diff --git a/changelog b/changelog index fc101e5..d401d98 100644 --- a/changelog +++ b/changelog @@ -1,4 +1,7 @@ -20100612 tpd src/axiom-website/patches.html 20100612.02.tpd.patch +20100613 tpd src/axiom-website/patches.html 20100613.01.tpd.patch +20100613 tpd src/input/Makefile rule-based hyper integration +20100613 tpd src/input/richhyper000-099.input rule-based hyper integration +20100612 tpd src/axiom-website/patches.html 20100612.02.tpd.patch 20100612 tpd src/input/Makefile rule-based trig integration 20100612 tpd src/input/richtrig900-920.input rule-based trig integration 20100612 tpd src/axiom-website/patches.html 20100612.01.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index a8ca385..59ce8e0 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2886,6 +2886,8 @@ src/input/richtrig700-799.input rule-based trig integration
src/input/richtrig800-899.input rule-based trig integration
20100612.02.tpd.patch src/input/richtrig900-920.input rule-based trig integration
+20100613.01.tpd.patch +src/input/richhyper000-099.input rule-based hyper integration diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index a8ad4d6..9d71982 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -375,6 +375,7 @@ REGRES= ackermann.regress \ richalgebraic300-399.regress \ richalgebraic400-461.regress \ richexponential.regress \ + richhyper000-099.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -704,6 +705,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richalgebraic300-399.input \ ${OUT}/richalgebraic400-461.input \ ${OUT}/richexponential.input \ + ${OUT}/richhyper000-099.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1062,6 +1064,7 @@ DOCFILES= \ ${DOC}/richalgebraic300-399.input.dvi \ ${DOC}/richalgebraic400-461.input.dvi \ ${DOC}/richexponential.input.dvi \ + ${DOC}/richhyper000-099.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper000-099.input.pamphlet b/src/input/richhyper000-099.input.pamphlet new file mode 100644 index 0000000..5c29993 --- /dev/null +++ b/src/input/richhyper000-099.input.pamphlet @@ -0,0 +1,67399 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper000-099.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper000-099.output +)spool richhyper000-099.output +)set message auto off +)clear all + +--S 1 of 510 +t0000:= sinh(a+b*x)^(1/2) +--R +--R +--R +-------------+ +--R (1) \|sinh(b x + a) +--R Type: Expression Integer +--E 1 + +--S 2 of 510 +r0000:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)*sinh(a+b*x)^(1/2)/b/(%i*sinh(a+b*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 510 +a0000:= integrate(t0000,x) +--R +--R +--R x +--R ++ +--------------+ +--R (2) | \|sinh(%N b + a) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 510 +m0000:= a0000-r0000 +--R +--R +--R x +--R ++ +--------------+ +--R (3) | \|sinh(%N b + a) d%N - r0000 +--R ++ +--R Type: Expression Integer +--E 4 + +--S 5 of 510 +d0000:= D(m0000,x) +--R +--R +--R +-------------+ +--R (4) \|sinh(b x + a) +--R Type: Expression Integer +--E 5 + +--S 6 of 510 +t0001:= sinh(a+b*x)^(3/2) +--R +--R +--R +-------------+ +--R (5) sinh(b x + a)\|sinh(b x + a) +--R Type: Expression Integer +--E 6 + +--S 7 of 510 +r0001:= 2/3*(%i*EllipticF(-1/4*%pi+1/2*%i*a+1/2*%i*b*x,2)*(%i*sinh(a+b*x))^(1/2)+cosh(a+b*x)*sinh(a+b*x))/sinh(a+b*x)^(1/2)/b +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Expression Complex Integer +--R Polynomial Complex Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 7 + +--S 8 of 510 +a0001:= integrate(t0001,x) +--R +--R +--R x +--R ++ +--------------+ +--R (6) | sinh(%N b + a)\|sinh(%N b + a) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 510 +m0001:= a0001-r0001 +--R +--R +--R x +--R ++ +--------------+ +--R (7) | sinh(%N b + a)\|sinh(%N b + a) d%N - r0001 +--R ++ +--R Type: Expression Integer +--E 9 + +--S 10 of 510 +d0001:= D(m0001,x) +--R +--R +--R +-------------+ +--R (8) sinh(b x + a)\|sinh(b x + a) +--R Type: Expression Integer +--E 10 + +--S 11 of 510 +t0002:= sinh(a+b*x)^(5/2) +--R +--R +--R 2 +-------------+ +--R (9) sinh(b x + a) \|sinh(b x + a) +--R Type: Expression Integer +--E 11 + +--S 12 of 510 +r0002:= 6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)*sinh(a+b*x)^(1/2)/b/(%i*sinh(a+b*x))^(1/2)+2/5*cosh(a+b*x)*sinh(a+b*x)^(3/2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 12 + +--S 13 of 510 +a0002:= integrate(t0002,x) +--R +--R +--R x +--R ++ 2 +--------------+ +--R (10) | sinh(%N b + a) \|sinh(%N b + a) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 510 +m0002:= a0002-r0002 +--R +--R +--R x +--R ++ 2 +--------------+ +--R (11) | sinh(%N b + a) \|sinh(%N b + a) d%N - r0002 +--R ++ +--R Type: Expression Integer +--E 14 + +--S 15 of 510 +d0002:= D(m0002,x) +--R +--R +--R 2 +-------------+ +--R (12) sinh(b x + a) \|sinh(b x + a) +--R Type: Expression Integer +--E 15 + +--S 16 of 510 +t0003:= 1/sinh(a+b*x)^(1/2) +--R +--R +--R 1 +--R (13) ---------------- +--R +-------------+ +--R \|sinh(b x + a) +--R Type: Expression Integer +--E 16 + +--S 17 of 510 +r0003:= -2*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b/sinh(a+b*x)^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 17 + +--S 18 of 510 +a0003:= integrate(t0003,x) +--R +--R +--R x +--R ++ 1 +--R (14) | ----------------- d%N +--R ++ +--------------+ +--R \|sinh(%N b + a) +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 510 +m0003:= a0003-r0003 +--R +--R +--R x +--R ++ 1 +--R (15) | ----------------- d%N - r0003 +--R ++ +--------------+ +--R \|sinh(%N b + a) +--R Type: Expression Integer +--E 19 + +--S 20 of 510 +d0003:= D(m0003,x) +--R +--R +--R 1 +--R (16) ---------------- +--R +-------------+ +--R \|sinh(b x + a) +--R Type: Expression Integer +--E 20 + +--S 21 of 510 +t0004:= 1/sinh(a+b*x)^(3/2) +--R +--R +--R 1 +--R (17) ----------------------------- +--R +-------------+ +--R sinh(b x + a)\|sinh(b x + a) +--R Type: Expression Integer +--E 21 + +--S 22 of 510 +r0004:= -2*cosh(a+b*x)/b/sinh(a+b*x)^(1/2)-2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)*sinh(a+b*x)^(1/2)/b/(%i*sinh(a+b*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 22 + +--S 23 of 510 +a0004:= integrate(t0004,x) +--R +--R +--R x +--R ++ 1 +--R (18) | ------------------------------- d%N +--R ++ +--------------+ +--R sinh(%N b + a)\|sinh(%N b + a) +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 510 +m0004:= a0004-r0004 +--R +--R +--R x +--R ++ 1 +--R (19) | ------------------------------- d%N - r0004 +--R ++ +--------------+ +--R sinh(%N b + a)\|sinh(%N b + a) +--R Type: Expression Integer +--E 24 + +--S 25 of 510 +d0004:= D(m0004,x) +--R +--R +--R 1 +--R (20) ----------------------------- +--R +-------------+ +--R sinh(b x + a)\|sinh(b x + a) +--R Type: Expression Integer +--E 25 + +--S 26 of 510 +t0005:= 1/sinh(a+b*x)^(5/2) +--R +--R +--R 1 +--R (21) ------------------------------ +--R 2 +-------------+ +--R sinh(b x + a) \|sinh(b x + a) +--R Type: Expression Integer +--E 26 + +--S 27 of 510 +r0005:= 2/3*(-cosh(a+b*x)+%i*EllipticF(-1/4*%pi+1/2*%i*a+1/2*%i*b*x,2)*(%i*sinh(a+b*x))^(1/2)*sinh(a+b*x))/b/sinh(a+b*x)^(3/2) +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Expression Complex Integer +--R Polynomial Complex Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 27 + +--S 28 of 510 +a0005:= integrate(t0005,x) +--R +--R +--R x +--R ++ 1 +--R (22) | -------------------------------- d%N +--R ++ 2 +--------------+ +--R sinh(%N b + a) \|sinh(%N b + a) +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 510 +m0005:= a0005-r0005 +--R +--R +--R x +--R ++ 1 +--R (23) | -------------------------------- d%N - r0005 +--R ++ 2 +--------------+ +--R sinh(%N b + a) \|sinh(%N b + a) +--R Type: Expression Integer +--E 29 + +--S 30 of 510 +d0005:= D(m0005,x) +--R +--R +--R 1 +--R (24) ------------------------------ +--R 2 +-------------+ +--R sinh(b x + a) \|sinh(b x + a) +--R Type: Expression Integer +--E 30 + +--S 31 of 510 +t0006:= sinh(a+b*x^n)/x +--R +--R +--R n +--R sinh(b x + a) +--R (25) -------------- +--R x +--R Type: Expression Integer +--E 31 + +--S 32 of 510 +r0006:= (Chi(b*x^n)*sinh(a)+cosh(a)*Shi(b*x^n))/n +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 510 +a0006:= integrate(t0006,x) +--R +--R +--R x n +--R ++ sinh(b %N + a) +--R (26) | --------------- d%N +--R ++ %N +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 510 +m0006:= a0006-r0006 +--R +--R +--R x n +--R ++ sinh(b %N + a) +--R (27) | --------------- d%N - r0006 +--R ++ %N +--R Type: Expression Integer +--E 34 + +--S 35 of 510 +d0006:= D(m0006,x) +--R +--R +--R n +--R sinh(b x + a) +--R (28) -------------- +--R x +--R Type: Expression Integer +--E 35 + +--S 36 of 510 +t0007:= sinh(a+b*x)/x^2 +--R +--R +--R sinh(b x + a) +--R (29) ------------- +--R 2 +--R x +--R Type: Expression Integer +--E 36 + +--S 37 of 510 +r0007:= b*cosh(a)*Chi(b*x)-sinh(a+b*x)/x+b*sinh(a)*Shi(b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 37 + +--S 38 of 510 +a0007:= integrate(t0007,x) +--R +--R +--R x +--R ++ sinh(%N b + a) +--R (30) | -------------- d%N +--R ++ 2 +--R %N +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 510 +m0007:= a0007-r0007 +--R +--R +--R x +--R ++ sinh(%N b + a) +--R (31) | -------------- d%N - r0007 +--R ++ 2 +--R %N +--R Type: Expression Integer +--E 39 + +--S 40 of 510 +d0007:= D(m0007,x) +--R +--R +--R sinh(b x + a) +--R (32) ------------- +--R 2 +--R x +--R Type: Expression Integer +--E 40 + +--S 41 of 510 +t0008:= sinh(a+b*x)^3/x^2 +--R +--R +--R 3 +--R sinh(b x + a) +--R (33) -------------- +--R 2 +--R x +--R Type: Expression Integer +--E 41 + +--S 42 of 510 +r0008:= -1/4*(3*b*cosh(a)*Chi(b*x)*x-3*b*cosh(3*a)*Chi(3*b*x)*x-3*sinh(a+b*x)+sinh(3*a+3*b*x)+3*b*sinh(a)*Shi(b*x)*x-3*b*sinh(3*a)*Shi(3*b*x)*x)/x +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 42 + +--S 43 of 510 +a0008:= integrate(t0008,x) +--R +--R +--R x 3 +--R ++ sinh(%N b + a) +--R (34) | --------------- d%N +--R ++ 2 +--R %N +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 510 +m0008:= a0008-r0008 +--R +--R +--R x 3 +--R ++ sinh(%N b + a) +--R (35) | --------------- d%N - r0008 +--R ++ 2 +--R %N +--R Type: Expression Integer +--E 44 + +--S 45 of 510 +d0008:= D(m0008,x) +--R +--R +--R 3 +--R sinh(b x + a) +--R (36) -------------- +--R 2 +--R x +--R Type: Expression Integer +--E 45 + +--S 46 of 510 +t0009:= sinh(a+b*x)/x^3 +--R +--R +--R sinh(b x + a) +--R (37) ------------- +--R 3 +--R x +--R Type: Expression Integer +--E 46 + +--S 47 of 510 +r0009:= 1/2*(-b*cosh(a+b*x)*x+b^2*Chi(b*x)*sinh(a)*x^2-sinh(a+b*x)+b^2*cosh(a)*Shi(b*x)*x^2)/x^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 47 + +--S 48 of 510 +a0009:= integrate(t0009,x) +--R +--R +--R x +--R ++ sinh(%N b + a) +--R (38) | -------------- d%N +--R ++ 3 +--R %N +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 510 +m0009:= a0009-r0009 +--R +--R +--R x +--R ++ sinh(%N b + a) +--R (39) | -------------- d%N - r0009 +--R ++ 3 +--R %N +--R Type: Expression Integer +--E 49 + +--S 50 of 510 +d0009:= D(m0009,x) +--R +--R +--R sinh(b x + a) +--R (40) ------------- +--R 3 +--R x +--R Type: Expression Integer +--E 50 + +--S 51 of 510 +t0010:= sinh(a+b*x)^2/x^3 +--R +--R +--R 2 +--R sinh(b x + a) +--R (41) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 51 + +--S 52 of 510 +r0010:= b^2*cosh(2*a)*Chi(2*b*x)-b*cosh(a+b*x)*sinh(a+b*x)/x-1/2*sinh(a+b*x)^2/x^2+b^2*sinh(2*a)*Shi(2*b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 52 + +--S 53 of 510 +a0010:= integrate(t0010,x) +--R +--R +--R x 2 +--R ++ sinh(%N b + a) +--R (42) | --------------- d%N +--R ++ 3 +--R %N +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 510 +m0010:= a0010-r0010 +--R +--R +--R x 2 +--R ++ sinh(%N b + a) +--R (43) | --------------- d%N - r0010 +--R ++ 3 +--R %N +--R Type: Expression Integer +--E 54 + +--S 55 of 510 +d0010:= D(m0010,x) +--R +--R +--R 2 +--R sinh(b x + a) +--R (44) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 55 + +--S 56 of 510 +t0011:= sinh(a+b*x)^3/x^3 +--R +--R +--R 3 +--R sinh(b x + a) +--R (45) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 56 + +--S 57 of 510 +r0011:= -3/8*b^2*Chi(b*x)*sinh(a)+9/8*b^2*Chi(3*b*x)*sinh(3*a)-3/2*b*cosh(a+b*x)*sinh(a+b*x)^2/x-1/2*sinh(a+b*x)^3/x^2-3/8*b^2*cosh(a)*Shi(b*x)+9/8*b^2*cosh(3*a)*Shi(3*b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 57 + +--S 58 of 510 +a0011:= integrate(t0011,x) +--R +--R +--R x 3 +--R ++ sinh(%N b + a) +--R (46) | --------------- d%N +--R ++ 3 +--R %N +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 510 +m0011:= a0011-r0011 +--R +--R +--R x 3 +--R ++ sinh(%N b + a) +--R (47) | --------------- d%N - r0011 +--R ++ 3 +--R %N +--R Type: Expression Integer +--E 59 + +--S 60 of 510 +d0011:= D(m0011,x) +--R +--R +--R 3 +--R sinh(b x + a) +--R (48) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 60 + +--S 61 of 510 +t0012:= sinh(x)^(1/2) +--R +--R +--R +-------+ +--R (49) \|sinh(x) +--R Type: Expression Integer +--E 61 + +--S 62 of 510 +r0012:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*x,2)*sinh(x)^(1/2)/(%i*sinh(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 62 + +--S 63 of 510 +a0012:= integrate(t0012,x) +--R +--R +--R x +--R ++ +--------+ +--R (50) | \|sinh(%N) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 510 +m0012:= a0012-r0012 +--R +--R +--R x +--R ++ +--------+ +--R (51) | \|sinh(%N) d%N - r0012 +--R ++ +--R Type: Expression Integer +--E 64 + +--S 65 of 510 +d0012:= D(m0012,x) +--R +--R +--R +-------+ +--R (52) \|sinh(x) +--R Type: Expression Integer +--E 65 + +--S 66 of 510 +t0013:= (sinh(x)^3)^(1/2) +--R +--R +--R +--------+ +--R | 3 +--R (53) \|sinh(x) +--R Type: Expression Integer +--E 66 + +--S 67 of 510 +r0013:= -2/3*csch(x)^2*(sinh(x)^3)^(1/2)*(-%i*EllipticF(-1/4*%pi+1/2*%i*x,2)*(%i*sinh(x))^(1/2)-cosh(x)*sinh(x)) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 67 + +--S 68 of 510 +a0013:= integrate(t0013,x) +--R +--R +--R x +---------+ +--R ++ | 3 +--R (54) | \|sinh(%N) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 510 +m0013:= a0013-r0013 +--R +--R +--R x +---------+ +--R ++ | 3 +--R (55) | \|sinh(%N) d%N - r0013 +--R ++ +--R Type: Expression Integer +--E 69 + +--S 70 of 510 +d0013:= D(m0013,x) +--R +--R +--R +--------+ +--R | 3 +--R (56) \|sinh(x) +--R Type: Expression Integer +--E 70 + +--S 71 of 510 +t0014:= (sinh(x)^4)^(1/2) +--R +--R +--R +--------+ +--R | 4 +--R (57) \|sinh(x) +--R Type: Expression Integer +--E 71 + +--S 72 of 510 +r0014:= -1/2*csch(x)^2*(sinh(x)^4)^(1/2)*(x-cosh(x)*sinh(x)) +--R +--R +--R +--------+ +--R 2 2 | 4 +--R (cosh(x)csch(x) sinh(x) - x csch(x) )\|sinh(x) +--R (58) ------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 72 + +--S 73 of 510 +a0014:= integrate(t0014,x) +--R +--R +--R cosh(x)sinh(x) - x +--R (59) ------------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 510 +m0014:= a0014-r0014 +--R +--R +--R (60) +--R +--------+ +--R 2 2 | 4 +--R (- cosh(x)csch(x) sinh(x) + x csch(x) )\|sinh(x) + cosh(x)sinh(x) - x +--R ----------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 74 + +--S 75 of 510 +d0014:= D(m0014,x) +--R +--R +--R (61) +--R +--------+ +--R 2 2 | 4 2 6 +--R (sinh(x) + cosh(x) - 1)\|sinh(x) - csch(x) sinh(x) +--R + +--R 2 5 +--R 2cosh(x)coth(x)csch(x) sinh(x) +--R + +--R 2 2 4 2 3 +--R (- 2x coth(x) - 3cosh(x) + 1)csch(x) sinh(x) + 2x cosh(x)csch(x) sinh(x) +--R / +--R +--------+ +--R | 4 +--R 2\|sinh(x) +--R Type: Expression Integer +--E 75 + +--S 76 of 510 +t0015:= 1/(a+b*sinh(c+d*x))^2 +--R +--R +--R 1 +--R (62) ------------------------------------------ +--R 2 2 2 +--R b sinh(d x + c) + 2a b sinh(d x + c) + a +--R Type: Expression Integer +--E 76 + +--S 77 of 510 +r0015:= -2*a*atanh((b-a*tanh(1/2*c+1/2*d*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)/d-b*cosh(c+d*x)/(a^2+b^2)/d/(a+b*sinh(c+d*x)) +--R +--R +--R (63) +--R d x + c +--R a tanh(-------) - b +--R 2 2 +--R (2a b sinh(d x + c) + 2a )atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R | 2 2 +--R - b cosh(d x + c)\|b + a +--R / +--R +-------+ +--R 3 2 2 3 | 2 2 +--R ((b + a b)d sinh(d x + c) + (a b + a )d)\|b + a +--R Type: Expression Integer +--E 77 + +--S 78 of 510 +a0015:= integrate(t0015,x) +--R +--R +--R (64) +--R 2 2 +--R a b sinh(d x + c) + (2a b cosh(d x + c) + 2a )sinh(d x + c) +--R + +--R 2 2 +--R a b cosh(d x + c) + 2a cosh(d x + c) - a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 +--R (- 2b - 2a b)sinh(d x + c) + (- 2b - 2a b)cosh(d x + c) +--R + +--R 2 3 +--R - 2a b - 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R +-------+ +--R | 2 2 +--R (2a sinh(d x + c) + 2a cosh(d x + c) - 2b)\|b + a +--R / +--R 3 2 2 +--R (b + a b)d sinh(d x + c) +--R + +--R 3 2 2 3 +--R ((2b + 2a b)d cosh(d x + c) + (2a b + 2a )d)sinh(d x + c) +--R + +--R 3 2 2 2 3 3 2 +--R (b + a b)d cosh(d x + c) + (2a b + 2a )d cosh(d x + c) + (- b - a b)d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 510 +m0015:= a0015-r0015 +--R +--R +--R (65) +--R 2 3 2 2 2 +--R a b sinh(d x + c) + (2a b cosh(d x + c) + 3a b)sinh(d x + c) +--R + +--R 2 2 2 2 3 +--R (a b cosh(d x + c) + 4a b cosh(d x + c) - a b + 2a )sinh(d x + c) +--R + +--R 2 2 3 2 +--R a b cosh(d x + c) + 2a cosh(d x + c) - a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 +--R (- 2b - 2a b)sinh(d x + c) + (- 2b - 2a b)cosh(d x + c) +--R + +--R 2 3 +--R - 2a b - 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R 2 3 2 2 2 +--R - 2a b sinh(d x + c) + (- 4a b cosh(d x + c) - 6a b)sinh(d x + c) +--R + +--R 2 2 2 2 3 +--R (- 2a b cosh(d x + c) - 8a b cosh(d x + c) + 2a b - 4a ) +--R * +--R sinh(d x + c) +--R + +--R 2 2 3 2 +--R - 2a b cosh(d x + c) - 4a cosh(d x + c) + 2a b +--R * +--R d x + c +--R a tanh(-------) - b +--R 2 +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 +--R (b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (2b cosh(d x + c) + 4a b cosh(d x + c) - 2b + 2a )sinh(d x + c) +--R + +--R 2 3 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + (- b + 2a )cosh(d x + c) +--R + +--R - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 2 2 3 +--R (b + a b )d sinh(d x + c) +--R + +--R 4 2 2 3 3 2 +--R ((2b + 2a b )d cosh(d x + c) + (3a b + 3a b)d)sinh(d x + c) +--R + +--R 4 2 2 2 3 3 +--R (b + a b )d cosh(d x + c) + (4a b + 4a b)d cosh(d x + c) +--R + +--R 4 2 2 4 +--R (- b + a b + 2a )d +--R * +--R sinh(d x + c) +--R + +--R 3 3 2 2 2 4 +--R (a b + a b)d cosh(d x + c) + (2a b + 2a )d cosh(d x + c) +--R + +--R 3 3 +--R (- a b - a b)d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 79 + +--S 80 of 510 +d0015:= D(m0015,x) +--R +--R +--R (66) +--R 2 3 5 +--R - a b sinh(d x + c) +--R + +--R 4 2 2 3 4 3 2 +--R (- a b cosh(d x + c) - 4a b cosh(d x + c) + 4a b - a b ) +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 4 3 2 3 2 +--R - 4a b cosh(d x + c) - 10a b cosh(d x + c) +--R + +--R 4 3 2 2 3 +--R (8a b - 8a b )cosh(d x + c) + 10a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 4 2 3 3 +--R - 6a b cosh(d x + c) - 16a b cosh(d x + c) +--R + +--R 4 3 2 2 2 3 4 +--R (6a b - 18a b )cosh(d x + c) + (20a b - 4a b)cosh(d x + c) +--R + +--R 3 2 +--R 10a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 5 2 3 4 +--R - 4a b cosh(d x + c) - 13a b cosh(d x + c) +--R + +--R 4 3 2 3 2 3 4 2 +--R (4a b - 16a b )cosh(d x + c) + (14a b - 8a b)cosh(d x + c) +--R + +--R 3 2 2 3 4 +--R 16a b cosh(d x + c) - a b + 4a b +--R * +--R sinh(d x + c) +--R + +--R 4 6 2 3 5 +--R - a b cosh(d x + c) - 4a b cosh(d x + c) +--R + +--R 4 3 2 4 2 3 4 3 +--R (2a b - 5a b )cosh(d x + c) + (4a b - 4a b)cosh(d x + c) +--R + +--R 4 3 2 2 4 3 2 +--R (- a b + 6a b )cosh(d x + c) + 4a b cosh(d x + c) - a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 5 6 5 4 5 +--R - 2b sinh(d x + c) + (- 8b cosh(d x + c) - 10a b )sinh(d x + c) +--R + +--R 5 2 4 5 2 3 +--R (- 10b cosh(d x + c) - 32a b cosh(d x + c) - 4b - 24a b ) +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 4 2 5 2 3 4 +--R - 28a b cosh(d x + c) + (- 8b - 56a b )cosh(d x + c) - 4a b +--R + +--R 3 2 +--R - 24a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 4 4 3 +--R 10b cosh(d x + c) + 8a b cosh(d x + c) +--R + +--R 5 2 3 2 4 3 2 +--R (- 8b - 32a b )cosh(d x + c) + (- 16a b - 48a b )cosh(d x + c) +--R + +--R 5 4 +--R - 2b - 8a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 5 4 4 +--R 8b cosh(d x + c) + 22a b cosh(d x + c) +--R + +--R 5 2 3 3 4 3 2 2 +--R (- 8b + 8a b )cosh(d x + c) + (- 20a b - 24a b )cosh(d x + c) +--R + +--R 2 3 4 4 +--R (- 8a b - 16a b)cosh(d x + c) - 2a b +--R * +--R sinh(d x + c) +--R + +--R 5 6 4 5 +--R 2b cosh(d x + c) + 8a b cosh(d x + c) +--R + +--R 5 2 3 4 4 3 +--R (- 4b + 8a b )cosh(d x + c) - 8a b cosh(d x + c) +--R + +--R 5 2 3 4 2 +--R (2b - 8a b - 8a b)cosh(d x + c) +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 2 3 5 +--R a b sinh(d x + c) +--R + +--R 4 2 2 3 4 3 2 4 +--R (a b cosh(d x + c) + 4a b cosh(d x + c) - 4a b + a b )sinh(d x + c) +--R + +--R 4 3 2 3 2 +--R 4a b cosh(d x + c) + 10a b cosh(d x + c) +--R + +--R 4 3 2 2 3 +--R (- 8a b + 8a b )cosh(d x + c) - 10a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 4 2 3 3 +--R 6a b cosh(d x + c) + 16a b cosh(d x + c) +--R + +--R 4 3 2 2 2 3 4 +--R (- 6a b + 18a b )cosh(d x + c) + (- 20a b + 4a b)cosh(d x + c) +--R + +--R 3 2 +--R - 10a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 5 2 3 4 +--R 4a b cosh(d x + c) + 13a b cosh(d x + c) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 4a b + 16a b )cosh(d x + c) + (- 14a b + 8a b)cosh(d x + c) +--R + +--R 3 2 2 3 4 +--R - 16a b cosh(d x + c) + a b - 4a b +--R * +--R sinh(d x + c) +--R + +--R 4 6 2 3 5 +--R a b cosh(d x + c) + 4a b cosh(d x + c) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 2a b + 5a b )cosh(d x + c) + (- 4a b + 4a b)cosh(d x + c) +--R + +--R 4 3 2 2 4 3 2 +--R (a b - 6a b )cosh(d x + c) - 4a b cosh(d x + c) + a b +--R / +--R 6 3 4 6 +--R (a b + a b )sinh(d x + c) +--R + +--R 6 3 4 2 5 4 3 5 +--R ((4a b + 4a b )cosh(d x + c) + 6a b + 6a b )sinh(d x + c) +--R + +--R 6 3 4 2 2 5 4 3 +--R (6a b + 6a b )cosh(d x + c) + (20a b + 20a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 +--R - 2a b + 11a b + 13a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 3 4 3 2 5 4 3 2 +--R (4a b + 4a b )cosh(d x + c) + (24a b + 24a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (- 4a b + 32a b + 36a b )cosh(d x + c) - 8a b + 4a b + 12a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (a b + a b )cosh(d x + c) + (12a b + 12a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 2 +--R (- 2a b + 32a b + 34a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (- 12a b + 16a b + 28a b)cosh(d x + c) + a b - 9a b - 6a b +--R + +--R 7 +--R 4a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (2a b + 2a b )cosh(d x + c) + (12a b + 12a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 2 +--R (- 4a b + 16a b + 20a b)cosh(d x + c) +--R + +--R 3 4 5 2 7 2 5 4 3 6 +--R (- 12a b - 4a b + 8a )cosh(d x + c) + 2a b - 2a b - 4a b +--R * +--R sinh(d x + c) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (a b + a b )cosh(d x + c) + (4a b + 4a b)cosh(d x + c) +--R + +--R 3 4 5 2 7 2 4 3 6 +--R (- 2a b + 2a b + 4a )cosh(d x + c) + (- 4a b - 4a b)cosh(d x + c) +--R + +--R 3 4 5 2 +--R a b + a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 7 2 5 6 +--R (- 2b - 2a b )sinh(d x + c) +--R + +--R 7 2 5 6 3 4 5 +--R ((- 8b - 8a b )cosh(d x + c) - 12a b - 12a b )sinh(d x + c) +--R + +--R 7 2 5 2 +--R (- 12b - 12a b )cosh(d x + c) +--R + +--R 6 3 4 7 2 5 4 3 +--R (- 40a b - 40a b )cosh(d x + c) + 4b - 22a b - 26a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 7 2 5 3 6 3 4 2 +--R (- 8b - 8a b )cosh(d x + c) + (- 48a b - 48a b )cosh(d x + c) +--R + +--R 7 2 5 4 3 6 3 4 5 2 +--R (8b - 64a b - 72a b )cosh(d x + c) + 16a b - 8a b - 24a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 7 2 5 4 6 3 4 3 +--R (- 2b - 2a b )cosh(d x + c) + (- 24a b - 24a b )cosh(d x + c) +--R + +--R 7 2 5 4 3 2 +--R (4b - 64a b - 68a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 7 2 5 4 3 +--R (24a b - 32a b - 56a b )cosh(d x + c) - 2b + 18a b + 12a b +--R + +--R 6 +--R - 8a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 3 4 4 +--R (- 4a b - 4a b )cosh(d x + c) +--R + +--R 2 5 4 3 3 +--R (- 24a b - 24a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 2 +--R (8a b - 32a b - 40a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (24a b + 8a b - 16a b)cosh(d x + c) - 4a b + 4a b + 8a b +--R * +--R sinh(d x + c) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (- 2a b - 2a b )cosh(d x + c) + (- 8a b - 8a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 2 3 4 5 2 +--R (4a b - 4a b - 8a b)cosh(d x + c) + (8a b + 8a b )cosh(d x + c) +--R + +--R 2 5 4 3 +--R - 2a b - 2a b +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 6 3 4 6 +--R (- a b - a b )sinh(d x + c) +--R + +--R 6 3 4 2 5 4 3 5 +--R ((- 4a b - 4a b )cosh(d x + c) - 6a b - 6a b )sinh(d x + c) +--R + +--R 6 3 4 2 2 5 4 3 +--R (- 6a b - 6a b )cosh(d x + c) + (- 20a b - 20a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 +--R 2a b - 11a b - 13a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 3 4 3 2 5 4 3 2 +--R (- 4a b - 4a b )cosh(d x + c) + (- 24a b - 24a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (4a b - 32a b - 36a b )cosh(d x + c) + 8a b - 4a b - 12a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- a b - a b )cosh(d x + c) + (- 12a b - 12a b )cosh(d x + c) +--R + +--R 6 3 4 5 2 2 +--R (2a b - 32a b - 34a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 6 3 4 5 2 7 +--R (12a b - 16a b - 28a b)cosh(d x + c) - a b + 9a b + 6a b - 4a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (- 2a b - 2a b )cosh(d x + c) + (- 12a b - 12a b )cosh(d x + c) +--R + +--R 2 5 4 3 6 2 +--R (4a b - 16a b - 20a b)cosh(d x + c) +--R + +--R 3 4 5 2 7 2 5 4 3 6 +--R (12a b + 4a b - 8a )cosh(d x + c) - 2a b + 2a b + 4a b +--R * +--R sinh(d x + c) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (- a b - a b )cosh(d x + c) + (- 4a b - 4a b)cosh(d x + c) +--R + +--R 3 4 5 2 7 2 4 3 6 3 4 +--R (2a b - 2a b - 4a )cosh(d x + c) + (4a b + 4a b)cosh(d x + c) - a b +--R + +--R 5 2 +--R - a b +--R Type: Expression Integer +--E 80 + +--S 81 of 510 +t0016:= 1/(a+b*sinh(c+d*x))^3 +--R +--R +--R 1 +--R (67) ---------------------------------------------------------------- +--R 3 3 2 2 2 3 +--R b sinh(d x + c) + 3a b sinh(d x + c) + 3a b sinh(d x + c) + a +--R Type: Expression Integer +--E 81 + +--S 82 of 510 +r0016:= -(-b^2+2*a^2)*atanh((b-a*tanh(1/2*c+1/2*d*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)/d-1/2*b*cosh(c+d*x)/(a^2+b^2)/d/(a+b*sinh(c+d*x))^2-3/2*a*b*cosh(c+d*x)/(a^2+b^2)^2/d/(a+b*sinh(c+d*x)) +--R +--R +--R (68) +--R 4 2 2 2 3 3 2 2 +--R (- 2b + 4a b )sinh(d x + c) + (- 4a b + 8a b)sinh(d x + c) - 2a b +--R + +--R 4 +--R 4a +--R * +--R d x + c +--R a tanh(-------) - b +--R 2 +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 3 2 | 2 2 +--R (- 3a b cosh(d x + c)sinh(d x + c) + (- b - 4a b)cosh(d x + c))\|b + a +--R / +--R 6 2 4 4 2 2 +--R (2b + 4a b + 2a b )d sinh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (4a b + 8a b + 4a b)d sinh(d x + c) + (2a b + 4a b + 2a )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 82 + +--S 83 of 510 +a0016:= integrate(t0016,x) +--R +--R +--R (69) +--R 4 2 2 4 +--R (b - 2a b )sinh(d x + c) +--R + +--R 4 2 2 3 3 3 +--R ((4b - 8a b )cosh(d x + c) + 4a b - 8a b)sinh(d x + c) +--R + +--R 4 2 2 2 3 3 +--R (6b - 12a b )cosh(d x + c) + (12a b - 24a b)cosh(d x + c) +--R + +--R 4 2 2 4 +--R - 2b + 8a b - 8a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 2 2 3 3 3 2 +--R (4b - 8a b )cosh(d x + c) + (12a b - 24a b)cosh(d x + c) +--R + +--R 4 2 2 4 3 3 +--R (- 4b + 16a b - 16a )cosh(d x + c) - 4a b + 8a b +--R * +--R sinh(d x + c) +--R + +--R 4 2 2 4 3 3 3 +--R (b - 2a b )cosh(d x + c) + (4a b - 8a b)cosh(d x + c) +--R + +--R 4 2 2 4 2 3 3 +--R (- 2b + 8a b - 8a )cosh(d x + c) + (- 4a b + 8a b)cosh(d x + c) +--R + +--R 4 2 2 +--R b - 2a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 +--R (2b + 2a b)sinh(d x + c) + (2b + 2a b)cosh(d x + c) + 2a b +--R + +--R 3 +--R 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R 3 2 3 +--R (- 2b + 4a b)sinh(d x + c) +--R + +--R 3 2 2 3 2 +--R ((- 6b + 12a b)cosh(d x + c) - 6a b + 12a )sinh(d x + c) +--R + +--R 3 2 2 2 3 +--R (- 6b + 12a b)cosh(d x + c) + (- 12a b + 24a )cosh(d x + c) +--R + +--R 3 2 +--R - 2b - 20a b +--R * +--R sinh(d x + c) +--R + +--R 3 2 3 2 3 2 +--R (- 2b + 4a b)cosh(d x + c) + (- 6a b + 12a )cosh(d x + c) +--R + +--R 3 2 2 +--R (- 2b - 20a b)cosh(d x + c) + 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 6 2 4 4 2 4 +--R (2b + 4a b + 2a b )d sinh(d x + c) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R ((8b + 16a b + 8a b )d cosh(d x + c) + (8a b + 16a b + 8a b)d) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 2 4 4 2 2 +--R (12b + 24a b + 12a b )d cosh(d x + c) +--R + +--R 5 3 3 5 6 4 2 6 +--R (24a b + 48a b + 24a b)d cosh(d x + c) + (- 4b + 12a b + 8a )d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 2 4 4 2 3 +--R (8b + 16a b + 8a b )d cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (24a b + 48a b + 24a b)d cosh(d x + c) +--R + +--R 6 4 2 6 5 3 3 5 +--R (- 8b + 24a b + 16a )d cosh(d x + c) + (- 8a b - 16a b - 8a b)d +--R * +--R sinh(d x + c) +--R + +--R 6 2 4 4 2 4 +--R (2b + 4a b + 2a b )d cosh(d x + c) +--R + +--R 5 3 3 5 3 +--R (8a b + 16a b + 8a b)d cosh(d x + c) +--R + +--R 6 4 2 6 2 +--R (- 4b + 12a b + 8a )d cosh(d x + c) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 8a b - 16a b - 8a b)d cosh(d x + c) + (2b + 4a b + 2a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 510 +m0016:= a0016-r0016 +--R +--R +--R (70) +--R 6 2 4 6 +--R (b - 2a b )sinh(d x + c) +--R + +--R 6 2 4 5 3 3 5 +--R ((4b - 8a b )cosh(d x + c) + 6a b - 12a b )sinh(d x + c) +--R + +--R 6 2 4 2 5 3 3 +--R (6b - 12a b )cosh(d x + c) + (20a b - 40a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 +--R - 2b + 17a b - 26a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 2 4 3 5 3 3 2 +--R (4b - 8a b )cosh(d x + c) + (24a b - 48a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 4b + 44a b - 72a b )cosh(d x + c) - 8a b + 28a b - 24a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 2 4 4 5 3 3 3 +--R (b - 2a b )cosh(d x + c) + (12a b - 24a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 2 +--R (- 2b + 38a b - 68a b )cosh(d x + c) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 12a b + 52a b - 56a b)cosh(d x + c) + b - 12a b + 24a b +--R + +--R 6 +--R - 8a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (2a b - 4a b )cosh(d x + c) + (12a b - 24a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 4a b + 28a b - 40a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 12a b + 32a b - 16a )cosh(d x + c) + 2a b - 8a b + 8a b +--R * +--R sinh(d x + c) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (a b - 2a b )cosh(d x + c) + (4a b - 8a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (- 2a b + 8a b - 8a )cosh(d x + c) + (- 4a b + 8a b)cosh(d x + c) +--R + +--R 2 4 4 2 +--R a b - 2a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 +--R (2b + 2a b)sinh(d x + c) + (2b + 2a b)cosh(d x + c) + 2a b +--R + +--R 3 +--R 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R 6 2 4 6 +--R (2b - 4a b )sinh(d x + c) +--R + +--R 6 2 4 5 3 3 5 +--R ((8b - 16a b )cosh(d x + c) + 12a b - 24a b )sinh(d x + c) +--R + +--R 6 2 4 2 5 3 3 +--R (12b - 24a b )cosh(d x + c) + (40a b - 80a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 +--R - 4b + 34a b - 52a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 2 4 3 5 3 3 2 +--R (8b - 16a b )cosh(d x + c) + (48a b - 96a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 8b + 88a b - 144a b )cosh(d x + c) - 16a b + 56a b - 48a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 2 4 4 5 3 3 3 +--R (2b - 4a b )cosh(d x + c) + (24a b - 48a b )cosh(d x + c) +--R + +--R 6 2 4 4 2 2 +--R (- 4b + 76a b - 136a b )cosh(d x + c) +--R + +--R 5 3 3 5 6 2 4 +--R (- 24a b + 104a b - 112a b)cosh(d x + c) + 2b - 24a b +--R + +--R 4 2 6 +--R 48a b - 16a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (4a b - 8a b )cosh(d x + c) + (24a b - 48a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 8a b + 56a b - 80a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 24a b + 64a b - 32a )cosh(d x + c) + 4a b - 16a b + 16a b +--R * +--R sinh(d x + c) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (2a b - 4a b )cosh(d x + c) + (8a b - 16a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (- 4a b + 16a b - 16a )cosh(d x + c) +--R + +--R 3 3 5 2 4 4 2 +--R (- 8a b + 16a b)cosh(d x + c) + 2a b - 4a b +--R * +--R d x + c +--R a tanh(-------) - b +--R 2 +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 5 2 3 5 +--R (3a b cosh(d x + c) - 2b + 4a b )sinh(d x + c) +--R + +--R 4 2 5 2 3 4 +--R 12a b cosh(d x + c) + (- 5b + 28a b )cosh(d x + c) - 10a b +--R + +--R 3 2 +--R 20a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 4 3 5 2 3 2 +--R 18a b cosh(d x + c) + (- 2b + 64a b )cosh(d x + c) +--R + +--R 4 3 2 5 2 3 4 +--R (- 26a b + 76a b )cosh(d x + c) - 2b - 34a b + 28a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 4 5 2 3 3 +--R 12a b cosh(d x + c) + (4b + 64a b )cosh(d x + c) +--R + +--R 4 3 2 2 +--R (- 18a b + 108a b )cosh(d x + c) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 4b - 66a b + 76a b)cosh(d x + c) + 2a b - 46a b + 12a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 5 5 2 3 4 +--R 3a b cosh(d x + c) + (4b + 28a b )cosh(d x + c) +--R + +--R 4 3 2 3 +--R (2a b + 68a b )cosh(d x + c) +--R + +--R 5 2 3 4 2 +--R (- 4b - 38a b + 68a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 3 4 +--R (- 5a b - 68a b + 24a )cosh(d x + c) + 10a b - 20a b +--R * +--R sinh(d x + c) +--R + +--R 5 2 3 5 4 3 2 4 +--R (b + 4a b )cosh(d x + c) + (4a b + 16a b )cosh(d x + c) +--R + +--R 5 2 3 4 3 +--R (- 2b - 6a b + 20a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 +--R (- 4a b - 22a b + 12a )cosh(d x + c) +--R + +--R 5 2 3 4 3 2 +--R (b + 2a b - 20a b)cosh(d x + c) + 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 8 2 6 4 4 6 +--R (2b + 4a b + 2a b )d sinh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 5 3 +--R ((8b + 16a b + 8a b )d cosh(d x + c) + (12a b + 24a b + 12a b )d) +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (12b + 24a b + 12a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 +--R (40a b + 80a b + 40a b )d cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 +--R (- 4b + 18a b + 48a b + 26a b )d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (8b + 16a b + 8a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (48a b + 96a b + 48a b )d cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 +--R (- 8b + 56a b + 136a b + 72a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 7 +--R (- 16a b - 8a b + 32a b + 24a b)d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (2b + 4a b + 2a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (24a b + 48a b + 24a b )d cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 4b + 60a b + 132a b + 68a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 7 +--R (- 24a b + 8a b + 88a b + 56a b)d cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 +--R (2b - 16a b - 30a b - 4a b + 8a )d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (4a b + 8a b + 4a b )d cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 +--R (24a b + 48a b + 24a b )d cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 8a b + 24a b + 72a b + 40a b)d cosh(d x + c) +--R + +--R 2 6 4 4 6 2 8 +--R (- 24a b - 32a b + 8a b + 16a )d cosh(d x + c) +--R + +--R 7 5 3 7 +--R (4a b - 12a b - 8a b)d +--R * +--R sinh(d x + c) +--R + +--R 2 6 4 4 6 2 4 +--R (2a b + 4a b + 2a b )d cosh(d x + c) +--R + +--R 3 5 5 3 7 3 +--R (8a b + 16a b + 8a b)d cosh(d x + c) +--R + +--R 2 6 6 2 8 2 +--R (- 4a b + 12a b + 8a )d cosh(d x + c) +--R + +--R 3 5 5 3 7 2 6 4 4 6 2 +--R (- 8a b - 16a b - 8a b)d cosh(d x + c) + (2a b + 4a b + 2a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 84 + +--S 85 of 510 +d0016:= D(m0016,x) +--R +--R +--R (71) +--R 8 2 6 9 +--R (b + a b )sinh(d x + c) +--R + +--R 8 2 6 7 3 5 8 +--R ((6b + 6a b )cosh(d x + c) + 10a b + 7a b )sinh(d x + c) +--R + +--R 8 2 6 2 7 3 5 +--R (15b + 12a b )cosh(d x + c) + (54a b + 36a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 +--R - 3b + 37a b + 16a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 2 6 3 7 3 5 2 +--R (20b + 2a b )cosh(d x + c) + (118a b + 52a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 5 3 +--R (- 12b + 180a b + 66a b )cosh(d x + c) - 8a b + 98a b + 22a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 4 7 3 5 3 +--R (15b - 30a b )cosh(d x + c) + (128a b - 40a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (- 18b + 351a b + 36a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 +--R (- 36a b + 390a b + 48a b )cosh(d x + c) + 3b - 21a b +--R + +--R 4 4 6 2 +--R 164a b + 20a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 5 7 3 5 4 +--R (6b - 54a b )cosh(d x + c) + (60a b - 210a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (- 12b + 332a b - 226a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 54a b + 636a b - 90a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 7 3 5 +--R (6b - 66a b + 570a b + 12a b )cosh(d x + c) + 18a b - 42a b +--R + +--R 5 3 7 +--R 158a b + 8a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 6 7 3 5 5 +--R (b - 44a b )cosh(d x + c) + (- 10a b - 268a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (- 3b + 123a b - 504a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (- 20a b + 540a b - 400a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (3b - 66a b + 800a b - 136a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (30a b - 96a b + 504a b )cosh(d x + c) - b + 35a b - 44a b +--R + +--R 6 2 +--R 88a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 6 7 7 3 5 6 +--R - 18a b cosh(d x + c) + (- 26a b - 164a b )cosh(d x + c) +--R + +--R 2 6 4 4 5 +--R (- 36a b - 450a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (24a b + 234a b - 510a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 +--R (6a b + 596a b - 280a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (6a b - 72a b + 612a b - 48a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 7 3 5 +--R (48a b - 90a b + 240a b )cosh(d x + c) - 4a b + 26a b +--R + +--R 5 3 7 +--R - 30a b + 24a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 6 8 7 3 5 7 +--R - 3a b cosh(d x + c) + (- 12a b - 48a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 +--R (- 47a b - 188a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (24a b + 30a b - 288a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 4 +--R (51a b + 252a b - 204a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (- 12a b - 12a b + 344a b - 64a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 2 +--R (3a b - 72a b + 216a b )cosh(d x + c) +--R + +--R 3 5 5 3 7 2 6 4 4 6 2 +--R (30a b - 48a b + 48a b)cosh(d x + c) - 4a b + 8a b - 12a b +--R * +--R sinh(d x + c) +--R + +--R 7 3 5 8 2 6 4 4 7 +--R (- 2a b - 5a b )cosh(d x + c) + (- 12a b - 30a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 6 +--R (6a b - 8a b - 62a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 5 +--R (24a b + 50a b - 52a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 4 +--R (- 6a b + 6a b + 78a b - 24a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 +--R (- 12a b - 26a b + 64a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (2a b + 8a b - 18a b + 24a b)cosh(d x + c) +--R + +--R 4 4 6 2 3 5 5 3 +--R (6a b - 12a b )cosh(d x + c) - a b + 2a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 7 9 +--R - 6a b sinh(d x + c) +--R + +--R 7 8 2 6 8 +--R (- 36a b cosh(d x + c) - 2b - 50a b )sinh(d x + c) +--R + +--R 7 2 8 2 6 7 +--R - 84a b cosh(d x + c) + (- 12b - 264a b )cosh(d x + c) + 4a b +--R + +--R 3 5 +--R - 164a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 7 3 8 2 6 2 +--R - 84a b cosh(d x + c) + (- 26b - 524a b )cosh(d x + c) +--R + +--R 3 5 8 2 6 4 4 +--R - 756a b cosh(d x + c) - 26b + 14a b - 296a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 3 +--R (- 16b - 400a b )cosh(d x + c) +--R + +--R 7 3 5 2 +--R (- 36a b - 1260a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 +--R (- 72b + 36a b - 1152a b )cosh(d x + c) - 84a b + 32a b +--R + +--R 5 3 +--R - 304a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 7 5 8 2 6 4 +--R 84a b cosh(d x + c) + (30b + 120a b )cosh(d x + c) +--R + +--R 7 3 5 3 +--R (- 40a b - 700a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (- 72b - 42a b - 1560a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 +--R (- 228a b + 24a b - 1008a b )cosh(d x + c) - 6b - 126a b +--R + +--R 4 4 6 2 +--R 56a b - 160a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 7 6 8 2 6 5 +--R 84a b cosh(d x + c) + (68b + 440a b )cosh(d x + c) +--R + +--R 7 3 5 4 +--R (60a b + 420a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (- 56b - 184a b - 608a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 228a b - 208a b - 1120a b )cosh(d x + c) +--R + +--R 8 2 6 6 2 7 3 5 +--R (- 12b - 288a b - 480a b )cosh(d x + c) - 12a b - 116a b +--R + +--R 5 3 7 +--R 32a b - 32a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 7 7 8 2 6 6 +--R 36a b cosh(d x + c) + (58b + 316a b )cosh(d x + c) +--R + +--R 7 3 5 5 +--R (144a b + 756a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (- 66b - 150a b + 456a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (- 156a b - 448a b - 352a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (6b - 216a b - 288a b - 480a b )cosh(d x + c) +--R + +--R 7 3 5 7 8 2 6 4 4 +--R (- 24a b - 180a b - 96a b)cosh(d x + c) + 2b + 2a b - 48a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 7 8 8 2 6 7 +--R 6a b cosh(d x + c) + (24b + 96a b )cosh(d x + c) +--R + +--R 7 3 5 6 +--R (100a b + 364a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 5 +--R (- 48b - 12a b + 480a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (- 120a b - 336a b + 144a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 3 +--R (24b - 72a b - 352a b - 160a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (12a b - 36a b - 96a b - 96a b)cosh(d x + c) +--R + +--R 2 6 4 4 7 3 5 +--R (- 12a b - 48a b )cosh(d x + c) + 2a b + 8a b +--R * +--R sinh(d x + c) +--R + +--R 8 2 6 8 7 3 5 7 +--R (4b + 10a b )cosh(d x + c) + (24a b + 60a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 +--R (- 12b + 18a b + 120a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (- 48a b - 88a b + 80a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (12b - 18a b - 120a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (24a b + 28a b - 64a b - 32a b)cosh(d x + c) +--R + +--R 8 2 6 2 +--R (- 4b - 10a b )cosh(d x + c) +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 8 2 6 9 +--R (- b - a b )sinh(d x + c) +--R + +--R 8 2 6 7 3 5 8 +--R ((- 6b - 6a b )cosh(d x + c) - 10a b - 7a b )sinh(d x + c) +--R + +--R 8 2 6 2 7 3 5 +--R (- 15b - 12a b )cosh(d x + c) + (- 54a b - 36a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 +--R 3b - 37a b - 16a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 2 6 3 7 3 5 2 +--R (- 20b - 2a b )cosh(d x + c) + (- 118a b - 52a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 5 3 +--R (12b - 180a b - 66a b )cosh(d x + c) + 8a b - 98a b - 22a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 4 7 3 5 3 +--R (- 15b + 30a b )cosh(d x + c) + (- 128a b + 40a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (18b - 351a b - 36a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (36a b - 390a b - 48a b )cosh(d x + c) - 3b + 21a b - 164a b +--R + +--R 6 2 +--R - 20a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 5 7 3 5 4 +--R (- 6b + 54a b )cosh(d x + c) + (- 60a b + 210a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (12b - 332a b + 226a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (54a b - 636a b + 90a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 7 3 5 +--R (- 6b + 66a b - 570a b - 12a b )cosh(d x + c) - 18a b + 42a b +--R + +--R 5 3 7 +--R - 158a b - 8a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 6 7 3 5 5 +--R (- b + 44a b )cosh(d x + c) + (10a b + 268a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (3b - 123a b + 504a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (20a b - 540a b + 400a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 3b + 66a b - 800a b + 136a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (- 30a b + 96a b - 504a b )cosh(d x + c) + b - 35a b + 44a b +--R + +--R 6 2 +--R - 88a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 6 7 7 3 5 6 +--R 18a b cosh(d x + c) + (26a b + 164a b )cosh(d x + c) +--R + +--R 2 6 4 4 5 +--R (36a b + 450a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (- 24a b - 234a b + 510a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 +--R (- 6a b - 596a b + 280a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 6a b + 72a b - 612a b + 48a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 7 3 5 5 3 +--R (- 48a b + 90a b - 240a b )cosh(d x + c) + 4a b - 26a b + 30a b +--R + +--R 7 +--R - 24a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 6 8 7 3 5 7 +--R 3a b cosh(d x + c) + (12a b + 48a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 +--R (47a b + 188a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (- 24a b - 30a b + 288a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 4 +--R (- 51a b - 252a b + 204a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (12a b + 12a b - 344a b + 64a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 2 +--R (- 3a b + 72a b - 216a b )cosh(d x + c) +--R + +--R 3 5 5 3 7 2 6 4 4 6 2 +--R (- 30a b + 48a b - 48a b)cosh(d x + c) + 4a b - 8a b + 12a b +--R * +--R sinh(d x + c) +--R + +--R 7 3 5 8 2 6 4 4 7 +--R (2a b + 5a b )cosh(d x + c) + (12a b + 30a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 6 +--R (- 6a b + 8a b + 62a b )cosh(d x + c) +--R + +--R 2 6 4 4 6 2 5 +--R (- 24a b - 50a b + 52a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 4 +--R (6a b - 6a b - 78a b + 24a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 +--R (12a b + 26a b - 64a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 2a b - 8a b + 18a b - 24a b)cosh(d x + c) +--R + +--R 4 4 6 2 3 5 5 3 +--R (- 6a b + 12a b )cosh(d x + c) + a b - 2a b +--R / +--R 10 3 8 5 6 9 +--R (2a b + 4a b + 2a b )sinh(d x + c) +--R + +--R 10 3 8 5 6 2 9 4 7 +--R (12a b + 24a b + 12a b )cosh(d x + c) + 18a b + 36a b +--R + +--R 6 5 +--R 18a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (30a b + 60a b + 30a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 10 3 8 +--R (96a b + 192a b + 96a b )cosh(d x + c) - 6a b + 54a b +--R + +--R 5 6 7 4 +--R 126a b + 66a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (40a b + 80a b + 40a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (210a b + 420a b + 210a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 9 +--R (- 24a b + 264a b + 600a b + 312a b )cosh(d x + c) - 42a b +--R + +--R 4 7 6 5 8 3 +--R 42a b + 210a b + 126a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (30a b + 60a b + 30a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (240a b + 480a b + 240a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (- 36a b + 522a b + 1152a b + 594a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 144a b + 240a b + 912a b + 528a b )cosh(d x + c) + 6a b +--R + +--R 3 8 5 6 7 4 9 2 +--R - 102a b - 90a b + 150a b + 132a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (12a b + 24a b + 12a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (150a b + 300a b + 150a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 24a b + 528a b + 1128a b + 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (- 180a b + 510a b + 1560a b + 870a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (12a b - 312a b - 168a b + 648a b + 492a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R 30a b - 90a b - 198a b - 6a b + 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (2a b + 4a b + 2a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 5 +--R (48a b + 96a b + 48a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (- 6a b + 282a b + 582a b + 294a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 3 +--R (- 96a b + 512a b + 1312a b + 704a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (6a b - 336a b + 6a b + 1044a b + 696a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (48a b - 288a b - 480a b + 96a b + 240a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 11 +--R - 2a b + 50a b + 10a b - 122a b - 64a b + 16a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 9 4 7 6 5 6 +--R (6a b + 12a b + 6a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 5 +--R (72a b + 144a b + 72a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (- 18a b + 246a b + 546a b + 282a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 3 +--R (- 144a b + 168a b + 768a b + 456a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (18a b - 288a b - 342a b + 252a b + 288a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 11 +--R (72a b - 72a b - 312a b - 120a b + 48a )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R - 6a b + 30a b + 54a b - 6a b - 24a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 8 5 6 7 4 6 +--R (6a b + 12a b + 6a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 5 +--R (48a b + 96a b + 48a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 4 +--R (- 18a b + 96a b + 246a b + 132a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 3 +--R (- 96a b - 48a b + 192a b + 144a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 11 2 +--R (18a b - 108a b - 222a b - 48a b + 48a )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 3 8 7 4 +--R (48a b + 48a b - 48a b - 48a b)cosh(d x + c) - 6a b + 18a b +--R + +--R 9 2 +--R 12a b +--R * +--R sinh(d x + c) +--R + +--R 4 7 6 5 8 3 6 +--R (2a b + 4a b + 2a b )cosh(d x + c) +--R + +--R 5 6 7 4 9 2 5 +--R (12a b + 24a b + 12a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 4 +--R (- 6a b + 12a b + 42a b + 24a b)cosh(d x + c) +--R + +--R 5 6 7 4 9 2 11 3 +--R (- 24a b - 32a b + 8a b + 16a )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 2 +--R (6a b - 12a b - 42a b - 24a b)cosh(d x + c) +--R + +--R 5 6 7 4 9 2 4 7 6 5 8 3 +--R (12a b + 24a b + 12a b )cosh(d x + c) - 2a b - 4a b - 2a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 11 2 9 4 7 9 +--R (- 4b - 8a b - 4a b )sinh(d x + c) +--R + +--R 11 2 9 4 7 10 3 8 +--R (- 24b - 48a b - 24a b )cosh(d x + c) - 36a b - 72a b +--R + +--R 5 6 +--R - 36a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 2 +--R (- 60b - 120a b - 60a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 11 2 9 +--R (- 192a b - 384a b - 192a b )cosh(d x + c) + 12b - 108a b +--R + +--R 4 7 6 5 +--R - 252a b - 132a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 3 +--R (- 80b - 160a b - 80a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 420a b - 840a b - 420a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 10 +--R (48b - 528a b - 1200a b - 624a b )cosh(d x + c) + 84a b +--R + +--R 3 8 5 6 7 4 +--R - 84a b - 420a b - 252a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 4 +--R (- 60b - 120a b - 60a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (- 480a b - 960a b - 480a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 2 +--R (72b - 1044a b - 2304a b - 1188a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 11 +--R (288a b - 480a b - 1824a b - 1056a b )cosh(d x + c) - 12b +--R + +--R 2 9 4 7 6 5 8 3 +--R 204a b + 180a b - 300a b - 264a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 5 +--R (- 24b - 48a b - 24a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (- 300a b - 600a b - 300a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 3 +--R (48b - 1056a b - 2256a b - 1152a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (360a b - 1020a b - 3120a b - 1740a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (- 24b + 624a b + 336a b - 1296a b - 984a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 60a b + 180a b + 396a b + 12a b - 144a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 6 +--R (- 4b - 8a b - 4a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (- 96a b - 192a b - 96a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 4 +--R (12b - 564a b - 1164a b - 588a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (192a b - 1024a b - 2624a b - 1408a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 2 +--R (- 12b + 672a b - 12a b - 2088a b - 1392a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 96a b + 576a b + 960a b - 192a b - 480a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 10 +--R 4b - 100a b - 20a b + 244a b + 128a b - 32a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (- 12a b - 24a b - 12a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 5 +--R (- 144a b - 288a b - 144a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (36a b - 492a b - 1092a b - 564a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 3 +--R (288a b - 336a b - 1536a b - 912a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (- 36a b + 576a b + 684a b - 504a b - 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 144a b + 144a b + 624a b + 240a b - 96a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R 12a b - 60a b - 108a b + 12a b + 48a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 9 4 7 6 5 6 +--R (- 12a b - 24a b - 12a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 5 +--R (- 96a b - 192a b - 96a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (36a b - 192a b - 492a b - 264a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 3 +--R (192a b + 96a b - 384a b - 288a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (- 36a b + 216a b + 444a b + 96a b - 96a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 9 +--R (- 96a b - 96a b + 96a b + 96a b )cosh(d x + c) + 12a b +--R + +--R 6 5 8 3 +--R - 36a b - 24a b +--R * +--R sinh(d x + c) +--R + +--R 3 8 5 6 7 4 6 +--R (- 4a b - 8a b - 4a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 5 +--R (- 24a b - 48a b - 24a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 4 +--R (12a b - 24a b - 84a b - 48a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 3 +--R (48a b + 64a b - 16a b - 32a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 +--R (- 12a b + 24a b + 84a b + 48a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 3 8 5 6 7 4 +--R (- 24a b - 48a b - 24a b )cosh(d x + c) + 4a b + 8a b + 4a b +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 10 3 8 5 6 9 +--R (- 2a b - 4a b - 2a b )sinh(d x + c) +--R + +--R 10 3 8 5 6 2 9 4 7 6 5 +--R ((- 12a b - 24a b - 12a b )cosh(d x + c) - 18a b - 36a b - 18a b ) +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 30a b - 60a b - 30a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 10 3 8 +--R (- 96a b - 192a b - 96a b )cosh(d x + c) + 6a b - 54a b +--R + +--R 5 6 7 4 +--R - 126a b - 66a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (- 40a b - 80a b - 40a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (- 210a b - 420a b - 210a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 9 +--R (24a b - 264a b - 600a b - 312a b )cosh(d x + c) + 42a b +--R + +--R 4 7 6 5 8 3 +--R - 42a b - 210a b - 126a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (- 30a b - 60a b - 30a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (- 240a b - 480a b - 240a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (36a b - 522a b - 1152a b - 594a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (144a b - 240a b - 912a b - 528a b )cosh(d x + c) - 6a b +--R + +--R 3 8 5 6 7 4 9 2 +--R 102a b + 90a b - 150a b - 132a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (- 12a b - 24a b - 12a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (- 150a b - 300a b - 150a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (24a b - 528a b - 1128a b - 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (180a b - 510a b - 1560a b - 870a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 12a b + 312a b + 168a b - 648a b - 492a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R - 30a b + 90a b + 198a b + 6a b - 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (- 2a b - 4a b - 2a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 5 +--R (- 48a b - 96a b - 48a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (6a b - 282a b - 582a b - 294a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 3 +--R (96a b - 512a b - 1312a b - 704a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (- 6a b + 336a b - 6a b - 1044a b - 696a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 48a b + 288a b + 480a b - 96a b - 240a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 11 +--R 2a b - 50a b - 10a b + 122a b + 64a b - 16a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 9 4 7 6 5 6 +--R (- 6a b - 12a b - 6a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 5 +--R (- 72a b - 144a b - 72a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (18a b - 246a b - 546a b - 282a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 3 +--R (144a b - 168a b - 768a b - 456a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (- 18a b + 288a b + 342a b - 252a b - 288a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 11 2 9 +--R (- 72a b + 72a b + 312a b + 120a b - 48a )cosh(d x + c) + 6a b +--R + +--R 4 7 6 5 8 3 10 +--R - 30a b - 54a b + 6a b + 24a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 8 5 6 7 4 6 +--R (- 6a b - 12a b - 6a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 5 +--R (- 48a b - 96a b - 48a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 4 +--R (18a b - 96a b - 246a b - 132a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 3 +--R (96a b + 48a b - 192a b - 144a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 11 2 +--R (- 18a b + 108a b + 222a b + 48a b - 48a )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 3 8 7 4 +--R (- 48a b - 48a b + 48a b + 48a b)cosh(d x + c) + 6a b - 18a b +--R + +--R 9 2 +--R - 12a b +--R * +--R sinh(d x + c) +--R + +--R 4 7 6 5 8 3 6 +--R (- 2a b - 4a b - 2a b )cosh(d x + c) +--R + +--R 5 6 7 4 9 2 5 +--R (- 12a b - 24a b - 12a b )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 4 +--R (6a b - 12a b - 42a b - 24a b)cosh(d x + c) +--R + +--R 5 6 7 4 9 2 11 3 +--R (24a b + 32a b - 8a b - 16a )cosh(d x + c) +--R + +--R 4 7 6 5 8 3 10 2 +--R (- 6a b + 12a b + 42a b + 24a b)cosh(d x + c) +--R + +--R 5 6 7 4 9 2 4 7 6 5 8 3 +--R (- 12a b - 24a b - 12a b )cosh(d x + c) + 2a b + 4a b + 2a b +--R Type: Expression Integer +--E 85 + +--S 86 of 510 +t0017:= 1/(a+b*sinh(c+d*x))^4 +--R +--R +--R (72) +--R 1 +--R / +--R 4 4 3 3 2 2 2 +--R b sinh(d x + c) + 4a b sinh(d x + c) + 6a b sinh(d x + c) +--R + +--R 3 4 +--R 4a b sinh(d x + c) + a +--R Type: Expression Integer +--E 86 + +--S 87 of 510 +r0017:= -a*(-3*b^2+2*a^2)*atanh((b-a*tanh(1/2*c+1/2*d*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(7/2)/d-1/3*b*cosh(c+d*x)/(a^2+b^2)/d/(a+b*sinh(c+d*x))^3-5/6*a*b*cosh(c+d*x)/(a^2+b^2)^2/d/(a+b*sinh(c+d*x))^2-1/6*b*(11*a^2-4*b^2)*cosh(c+d*x)/(a^2+b^2)^3/d/(a+b*sinh(c+d*x)) +--R +--R +--R (73) +--R 5 3 3 3 2 4 4 2 2 +--R (- 18a b + 12a b )sinh(d x + c) + (- 54a b + 36a b )sinh(d x + c) +--R + +--R 3 3 5 4 2 6 +--R (- 54a b + 36a b)sinh(d x + c) - 18a b + 12a +--R * +--R d x + c +--R a tanh(-------) - b +--R 2 +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 5 2 3 2 +--R (4b - 11a b )cosh(d x + c)sinh(d x + c) +--R + +--R 4 3 2 +--R (3a b - 27a b )cosh(d x + c)sinh(d x + c) +--R + +--R 5 2 3 4 +--R (- 2b - 5a b - 18a b)cosh(d x + c) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 9 2 7 4 5 6 3 3 +--R (6b + 18a b + 18a b + 6a b )d sinh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (18a b + 54a b + 54a b + 18a b )d sinh(d x + c) +--R + +--R 2 7 4 5 6 3 8 +--R (18a b + 54a b + 54a b + 18a b)d sinh(d x + c) +--R + +--R 3 6 5 4 7 2 9 +--R (6a b + 18a b + 18a b + 6a )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 87 + +--S 88 of 510 +a0017:= integrate(t0017,x) +--R +--R +--R (74) +--R 5 3 3 6 +--R (9a b - 6a b )sinh(d x + c) +--R + +--R 5 3 3 2 4 4 2 5 +--R ((54a b - 36a b )cosh(d x + c) + 54a b - 36a b )sinh(d x + c) +--R + +--R 5 3 3 2 +--R (135a b - 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 5 +--R (270a b - 180a b )cosh(d x + c) - 27a b + 126a b - 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 3 3 3 +--R (180a b - 120a b )cosh(d x + c) +--R + +--R 2 4 4 2 2 +--R (540a b - 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 108a b + 504a b - 288a b)cosh(d x + c) - 108a b + 144a b +--R + +--R 6 +--R - 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 3 3 4 +--R (135a b - 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 3 +--R (540a b - 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 162a b + 756a b - 432a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 5 3 3 +--R (- 324a b + 432a b - 144a )cosh(d x + c) + 27a b - 126a b +--R + +--R 5 +--R 72a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 3 3 5 +--R (54a b - 36a b )cosh(d x + c) +--R + +--R 2 4 4 2 4 +--R (270a b - 180a b )cosh(d x + c) +--R + +--R 5 3 3 5 3 +--R (- 108a b + 504a b - 288a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (- 324a b + 432a b - 144a )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (54a b - 252a b + 144a b)cosh(d x + c) + 54a b - 36a b +--R * +--R sinh(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (9a b - 6a b )cosh(d x + c) + (54a b - 36a b )cosh(d x + c) +--R + +--R 5 3 3 5 4 +--R (- 27a b + 126a b - 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 3 +--R (- 108a b + 144a b - 48a )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (27a b - 126a b + 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 +--R (54a b - 36a b )cosh(d x + c) - 9a b + 6a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 +--R (2b + 2a b)sinh(d x + c) + (2b + 2a b)cosh(d x + c) + 2a b +--R + +--R 3 +--R 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R 4 3 2 5 +--R (- 18a b + 12a b )sinh(d x + c) +--R + +--R 4 3 2 2 3 4 4 +--R ((- 90a b + 60a b )cosh(d x + c) - 90a b + 60a b)sinh(d x + c) +--R + +--R 4 3 2 2 +--R (- 180a b + 120a b )cosh(d x + c) +--R + +--R 2 3 4 4 3 2 5 +--R (- 360a b + 240a b)cosh(d x + c) + 48a b - 164a b + 88a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 3 +--R (- 180a b + 120a b )cosh(d x + c) +--R + +--R 2 3 4 2 +--R (- 540a b + 360a b)cosh(d x + c) +--R + +--R 4 3 2 5 5 2 3 4 +--R (144a b - 492a b + 264a )cosh(d x + c) - 24b + 72a b - 204a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 4 +--R (- 90a b + 60a b )cosh(d x + c) +--R + +--R 2 3 4 3 +--R (- 360a b + 240a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 +--R (144a b - 492a b + 264a )cosh(d x + c) +--R + +--R 5 2 3 4 4 3 2 +--R (- 48b + 144a b - 408a b)cosh(d x + c) - 30a b + 120a b +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 18a b + 12a b )cosh(d x + c) + (- 90a b + 60a b)cosh(d x + c) +--R + +--R 4 3 2 5 3 +--R (48a b - 164a b + 88a )cosh(d x + c) +--R + +--R 5 2 3 4 2 +--R (- 24b + 72a b - 204a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 3 +--R (- 30a b + 120a b )cosh(d x + c) + 8b - 22a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 9 2 7 4 5 6 3 6 +--R (6b + 18a b + 18a b + 6a b )d sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (36b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b + 108a b + 108a b + 36a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 2 +--R (90b + 270a b + 270a b + 90a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (180a b + 540a b + 540a b + 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (- 18b + 18a b + 162a b + 198a b + 72a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 3 +--R (120b + 360a b + 360a b + 120a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (360a b + 1080a b + 1080a b + 360a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (- 72b + 72a b + 648a b + 792a b + 288a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (- 72a b - 168a b - 72a b + 72a b + 48a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 4 +--R (90b + 270a b + 270a b + 90a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (360a b + 1080a b + 1080a b + 360a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (- 108b + 108a b + 972a b + 1188a b + 432a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (- 216a b - 504a b - 216a b + 216a b + 144a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (18b - 18a b - 162a b - 198a b - 72a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 5 +--R (36b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (180a b + 540a b + 540a b + 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 3 +--R (- 72b + 72a b + 648a b + 792a b + 288a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 2 +--R (- 216a b - 504a b - 216a b + 216a b + 144a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (36b - 36a b - 324a b - 396a b - 144a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b + 108a b + 108a b + 36a b )d +--R * +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 6 +--R (6b + 18a b + 18a b + 6a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (36a b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (- 18b + 18a b + 162a b + 198a b + 72a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (- 72a b - 168a b - 72a b + 72a b + 48a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (18b - 18a b - 162a b - 198a b - 72a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (- 6b - 18a b - 18a b - 6a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 510 +m0017:= a0017-r0017 +--R +--R +--R (75) +--R 8 3 6 9 +--R (9a b - 6a b )sinh(d x + c) +--R + +--R 8 3 6 2 7 4 5 8 +--R ((54a b - 36a b )cosh(d x + c) + 81a b - 54a b )sinh(d x + c) +--R + +--R 8 3 6 2 +--R (135a b - 90a b )cosh(d x + c) +--R + +--R 2 7 4 5 8 3 6 5 4 +--R (432a b - 288a b )cosh(d x + c) - 27a b + 315a b - 198a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 3 6 3 +--R (180a b - 120a b )cosh(d x + c) +--R + +--R 2 7 4 5 2 +--R (945a b - 630a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 2 7 4 5 +--R (- 108a b + 1476a b - 936a b )cosh(d x + c) - 189a b + 693a b +--R + +--R 6 3 +--R - 378a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (135a b - 90a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (1080a b - 720a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 2 +--R (- 162a b + 2781a b - 1782a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 3 6 +--R (- 648a b + 2808a b - 1584a b )cosh(d x + c) + 27a b - 531a b +--R + +--R 5 4 7 2 +--R 936a b - 396a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (54a b - 36a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (675a b - 450a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (- 108a b + 2664a b - 1728a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (- 810a b + 4455a b - 2610a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 7 +--R (54a b - 1548a b + 3222a b - 1476a b )cosh(d x + c) + 135a b +--R + +--R 4 5 6 3 8 +--R - 765a b + 774a b - 216a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 2 7 4 5 5 +--R (9a b - 6a b )cosh(d x + c) + (216a b - 144a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (- 27a b + 1341a b - 882a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (- 432a b + 3456a b - 2112a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (27a b - 1584a b + 4176a b - 2088a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 8 +--R (216a b - 1872a b + 2232a b - 720a b)cosh(d x + c) - 9a b +--R + +--R 3 6 5 4 7 2 9 +--R 249a b - 594a b + 360a b - 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 7 4 5 6 +--R (27a b - 18a b )cosh(d x + c) +--R + +--R 3 6 5 4 5 +--R (324a b - 216a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (- 81a b + 1323a b - 846a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 3 +--R (- 648a b + 2484a b - 1368a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (81a b - 1512a b + 2268a b - 864a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 7 +--R (324a b - 1188a b + 864a b - 144a )cosh(d x + c) - 27a b +--R + +--R 4 5 6 3 8 +--R 207a b - 234a b + 72a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 6 5 4 6 +--R (27a b - 18a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 +--R (216a b - 144a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 +--R (- 81a b + 648a b - 396a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 3 +--R (- 432a b + 936a b - 432a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (81a b - 702a b + 648a b - 144a )cosh(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 +--R (216a b - 360a b + 144a b)cosh(d x + c) - 27a b + 72a b +--R + +--R 7 2 +--R - 36a b +--R * +--R sinh(d x + c) +--R + +--R 4 5 6 3 6 5 4 7 2 5 +--R (9a b - 6a b )cosh(d x + c) + (54a b - 36a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 4 +--R (- 27a b + 126a b - 72a b)cosh(d x + c) +--R + +--R 5 4 7 2 9 3 +--R (- 108a b + 144a b - 48a )cosh(d x + c) +--R + +--R 4 5 6 3 8 2 +--R (27a b - 126a b + 72a b)cosh(d x + c) +--R + +--R 5 4 7 2 4 5 6 3 +--R (54a b - 36a b )cosh(d x + c) - 9a b + 6a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 +--R (2b + 2a b)sinh(d x + c) + (2b + 2a b)cosh(d x + c) + 2a b +--R + +--R 3 +--R 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) - b +--R + +--R 8 3 6 9 +--R (18a b - 12a b )sinh(d x + c) +--R + +--R 8 3 6 2 7 4 5 8 +--R ((108a b - 72a b )cosh(d x + c) + 162a b - 108a b )sinh(d x + c) +--R + +--R 8 3 6 2 +--R (270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 8 3 6 5 4 +--R (864a b - 576a b )cosh(d x + c) - 54a b + 630a b - 396a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 3 6 3 +--R (360a b - 240a b )cosh(d x + c) +--R + +--R 2 7 4 5 2 +--R (1890a b - 1260a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 2 7 +--R (- 216a b + 2952a b - 1872a b )cosh(d x + c) - 378a b +--R + +--R 4 5 6 3 +--R 1386a b - 756a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (2160a b - 1440a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 2 +--R (- 324a b + 5562a b - 3564a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 +--R (- 1296a b + 5616a b - 3168a b )cosh(d x + c) + 54a b +--R + +--R 3 6 5 4 7 2 +--R - 1062a b + 1872a b - 792a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (1350a b - 900a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (- 216a b + 5328a b - 3456a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (- 1620a b + 8910a b - 5220a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 7 +--R (108a b - 3096a b + 6444a b - 2952a b )cosh(d x + c) + 270a b +--R + +--R 4 5 6 3 8 +--R - 1530a b + 1548a b - 432a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 +--R (18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 5 +--R (432a b - 288a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (- 54a b + 2682a b - 1764a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (- 864a b + 6912a b - 4224a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (54a b - 3168a b + 8352a b - 4176a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 8 +--R (432a b - 3744a b + 4464a b - 1440a b)cosh(d x + c) - 18a b +--R + +--R 3 6 5 4 7 2 9 +--R 498a b - 1188a b + 720a b - 96a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 7 4 5 6 +--R (54a b - 36a b )cosh(d x + c) +--R + +--R 3 6 5 4 5 +--R (648a b - 432a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (- 162a b + 2646a b - 1692a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 3 +--R (- 1296a b + 4968a b - 2736a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (162a b - 3024a b + 4536a b - 1728a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 7 +--R (648a b - 2376a b + 1728a b - 288a )cosh(d x + c) - 54a b +--R + +--R 4 5 6 3 8 +--R 414a b - 468a b + 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 6 5 4 6 +--R (54a b - 36a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 +--R (432a b - 288a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 +--R (- 162a b + 1296a b - 792a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 3 +--R (- 864a b + 1872a b - 864a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (162a b - 1404a b + 1296a b - 288a )cosh(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 +--R (432a b - 720a b + 288a b)cosh(d x + c) - 54a b + 144a b +--R + +--R 7 2 +--R - 72a b +--R * +--R sinh(d x + c) +--R + +--R 4 5 6 3 6 5 4 7 2 5 +--R (18a b - 12a b )cosh(d x + c) + (108a b - 72a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 4 +--R (- 54a b + 252a b - 144a b)cosh(d x + c) +--R + +--R 5 4 7 2 9 3 +--R (- 216a b + 288a b - 96a )cosh(d x + c) +--R + +--R 4 5 6 3 8 2 +--R (54a b - 252a b + 144a b)cosh(d x + c) +--R + +--R 5 4 7 2 4 5 6 3 +--R (108a b - 72a b )cosh(d x + c) - 18a b + 12a b +--R * +--R d x + c +--R a tanh(-------) - b +--R 2 +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 8 2 6 7 3 5 8 +--R ((- 4b + 11a b )cosh(d x + c) - 18a b + 12a b )sinh(d x + c) +--R + +--R 8 2 6 2 +--R (- 24b + 66a b )cosh(d x + c) +--R + +--R 7 3 5 2 6 4 4 +--R (- 117a b + 153a b )cosh(d x + c) - 144a b + 96a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 2 6 3 +--R (- 60b + 165a b )cosh(d x + c) +--R + +--R 7 3 5 2 +--R (- 318a b + 612a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 +--R (14b - 724a b + 732a b )cosh(d x + c) + 48a b - 488a b +--R + +--R 5 3 +--R 304a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 4 +--R (- 80b + 220a b )cosh(d x + c) +--R + +--R 7 3 5 3 +--R (- 465a b + 1185a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (60b - 1464a b + 2166a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 +--R (213a b - 2093a b + 1684a b )cosh(d x + c) - 24b + 216a b +--R + +--R 4 4 6 2 +--R - 984a b + 456a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 5 +--R (- 60b + 165a b )cosh(d x + c) +--R + +--R 7 3 5 4 +--R (- 390a b + 1260a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (102b - 1491a b + 3282a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (384a b - 3462a b + 3804a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 7 +--R (- 66b + 702a b - 3528a b + 2004a b )cosh(d x + c) - 102a b +--R + +--R 3 5 5 3 7 +--R 480a b - 1194a b + 324a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 6 +--R (- 24b + 66a b )cosh(d x + c) +--R + +--R 7 3 5 5 +--R (- 183a b + 747a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (88b - 764a b + 2748a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (366a b - 2678a b + 4456a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 72b + 810a b - 4764a b + 3504a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 8 +--R (- 231a b + 1123a b - 3560a b + 1176a b)cosh(d x + c) + 8b +--R + +--R 2 6 4 4 6 2 8 +--R - 184a b + 624a b - 776a b + 88a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 2 6 7 +--R (- 4b + 11a b )cosh(d x + c) +--R + +--R 7 3 5 6 +--R (- 42a b + 228a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 5 +--R (42b - 150a b + 1248a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (204a b - 872a b + 2824a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 3 +--R (- 48b + 387a b - 2892a b + 3048a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 186a b + 816a b - 3804a b + 1584a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 +--R (10b - 272a b + 1092a b - 1932a b + 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 +--R 24a b - 180a b + 432a b - 204a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 7 3 5 7 +--R (- 3a b + 27a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 +--R (12b + 12a b + 270a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (69a b - 21a b + 900a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 4 +--R (- 24b + 72a b - 684a b + 1320a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (- 81a b + 129a b - 1704a b + 936a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (12b - 108a b + 510a b - 1536a b + 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 6 +--R (15a b - 135a b + 612a b - 408a b)cosh(d x + c) + 24a b +--R + +--R 4 4 6 2 +--R - 96a b + 120a b +--R * +--R sinh(d x + c) +--R + +--R 8 2 6 4 4 7 +--R (2b + 5a b + 18a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 6 +--R (12a b + 30a b + 108a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 5 +--R (- 6b + 9a b - 12a b + 228a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 4 +--R (- 24a b - 44a b - 266a b + 204a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (6b - 9a b + 42a b - 380a b + 88a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (12a b + 6a b + 180a b - 204a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 3 5 5 3 +--R (- 2b - 5a b - 48a b + 120a b )cosh(d x + c) + 8a b - 22a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 12 2 10 4 8 6 6 9 +--R (6b + 18a b + 18a b + 6a b )d sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 +--R (36b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 +--R (54a b + 162a b + 162a b + 54a b )d +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 2 +--R (90b + 270a b + 270a b + 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 +--R (288a b + 864a b + 864a b + 288a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 18b + 144a b + 540a b + 576a b + 198a b )d +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 3 +--R (120b + 360a b + 360a b + 120a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (630a b + 1890a b + 1890a b + 630a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 72b + 720a b + 2592a b + 2736a b + 936a b )d cosh(d x + c) +--R + +--R 11 5 7 7 5 9 3 +--R (- 126a b + 756a b + 1008a b + 378a b )d +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (90b + 270a b + 270a b + 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (720a b + 2160a b + 2160a b + 720a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 108b + 1458a b + 5022a b + 5238a b + 1782a b )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 432a b + 288a b + 3456a b + 4320a b + 1584a b )d +--R * +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b - 288a b - 576a b + 180a b + 846a b + 396a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 5 +--R (36b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (450a b + 1350a b + 1350a b + 450a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 72b + 1512a b + 4968a b + 5112a b + 1728a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 540a b + 990a b + 6210a b + 7290a b + 2610a b )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (36b - 900a b - 1440a b + 1440a b + 3420a b + 1476a b )d +--R * +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (90a b - 180a b - 864a b - 612a b + 198a b + 216a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 6 +--R (6b + 18a b + 18a b + 6a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 5 +--R (144a b + 432a b + 432a b + 144a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 18b + 828a b + 2592a b + 2628a b + 882a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 288a b + 1248a b + 5472a b + 6048a b + 2112a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b - 990a b - 990a b + 3150a b + 5220a b + 2088a b )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (144a b - 720a b - 2304a b - 1152a b + 1008a b + 720a b)d +--R * +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 12 +--R (- 6b + 144a b + 180a b - 336a b - 558a b - 144a b + 48a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 11 3 9 5 7 7 5 6 +--R (18a b + 54a b + 54a b + 18a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 5 +--R (216a b + 648a b + 648a b + 216a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 54a b + 684a b + 2376a b + 2484a b + 846a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 432a b + 72a b + 2808a b + 3672a b + 1368a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (54a b - 810a b - 1890a b - 270a b + 1620a b + 864a b)d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 10 6 6 8 4 10 2 12 +--R (216a b - 1152a b - 1296a b - 216a b + 144a )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (- 18a b + 72a b + 252a b + 144a b - 90a b - 72a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 6 +--R (18a b + 54a b + 54a b + 18a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 5 +--R (144a b + 432a b + 432a b + 144a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 54a b + 234a b + 1026a b + 1134a b + 396a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (- 288a b - 432a b + 432a b + 1008a b + 432a b)d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 12 2 +--R (54a b - 270a b - 990a b - 810a b + 144a )d cosh(d x + c) +--R + +--R 3 9 5 7 9 3 11 +--R (144a b + 288a b - 288a b - 144a b)d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 18a b - 18a b + 54a b + 90a b + 36a b )d +--R * +--R sinh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 6 +--R (6a b + 18a b + 18a b + 6a b )d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 5 +--R (36a b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 4 +--R (- 18a b + 18a b + 162a b + 198a b + 72a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 12 3 +--R (- 72a b - 168a b - 72a b + 72a b + 48a )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 2 +--R (18a b - 18a b - 162a b - 198a b - 72a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 +--R (36a b + 108a b + 108a b + 36a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (- 6a b - 18a b - 18a b - 6a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 89 + +--S 90 of 510 +d0017:= D(m0017,x) +--R +--R +--R (76) +--R 10 3 8 12 +--R (5a b + 5a b )sinh(d x + c) +--R + +--R 10 3 8 2 9 4 7 11 +--R ((40a b + 40a b )cosh(d x + c) + 69a b + 54a b )sinh(d x + c) +--R + +--R 10 3 8 2 +--R (144a b + 129a b )cosh(d x + c) +--R + +--R 2 9 4 7 10 3 8 5 6 +--R (512a b + 392a b )cosh(d x + c) - 18a b + 388a b + 241a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 10 3 8 3 +--R (312a b + 192a b )cosh(d x + c) +--R + +--R 2 9 4 7 2 +--R (1682a b + 1112a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 9 +--R (- 104a b + 2672a b + 1576a b )cosh(d x + c) - 218a b +--R + +--R 4 7 6 5 +--R 1169a b + 562a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 3 8 4 +--R (462a b + 42a b )cosh(d x + c) +--R + +--R 2 9 4 7 3 +--R (3232a b + 1312a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 266a b + 8046a b + 3857a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 10 +--R (- 1168a b + 7504a b + 3272a b )cosh(d x + c) + 118a b +--R + +--R 3 8 5 6 7 4 +--R - 778a b + 2365a b + 786a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 3 8 5 +--R (504a b - 336a b )cosh(d x + c) +--R + +--R 2 9 4 7 4 +--R (4046a b - 364a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (- 432a b + 13840a b + 3232a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (- 2684a b + 20884a b + 6648a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 +--R (456a b - 4112a b + 13688a b + 3856a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 +--R 622a b - 1592a b + 3440a b + 704a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 10 3 8 6 +--R (420a b - 630a b )cosh(d x + c) +--R + +--R 2 9 4 7 5 +--R (3472a b - 3248a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (- 568a b + 14800a b - 3742a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (- 3616a b + 32608a b + 2624a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (684a b - 9078a b + 34420a b + 5752a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 +--R (2304a b - 7840a b + 17728a b + 2672a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 8a b + 1564a b - 2302a b + 3440a b + 384a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 7 +--R (264a b - 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 +--R (2072a b - 4648a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (- 664a b + 9840a b - 12176a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (- 3488a b + 30446a b - 11636a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (584a b - 10832a b + 48520a b - 2224a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (3336a b - 15844a b + 39504a b + 1984a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (8a b + 5312a b - 9848a b + 16144a b + 1056a b ) +--R * +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R - 96a b + 2414a b - 2276a b + 2240a b + 96a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 10 3 8 8 +--R (117a b - 303a b )cosh(d x + c) +--R + +--R 2 9 4 7 7 +--R (832a b - 3488a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (- 624a b + 3572a b - 13654a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 5 +--R (- 2848a b + 16064a b - 23088a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (510a b - 7630a b + 40550a b - 17460a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 3 +--R (2672a b - 16144a b + 49488a b - 5616a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 +--R (6876a b - 17002a b + 32000a b - 192a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 80a b + 7216a b - 8416a b + 9680a b + 192a b) +--R * +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 3a b - 355a b + 2266a b - 1420a b + 912a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 10 3 8 9 +--R (32a b - 88a b )cosh(d x + c) +--R + +--R 2 9 4 7 8 +--R (197a b - 1498a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 +--R (- 416a b + 176a b - 8288a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 6 +--R (- 1988a b + 3044a b - 20168a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (528a b - 3408a b + 18760a b - 23504a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (1854a b - 7648a b + 37264a b - 13504a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 128a b + 4336a b - 14224a b + 34784a b - 3648a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 68a b + 7612a b - 12312a b + 16896a b - 192a b) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 16a b - 440a b + 5864a b - 4656a b + 3456a b ) +--R * +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R 5a b - 550a b + 1152a b - 576a b + 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 10 3 8 10 +--R (4a b - 11a b )cosh(d x + c) +--R + +--R 2 9 4 7 9 +--R (16a b - 344a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 8 +--R (- 182a b - 420a b - 2803a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 7 +--R (- 1024a b - 1376a b - 9472a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 6 +--R (376a b - 1162a b + 3108a b - 15304a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 5 +--R (1392a b - 352a b + 16224a b - 12272a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 220a b + 1652a b - 4754a b + 22192a b - 4992a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 352a b + 2944a b - 8768a b + 15008a b - 768a b) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (20a b - 99a b + 4900a b - 5880a b + 4896a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 32a b - 680a b + 2592a b - 1584a b + 576a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R 2a b + 40a b - 355a b + 288a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 9 4 7 10 +--R (- 2a b - 32a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 9 +--R (- 48a b - 160a b - 472a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 +--R (- 326a b - 887a b - 2286a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 7 +--R (144a b - 368a b - 840a b - 5008a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 6 +--R (700a b + 988a b + 3376a b - 5312a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 144a b + 624a b + 584a b + 7952a b - 2784a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 412a b - 106a b - 2884a b + 6848a b - 672a b) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 3 +--R (48a b - 80a b + 1128a b - 3472a b + 3072a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (38a b - 4a b + 1872a b - 1440a b + 576a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 9 +--R (- 16a b - 400a b + 528a b - 288a b )cosh(d x + c) + 2a b +--R + +--R 4 7 6 5 8 3 +--R 41a b - 78a b + 48a b +--R * +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 10 +--R (- 6a b - 18a b - 27a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 9 +--R (- 48a b - 144a b - 216a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 8 +--R (24a b - 72a b - 315a b - 654a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 7 +--R (144a b + 240a b + 144a b - 912a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 6 +--R (- 36a b + 180a b + 570a b + 1248a b - 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 5 +--R (- 144a b - 240a b - 288a b + 1296a b - 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 4 +--R (24a b - 72a b - 174a b - 828a b + 720a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 3 +--R (48a b + 144a b + 432a b - 432a b + 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (- 6a b - 18a b - 63a b + 240a b - 144a b )cosh(d x + c) +--R + +--R 6 5 8 3 5 6 7 4 +--R (- 72a b + 48a b )cosh(d x + c) + 9a b - 6a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 11 2 9 12 +--R (8b - 22a b )sinh(d x + c) +--R + +--R 11 2 9 10 3 8 11 +--R ((64b - 176a b )cosh(d x + c) + 78a b - 252a b )sinh(d x + c) +--R + +--R 11 2 9 2 +--R (216b - 594a b )cosh(d x + c) +--R + +--R 10 3 8 11 2 9 4 7 +--R (560a b - 1840a b )cosh(d x + c) - 36b + 388a b - 1226a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 11 2 9 3 +--R (384b - 1056a b )cosh(d x + c) +--R + +--R 10 3 8 2 +--R (1676a b - 5584a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 10 +--R (- 224b + 2432a b - 8144a b )cosh(d x + c) - 284a b +--R + +--R 3 8 5 6 +--R 1382a b - 3284a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 11 2 9 4 +--R (336b - 924a b )cosh(d x + c) +--R + +--R 10 3 8 3 +--R (2608a b - 8672a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 2 +--R (- 548b + 6228a b - 22114a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 11 +--R (- 1552a b + 7456a b - 19792a b )cosh(d x + c) - 128b +--R + +--R 2 9 4 7 6 5 +--R - 1540a b + 3064a b - 5424a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 3 8 4 +--R (1988a b - 5992a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 3 +--R (- 576b + 8128a b - 29696a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 3272a b + 15832a b - 47856a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 +--R (- 480b - 6752a b + 14816a b - 29312a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 +--R - 380a b - 4304a b + 4208a b - 5728a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 11 2 9 6 +--R (- 336b + 924a b )cosh(d x + c) +--R + +--R 10 3 8 5 +--R (112a b + 1792a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 4 +--R (56b + 5320a b - 15316a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (- 2848a b + 16096a b - 54976a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 2 +--R (- 720b - 11220a b + 26704a b - 62336a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 +--R (- 1584a b - 16576a b + 17968a b - 27520a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R - 56b - 272a b - 6556a b + 3776a b - 3744a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 11 2 9 7 +--R (- 384b + 1056a b )cosh(d x + c) +--R + +--R 10 3 8 6 +--R (- 1120a b + 7280a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 5 +--R (896b + 1344a b + 10528a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (496a b + 7508a b - 19448a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 3 +--R (- 736b - 8000a b + 19744a b - 60352a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (- 2784a b - 23608a b + 26544a b - 50912a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (- 160b - 1888a b - 22784a b + 13216a b - 16128a b ) +--R * +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 240a b + 212a b - 5960a b + 2144a b - 1344a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 11 2 9 8 +--R (- 216b + 594a b )cosh(d x + c) +--R + +--R 10 3 8 7 +--R (- 944a b + 6496a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 +--R (1176b + 392a b + 22316a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (3536a b + 2432a b + 24096a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 4 +--R (- 912b - 796a b + 1664a b - 13152a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 3184a b - 15232a b + 10512a b - 41280a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (- 72b - 4200a b - 28708a b + 13472a b - 26208a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 560a b - 992a b - 18160a b + 5696a b - 5376a b ) +--R * +--R cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 10 +--R 24b - 310a b + 568a b - 3280a b + 576a b - 192a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 11 2 9 9 +--R (- 64b + 176a b )cosh(d x + c) +--R + +--R 10 3 8 8 +--R (- 322a b + 2948a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 7 +--R (832b + 1088a b + 15616a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (3688a b + 3896a b + 33808a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 5 +--R (- 1056b + 2496a b - 3680a b + 26368a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (- 3276a b - 5728a b - 11312a b - 5920a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (256b - 4352a b - 16192a b - 3136a b - 18432a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 152a b - 2936a b - 18864a b + 2496a b - 8064a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 10 +--R (32b - 560a b + 32a b - 8256a b + 1152a b - 768a b) +--R * +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 +--R 62a b - 100a b + 624a b - 864a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 11 2 9 10 +--R (- 8b + 22a b )cosh(d x + c) +--R + +--R 10 3 8 9 +--R (- 32a b + 688a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 8 +--R (364b + 948a b + 5534a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 +--R (2048a b + 4192a b + 17984a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 6 +--R (- 752b + 1892a b + 1200a b + 25856a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (- 2784a b - 3616a b - 12720a b + 13312a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (440b - 2656a b - 5828a b - 14720a b - 3168a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (704a b - 1568a b - 6944a b - 5248a b - 5376a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 10 +--R (- 40b - 234a b - 1088a b - 5952a b - 1152a b) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 11 +--R (64a b - 80a b + 528a b - 1728a b )cosh(d x + c) - 4b +--R + +--R 2 9 4 7 6 5 +--R 28a b - 10a b + 288a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 10 3 8 10 +--R (4a b + 64a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 9 +--R (96b + 320a b + 944a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 8 +--R (652a b + 1846a b + 4524a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 7 +--R (- 288b + 736a b + 2400a b + 9536a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 6 +--R (- 1400a b - 2264a b - 3824a b + 8800a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 +--R (288b - 1248a b - 3328a b - 9568a b + 2304a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (824a b + 644a b - 136a b - 5920a b - 1344a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 10 +--R (- 96b + 160a b - 96a b - 256a b - 1152a b - 768a b) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (- 76a b - 280a b - 528a b - 864a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 10 3 8 5 6 +--R (32a b + 80a b + 288a b )cosh(d x + c) - 4a b - 10a b - 36a b +--R * +--R sinh(d x + c) +--R + +--R 11 2 9 4 7 10 +--R (12b + 36a b + 54a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 9 +--R (96a b + 288a b + 432a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 +--R (- 48b + 144a b + 648a b + 1296a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 7 +--R (- 288a b - 480a b - 144a b + 1728a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 6 +--R (72b - 360a b - 1212a b - 2016a b + 864a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (288a b + 480a b + 144a b - 1728a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 10 +--R (- 48b + 144a b + 456a b + 720a b - 576a b - 192a b) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (- 96a b - 288a b - 432a b )cosh(d x + c) +--R + +--R 11 2 9 4 7 2 +--R (12b + 36a b + 54a b )cosh(d x + c) +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 10 3 8 12 +--R (- 5a b - 5a b )sinh(d x + c) +--R + +--R 10 3 8 2 9 4 7 11 +--R ((- 40a b - 40a b )cosh(d x + c) - 69a b - 54a b )sinh(d x + c) +--R + +--R 10 3 8 2 +--R (- 144a b - 129a b )cosh(d x + c) +--R + +--R 2 9 4 7 10 3 8 5 6 +--R (- 512a b - 392a b )cosh(d x + c) + 18a b - 388a b - 241a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 10 3 8 3 +--R (- 312a b - 192a b )cosh(d x + c) +--R + +--R 2 9 4 7 2 +--R (- 1682a b - 1112a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 9 4 7 +--R (104a b - 2672a b - 1576a b )cosh(d x + c) + 218a b - 1169a b +--R + +--R 6 5 +--R - 562a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 3 8 4 +--R (- 462a b - 42a b )cosh(d x + c) +--R + +--R 2 9 4 7 3 +--R (- 3232a b - 1312a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (266a b - 8046a b - 3857a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 10 3 8 +--R (1168a b - 7504a b - 3272a b )cosh(d x + c) - 118a b + 778a b +--R + +--R 5 6 7 4 +--R - 2365a b - 786a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 3 8 5 +--R (- 504a b + 336a b )cosh(d x + c) +--R + +--R 2 9 4 7 4 +--R (- 4046a b + 364a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (432a b - 13840a b - 3232a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (2684a b - 20884a b - 6648a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 9 +--R (- 456a b + 4112a b - 13688a b - 3856a b )cosh(d x + c) - 622a b +--R + +--R 4 7 6 5 8 3 +--R 1592a b - 3440a b - 704a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 10 3 8 6 +--R (- 420a b + 630a b )cosh(d x + c) +--R + +--R 2 9 4 7 5 +--R (- 3472a b + 3248a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (568a b - 14800a b + 3742a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (3616a b - 32608a b - 2624a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (- 684a b + 9078a b - 34420a b - 5752a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (- 2304a b + 7840a b - 17728a b - 2672a b )cosh(d x + c) + 8a b +--R + +--R 3 8 5 6 7 4 9 2 +--R - 1564a b + 2302a b - 3440a b - 384a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 7 +--R (- 264a b + 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 +--R (- 2072a b + 4648a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (664a b - 9840a b + 12176a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (3488a b - 30446a b + 11636a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 584a b + 10832a b - 48520a b + 2224a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (- 3336a b + 15844a b - 39504a b - 1984a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 8a b - 5312a b + 9848a b - 16144a b - 1056a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R 96a b - 2414a b + 2276a b - 2240a b - 96a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 10 3 8 8 +--R (- 117a b + 303a b )cosh(d x + c) +--R + +--R 2 9 4 7 7 +--R (- 832a b + 3488a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (624a b - 3572a b + 13654a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 5 +--R (2848a b - 16064a b + 23088a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (- 510a b + 7630a b - 40550a b + 17460a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 3 +--R (- 2672a b + 16144a b - 49488a b + 5616a b )cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 +--R (- 6876a b + 17002a b - 32000a b + 192a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (80a b - 7216a b + 8416a b - 9680a b - 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R 3a b + 355a b - 2266a b + 1420a b - 912a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 10 3 8 9 +--R (- 32a b + 88a b )cosh(d x + c) +--R + +--R 2 9 4 7 8 +--R (- 197a b + 1498a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 +--R (416a b - 176a b + 8288a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 6 +--R (1988a b - 3044a b + 20168a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (- 528a b + 3408a b - 18760a b + 23504a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (- 1854a b + 7648a b - 37264a b + 13504a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (128a b - 4336a b + 14224a b - 34784a b + 3648a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (68a b - 7612a b + 12312a b - 16896a b + 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (16a b + 440a b - 5864a b + 4656a b - 3456a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R - 5a b + 550a b - 1152a b + 576a b - 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 10 3 8 10 +--R (- 4a b + 11a b )cosh(d x + c) +--R + +--R 2 9 4 7 9 +--R (- 16a b + 344a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 8 +--R (182a b + 420a b + 2803a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 7 +--R (1024a b + 1376a b + 9472a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 6 +--R (- 376a b + 1162a b - 3108a b + 15304a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 5 +--R (- 1392a b + 352a b - 16224a b + 12272a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 4 +--R (220a b - 1652a b + 4754a b - 22192a b + 4992a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 3 +--R (352a b - 2944a b + 8768a b - 15008a b + 768a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (- 20a b + 99a b - 4900a b + 5880a b - 4896a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (32a b + 680a b - 2592a b + 1584a b - 576a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 2a b - 40a b + 355a b - 288a b + 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 9 4 7 10 +--R (2a b + 32a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 9 +--R (48a b + 160a b + 472a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 +--R (326a b + 887a b + 2286a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 7 +--R (- 144a b + 368a b + 840a b + 5008a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 6 +--R (- 700a b - 988a b - 3376a b + 5312a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 5 +--R (144a b - 624a b - 584a b - 7952a b + 2784a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 4 +--R (412a b + 106a b + 2884a b - 6848a b + 672a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 3 +--R (- 48a b + 80a b - 1128a b + 3472a b - 3072a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 2 +--R (- 38a b + 4a b - 1872a b + 1440a b - 576a b)cosh(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 2 9 4 7 +--R (16a b + 400a b - 528a b + 288a b )cosh(d x + c) - 2a b - 41a b +--R + +--R 6 5 8 3 +--R 78a b - 48a b +--R * +--R sinh(d x + c) +--R + +--R 10 3 8 5 6 10 +--R (6a b + 18a b + 27a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 9 +--R (48a b + 144a b + 216a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 8 +--R (- 24a b + 72a b + 315a b + 654a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 7 +--R (- 144a b - 240a b - 144a b + 912a b )cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 6 +--R (36a b - 180a b - 570a b - 1248a b + 576a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 5 +--R (144a b + 240a b + 288a b - 1296a b + 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 4 +--R (- 24a b + 72a b + 174a b + 828a b - 720a b )cosh(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 3 +--R (- 48a b - 144a b - 432a b + 432a b - 192a b)cosh(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 +--R (6a b + 18a b + 63a b - 240a b + 144a b )cosh(d x + c) +--R + +--R 6 5 8 3 5 6 7 4 +--R (72a b - 48a b )cosh(d x + c) - 9a b + 6a b +--R / +--R 14 3 12 5 10 7 8 12 +--R (6a b + 18a b + 18a b + 6a b )sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 2 13 +--R (48a b + 144a b + 144a b + 48a b )cosh(d x + c) + 72a b +--R + +--R 4 11 6 9 8 7 +--R 216a b + 216a b + 72a b +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 2 +--R (168a b + 504a b + 504a b + 168a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 +--R (528a b + 1584a b + 1584a b + 528a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 24a b + 300a b + 1044a b + 1092a b + 372a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 3 +--R (336a b + 1008a b + 1008a b + 336a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 2 +--R (1680a b + 5040a b + 5040a b + 1680a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 144a b + 2064a b + 7056a b + 7344a b + 2496a b ) +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 240a b + 360a b + 2520a b + 3000a b + 1080a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 4 +--R (420a b + 1260a b + 1260a b + 420a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (3024a b + 9072a b + 9072a b + 3024a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 360a b + 6120a b + 20520a b + 21240a b + 7200a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 1296a b + 2736a b + 15984a b + 18576a b + 6624a b ) +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R 36a b - 900a b - 990a b + 2790a b + 4770a b + 1926a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (336a b + 1008a b + 1008a b + 336a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (3360a b + 10080a b + 10080a b + 3360a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 480a b + 10176a b + 33408a b + 34368a b + 11616a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 2880a b + 8640a b + 43200a b + 48960a b + 17280a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 144a b - 4464a b - 3456a b + 17856a b + 27504a b +--R + +--R 11 4 +--R 10800a b +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R 288a b - 1440a b - 3888a b - 144a b + 4176a b + 2160a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 6 +--R (168a b + 504a b + 504a b + 168a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (2352a b + 7056a b + 7056a b + 2352a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 360a b + 10320a b + 33120a b + 33840a b + 11400a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 3360a b + 14784a b + 64512a b + 71232a b + 24864a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 216a b - 9000a b - 2880a b + 47520a b + 66600a b +--R + +--R 11 4 +--R 25416a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 1008a b - 7056a b - 16128a b + 4032a b + 23184a b +--R + +--R 12 3 +--R 11088a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 24a b + 864a b - 360a b - 5016a b - 3888a b + 1368a b +--R + +--R 13 2 +--R 1488a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 7 +--R (48a b + 144a b + 144a b + 48a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 6 +--R (1008a b + 3024a b + 3024a b + 1008a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 144a b + 6480a b + 20304a b + 20592a b + 6912a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 2160a b + 14880a b + 57600a b + 61920a b + 21360a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 144a b - 9360a b + 3456a b + 67968a b + 87408a b +--R + +--R 11 4 +--R 32400a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 1296a b - 13680a b - 25344a b + 19008a b + 52848a b +--R + +--R 12 3 +--R 23472a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 48a b + 2736a b - 3744a b - 21120a b - 12816a b +--R + +--R 11 4 13 2 +--R 8784a b + 7008a b +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 144a b + 1152a b + 1872a b - 2160a b - 4032a b +--R + +--R 12 3 14 +--R - 720a b + 576a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 8 +--R (6a b + 18a b + 18a b + 6a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (240a b + 720a b + 720a b + 240a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 24a b + 2424a b + 7416a b + 7464a b + 2496a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 720a b + 8880a b + 30960a b + 32400a b + 11040a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 36a b - 5220a b + 8160a b + 56160a b + 66780a b +--R + +--R 11 4 +--R 24036a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 720a b - 13200a b - 17664a b + 33408a b + 63408a b +--R + +--R 12 3 +--R 26256a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 24a b + 3096a b - 9360a b - 33600a b - 13320a b +--R + +--R 11 4 13 2 +--R 21096a b + 13296a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 240a b + 3600a b + 3456a b - 11136a b - 14544a b +--R + +--R 12 3 14 +--R - 1296a b + 2496a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R 6a b - 318a b + 486a b + 2370a b + 1020a b - 1404a b +--R + +--R 13 2 15 +--R - 768a b + 96a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 8 +--R (24a b + 72a b + 72a b + 24a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 7 +--R (480a b + 1440a b + 1440a b + 480a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 96a b + 2976a b + 9504a b + 9696a b + 3264a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (- 1440a b + 6000a b + 26640a b + 29520a b + 10320a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 144a b - 6480a b - 3840a b + 28800a b + 42480a b +--R + +--R 12 3 +--R 16464a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 1440a b - 9600a b - 24576a b - 1728a b + 24672a b +--R + +--R 13 2 +--R 12864a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 8 7 10 5 12 3 +--R - 96a b + 3744a b - 19200a b - 18720a b + 864a b +--R + +--R 14 +--R 4224a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 480a b + 2160a b + 5904a b + 336a b - 5616a b +--R + +--R 13 2 15 +--R - 2304a b + 384a +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R 24a b - 312a b - 360a b + 840a b + 1200a b + 144a b +--R + +--R 14 +--R - 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 8 +--R (36a b + 108a b + 108a b + 36a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 7 +--R (480a b + 1440a b + 1440a b + 480a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (- 144a b + 1944a b + 6696a b + 6984a b + 2376a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (- 1440a b + 1296a b + 12528a b + 15408a b + 5616a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 216a b - 4320a b - 7680a b + 5040a b + 14760a b +--R + +--R 13 2 +--R 6576a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 1440a b - 2880a b - 13824a b - 9792a b + 3168a b +--R + +--R 14 +--R 3456a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 144a b + 2376a b + 3960a b - 3240a b - 7560a b +--R + +--R 13 2 15 +--R - 2304a b + 576a +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 480a b + 144a b + 2736a b + 2544a b - 144a b +--R + +--R 14 +--R - 576a b +--R * +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R 36a b - 108a b - 396a b - 180a b + 216a b + 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 8 +--R (24a b + 72a b + 72a b + 24a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 7 +--R (240a b + 720a b + 720a b + 240a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (- 96a b + 624a b + 2448a b + 2640a b + 912a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R (- 720a b - 528a b + 2736a b + 4176a b + 1632a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 144a b - 1440a b - 3840a b - 1440a b + 2160a b +--R + +--R 14 +--R 1344a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 +--R (720a b + 240a b - 3216a b - 3888a b - 768a b + 384a ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 96a b + 720a b + 2160a b + 1200a b - 720a b +--R + +--R 14 +--R - 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R (- 240a b - 432a b + 144a b + 624a b + 288a b ) +--R * +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 24a b + 24a b - 72a b - 120a b - 48a b +--R * +--R sinh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 8 +--R (6a b + 18a b + 18a b + 6a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 7 +--R (48a b + 144a b + 144a b + 48a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 6 +--R (- 24a b + 72a b + 360a b + 408a b + 144a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 5 +--R (- 144a b - 240a b + 144a b + 432a b + 192a b)cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 15 4 +--R (36a b - 180a b - 660a b - 540a b + 96a )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 3 +--R (144a b + 240a b - 144a b - 432a b - 192a b)cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 2 +--R (- 24a b + 72a b + 360a b + 408a b + 144a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 5 10 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) + 6a b +--R + +--R 7 8 9 6 11 4 +--R 18a b + 18a b + 6a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 15 2 13 4 11 6 9 12 +--R (- 12b - 36a b - 36a b - 12a b )sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 14 +--R (- 96b - 288a b - 288a b - 96a b )cosh(d x + c) - 144a b +--R + +--R 3 12 5 10 7 8 +--R - 432a b - 432a b - 144a b +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 2 +--R (- 336b - 1008a b - 1008a b - 336a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 +--R (- 1056a b - 3168a b - 3168a b - 1056a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R 48b - 600a b - 2088a b - 2184a b - 744a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 3 +--R (- 672b - 2016a b - 2016a b - 672a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 2 +--R (- 3360a b - 10080a b - 10080a b - 3360a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (288b - 4128a b - 14112a b - 14688a b - 4992a b ) +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 480a b - 720a b - 5040a b - 6000a b - 2160a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 4 +--R (- 840b - 2520a b - 2520a b - 840a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 3 +--R (- 6048a b - 18144a b - 18144a b - 6048a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (720b - 12240a b - 41040a b - 42480a b - 14400a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (2592a b - 5472a b - 31968a b - 37152a b - 13248a b ) +--R * +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R - 72b + 1800a b + 1980a b - 5580a b - 9540a b - 3852a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 5 +--R (- 672b - 2016a b - 2016a b - 672a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 4 +--R (- 6720a b - 20160a b - 20160a b - 6720a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (960b - 20352a b - 66816a b - 68736a b - 23232a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (5760a b - 17280a b - 86400a b - 97920a b - 34560a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R - 288b + 8928a b + 6912a b - 35712a b - 55008a b +--R + +--R 10 5 +--R - 21600a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 576a b + 2880a b + 7776a b + 288a b - 8352a b - 4320a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 6 +--R (- 336b - 1008a b - 1008a b - 336a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 4704a b - 14112a b - 14112a b - 4704a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (720b - 20640a b - 66240a b - 67680a b - 22800a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (6720a b - 29568a b - 129024a b - 142464a b - 49728a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R - 432b + 18000a b + 5760a b - 95040a b - 133200a b +--R + +--R 10 5 +--R - 50832a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 2016a b + 14112a b + 32256a b - 8064a b - 46368a b +--R + +--R 11 4 +--R - 22176a b +--R * +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R 48b - 1728a b + 720a b + 10032a b + 7776a b - 2736a b +--R + +--R 12 3 +--R - 2976a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 7 +--R (- 96b - 288a b - 288a b - 96a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 6 +--R (- 2016a b - 6048a b - 6048a b - 2016a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (288b - 12960a b - 40608a b - 41184a b - 13824a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (4320a b - 29760a b - 115200a b - 123840a b - 42720a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R - 288b + 18720a b - 6912a b - 135936a b - 174816a b +--R + +--R 10 5 +--R - 64800a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 +--R - 2592a b + 27360a b + 50688a b - 38016a b +--R + +--R 9 6 11 4 +--R - 105696a b - 46944a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R 96b - 5472a b + 7488a b + 42240a b + 25632a b +--R + +--R 10 5 12 3 +--R - 17568a b - 14016a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 288a b - 2304a b - 3744a b + 4320a b + 8064a b +--R + +--R 11 4 13 2 +--R 1440a b - 1152a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 +--R (- 12b - 36a b - 36a b - 12a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 7 +--R (- 480a b - 1440a b - 1440a b - 480a b )cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (48b - 4848a b - 14832a b - 14928a b - 4992a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (1440a b - 17760a b - 61920a b - 64800a b - 22080a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R - 72b + 10440a b - 16320a b - 112320a b - 133560a b +--R + +--R 10 5 +--R - 48072a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 +--R - 1440a b + 26400a b + 35328a b - 66816a b +--R + +--R 9 6 11 4 +--R - 126816a b - 52512a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R 48b - 6192a b + 18720a b + 67200a b + 26640a b +--R + +--R 10 5 12 3 +--R - 42192a b - 26592a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 480a b - 7200a b - 6912a b + 22272a b + 29088a b +--R + +--R 11 4 13 2 +--R 2592a b - 4992a b +--R * +--R cosh(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R - 12b + 636a b - 972a b - 4740a b - 2040a b + 2808a b +--R + +--R 12 3 14 +--R 1536a b - 192a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 8 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (- 960a b - 2880a b - 2880a b - 960a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (192a b - 5952a b - 19008a b - 19392a b - 6528a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (2880a b - 12000a b - 53280a b - 59040a b - 20640a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 288a b + 12960a b + 7680a b - 57600a b - 84960a b +--R + +--R 11 4 +--R - 32928a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 2880a b + 19200a b + 49152a b + 3456a b - 49344a b +--R + +--R 12 3 +--R - 25728a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 7 8 9 6 11 4 +--R 192a b - 7488a b + 38400a b + 37440a b - 1728a b +--R + +--R 13 2 +--R - 8448a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 960a b - 4320a b - 11808a b - 672a b + 11232a b +--R + +--R 12 3 14 +--R 4608a b - 768a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 48a b + 624a b + 720a b - 1680a b - 2400a b - 288a b +--R + +--R 13 2 +--R 384a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 8 +--R (- 72a b - 216a b - 216a b - 72a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 7 +--R (- 960a b - 2880a b - 2880a b - 960a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (288a b - 3888a b - 13392a b - 13968a b - 4752a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (2880a b - 2592a b - 25056a b - 30816a b - 11232a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 432a b + 8640a b + 15360a b - 10080a b - 29520a b +--R + +--R 12 3 +--R - 13152a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 2880a b + 5760a b + 27648a b + 19584a b - 6336a b +--R + +--R 13 2 +--R - 6912a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 288a b - 4752a b - 7920a b + 6480a b + 15120a b +--R + +--R 12 3 14 +--R 4608a b - 1152a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 960a b - 288a b - 5472a b - 5088a b + 288a b +--R + +--R 13 2 +--R 1152a b +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 72a b + 216a b + 792a b + 360a b - 432a b - 288a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 8 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 7 +--R (- 480a b - 1440a b - 1440a b - 480a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (192a b - 1248a b - 4896a b - 5280a b - 1824a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (1440a b + 1056a b - 5472a b - 8352a b - 3264a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 288a b + 2880a b + 7680a b + 2880a b - 4320a b +--R + +--R 13 2 +--R - 2688a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 1440a b - 480a b + 6432a b + 7776a b + 1536a b +--R + +--R 14 +--R - 768a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 192a b - 1440a b - 4320a b - 2400a b + 1440a b +--R + +--R 13 2 +--R 1152a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (480a b + 864a b - 288a b - 1248a b - 576a b ) +--R * +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 48a b - 48a b + 144a b + 240a b + 96a b +--R * +--R sinh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 8 +--R (- 12a b - 36a b - 36a b - 12a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 7 +--R (- 96a b - 288a b - 288a b - 96a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 6 +--R (48a b - 144a b - 720a b - 816a b - 288a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 5 +--R (288a b + 480a b - 288a b - 864a b - 384a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 14 4 +--R (- 72a b + 360a b + 1320a b + 1080a b - 192a b)cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 3 +--R (- 288a b - 480a b + 288a b + 864a b + 384a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 2 +--R (48a b - 144a b - 720a b - 816a b - 288a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 4 11 +--R (96a b + 288a b + 288a b + 96a b )cosh(d x + c) - 12a b +--R + +--R 6 9 8 7 10 5 +--R - 36a b - 36a b - 12a b +--R * +--R d x + c +--R tanh(-------) +--R 2 +--R + +--R 14 3 12 5 10 7 8 12 +--R (- 6a b - 18a b - 18a b - 6a b )sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 2 13 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) - 72a b +--R + +--R 4 11 6 9 8 7 +--R - 216a b - 216a b - 72a b +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 2 +--R (- 168a b - 504a b - 504a b - 168a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 14 +--R (- 528a b - 1584a b - 1584a b - 528a b )cosh(d x + c) + 24a b +--R + +--R 3 12 5 10 7 8 9 6 +--R - 300a b - 1044a b - 1092a b - 372a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 3 +--R (- 336a b - 1008a b - 1008a b - 336a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 2 +--R (- 1680a b - 5040a b - 5040a b - 1680a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (144a b - 2064a b - 7056a b - 7344a b - 2496a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 240a b - 360a b - 2520a b - 3000a b - 1080a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 4 +--R (- 420a b - 1260a b - 1260a b - 420a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (- 3024a b - 9072a b - 9072a b - 3024a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (360a b - 6120a b - 20520a b - 21240a b - 7200a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (1296a b - 2736a b - 15984a b - 18576a b - 6624a b ) +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 36a b + 900a b + 990a b - 2790a b - 4770a b - 1926a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 336a b - 1008a b - 1008a b - 336a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (- 3360a b - 10080a b - 10080a b - 3360a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (480a b - 10176a b - 33408a b - 34368a b - 11616a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (2880a b - 8640a b - 43200a b - 48960a b - 17280a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 144a b + 4464a b + 3456a b - 17856a b - 27504a b +--R + +--R 11 4 +--R - 10800a b +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 288a b + 1440a b + 3888a b + 144a b - 4176a b - 2160a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 6 +--R (- 168a b - 504a b - 504a b - 168a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 2352a b - 7056a b - 7056a b - 2352a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (360a b - 10320a b - 33120a b - 33840a b - 11400a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (3360a b - 14784a b - 64512a b - 71232a b - 24864a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 216a b + 9000a b + 2880a b - 47520a b - 66600a b +--R + +--R 11 4 +--R - 25416a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 1008a b + 7056a b + 16128a b - 4032a b - 23184a b +--R + +--R 12 3 +--R - 11088a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R 24a b - 864a b + 360a b + 5016a b + 3888a b - 1368a b +--R + +--R 13 2 +--R - 1488a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 7 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 6 +--R (- 1008a b - 3024a b - 3024a b - 1008a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (144a b - 6480a b - 20304a b - 20592a b - 6912a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (2160a b - 14880a b - 57600a b - 61920a b - 21360a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 144a b + 9360a b - 3456a b - 67968a b - 87408a b +--R + +--R 11 4 +--R - 32400a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 1296a b + 13680a b + 25344a b - 19008a b - 52848a b +--R + +--R 12 3 +--R - 23472a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 48a b - 2736a b + 3744a b + 21120a b + 12816a b +--R + +--R 11 4 13 2 +--R - 8784a b - 7008a b +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R 144a b - 1152a b - 1872a b + 2160a b + 4032a b + 720a b +--R + +--R 14 +--R - 576a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 14 3 12 5 10 7 8 8 +--R (- 6a b - 18a b - 18a b - 6a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (- 240a b - 720a b - 720a b - 240a b )cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 6 +--R (24a b - 2424a b - 7416a b - 7464a b - 2496a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (720a b - 8880a b - 30960a b - 32400a b - 11040a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 36a b + 5220a b - 8160a b - 56160a b - 66780a b +--R + +--R 11 4 +--R - 24036a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 720a b + 13200a b + 17664a b - 33408a b - 63408a b +--R + +--R 12 3 +--R - 26256a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 24a b - 3096a b + 9360a b + 33600a b + 13320a b +--R + +--R 11 4 13 2 +--R - 21096a b - 13296a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 240a b - 3600a b - 3456a b + 11136a b + 14544a b +--R + +--R 12 3 14 +--R 1296a b - 2496a b +--R * +--R cosh(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 6a b + 318a b - 486a b - 2370a b - 1020a b + 1404a b +--R + +--R 13 2 15 +--R 768a b - 96a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 8 +--R (- 24a b - 72a b - 72a b - 24a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 7 +--R (- 480a b - 1440a b - 1440a b - 480a b )cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 6 +--R (96a b - 2976a b - 9504a b - 9696a b - 3264a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (1440a b - 6000a b - 26640a b - 29520a b - 10320a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 144a b + 6480a b + 3840a b - 28800a b - 42480a b +--R + +--R 12 3 +--R - 16464a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 1440a b + 9600a b + 24576a b + 1728a b - 24672a b +--R + +--R 13 2 +--R - 12864a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 4 11 8 7 10 5 12 3 +--R 96a b - 3744a b + 19200a b + 18720a b - 864a b +--R + +--R 14 +--R - 4224a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R 480a b - 2160a b - 5904a b - 336a b + 5616a b + 2304a b +--R + +--R 15 +--R - 384a +--R * +--R cosh(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 24a b + 312a b + 360a b - 840a b - 1200a b - 144a b +--R + +--R 14 +--R 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 8 +--R (- 36a b - 108a b - 108a b - 36a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 7 +--R (- 480a b - 1440a b - 1440a b - 480a b )cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (144a b - 1944a b - 6696a b - 6984a b - 2376a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (1440a b - 1296a b - 12528a b - 15408a b - 5616a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 216a b + 4320a b + 7680a b - 5040a b - 14760a b +--R + +--R 13 2 +--R - 6576a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 1440a b + 2880a b + 13824a b + 9792a b - 3168a b +--R + +--R 14 +--R - 3456a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 144a b - 2376a b - 3960a b + 3240a b + 7560a b +--R + +--R 13 2 15 +--R 2304a b - 576a +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (480a b - 144a b - 2736a b - 2544a b + 144a b + 576a b) +--R * +--R cosh(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 36a b + 108a b + 396a b + 180a b - 216a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 8 +--R (- 24a b - 72a b - 72a b - 24a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 7 +--R (- 240a b - 720a b - 720a b - 240a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 6 +--R (96a b - 624a b - 2448a b - 2640a b - 912a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 5 +--R (720a b + 528a b - 2736a b - 4176a b - 1632a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 144a b + 1440a b + 3840a b + 1440a b - 2160a b +--R + +--R 14 +--R - 1344a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 +--R (- 720a b - 240a b + 3216a b + 3888a b + 768a b - 384a ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (96a b - 720a b - 2160a b - 1200a b + 720a b + 576a b) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R (240a b + 432a b - 144a b - 624a b - 288a b )cosh(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 24a b - 24a b + 72a b + 120a b + 48a b +--R * +--R sinh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 8 +--R (- 6a b - 18a b - 18a b - 6a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 7 +--R (- 48a b - 144a b - 144a b - 48a b )cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 6 +--R (24a b - 72a b - 360a b - 408a b - 144a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 5 +--R (144a b + 240a b - 144a b - 432a b - 192a b)cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 15 4 +--R (- 36a b + 180a b + 660a b + 540a b - 96a )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 3 +--R (- 144a b - 240a b + 144a b + 432a b + 192a b)cosh(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 13 2 2 +--R (24a b - 72a b - 360a b - 408a b - 144a b )cosh(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 5 10 7 8 +--R (48a b + 144a b + 144a b + 48a b )cosh(d x + c) - 6a b - 18a b +--R + +--R 9 6 11 4 +--R - 18a b - 6a b +--R Type: Expression Integer +--E 90 + +--S 91 of 510 +t0018:= 1/(1+%i*sinh(c+d*x))^4 +--R +--R +--R (77) +--R 1 +--R ----------------------------------------------------------------------------- +--R 4 3 2 +--R sinh(d x + c) - 4%i sinh(d x + c) - 6sinh(d x + c) + 4%i sinh(d x + c) + 1 +--R Type: Expression Complex Integer +--E 91 + +--S 92 of 510 +r0018:= 1/35*cosh(c+d*x)*(35+35*%i*sinh(c+d*x)-25*cosh(c+d*x)^2-10*%i*sinh(c+d*x)*cosh(c+d*x)^2+2*cosh(c+d*x)^4)/d/(-%i+sinh(c+d*x))/(1+%i*sinh(c+d*x))^4 +--R +--R +--R (78) +--R 3 +--R (- 10%i cosh(d x + c) + 35%i cosh(d x + c))sinh(d x + c) +--R + +--R 5 3 +--R 2cosh(d x + c) - 25cosh(d x + c) + 35cosh(d x + c) +--R / +--R 5 4 3 +--R 35d sinh(d x + c) - 175%i d sinh(d x + c) - 350d sinh(d x + c) +--R + +--R 2 +--R 350%i d sinh(d x + c) + 175d sinh(d x + c) - 35%i d +--R Type: Expression Complex Integer +--E 92 + +--S 93 of 510 +a0018:= integrate(t0018,x) +--R +--R +--R (79) +--R 2 +--R - 140sinh(d x + c) + (- 280cosh(d x + c) + 88%i)sinh(d x + c) +--R + +--R 2 +--R - 140cosh(d x + c) + 80%i cosh(d x + c) + 28 +--R / +--R 6 5 +--R 35d sinh(d x + c) + (210d cosh(d x + c) - 245%i d)sinh(d x + c) +--R + +--R 2 4 +--R (525d cosh(d x + c) - 1225%i d cosh(d x + c) - 735d)sinh(d x + c) +--R + +--R 3 2 +--R 700d cosh(d x + c) - 2450%i d cosh(d x + c) - 2940d cosh(d x + c) +--R + +--R 1225%i d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 525d cosh(d x + c) - 2450%i d cosh(d x + c) - 4410d cosh(d x + c) +--R + +--R 3675%i d cosh(d x + c) + 1225d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 210d cosh(d x + c) - 1225%i d cosh(d x + c) - 2940d cosh(d x + c) +--R + +--R 2 +--R 3675%i d cosh(d x + c) + 2450d cosh(d x + c) - 770%i d +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 35d cosh(d x + c) - 245%i d cosh(d x + c) - 735d cosh(d x + c) +--R + +--R 3 2 +--R 1225%i d cosh(d x + c) + 1225d cosh(d x + c) - 700%i d cosh(d x + c) +--R + +--R - 245d +--R Type: Union(Expression Complex Integer,...) +--E 93 + +--S 94 of 510 +m0018:= a0018-r0018 +--R +--R +--R (80) +--R 3 7 +--R (10%i cosh(d x + c) - 35%i cosh(d x + c) - 140)sinh(d x + c) +--R + +--R 5 4 3 +--R - 2cosh(d x + c) + 60%i cosh(d x + c) + 95cosh(d x + c) +--R + +--R 2 +--R - 210%i cosh(d x + c) - 560cosh(d x + c) + 788%i +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 12cosh(d x + c) + 164%i cosh(d x + c) + 500cosh(d x + c) +--R + +--R 3 2 +--R - 910%i cosh(d x + c) - 1575cosh(d x + c) + 2460%i cosh(d x + c) +--R + +--R 1868 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R - 30cosh(d x + c) + 270%i cosh(d x + c) + 1117cosh(d x + c) +--R + +--R 4 3 2 +--R - 2415%i cosh(d x + c) - 3850cosh(d x + c) + 4865%i cosh(d x + c) +--R + +--R 5160cosh(d x + c) - 2420%i +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 40cosh(d x + c) + 290%i cosh(d x + c) + 1368cosh(d x + c) +--R + +--R 5 4 3 +--R - 3605%i cosh(d x + c) - 6300cosh(d x + c) + 8085%i cosh(d x + c) +--R + +--R 2 +--R 8015cosh(d x + c) - 6050%i cosh(d x + c) - 1860 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R - 30cosh(d x + c) + 200%i cosh(d x + c) + 977cosh(d x + c) +--R + +--R 6 5 4 +--R - 3010%i cosh(d x + c) - 6020cosh(d x + c) + 8715%i cosh(d x + c) +--R + +--R 3 2 +--R 9180cosh(d x + c) - 7525%i cosh(d x + c) - 4195cosh(d x + c) + 860%i +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R - 12cosh(d x + c) + 80%i cosh(d x + c) + 388cosh(d x + c) +--R + +--R 7 6 5 +--R - 1330%i cosh(d x + c) - 3045cosh(d x + c) + 4979%i cosh(d x + c) +--R + +--R 4 3 2 +--R 6115cosh(d x + c) - 5520%i cosh(d x + c) - 3850cosh(d x + c) +--R + +--R 1695%i cosh(d x + c) + 228 +--R * +--R sinh(d x + c) +--R + +--R 11 10 9 +--R - 2cosh(d x + c) + 14%i cosh(d x + c) + 67cosh(d x + c) +--R + +--R 8 7 6 +--R - 245%i cosh(d x + c) - 630cosh(d x + c) + 1160%i cosh(d x + c) +--R + +--R 5 4 3 +--R 1624cosh(d x + c) - 1725%i cosh(d x + c) - 1400cosh(d x + c) +--R + +--R 2 +--R 840%i cosh(d x + c) + 325cosh(d x + c) - 28%i +--R / +--R 11 10 +--R 35d sinh(d x + c) + (210d cosh(d x + c) - 420%i d)sinh(d x + c) +--R + +--R 2 9 +--R (525d cosh(d x + c) - 2275%i d cosh(d x + c) - 2310d)sinh(d x + c) +--R + +--R 3 2 +--R 700d cosh(d x + c) - 5075%i d cosh(d x + c) - 11165d cosh(d x + c) +--R + +--R 7700%i d +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 525d cosh(d x + c) - 5950%i d cosh(d x + c) - 21910d cosh(d x + c) +--R + +--R 32725%i d cosh(d x + c) + 17325d +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 210d cosh(d x + c) - 3850%i d cosh(d x + c) - 22190d cosh(d x + c) +--R + +--R 2 +--R 55475%i d cosh(d x + c) + 63525d cosh(d x + c) - 27755%i d +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 35d cosh(d x + c) - 1295%i d cosh(d x + c) - 12110d cosh(d x + c) +--R + +--R 3 2 +--R 47425%i d cosh(d x + c) + 90825d cosh(d x + c) +--R + +--R - 85435%i d cosh(d x + c) - 32515d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 175%i d cosh(d x + c) - 3325d cosh(d x + c) +--R + +--R 4 3 +--R 21175%i d cosh(d x + c) + 63525d cosh(d x + c) +--R + +--R 2 +--R - 99750%i d cosh(d x + c) - 80675d cosh(d x + c) + 28035%i d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 350d cosh(d x + c) + 4550%i d cosh(d x + c) +--R + +--R 4 3 +--R 22225d cosh(d x + c) - 54600%i d cosh(d x + c) +--R + +--R 2 +--R - 73500d cosh(d x + c) + 52815%i d cosh(d x + c) + 17500d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 5 +--R 350%i d cosh(d x + c) + 3500d cosh(d x + c) +--R + +--R 4 3 +--R - 14000%i d cosh(d x + c) - 29400d cosh(d x + c) +--R + +--R 2 +--R 35035%i d cosh(d x + c) + 22925d cosh(d x + c) - 7525%i d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 175d cosh(d x + c) - 1435%i d cosh(d x + c) - 4900d cosh(d x + c) +--R + +--R 3 2 +--R 9065%i d cosh(d x + c) + 9800d cosh(d x + c) +--R + +--R - 5950%i d cosh(d x + c) - 1995d +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 35%i d cosh(d x + c) - 245d cosh(d x + c) + 735%i d cosh(d x + c) +--R + +--R 3 2 +--R 1225d cosh(d x + c) - 1225%i d cosh(d x + c) - 700d cosh(d x + c) +--R + +--R 245%i d +--R Type: Expression Complex Integer +--E 94 + +--S 95 of 510 +d0018:= D(m0018,x) +--R +--R +--R (81) +--R 2 15 +--R (30%i cosh(d x + c) - 35%i)sinh(d x + c) +--R + +--R 4 3 2 +--R - 10cosh(d x + c) + 360%i cosh(d x + c) + 525cosh(d x + c) +--R + +--R - 420%i cosh(d x + c) +--R * +--R 14 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 120cosh(d x + c) + 2090%i cosh(d x + c) + 5880cosh(d x + c) +--R + +--R 2 +--R - 6445%i cosh(d x + c) - 1750cosh(d x + c) - 2548%i +--R * +--R 13 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 650cosh(d x + c) + 7780%i cosh(d x + c) + 30405cosh(d x + c) +--R + +--R 3 2 +--R - 50390%i cosh(d x + c) - 35315cosh(d x + c) - 7490%i cosh(d x + c) +--R + +--R - 17696 +--R * +--R 12 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R - 2080cosh(d x + c) + 20430%i cosh(d x + c) + 95500cosh(d x + c) +--R + +--R 4 3 +--R - 216035%i cosh(d x + c) - 247030cosh(d x + c) +--R + +--R 2 +--R 95018%i cosh(d x + c) - 76482cosh(d x + c) + 61320%i +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 4290cosh(d x + c) + 38720%i cosh(d x + c) + 199925cosh(d x + c) +--R + +--R 5 4 +--R - 571320%i cosh(d x + c) - 909580cosh(d x + c) +--R + +--R 3 2 +--R 749210%i cosh(d x + c) + 114153cosh(d x + c) +--R + +--R 266602%i cosh(d x + c) + 130074 +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R - 5720cosh(d x + c) + 51370%i cosh(d x + c) + 282700cosh(d x + c) +--R + +--R 6 5 +--R - 974565%i cosh(d x + c) - 2010540cosh(d x + c) +--R + +--R 4 3 +--R 2447850%i cosh(d x + c) + 1491790cosh(d x + c) +--R + +--R 2 +--R 22890%i cosh(d x + c) + 517188cosh(d x + c) - 174202%i +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R - 4290cosh(d x + c) + 41580%i cosh(d x + c) + 245685cosh(d x + c) +--R + +--R 7 6 +--R - 1023090%i cosh(d x + c) - 2694475cosh(d x + c) +--R + +--R 5 4 +--R 4406852%i cosh(d x + c) + 4321335cosh(d x + c) +--R + +--R 3 2 +--R - 2007880%i cosh(d x + c) + 235547cosh(d x + c) +--R + +--R - 578578%i cosh(d x + c) - 127918 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 9 +--R 5610%i cosh(d x + c) + 56760cosh(d x + c) +--R + +--R 8 7 +--R - 432705%i cosh(d x + c) - 1772540cosh(d x + c) +--R + +--R 6 5 +--R 4118120%i cosh(d x + c) + 5806024cosh(d x + c) +--R + +--R 4 3 +--R - 4807440%i cosh(d x + c) - 1787962cosh(d x + c) +--R + +--R 2 +--R - 202762%i cosh(d x + c) - 257880cosh(d x + c) - 7084%i +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 4290cosh(d x + c) - 35640%i cosh(d x + c) - 179025cosh(d x + c) +--R + +--R 9 8 +--R 509980%i cosh(d x + c) + 664160cosh(d x + c) +--R + +--R 7 6 +--R 167048%i cosh(d x + c) + 1989078cosh(d x + c) +--R + +--R 5 4 +--R - 3237820%i cosh(d x + c) - 2502618cosh(d x + c) +--R + +--R 3 2 +--R 837102%i cosh(d x + c) + 179473cosh(d x + c) +--R + +--R - 265118%i cosh(d x + c) - 137900 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 13 12 11 +--R 5720cosh(d x + c) - 54450%i cosh(d x + c) - 303600cosh(d x + c) +--R + +--R 10 9 +--R 1134465%i cosh(d x + c) + 2842210cosh(d x + c) +--R + +--R 8 7 +--R - 4873820%i cosh(d x + c) - 5876472cosh(d x + c) +--R + +--R 6 5 +--R 5074732%i cosh(d x + c) + 3233082cosh(d x + c) +--R + +--R 4 3 +--R - 1577842%i cosh(d x + c) - 320320cosh(d x + c) +--R + +--R 2 +--R - 530658%i cosh(d x + c) - 578718cosh(d x + c) + 174811%i +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 14 13 12 +--R 4290cosh(d x + c) - 44740%i cosh(d x + c) - 264825cosh(d x + c) +--R + +--R 11 10 +--R 1092230%i cosh(d x + c) + 3216535cosh(d x + c) +--R + +--R 9 8 +--R - 6883590%i cosh(d x + c) - 10987270cosh(d x + c) +--R + +--R 7 6 +--R 13364640%i cosh(d x + c) + 12505620cosh(d x + c) +--R + +--R 5 4 +--R - 8924370%i cosh(d x + c) - 4528885cosh(d x + c) +--R + +--R 3 2 +--R 1082750%i cosh(d x + c) - 493990cosh(d x + c) +--R + +--R 511252%i cosh(d x + c) + 123578 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 15 14 13 +--R 2080cosh(d x + c) - 23510%i cosh(d x + c) - 146820cosh(d x + c) +--R + +--R 12 11 +--R 646855%i cosh(d x + c) + 2102450cosh(d x + c) +--R + +--R 10 9 +--R - 5116930%i cosh(d x + c) - 9504470cosh(d x + c) +--R + +--R 8 7 +--R 13725640%i cosh(d x + c) + 15572570cosh(d x + c) +--R + +--R 6 5 +--R - 13854610%i cosh(d x + c) - 9453408cosh(d x + c) +--R + +--R 4 3 +--R 4575200%i cosh(d x + c) + 1154860cosh(d x + c) +--R + +--R 2 +--R 210628%i cosh(d x + c) + 261282cosh(d x + c) - 54425%i +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 16 15 14 +--R 650cosh(d x + c) - 7920%i cosh(d x + c) - 52145cosh(d x + c) +--R + +--R 13 12 +--R 242560%i cosh(d x + c) + 849100cosh(d x + c) +--R + +--R 11 10 +--R - 2274770%i cosh(d x + c) - 4732575cosh(d x + c) +--R + +--R 9 8 +--R 7767650%i cosh(d x + c) + 10177000cosh(d x + c) +--R + +--R 7 6 +--R - 10681650%i cosh(d x + c) - 8914185cosh(d x + c) +--R + +--R 5 4 +--R 5761206%i cosh(d x + c) + 2683390cosh(d x + c) +--R + +--R 3 2 +--R - 724468%i cosh(d x + c) + 12103cosh(d x + c) +--R + +--R - 75880%i cosh(d x + c) - 14210 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 17 16 15 +--R 120cosh(d x + c) - 1570%i cosh(d x + c) - 10900cosh(d x + c) +--R + +--R 14 13 +--R 53265%i cosh(d x + c) + 198240cosh(d x + c) +--R + +--R 12 11 +--R - 574250%i cosh(d x + c) - 1311110cosh(d x + c) +--R + +--R 10 9 +--R 2390890%i cosh(d x + c) + 3523810cosh(d x + c) +--R + +--R 8 7 +--R - 4226600%i cosh(d x + c) - 4123512cosh(d x + c) +--R + +--R 6 5 +--R 3239182%i cosh(d x + c) + 1995050cosh(d x + c) +--R + +--R 4 3 +--R - 906607%i cosh(d x + c) - 261898cosh(d x + c) +--R + +--R 2 +--R 23975%i cosh(d x + c) - 9800cosh(d x + c) + 1715%i +--R * +--R sinh(d x + c) +--R + +--R 18 17 16 +--R 10cosh(d x + c) - 140%i cosh(d x + c) - 1025cosh(d x + c) +--R + +--R 15 14 13 +--R 5250%i cosh(d x + c) + 20615cosh(d x + c) - 63820%i cosh(d x + c) +--R + +--R 12 11 +--R - 157745cosh(d x + c) + 314840%i cosh(d x + c) +--R + +--R 10 9 8 +--R 513065cosh(d x + c) - 688520%i cosh(d x + c) - 763605cosh(d x + c) +--R + +--R 7 6 5 +--R 697802%i cosh(d x + c) + 519732cosh(d x + c) - 307552%i cosh(d x + c) +--R + +--R 4 3 2 +--R - 137907cosh(d x + c) + 42140%i cosh(d x + c) + 6860cosh(d x + c) +--R / +--R 18 17 +--R 35sinh(d x + c) + (420cosh(d x + c) - 700%i)sinh(d x + c) +--R + +--R 2 16 +--R (2310cosh(d x + c) - 7910%i cosh(d x + c) - 6650)sinh(d x + c) +--R + +--R 3 2 +--R 7700cosh(d x + c) - 40810%i cosh(d x + c) - 70490cosh(d x + c) +--R + +--R 39900%i +--R * +--R 15 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 17325cosh(d x + c) - 127050%i cosh(d x + c) - 339675cosh(d x + c) +--R + +--R 395010%i cosh(d x + c) + 169575 +--R * +--R 14 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 27720cosh(d x + c) - 265650%i cosh(d x + c) - 982800cosh(d x + c) +--R + +--R 2 +--R 1769040%i cosh(d x + c) + 1560090cosh(d x + c) - 542710%i +--R * +--R 13 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 32340cosh(d x + c) - 392700%i cosh(d x + c) - 1898925cosh(d x + c) +--R + +--R 3 2 +--R 4730110%i cosh(d x + c) + 6456345cosh(d x + c) +--R + +--R - 4612790%i cosh(d x + c) - 1357510 +--R * +--R 12 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R 27720cosh(d x + c) - 420420%i cosh(d x + c) - 2576700cosh(d x + c) +--R + +--R 4 3 +--R 8390340%i cosh(d x + c) + 15848420cosh(d x + c) +--R + +--R 2 +--R - 17522190%i cosh(d x + c) - 10585540cosh(d x + c) + 2718590%i +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R 17325cosh(d x + c) - 328020%i cosh(d x + c) - 2512230cosh(d x + c) +--R + +--R 5 4 +--R 10371060%i cosh(d x + c) + 25610515cosh(d x + c) +--R + +--R 3 2 +--R - 39179910%i cosh(d x + c) - 36613010cosh(d x + c) +--R + +--R 19284790%i cosh(d x + c) + 4428060 +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R 7700cosh(d x + c) - 184800%i cosh(d x + c) - 1768200cosh(d x + c) +--R + +--R 6 5 +--R 9125760%i cosh(d x + c) + 28576100cosh(d x + c) +--R + +--R 4 3 +--R - 57151850%i cosh(d x + c) - 73877300cosh(d x + c) +--R + +--R 2 +--R 60145190%i cosh(d x + c) + 28280980cosh(d x + c) - 5923190%i +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R 2310cosh(d x + c) - 73150%i cosh(d x + c) - 888300cosh(d x + c) +--R + +--R 7 6 +--R 5731740%i cosh(d x + c) + 22447390cosh(d x + c) +--R + +--R 5 4 +--R - 56935620%i cosh(d x + c) - 96198550cosh(d x + c) +--R + +--R 3 2 +--R 108267810%i cosh(d x + c) + 78585570cosh(d x + c) +--R + +--R - 33629050%i cosh(d x + c) - 6536565 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 11 10 9 +--R 420cosh(d x + c) - 19250%i cosh(d x + c) - 309050cosh(d x + c) +--R + +--R 8 7 +--R 2533860%i cosh(d x + c) + 12414920cosh(d x + c) +--R + +--R 6 5 +--R - 39395160%i cosh(d x + c) - 84413210cosh(d x + c) +--R + +--R 4 3 +--R 124124490%i cosh(d x + c) + 124418980cosh(d x + c) +--R + +--R 2 +--R - 82027610%i cosh(d x + c) - 32472370cosh(d x + c) + 5948880%i +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 35cosh(d x + c) - 3010%i cosh(d x + c) - 70175cosh(d x + c) +--R + +--R 9 8 +--R 762090%i cosh(d x + c) + 4749745cosh(d x + c) +--R + +--R 7 6 +--R - 18867100%i cosh(d x + c) - 50586725cosh(d x + c) +--R + +--R 5 4 +--R 94313100%i cosh(d x + c) + 123418120cosh(d x + c) +--R + +--R 3 2 +--R - 112186830%i cosh(d x + c) - 68234355cosh(d x + c) +--R + +--R 25347630%i cosh(d x + c) + 4439435 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 12 11 +--R - 210%i cosh(d x + c) - 9240cosh(d x + c) +--R + +--R 10 9 +--R 146160%i cosh(d x + c) + 1208690cosh(d x + c) +--R + +--R 8 7 +--R - 6113310%i cosh(d x + c) - 20527920cosh(d x + c) +--R + +--R 6 5 +--R 47891270%i cosh(d x + c) + 79421790cosh(d x + c) +--R + +--R 4 3 +--R - 94134530%i cosh(d x + c) - 78761760cosh(d x + c) +--R + +--R 2 +--R 44788800%i cosh(d x + c) + 15811250cosh(d x + c) - 2683450%i +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 12 11 +--R - 525cosh(d x + c) + 15750%i cosh(d x + c) +--R + +--R 10 9 +--R 190225cosh(d x + c) - 1278550%i cosh(d x + c) +--R + +--R 8 7 +--R - 5471025cosh(d x + c) + 15990100%i cosh(d x + c) +--R + +--R 6 5 +--R 33176535cosh(d x + c) - 49791700%i cosh(d x + c) +--R + +--R 4 3 +--R - 54226200cosh(d x + c) + 42292250%i cosh(d x + c) +--R + +--R 2 +--R 22749265cosh(d x + c) - 7717570%i cosh(d x + c) - 1286040 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 12 11 +--R 700%i cosh(d x + c) + 16100cosh(d x + c) +--R + +--R 10 9 +--R - 158410%i cosh(d x + c) - 901950cosh(d x + c) +--R + +--R 8 7 +--R 3361400%i cosh(d x + c) + 8738240cosh(d x + c) +--R + +--R 6 5 +--R - 16400440%i cosh(d x + c) - 22588650cosh(d x + c) +--R + +--R 4 3 +--R 22877750%i cosh(d x + c) + 16813860cosh(d x + c) +--R + +--R 2 +--R - 8642830%i cosh(d x + c) - 2845360cosh(d x + c) + 471590%i +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 525cosh(d x + c) - 9870%i cosh(d x + c) - 82425cosh(d x + c) +--R + +--R 9 8 +--R 409150%i cosh(d x + c) + 1356810cosh(d x + c) +--R + +--R 7 6 +--R - 3190320%i cosh(d x + c) - 5491045cosh(d x + c) +--R + +--R 5 4 +--R 7021560%i cosh(d x + c) + 6681640cosh(d x + c) +--R + +--R 3 2 +--R - 4671170%i cosh(d x + c) - 2315040cosh(d x + c) +--R + +--R 745850%i cosh(d x + c) + 124495 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 12 11 +--R - 210%i cosh(d x + c) - 3360cosh(d x + c) +--R + +--R 10 9 +--R 24500%i cosh(d x + c) + 108290cosh(d x + c) +--R + +--R 8 7 +--R - 324870%i cosh(d x + c) - 700280cosh(d x + c) +--R + +--R 6 5 +--R 1117830%i cosh(d x + c) + 1340150cosh(d x + c) +--R + +--R 4 3 +--R - 1208830%i cosh(d x + c) - 810460cosh(d x + c) +--R + +--R 2 +--R 390250%i cosh(d x + c) + 123900cosh(d x + c) - 21070%i +--R * +--R sinh(d x + c) +--R + +--R 12 11 10 +--R - 35cosh(d x + c) + 490%i cosh(d x + c) + 3185cosh(d x + c) +--R + +--R 9 8 7 +--R - 12740%i cosh(d x + c) - 35035cosh(d x + c) + 70000%i cosh(d x + c) +--R + +--R 6 5 4 +--R 104615cosh(d x + c) - 118580%i cosh(d x + c) - 102165cosh(d x + c) +--R + +--R 3 2 +--R 66150%i cosh(d x + c) + 31150cosh(d x + c) - 9800%i cosh(d x + c) - 1715 +--R Type: Expression Complex Integer +--E 95 + +--S 96 of 510 +t0019:= 1/(1-%i*sinh(c+d*x))^3 +--R +--R +--R %i +--R (82) - --------------------------------------------------------- +--R 3 2 +--R sinh(d x + c) + 3%i sinh(d x + c) - 3sinh(d x + c) - %i +--R Type: Expression Complex Integer +--E 96 + +--S 97 of 510 +r0019:= -1/5*%i*cosh(c+d*x)/d/(1-%i*sinh(c+d*x))^3-2/15*%i*cosh(c+d*x)/d/(1-%i*sinh(c+d*x))^2+2/15*cosh(c+d*x)/d/(%i+sinh(c+d*x)) +--R +--R +--R (83) +--R 2 2 2 +--R -- cosh(d x + c)sinh(d x + c) + - %i cosh(d x + c)sinh(d x + c) +--R 15 5 +--R + +--R 7 +--R - -- cosh(d x + c) +--R 15 +--R / +--R 3 2 +--R d sinh(d x + c) + 3%i d sinh(d x + c) - 3d sinh(d x + c) - %i d +--R Type: Expression Complex Fraction Integer +--E 97 + +--S 98 of 510 +a0019:= integrate(t0019,x) +--R +--R +--R (84) +--R 44%i sinh(d x + c) + 36%i cosh(d x + c) - 20 +--R / +--R 4 3 +--R 15d sinh(d x + c) + (60d cosh(d x + c) + 75%i d)sinh(d x + c) +--R + +--R 2 2 +--R (90d cosh(d x + c) + 225%i d cosh(d x + c) - 150d)sinh(d x + c) +--R + +--R 3 2 +--R 60d cosh(d x + c) + 225%i d cosh(d x + c) - 300d cosh(d x + c) +--R + +--R - 165%i d +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 15d cosh(d x + c) + 75%i d cosh(d x + c) - 150d cosh(d x + c) +--R + +--R - 135%i d cosh(d x + c) + 75d +--R Type: Union(Expression Complex Integer,...) +--E 98 + +--S 99 of 510 +m0019:= a0019-r0019 +--R +--R +--R (85) +--R 2 6 +--R - -- cosh(d x + c)sinh(d x + c) +--R 15 +--R + +--R 8 2 16 5 +--R (- -- cosh(d x + c) - -- %i cosh(d x + c))sinh(d x + c) +--R 15 15 +--R + +--R 4 3 18 2 19 44 +--R (- - cosh(d x + c) - -- %i cosh(d x + c) + -- cosh(d x + c) + -- %i) +--R 5 5 5 15 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 4 22 3 158 2 +--R - -- cosh(d x + c) - -- %i cosh(d x + c) + --- cosh(d x + c) +--R 15 5 15 +--R + +--R 51 152 +--R -- %i cosh(d x + c) - --- +--R 5 15 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 5 34 4 152 3 +--R - -- cosh(d x + c) - -- %i cosh(d x + c) + --- cosh(d x + c) +--R 15 15 15 +--R + +--R 81 2 254 64 +--R -- %i cosh(d x + c) - --- cosh(d x + c) - -- %i +--R 5 15 5 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 5 58 4 3 +--R - - %i cosh(d x + c) + -- cosh(d x + c) + 11%i cosh(d x + c) +--R 5 15 +--R + +--R 194 2 43 104 +--R - --- cosh(d x + c) - -- %i cosh(d x + c) + --- +--R 15 3 15 +--R * +--R sinh(d x + c) +--R + +--R 7 5 7 4 14 3 +--R -- cosh(d x + c) + - %i cosh(d x + c) - -- cosh(d x + c) +--R 15 3 3 +--R + +--R 21 2 71 4 +--R - -- %i cosh(d x + c) + -- cosh(d x + c) + - %i +--R 5 15 3 +--R / +--R 7 6 +--R d sinh(d x + c) + (4d cosh(d x + c) + 8%i d)sinh(d x + c) +--R + +--R 2 5 +--R (6d cosh(d x + c) + 27%i d cosh(d x + c) - 28d)sinh(d x + c) +--R + +--R 3 2 +--R 4d cosh(d x + c) + 33%i d cosh(d x + c) - 77d cosh(d x + c) +--R + +--R - 57%i d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R d cosh(d x + c) + 17%i d cosh(d x + c) - 73d cosh(d x + c) +--R + +--R - 118%i d cosh(d x + c) + 73d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 3%i d cosh(d x + c) - 27d cosh(d x + c) - 81%i d cosh(d x + c) +--R + +--R 102d cosh(d x + c) + 58%i d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 3d cosh(d x + c) - 19%i d cosh(d x + c) + 45d cosh(d x + c) +--R + +--R 47%i d cosh(d x + c) - 26d +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - %i d cosh(d x + c) + 5d cosh(d x + c) + 10%i d cosh(d x + c) +--R + +--R - 9d cosh(d x + c) - 5%i d +--R Type: Expression Complex Fraction Integer +--E 99 + +--S 100 of 510 +d0019:= D(m0019,x) +--R +--R +--R (86) +--R 2 12 16 28 11 +--R - -- sinh(d x + c) + (- -- cosh(d x + c) - -- %i)sinh(d x + c) +--R 15 15 15 +--R + +--R 18 2 68 61 10 +--R (- -- cosh(d x + c) - -- %i cosh(d x + c) + --)sinh(d x + c) +--R 5 5 5 +--R + +--R 32 3 616 2 1204 +--R - -- cosh(d x + c) - --- %i cosh(d x + c) + ---- cosh(d x + c) +--R 5 15 15 +--R + +--R 601 +--R --- %i +--R 15 +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 28 4 944 3 3209 2 +--R - -- cosh(d x + c) - --- %i cosh(d x + c) + ---- cosh(d x + c) +--R 5 15 15 +--R + +--R 1226 317 +--R ---- %i cosh(d x + c) - --- +--R 5 5 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 616 4 4108 3 +--R - --- %i cosh(d x + c) + ---- cosh(d x + c) +--R 15 15 +--R + +--R 1748 2 5848 301 +--R ---- %i cosh(d x + c) - ---- cosh(d x + c) - --- %i +--R 3 15 15 +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 28 6 56 5 322 4 +--R -- cosh(d x + c) + -- %i cosh(d x + c) + --- cosh(d x + c) +--R 5 3 3 +--R + +--R 2984 3 12466 2 3688 +--R ---- %i cosh(d x + c) - ----- cosh(d x + c) - ---- %i cosh(d x + c) +--R 5 15 15 +--R + +--R 428 +--R - --- +--R 5 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 32 7 896 6 2492 5 +--R -- cosh(d x + c) + --- %i cosh(d x + c) - ---- cosh(d x + c) +--R 5 15 15 +--R + +--R 26 4 3 6847 2 +--R -- %i cosh(d x + c) - 556cosh(d x + c) - ---- %i cosh(d x + c) +--R 3 15 +--R + +--R 2422 1862 +--R - ---- cosh(d x + c) - ---- %i +--R 15 15 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 18 8 784 7 4186 6 +--R -- cosh(d x + c) + --- %i cosh(d x + c) - ---- cosh(d x + c) +--R 5 15 15 +--R + +--R 9424 5 4 1074 3 +--R - ---- %i cosh(d x + c) + 564cosh(d x + c) + ---- %i cosh(d x + c) +--R 15 5 +--R + +--R 5452 2 6106 547 +--R - ---- cosh(d x + c) - ---- %i cosh(d x + c) + --- +--R 15 15 15 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 16 9 356 8 2876 7 +--R -- cosh(d x + c) + --- %i cosh(d x + c) - ---- cosh(d x + c) +--R 15 15 15 +--R + +--R 10372 6 19184 5 +--R - ----- %i cosh(d x + c) + ----- cosh(d x + c) +--R 15 15 +--R + +--R 20393 4 16504 3 +--R ----- %i cosh(d x + c) - ----- cosh(d x + c) +--R 15 15 +--R + +--R 2504 2 1492 757 +--R - ---- %i cosh(d x + c) + ---- cosh(d x + c) - --- %i +--R 3 5 15 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 10 28 9 1057 8 +--R -- cosh(d x + c) + -- %i cosh(d x + c) - ---- cosh(d x + c) +--R 15 5 15 +--R + +--R 1072 7 4734 6 +--R - ---- %i cosh(d x + c) + ---- cosh(d x + c) +--R 3 5 +--R + +--R 22136 5 22904 4 +--R ----- %i cosh(d x + c) - ----- cosh(d x + c) +--R 15 15 +--R + +--R 17864 3 9982 2 +--R - ----- %i cosh(d x + c) + ---- cosh(d x + c) +--R 15 15 +--R + +--R 488 139 +--R --- %i cosh(d x + c) + --- +--R 5 3 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 10 40 9 1403 8 +--R -- %i cosh(d x + c) - -- cosh(d x + c) - ---- %i cosh(d x + c) +--R 15 3 15 +--R + +--R 4924 7 2039 6 13714 5 +--R ---- cosh(d x + c) + ---- %i cosh(d x + c) - ----- cosh(d x + c) +--R 15 3 15 +--R + +--R 13138 4 1832 3 +--R - ----- %i cosh(d x + c) + ---- cosh(d x + c) +--R 15 3 +--R + +--R 4163 2 34 35 +--R ---- %i cosh(d x + c) - -- cosh(d x + c) + -- %i +--R 15 3 3 +--R * +--R sinh(d x + c) +--R + +--R 10 9 8 +--R - cosh(d x + c) - 10%i cosh(d x + c) + 45cosh(d x + c) +--R + +--R 7 6 710 5 +--R 118%i cosh(d x + c) - 200cosh(d x + c) - --- %i cosh(d x + c) +--R 3 +--R + +--R 623 4 386 3 155 2 +--R --- cosh(d x + c) + --- %i cosh(d x + c) - --- cosh(d x + c) +--R 3 3 3 +--R / +--R 12 11 +--R sinh(d x + c) + (8cosh(d x + c) + 14%i)sinh(d x + c) +--R + +--R 2 10 +--R (28cosh(d x + c) + 102%i cosh(d x + c) - 91)sinh(d x + c) +--R + +--R 3 2 +--R (56cosh(d x + c) + 322%i cosh(d x + c) - 598cosh(d x + c) - 366%i) +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 70cosh(d x + c) + 574%i cosh(d x + c) - 1683cosh(d x + c) +--R + +--R - 2138%i cosh(d x + c) + 1019 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 56cosh(d x + c) + 630%i cosh(d x + c) - 2636cosh(d x + c) +--R + +--R 2 +--R - 5276%i cosh(d x + c) + 5192cosh(d x + c) + 2072%i +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 28cosh(d x + c) + 434%i cosh(d x + c) - 2495cosh(d x + c) +--R + +--R 3 2 +--R - 7120%i cosh(d x + c) + 10994cosh(d x + c) + 8996%i cosh(d x + c) +--R + +--R - 3154 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R 8cosh(d x + c) + 182%i cosh(d x + c) - 1446cosh(d x + c) +--R + +--R 4 3 +--R - 5674%i cosh(d x + c) + 12460cosh(d x + c) +--R + +--R 2 +--R 15904%i cosh(d x + c) - 11332cosh(d x + c) - 3616%i +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R cosh(d x + c) + 42%i cosh(d x + c) - 493cosh(d x + c) +--R + +--R 5 4 3 +--R - 2682%i cosh(d x + c) + 8096cosh(d x + c) + 14636%i cosh(d x + c) +--R + +--R 2 +--R - 16152cosh(d x + c) - 10348%i cosh(d x + c) + 3091 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R 4%i cosh(d x + c) - 88cosh(d x + c) - 712%i cosh(d x + c) +--R + +--R 5 4 3 +--R 2988cosh(d x + c) + 7414%i cosh(d x + c) - 11524cosh(d x + c) +--R + +--R 2 +--R - 11348%i cosh(d x + c) + 6688cosh(d x + c) + 1914%i +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 6cosh(d x + c) - 92%i cosh(d x + c) + 578cosh(d x + c) +--R + +--R 5 4 3 +--R 1998%i cosh(d x + c) - 4251cosh(d x + c) - 5856%i cosh(d x + c) +--R + +--R 2 +--R 5266cosh(d x + c) + 2902%i cosh(d x + c) - 811 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 4%i cosh(d x + c) + 48cosh(d x + c) + 250%i cosh(d x + c) +--R + +--R 5 4 3 +--R - 742cosh(d x + c) - 1394%i cosh(d x + c) + 1740cosh(d x + c) +--R + +--R 2 +--R 1454%i cosh(d x + c) - 758cosh(d x + c) - 210%i +--R * +--R sinh(d x + c) +--R + +--R 8 7 6 +--R cosh(d x + c) + 10%i cosh(d x + c) - 45cosh(d x + c) +--R + +--R 5 4 3 +--R - 118%i cosh(d x + c) + 200cosh(d x + c) + 230%i cosh(d x + c) +--R + +--R 2 +--R - 181cosh(d x + c) - 90%i cosh(d x + c) + 25 +--R Type: Expression Complex Fraction Integer +--E 100 + +--S 101 of 510 +t0020:= 1/(1-%i*sinh(c+d*x))^4 +--R +--R +--R (87) +--R 1 +--R ----------------------------------------------------------------------------- +--R 4 3 2 +--R sinh(d x + c) + 4%i sinh(d x + c) - 6sinh(d x + c) - 4%i sinh(d x + c) + 1 +--R Type: Expression Complex Integer +--E 101 + +--S 102 of 510 +r0020:= 1/35*cosh(c+d*x)*(35-35*%i*sinh(c+d*x)-25*cosh(c+d*x)^2+10*%i*sinh(c+d*x)*cosh(c+d*x)^2+2*cosh(c+d*x)^4)/d/(-1+%i*sinh(c+d*x))^4/(%i+sinh(c+d*x)) +--R +--R +--R (88) +--R 3 5 +--R (10%i cosh(d x + c) - 35%i cosh(d x + c))sinh(d x + c) + 2cosh(d x + c) +--R + +--R 3 +--R - 25cosh(d x + c) + 35cosh(d x + c) +--R / +--R 5 4 3 +--R 35d sinh(d x + c) + 175%i d sinh(d x + c) - 350d sinh(d x + c) +--R + +--R 2 +--R - 350%i d sinh(d x + c) + 175d sinh(d x + c) + 35%i d +--R Type: Expression Complex Integer +--E 102 + +--S 103 of 510 +a0020:= integrate(t0020,x) +--R +--R +--R (89) +--R 2 +--R - 140sinh(d x + c) + (- 280cosh(d x + c) - 88%i)sinh(d x + c) +--R + +--R 2 +--R - 140cosh(d x + c) - 80%i cosh(d x + c) + 28 +--R / +--R 6 5 +--R 35d sinh(d x + c) + (210d cosh(d x + c) + 245%i d)sinh(d x + c) +--R + +--R 2 4 +--R (525d cosh(d x + c) + 1225%i d cosh(d x + c) - 735d)sinh(d x + c) +--R + +--R 3 2 +--R 700d cosh(d x + c) + 2450%i d cosh(d x + c) - 2940d cosh(d x + c) +--R + +--R - 1225%i d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 525d cosh(d x + c) + 2450%i d cosh(d x + c) - 4410d cosh(d x + c) +--R + +--R - 3675%i d cosh(d x + c) + 1225d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 210d cosh(d x + c) + 1225%i d cosh(d x + c) - 2940d cosh(d x + c) +--R + +--R 2 +--R - 3675%i d cosh(d x + c) + 2450d cosh(d x + c) + 770%i d +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 35d cosh(d x + c) + 245%i d cosh(d x + c) - 735d cosh(d x + c) +--R + +--R 3 2 +--R - 1225%i d cosh(d x + c) + 1225d cosh(d x + c) + 700%i d cosh(d x + c) +--R + +--R - 245d +--R Type: Union(Expression Complex Integer,...) +--E 103 + +--S 104 of 510 +m0020:= a0020-r0020 +--R +--R +--R (90) +--R 3 7 +--R (- 10%i cosh(d x + c) + 35%i cosh(d x + c) - 140)sinh(d x + c) +--R + +--R 5 4 3 +--R - 2cosh(d x + c) - 60%i cosh(d x + c) + 95cosh(d x + c) +--R + +--R 2 +--R 210%i cosh(d x + c) - 560cosh(d x + c) - 788%i +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 12cosh(d x + c) - 164%i cosh(d x + c) + 500cosh(d x + c) +--R + +--R 3 2 +--R 910%i cosh(d x + c) - 1575cosh(d x + c) - 2460%i cosh(d x + c) + 1868 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R - 30cosh(d x + c) - 270%i cosh(d x + c) + 1117cosh(d x + c) +--R + +--R 4 3 2 +--R 2415%i cosh(d x + c) - 3850cosh(d x + c) - 4865%i cosh(d x + c) +--R + +--R 5160cosh(d x + c) + 2420%i +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 40cosh(d x + c) - 290%i cosh(d x + c) + 1368cosh(d x + c) +--R + +--R 5 4 3 +--R 3605%i cosh(d x + c) - 6300cosh(d x + c) - 8085%i cosh(d x + c) +--R + +--R 2 +--R 8015cosh(d x + c) + 6050%i cosh(d x + c) - 1860 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R - 30cosh(d x + c) - 200%i cosh(d x + c) + 977cosh(d x + c) +--R + +--R 6 5 4 +--R 3010%i cosh(d x + c) - 6020cosh(d x + c) - 8715%i cosh(d x + c) +--R + +--R 3 2 +--R 9180cosh(d x + c) + 7525%i cosh(d x + c) - 4195cosh(d x + c) - 860%i +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R - 12cosh(d x + c) - 80%i cosh(d x + c) + 388cosh(d x + c) +--R + +--R 7 6 5 +--R 1330%i cosh(d x + c) - 3045cosh(d x + c) - 4979%i cosh(d x + c) +--R + +--R 4 3 2 +--R 6115cosh(d x + c) + 5520%i cosh(d x + c) - 3850cosh(d x + c) +--R + +--R - 1695%i cosh(d x + c) + 228 +--R * +--R sinh(d x + c) +--R + +--R 11 10 9 +--R - 2cosh(d x + c) - 14%i cosh(d x + c) + 67cosh(d x + c) +--R + +--R 8 7 6 +--R 245%i cosh(d x + c) - 630cosh(d x + c) - 1160%i cosh(d x + c) +--R + +--R 5 4 3 +--R 1624cosh(d x + c) + 1725%i cosh(d x + c) - 1400cosh(d x + c) +--R + +--R 2 +--R - 840%i cosh(d x + c) + 325cosh(d x + c) + 28%i +--R / +--R 11 10 +--R 35d sinh(d x + c) + (210d cosh(d x + c) + 420%i d)sinh(d x + c) +--R + +--R 2 9 +--R (525d cosh(d x + c) + 2275%i d cosh(d x + c) - 2310d)sinh(d x + c) +--R + +--R 3 2 +--R 700d cosh(d x + c) + 5075%i d cosh(d x + c) - 11165d cosh(d x + c) +--R + +--R - 7700%i d +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 525d cosh(d x + c) + 5950%i d cosh(d x + c) - 21910d cosh(d x + c) +--R + +--R - 32725%i d cosh(d x + c) + 17325d +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 210d cosh(d x + c) + 3850%i d cosh(d x + c) - 22190d cosh(d x + c) +--R + +--R 2 +--R - 55475%i d cosh(d x + c) + 63525d cosh(d x + c) + 27755%i d +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 35d cosh(d x + c) + 1295%i d cosh(d x + c) - 12110d cosh(d x + c) +--R + +--R 3 2 +--R - 47425%i d cosh(d x + c) + 90825d cosh(d x + c) +--R + +--R 85435%i d cosh(d x + c) - 32515d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 6 5 +--R 175%i d cosh(d x + c) - 3325d cosh(d x + c) +--R + +--R 4 3 +--R - 21175%i d cosh(d x + c) + 63525d cosh(d x + c) +--R + +--R 2 +--R 99750%i d cosh(d x + c) - 80675d cosh(d x + c) - 28035%i d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 350d cosh(d x + c) - 4550%i d cosh(d x + c) +--R + +--R 4 3 +--R 22225d cosh(d x + c) + 54600%i d cosh(d x + c) +--R + +--R 2 +--R - 73500d cosh(d x + c) - 52815%i d cosh(d x + c) + 17500d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 350%i d cosh(d x + c) + 3500d cosh(d x + c) +--R + +--R 4 3 +--R 14000%i d cosh(d x + c) - 29400d cosh(d x + c) +--R + +--R 2 +--R - 35035%i d cosh(d x + c) + 22925d cosh(d x + c) + 7525%i d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 175d cosh(d x + c) + 1435%i d cosh(d x + c) - 4900d cosh(d x + c) +--R + +--R 3 2 +--R - 9065%i d cosh(d x + c) + 9800d cosh(d x + c) +--R + +--R 5950%i d cosh(d x + c) - 1995d +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 35%i d cosh(d x + c) - 245d cosh(d x + c) - 735%i d cosh(d x + c) +--R + +--R 3 2 +--R 1225d cosh(d x + c) + 1225%i d cosh(d x + c) - 700d cosh(d x + c) +--R + +--R - 245%i d +--R Type: Expression Complex Integer +--E 104 + +--S 105 of 510 +d0020:= D(m0020,x) +--R +--R +--R (91) +--R 2 15 +--R (- 30%i cosh(d x + c) + 35%i)sinh(d x + c) +--R + +--R 4 3 2 +--R - 10cosh(d x + c) - 360%i cosh(d x + c) + 525cosh(d x + c) +--R + +--R 420%i cosh(d x + c) +--R * +--R 14 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 120cosh(d x + c) - 2090%i cosh(d x + c) + 5880cosh(d x + c) +--R + +--R 2 +--R 6445%i cosh(d x + c) - 1750cosh(d x + c) + 2548%i +--R * +--R 13 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 650cosh(d x + c) - 7780%i cosh(d x + c) + 30405cosh(d x + c) +--R + +--R 3 2 +--R 50390%i cosh(d x + c) - 35315cosh(d x + c) + 7490%i cosh(d x + c) +--R + +--R - 17696 +--R * +--R 12 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R - 2080cosh(d x + c) - 20430%i cosh(d x + c) + 95500cosh(d x + c) +--R + +--R 4 3 +--R 216035%i cosh(d x + c) - 247030cosh(d x + c) +--R + +--R 2 +--R - 95018%i cosh(d x + c) - 76482cosh(d x + c) - 61320%i +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 4290cosh(d x + c) - 38720%i cosh(d x + c) + 199925cosh(d x + c) +--R + +--R 5 4 +--R 571320%i cosh(d x + c) - 909580cosh(d x + c) +--R + +--R 3 2 +--R - 749210%i cosh(d x + c) + 114153cosh(d x + c) +--R + +--R - 266602%i cosh(d x + c) + 130074 +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R - 5720cosh(d x + c) - 51370%i cosh(d x + c) + 282700cosh(d x + c) +--R + +--R 6 5 +--R 974565%i cosh(d x + c) - 2010540cosh(d x + c) +--R + +--R 4 3 +--R - 2447850%i cosh(d x + c) + 1491790cosh(d x + c) +--R + +--R 2 +--R - 22890%i cosh(d x + c) + 517188cosh(d x + c) + 174202%i +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R - 4290cosh(d x + c) - 41580%i cosh(d x + c) + 245685cosh(d x + c) +--R + +--R 7 6 +--R 1023090%i cosh(d x + c) - 2694475cosh(d x + c) +--R + +--R 5 4 +--R - 4406852%i cosh(d x + c) + 4321335cosh(d x + c) +--R + +--R 3 2 +--R 2007880%i cosh(d x + c) + 235547cosh(d x + c) +--R + +--R 578578%i cosh(d x + c) - 127918 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 10 9 +--R - 5610%i cosh(d x + c) + 56760cosh(d x + c) +--R + +--R 8 7 +--R 432705%i cosh(d x + c) - 1772540cosh(d x + c) +--R + +--R 6 5 +--R - 4118120%i cosh(d x + c) + 5806024cosh(d x + c) +--R + +--R 4 3 +--R 4807440%i cosh(d x + c) - 1787962cosh(d x + c) +--R + +--R 2 +--R 202762%i cosh(d x + c) - 257880cosh(d x + c) + 7084%i +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 4290cosh(d x + c) + 35640%i cosh(d x + c) - 179025cosh(d x + c) +--R + +--R 9 8 +--R - 509980%i cosh(d x + c) + 664160cosh(d x + c) +--R + +--R 7 6 +--R - 167048%i cosh(d x + c) + 1989078cosh(d x + c) +--R + +--R 5 4 +--R 3237820%i cosh(d x + c) - 2502618cosh(d x + c) +--R + +--R 3 2 +--R - 837102%i cosh(d x + c) + 179473cosh(d x + c) +--R + +--R 265118%i cosh(d x + c) - 137900 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 13 12 11 +--R 5720cosh(d x + c) + 54450%i cosh(d x + c) - 303600cosh(d x + c) +--R + +--R 10 9 +--R - 1134465%i cosh(d x + c) + 2842210cosh(d x + c) +--R + +--R 8 7 +--R 4873820%i cosh(d x + c) - 5876472cosh(d x + c) +--R + +--R 6 5 +--R - 5074732%i cosh(d x + c) + 3233082cosh(d x + c) +--R + +--R 4 3 +--R 1577842%i cosh(d x + c) - 320320cosh(d x + c) +--R + +--R 2 +--R 530658%i cosh(d x + c) - 578718cosh(d x + c) - 174811%i +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 14 13 12 +--R 4290cosh(d x + c) + 44740%i cosh(d x + c) - 264825cosh(d x + c) +--R + +--R 11 10 +--R - 1092230%i cosh(d x + c) + 3216535cosh(d x + c) +--R + +--R 9 8 +--R 6883590%i cosh(d x + c) - 10987270cosh(d x + c) +--R + +--R 7 6 +--R - 13364640%i cosh(d x + c) + 12505620cosh(d x + c) +--R + +--R 5 4 +--R 8924370%i cosh(d x + c) - 4528885cosh(d x + c) +--R + +--R 3 2 +--R - 1082750%i cosh(d x + c) - 493990cosh(d x + c) +--R + +--R - 511252%i cosh(d x + c) + 123578 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 15 14 13 +--R 2080cosh(d x + c) + 23510%i cosh(d x + c) - 146820cosh(d x + c) +--R + +--R 12 11 +--R - 646855%i cosh(d x + c) + 2102450cosh(d x + c) +--R + +--R 10 9 +--R 5116930%i cosh(d x + c) - 9504470cosh(d x + c) +--R + +--R 8 7 +--R - 13725640%i cosh(d x + c) + 15572570cosh(d x + c) +--R + +--R 6 5 +--R 13854610%i cosh(d x + c) - 9453408cosh(d x + c) +--R + +--R 4 3 +--R - 4575200%i cosh(d x + c) + 1154860cosh(d x + c) +--R + +--R 2 +--R - 210628%i cosh(d x + c) + 261282cosh(d x + c) + 54425%i +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 16 15 14 +--R 650cosh(d x + c) + 7920%i cosh(d x + c) - 52145cosh(d x + c) +--R + +--R 13 12 +--R - 242560%i cosh(d x + c) + 849100cosh(d x + c) +--R + +--R 11 10 +--R 2274770%i cosh(d x + c) - 4732575cosh(d x + c) +--R + +--R 9 8 +--R - 7767650%i cosh(d x + c) + 10177000cosh(d x + c) +--R + +--R 7 6 +--R 10681650%i cosh(d x + c) - 8914185cosh(d x + c) +--R + +--R 5 4 +--R - 5761206%i cosh(d x + c) + 2683390cosh(d x + c) +--R + +--R 3 2 +--R 724468%i cosh(d x + c) + 12103cosh(d x + c) + 75880%i cosh(d x + c) +--R + +--R - 14210 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 17 16 15 +--R 120cosh(d x + c) + 1570%i cosh(d x + c) - 10900cosh(d x + c) +--R + +--R 14 13 +--R - 53265%i cosh(d x + c) + 198240cosh(d x + c) +--R + +--R 12 11 +--R 574250%i cosh(d x + c) - 1311110cosh(d x + c) +--R + +--R 10 9 +--R - 2390890%i cosh(d x + c) + 3523810cosh(d x + c) +--R + +--R 8 7 +--R 4226600%i cosh(d x + c) - 4123512cosh(d x + c) +--R + +--R 6 5 +--R - 3239182%i cosh(d x + c) + 1995050cosh(d x + c) +--R + +--R 4 3 +--R 906607%i cosh(d x + c) - 261898cosh(d x + c) +--R + +--R 2 +--R - 23975%i cosh(d x + c) - 9800cosh(d x + c) - 1715%i +--R * +--R sinh(d x + c) +--R + +--R 18 17 16 +--R 10cosh(d x + c) + 140%i cosh(d x + c) - 1025cosh(d x + c) +--R + +--R 15 14 13 +--R - 5250%i cosh(d x + c) + 20615cosh(d x + c) + 63820%i cosh(d x + c) +--R + +--R 12 11 +--R - 157745cosh(d x + c) - 314840%i cosh(d x + c) +--R + +--R 10 9 8 +--R 513065cosh(d x + c) + 688520%i cosh(d x + c) - 763605cosh(d x + c) +--R + +--R 7 6 +--R - 697802%i cosh(d x + c) + 519732cosh(d x + c) +--R + +--R 5 4 3 +--R 307552%i cosh(d x + c) - 137907cosh(d x + c) - 42140%i cosh(d x + c) +--R + +--R 2 +--R 6860cosh(d x + c) +--R / +--R 18 17 +--R 35sinh(d x + c) + (420cosh(d x + c) + 700%i)sinh(d x + c) +--R + +--R 2 16 +--R (2310cosh(d x + c) + 7910%i cosh(d x + c) - 6650)sinh(d x + c) +--R + +--R 3 2 +--R 7700cosh(d x + c) + 40810%i cosh(d x + c) - 70490cosh(d x + c) +--R + +--R - 39900%i +--R * +--R 15 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 17325cosh(d x + c) + 127050%i cosh(d x + c) - 339675cosh(d x + c) +--R + +--R - 395010%i cosh(d x + c) + 169575 +--R * +--R 14 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 27720cosh(d x + c) + 265650%i cosh(d x + c) - 982800cosh(d x + c) +--R + +--R 2 +--R - 1769040%i cosh(d x + c) + 1560090cosh(d x + c) + 542710%i +--R * +--R 13 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 32340cosh(d x + c) + 392700%i cosh(d x + c) - 1898925cosh(d x + c) +--R + +--R 3 2 +--R - 4730110%i cosh(d x + c) + 6456345cosh(d x + c) +--R + +--R 4612790%i cosh(d x + c) - 1357510 +--R * +--R 12 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R 27720cosh(d x + c) + 420420%i cosh(d x + c) - 2576700cosh(d x + c) +--R + +--R 4 3 +--R - 8390340%i cosh(d x + c) + 15848420cosh(d x + c) +--R + +--R 2 +--R 17522190%i cosh(d x + c) - 10585540cosh(d x + c) - 2718590%i +--R * +--R 11 +--R sinh(d x + c) +--R + +--R 8 7 6 +--R 17325cosh(d x + c) + 328020%i cosh(d x + c) - 2512230cosh(d x + c) +--R + +--R 5 4 +--R - 10371060%i cosh(d x + c) + 25610515cosh(d x + c) +--R + +--R 3 2 +--R 39179910%i cosh(d x + c) - 36613010cosh(d x + c) +--R + +--R - 19284790%i cosh(d x + c) + 4428060 +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 9 8 7 +--R 7700cosh(d x + c) + 184800%i cosh(d x + c) - 1768200cosh(d x + c) +--R + +--R 6 5 +--R - 9125760%i cosh(d x + c) + 28576100cosh(d x + c) +--R + +--R 4 3 +--R 57151850%i cosh(d x + c) - 73877300cosh(d x + c) +--R + +--R 2 +--R - 60145190%i cosh(d x + c) + 28280980cosh(d x + c) + 5923190%i +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 10 9 8 +--R 2310cosh(d x + c) + 73150%i cosh(d x + c) - 888300cosh(d x + c) +--R + +--R 7 6 +--R - 5731740%i cosh(d x + c) + 22447390cosh(d x + c) +--R + +--R 5 4 +--R 56935620%i cosh(d x + c) - 96198550cosh(d x + c) +--R + +--R 3 2 +--R - 108267810%i cosh(d x + c) + 78585570cosh(d x + c) +--R + +--R 33629050%i cosh(d x + c) - 6536565 +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 11 10 9 +--R 420cosh(d x + c) + 19250%i cosh(d x + c) - 309050cosh(d x + c) +--R + +--R 8 7 +--R - 2533860%i cosh(d x + c) + 12414920cosh(d x + c) +--R + +--R 6 5 +--R 39395160%i cosh(d x + c) - 84413210cosh(d x + c) +--R + +--R 4 3 +--R - 124124490%i cosh(d x + c) + 124418980cosh(d x + c) +--R + +--R 2 +--R 82027610%i cosh(d x + c) - 32472370cosh(d x + c) - 5948880%i +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 35cosh(d x + c) + 3010%i cosh(d x + c) - 70175cosh(d x + c) +--R + +--R 9 8 +--R - 762090%i cosh(d x + c) + 4749745cosh(d x + c) +--R + +--R 7 6 +--R 18867100%i cosh(d x + c) - 50586725cosh(d x + c) +--R + +--R 5 4 +--R - 94313100%i cosh(d x + c) + 123418120cosh(d x + c) +--R + +--R 3 2 +--R 112186830%i cosh(d x + c) - 68234355cosh(d x + c) +--R + +--R - 25347630%i cosh(d x + c) + 4439435 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 12 11 +--R 210%i cosh(d x + c) - 9240cosh(d x + c) +--R + +--R 10 9 +--R - 146160%i cosh(d x + c) + 1208690cosh(d x + c) +--R + +--R 8 7 +--R 6113310%i cosh(d x + c) - 20527920cosh(d x + c) +--R + +--R 6 5 +--R - 47891270%i cosh(d x + c) + 79421790cosh(d x + c) +--R + +--R 4 3 +--R 94134530%i cosh(d x + c) - 78761760cosh(d x + c) +--R + +--R 2 +--R - 44788800%i cosh(d x + c) + 15811250cosh(d x + c) + 2683450%i +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 12 11 +--R - 525cosh(d x + c) - 15750%i cosh(d x + c) +--R + +--R 10 9 +--R 190225cosh(d x + c) + 1278550%i cosh(d x + c) +--R + +--R 8 7 +--R - 5471025cosh(d x + c) - 15990100%i cosh(d x + c) +--R + +--R 6 5 +--R 33176535cosh(d x + c) + 49791700%i cosh(d x + c) +--R + +--R 4 3 +--R - 54226200cosh(d x + c) - 42292250%i cosh(d x + c) +--R + +--R 2 +--R 22749265cosh(d x + c) + 7717570%i cosh(d x + c) - 1286040 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 12 11 +--R - 700%i cosh(d x + c) + 16100cosh(d x + c) +--R + +--R 10 9 +--R 158410%i cosh(d x + c) - 901950cosh(d x + c) +--R + +--R 8 7 +--R - 3361400%i cosh(d x + c) + 8738240cosh(d x + c) +--R + +--R 6 5 +--R 16400440%i cosh(d x + c) - 22588650cosh(d x + c) +--R + +--R 4 3 +--R - 22877750%i cosh(d x + c) + 16813860cosh(d x + c) +--R + +--R 2 +--R 8642830%i cosh(d x + c) - 2845360cosh(d x + c) - 471590%i +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 525cosh(d x + c) + 9870%i cosh(d x + c) - 82425cosh(d x + c) +--R + +--R 9 8 +--R - 409150%i cosh(d x + c) + 1356810cosh(d x + c) +--R + +--R 7 6 +--R 3190320%i cosh(d x + c) - 5491045cosh(d x + c) +--R + +--R 5 4 +--R - 7021560%i cosh(d x + c) + 6681640cosh(d x + c) +--R + +--R 3 2 +--R 4671170%i cosh(d x + c) - 2315040cosh(d x + c) +--R + +--R - 745850%i cosh(d x + c) + 124495 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 12 11 10 +--R 210%i cosh(d x + c) - 3360cosh(d x + c) - 24500%i cosh(d x + c) +--R + +--R 9 8 7 +--R 108290cosh(d x + c) + 324870%i cosh(d x + c) - 700280cosh(d x + c) +--R + +--R 6 5 +--R - 1117830%i cosh(d x + c) + 1340150cosh(d x + c) +--R + +--R 4 3 +--R 1208830%i cosh(d x + c) - 810460cosh(d x + c) +--R + +--R 2 +--R - 390250%i cosh(d x + c) + 123900cosh(d x + c) + 21070%i +--R * +--R sinh(d x + c) +--R + +--R 12 11 10 +--R - 35cosh(d x + c) - 490%i cosh(d x + c) + 3185cosh(d x + c) +--R + +--R 9 8 7 +--R 12740%i cosh(d x + c) - 35035cosh(d x + c) - 70000%i cosh(d x + c) +--R + +--R 6 5 4 +--R 104615cosh(d x + c) + 118580%i cosh(d x + c) - 102165cosh(d x + c) +--R + +--R 3 2 +--R - 66150%i cosh(d x + c) + 31150cosh(d x + c) + 9800%i cosh(d x + c) +--R + +--R - 1715 +--R Type: Expression Complex Integer +--E 105 + +--S 106 of 510 +t0021:= (a+b*sinh(c+d*x))^(1/2) +--R +--R +--R +-------------------+ +--R (92) \|b sinh(d x + c) + a +--R Type: Expression Integer +--E 106 + +--S 107 of 510 +r0021:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(c+d*x),2*%i*b/(a-%i*b))*(a+b*sinh(c+d*x))^(1/2)/d/((a+b*sinh(c+d*x))/(a-%i*b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R Fraction Polynomial Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 107 + +--S 108 of 510 +a0021:= integrate(t0021,x) +--R +--R +--R x +--R ++ +--------------------+ +--R (93) | \|b sinh(%N d + c) + a d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 510 +m0021:= a0021-r0021 +--R +--R +--R x +--R ++ +--------------------+ +--R (94) | \|b sinh(%N d + c) + a d%N - r0021 +--R ++ +--R Type: Expression Integer +--E 109 + +--S 110 of 510 +d0021:= D(m0021,x) +--R +--R +--R +-------------------+ +--R (95) \|b sinh(d x + c) + a +--R Type: Expression Integer +--E 110 + +--S 111 of 510 +t0022:= (a+b*sinh(x))^(3/2) +--R +--R +--R +-------------+ +--R (96) (b sinh(x) + a)\|b sinh(x) + a +--R Type: Expression Integer +--E 111 + +--S 112 of 510 +r0022:= -2/3*(-4*a*EllipticE(-1/4*%pi+1/2*x,2*b/(a+b))+a*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b))+b*cosh(x)*((a+b*sinh(x))/(a+b))^(1/2)-b*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b)))*(a+b*sinh(x))^(1/2)/((a+b*sinh(x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 112 + +--S 113 of 510 +a0022:= integrate(t0022,x) +--R +--R +--R x +--R ++ +--------------+ +--R (97) | (b sinh(%N) + a)\|b sinh(%N) + a d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 510 +m0022:= a0022-r0022 +--R +--R +--R x +--R ++ +--------------+ +--R (98) | (b sinh(%N) + a)\|b sinh(%N) + a d%N - r0022 +--R ++ +--R Type: Expression Integer +--E 114 + +--S 115 of 510 +d0022:= D(m0022,x) +--R +--R +--R +-------------+ +--R (99) (b sinh(x) + a)\|b sinh(x) + a +--R Type: Expression Integer +--E 115 + +--S 116 of 510 +t0023:= 1/(a+b*sinh(x))^(1/2) +--R +--R +--R 1 +--R (100) ---------------- +--R +-------------+ +--R \|b sinh(x) + a +--R Type: Expression Integer +--E 116 + +--S 117 of 510 +r0023:= -2*%i*EllipticF(-1/4*%pi+1/2*%i*x,2*%i*b/(a-%i*b))*((a+b*sinh(x))/(a-%i*b))^(1/2)/(a+b*sinh(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Integer +--R Fraction Polynomial Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 117 + +--S 118 of 510 +a0023:= integrate(t0023,x) +--R +--R +--R x +--R ++ 1 +--R (101) | ----------------- d%N +--R ++ +--------------+ +--R \|b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 510 +m0023:= a0023-r0023 +--R +--R +--R x +--R ++ 1 +--R (102) | ----------------- d%N - r0023 +--R ++ +--------------+ +--R \|b sinh(%N) + a +--R Type: Expression Integer +--E 119 + +--S 120 of 510 +d0023:= D(m0023,x) +--R +--R +--R 1 +--R (103) ---------------- +--R +-------------+ +--R \|b sinh(x) + a +--R Type: Expression Integer +--E 120 + +--S 121 of 510 +t0024:= 1/(a+b*sinh(x))^(3/2) +--R +--R +--R 1 +--R (104) ------------------------------- +--R +-------------+ +--R (b sinh(x) + a)\|b sinh(x) + a +--R Type: Expression Integer +--E 121 + +--S 122 of 510 +r0024:= -2*b*cosh(x)/(a^2+b^2)/(a+b*sinh(x))^(1/2)-2*%i*EllipticE(-1/4*%pi+1/2*%i*x,2*%i*b/(a-%i*b))*(a+b*sinh(x))^(1/2)/(a^2+b^2)/((a+b*sinh(x))/(a-%i*b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R Fraction Polynomial Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 122 + +--S 123 of 510 +a0024:= integrate(t0024,x) +--R +--R +--R x +--R ++ 1 +--R (105) | --------------------------------- d%N +--R ++ +--------------+ +--R (b sinh(%N) + a)\|b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 510 +m0024:= a0024-r0024 +--R +--R +--R x +--R ++ 1 +--R (106) | --------------------------------- d%N - r0024 +--R ++ +--------------+ +--R (b sinh(%N) + a)\|b sinh(%N) + a +--R Type: Expression Integer +--E 124 + +--S 125 of 510 +d0024:= D(m0024,x) +--R +--R +--R 1 +--R (107) ------------------------------- +--R +-------------+ +--R (b sinh(x) + a)\|b sinh(x) + a +--R Type: Expression Integer +--E 125 + +--S 126 of 510 +t0025:= 1/(a+b*sinh(x))^(5/2) +--R +--R +--R 1 +--R (108) ------------------------------------------------ +--R 2 2 2 +-------------+ +--R (b sinh(x) + 2a b sinh(x) + a )\|b sinh(x) + a +--R Type: Expression Integer +--E 126 + +--S 127 of 510 +r0025:= -2/3*b*cosh(x)/(a^2+b^2)/(a+b*sinh(x))^(3/2)-8/3*a*b*cosh(x)/(a^2+b^2)^2/(a+b*sinh(x))^(1/2)-8/3*%i*a*EllipticE(-1/4*%pi+1/2*%i*x,2*%i*b/(a-%i*b))*(a+b*sinh(x))^(1/2)/(a^2+b^2)^2/((a+b*sinh(x))/(a-%i*b))^(1/2)+2/3*%i*EllipticF(-1/4*%pi+1/2*%i*x,2*%i*b/(a-%i*b))*((a+b*sinh(x))/(a-%i*b))^(1/2)/(a^2+b^2)/(a+b*sinh(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R Fraction Polynomial Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 127 + +--S 128 of 510 +a0025:= integrate(t0025,x) +--R +--R +--R x +--R ++ 1 +--R (109) | --------------------------------------------------- d%N +--R ++ 2 2 2 +--------------+ +--R (b sinh(%N) + 2a b sinh(%N) + a )\|b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 510 +m0025:= a0025-r0025 +--R +--R +--R (110) +--R x +--R ++ 1 +--R | --------------------------------------------------- d%N - r0025 +--R ++ 2 2 2 +--------------+ +--R (b sinh(%N) + 2a b sinh(%N) + a )\|b sinh(%N) + a +--R Type: Expression Integer +--E 129 + +--S 130 of 510 +d0025:= D(m0025,x) +--R +--R +--R 1 +--R (111) ------------------------------------------------ +--R 2 2 2 +-------------+ +--R (b sinh(x) + 2a b sinh(x) + a )\|b sinh(x) + a +--R Type: Expression Integer +--E 130 + +--S 131 of 510 +t0026:= (a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R +----------------------+ +--R (112) \|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 131 + +--S 132 of 510 +r0026:= 2*%i*a*cosh(c+d*x)/d/(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2%i a cosh(d x + c) +--R (113) -------------------------- +--R +----------------------+ +--R d\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 132 + +--S 133 of 510 +a0026:= integrate(t0026,x) +--R +--R +--R (114) +--R %i a sinh(d x + c) + %i a cosh(d x + c) - a +--R --------------------------------------------------------------------- +--R +-------------------------------+ +--R | %i a +--R (d sinh(d x + c) + d cosh(d x + c)) |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 133 + +--S 134 of 510 +m0026:= a0026-r0026 +--R +--R +--R (115) +--R +----------------------+ +--R (%i a sinh(d x + c) + %i a cosh(d x + c) - a)\|%i a sinh(d x + c) + a +--R + +--R 2 +--R (- 2%i a cosh(d x + c)sinh(d x + c) - 2%i a cosh(d x + c) ) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R +-------------------------------+ +--R | %i a +--R (d sinh(d x + c) + d cosh(d x + c)) |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 134 + +--S 135 of 510 +d0026:= D(m0026,x) +--R +--R +--R (116) +--R 2 +--R %i a sinh(d x + c) + (%i a cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R a cosh(d x + c) - %i a +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 3 2 +--R - 4%i a sinh(d x + c) + (- 4%i a cosh(d x + c) - 4a)sinh(d x + c) +--R + +--R 2 +--R (2%i a cosh(d x + c) - 4a cosh(d x + c))sinh(d x + c) +--R + +--R 3 +--R 2%i a cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 +--R 2sinh(d x + c) + (2cosh(d x + c) - 2%i)sinh(d x + c) +--R + +--R - 2%i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +----------------------+ +--R |------------------------------- \|%i a sinh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Complex Integer +--E 135 + +--S 136 of 510 +t0027:= (a+%i*a*sinh(c+d*x))^(3/2) +--R +--R +--R +----------------------+ +--R (117) (%i a sinh(d x + c) + a)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 136 + +--S 137 of 510 +r0027:= 2/3*%i*a^2*cosh(c+d*x)*(5+%i*sinh(c+d*x))/(a*(1+%i*sinh(c+d*x)))^(1/2)/d +--R +--R +--R - 2cosh(d x + c)sinh(d x + c) + 10%i cosh(d x + c) 2 +--R (118) -------------------------------------------------- a +--R +----------------------+ +--R 3d\|%i a sinh(d x + c) + a +--R Type: UnivariatePolynomial(a,Expression Complex Integer) +--E 137 + +--S 138 of 510 +a0027:= integrate(t0027,x) +--R +--R +--R (119) +--R 2 3 2 2 2 +--R - a sinh(d x + c) + (- 3a cosh(d x + c) + 9%i a )sinh(d x + c) +--R + +--R 2 2 2 2 +--R (- 3a cosh(d x + c) + 18%i a cosh(d x + c) - 9a )sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R - a cosh(d x + c) + 9%i a cosh(d x + c) - 9a cosh(d x + c) + %i a +--R / +--R 2 2 +--R (6d sinh(d x + c) + 12d cosh(d x + c)sinh(d x + c) + 6d cosh(d x + c) ) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 138 + +--S 139 of 510 +m0027:= a0027-r0027 +--R +--R +--R (120) +--R 3 2 +--R - sinh(d x + c) + (- 3cosh(d x + c) + 9%i)sinh(d x + c) +--R + +--R 2 +--R (- 3cosh(d x + c) + 18%i cosh(d x + c) - 9)sinh(d x + c) +--R + +--R 3 2 +--R - cosh(d x + c) + 9%i cosh(d x + c) - 9cosh(d x + c) + %i +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 3 +--R 4cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (8cosh(d x + c) - 20%i cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 +--R (4cosh(d x + c) - 40%i cosh(d x + c) )sinh(d x + c) +--R + +--R 3 +--R - 20%i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 +--R 6d sinh(d x + c) + 12d cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 6d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +----------------------+ +--R |------------------------------- \|%i a sinh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R * +--R 2 +--R a +--R Type: UnivariatePolynomial(a,Expression Complex Integer) +--E 139 + +--S 140 of 510 +d0027:= D(m0027,x) +--R +--R +--R (121) +--R 4 3 +--R - 3sinh(d x + c) + (- 9cosh(d x + c) + 12%i)sinh(d x + c) +--R + +--R 2 2 +--R (- 9cosh(d x + c) + 27%i cosh(d x + c) + 18)sinh(d x + c) +--R + +--R 3 2 +--R - 3cosh(d x + c) + 18%i cosh(d x + c) + 27cosh(d x + c) +--R + +--R - 12%i +--R * +--R sinh(d x + c) +--R + +--R 3 2 +--R 3%i cosh(d x + c) + 9cosh(d x + c) - 9%i cosh(d x + c) - 3 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 5 4 +--R 8sinh(d x + c) + (16cosh(d x + c) - 48%i)sinh(d x + c) +--R + +--R 2 3 +--R (12cosh(d x + c) - 96%i cosh(d x + c) - 40)sinh(d x + c) +--R + +--R 3 2 +--R (8cosh(d x + c) - 36%i cosh(d x + c) - 80cosh(d x + c)) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R (4cosh(d x + c) + 24%i cosh(d x + c) - 40cosh(d x + c) ) +--R * +--R sinh(d x + c) +--R + +--R 4 +--R 12%i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 3 2 +--R 12sinh(d x + c) + (24cosh(d x + c) - 12%i)sinh(d x + c) +--R + +--R 2 +--R (12cosh(d x + c) - 24%i cosh(d x + c))sinh(d x + c) +--R + +--R 2 +--R - 12%i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +----------------------+ +--R |------------------------------- \|%i a sinh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R * +--R 2 +--R a +--R + +--R 3 2 +--R - sinh(d x + c) + (- 3cosh(d x + c) + 9%i)sinh(d x + c) +--R + +--R 2 +--R (- 3cosh(d x + c) + 18%i cosh(d x + c) - 9)sinh(d x + c) +--R + +--R 3 2 +--R - cosh(d x + c) + 9%i cosh(d x + c) - 9cosh(d x + c) + %i +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 3 +--R 4cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (8cosh(d x + c) - 20%i cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 +--R (4cosh(d x + c) - 40%i cosh(d x + c) )sinh(d x + c) +--R + +--R 3 +--R - 20%i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 +--R 3d sinh(d x + c) + 6d cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 3d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +----------------------+ +--R |------------------------------- \|%i a sinh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R * +--R a +--R Type: UnivariatePolynomial(a,Expression Complex Integer) +--E 140 + +--S 141 of 510 +t0028:= (a+%i*a*sinh(c+d*x))^(5/2) +--R +--R +--R (122) +--R 2 2 2 2 +----------------------+ +--R (- a sinh(d x + c) + 2%i a sinh(d x + c) + a )\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 141 + +--S 142 of 510 +r0028:= -2/15*%i*cosh(c+d*x)*(-46-14*%i*sinh(c+d*x)+3*cosh(c+d*x)^2)*a^3/(a*(1+%i*sinh(c+d*x)))^(1/2)/d +--R +--R +--R (123) +--R 28 3 2 3 3 +--R - -- a cosh(d x + c)sinh(d x + c) - - %i a cosh(d x + c) +--R 15 5 +--R + +--R 92 3 +--R -- %i a cosh(d x + c) +--R 15 +--R / +--R +----------------------+ +--R d\|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 142 + +--S 143 of 510 +a0028:= integrate(t0028,x) +--R +--R +--R (124) +--R 3 5 3 3 4 +--R - 3%i a sinh(d x + c) + (- 15%i a cosh(d x + c) - 25a )sinh(d x + c) +--R + +--R 3 2 3 3 3 +--R (- 30%i a cosh(d x + c) - 100a cosh(d x + c) + 150%i a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R - 30%i a cosh(d x + c) - 150a cosh(d x + c) + 450%i a cosh(d x + c) +--R + +--R 3 +--R - 150a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 4 3 3 +--R - 15%i a cosh(d x + c) - 100a cosh(d x + c) +--R + +--R 3 2 3 3 +--R 450%i a cosh(d x + c) - 300a cosh(d x + c) + 25%i a +--R * +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R - 3%i a cosh(d x + c) - 25a cosh(d x + c) + 150%i a cosh(d x + c) +--R + +--R 3 2 3 3 +--R - 150a cosh(d x + c) + 25%i a cosh(d x + c) + 3a +--R / +--R 3 2 +--R 60d sinh(d x + c) + 180d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 180d cosh(d x + c) sinh(d x + c) + 60d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 143 + +--S 144 of 510 +m0028:= a0028-r0028 +--R +--R +--R (125) +--R 1 3 5 +--R - -- %i a sinh(d x + c) +--R 20 +--R + +--R 1 3 5 3 4 +--R (- - %i a cosh(d x + c) - -- a )sinh(d x + c) +--R 4 12 +--R + +--R 1 3 2 5 3 5 3 3 +--R (- - %i a cosh(d x + c) - - a cosh(d x + c) + - %i a )sinh(d x + c) +--R 2 3 2 +--R + +--R 1 3 3 5 3 2 +--R - - %i a cosh(d x + c) - - a cosh(d x + c) +--R 2 2 +--R + +--R 15 3 5 3 +--R -- %i a cosh(d x + c) - - a +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 3 4 5 3 3 +--R - - %i a cosh(d x + c) - - a cosh(d x + c) +--R 4 3 +--R + +--R 15 3 2 3 5 3 +--R -- %i a cosh(d x + c) - 5a cosh(d x + c) + -- %i a +--R 2 12 +--R * +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 +--R - -- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 20 12 +--R + +--R 5 3 3 5 3 2 5 3 +--R - %i a cosh(d x + c) - - a cosh(d x + c) + -- %i a cosh(d x + c) +--R 2 2 12 +--R + +--R 1 3 +--R -- a +--R 20 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 28 3 4 +--R -- a cosh(d x + c)sinh(d x + c) +--R 15 +--R + +--R 2 3 3 28 3 2 +--R - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 92 3 +--R - -- %i a cosh(d x + c) +--R 15 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 3 4 28 3 3 +--R - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 92 3 2 +--R - -- %i a cosh(d x + c) +--R 5 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 3 5 28 3 4 +--R - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 15 +--R + +--R 92 3 3 +--R - -- %i a cosh(d x + c) +--R 5 +--R * +--R sinh(d x + c) +--R + +--R 2 3 6 92 3 4 +--R - %i a cosh(d x + c) - -- %i a cosh(d x + c) +--R 5 15 +--R * +--R +-----------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |----------------------------- +--R \|sinh(d x + c) + cosh(d x + c) +--R / +--R 3 2 +--R d sinh(d x + c) + 3d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 3d cosh(d x + c) sinh(d x + c) + d cosh(d x + c) +--R * +--R +-----------------------------+ +--R | 1 +--R | - %i a +--R | 2 +----------------------+ +--R |----------------------------- \|%i a sinh(d x + c) + a +--R \|sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 144 + +--S 145 of 510 +d0028:= D(m0028,x) +--R +--R +--R (126) +--R 1 3 6 +--R - - %i a sinh(d x + c) +--R 8 +--R + +--R 5 3 3 3 5 +--R (- - %i a cosh(d x + c) - - a )sinh(d x + c) +--R 8 4 +--R + +--R 5 3 2 25 3 15 3 +--R (- - %i a cosh(d x + c) - -- a cosh(d x + c) + -- %i a ) +--R 4 8 8 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 3 3 3 2 +--R - - %i a cosh(d x + c) - 5a cosh(d x + c) +--R 4 +--R + +--R 25 3 5 3 +--R -- %i a cosh(d x + c) + - a +--R 4 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 3 4 15 3 3 +--R - - %i a cosh(d x + c) - -- a cosh(d x + c) +--R 8 4 +--R + +--R 15 3 2 25 3 15 3 +--R -- %i a cosh(d x + c) + -- a cosh(d x + c) - -- %i a +--R 2 4 8 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 +--R - - %i a cosh(d x + c) - - a cosh(d x + c) +--R 8 4 +--R + +--R 15 3 3 3 2 +--R -- %i a cosh(d x + c) + 5a cosh(d x + c) +--R 4 +--R + +--R 25 3 3 3 +--R - -- %i a cosh(d x + c) - - a +--R 8 4 +--R * +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 5 3 3 +--R - - a cosh(d x + c) + - %i a cosh(d x + c) + - a cosh(d x + c) +--R 8 8 4 +--R + +--R 5 3 2 5 3 1 3 +--R - - %i a cosh(d x + c) - - a cosh(d x + c) + - %i a +--R 4 8 8 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 28 3 6 +--R -- a sinh(d x + c) +--R 15 +--R + +--R 6 3 2 28 3 3 5 +--R (- %i a cosh(d x + c) + -- a cosh(d x + c) - 8%i a )sinh(d x + c) +--R 5 5 +--R + +--R 18 3 3 116 3 2 +--R -- %i a cosh(d x + c) + --- a cosh(d x + c) +--R 5 15 +--R + +--R 3 92 3 +--R - 24%i a cosh(d x + c) - -- a +--R 15 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 17 3 4 124 3 3 +--R -- %i a cosh(d x + c) + --- a cosh(d x + c) +--R 5 15 +--R + +--R 114 3 2 92 3 +--R - --- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 5 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 3 5 32 3 4 +--R - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 22 3 3 92 3 2 +--R - -- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 5 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 3 6 32 3 5 +--R - - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 15 +--R + +--R 18 3 4 92 3 3 +--R -- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 15 +--R * +--R sinh(d x + c) +--R + +--R 1 3 7 6 3 5 +--R - - %i a cosh(d x + c) + - %i a cosh(d x + c) +--R 5 5 +--R * +--R +-----------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |----------------------------- +--R \|sinh(d x + c) + cosh(d x + c) +--R / +--R 4 3 +--R sinh(d x + c) + (3cosh(d x + c) - %i)sinh(d x + c) +--R + +--R 2 2 +--R (3cosh(d x + c) - 3%i cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 3 +--R (cosh(d x + c) - 3%i cosh(d x + c) )sinh(d x + c) - %i cosh(d x + c) +--R * +--R +-----------------------------+ +--R | 1 +--R | - %i a +--R | 2 +----------------------+ +--R |----------------------------- \|%i a sinh(d x + c) + a +--R \|sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 145 + +--S 146 of 510 +t0029:= 1/(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 1 +--R (127) ------------------------- +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 146 + +--S 147 of 510 +r0029:= 2*atan(sinh(1/2*c+1/4*%i*%pi+1/2*d*x))*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/d/(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2cosh(------------------)atan(sinh(------------------)) +--R 4 4 +--R (128) ------------------------------------------------------- +--R +----------------------+ +--R d\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 147 + +--S 148 of 510 +a0029:= integrate(t0029,x) +--R +--R +--R (129) +--R [ +--R +-+ +--R |2 +--R %i |- +--R \|a +--R * +--R log +--R +-+ +--R |2 +--R (- 2sinh(d x + c) - 2cosh(d x + c)) |- +--R \|a +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) - %i +--R / +--R sinh(d x + c) + cosh(d x + c) - %i +--R / +--R d +--R , +--R +-------------------------------+ +--R | %i a +--R +-+ 2%i |------------------------------- +--R |2 \|2sinh(d x + c) + 2cosh(d x + c) +--R 2 |- atan(-------------------------------------) +--R \|a +-+ +--R |2 +--R a |- +--R \|a +--R ------------------------------------------------] +--R d +--R Type: Union(List Expression Complex Integer,...) +--E 148 + +--S 149 of 510 +m0029a:= a0029.1-r0029 +--R +--R +--R (130) +--R +-+ +--R |2 +----------------------+ +--R %i |- \|%i a sinh(d x + c) + a +--R \|a +--R * +--R log +--R +-+ +--R |2 +--R (- 2sinh(d x + c) - 2cosh(d x + c)) |- +--R \|a +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) - %i +--R / +--R sinh(d x + c) + cosh(d x + c) - %i +--R + +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 2cosh(------------------)atan(sinh(------------------)) +--R 4 4 +--R / +--R +----------------------+ +--R d\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 149 + +--S 150 of 510 +d0029a:= D(m0029a,x) +--R +--R +--R (131) +--R 2d x + %i %pi + 2c 2 2 +--R (2sinh(------------------) + 2)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (2cosh(d x + c) - 2%i)sinh(------------------) +--R 4 +--R + +--R 2cosh(d x + c) - 2%i +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R - 2%i cosh(d x + c)sinh(------------------) - 2%i cosh(d x + c) +--R 4 +--R * +--R +-+ +-------------------------------+ +--R |2 | %i a +--R |- |------------------------------- +--R \|a \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (sinh(------------------) + 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (cosh(d x + c)sinh(------------------) + cosh(d x + c))sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i cosh(d x + c) + 1)sinh(------------------) - %i cosh(d x + c) +--R 4 +--R + +--R 1 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (- sinh(------------------) - sinh(------------------)) +--R 4 4 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R (- 2cosh(d x + c) + %i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R (- 2cosh(d x + c) + %i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 +--R (- cosh(d x + c) + 2%i cosh(d x + c) - 1) +--R * +--R 2d x + %i %pi + 2c 3 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R 2cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2 +--R (- cosh(d x + c) + 2%i cosh(d x + c) - 1) +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R 2cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2 2d x + %i %pi + 2c 3 +--R (%i cosh(d x + c) + %i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 +--R cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2 2d x + %i %pi + 2c +--R (%i cosh(d x + c) + %i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 +--R cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R atan(sinh(------------------)) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 3 +--R - cosh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - 2cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) +--R 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R - cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R 2%i cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - cosh(------------------) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R %i cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) +--R 4 +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (- %i a sinh(------------------) - %i a sinh(------------------)) +--R 4 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R (- %i a cosh(d x + c) - 2a)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R %i a cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R (- %i a cosh(d x + c) - 2a)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R %i a cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R (- a cosh(d x + c) + %i a)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i a cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R a cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R (- a cosh(d x + c) + %i a)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i a cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R a cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R +-+ +--R |2 2d x + %i %pi + 2c +--R |- atan(sinh(------------------)) +--R \|a 4 +--R + +--R 2d x + %i %pi + 2c 2 2 +--R - %i a cosh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - %i a cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - 2a cosh(------------------) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R - a cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i a cosh(------------------) +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2d x + %i %pi + 2c 2 3 +--R (sinh(------------------) + 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (2cosh(d x + c) - %i)sinh(------------------) + 2cosh(d x + c) +--R 4 +--R + +--R - %i +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 +--R (cosh(d x + c) - 2%i cosh(d x + c) + 1) +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2 +--R cosh(d x + c) - 2%i cosh(d x + c) + 1 +--R * +--R sinh(d x + c) +--R + +--R 2 2d x + %i %pi + 2c 2 +--R (- %i cosh(d x + c) - %i)sinh(------------------) +--R 4 +--R + +--R 2 +--R - %i cosh(d x + c) - %i +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (%i a sinh(------------------) + %i a)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (%i a cosh(d x + c) + 2a)sinh(------------------) +--R 4 +--R + +--R %i a cosh(d x + c) + 2a +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (a cosh(d x + c) - %i a)sinh(------------------) + a cosh(d x + c) +--R 4 +--R + +--R - %i a +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 150 + +--S 151 of 510 +m0029b:= a0029.2-r0029 +--R +--R +--R (132) +--R +-------------------------------+ +--R | %i a +--R +-+ 2%i |------------------------------- +--R |2 +----------------------+ \|2sinh(d x + c) + 2cosh(d x + c) +--R 2 |- \|%i a sinh(d x + c) + a atan(-------------------------------------) +--R \|a +-+ +--R |2 +--R a |- +--R \|a +--R + +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 2cosh(------------------)atan(sinh(------------------)) +--R 4 4 +--R / +--R +----------------------+ +--R d\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 151 + +--S 152 of 510 +d0029b:= D(m0029b,x) +--R +--R +--R (133) +--R 2d x + %i %pi + 2c 2 +--R (sinh(------------------) + 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - %i sinh(------------------) - %i +--R 4 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (- sinh(------------------) - sinh(------------------)) +--R 4 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R (- cosh(d x + c) + 2%i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R (- cosh(d x + c) + 2%i)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R (%i cosh(d x + c) + 1)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R - %i cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R (%i cosh(d x + c) + 1)sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R cosh(------------------)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R - %i cosh(------------------)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R atan(sinh(------------------)) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 2 +--R - cosh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - cosh(------------------) cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R 2%i cosh(------------------) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) cosh(d x + c) + cosh(------------------) +--R 4 4 +--R * +--R +-------------------------------+ +--R | %i a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2d x + %i %pi + 2c 2 2 +--R (sinh(------------------) + 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (cosh(d x + c) - 2%i)sinh(------------------) + cosh(d x + c) +--R 4 +--R + +--R - 2%i +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i cosh(d x + c) - 1)sinh(------------------) - %i cosh(d x + c) - 1 +--R 4 +--R * +--R +-------------------------------+ +--R | %i a +----------------------+ +--R |------------------------------- \|%i a sinh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Complex Integer +--E 152 + +--S 153 of 510 +t0030:= 1/(a+%i*a*sinh(c+d*x))^(3/2) +--R +--R +--R %i +--R (134) - ------------------------------------------------- +--R +----------------------+ +--R (a sinh(d x + c) - %i a)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 153 + +--S 154 of 510 +r0030:= 1/2*%i*cosh(c+d*x)/d/(a+%i*a*sinh(c+d*x))^(3/2)+1/2*atan(sinh(1/2*c+1/4*%i*%pi+1/2*d*x))*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/a/d/(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R (135) +--R 1 1 1 1 +--R - cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - - %i cosh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 +--R - cosh(d x + c) +--R 2 +--R / +--R +----------------------+ +--R (a d sinh(d x + c) - %i a d)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 154 + +--S 155 of 510 +a0030:= integrate(t0030,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 155 + +--S 156 of 510 +m0030:= a0030-r0030 +--R +--R +--R (136) +--R +----------------------+ +--R (a a0030 d sinh(d x + c) - %i a a0030 d)\|%i a sinh(d x + c) + a +--R + +--R 1 1 1 1 +--R - - cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - %i cosh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 +--R - - cosh(d x + c) +--R 2 +--R / +--R +----------------------+ +--R (a d sinh(d x + c) - %i a d)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 156 + +--S 157 of 510 +d0030:= D(m0030,x) +--R +--R +--R (137) +--R 1 1 1 1 3 +--R - - sinh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R + +--R 1 1 1 1 +--R - - sinh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 1 1 1 3 +--R - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 4 2 4 2 +--R * +--R 1 1 1 2 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 1 1 1 1 +--R - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 4 2 4 2 +--R * +--R sinh(d x + c) +--R + +--R 1 1 1 1 3 +--R - sinh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R + +--R - +--R 1 1 1 1 +--R - %i cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 4 2 4 2 +--R * +--R 1 1 1 2 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 1 1 1 1 +--R - sinh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R + +--R 1 1 1 1 +--R - - %i cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 4 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 1 1 1 2 1 1 1 1 2 +--R - - sinh(- d x + - %i %pi + - c) - - cosh(- d x + - %i %pi + - c) +--R 2 2 4 2 4 2 4 2 +--R + +--R 1 +--R - - +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 1 1 1 2 +--R - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 2 1 +--R - %i cosh(- d x + - %i %pi + - c) + - %i +--R 2 2 4 2 2 +--R * +--R sinh(d x + c) +--R + +--R 3 2 1 1 1 2 3 2 +--R - cosh(d x + c) sinh(- d x + - %i %pi + - c) + - cosh(d x + c) +--R 4 2 4 2 4 +--R + +--R 1 1 1 1 2 +--R - cosh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R / +--R 1 1 1 2 2 +--R (a sinh(- d x + - %i %pi + - c) + a)sinh(d x + c) +--R 2 4 2 +--R + +--R 1 1 1 2 +--R (- 2%i a sinh(- d x + - %i %pi + - c) - 2%i a)sinh(d x + c) +--R 2 4 2 +--R + +--R 1 1 1 2 +--R - a sinh(- d x + - %i %pi + - c) - a +--R 2 4 2 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 157 + +--S 158 of 510 +t0031:= 1/(a+%i*a*sinh(c+d*x))^(5/2) +--R +--R +--R (138) +--R 1 +--R - ---------------------------------------------------------------------- +--R 2 2 2 2 +----------------------+ +--R (a sinh(d x + c) - 2%i a sinh(d x + c) - a )\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 158 + +--S 159 of 510 +r0031:= 1/4*%i*cosh(c+d*x)/d/(a+%i*a*sinh(c+d*x))^(5/2)+3/16*%i*cosh(c+d*x)/a/d/(a+%i*a*sinh(c+d*x))^(3/2)+3/16*atan(sinh(1/2*c+1/4*%i*%pi+1/2*d*x))*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/a^2/d/(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R (139) +--R 3 1 1 1 2 +--R -- cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 16 2 4 2 +--R + +--R 3 1 1 1 +--R - - %i cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 8 2 4 2 +--R + +--R 3 1 1 1 +--R - -- cosh(- d x + - %i %pi + - c) +--R 16 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 7 +--R -- cosh(d x + c)sinh(d x + c) - -- %i cosh(d x + c) +--R 16 16 +--R / +--R 2 2 2 2 +----------------------+ +--R (a d sinh(d x + c) - 2%i a d sinh(d x + c) - a d)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 159 + +--S 160 of 510 +a0031:= integrate(t0031,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 160 + +--S 161 of 510 +m0031:= a0031-r0031 +--R +--R +--R (140) +--R 2 2 2 2 +--R (a a0031 d sinh(d x + c) - 2%i a a0031 d sinh(d x + c) - a a0031 d) +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R + +--R 3 1 1 1 2 +--R - -- cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 16 2 4 2 +--R + +--R 3 1 1 1 +--R - %i cosh(- d x + - %i %pi + - c)sinh(d x + c) +--R 8 2 4 2 +--R + +--R 3 1 1 1 +--R -- cosh(- d x + - %i %pi + - c) +--R 16 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 7 +--R - -- cosh(d x + c)sinh(d x + c) + -- %i cosh(d x + c) +--R 16 16 +--R / +--R 2 2 2 2 +----------------------+ +--R (a d sinh(d x + c) - 2%i a d sinh(d x + c) - a d)\|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 161 + +--S 162 of 510 +d0031:= D(m0031,x) +--R +--R +--R (141) +--R 3 1 1 1 3 +--R - -- sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R - -- sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 1 1 1 3 +--R -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R -- cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 32 2 4 2 +--R * +--R 1 1 1 2 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 9 1 1 1 +--R -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R -- cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 32 2 4 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 1 1 1 3 +--R -- sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R - +--R 3 1 1 1 +--R -- %i cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 16 2 4 2 +--R * +--R 1 1 1 2 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 9 1 1 1 +--R -- sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R - -- %i cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 16 2 4 2 +--R * +--R sinh(d x + c) +--R + +--R 3 1 1 1 3 +--R - -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R - +--R 3 1 1 1 +--R -- cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 32 2 4 2 +--R * +--R 1 1 1 2 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 3 1 1 1 +--R - -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R - -- cosh(- d x + - %i %pi + - c)cosh(d x + c) +--R 32 2 4 2 +--R * +--R 1 1 1 +--R atan(sinh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 1 1 1 2 3 1 1 1 2 +--R - -- sinh(- d x + - %i %pi + - c) - -- cosh(- d x + - %i %pi + - c) +--R 16 2 4 2 32 2 4 2 +--R + +--R 3 +--R - -- +--R 16 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 1 1 1 2 +--R - %i sinh(- d x + - %i %pi + - c) +--R 8 2 4 2 +--R + +--R 9 1 1 1 2 5 +--R -- %i cosh(- d x + - %i %pi + - c) + - %i +--R 32 2 4 2 8 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 2 7 1 1 1 2 +--R (-- cosh(d x + c) + --)sinh(- d x + - %i %pi + - c) +--R 32 16 2 4 2 +--R + +--R 9 2 9 1 1 1 2 7 +--R -- cosh(d x + c) + -- cosh(- d x + - %i %pi + - c) + -- +--R 32 32 2 4 2 16 +--R * +--R sinh(d x + c) +--R + +--R 29 2 1 1 1 2 +--R - -- %i cosh(d x + c) sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 29 2 3 1 1 1 2 +--R - -- %i cosh(d x + c) - -- %i cosh(- d x + - %i %pi + - c) +--R 32 32 2 4 2 +--R / +--R 2 1 1 1 2 2 3 +--R (a sinh(- d x + - %i %pi + - c) + a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 2 +--R (- 3%i a sinh(- d x + - %i %pi + - c) - 3%i a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 +--R (- 3a sinh(- d x + - %i %pi + - c) - 3a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 +--R %i a sinh(- d x + - %i %pi + - c) + %i a +--R 2 4 2 +--R * +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 162 + +--S 163 of 510 +t0032:= (a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R +------------------------+ +--R (142) \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 163 + +--S 164 of 510 +r0032:= -2*%i*a*cosh(c+d*x)/d/(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2%i a cosh(d x + c) +--R (143) - ---------------------------- +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 164 + +--S 165 of 510 +a0032:= integrate(t0032,x) +--R +--R +--R (144) +--R - %i a sinh(d x + c) - %i a cosh(d x + c) - a +--R ----------------------------------------------------------------------- +--R +---------------------------------+ +--R | %i a +--R (d sinh(d x + c) + d cosh(d x + c)) |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 165 + +--S 166 of 510 +m0032:= a0032-r0032 +--R +--R +--R (145) +--R 2 +--R (2%i a cosh(d x + c)sinh(d x + c) + 2%i a cosh(d x + c) ) +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R +------------------------+ +--R (- %i a sinh(d x + c) - %i a cosh(d x + c) - a)\|- %i a sinh(d x + c) + a +--R / +--R +------------------------+ +--R (d sinh(d x + c) + d cosh(d x + c))\|- %i a sinh(d x + c) + a +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Complex Integer +--E 166 + +--S 167 of 510 +d0032:= D(m0032,x) +--R +--R +--R (146) +--R 3 2 +--R 4%i a sinh(d x + c) + (4%i a cosh(d x + c) - 4a)sinh(d x + c) +--R + +--R 2 +--R (- 2%i a cosh(d x + c) - 4a cosh(d x + c))sinh(d x + c) +--R + +--R 3 +--R - 2%i a cosh(d x + c) +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2 +--R - %i a sinh(d x + c) + (- %i a cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R a cosh(d x + c) + %i a +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 2 +--R 2sinh(d x + c) + (2cosh(d x + c) + 2%i)sinh(d x + c) +--R + +--R 2%i cosh(d x + c) +--R * +--R +---------------------------------+ +--R +------------------------+ | %i a +--R \|- %i a sinh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Complex Integer +--E 167 + +--S 168 of 510 +t0033:= (a-%i*a*sinh(c+d*x))^(3/2) +--R +--R +--R +------------------------+ +--R (147) (- %i a sinh(d x + c) + a)\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 168 + +--S 169 of 510 +r0033:= 2/3*%i*cosh(c+d*x)*a^2*(-5+%i*sinh(c+d*x))/(-a*(-1+%i*sinh(c+d*x)))^(1/2)/d +--R +--R +--R 2 2 10 2 +--R - - a cosh(d x + c)sinh(d x + c) - -- %i a cosh(d x + c) +--R 3 3 +--R (148) -------------------------------------------------------- +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 169 + +--S 170 of 510 +a0033:= integrate(t0033,x) +--R +--R +--R (149) +--R 2 3 2 2 2 +--R - a sinh(d x + c) + (- 3a cosh(d x + c) - 9%i a )sinh(d x + c) +--R + +--R 2 2 2 2 +--R (- 3a cosh(d x + c) - 18%i a cosh(d x + c) - 9a )sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R - a cosh(d x + c) - 9%i a cosh(d x + c) - 9a cosh(d x + c) - %i a +--R / +--R 2 2 +--R (6d sinh(d x + c) + 12d cosh(d x + c)sinh(d x + c) + 6d cosh(d x + c) ) +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 170 + +--S 171 of 510 +m0033:= a0033-r0033 +--R +--R +--R (150) +--R 2 2 3 +--R - a cosh(d x + c)sinh(d x + c) +--R 3 +--R + +--R 4 2 2 10 2 2 +--R (- a cosh(d x + c) + -- %i a cosh(d x + c))sinh(d x + c) +--R 3 3 +--R + +--R 2 2 3 20 2 2 +--R (- a cosh(d x + c) + -- %i a cosh(d x + c) )sinh(d x + c) +--R 3 3 +--R + +--R 10 2 3 +--R -- %i a cosh(d x + c) +--R 3 +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R + +--R 1 2 3 1 2 3 2 2 +--R - - a sinh(d x + c) + (- - a cosh(d x + c) - - %i a )sinh(d x + c) +--R 6 2 2 +--R + +--R 1 2 2 2 3 2 +--R (- - a cosh(d x + c) - 3%i a cosh(d x + c) - - a )sinh(d x + c) +--R 2 2 +--R + +--R 1 2 3 3 2 2 3 2 +--R - - a cosh(d x + c) - - %i a cosh(d x + c) - - a cosh(d x + c) +--R 6 2 2 +--R + +--R 1 2 +--R - - %i a +--R 6 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 2 2 +--R (d sinh(d x + c) + 2d cosh(d x + c)sinh(d x + c) + d cosh(d x + c) ) +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R +------------------------+ | 2 +--R \|- %i a sinh(d x + c) + a |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 171 + +--S 172 of 510 +d0033:= D(m0033,x) +--R +--R +--R (151) +--R 2 2 5 4 2 2 4 +--R - a sinh(d x + c) + (- a cosh(d x + c) + 4%i a )sinh(d x + c) +--R 3 3 +--R + +--R 2 2 2 10 2 3 +--R (a cosh(d x + c) + 8%i a cosh(d x + c) - -- a )sinh(d x + c) +--R 3 +--R + +--R 2 2 3 2 2 20 2 +--R (- a cosh(d x + c) + 3%i a cosh(d x + c) - -- a cosh(d x + c)) +--R 3 3 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 2 4 2 3 10 2 2 +--R (- a cosh(d x + c) - 2%i a cosh(d x + c) - -- a cosh(d x + c) ) +--R 3 3 +--R * +--R sinh(d x + c) +--R + +--R 2 4 +--R - %i a cosh(d x + c) +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R + +--R 1 2 4 3 2 2 3 +--R - - a sinh(d x + c) + (- - a cosh(d x + c) - %i a )sinh(d x + c) +--R 4 4 +--R + +--R 3 2 2 9 2 3 2 2 +--R (- - a cosh(d x + c) - - %i a cosh(d x + c) + - a )sinh(d x + c) +--R 4 4 2 +--R + +--R 1 2 3 3 2 2 9 2 +--R - - a cosh(d x + c) - - %i a cosh(d x + c) + - a cosh(d x + c) +--R 4 2 4 +--R + +--R 2 +--R %i a +--R * +--R sinh(d x + c) +--R + +--R 1 2 3 3 2 2 3 2 +--R - - %i a cosh(d x + c) + - a cosh(d x + c) + - %i a cosh(d x + c) +--R 4 4 4 +--R + +--R 1 2 +--R - - a +--R 4 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 3 2 +--R sinh(d x + c) + (2cosh(d x + c) + %i)sinh(d x + c) +--R + +--R 2 2 +--R (cosh(d x + c) + 2%i cosh(d x + c))sinh(d x + c) + %i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R +------------------------+ | 2 +--R \|- %i a sinh(d x + c) + a |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 172 + +--S 173 of 510 +t0034:= (a-%i*a*sinh(c+d*x))^(5/2) +--R +--R +--R (152) +--R 2 2 2 2 +------------------------+ +--R (- a sinh(d x + c) - 2%i a sinh(d x + c) + a )\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 173 + +--S 174 of 510 +r0034:= 2/15*%i*cosh(c+d*x)*(-46+14*%i*sinh(c+d*x)+3*cosh(c+d*x)^2)*a^3/(-a*(-1+%i*sinh(c+d*x)))^(1/2)/d +--R +--R +--R (153) +--R 28 3 2 3 3 +--R - -- a cosh(d x + c)sinh(d x + c) + - %i a cosh(d x + c) +--R 15 5 +--R + +--R 92 3 +--R - -- %i a cosh(d x + c) +--R 15 +--R / +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 174 + +--S 175 of 510 +a0034:= integrate(t0034,x) +--R +--R +--R (154) +--R 3 5 3 3 4 +--R 3%i a sinh(d x + c) + (15%i a cosh(d x + c) - 25a )sinh(d x + c) +--R + +--R 3 2 3 3 3 +--R (30%i a cosh(d x + c) - 100a cosh(d x + c) - 150%i a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 30%i a cosh(d x + c) - 150a cosh(d x + c) - 450%i a cosh(d x + c) +--R + +--R 3 +--R - 150a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 15%i a cosh(d x + c) - 100a cosh(d x + c) - 450%i a cosh(d x + c) +--R + +--R 3 3 +--R - 300a cosh(d x + c) - 25%i a +--R * +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R 3%i a cosh(d x + c) - 25a cosh(d x + c) - 150%i a cosh(d x + c) +--R + +--R 3 2 3 3 +--R - 150a cosh(d x + c) - 25%i a cosh(d x + c) + 3a +--R / +--R 3 2 +--R 60d sinh(d x + c) + 180d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 180d cosh(d x + c) sinh(d x + c) + 60d cosh(d x + c) +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Complex Integer,...) +--E 175 + +--S 176 of 510 +m0034:= a0034-r0034 +--R +--R +--R (155) +--R 28 3 4 +--R -- a cosh(d x + c)sinh(d x + c) +--R 15 +--R + +--R 2 3 3 28 3 2 +--R - - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 92 3 +--R -- %i a cosh(d x + c) +--R 15 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 3 4 28 3 3 +--R - - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 92 3 2 +--R -- %i a cosh(d x + c) +--R 5 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 6 3 5 28 3 4 +--R - - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 15 +--R + +--R 92 3 3 +--R -- %i a cosh(d x + c) +--R 5 +--R * +--R sinh(d x + c) +--R + +--R 2 3 6 92 3 4 +--R - - %i a cosh(d x + c) + -- %i a cosh(d x + c) +--R 5 15 +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R + +--R 1 3 5 1 3 5 3 4 +--R -- %i a sinh(d x + c) + (- %i a cosh(d x + c) - -- a )sinh(d x + c) +--R 20 4 12 +--R + +--R 1 3 2 5 3 5 3 3 +--R (- %i a cosh(d x + c) - - a cosh(d x + c) - - %i a )sinh(d x + c) +--R 2 3 2 +--R + +--R 1 3 3 5 3 2 +--R - %i a cosh(d x + c) - - a cosh(d x + c) +--R 2 2 +--R + +--R 15 3 5 3 +--R - -- %i a cosh(d x + c) - - a +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 3 4 5 3 3 +--R - %i a cosh(d x + c) - - a cosh(d x + c) +--R 4 3 +--R + +--R 15 3 2 3 5 3 +--R - -- %i a cosh(d x + c) - 5a cosh(d x + c) - -- %i a +--R 2 12 +--R * +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 5 3 3 +--R -- %i a cosh(d x + c) - -- a cosh(d x + c) - - %i a cosh(d x + c) +--R 20 12 2 +--R + +--R 5 3 2 5 3 1 3 +--R - - a cosh(d x + c) - -- %i a cosh(d x + c) + -- a +--R 2 12 20 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 3 2 +--R d sinh(d x + c) + 3d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 3d cosh(d x + c) sinh(d x + c) + d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R +------------------------+ | 2 +--R \|- %i a sinh(d x + c) + a |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 176 + +--S 177 of 510 +d0034:= D(m0034,x) +--R +--R +--R (156) +--R 28 3 6 +--R -- a sinh(d x + c) +--R 15 +--R + +--R 6 3 2 28 3 3 5 +--R (- - %i a cosh(d x + c) + -- a cosh(d x + c) + 8%i a )sinh(d x + c) +--R 5 5 +--R + +--R 18 3 3 116 3 2 +--R - -- %i a cosh(d x + c) + --- a cosh(d x + c) +--R 5 15 +--R + +--R 3 92 3 +--R 24%i a cosh(d x + c) - -- a +--R 15 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 17 3 4 124 3 3 +--R - -- %i a cosh(d x + c) + --- a cosh(d x + c) +--R 5 15 +--R + +--R 114 3 2 92 3 +--R --- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 5 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 3 5 32 3 4 +--R - - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 5 +--R + +--R 22 3 3 92 3 2 +--R -- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 5 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 3 6 32 3 5 +--R - %i a cosh(d x + c) + -- a cosh(d x + c) +--R 5 15 +--R + +--R 18 3 4 92 3 3 +--R - -- %i a cosh(d x + c) - -- a cosh(d x + c) +--R 5 15 +--R * +--R sinh(d x + c) +--R + +--R 1 3 7 6 3 5 +--R - %i a cosh(d x + c) - - %i a cosh(d x + c) +--R 5 5 +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R | 2 +--R |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R + +--R 1 3 6 5 3 3 3 5 +--R - %i a sinh(d x + c) + (- %i a cosh(d x + c) - - a )sinh(d x + c) +--R 8 8 4 +--R + +--R 5 3 2 25 3 15 3 4 +--R (- %i a cosh(d x + c) - -- a cosh(d x + c) - -- %i a )sinh(d x + c) +--R 4 8 8 +--R + +--R 5 3 3 3 2 25 3 +--R - %i a cosh(d x + c) - 5a cosh(d x + c) - -- %i a cosh(d x + c) +--R 4 4 +--R + +--R 5 3 +--R - a +--R 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 3 4 15 3 3 +--R - %i a cosh(d x + c) - -- a cosh(d x + c) +--R 8 4 +--R + +--R 15 3 2 25 3 15 3 +--R - -- %i a cosh(d x + c) + -- a cosh(d x + c) + -- %i a +--R 2 4 8 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 +--R - %i a cosh(d x + c) - - a cosh(d x + c) +--R 8 4 +--R + +--R 15 3 3 3 2 +--R - -- %i a cosh(d x + c) + 5a cosh(d x + c) +--R 4 +--R + +--R 25 3 3 3 +--R -- %i a cosh(d x + c) - - a +--R 8 4 +--R * +--R sinh(d x + c) +--R + +--R 1 3 5 5 3 4 5 3 3 +--R - - a cosh(d x + c) - - %i a cosh(d x + c) + - a cosh(d x + c) +--R 8 8 4 +--R + +--R 5 3 2 5 3 1 3 +--R - %i a cosh(d x + c) - - a cosh(d x + c) - - %i a +--R 4 8 8 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 4 3 +--R sinh(d x + c) + (3cosh(d x + c) + %i)sinh(d x + c) +--R + +--R 2 2 +--R (3cosh(d x + c) + 3%i cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 3 +--R (cosh(d x + c) + 3%i cosh(d x + c) )sinh(d x + c) + %i cosh(d x + c) +--R * +--R +-------------------------------+ +--R | 1 +--R | - %i a +--R +------------------------+ | 2 +--R \|- %i a sinh(d x + c) + a |- ----------------------------- +--R \| sinh(d x + c) + cosh(d x + c) +--R Type: Expression Complex Fraction Integer +--E 177 + +--S 178 of 510 +t0035:= 1/(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 1 +--R (157) --------------------------- +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 178 + +--S 179 of 510 +r0035:= -2*atanh(cosh(1/2*c+1/4*%i*%pi+1/2*d*x))*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/d/(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2sinh(------------------)atanh(cosh(------------------)) +--R 4 4 +--R (158) - -------------------------------------------------------- +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 179 + +--S 180 of 510 +a0035:= integrate(t0035,x) +--R +--R +--R (159) +--R [ +--R +-+ +--R |2 +--R %i |- +--R \|a +--R * +--R log +--R +-+ +--R |2 +--R (2sinh(d x + c) + 2cosh(d x + c)) |- +--R \|a +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) + %i +--R / +--R sinh(d x + c) + cosh(d x + c) + %i +--R / +--R d +--R , +--R +---------------------------------+ +--R | %i a +--R +-+ 2%i |- ------------------------------- +--R |2 \| 2sinh(d x + c) + 2cosh(d x + c) +--R 2 |- atan(---------------------------------------) +--R \|a +-+ +--R |2 +--R a |- +--R \|a +--R - --------------------------------------------------] +--R d +--R Type: Union(List Expression Complex Integer,...) +--E 180 + +--S 181 of 510 +m0035a:= a0035.1-r0035 +--R +--R +--R (160) +--R +-+ +--R |2 +------------------------+ +--R %i |- \|- %i a sinh(d x + c) + a +--R \|a +--R * +--R log +--R +-+ +--R |2 +--R (2sinh(d x + c) + 2cosh(d x + c)) |- +--R \|a +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) + %i +--R / +--R sinh(d x + c) + cosh(d x + c) + %i +--R + +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2sinh(------------------)atanh(cosh(------------------)) +--R 4 4 +--R / +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 181 + +--S 182 of 510 +d0035a:= D(m0035a,x) +--R +--R +--R (161) +--R 2d x + %i %pi + 2c 2 2 +--R (- 2cosh(------------------) + 2)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- 2cosh(------------------) + 2)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - 2%i cosh(------------------) + 2%i +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- 2%i cosh(------------------) + 2%i)cosh(d x + c) +--R 4 +--R * +--R +-+ +--R |2 +------------------------+ +--R |- \|- %i a sinh(d x + c) + a +--R \|a +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (cosh(------------------) - cosh(------------------)) +--R 4 4 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- cosh(------------------) + 1)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (2cosh(------------------) - 2cosh(------------------)) +--R 4 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R %i cosh(------------------) - %i cosh(------------------) +--R 4 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (- 2cosh(------------------) + 2)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (cosh(------------------) - cosh(------------------)) +--R 4 4 +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 +--R 2%i cosh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R - 2%i cosh(------------------) +--R 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R cosh(------------------) - cosh(------------------) +--R 4 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 3 +--R (- cosh(------------------) + 1)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- cosh(------------------) + 1)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (%i cosh(------------------) - %i cosh(------------------)) +--R 4 4 +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R %i cosh(------------------) - %i cosh(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R atanh(cosh(------------------)) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 3 +--R - sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (- 2cosh(d x + c) - %i)sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2 2d x + %i %pi + 2c 2 +--R (- cosh(d x + c) - 2%i cosh(d x + c) - 1)sinh(------------------) +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2 2d x + %i %pi + 2c 2 +--R (- %i cosh(d x + c) - %i)sinh(------------------) +--R 4 +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (cosh(------------------) - 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (cosh(------------------) - 1)cosh(d x + c)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (%i cosh(------------------) - %i)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R cosh(------------------) - 1 +--R 4 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (%i a cosh(------------------) - %i a cosh(------------------)) +--R 4 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i a cosh(------------------) + %i a)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 +--R %i a cosh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c +--R - %i a cosh(------------------) +--R 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - 2a cosh(------------------) + 2a cosh(------------------) +--R 4 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (- %i a cosh(------------------) + %i a)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (a cosh(------------------) - a)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (- a cosh(------------------) + a cosh(------------------)) +--R 4 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - %i a cosh(------------------) + %i a cosh(------------------) +--R 4 4 +--R * +--R +-+ +--R |2 2d x + %i %pi + 2c +--R |- atanh(cosh(------------------)) +--R \|a 4 +--R + +--R 2d x + %i %pi + 2c 2 2 +--R - %i a sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i a cosh(d x + c) + 2a)sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (a cosh(d x + c) + %i a)sinh(------------------) +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2d x + %i %pi + 2c 2 3 +--R (cosh(------------------) - 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (2cosh(------------------) - 2)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) - %i +--R 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (cosh(------------------) - 1)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (2%i cosh(------------------) - 2%i)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R cosh(------------------) - 1 +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (%i cosh(------------------) - %i)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) - %i +--R 4 +--R * +--R +---------------------------------+ +--R +------------------------+ | %i a +--R \|- %i a sinh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (%i a cosh(------------------) - %i a)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (%i a cosh(------------------) - %i a)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - 2a cosh(------------------) + 2a +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- a cosh(------------------) + a)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - %i a cosh(------------------) + %i a +--R 4 +--R * +--R +-+ +--R |2 +------------------------+ +--R |- \|- %i a sinh(d x + c) + a +--R \|a +--R Type: Expression Complex Integer +--E 182 + +--S 183 of 510 +m0035b:= a0035.2-r0035 +--R +--R +--R (162) +--R - +--R +-+ +--R |2 +------------------------+ +--R 2 |- \|- %i a sinh(d x + c) + a +--R \|a +--R * +--R +---------------------------------+ +--R | %i a +--R 2%i |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R atan(---------------------------------------) +--R +-+ +--R |2 +--R a |- +--R \|a +--R + +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2sinh(------------------)atanh(cosh(------------------)) +--R 4 4 +--R / +--R +------------------------+ +--R d\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 183 + +--S 184 of 510 +d0035b:= D(m0035b,x) +--R +--R +--R (163) +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (cosh(------------------) - cosh(------------------)) +--R 4 4 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (- cosh(------------------) + 1)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (cosh(------------------) - cosh(------------------)) +--R 4 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R 2%i cosh(------------------) - 2%i cosh(------------------) +--R 4 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 2 +--R (- cosh(------------------) + 1)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i cosh(------------------) + %i)cosh(d x + c) +--R 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R (%i cosh(------------------) - %i cosh(------------------)) +--R 4 4 +--R * +--R cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - cosh(------------------) + cosh(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R atanh(cosh(------------------)) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 2 +--R - sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- cosh(d x + c) - 2%i)sinh(------------------) sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (- %i cosh(d x + c) + 1)sinh(------------------) +--R 4 +--R * +--R +---------------------------------+ +--R | %i a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (cosh(------------------) - 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R %i cosh(------------------) - %i +--R 4 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R / +--R 2d x + %i %pi + 2c 2 2 +--R (cosh(------------------) - 1)sinh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R (cosh(------------------) - 1)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R 2%i cosh(------------------) - 2%i +--R 4 +--R * +--R sinh(d x + c) +--R + +--R 2d x + %i %pi + 2c 2 +--R (%i cosh(------------------) - %i)cosh(d x + c) +--R 4 +--R + +--R 2d x + %i %pi + 2c 2 +--R - cosh(------------------) + 1 +--R 4 +--R * +--R +---------------------------------+ +--R +------------------------+ | %i a +--R \|- %i a sinh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Complex Integer +--E 184 + +--S 185 of 510 +t0036:= 1/(a-%i*a*sinh(c+d*x))^(3/2) +--R +--R +--R %i +--R (164) --------------------------------------------------- +--R +------------------------+ +--R (a sinh(d x + c) + %i a)\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 185 + +--S 186 of 510 +r0036:= -1/2*%i*cosh(c+d*x)/d/(a-%i*a*sinh(c+d*x))^(3/2)-1/2*atanh(cosh(1/2*c+1/4*%i*%pi+1/2*d*x))*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/a/d/(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R (165) +--R 1 1 1 1 +--R - - sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 +--R - cosh(d x + c) +--R 2 +--R / +--R +------------------------+ +--R (a d sinh(d x + c) + %i a d)\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 186 + +--S 187 of 510 +a0036:= integrate(t0036,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 187 + +--S 188 of 510 +m0036:= a0036-r0036 +--R +--R +--R (166) +--R +------------------------+ +--R (a a0036 d sinh(d x + c) + %i a a0036 d)\|- %i a sinh(d x + c) + a +--R + +--R 1 1 1 1 +--R - sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 +--R - - cosh(d x + c) +--R 2 +--R / +--R +------------------------+ +--R (a d sinh(d x + c) + %i a d)\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 188 + +--S 189 of 510 +d0036:= D(m0036,x) +--R +--R +--R (167) +--R 1 1 1 1 3 1 1 1 1 +--R (- cosh(- d x + - %i %pi + - c) - - cosh(- d x + - %i %pi + - c)) +--R 4 2 4 2 4 2 4 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 1 1 1 2 1 +--R (- - cosh(- d x + - %i %pi + - c) + -)cosh(d x + c) +--R 4 2 4 2 4 +--R * +--R 1 1 1 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 1 1 1 1 3 +--R - %i cosh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 +--R - - %i cosh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R * +--R sinh(d x + c) +--R + +--R 1 1 1 1 2 1 +--R (- - %i cosh(- d x + - %i %pi + - c) + - %i)cosh(d x + c) +--R 4 2 4 2 4 +--R * +--R 1 1 1 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 1 1 1 1 3 1 1 1 1 +--R - - cosh(- d x + - %i %pi + - c) + - cosh(- d x + - %i %pi + - c) +--R 4 2 4 2 4 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 1 1 1 1 2 1 1 1 1 2 +--R - - sinh(- d x + - %i %pi + - c) - - cosh(- d x + - %i %pi + - c) +--R 4 2 4 2 2 2 4 2 +--R + +--R 1 +--R - +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 1 1 1 1 2 +--R - - %i sinh(- d x + - %i %pi + - c) +--R 2 2 4 2 +--R + +--R 1 1 1 1 2 1 +--R - - %i cosh(- d x + - %i %pi + - c) + - %i +--R 2 2 4 2 2 +--R * +--R sinh(d x + c) +--R + +--R 1 1 1 1 2 +--R - sinh(- d x + - %i %pi + - c) +--R 4 2 4 2 +--R + +--R 3 1 1 1 2 3 2 +--R (- cosh(- d x + - %i %pi + - c) - -)cosh(d x + c) +--R 4 2 4 2 4 +--R / +--R 1 1 1 2 2 +--R (a cosh(- d x + - %i %pi + - c) - a)sinh(d x + c) +--R 2 4 2 +--R + +--R 1 1 1 2 +--R (2%i a cosh(- d x + - %i %pi + - c) - 2%i a)sinh(d x + c) +--R 2 4 2 +--R + +--R 1 1 1 2 +--R - a cosh(- d x + - %i %pi + - c) + a +--R 2 4 2 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 189 + +--S 190 of 510 +t0037:= 1/(a-%i*a*sinh(c+d*x))^(5/2) +--R +--R +--R (168) +--R 1 +--R - ------------------------------------------------------------------------ +--R 2 2 2 2 +------------------------+ +--R (a sinh(d x + c) + 2%i a sinh(d x + c) - a )\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 190 + +--S 191 of 510 +r0037:= -1/4*%i*cosh(c+d*x)/d/(a-%i*a*sinh(c+d*x))^(5/2)-3/16*%i*cosh(c+d*x)/a/d/(a-%i*a*sinh(c+d*x))^(3/2)-3/16*atanh(cosh(1/2*c+1/4*%i*%pi+1/2*d*x))*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/a^2/d/(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R (169) +--R 3 1 1 1 2 +--R - -- sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 16 2 4 2 +--R + +--R 3 1 1 1 +--R - - %i sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 8 2 4 2 +--R + +--R 3 1 1 1 +--R -- sinh(- d x + - %i %pi + - c) +--R 16 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 7 +--R -- cosh(d x + c)sinh(d x + c) + -- %i cosh(d x + c) +--R 16 16 +--R / +--R 2 2 2 2 +--R (a d sinh(d x + c) + 2%i a d sinh(d x + c) - a d) +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 191 + +--S 192 of 510 +a0037:= integrate(t0037,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 192 + +--S 193 of 510 +m0037:= a0037-r0037 +--R +--R +--R (170) +--R 2 2 2 2 +--R (a a0037 d sinh(d x + c) + 2%i a a0037 d sinh(d x + c) - a a0037 d) +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R + +--R 3 1 1 1 2 +--R -- sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 16 2 4 2 +--R + +--R 3 1 1 1 +--R - %i sinh(- d x + - %i %pi + - c)sinh(d x + c) +--R 8 2 4 2 +--R + +--R 3 1 1 1 +--R - -- sinh(- d x + - %i %pi + - c) +--R 16 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 7 +--R - -- cosh(d x + c)sinh(d x + c) - -- %i cosh(d x + c) +--R 16 16 +--R / +--R 2 2 2 2 +--R (a d sinh(d x + c) + 2%i a d sinh(d x + c) - a d) +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 193 + +--S 194 of 510 +d0037:= D(m0037,x) +--R +--R +--R (171) +--R 3 1 1 1 3 +--R -- cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R - -- cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 1 1 1 2 3 +--R (- -- cosh(- d x + - %i %pi + - c) + --)cosh(d x + c) +--R 32 2 4 2 32 +--R * +--R 1 1 1 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 9 1 1 1 3 +--R -- %i cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 9 1 1 1 +--R - -- %i cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 1 1 1 2 3 +--R (- -- %i cosh(- d x + - %i %pi + - c) + -- %i)cosh(d x + c) +--R 16 2 4 2 16 +--R * +--R 1 1 1 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 9 1 1 1 3 +--R - -- cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 9 1 1 1 +--R -- cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R * +--R sinh(d x + c) +--R + +--R 3 1 1 1 2 3 +--R (-- cosh(- d x + - %i %pi + - c) - --)cosh(d x + c) +--R 32 2 4 2 32 +--R * +--R 1 1 1 +--R sinh(- d x + - %i %pi + - c) +--R 2 4 2 +--R + +--R 3 1 1 1 3 +--R - -- %i cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 3 1 1 1 +--R -- %i cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R * +--R 1 1 1 +--R atanh(cosh(- d x + - %i %pi + - c)) +--R 2 4 2 +--R + +--R 3 1 1 1 2 3 1 1 1 2 +--R - -- sinh(- d x + - %i %pi + - c) - -- cosh(- d x + - %i %pi + - c) +--R 32 2 4 2 16 2 4 2 +--R + +--R 3 +--R -- +--R 16 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 1 1 1 2 +--R - -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 5 1 1 1 2 5 +--R - - %i cosh(- d x + - %i %pi + - c) + - %i +--R 8 2 4 2 8 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 1 1 1 2 +--R -- sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 9 1 1 1 2 9 2 +--R (-- cosh(- d x + - %i %pi + - c) - --)cosh(d x + c) +--R 32 2 4 2 32 +--R + +--R 7 1 1 1 2 7 +--R -- cosh(- d x + - %i %pi + - c) - -- +--R 16 2 4 2 16 +--R * +--R sinh(d x + c) +--R + +--R 3 1 1 1 2 +--R -- %i sinh(- d x + - %i %pi + - c) +--R 32 2 4 2 +--R + +--R 29 1 1 1 2 29 2 +--R (-- %i cosh(- d x + - %i %pi + - c) - -- %i)cosh(d x + c) +--R 32 2 4 2 32 +--R / +--R 2 1 1 1 2 2 3 +--R (a cosh(- d x + - %i %pi + - c) - a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 2 +--R (3%i a cosh(- d x + - %i %pi + - c) - 3%i a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 +--R (- 3a cosh(- d x + - %i %pi + - c) + 3a )sinh(d x + c) +--R 2 4 2 +--R + +--R 2 1 1 1 2 2 +--R - %i a cosh(- d x + - %i %pi + - c) + %i a +--R 2 4 2 +--R * +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Fraction Integer +--E 194 + +--S 195 of 510 +t0038:= (b*sinh(c+d*x))^(1/2) +--R +--R +--R +---------------+ +--R (172) \|b sinh(d x + c) +--R Type: Expression Integer +--E 195 + +--S 196 of 510 +r0038:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(c+d*x),2)*(b*sinh(c+d*x))^(1/2)/d/(%i*sinh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 196 + +--S 197 of 510 +a0038:= integrate(t0038,x) +--R +--R +--R x +--R ++ +----------------+ +--R (173) | \|b sinh(%N d + c) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 197 + +--S 198 of 510 +m0038:= a0038-r0038 +--R +--R +--R x +--R ++ +----------------+ +--R (174) | \|b sinh(%N d + c) d%N - r0038 +--R ++ +--R Type: Expression Integer +--E 198 + +--S 199 of 510 +d0038:= D(m0038,x) +--R +--R +--R +---------------+ +--R (175) \|b sinh(d x + c) +--R Type: Expression Integer +--E 199 + +--S 200 of 510 +t0039:= (b*sinh(c+d*x))^(3/2) +--R +--R +--R +---------------+ +--R (176) b sinh(d x + c)\|b sinh(d x + c) +--R Type: Expression Integer +--E 200 + +--S 201 of 510 +r0039:= 2/3*b^2*(%i*EllipticF(-1/4*%pi+1/2*%i*c+1/2*%i*d*x,2)*(%i*sinh(c+d*x))^(1/2)+cosh(c+d*x)*sinh(c+d*x))/(b*sinh(c+d*x))^(1/2)/d +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Expression Complex Integer +--R Polynomial Complex Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 201 + +--S 202 of 510 +a0039:= integrate(t0039,x) +--R +--R +--R x +--R ++ +----------------+ +--R (177) | b sinh(%N d + c)\|b sinh(%N d + c) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 202 + +--S 203 of 510 +m0039:= a0039-r0039 +--R +--R +--R x +--R ++ +----------------+ +--R (178) | b sinh(%N d + c)\|b sinh(%N d + c) d%N - r0039 +--R ++ +--R Type: Expression Integer +--E 203 + +--S 204 of 510 +d0039:= D(m0039,x) +--R +--R +--R +---------------+ +--R (179) b sinh(d x + c)\|b sinh(d x + c) +--R Type: Expression Integer +--E 204 + +--S 205 of 510 +t0040:= (b*sinh(c+d*x))^(5/2) +--R +--R +--R 2 2 +---------------+ +--R (180) b sinh(d x + c) \|b sinh(d x + c) +--R Type: Expression Integer +--E 205 + +--S 206 of 510 +r0040:= 6/5*%i*b^2*EllipticE(-1/4*%pi+1/2*%i*(c+d*x),2)*(b*sinh(c+d*x))^(1/2)/d/(%i*sinh(c+d*x))^(1/2)+2/5*b*cosh(c+d*x)*(b*sinh(c+d*x))^(3/2)/d +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 206 + +--S 207 of 510 +a0040:= integrate(t0040,x) +--R +--R +--R x +--R ++ 2 2 +----------------+ +--R (181) | b sinh(%N d + c) \|b sinh(%N d + c) d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 207 + +--S 208 of 510 +m0040:= a0040-r0040 +--R +--R +--R x +--R ++ 2 2 +----------------+ +--R (182) | b sinh(%N d + c) \|b sinh(%N d + c) d%N - r0040 +--R ++ +--R Type: Expression Integer +--E 208 + +--S 209 of 510 +d0040:= D(m0040,x) +--R +--R +--R 2 2 +---------------+ +--R (183) b sinh(d x + c) \|b sinh(d x + c) +--R Type: Expression Integer +--E 209 + +--S 210 of 510 +t0041:= 1/(b*sinh(c+d*x))^(1/2) +--R +--R +--R 1 +--R (184) ------------------ +--R +---------------+ +--R \|b sinh(d x + c) +--R Type: Expression Integer +--E 210 + +--S 211 of 510 +r0041:= -2*%i*EllipticF(-1/4*%pi+1/2*%i*(c+d*x),2)*(%i*sinh(c+d*x))^(1/2)/d/(b*sinh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 211 + +--S 212 of 510 +a0041:= integrate(t0041,x) +--R +--R +--R x +--R ++ 1 +--R (185) | ------------------- d%N +--R ++ +----------------+ +--R \|b sinh(%N d + c) +--R Type: Union(Expression Integer,...) +--E 212 + +--S 213 of 510 +m0041:= a0041-r0041 +--R +--R +--R x +--R ++ 1 +--R (186) | ------------------- d%N - r0041 +--R ++ +----------------+ +--R \|b sinh(%N d + c) +--R Type: Expression Integer +--E 213 + +--S 214 of 510 +d0041:= D(m0041,x) +--R +--R +--R 1 +--R (187) ------------------ +--R +---------------+ +--R \|b sinh(d x + c) +--R Type: Expression Integer +--E 214 + +--S 215 of 510 +t0042:= 1/(b*sinh(c+d*x))^(3/2) +--R +--R +--R 1 +--R (188) --------------------------------- +--R +---------------+ +--R b sinh(d x + c)\|b sinh(d x + c) +--R Type: Expression Integer +--E 215 + +--S 216 of 510 +r0042:= -2*cosh(c+d*x)/b/d/(b*sinh(c+d*x))^(1/2)-2*%i*EllipticE(-1/4*%pi+1/2*%i*(c+d*x),2)*(b*sinh(c+d*x))^(1/2)/b^2/d/(%i*sinh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 216 + +--S 217 of 510 +a0042:= integrate(t0042,x) +--R +--R +--R x +--R ++ 1 +--R (189) | ----------------------------------- d%N +--R ++ +----------------+ +--R b sinh(%N d + c)\|b sinh(%N d + c) +--R Type: Union(Expression Integer,...) +--E 217 + +--S 218 of 510 +m0042:= a0042-r0042 +--R +--R +--R x +--R ++ 1 +--R (190) | ----------------------------------- d%N - r0042 +--R ++ +----------------+ +--R b sinh(%N d + c)\|b sinh(%N d + c) +--R Type: Expression Integer +--E 218 + +--S 219 of 510 +d0042:= D(m0042,x) +--R +--R +--R 1 +--R (191) --------------------------------- +--R +---------------+ +--R b sinh(d x + c)\|b sinh(d x + c) +--R Type: Expression Integer +--E 219 + +--S 220 of 510 +t0043:= 1/(b*sinh(c+d*x))^(5/2) +--R +--R +--R 1 +--R (192) ---------------------------------- +--R 2 2 +---------------+ +--R b sinh(d x + c) \|b sinh(d x + c) +--R Type: Expression Integer +--E 220 + +--S 221 of 510 +r0043:= 2/3/b^2*(-cosh(c+d*x)+%i*EllipticF(-1/4*%pi+1/2*%i*c+1/2*%i*d*x,2)*(%i*sinh(c+d*x))^(1/2)*sinh(c+d*x))/d/sinh(c+d*x)/(b*sinh(c+d*x))^(1/2) +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Expression Complex Integer +--R Polynomial Complex Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 221 + +--S 222 of 510 +a0043:= integrate(t0043,x) +--R +--R +--R x +--R ++ 1 +--R (193) | ------------------------------------ d%N +--R ++ 2 2 +----------------+ +--R b sinh(%N d + c) \|b sinh(%N d + c) +--R Type: Union(Expression Integer,...) +--E 222 + +--S 223 of 510 +m0043:= a0043-r0043 +--R +--R +--R x +--R ++ 1 +--R (194) | ------------------------------------ d%N - r0043 +--R ++ 2 2 +----------------+ +--R b sinh(%N d + c) \|b sinh(%N d + c) +--R Type: Expression Integer +--E 223 + +--S 224 of 510 +d0043:= D(m0043,x) +--R +--R +--R 1 +--R (195) ---------------------------------- +--R 2 2 +---------------+ +--R b sinh(d x + c) \|b sinh(d x + c) +--R Type: Expression Integer +--E 224 + +--S 225 of 510 +t0044:= x^2/(a+b*sinh(x)) +--R +--R +--R 2 +--R x +--R (196) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 225 + +--S 226 of 510 +r0044:= -(-x^2*log((-a+(a^2+b^2)^(1/2)-b*exp(x))/((a^2+b^2)^(1/2)-a))+x^2*log((a+(a^2+b^2)^(1/2)+b*exp(x))/(a+(a^2+b^2)^(1/2)))-2*x*polylog(2,b*exp(x)/((a^2+b^2)^(1/2)-a))+2*x*polylog(2,-b*exp(x)/(a+(a^2+b^2)^(1/2)))+2*polylog(3,b*exp(x)/((a^2+b^2)^(1/2)-a))-2*polylog(3,-b*exp(x)/(a+(a^2+b^2)^(1/2))))/(a^2+b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 226 + +--S 227 of 510 +a0044:= integrate(t0044,x) +--R +--R +--R x 2 +--R ++ %N +--R (197) | -------------- d%N +--R ++ b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 227 + +--S 228 of 510 +m0044:= a0044-r0044 +--R +--R +--R x 2 +--R ++ %N +--R (198) | -------------- d%N - r0044 +--R ++ b sinh(%N) + a +--R Type: Expression Integer +--E 228 + +--S 229 of 510 +d0044:= D(m0044,x) +--R +--R +--R 2 +--R x +--R (199) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 229 + +--S 230 of 510 +t0045:= x^3/(a+b*sinh(x)) +--R +--R +--R 3 +--R x +--R (200) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 230 + +--S 231 of 510 +r0045:= (x^3*log((-a+(a^2+b^2)^(1/2)-b*exp(x))/((a^2+b^2)^(1/2)-a))-x^3*log((a+(a^2+b^2)^(1/2)+b*exp(x))/(a+(a^2+b^2)^(1/2)))+3*x^2*polylog(2,b*exp(x)/((a^2+b^2)^(1/2)-a))-3*x^2*polylog(2,-b*exp(x)/(a+(a^2+b^2)^(1/2)))-6*x*polylog(3,b*exp(x)/((a^2+b^2)^(1/2)-a))+6*x*polylog(3,-b*exp(x)/(a+(a^2+b^2)^(1/2)))+6*polylog(4,b*exp(x)/((a^2+b^2)^(1/2)-a))-6*polylog(4,-b*exp(x)/(a+(a^2+b^2)^(1/2))))/(a^2+b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 231 + +--S 232 of 510 +a0045:= integrate(t0045,x) +--R +--R +--R x 3 +--R ++ %N +--R (201) | -------------- d%N +--R ++ b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 232 + +--S 233 of 510 +m0045:= a0045-r0045 +--R +--R +--R x 3 +--R ++ %N +--R (202) | -------------- d%N - r0045 +--R ++ b sinh(%N) + a +--R Type: Expression Integer +--E 233 + +--S 234 of 510 +d0045:= D(m0045,x) +--R +--R +--R 3 +--R x +--R (203) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 234 + +--S 235 of 510 +t0046:= x/(1+%i*sinh(x)) +--R +--R +--R %i x +--R (204) - ------------ +--R sinh(x) - %i +--R Type: Expression Complex Integer +--E 235 + +--S 236 of 510 +r0046:= -2*log(cos(-1/4*%pi+1/2*%i*x))+%i*x*cot(1/4*%pi+1/2*%i*x) +--R +--R +--R 2%i x - %pi 2%i x + %pi +--R (205) - 2log(cos(-----------)) + %i x cot(-----------) +--R 4 4 +--R Type: Expression Complex Integer +--E 236 + +--S 237 of 510 +a0046:= integrate(t0046,x) +--R +--R +--R (206) +--R (- 2sinh(x) - 2cosh(x) + 2%i)log(sinh(x) + cosh(x) - %i) + 2x sinh(x) +--R + +--R 2x cosh(x) +--R / +--R sinh(x) + cosh(x) - %i +--R Type: Union(Expression Complex Integer,...) +--E 237 + +--S 238 of 510 +m0046:= a0046-r0046 +--R +--R +--R (207) +--R (- 2sinh(x) - 2cosh(x) + 2%i)log(sinh(x) + cosh(x) - %i) +--R + +--R 2%i x - %pi +--R (2sinh(x) + 2cosh(x) - 2%i)log(cos(-----------)) +--R 4 +--R + +--R 2%i x + %pi +--R (- %i x cot(-----------) + 2x)sinh(x) +--R 4 +--R + +--R 2%i x + %pi +--R (- %i x cosh(x) - x)cot(-----------) + 2x cosh(x) +--R 4 +--R / +--R sinh(x) + cosh(x) - %i +--R Type: Expression Complex Integer +--E 238 + +--S 239 of 510 +d0046:= D(m0046,x) +--R +--R +--R (208) +--R 2%i x - %pi 2%i x - %pi 2%i x + %pi 2 +--R - 2%i sin(-----------) - x cos(-----------)cot(-----------) +--R 4 4 4 +--R + +--R 2%i x - %pi 2%i x + %pi 2%i x - %pi +--R - 2%i cos(-----------)cot(-----------) - x cos(-----------) +--R 4 4 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 2%i x - %pi +--R (- 4%i cosh(x) - 4)sin(-----------) +--R 4 +--R + +--R 2%i x - %pi 2%i x - %pi +--R (- 2x cos(-----------)cosh(x) + 2%i x cos(-----------)) +--R 4 4 +--R * +--R 2%i x + %pi 2 +--R cot(-----------) +--R 4 +--R + +--R 2%i x - %pi 2%i x - %pi 2%i x + %pi +--R (- 4%i cos(-----------)cosh(x) - 4cos(-----------))cot(-----------) +--R 4 4 4 +--R + +--R 2%i x - %pi 2%i x - %pi +--R - 2x cos(-----------)cosh(x) - 2%i x cos(-----------) +--R 4 4 +--R * +--R sinh(x) +--R + +--R 2 2%i x - %pi +--R (- 2%i cosh(x) - 4cosh(x) + 2%i)sin(-----------) +--R 4 +--R + +--R 2%i x - %pi 2 2%i x - %pi +--R - x cos(-----------)cosh(x) + 2%i x cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x - %pi +--R x cos(-----------) +--R 4 +--R * +--R 2%i x + %pi 2 +--R cot(-----------) +--R 4 +--R + +--R 2%i x - %pi 2 2%i x - %pi +--R - 2%i cos(-----------)cosh(x) - 4cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x - %pi +--R 2%i cos(-----------) +--R 4 +--R * +--R 2%i x + %pi +--R cot(-----------) +--R 4 +--R + +--R 2%i x - %pi 2 2%i x - %pi +--R - x cos(-----------)cosh(x) - 2%i x cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x - %pi +--R x cos(-----------) +--R 4 +--R / +--R 2%i x - %pi 2 +--R 2cos(-----------)sinh(x) +--R 4 +--R + +--R 2%i x - %pi 2%i x - %pi +--R (4cos(-----------)cosh(x) - 4%i cos(-----------))sinh(x) +--R 4 4 +--R + +--R 2%i x - %pi 2 2%i x - %pi 2%i x - %pi +--R 2cos(-----------)cosh(x) - 4%i cos(-----------)cosh(x) - 2cos(-----------) +--R 4 4 4 +--R Type: Expression Complex Integer +--E 239 + +--S 240 of 510 +t0047:= x/(1-%i*sinh(x)) +--R +--R +--R %i x +--R (209) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 240 + +--S 241 of 510 +r0047:= -2*log(cos(1/4*%pi+1/2*%i*x))-%i*x*tan(1/4*%pi+1/2*%i*x) +--R +--R +--R 2%i x + %pi 2%i x + %pi +--R (210) - 2log(cos(-----------)) - %i x tan(-----------) +--R 4 4 +--R Type: Expression Complex Integer +--E 241 + +--S 242 of 510 +a0047:= integrate(t0047,x) +--R +--R +--R (211) +--R (- 2sinh(x) - 2cosh(x) - 2%i)log(sinh(x) + cosh(x) + %i) + 2x sinh(x) +--R + +--R 2x cosh(x) +--R / +--R sinh(x) + cosh(x) + %i +--R Type: Union(Expression Complex Integer,...) +--E 242 + +--S 243 of 510 +m0047:= a0047-r0047 +--R +--R +--R (212) +--R (- 2sinh(x) - 2cosh(x) - 2%i)log(sinh(x) + cosh(x) + %i) +--R + +--R 2%i x + %pi +--R (2sinh(x) + 2cosh(x) + 2%i)log(cos(-----------)) +--R 4 +--R + +--R 2%i x + %pi +--R (%i x sinh(x) + %i x cosh(x) - x)tan(-----------) + 2x sinh(x) + 2x cosh(x) +--R 4 +--R / +--R sinh(x) + cosh(x) + %i +--R Type: Expression Complex Integer +--E 243 + +--S 244 of 510 +d0047:= D(m0047,x) +--R +--R +--R (213) +--R 2%i x + %pi 2 +--R - x cos(-----------)sinh(x) +--R 4 +--R + +--R 2%i x + %pi 2%i x + %pi +--R (- 2x cos(-----------)cosh(x) - 2%i x cos(-----------))sinh(x) +--R 4 4 +--R + +--R 2%i x + %pi 2 2%i x + %pi +--R - x cos(-----------)cosh(x) - 2%i x cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x + %pi +--R x cos(-----------) +--R 4 +--R * +--R 2%i x + %pi 2 +--R tan(-----------) +--R 4 +--R + +--R 2%i x + %pi 2 +--R 2%i cos(-----------)sinh(x) +--R 4 +--R + +--R 2%i x + %pi 2%i x + %pi +--R (4%i cos(-----------)cosh(x) - 4cos(-----------))sinh(x) +--R 4 4 +--R + +--R 2%i x + %pi 2 2%i x + %pi +--R 2%i cos(-----------)cosh(x) - 4cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x + %pi +--R - 2%i cos(-----------) +--R 4 +--R * +--R 2%i x + %pi +--R tan(-----------) +--R 4 +--R + +--R 2%i x + %pi 2%i x + %pi 2 +--R (- 2%i sin(-----------) - x cos(-----------))sinh(x) +--R 4 4 +--R + +--R 2%i x + %pi 2%i x + %pi +--R (- 4%i cosh(x) + 4)sin(-----------) - 2x cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x + %pi +--R 2%i x cos(-----------) +--R 4 +--R * +--R sinh(x) +--R + +--R 2 2%i x + %pi +--R (- 2%i cosh(x) + 4cosh(x) + 2%i)sin(-----------) +--R 4 +--R + +--R 2%i x + %pi 2 2%i x + %pi +--R - x cos(-----------)cosh(x) + 2%i x cos(-----------)cosh(x) +--R 4 4 +--R + +--R 2%i x + %pi +--R x cos(-----------) +--R 4 +--R / +--R 2%i x + %pi 2 +--R 2cos(-----------)sinh(x) +--R 4 +--R + +--R 2%i x + %pi 2%i x + %pi +--R (4cos(-----------)cosh(x) + 4%i cos(-----------))sinh(x) +--R 4 4 +--R + +--R 2%i x + %pi 2 2%i x + %pi 2%i x + %pi +--R 2cos(-----------)cosh(x) + 4%i cos(-----------)cosh(x) - 2cos(-----------) +--R 4 4 4 +--R Type: Expression Complex Integer +--E 244 + +--S 245 of 510 +t0048:= x/(a+b*sinh(x))^2 +--R +--R +--R x +--R (214) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 245 + +--S 246 of 510 +r0048:= a*x*log(1+b*exp(x)/(a-(a^2+b^2)^(1/2)))/(a^2+b^2)^(3/2)-a*x*log(1+b*exp(x)/(a+(a^2+b^2)^(1/2)))/(a^2+b^2)^(3/2)+log(a+b*sinh(x))/(a^2+b^2)+a*polylog(2,-b*exp(x)/(a-(a^2+b^2)^(1/2)))/(a^2+b^2)^(3/2)-a*polylog(2,-b*exp(x)/(a+(a^2+b^2)^(1/2)))/(a^2+b^2)^(3/2)-b*x*cosh(x)/(a^2+b^2)/(a+b*sinh(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 246 + +--S 247 of 510 +a0048:= integrate(t0048,x) +--R +--R +--R x +--R ++ %N +--R (215) | -------------------------------- d%N +--R ++ 2 2 2 +--R b sinh(%N) + 2a b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 247 + +--S 248 of 510 +m0048:= a0048-r0048 +--R +--R +--R x +--R ++ %N +--R (216) | -------------------------------- d%N - r0048 +--R ++ 2 2 2 +--R b sinh(%N) + 2a b sinh(%N) + a +--R Type: Expression Integer +--E 248 + +--S 249 of 510 +d0048:= D(m0048,x) +--R +--R +--R x +--R (217) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 249 + +--S 250 of 510 +t0049:= x*(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R +----------------------+ +--R (218) x\|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 250 + +--S 251 of 510 +r0049:= -2*2^(1/2)*(a*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/4*%i*%pi+1/2*d*x)*(2*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)-d*x*sinh(1/2*c+1/4*%i*%pi+1/2*d*x))/d^2 +--R +--R +--R (219) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2d x\|2 sech(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 4\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R +---------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |a cosh(------------------) +--R \| 4 +--R / +--R 2 +--R d +--R Type: Expression Complex Integer +--E 251 + +--S 252 of 510 +a0049:= integrate(t0049,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 252 + +--S 253 of 510 +m0049:= a0049-r0049 +--R +--R +--R (220) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 2d x\|2 sech(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 4\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R +---------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |a cosh(------------------) +--R \| 4 +--R + +--R 2 +--R a0049 d +--R / +--R 2 +--R d +--R Type: Expression Complex Integer +--E 253 + +--S 254 of 510 +d0049:= D(m0049,x) +--R +--R +--R (221) +--R +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R a d x\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - 2a\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R tanh(------------------) +--R 4 +--R + +--R - +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R a d x\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R 2a\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - a d x\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R / +--R +---------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R d |a cosh(------------------) +--R \| 4 +--R Type: Expression Complex Integer +--E 254 + +--S 255 of 510 +t0050:= x^2*(a+%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2 +----------------------+ +--R (222) x \|%i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 255 + +--S 256 of 510 +r0050:= -2*2^(1/2)*(a*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/4*%i*%pi+1/2*d*x)*(4*d*x*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)-(8+d^2*x^2)*sinh(1/2*c+1/4*%i*%pi+1/2*d*x))/d^3 +--R +--R +--R (223) +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (2d x + 16)\|2 sech(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 8d x\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R +---------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |a cosh(------------------) +--R \| 4 +--R / +--R 3 +--R d +--R Type: Expression Complex Integer +--E 256 + +--S 257 of 510 +a0050:= integrate(t0050,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 257 + +--S 258 of 510 +m0050:= a0050-r0050 +--R +--R +--R (224) +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (- 2d x - 16)\|2 sech(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 8d x\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R +---------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |a cosh(------------------) +--R \| 4 +--R + +--R 3 +--R a0050 d +--R / +--R 3 +--R d +--R Type: Expression Complex Integer +--E 258 + +--S 259 of 510 +d0050:= D(m0050,x) +--R +--R +--R (225) +--R 2 2 +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R (a d x + 8a)\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - 4a d x\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R tanh(------------------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (- a d x - 8a)\|2 cosh(------------------)sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c 2 +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R 4a d x\|2 cosh(------------------) sech(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 3 2d x + %i %pi + 2c +--R - a d x \|2 cosh(------------------) sech(------------------) +--R 4 4 +--R / +--R +---------------------------+ +--R 2 | 2d x + %i %pi + 2c 2 +--R d |a cosh(------------------) +--R \| 4 +--R Type: Expression Complex Integer +--E 259 + +--S 260 of 510 +t0051:= (a+%i*a*sinh(c+d*x))^(1/2)/x +--R +--R +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R (226) ------------------------- +--R x +--R Type: Expression Complex Integer +--E 260 + +--S 261 of 510 +r0051:= 2^(1/2)*(a*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/4*%i*%pi+1/2*d*x)*(cosh(1/2*c+1/4*%i*%pi)*Chi(1/2*d*x)+sinh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 261 + +--S 262 of 510 +a0051:= integrate(t0051,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 262 + +--S 263 of 510 +m0051:= a0051-r0051 +--R +--R +--R (227) - r0051 + a0051 +--R Type: Polynomial Integer +--E 263 + +--S 264 of 510 +d0051:= D(m0051,x) +--R +--R +--R (228) 0 +--R Type: Polynomial Integer +--E 264 + +--S 265 of 510 +t0052:= (a+%i*a*sinh(c+d*x))^(1/2)/x^2 +--R +--R +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R (229) ------------------------- +--R 2 +--R x +--R Type: Expression Complex Integer +--E 265 + +--S 266 of 510 +r0052:= -1/2*2^(1/2)*(a*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/4*%i*%pi+1/2*d*x)*(2*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/x-d*Chi(1/2*d*x)*sinh(1/2*c+1/4*%i*%pi)-d*cosh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 266 + +--S 267 of 510 +a0052:= integrate(t0052,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 267 + +--S 268 of 510 +m0052:= a0052-r0052 +--R +--R +--R (230) - r0052 + a0052 +--R Type: Polynomial Integer +--E 268 + +--S 269 of 510 +d0052:= D(m0052,x) +--R +--R +--R (231) 0 +--R Type: Polynomial Integer +--E 269 + +--S 270 of 510 +t0053:= (a+%i*a*sinh(c+d*x))^(1/2)/x^3 +--R +--R +--R +----------------------+ +--R \|%i a sinh(d x + c) + a +--R (232) ------------------------- +--R 3 +--R x +--R Type: Expression Complex Integer +--E 270 + +--S 271 of 510 +r0053:= -1/8*2^(1/2)*(a*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/4*%i*%pi+1/2*d*x)*(4*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/x^2-d^2*cosh(1/2*c+1/4*%i*%pi)*Chi(1/2*d*x)+2*d*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/x-d^2*sinh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 271 + +--S 272 of 510 +a0053:= integrate(t0053,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 272 + +--S 273 of 510 +m0053:= a0053-r0053 +--R +--R +--R (233) - r0053 + a0053 +--R Type: Polynomial Integer +--E 273 + +--S 274 of 510 +d0053:= D(m0053,x) +--R +--R +--R (234) 0 +--R Type: Polynomial Integer +--E 274 + +--S 275 of 510 +t0054:= x*(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R +------------------------+ +--R (235) x\|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 275 + +--S 276 of 510 +r0054:= -2*%i*2^(1/2)*(-a*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*csch(1/2*c+1/4*%i*%pi+1/2*d*x)*(-2*%i*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)+%i*d*x*cosh(1/2*c+1/4*%i*%pi+1/2*d*x))/d^2 +--R +--R +--R (236) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 4\|2 csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 2d x\|2 cosh(------------------)csch(------------------) +--R 4 4 +--R * +--R +-----------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |- a sinh(------------------) +--R \| 4 +--R / +--R 2 +--R d +--R Type: Expression Complex Integer +--E 276 + +--S 277 of 510 +a0054:= integrate(t0054,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 277 + +--S 278 of 510 +m0054:= a0054-r0054 +--R +--R +--R (237) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 4\|2 csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 2d x\|2 cosh(------------------)csch(------------------) +--R 4 4 +--R * +--R +-----------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |- a sinh(------------------) +--R \| 4 +--R + +--R 2 +--R a0054 d +--R / +--R 2 +--R d +--R Type: Expression Complex Integer +--E 278 + +--S 279 of 510 +d0054:= D(m0054,x) +--R +--R +--R (238) +--R +-+ 2d x + %i %pi + 2c +-+ 2d x + %i %pi + 2c +--R (2a\|2 coth(------------------) + a d x\|2 )csch(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c 3 +--R sinh(------------------) +--R 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - a d x\|2 cosh(------------------)coth(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c +--R - 2a\|2 cosh(------------------) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c 2 +--R csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R a d x\|2 cosh(------------------) csch(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R / +--R +-----------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R d |- a sinh(------------------) +--R \| 4 +--R Type: Expression Complex Integer +--E 279 + +--S 280 of 510 +t0055:= x^2*(a-%i*a*sinh(c+d*x))^(1/2) +--R +--R +--R 2 +------------------------+ +--R (239) x \|- %i a sinh(d x + c) + a +--R Type: Expression Complex Integer +--E 280 + +--S 281 of 510 +r0055:= -2*%i*2^(1/2)*(-a*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*csch(1/2*c+1/4*%i*%pi+1/2*d*x)*(-4*%i*d*x*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)+%i*(8+d^2*x^2)*cosh(1/2*c+1/4*%i*%pi+1/2*d*x))/d^3 +--R +--R +--R (240) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R - 8d x\|2 csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (2d x + 16)\|2 cosh(------------------)csch(------------------) +--R 4 4 +--R * +--R +-----------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |- a sinh(------------------) +--R \| 4 +--R / +--R 3 +--R d +--R Type: Expression Complex Integer +--E 281 + +--S 282 of 510 +a0055:= integrate(t0055,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 282 + +--S 283 of 510 +m0055:= a0055-r0055 +--R +--R +--R (241) +--R +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R 8d x\|2 csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (- 2d x - 16)\|2 cosh(------------------)csch(------------------) +--R 4 4 +--R * +--R +-----------------------------+ +--R | 2d x + %i %pi + 2c 2 +--R |- a sinh(------------------) +--R \| 4 +--R + +--R 3 +--R a0055 d +--R / +--R 3 +--R d +--R Type: Expression Complex Integer +--E 283 + +--S 284 of 510 +d0055:= D(m0055,x) +--R +--R +--R (242) +--R +-+ 2d x + %i %pi + 2c 2 2 +-+ +--R (4a d x\|2 coth(------------------) + a d x \|2 ) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c 3 +--R csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 2d x + %i %pi + 2c +--R (- a d x - 8a)\|2 cosh(------------------)coth(------------------) +--R 4 4 +--R + +--R +-+ 2d x + %i %pi + 2c +--R - 4a d x\|2 cosh(------------------) +--R 4 +--R * +--R 2d x + %i %pi + 2c 2d x + %i %pi + 2c 2 +--R csch(------------------)sinh(------------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %i %pi + 2c 2 2d x + %i %pi + 2c +--R (a d x + 8a)\|2 cosh(------------------) csch(------------------) +--R 4 4 +--R * +--R 2d x + %i %pi + 2c +--R sinh(------------------) +--R 4 +--R / +--R +-----------------------------+ +--R 2 | 2d x + %i %pi + 2c 2 +--R d |- a sinh(------------------) +--R \| 4 +--R Type: Expression Complex Integer +--E 284 + +--S 285 of 510 +t0056:= (a-%i*a*sinh(c+d*x))^(1/2)/x +--R +--R +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R (243) --------------------------- +--R x +--R Type: Expression Complex Integer +--E 285 + +--S 286 of 510 +r0056:= %i*2^(1/2)*(-a*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*csch(1/2*c+1/4*%i*%pi+1/2*d*x)*(-%i*sinh(1/2*c+1/4*%i*%pi)*Chi(1/2*d*x)-%i*cosh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 286 + +--S 287 of 510 +a0056:= integrate(t0056,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 287 + +--S 288 of 510 +m0056:= a0056-r0056 +--R +--R +--R (244) - r0056 + a0056 +--R Type: Polynomial Integer +--E 288 + +--S 289 of 510 +d0056:= D(m0056,x) +--R +--R +--R (245) 0 +--R Type: Polynomial Integer +--E 289 + +--S 290 of 510 +t0057:= (a-%i*a*sinh(c+d*x))^(1/2)/x^2 +--R +--R +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R (246) --------------------------- +--R 2 +--R x +--R Type: Expression Complex Integer +--E 290 + +--S 291 of 510 +r0057:= -1/2*%i*2^(1/2)*(-a*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*csch(1/2*c+1/4*%i*%pi+1/2*d*x)*(-2*%i*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/x+%i*d*Chi(1/2*d*x)*cosh(1/2*c+1/4*%i*%pi)+%i*d*sinh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 291 + +--S 292 of 510 +a0057:= integrate(t0057,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 292 + +--S 293 of 510 +m0057:= a0057-r0057 +--R +--R +--R (247) - r0057 + a0057 +--R Type: Polynomial Integer +--E 293 + +--S 294 of 510 +d0057:= D(m0057,x) +--R +--R +--R (248) 0 +--R Type: Polynomial Integer +--E 294 + +--S 295 of 510 +t0058:= (a-%i*a*sinh(c+d*x))^(1/2)/x^3 +--R +--R +--R +------------------------+ +--R \|- %i a sinh(d x + c) + a +--R (249) --------------------------- +--R 3 +--R x +--R Type: Expression Complex Integer +--E 295 + +--S 296 of 510 +r0058:= -1/8*%i*2^(1/2)*(-a*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)^2)^(1/2)*csch(1/2*c+1/4*%i*%pi+1/2*d*x)*(-4*%i*sinh(1/2*c+1/4*%i*%pi+1/2*d*x)/x^2+%i*d^2*sinh(1/2*c+1/4*%i*%pi)*Chi(1/2*d*x)-2*%i*d*cosh(1/2*c+1/4*%i*%pi+1/2*d*x)/x+%i*d^2*cosh(1/2*c+1/4*%i*%pi)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 296 + +--S 297 of 510 +a0058:= integrate(t0058,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 297 + +--S 298 of 510 +m0058:= a0058-r0058 +--R +--R +--R (250) - r0058 + a0058 +--R Type: Polynomial Integer +--E 298 + +--S 299 of 510 +d0058:= D(m0058,x) +--R +--R +--R (251) 0 +--R Type: Polynomial Integer +--E 299 + +--S 300 of 510 +t0059:= 1/(a+b*sinh(x)^2) +--R +--R +--R 1 +--R (252) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 300 + +--S 301 of 510 +r0059:= atan((-a+b)^(1/2)*tanh(x)/a^(1/2))/a^(1/2)/(-a+b)^(1/2) +--R +--R +--R +-----+ +--R tanh(x)\|b - a +--R atan(---------------) +--R +-+ +--R \|a +--R (253) --------------------- +--R +-+ +-----+ +--R \|a \|b - a +--R Type: Expression Integer +--E 301 + +--S 302 of 510 +a0059:= integrate(t0059,x) +--R +--R +--R (254) +--R [ +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R / +--R +----------+ +--R | 2 +--R 2\|- a b + a +--R , +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R -----------------------------------------------------------------------] +--R +--------+ +--R | 2 +--R \|a b - a +--R Type: Union(List Expression Integer,...) +--E 302 + +--S 303 of 510 +m0059a:= a0059.1-r0059 +--R +--R +--R (255) +--R +-+ +-----+ +--R \|a \|b - a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +----------+ +-----+ +--R | 2 tanh(x)\|b - a +--R - 2\|- a b + a atan(---------------) +--R +-+ +--R \|a +--R / +--R +----------+ +--R | 2 +-+ +-----+ +--R 2\|- a b + a \|a \|b - a +--R Type: Expression Integer +--E 303 + +--S 304 of 510 +d0059a:= D(m0059a,x) +--R +--R +--R (256) +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4b cosh(x))sinh(x) + b cosh(x) + 2b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) + 4b cosh(x))sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 304 + +--S 305 of 510 +m0059b:= a0059.2-r0059 +--R +--R +--R (257) +--R +-+ +-----+ +--R \|a \|b - a +--R * +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R + +--R +--------+ +-----+ +--R | 2 tanh(x)\|b - a +--R - \|a b - a atan(---------------) +--R +-+ +--R \|a +--R / +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b - a \|a b - a +--R Type: Expression Integer +--E 305 + +--S 306 of 510 +d0059b:= D(m0059b,x) +--R +--R +--R (258) +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4b cosh(x))sinh(x) + b cosh(x) + 2b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) + 4b cosh(x))sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 306 + +--S 307 of 510 +t0060:= 1/(a+b*sinh(x)^2)^2 +--R +--R +--R 1 +--R (259) ------------------------------- +--R 2 4 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 307 + +--S 308 of 510 +r0060:= -1/2*(2*a-b)*atan((-a+b)^(1/2)*tanh(x)/a^(1/2))/a^(3/2)/(-a+b)^(3/2)-1/2*b*tanh(x)/a/(a-b)/(a-(a-b)*tanh(x)^2) +--R +--R +--R (260) +--R +-----+ +--R 2 2 2 2 tanh(x)\|b - a +--R ((b - 3a b + 2a )tanh(x) + a b - 2a )atan(---------------) +--R +-+ +--R \|a +--R + +--R +-+ +-----+ +--R b tanh(x)\|a \|b - a +--R / +--R 2 2 3 2 2 3 +-+ +-----+ +--R ((2a b - 4a b + 2a )tanh(x) + 2a b - 2a )\|a \|b - a +--R Type: Expression Integer +--E 308 + +--S 309 of 510 +a0060:= integrate(t0060,x) +--R +--R +--R (261) +--R [ +--R 2 4 2 3 +--R (b - 2a b)sinh(x) + (4b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 12a b)cosh(x) - 2b + 8a b - 8a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 8a b)cosh(x) + (- 4b + 16a b - 16a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - 2a b)cosh(x) + (- 2b + 8a b - 8a )cosh(x) + b - 2a b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 2 +--R (4b - 8a)sinh(x) + (8b - 16a)cosh(x)sinh(x) + (4b - 8a)cosh(x) +--R + +--R - 4b +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R / +--R 2 2 4 2 2 3 +--R (4a b - 4a b)sinh(x) + (16a b - 16a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((24a b - 24a b)cosh(x) - 8a b + 24a b - 16a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((16a b - 16a b)cosh(x) + (- 16a b + 48a b - 32a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 +--R (4a b - 4a b)cosh(x) + (- 8a b + 24a b - 16a )cosh(x) + 4a b +--R + +--R 2 +--R - 4a b +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R , +--R +--R 2 4 2 3 +--R (b - 2a b)sinh(x) + (4b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 12a b)cosh(x) - 2b + 8a b - 8a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 8a b)cosh(x) + (- 4b + 16a b - 16a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - 2a b)cosh(x) + (- 2b + 8a b - 8a )cosh(x) + b - 2a b +--R * +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R + +--R 2 2 +--R (2b - 4a)sinh(x) + (4b - 8a)cosh(x)sinh(x) + (2b - 4a)cosh(x) +--R + +--R - 2b +--R * +--R +--------+ +--R | 2 +--R \|a b - a +--R / +--R 2 2 4 2 2 3 +--R (2a b - 2a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((12a b - 12a b)cosh(x) - 4a b + 12a b - 8a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b - 8a b)cosh(x) + (- 8a b + 24a b - 16a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (2a b - 2a b)cosh(x) + (- 4a b + 12a b - 8a )cosh(x) + 2a b - 2a b +--R * +--R +--------+ +--R | 2 +--R \|a b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 309 + +--S 310 of 510 +m0060a:= a0060.1-r0060 +--R +--R +--R (262) +--R 3 2 2 4 +--R (b - 3a b + 2a b)sinh(x) +--R + +--R 3 2 2 3 +--R (4b - 12a b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 +--R ((6b - 18a b + 12a b)cosh(x) - 2b + 10a b - 16a b + 8a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (4b - 12a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 20a b - 32a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 4 +--R (b - 3a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 2b + 10a b - 16a b + 8a )cosh(x) + b - 3a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 4 2 2 3 +--R (a b - 2a b)sinh(x) + (4a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((6a b - 12a b)cosh(x) - 2a b + 8a b - 8a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((4a b - 8a b)cosh(x) + (- 4a b + 16a b - 16a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (a b - 2a b)cosh(x) + (- 2a b + 8a b - 8a )cosh(x) + a b - 2a b +--R * +--R +-+ +-----+ +--R \|a \|b - a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 3 2 2 4 +--R (- 2b + 6a b - 4a b)sinh(x) +--R + +--R 3 2 2 3 +--R (- 8b + 24a b - 16a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 12b + 36a b - 24a b)cosh(x) + 4b - 20a b + 32a b +--R + +--R 3 +--R - 16a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 8b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 +--R (8b - 40a b + 64a b - 32a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- 2b + 6a b - 4a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (4b - 20a b + 32a b - 16a )cosh(x) - 2b + 6a b - 4a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 4 2 2 3 +--R (- 2a b + 4a b)sinh(x) + (- 8a b + 16a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 12a b + 24a b)cosh(x) + 4a b - 16a b + 16a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 8a b + 16a b)cosh(x) + (8a b - 32a b + 32a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 +--R (- 2a b + 4a b)cosh(x) + (4a b - 16a b + 16a )cosh(x) - 2a b +--R + +--R 2 +--R 4a b +--R * +--R +----------+ +-----+ +--R | 2 tanh(x)\|b - a +--R \|- a b + a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 2 2 2 2 +--R (4b - 12a b + 8a )sinh(x) + (8b - 24a b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b - 12a b + 8a )cosh(x) - 4b + 4a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R - 2b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 12b cosh(x) + 4b - 8a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (- 8b cosh(x) + (8b - 16a b)cosh(x))sinh(x) - 2b cosh(x) +--R + +--R 2 2 2 +--R (4b - 8a b)cosh(x) - 2b +--R * +--R tanh(x) +--R + +--R 2 2 2 +--R (4a b - 8a )sinh(x) + (8a b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 +--R (4a b - 8a )cosh(x) - 4a b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b + a \|a \|b - a +--R / +--R 3 2 2 3 4 +--R (4a b - 8a b + 4a b)sinh(x) +--R + +--R 3 2 2 3 3 +--R (16a b - 32a b + 16a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (24a b - 48a b + 24a b)cosh(x) - 8a b + 32a b - 40a b +--R + +--R 4 +--R 16a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (16a b - 32a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 16a b + 64a b - 80a b + 32a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (4a b - 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 +--R (- 8a b + 32a b - 40a b + 16a )cosh(x) + 4a b - 8a b + 4a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (4a b - 4a b)sinh(x) + (16a b - 16a b)cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 2 3 4 2 +--R ((24a b - 24a b)cosh(x) - 8a b + 24a b - 16a )sinh(x) +--R + +--R 2 2 3 3 2 2 3 4 +--R ((16a b - 16a b)cosh(x) + (- 16a b + 48a b - 32a )cosh(x))sinh(x) +--R + +--R 2 2 3 4 2 2 3 4 2 2 2 3 +--R (4a b - 4a b)cosh(x) + (- 8a b + 24a b - 16a )cosh(x) + 4a b - 4a b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b + a \|a \|b - a +--R Type: Expression Integer +--E 310 + +--S 311 of 510 +d0060a:= D(m0060a,x) +--R +--R +--R (263) +--R 2 8 2 7 +--R - b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 28b cosh(x) + 4b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 56b cosh(x) + (24b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (- 70b cosh(x) + (60b - 120a b)cosh(x) + 10b - 16a b)sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 56b cosh(x) + (80b - 160a b)cosh(x) + (40b - 64a b)cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R - 28b cosh(x) + (60b - 120a b)cosh(x) + (60b - 96a b)cosh(x) +--R + +--R 2 +--R 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 8b cosh(x) + (24b - 48a b)cosh(x) + (40b - 64a b)cosh(x) +--R + +--R 2 +--R (8b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - b cosh(x) + (4b - 8a b)cosh(x) + (10b - 16a b)cosh(x) +--R + +--R 2 2 2 +--R (4b - 8a b)cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 8 2 7 +--R 2b sinh(x) + 16b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (56b cosh(x) - 8b + 16a b)sinh(x) +--R + +--R 2 3 2 5 +--R (112b cosh(x) + (- 48b + 96a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (140b cosh(x) + (- 120b + 240a b)cosh(x) + 12b )sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (112b cosh(x) + (- 160b + 320a b)cosh(x) + 48b cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 56b cosh(x) + (- 120b + 240a b)cosh(x) + 72b cosh(x) - 8b +--R + +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R 16b cosh(x) + (- 48b + 96a b)cosh(x) + 48b cosh(x) +--R + +--R 2 +--R (- 16b + 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R 2b cosh(x) + (- 8b + 16a b)cosh(x) + 12b cosh(x) +--R + +--R 2 2 2 +--R (- 8b + 16a b)cosh(x) + 2b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 2 2 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) + 4b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 56b cosh(x) + (24b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (- 70b cosh(x) + (60b - 120a b)cosh(x) - 6b + 16a b)sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 56b cosh(x) + (80b - 160a b)cosh(x) + (- 24b + 64a b)cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R - 28b cosh(x) + (60b - 120a b)cosh(x) + (- 36b + 96a b)cosh(x) +--R + +--R 2 +--R 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 8b cosh(x) + (24b - 48a b)cosh(x) + (- 24b + 64a b)cosh(x) +--R + +--R 2 +--R (8b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - b cosh(x) + (4b - 8a b)cosh(x) + (- 6b + 16a b)cosh(x) +--R + +--R 2 2 2 +--R (4b - 8a b)cosh(x) - b +--R / +--R 4 3 2 2 8 4 3 2 2 7 +--R (b - 2a b + a b )sinh(x) + (8b - 16a b + 8a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 3 +--R ((28b - 56a b + 28a b )cosh(x) - 4b + 16a b - 20a b + 8a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (56b - 112a b + 56a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 24b + 96a b - 120a b + 48a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (70b - 140a b + 70a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 60b + 240a b - 300a b + 120a b)cosh(x) + 6b - 28a b +--R + +--R 2 2 3 4 +--R 54a b - 48a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (56b - 112a b + 56a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 80b + 320a b - 400a b + 160a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (24b - 112a b + 216a b - 192a b + 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (28b - 56a b + 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 60b + 240a b - 300a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (36b - 168a b + 324a b - 288a b + 96a )cosh(x) - 4b + 16a b +--R + +--R 2 2 3 +--R - 20a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (8b - 16a b + 8a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 24b + 96a b - 120a b + 48a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (24b - 112a b + 216a b - 192a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 8b + 32a b - 40a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (b - 2a b + a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 4b + 16a b - 20a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (6b - 28a b + 54a b - 48a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 4b + 16a b - 20a b + 8a b)cosh(x) + b - 2a b + a b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 2 2 8 3 2 2 7 +--R (2a b - 2a b )sinh(x) + (16a b - 16a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 6 +--R ((56a b - 56a b )cosh(x) - 8a b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((112a b - 112a b )cosh(x) + (- 48a b + 144a b - 96a b)cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (140a b - 140a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 120a b + 360a b - 240a b)cosh(x) + 12a b - 44a b + 64a b +--R + +--R 4 +--R - 32a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (112a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 160a b + 480a b - 320a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (48a b - 176a b + 256a b - 128a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (56a b - 56a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 120a b + 360a b - 240a b)cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (72a b - 264a b + 384a b - 192a )cosh(x) - 8a b + 24a b +--R + +--R 3 +--R - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 3 2 2 3 5 +--R (16a b - 16a b )cosh(x) + (- 48a b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (48a b - 176a b + 256a b - 128a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16a b + 48a b - 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (2a b - 2a b )cosh(x) + (- 8a b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (12a b - 44a b + 64a b - 32a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 8a b + 24a b - 16a b)cosh(x) + 2a b - 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 8 2 2 7 +--R a b sinh(x) + 8a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 6 +--R (28a b cosh(x) - 4a b + 8a b)sinh(x) +--R + +--R 2 2 3 2 2 3 5 +--R (56a b cosh(x) + (- 24a b + 48a b)cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 3 4 +--R (70a b cosh(x) + (- 60a b + 120a b)cosh(x) + 6a b - 16a b + 16a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 3 +--R 56a b cosh(x) + (- 80a b + 160a b)cosh(x) +--R + +--R 2 2 3 4 +--R (24a b - 64a b + 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 2 3 4 +--R 28a b cosh(x) + (- 60a b + 120a b)cosh(x) +--R + +--R 2 2 3 4 2 2 2 3 +--R (36a b - 96a b + 96a )cosh(x) - 4a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 2 3 5 +--R 8a b cosh(x) + (- 24a b + 48a b)cosh(x) +--R + +--R 2 2 3 4 3 2 2 3 +--R (24a b - 64a b + 64a )cosh(x) + (- 8a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 2 3 6 2 2 3 4 4 +--R a b cosh(x) + (- 4a b + 8a b)cosh(x) + (6a b - 16a b + 16a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (- 4a b + 8a b)cosh(x) + a b +--R Type: Expression Integer +--E 311 + +--S 312 of 510 +m0060b:= a0060.2-r0060 +--R +--R +--R (264) +--R 3 2 2 4 +--R (b - 3a b + 2a b)sinh(x) +--R + +--R 3 2 2 3 +--R (4b - 12a b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 +--R ((6b - 18a b + 12a b)cosh(x) - 2b + 10a b - 16a b + 8a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (4b - 12a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 20a b - 32a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 4 +--R (b - 3a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 2b + 10a b - 16a b + 8a )cosh(x) + b - 3a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 4 2 2 3 +--R (a b - 2a b)sinh(x) + (4a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((6a b - 12a b)cosh(x) - 2a b + 8a b - 8a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((4a b - 8a b)cosh(x) + (- 4a b + 16a b - 16a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (a b - 2a b)cosh(x) + (- 2a b + 8a b - 8a )cosh(x) + a b - 2a b +--R * +--R +-+ +-----+ +--R \|a \|b - a +--R * +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R + +--R 3 2 2 4 +--R (- b + 3a b - 2a b)sinh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 12a b - 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 +--R ((- 6b + 18a b - 12a b)cosh(x) + 2b - 10a b + 16a b - 8a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 12a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 20a b + 32a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- b + 3a b - 2a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (2b - 10a b + 16a b - 8a )cosh(x) - b + 3a b - 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 4 2 2 3 +--R (- a b + 2a b)sinh(x) + (- 4a b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 6a b + 12a b)cosh(x) + 2a b - 8a b + 8a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 4a b + 8a b)cosh(x) + (4a b - 16a b + 16a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (- a b + 2a b)cosh(x) + (2a b - 8a b + 8a )cosh(x) - a b + 2a b +--R * +--R +--------+ +-----+ +--R | 2 tanh(x)\|b - a +--R \|a b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 2 2 2 2 +--R (2b - 6a b + 4a )sinh(x) + (4b - 12a b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (2b - 6a b + 4a )cosh(x) - 2b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R - b sinh(x) - 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 6b cosh(x) + 2b - 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (- 4b cosh(x) + (4b - 8a b)cosh(x))sinh(x) - b cosh(x) +--R + +--R 2 2 2 +--R (2b - 4a b)cosh(x) - b +--R * +--R tanh(x) +--R + +--R 2 2 2 +--R (2a b - 4a )sinh(x) + (4a b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 +--R (2a b - 4a )cosh(x) - 2a b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b - a \|a b - a +--R / +--R 3 2 2 3 4 +--R (2a b - 4a b + 2a b)sinh(x) +--R + +--R 3 2 2 3 3 +--R (8a b - 16a b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (12a b - 24a b + 12a b)cosh(x) - 4a b + 16a b - 20a b +--R + +--R 4 +--R 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (8a b - 16a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 8a b + 32a b - 40a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (2a b - 4a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 +--R (- 4a b + 16a b - 20a b + 8a )cosh(x) + 2a b - 4a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (2a b - 2a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 2 3 4 2 +--R ((12a b - 12a b)cosh(x) - 4a b + 12a b - 8a )sinh(x) +--R + +--R 2 2 3 3 2 2 3 4 +--R ((8a b - 8a b)cosh(x) + (- 8a b + 24a b - 16a )cosh(x))sinh(x) +--R + +--R 2 2 3 4 2 2 3 4 2 2 2 3 +--R (2a b - 2a b)cosh(x) + (- 4a b + 12a b - 8a )cosh(x) + 2a b - 2a b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b - a \|a b - a +--R Type: Expression Integer +--E 312 + +--S 313 of 510 +d0060b:= D(m0060b,x) +--R +--R +--R (265) +--R 2 8 2 7 +--R - b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 28b cosh(x) + 4b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 56b cosh(x) + (24b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (- 70b cosh(x) + (60b - 120a b)cosh(x) + 10b - 16a b)sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 56b cosh(x) + (80b - 160a b)cosh(x) + (40b - 64a b)cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R - 28b cosh(x) + (60b - 120a b)cosh(x) + (60b - 96a b)cosh(x) +--R + +--R 2 +--R 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 8b cosh(x) + (24b - 48a b)cosh(x) + (40b - 64a b)cosh(x) +--R + +--R 2 +--R (8b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - b cosh(x) + (4b - 8a b)cosh(x) + (10b - 16a b)cosh(x) +--R + +--R 2 2 2 +--R (4b - 8a b)cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 8 2 7 +--R 2b sinh(x) + 16b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (56b cosh(x) - 8b + 16a b)sinh(x) +--R + +--R 2 3 2 5 +--R (112b cosh(x) + (- 48b + 96a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (140b cosh(x) + (- 120b + 240a b)cosh(x) + 12b )sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (112b cosh(x) + (- 160b + 320a b)cosh(x) + 48b cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 56b cosh(x) + (- 120b + 240a b)cosh(x) + 72b cosh(x) - 8b +--R + +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R 16b cosh(x) + (- 48b + 96a b)cosh(x) + 48b cosh(x) +--R + +--R 2 +--R (- 16b + 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R 2b cosh(x) + (- 8b + 16a b)cosh(x) + 12b cosh(x) +--R + +--R 2 2 2 +--R (- 8b + 16a b)cosh(x) + 2b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 2 2 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) + 4b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 56b cosh(x) + (24b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 4 +--R (- 70b cosh(x) + (60b - 120a b)cosh(x) - 6b + 16a b)sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 56b cosh(x) + (80b - 160a b)cosh(x) + (- 24b + 64a b)cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R - 28b cosh(x) + (60b - 120a b)cosh(x) + (- 36b + 96a b)cosh(x) +--R + +--R 2 +--R 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 8b cosh(x) + (24b - 48a b)cosh(x) + (- 24b + 64a b)cosh(x) +--R + +--R 2 +--R (8b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - b cosh(x) + (4b - 8a b)cosh(x) + (- 6b + 16a b)cosh(x) +--R + +--R 2 2 2 +--R (4b - 8a b)cosh(x) - b +--R / +--R 4 3 2 2 8 4 3 2 2 7 +--R (b - 2a b + a b )sinh(x) + (8b - 16a b + 8a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 3 +--R ((28b - 56a b + 28a b )cosh(x) - 4b + 16a b - 20a b + 8a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (56b - 112a b + 56a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 24b + 96a b - 120a b + 48a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (70b - 140a b + 70a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 60b + 240a b - 300a b + 120a b)cosh(x) + 6b - 28a b +--R + +--R 2 2 3 4 +--R 54a b - 48a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (56b - 112a b + 56a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 80b + 320a b - 400a b + 160a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (24b - 112a b + 216a b - 192a b + 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (28b - 56a b + 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 60b + 240a b - 300a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (36b - 168a b + 324a b - 288a b + 96a )cosh(x) - 4b + 16a b +--R + +--R 2 2 3 +--R - 20a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (8b - 16a b + 8a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 24b + 96a b - 120a b + 48a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (24b - 112a b + 216a b - 192a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 8b + 32a b - 40a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (b - 2a b + a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 4b + 16a b - 20a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (6b - 28a b + 54a b - 48a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 4b + 16a b - 20a b + 8a b)cosh(x) + b - 2a b + a b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 2 2 8 3 2 2 7 +--R (2a b - 2a b )sinh(x) + (16a b - 16a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 6 +--R ((56a b - 56a b )cosh(x) - 8a b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((112a b - 112a b )cosh(x) + (- 48a b + 144a b - 96a b)cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (140a b - 140a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 120a b + 360a b - 240a b)cosh(x) + 12a b - 44a b + 64a b +--R + +--R 4 +--R - 32a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (112a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 160a b + 480a b - 320a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (48a b - 176a b + 256a b - 128a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (56a b - 56a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 120a b + 360a b - 240a b)cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (72a b - 264a b + 384a b - 192a )cosh(x) - 8a b + 24a b +--R + +--R 3 +--R - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 3 2 2 3 5 +--R (16a b - 16a b )cosh(x) + (- 48a b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (48a b - 176a b + 256a b - 128a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16a b + 48a b - 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (2a b - 2a b )cosh(x) + (- 8a b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (12a b - 44a b + 64a b - 32a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 8a b + 24a b - 16a b)cosh(x) + 2a b - 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 8 2 2 7 +--R a b sinh(x) + 8a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 6 +--R (28a b cosh(x) - 4a b + 8a b)sinh(x) +--R + +--R 2 2 3 2 2 3 5 +--R (56a b cosh(x) + (- 24a b + 48a b)cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 3 4 +--R (70a b cosh(x) + (- 60a b + 120a b)cosh(x) + 6a b - 16a b + 16a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 3 +--R 56a b cosh(x) + (- 80a b + 160a b)cosh(x) +--R + +--R 2 2 3 4 +--R (24a b - 64a b + 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 2 3 4 +--R 28a b cosh(x) + (- 60a b + 120a b)cosh(x) +--R + +--R 2 2 3 4 2 2 2 3 +--R (36a b - 96a b + 96a )cosh(x) - 4a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 2 3 5 +--R 8a b cosh(x) + (- 24a b + 48a b)cosh(x) +--R + +--R 2 2 3 4 3 2 2 3 +--R (24a b - 64a b + 64a )cosh(x) + (- 8a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 2 3 6 2 2 3 4 4 +--R a b cosh(x) + (- 4a b + 8a b)cosh(x) + (6a b - 16a b + 16a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (- 4a b + 8a b)cosh(x) + a b +--R Type: Expression Integer +--E 313 + +--S 314 of 510 +t0061:= 1/(a+b*sinh(x)^2)^3 +--R +--R +--R 1 +--R (266) ----------------------------------------------- +--R 3 6 2 4 2 2 3 +--R b sinh(x) + 3a b sinh(x) + 3a b sinh(x) + a +--R Type: Expression Integer +--E 314 + +--S 315 of 510 +r0061:= 1/8*(8*a^2-8*a*b+3*b^2)*atanh((a-b)^(1/2)*tanh(x)/a^(1/2))/a^(5/2)/(a-b)^(5/2)-a*tanh(x)/(a-b)^2/(a-(a-b)*tanh(x)^2)^2+1/4*b^2*tanh(x)/a/(a-b)^2/(a-(a-b)*tanh(x)^2)^2+tanh(x)^3/(a-b)/(a-(a-b)*tanh(x)^2)^2+1/8*(8*a^2-8*a*b+3*b^2)*tanh(x)/a^2/(a-b)^2/(a-(a-b)*tanh(x)^2) +--R +--R +--R (267) +--R 4 3 2 2 3 4 4 +--R (3b - 14a b + 27a b - 24a b + 8a )tanh(x) +--R + +--R 3 2 2 3 4 2 2 2 3 4 +--R (6a b - 22a b + 32a b - 16a )tanh(x) + 3a b - 8a b + 8a +--R * +--R +-------+ +--R tanh(x)\|- b + a +--R atanh(-----------------) +--R +-+ +--R \|a +--R + +--R 3 2 2 3 2 2 +-------+ +-+ +--R ((3b - 11a b + 8a b)tanh(x) + (5a b - 8a b)tanh(x))\|- b + a \|a +--R / +--R 2 4 3 3 4 2 5 6 4 +--R (8a b - 32a b + 48a b - 32a b + 8a )tanh(x) +--R + +--R 3 3 4 2 5 6 2 4 2 5 6 +--R (16a b - 48a b + 48a b - 16a )tanh(x) + 8a b - 16a b + 8a +--R * +--R +-------+ +-+ +--R \|- b + a \|a +--R Type: Expression Integer +--E 315 + +--S 316 of 510 +a0061:= integrate(t0061,x) +--R +--R +--R (268) +--R [ +--R 4 3 2 2 8 +--R (3b - 8a b + 8a b )sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b - 64a b + 64a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (84b - 224a b + 224a b )cosh(x) - 12b + 56a b - 96a b +--R + +--R 3 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (168b - 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b + 336a b - 576a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (210b - 560a b + 560a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 180b + 840a b - 1440a b + 960a b)cosh(x) + 18b - 96a b +--R + +--R 2 2 3 4 +--R 224a b - 256a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (168b - 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 240b + 1120a b - 1920a b + 1280a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (72b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (84b - 224a b + 224a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 180b + 840a b - 1440a b + 960a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (108b - 576a b + 1344a b - 1536a b + 768a )cosh(x) - 12b +--R + +--R 3 2 2 3 +--R 56a b - 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b - 64a b + 64a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 72b + 336a b - 576a b + 384a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (72b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 24b + 112a b - 192a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (3b - 8a b + 8a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 12b + 56a b - 96a b + 64a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (18b - 96a b + 224a b - 256a b + 128a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 12b + 56a b - 96a b + 64a b)cosh(x) + 3b - 8a b + 8a b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 3 2 2 6 +--R (12b - 32a b + 32a b)sinh(x) +--R + +--R 3 2 2 5 +--R (72b - 192a b + 192a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (180b - 480a b + 480a b)cosh(x) - 36b + 168a b - 288a b +--R + +--R 3 +--R 192a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (240b - 640a b + 640a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 144b + 672a b - 1152a b + 768a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (180b - 480a b + 480a b)cosh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 216b + 1008a b - 1728a b + 1152a )cosh(x) + 36b +--R + +--R 2 2 +--R - 160a b + 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (72b - 192a b + 192a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 144b + 672a b - 1152a b + 768a )cosh(x) +--R + +--R 3 2 2 +--R (72b - 320a b + 320a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 6 +--R (12b - 32a b + 32a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 36b + 168a b - 288a b + 192a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (36b - 160a b + 160a b)cosh(x) - 12b + 24a b +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R / +--R 2 4 3 3 4 2 8 +--R (16a b - 32a b + 16a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (128a b - 256a b + 128a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (448a b - 896a b + 448a b )cosh(x) - 64a b + 256a b +--R + +--R 4 2 5 +--R - 320a b + 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (896a b - 1792a b + 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 384a b + 1536a b - 1920a b + 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (1120a b - 2240a b + 1120a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 960a b + 3840a b - 4800a b + 1920a b)cosh(x) + 96a b +--R + +--R 3 3 4 2 5 6 +--R - 448a b + 864a b - 768a b + 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (896a b - 1792a b + 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 1280a b + 5120a b - 6400a b + 2560a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (384a b - 1792a b + 3456a b - 3072a b + 1024a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 960a b + 3840a b - 4800a b + 1920a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (576a b - 2688a b + 5184a b - 4608a b + 1536a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R - 64a b + 256a b - 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (128a b - 256a b + 128a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 384a b + 1536a b - 1920a b + 768a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (384a b - 1792a b + 3456a b - 3072a b + 1024a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 128a b + 512a b - 640a b + 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (16a b - 32a b + 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (96a b - 448a b + 864a b - 768a b + 256a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) + 16a b - 32a b +--R + +--R 4 2 +--R 16a b +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R , +--R +--R 4 3 2 2 8 +--R (3b - 8a b + 8a b )sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b - 64a b + 64a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (84b - 224a b + 224a b )cosh(x) - 12b + 56a b - 96a b +--R + +--R 3 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (168b - 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b + 336a b - 576a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (210b - 560a b + 560a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 180b + 840a b - 1440a b + 960a b)cosh(x) + 18b - 96a b +--R + +--R 2 2 3 4 +--R 224a b - 256a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (168b - 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 240b + 1120a b - 1920a b + 1280a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (72b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (84b - 224a b + 224a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 180b + 840a b - 1440a b + 960a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (108b - 576a b + 1344a b - 1536a b + 768a )cosh(x) - 12b +--R + +--R 3 2 2 3 +--R 56a b - 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b - 64a b + 64a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 72b + 336a b - 576a b + 384a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (72b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 24b + 112a b - 192a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (3b - 8a b + 8a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 12b + 56a b - 96a b + 64a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (18b - 96a b + 224a b - 256a b + 128a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 12b + 56a b - 96a b + 64a b)cosh(x) + 3b - 8a b + 8a b +--R * +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R + +--R 3 2 2 6 +--R (6b - 16a b + 16a b)sinh(x) +--R + +--R 3 2 2 5 +--R (36b - 96a b + 96a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (90b - 240a b + 240a b)cosh(x) - 18b + 84a b - 144a b +--R + +--R 3 +--R 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (120b - 320a b + 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 72b + 336a b - 576a b + 384a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (90b - 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 108b + 504a b - 864a b + 576a )cosh(x) + 18b - 80a b +--R + +--R 2 +--R 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (36b - 96a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 72b + 336a b - 576a b + 384a )cosh(x) +--R + +--R 3 2 2 +--R (36b - 160a b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 6 +--R (6b - 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 18b + 84a b - 144a b + 96a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (18b - 80a b + 80a b)cosh(x) - 6b + 12a b +--R * +--R +--------+ +--R | 2 +--R \|a b - a +--R / +--R 2 4 3 3 4 2 8 +--R (8a b - 16a b + 8a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (64a b - 128a b + 64a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (224a b - 448a b + 224a b )cosh(x) - 32a b + 128a b +--R + +--R 4 2 5 +--R - 160a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 192a b + 768a b - 960a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (560a b - 1120a b + 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 480a b + 1920a b - 2400a b + 960a b)cosh(x) + 48a b +--R + +--R 3 3 4 2 5 6 +--R - 224a b + 432a b - 384a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 640a b + 2560a b - 3200a b + 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (192a b - 896a b + 1728a b - 1536a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (224a b - 448a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 480a b + 1920a b - 2400a b + 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (288a b - 1344a b + 2592a b - 2304a b + 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R - 32a b + 128a b - 160a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (64a b - 128a b + 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 192a b + 768a b - 960a b + 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (192a b - 896a b + 1728a b - 1536a b + 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (8a b - 16a b + 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 32a b + 128a b - 160a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (48a b - 224a b + 432a b - 384a b + 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (- 32a b + 128a b - 160a b + 64a b)cosh(x) + 8a b - 16a b + 8a b +--R * +--R +--------+ +--R | 2 +--R \|a b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 316 + +--S 317 of 510 +m0061a:= a0061.1-r0061 +--R +--R +--R (269) +--R 6 5 2 4 3 3 4 2 8 +--R (3b - 14a b + 27a b - 24a b + 8a b )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (24b - 112a b + 216a b - 192a b + 64a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (84b - 392a b + 756a b - 672a b + 224a b )cosh(x) - 12b +--R + +--R 5 2 4 3 3 4 2 5 +--R 80a b - 220a b + 312a b - 224a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (168b - 784a b + 1512a b - 1344a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 480a b - 1320a b + 1872a b - 1344a b +--R + +--R 5 +--R 384a b +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (210b - 980a b + 1890a b - 1680a b + 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 180b + 1200a b - 3300a b + 4680a b - 3360a b +--R + +--R 5 +--R 960a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 18b - 132a b + 434a b - 800a b + 864a b - 512a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (168b - 784a b + 1512a b - 1344a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 240b + 1600a b - 4400a b + 6240a b - 4480a b +--R + +--R 5 +--R 1280a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 72b - 528a b + 1736a b - 3200a b + 3456a b - 2048a b +--R + +--R 6 +--R 512a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (84b - 392a b + 756a b - 672a b + 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 180b + 1200a b - 3300a b + 4680a b - 3360a b +--R + +--R 5 +--R 960a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 108b - 792a b + 2604a b - 4800a b + 5184a b +--R + +--R 5 6 +--R - 3072a b + 768a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 12b + 80a b - 220a b + 312a b - 224a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (24b - 112a b + 216a b - 192a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 480a b - 1320a b + 1872a b - 1344a b +--R + +--R 5 +--R 384a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 72b - 528a b + 1736a b - 3200a b + 3456a b - 2048a b +--R + +--R 6 +--R 512a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 24b + 160a b - 440a b + 624a b - 448a b + 128a b) +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (3b - 14a b + 27a b - 24a b + 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b + 80a b - 220a b + 312a b - 224a b + 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (18b - 132a b + 434a b - 800a b + 864a b - 512a b + 128a ) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 12b + 80a b - 220a b + 312a b - 224a b + 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 3b - 14a b + 27a b - 24a b + 8a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (6a b - 22a b + 32a b - 16a b )sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (48a b - 176a b + 256a b - 128a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (168a b - 616a b + 896a b - 448a b )cosh(x) - 24a b +--R + +--R 2 4 3 3 4 2 5 +--R 136a b - 304a b + 320a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (336a b - 1232a b + 1792a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (420a b - 1540a b + 2240a b - 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 360a b + 2040a b - 4560a b + 4800a b - 1920a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 36a b - 228a b + 640a b - 960a b + 768a b - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (336a b - 1232a b + 1792a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 480a b + 2720a b - 6080a b + 6400a b - 2560a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 144a b - 912a b + 2560a b - 3840a b + 3072a b +--R + +--R 6 +--R - 1024a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (168a b - 616a b + 896a b - 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 360a b + 2040a b - 4560a b + 4800a b - 1920a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 216a b - 1368a b + 3840a b - 5760a b + 4608a b +--R + +--R 6 +--R - 1536a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 24a b + 136a b - 304a b + 320a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (48a b - 176a b + 256a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 144a b - 912a b + 2560a b - 3840a b + 3072a b +--R + +--R 6 +--R - 1024a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 48a b + 272a b - 608a b + 640a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (6a b - 22a b + 32a b - 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 24a b + 136a b - 304a b + 320a b - 128a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (36a b - 228a b + 640a b - 960a b + 768a b - 256a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (- 24a b + 136a b - 304a b + 320a b - 128a b)cosh(x) + 6a b +--R + +--R 2 4 3 3 4 2 +--R - 22a b + 32a b - 16a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (3a b - 8a b + 8a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (24a b - 64a b + 64a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 4 2 +--R (84a b - 224a b + 224a b )cosh(x) - 12a b + 56a b - 96a b +--R + +--R 5 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (168a b - 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 72a b + 336a b - 576a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (210a b - 560a b + 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 180a b + 840a b - 1440a b + 960a b)cosh(x) + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 96a b + 224a b - 256a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (168a b - 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 240a b + 1120a b - 1920a b + 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (72a b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (84a b - 224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 180a b + 840a b - 1440a b + 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (108a b - 576a b + 1344a b - 1536a b + 768a )cosh(x) - 12a b +--R + +--R 3 3 4 2 5 +--R 56a b - 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (24a b - 64a b + 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 72a b + 336a b - 576a b + 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (72a b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 24a b + 112a b - 192a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (3a b - 8a b + 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 12a b + 56a b - 96a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (18a b - 96a b + 224a b - 256a b + 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (- 12a b + 56a b - 96a b + 64a b)cosh(x) + 3a b - 8a b + 8a b +--R * +--R +-------+ +-+ +--R \|- b + a \|a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R * +--R +----------+ +--R | 2 +--R \|- a b + a +--R + +--R 2 2 2 2 2 +--R (4a b - 4a b)sinh(x) + (8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (4a b - 4a b)cosh(x) - 4a b + 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 6b + 28a b - 54a b + 48a b - 16a b )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 48b + 224a b - 432a b + 384a b - 128a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 168b + 784a b - 1512a b + 1344a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 24b - 160a b + 440a b - 624a b + 448a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 336b + 1568a b - 3024a b + 2688a b - 896a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (144b - 960a b + 2640a b - 3744a b + 2688a b - 768a b) +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 420b + 1960a b - 3780a b + 3360a b - 1120a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 360b - 2400a b + 6600a b - 9360a b + 6720a b +--R + +--R 5 +--R - 1920a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 36b + 264a b - 868a b + 1600a b - 1728a b + 1024a b +--R + +--R 6 +--R - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 336b + 1568a b - 3024a b + 2688a b - 896a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 480b - 3200a b + 8800a b - 12480a b + 8960a b +--R + +--R 5 +--R - 2560a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 144b + 1056a b - 3472a b + 6400a b - 6912a b +--R + +--R 5 6 +--R 4096a b - 1024a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 168b + 784a b - 1512a b + 1344a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 360b - 2400a b + 6600a b - 9360a b + 6720a b +--R + +--R 5 +--R - 1920a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 216b + 1584a b - 5208a b + 9600a b - 10368a b +--R + +--R 5 6 +--R 6144a b - 1536a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 24b - 160a b + 440a b - 624a b + 448a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 48b + 224a b - 432a b + 384a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (144b - 960a b + 2640a b - 3744a b + 2688a b - 768a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 144b + 1056a b - 3472a b + 6400a b - 6912a b +--R + +--R 5 6 +--R 4096a b - 1024a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (48b - 320a b + 880a b - 1248a b + 896a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 6b + 28a b - 54a b + 48a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (24b - 160a b + 440a b - 624a b + 448a b - 128a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 36b + 264a b - 868a b + 1600a b - 1728a b + 1024a b +--R + +--R 6 +--R - 256a +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (24b - 160a b + 440a b - 624a b + 448a b - 128a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 6b + 28a b - 54a b + 48a b - 16a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 12a b + 44a b - 64a b + 32a b )sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 96a b + 352a b - 512a b + 256a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 336a b + 1232a b - 1792a b + 896a b )cosh(x) + 48a b +--R + +--R 2 4 3 3 4 2 5 +--R - 272a b + 608a b - 640a b + 256a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 672a b + 2464a b - 3584a b + 1792a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (288a b - 1632a b + 3648a b - 3840a b + 1536a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 840a b + 3080a b - 4480a b + 2240a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (720a b - 4080a b + 9120a b - 9600a b + 3840a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 72a b + 456a b - 1280a b + 1920a b - 1536a b + 512a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 672a b + 2464a b - 3584a b + 1792a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (960a b - 5440a b + 12160a b - 12800a b + 5120a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 288a b + 1824a b - 5120a b + 7680a b - 6144a b +--R + +--R 6 +--R 2048a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 336a b + 1232a b - 1792a b + 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (720a b - 4080a b + 9120a b - 9600a b + 3840a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 432a b + 2736a b - 7680a b + 11520a b - 9216a b +--R + +--R 6 +--R 3072a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 48a b - 272a b + 608a b - 640a b + 256a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 96a b + 352a b - 512a b + 256a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (288a b - 1632a b + 3648a b - 3840a b + 1536a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 288a b + 1824a b - 5120a b + 7680a b - 6144a b +--R + +--R 6 +--R 2048a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (96a b - 544a b + 1216a b - 1280a b + 512a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 12a b + 44a b - 64a b + 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (48a b - 272a b + 608a b - 640a b + 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 456a b - 1280a b + 1920a b - 1536a b + 512a ) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (48a b - 272a b + 608a b - 640a b + 256a b)cosh(x) - 12a b +--R + +--R 2 4 3 3 4 2 +--R 44a b - 64a b + 32a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 6a b + 16a b - 16a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 48a b + 128a b - 128a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 168a b + 448a b - 448a b )cosh(x) + 24a b - 112a b +--R + +--R 4 2 5 +--R 192a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 336a b + 896a b - 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (144a b - 672a b + 1152a b - 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 420a b + 1120a b - 1120a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (360a b - 1680a b + 2880a b - 1920a b)cosh(x) - 36a b +--R + +--R 3 3 4 2 5 6 +--R 192a b - 448a b + 512a b - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 336a b + 896a b - 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (480a b - 2240a b + 3840a b - 2560a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 144a b + 768a b - 1792a b + 2048a b - 1024a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 168a b + 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (360a b - 1680a b + 2880a b - 1920a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 216a b + 1152a b - 2688a b + 3072a b - 1536a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 24a b - 112a b + 192a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 48a b + 128a b - 128a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (144a b - 672a b + 1152a b - 768a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 144a b + 768a b - 1792a b + 2048a b - 1024a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (48a b - 224a b + 384a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 6a b + 16a b - 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (24a b - 112a b + 192a b - 128a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 36a b + 192a b - 448a b + 512a b - 256a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (24a b - 112a b + 192a b - 128a b)cosh(x) - 6a b + 16a b - 16a b +--R * +--R +----------+ +-------+ +--R | 2 tanh(x)\|- b + a +--R \|- a b + a atanh(-----------------) +--R +-+ +--R \|a +--R + +--R 5 4 2 3 3 2 4 6 +--R (12b - 56a b + 108a b - 96a b + 32a b)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (72b - 336a b + 648a b - 576a b + 192a b)cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (180b - 840a b + 1620a b - 1440a b + 480a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - 36b + 240a b - 660a b + 936a b - 672a b + 192a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (240b - 1120a b + 2160a b - 1920a b + 640a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 144b + 960a b - 2640a b + 3744a b - 2688a b + 768a ) +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (180b - 840a b + 1620a b - 1440a b + 480a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 216b + 1440a b - 3960a b + 5616a b - 4032a b +--R + +--R 5 +--R 1152a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 36b - 232a b + 516a b - 480a b + 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (72b - 336a b + 648a b - 576a b + 192a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 144b + 960a b - 2640a b + 3744a b - 2688a b + 768a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (72b - 464a b + 1032a b - 960a b + 320a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (12b - 56a b + 108a b - 96a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (- 36b + 240a b - 660a b + 936a b - 672a b + 192a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (36b - 232a b + 516a b - 480a b + 160a b)cosh(x) - 12b +--R + +--R 4 2 3 3 2 +--R 48a b - 60a b + 24a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 4 2 3 8 +--R (- 6b + 22a b - 16a b )sinh(x) +--R + +--R 5 4 2 3 7 +--R (- 48b + 176a b - 128a b )cosh(x)sinh(x) +--R + +--R 5 4 2 3 2 5 4 +--R (- 168b + 616a b - 448a b )cosh(x) + 24b - 136a b +--R + +--R 2 3 3 2 +--R 240a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 +--R (- 336b + 1232a b - 896a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (144b - 816a b + 1440a b - 768a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 4 +--R (- 420b + 1540a b - 1120a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (360b - 2040a b + 3600a b - 1920a b )cosh(x) - 36b +--R + +--R 4 2 3 3 2 4 +--R 228a b - 544a b + 608a b - 256a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 5 +--R (- 336b + 1232a b - 896a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (480b - 2720a b + 4800a b - 2560a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 144b + 912a b - 2176a b + 2432a b - 1024a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 6 +--R (- 168b + 616a b - 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (360b - 2040a b + 3600a b - 1920a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 216b + 1368a b - 3264a b + 3648a b - 1536a b)cosh(x) +--R + +--R 5 4 2 3 3 2 +--R 24b - 136a b + 240a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 7 +--R (- 48b + 176a b - 128a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (144b - 816a b + 1440a b - 768a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 144b + 912a b - 2176a b + 2432a b - 1024a b)cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (48b - 272a b + 480a b - 256a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 8 +--R (- 6b + 22a b - 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (24b - 136a b + 240a b - 128a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 36b + 228a b - 544a b + 608a b - 256a b)cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (24b - 136a b + 240a b - 128a b )cosh(x) - 6b + 22a b +--R + +--R 2 3 +--R - 16a b +--R * +--R 3 +--R tanh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (24a b - 88a b + 128a b - 64a b)sinh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (144a b - 528a b + 768a b - 384a b)cosh(x)sinh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (360a b - 1320a b + 1920a b - 960a b)cosh(x) - 72a b +--R + +--R 2 3 3 2 4 5 +--R 408a b - 912a b + 960a b - 384a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (480a b - 1760a b + 2560a b - 1280a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 288a b + 1632a b - 3648a b + 3840a b - 1536a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (360a b - 1320a b + 1920a b - 960a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 432a b + 2448a b - 5472a b + 5760a b - 2304a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R 72a b - 392a b + 640a b - 320a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (144a b - 528a b + 768a b - 384a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 288a b + 1632a b - 3648a b + 3840a b - 1536a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (144a b - 784a b + 1280a b - 640a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (24a b - 88a b + 128a b - 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 72a b + 408a b - 912a b + 960a b - 384a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (72a b - 392a b + 640a b - 320a b)cosh(x) - 24a b + 72a b +--R + +--R 3 2 +--R - 48a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 2 3 8 4 2 3 7 +--R (- 10a b + 16a b )sinh(x) + (- 80a b + 128a b )cosh(x)sinh(x) +--R + +--R 4 2 3 2 4 2 3 3 2 +--R ((- 280a b + 448a b )cosh(x) + 40a b - 144a b + 128a b ) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 +--R (- 560a b + 896a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (240a b - 864a b + 768a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (- 700a b + 1120a b )cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (600a b - 2160a b + 1920a b )cosh(x) - 60a b + 256a b +--R + +--R 3 2 4 +--R - 416a b + 256a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 +--R (- 560a b + 896a b )cosh(x) +--R + +--R 4 2 3 3 2 3 +--R (800a b - 2880a b + 2560a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 240a b + 1024a b - 1664a b + 1024a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 +--R (- 280a b + 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (600a b - 2160a b + 1920a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 360a b + 1536a b - 2496a b + 1536a b)cosh(x) + 40a b +--R + +--R 2 3 3 2 +--R - 144a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 +--R (- 80a b + 128a b )cosh(x) +--R + +--R 4 2 3 3 2 5 +--R (240a b - 864a b + 768a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 240a b + 1024a b - 1664a b + 1024a b)cosh(x) +--R + +--R 4 2 3 3 2 +--R (80a b - 288a b + 256a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 +--R (- 10a b + 16a b )cosh(x) +--R + +--R 4 2 3 3 2 6 +--R (40a b - 144a b + 128a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 60a b + 256a b - 416a b + 256a b)cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (40a b - 144a b + 128a b )cosh(x) - 10a b + 16a b +--R * +--R tanh(x) +--R + +--R 2 3 3 2 4 6 +--R (12a b - 32a b + 32a b)sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (72a b - 192a b + 192a b)cosh(x)sinh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 4 +--R (180a b - 480a b + 480a b)cosh(x) - 36a b + 168a b - 288a b +--R + +--R 5 +--R 192a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 +--R (240a b - 640a b + 640a b)cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (- 144a b + 672a b - 1152a b + 768a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (180a b - 480a b + 480a b)cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 +--R (- 216a b + 1008a b - 1728a b + 1152a )cosh(x) + 36a b +--R + +--R 3 2 4 +--R - 160a b + 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (72a b - 192a b + 192a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 144a b + 672a b - 1152a b + 768a )cosh(x) +--R + +--R 2 3 3 2 4 +--R (72a b - 320a b + 320a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 4 6 +--R (12a b - 32a b + 32a b)cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 36a b + 168a b - 288a b + 192a )cosh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (36a b - 160a b + 160a b)cosh(x) - 12a b + 24a b +--R * +--R +----------+ +--R | 2 +-------+ +-+ +--R \|- a b + a \|- b + a \|a +--R / +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (16a b - 64a b + 96a b - 64a b + 16a b )sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (128a b - 512a b + 768a b - 512a b + 128a b )cosh(x)sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (448a b - 1792a b + 2688a b - 1792a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 64a b + 384a b - 896a b + 1024a b - 576a b + 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (896a b - 3584a b + 5376a b - 3584a b + 896a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 384a b + 2304a b - 5376a b + 6144a b - 3456a b +--R + +--R 7 +--R 768a b +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (1120a b - 4480a b + 6720a b - 4480a b + 1120a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 960a b + 5760a b - 13440a b + 15360a b - 8640a b +--R + +--R 7 +--R 1920a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 96a b - 640a b + 1856a b - 2944a b + 2656a b - 1280a b +--R + +--R 8 +--R 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 5 +--R (896a b - 3584a b + 5376a b - 3584a b + 896a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 1280a b + 7680a b - 17920a b + 20480a b - 11520a b +--R + +--R 7 +--R 2560a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 384a b - 2560a b + 7424a b - 11776a b + 10624a b +--R + +--R 7 8 +--R - 5120a b + 1024a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (448a b - 1792a b + 2688a b - 1792a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 960a b + 5760a b - 13440a b + 15360a b - 8640a b +--R + +--R 7 +--R 1920a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 576a b - 3840a b + 11136a b - 17664a b + 15936a b +--R + +--R 7 8 +--R - 7680a b + 1536a +--R * +--R 2 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 64a b + 384a b - 896a b + 1024a b - 576a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (128a b - 512a b + 768a b - 512a b + 128a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 384a b + 2304a b - 5376a b + 6144a b - 3456a b +--R + +--R 7 +--R 768a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 384a b - 2560a b + 7424a b - 11776a b + 10624a b +--R + +--R 7 8 +--R - 5120a b + 1024a +--R * +--R 3 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 128a b + 768a b - 1792a b + 2048a b - 1152a b +--R + +--R 7 +--R 256a b +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (16a b - 64a b + 96a b - 64a b + 16a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 64a b + 384a b - 896a b + 1024a b - 576a b + 128a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 96a b - 640a b + 1856a b - 2944a b + 2656a b - 1280a b +--R + +--R 8 +--R 256a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 64a b + 384a b - 896a b + 1024a b - 576a b + 128a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 16a b - 64a b + 96a b - 64a b + 16a b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (32a b - 96a b + 96a b - 32a b )sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (256a b - 768a b + 768a b - 256a b )cosh(x)sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 +--R (896a b - 2688a b + 2688a b - 896a b )cosh(x) - 128a b +--R + +--R 4 4 5 3 6 2 7 +--R 640a b - 1152a b + 896a b - 256a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 3 +--R (1792a b - 5376a b + 5376a b - 1792a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 768a b + 3840a b - 6912a b + 5376a b - 1536a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 4 +--R (2240a b - 6720a b + 6720a b - 2240a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 1920a b + 9600a b - 17280a b + 13440a b - 3840a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R 192a b - 1088a b + 2624a b - 3264a b + 2048a b - 512a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 5 +--R (1792a b - 5376a b + 5376a b - 1792a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 2560a b + 12800a b - 23040a b + 17920a b - 5120a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 768a b - 4352a b + 10496a b - 13056a b + 8192a b +--R + +--R 8 +--R - 2048a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (896a b - 2688a b + 2688a b - 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 1920a b + 9600a b - 17280a b + 13440a b - 3840a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 1152a b - 6528a b + 15744a b - 19584a b + 12288a b +--R + +--R 8 +--R - 3072a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 128a b + 640a b - 1152a b + 896a b - 256a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (256a b - 768a b + 768a b - 256a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 5 +--R (- 768a b + 3840a b - 6912a b + 5376a b - 1536a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 768a b - 4352a b + 10496a b - 13056a b + 8192a b +--R + +--R 8 +--R - 2048a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 256a b + 1280a b - 2304a b + 1792a b - 512a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (32a b - 96a b + 96a b - 32a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 6 +--R (- 128a b + 640a b - 1152a b + 896a b - 256a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (192a b - 1088a b + 2624a b - 3264a b + 2048a b - 512a ) +--R * +--R 4 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 2 +--R (- 128a b + 640a b - 1152a b + 896a b - 256a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R 32a b - 96a b + 96a b - 32a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (16a b - 32a b + 16a b )sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (128a b - 256a b + 128a b )cosh(x)sinh(x) +--R + +--R 4 4 5 3 6 2 2 4 4 5 3 6 2 +--R (448a b - 896a b + 448a b )cosh(x) - 64a b + 256a b - 320a b +--R + +--R 7 +--R 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 3 +--R (896a b - 1792a b + 896a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (- 384a b + 1536a b - 1920a b + 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (1120a b - 2240a b + 1120a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 +--R (- 960a b + 3840a b - 4800a b + 1920a b)cosh(x) + 96a b +--R + +--R 5 3 6 2 7 8 +--R - 448a b + 864a b - 768a b + 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 5 +--R (896a b - 1792a b + 896a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (- 1280a b + 5120a b - 6400a b + 2560a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (384a b - 1792a b + 3456a b - 3072a b + 1024a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 6 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (- 960a b + 3840a b - 4800a b + 1920a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 2 4 4 +--R (576a b - 2688a b + 5184a b - 4608a b + 1536a )cosh(x) - 64a b +--R + +--R 5 3 6 2 7 +--R 256a b - 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (128a b - 256a b + 128a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (- 384a b + 1536a b - 1920a b + 768a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 3 +--R (384a b - 1792a b + 3456a b - 3072a b + 1024a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (- 128a b + 512a b - 640a b + 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (16a b - 32a b + 16a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 4 +--R (96a b - 448a b + 864a b - 768a b + 256a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 5 3 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) + 16a b - 32a b +--R + +--R 6 2 +--R 16a b +--R * +--R +----------+ +--R | 2 +-------+ +-+ +--R \|- a b + a \|- b + a \|a +--R Type: Expression Integer +--E 317 + +--S 318 of 510 +d0061a:= D(m0061a,x) +--R +--R +--R (270) +--R 3 12 3 11 +--R b sinh(x) + 12b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (66b cosh(x) - 6b + 12a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (220b cosh(x) + (- 60b + 120a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R 495b cosh(x) + (- 270b + 540a b )cosh(x) + 15b - 48a b +--R + +--R 2 +--R 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R 792b cosh(x) + (- 720b + 1440a b )cosh(x) +--R + +--R 3 2 2 +--R (120b - 384a b + 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R 924b cosh(x) + (- 1260b + 2520a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (420b - 1344a b + 1344a b)cosh(x) + 44b - 120a b + 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R 792b cosh(x) + (- 1512b + 3024a b )cosh(x) +--R + +--R 3 2 2 3 +--R (840b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 2 2 +--R (264b - 720a b + 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R 495b cosh(x) + (- 1260b + 2520a b )cosh(x) +--R + +--R 3 2 2 4 +--R (1050b - 3360a b + 3360a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (660b - 1800a b + 1440a b)cosh(x) + 15b - 48a b + 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R 220b cosh(x) + (- 720b + 1440a b )cosh(x) +--R + +--R 3 2 2 5 +--R (840b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 2 2 3 +--R (880b - 2400a b + 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (60b - 192a b + 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R 66b cosh(x) + (- 270b + 540a b )cosh(x) +--R + +--R 3 2 2 6 +--R (420b - 1344a b + 1344a b)cosh(x) +--R + +--R 3 2 2 4 +--R (660b - 1800a b + 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (90b - 288a b + 288a b)cosh(x) - 6b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R 12b cosh(x) + (- 60b + 120a b )cosh(x) +--R + +--R 3 2 2 7 +--R (120b - 384a b + 384a b)cosh(x) +--R + +--R 3 2 2 5 +--R (264b - 720a b + 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (60b - 192a b + 192a b)cosh(x) + (- 12b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R b cosh(x) + (- 6b + 12a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (15b - 48a b + 48a b)cosh(x) + (44b - 120a b + 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (15b - 48a b + 48a b)cosh(x) + (- 6b + 12a b )cosh(x) + b +--R * +--R 6 +--R tanh(x) +--R + +--R 3 12 3 11 +--R - 3b sinh(x) - 36b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (- 198b cosh(x) + 18b - 36a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (- 660b cosh(x) + (180b - 360a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R - 1485b cosh(x) + (810b - 1620a b )cosh(x) - 45b + 144a b +--R + +--R 2 +--R - 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R - 2376b cosh(x) + (2160b - 4320a b )cosh(x) +--R + +--R 3 2 2 +--R (- 360b + 1152a b - 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R - 2772b cosh(x) + (3780b - 7560a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 1260b + 4032a b - 4032a b)cosh(x) + 60b - 24a b - 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R - 2376b cosh(x) + (4536b - 9072a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2520b + 8064a b - 8064a b)cosh(x) +--R + +--R 3 2 2 +--R (360b - 144a b - 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R - 1485b cosh(x) + (3780b - 7560a b )cosh(x) +--R + +--R 3 2 2 4 +--R (- 3150b + 10080a b - 10080a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (900b - 360a b - 1440a b)cosh(x) - 45b + 144a b - 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R - 660b cosh(x) + (2160b - 4320a b )cosh(x) +--R + +--R 3 2 2 5 +--R (- 2520b + 8064a b - 8064a b)cosh(x) +--R + +--R 3 2 2 3 +--R (1200b - 480a b - 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (- 180b + 576a b - 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R - 198b cosh(x) + (810b - 1620a b )cosh(x) +--R + +--R 3 2 2 6 +--R (- 1260b + 4032a b - 4032a b)cosh(x) +--R + +--R 3 2 2 4 +--R (900b - 360a b - 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 270b + 864a b - 864a b)cosh(x) + 18b - 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R - 36b cosh(x) + (180b - 360a b )cosh(x) +--R + +--R 3 2 2 7 +--R (- 360b + 1152a b - 1152a b)cosh(x) +--R + +--R 3 2 2 5 +--R (360b - 144a b - 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 180b + 576a b - 576a b)cosh(x) + (36b - 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R - 3b cosh(x) + (18b - 36a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (- 45b + 144a b - 144a b)cosh(x) + (60b - 24a b - 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 45b + 144a b - 144a b)cosh(x) + (18b - 36a b )cosh(x) - 3b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 12 3 11 +--R 3b sinh(x) + 36b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (198b cosh(x) - 18b + 36a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (660b cosh(x) + (- 180b + 360a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R 1485b cosh(x) + (- 810b + 1620a b )cosh(x) + 45b - 144a b +--R + +--R 2 +--R 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R 2376b cosh(x) + (- 2160b + 4320a b )cosh(x) +--R + +--R 3 2 2 +--R (360b - 1152a b + 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R 2772b cosh(x) + (- 3780b + 7560a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (1260b - 4032a b + 4032a b)cosh(x) - 60b + 216a b - 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R 2376b cosh(x) + (- 4536b + 9072a b )cosh(x) +--R + +--R 3 2 2 3 +--R (2520b - 8064a b + 8064a b)cosh(x) +--R + +--R 3 2 2 +--R (- 360b + 1296a b - 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R 1485b cosh(x) + (- 3780b + 7560a b )cosh(x) +--R + +--R 3 2 2 4 +--R (3150b - 10080a b + 10080a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 900b + 3240a b - 1440a b)cosh(x) + 45b - 144a b + 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R 660b cosh(x) + (- 2160b + 4320a b )cosh(x) +--R + +--R 3 2 2 5 +--R (2520b - 8064a b + 8064a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 1200b + 4320a b - 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (180b - 576a b + 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R 198b cosh(x) + (- 810b + 1620a b )cosh(x) +--R + +--R 3 2 2 6 +--R (1260b - 4032a b + 4032a b)cosh(x) +--R + +--R 3 2 2 4 +--R (- 900b + 3240a b - 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (270b - 864a b + 864a b)cosh(x) - 18b + 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R 36b cosh(x) + (- 180b + 360a b )cosh(x) +--R + +--R 3 2 2 7 +--R (360b - 1152a b + 1152a b)cosh(x) +--R + +--R 3 2 2 5 +--R (- 360b + 1296a b - 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (180b - 576a b + 576a b)cosh(x) + (- 36b + 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R 3b cosh(x) + (- 18b + 36a b )cosh(x) +--R + +--R 3 2 2 8 +--R (45b - 144a b + 144a b)cosh(x) +--R + +--R 3 2 2 6 +--R (- 60b + 216a b - 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (45b - 144a b + 144a b)cosh(x) + (- 18b + 36a b )cosh(x) + 3b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 12 3 11 +--R - b sinh(x) - 12b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (- 66b cosh(x) + 6b - 12a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (- 220b cosh(x) + (60b - 120a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 2 +--R (- 495b cosh(x) + (270b - 540a b )cosh(x) - 15b + 48a b - 48a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R - 792b cosh(x) + (720b - 1440a b )cosh(x) +--R + +--R 3 2 2 +--R (- 120b + 384a b - 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R - 924b cosh(x) + (1260b - 2520a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 420b + 1344a b - 1344a b)cosh(x) + 20b - 72a b + 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R - 792b cosh(x) + (1512b - 3024a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 840b + 2688a b - 2688a b)cosh(x) +--R + +--R 3 2 2 +--R (120b - 432a b + 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R - 495b cosh(x) + (1260b - 2520a b )cosh(x) +--R + +--R 3 2 2 4 +--R (- 1050b + 3360a b - 3360a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (300b - 1080a b + 1440a b)cosh(x) - 15b + 48a b - 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R - 220b cosh(x) + (720b - 1440a b )cosh(x) +--R + +--R 3 2 2 5 +--R (- 840b + 2688a b - 2688a b)cosh(x) +--R + +--R 3 2 2 3 +--R (400b - 1440a b + 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (- 60b + 192a b - 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R - 66b cosh(x) + (270b - 540a b )cosh(x) +--R + +--R 3 2 2 6 +--R (- 420b + 1344a b - 1344a b)cosh(x) +--R + +--R 3 2 2 4 +--R (300b - 1080a b + 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 90b + 288a b - 288a b)cosh(x) + 6b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R - 12b cosh(x) + (60b - 120a b )cosh(x) +--R + +--R 3 2 2 7 +--R (- 120b + 384a b - 384a b)cosh(x) +--R + +--R 3 2 2 5 +--R (120b - 432a b + 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 60b + 192a b - 192a b)cosh(x) + (12b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R - b cosh(x) + (6b - 12a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (- 15b + 48a b - 48a b)cosh(x) + (20b - 72a b + 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 15b + 48a b - 48a b)cosh(x) + (6b - 12a b )cosh(x) - b +--R / +--R 6 5 2 4 3 3 12 +--R (b - 3a b + 3a b - a b )sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (12b - 36a b + 36a b - 12a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (66b - 198a b + 198a b - 66a b )cosh(x) - 6b + 30a b +--R + +--R 2 4 3 3 4 2 +--R - 54a b + 42a b - 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (220b - 660a b + 660a b - 220a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 60b + 300a b - 540a b + 420a b - 120a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (495b - 1485a b + 1485a b - 495a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 270b + 1350a b - 2430a b + 1890a b - 540a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 15b - 93a b + 237a b - 303a b + 192a b - 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (792b - 2376a b + 2376a b - 792a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 720b + 3600a b - 6480a b + 5040a b - 1440a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (120b - 744a b + 1896a b - 2424a b + 1536a b - 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (924b - 2772a b + 2772a b - 924a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 1260b + 6300a b - 11340a b + 8820a b - 2520a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (420b - 2604a b + 6636a b - 8484a b + 5376a b - 1344a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 20b + 132a b - 372a b + 588a b - 552a b + 288a b - 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (792b - 2376a b + 2376a b - 792a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 1512b + 7560a b - 13608a b + 10584a b - 3024a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 840b - 5208a b + 13272a b - 16968a b + 10752a b +--R + +--R 5 +--R - 2688a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 120b + 792a b - 2232a b + 3528a b - 3312a b + 1728a b +--R + +--R 6 +--R - 384a +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 8 +--R (495b - 1485a b + 1485a b - 495a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 1260b + 6300a b - 11340a b + 8820a b - 2520a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 1050b - 6510a b + 16590a b - 21210a b + 13440a b +--R + +--R 5 +--R - 3360a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 300b + 1980a b - 5580a b + 8820a b - 8280a b + 4320a b +--R + +--R 6 +--R - 960a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 15b - 93a b + 237a b - 303a b + 192a b - 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 9 +--R (220b - 660a b + 660a b - 220a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 720b + 3600a b - 6480a b + 5040a b - 1440a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 840b - 5208a b + 13272a b - 16968a b + 10752a b +--R + +--R 5 +--R - 2688a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 400b + 2640a b - 7440a b + 11760a b - 11040a b +--R + +--R 5 6 +--R 5760a b - 1280a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (60b - 372a b + 948a b - 1212a b + 768a b - 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 10 +--R (66b - 198a b + 198a b - 66a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 270b + 1350a b - 2430a b + 1890a b - 540a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (420b - 2604a b + 6636a b - 8484a b + 5376a b - 1344a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 300b + 1980a b - 5580a b + 8820a b - 8280a b + 4320a b +--R + +--R 6 +--R - 960a +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (90b - 558a b + 1422a b - 1818a b + 1152a b - 288a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 6b + 30a b - 54a b + 42a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (12b - 36a b + 36a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (- 60b + 300a b - 540a b + 420a b - 120a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (120b - 744a b + 1896a b - 2424a b + 1536a b - 384a b) +--R * +--R 7 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 120b + 792a b - 2232a b + 3528a b - 3312a b + 1728a b +--R + +--R 6 +--R - 384a +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (60b - 372a b + 948a b - 1212a b + 768a b - 192a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 12b + 60a b - 108a b + 84a b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 12 +--R (b - 3a b + 3a b - a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 10 +--R (- 6b + 30a b - 54a b + 42a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 8 +--R (15b - 93a b + 237a b - 303a b + 192a b - 48a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 20b + 132a b - 372a b + 588a b - 552a b + 288a b - 64a ) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (15b - 93a b + 237a b - 303a b + 192a b - 48a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 5 +--R (- 6b + 30a b - 54a b + 42a b - 12a b )cosh(x) + b - 3a b +--R + +--R 2 4 3 3 +--R 3a b - a b +--R * +--R 6 +--R tanh(x) +--R + +--R 5 2 4 3 3 12 +--R (3a b - 6a b + 3a b )sinh(x) +--R + +--R 5 2 4 3 3 11 +--R (36a b - 72a b + 36a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 3 3 +--R (198a b - 396a b + 198a b )cosh(x) - 18a b + 72a b - 90a b +--R + +--R 4 2 +--R 36a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 2 4 3 3 3 +--R (660a b - 1320a b + 660a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 180a b + 720a b - 900a b + 360a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 +--R (1485a b - 2970a b + 1485a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 810a b + 3240a b - 4050a b + 1620a b )cosh(x) + 45a b +--R + +--R 2 4 3 3 4 2 5 +--R - 234a b + 477a b - 432a b + 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 4 3 3 5 +--R (2376a b - 4752a b + 2376a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 2160a b + 8640a b - 10800a b + 4320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (360a b - 1872a b + 3816a b - 3456a b + 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 4 3 3 6 +--R (2772a b - 5544a b + 2772a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 3780a b + 15120a b - 18900a b + 7560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (1260a b - 6552a b + 13356a b - 12096a b + 4032a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 60a b + 336a b - 780a b + 984a b - 672a b + 192a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 7 +--R (2376a b - 4752a b + 2376a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 4536a b + 18144a b - 22680a b + 9072a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (2520a b - 13104a b + 26712a b - 24192a b + 8064a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 360a b + 2016a b - 4680a b + 5904a b - 4032a b + 1152a ) +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 8 +--R (1485a b - 2970a b + 1485a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 3780a b + 15120a b - 18900a b + 7560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (3150a b - 16380a b + 33390a b - 30240a b + 10080a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 900a b + 5040a b - 11700a b + 14760a b - 10080a b +--R + +--R 6 +--R 2880a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 45a b - 234a b + 477a b - 432a b + 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 9 +--R (660a b - 1320a b + 660a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 2160a b + 8640a b - 10800a b + 4320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (2520a b - 13104a b + 26712a b - 24192a b + 8064a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 1200a b + 6720a b - 15600a b + 19680a b - 13440a b +--R + +--R 6 +--R 3840a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (180a b - 936a b + 1908a b - 1728a b + 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 10 +--R (198a b - 396a b + 198a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 810a b + 3240a b - 4050a b + 1620a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (1260a b - 6552a b + 13356a b - 12096a b + 4032a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 900a b + 5040a b - 11700a b + 14760a b - 10080a b +--R + +--R 6 +--R 2880a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (270a b - 1404a b + 2862a b - 2592a b + 864a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 18a b + 72a b - 90a b + 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 11 +--R (36a b - 72a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 9 +--R (- 180a b + 720a b - 900a b + 360a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (360a b - 1872a b + 3816a b - 3456a b + 1152a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 360a b + 2016a b - 4680a b + 5904a b - 4032a b + 1152a ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (180a b - 936a b + 1908a b - 1728a b + 576a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 36a b + 144a b - 180a b + 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 12 +--R (3a b - 6a b + 3a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 10 +--R (- 18a b + 72a b - 90a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 8 +--R (45a b - 234a b + 477a b - 432a b + 144a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 60a b + 336a b - 780a b + 984a b - 672a b + 192a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (45a b - 234a b + 477a b - 432a b + 144a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 3 3 +--R (- 18a b + 72a b - 90a b + 36a b )cosh(x) + 3a b - 6a b + 3a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 4 3 3 12 2 4 3 3 11 +--R (3a b - 3a b )sinh(x) + (36a b - 36a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 2 2 4 3 3 4 2 10 +--R ((198a b - 198a b )cosh(x) - 18a b + 54a b - 36a b )sinh(x) +--R + +--R 2 4 3 3 3 +--R (660a b - 660a b )cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (- 180a b + 540a b - 360a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 2 4 3 3 4 +--R (1485a b - 1485a b )cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 810a b + 2430a b - 1620a b )cosh(x) + 45a b - 189a b +--R + +--R 4 2 5 +--R 288a b - 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 5 +--R (2376a b - 2376a b )cosh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 2160a b + 6480a b - 4320a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (360a b - 1512a b + 2304a b - 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 6 +--R (2772a b - 2772a b )cosh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 3780a b + 11340a b - 7560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (1260a b - 5292a b + 8064a b - 4032a b)cosh(x) - 60a b +--R + +--R 3 3 4 2 5 6 +--R 276a b - 504a b + 480a b - 192a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 7 +--R (2376a b - 2376a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 4536a b + 13608a b - 9072a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (2520a b - 10584a b + 16128a b - 8064a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 360a b + 1656a b - 3024a b + 2880a b - 1152a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 8 +--R (1485a b - 1485a b )cosh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 3780a b + 11340a b - 7560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (3150a b - 13230a b + 20160a b - 10080a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 900a b + 4140a b - 7560a b + 7200a b - 2880a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 45a b - 189a b + 288a b - 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 9 +--R (660a b - 660a b )cosh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 2160a b + 6480a b - 4320a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (2520a b - 10584a b + 16128a b - 8064a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 1200a b + 5520a b - 10080a b + 9600a b - 3840a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (180a b - 756a b + 1152a b - 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 10 +--R (198a b - 198a b )cosh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 810a b + 2430a b - 1620a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (1260a b - 5292a b + 8064a b - 4032a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 900a b + 4140a b - 7560a b + 7200a b - 2880a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (270a b - 1134a b + 1728a b - 864a b)cosh(x) - 18a b +--R + +--R 3 3 4 2 +--R 54a b - 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 11 +--R (36a b - 36a b )cosh(x) +--R + +--R 2 4 3 3 4 2 9 +--R (- 180a b + 540a b - 360a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 7 +--R (360a b - 1512a b + 2304a b - 1152a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 360a b + 1656a b - 3024a b + 2880a b - 1152a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (180a b - 756a b + 1152a b - 576a b)cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (- 36a b + 108a b - 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 12 2 4 3 3 4 2 10 +--R (3a b - 3a b )cosh(x) + (- 18a b + 54a b - 36a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 8 +--R (45a b - 189a b + 288a b - 144a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 60a b + 276a b - 504a b + 480a b - 192a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (45a b - 189a b + 288a b - 144a b)cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 18a b + 54a b - 36a b )cosh(x) + 3a b - 3a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 3 12 3 3 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 3 3 2 3 3 4 2 10 +--R (66a b cosh(x) - 6a b + 12a b )sinh(x) +--R + +--R 3 3 3 3 3 4 2 9 +--R (220a b cosh(x) + (- 60a b + 120a b )cosh(x))sinh(x) +--R + +--R 3 3 4 3 3 4 2 2 3 3 4 2 +--R 495a b cosh(x) + (- 270a b + 540a b )cosh(x) + 15a b - 48a b +--R + +--R 5 +--R 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 5 3 3 4 2 3 +--R 792a b cosh(x) + (- 720a b + 1440a b )cosh(x) +--R + +--R 3 3 4 2 5 +--R (120a b - 384a b + 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 3 6 3 3 4 2 4 +--R 924a b cosh(x) + (- 1260a b + 2520a b )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 5 6 +--R (420a b - 1344a b + 1344a b)cosh(x) - 20a b + 72a b - 96a b + 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 7 3 3 4 2 5 +--R 792a b cosh(x) + (- 1512a b + 3024a b )cosh(x) +--R + +--R 3 3 4 2 5 3 +--R (840a b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (- 120a b + 432a b - 576a b + 384a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 3 8 3 3 4 2 6 +--R 495a b cosh(x) + (- 1260a b + 2520a b )cosh(x) +--R + +--R 3 3 4 2 5 4 +--R (1050a b - 3360a b + 3360a b)cosh(x) +--R + +--R 3 3 4 2 5 6 2 3 3 4 2 +--R (- 300a b + 1080a b - 1440a b + 960a )cosh(x) + 15a b - 48a b +--R + +--R 5 +--R 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 9 3 3 4 2 7 +--R 220a b cosh(x) + (- 720a b + 1440a b )cosh(x) +--R + +--R 3 3 4 2 5 5 +--R (840a b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 3 4 2 5 6 3 +--R (- 400a b + 1440a b - 1920a b + 1280a )cosh(x) +--R + +--R 3 3 4 2 5 +--R (60a b - 192a b + 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 10 3 3 4 2 8 +--R 66a b cosh(x) + (- 270a b + 540a b )cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (420a b - 1344a b + 1344a b)cosh(x) +--R + +--R 3 3 4 2 5 6 4 +--R (- 300a b + 1080a b - 1440a b + 960a )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (90a b - 288a b + 288a b)cosh(x) - 6a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 11 3 3 4 2 9 +--R 12a b cosh(x) + (- 60a b + 120a b )cosh(x) +--R + +--R 3 3 4 2 5 7 +--R (120a b - 384a b + 384a b)cosh(x) +--R + +--R 3 3 4 2 5 6 5 +--R (- 120a b + 432a b - 576a b + 384a )cosh(x) +--R + +--R 3 3 4 2 5 3 3 3 4 2 +--R (60a b - 192a b + 192a b)cosh(x) + (- 12a b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 12 3 3 4 2 10 +--R a b cosh(x) + (- 6a b + 12a b )cosh(x) +--R + +--R 3 3 4 2 5 8 +--R (15a b - 48a b + 48a b)cosh(x) +--R + +--R 3 3 4 2 5 6 6 +--R (- 20a b + 72a b - 96a b + 64a )cosh(x) +--R + +--R 3 3 4 2 5 4 3 3 4 2 2 3 3 +--R (15a b - 48a b + 48a b)cosh(x) + (- 6a b + 12a b )cosh(x) + a b +--R Type: Expression Integer +--E 318 + +--S 319 of 510 +m0061b:= a0061.2-r0061 +--R +--R +--R (271) +--R 6 5 2 4 3 3 4 2 8 +--R (- 3b + 14a b - 27a b + 24a b - 8a b )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 24b + 112a b - 216a b + 192a b - 64a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 84b + 392a b - 756a b + 672a b - 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 12b - 80a b + 220a b - 312a b + 224a b - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 168b + 784a b - 1512a b + 1344a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (72b - 480a b + 1320a b - 1872a b + 1344a b - 384a b) +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 210b + 980a b - 1890a b + 1680a b - 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 180b - 1200a b + 3300a b - 4680a b + 3360a b +--R + +--R 5 +--R - 960a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 18b + 132a b - 434a b + 800a b - 864a b + 512a b - 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 168b + 784a b - 1512a b + 1344a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 240b - 1600a b + 4400a b - 6240a b + 4480a b +--R + +--R 5 +--R - 1280a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 528a b - 1736a b + 3200a b - 3456a b +--R + +--R 5 6 +--R 2048a b - 512a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 84b + 392a b - 756a b + 672a b - 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 180b - 1200a b + 3300a b - 4680a b + 3360a b +--R + +--R 5 +--R - 960a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 108b + 792a b - 2604a b + 4800a b - 5184a b +--R + +--R 5 6 +--R 3072a b - 768a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 12b - 80a b + 220a b - 312a b + 224a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 24b + 112a b - 216a b + 192a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (72b - 480a b + 1320a b - 1872a b + 1344a b - 384a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 528a b - 1736a b + 3200a b - 3456a b +--R + +--R 5 6 +--R 2048a b - 512a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (24b - 160a b + 440a b - 624a b + 448a b - 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 3b + 14a b - 27a b + 24a b - 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (12b - 80a b + 220a b - 312a b + 224a b - 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 18b + 132a b - 434a b + 800a b - 864a b + 512a b +--R + +--R 6 +--R - 128a +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (12b - 80a b + 220a b - 312a b + 224a b - 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 3b + 14a b - 27a b + 24a b - 8a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 6a b + 22a b - 32a b + 16a b )sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 48a b + 176a b - 256a b + 128a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 168a b + 616a b - 896a b + 448a b )cosh(x) + 24a b +--R + +--R 2 4 3 3 4 2 5 +--R - 136a b + 304a b - 320a b + 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 336a b + 1232a b - 1792a b + 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (144a b - 816a b + 1824a b - 1920a b + 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 420a b + 1540a b - 2240a b + 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (360a b - 2040a b + 4560a b - 4800a b + 1920a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 36a b + 228a b - 640a b + 960a b - 768a b + 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 336a b + 1232a b - 1792a b + 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (480a b - 2720a b + 6080a b - 6400a b + 2560a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 144a b + 912a b - 2560a b + 3840a b - 3072a b +--R + +--R 6 +--R 1024a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 168a b + 616a b - 896a b + 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (360a b - 2040a b + 4560a b - 4800a b + 1920a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 216a b + 1368a b - 3840a b + 5760a b - 4608a b +--R + +--R 6 +--R 1536a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 24a b - 136a b + 304a b - 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 48a b + 176a b - 256a b + 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (144a b - 816a b + 1824a b - 1920a b + 768a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 144a b + 912a b - 2560a b + 3840a b - 3072a b +--R + +--R 6 +--R 1024a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (48a b - 272a b + 608a b - 640a b + 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 6a b + 22a b - 32a b + 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (24a b - 136a b + 304a b - 320a b + 128a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (- 36a b + 228a b - 640a b + 960a b - 768a b + 256a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (24a b - 136a b + 304a b - 320a b + 128a b)cosh(x) - 6a b +--R + +--R 2 4 3 3 4 2 +--R 22a b - 32a b + 16a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 3a b + 8a b - 8a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 24a b + 64a b - 64a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 4 2 +--R (- 84a b + 224a b - 224a b )cosh(x) + 12a b - 56a b + 96a b +--R + +--R 5 +--R - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 168a b + 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (72a b - 336a b + 576a b - 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 210a b + 560a b - 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (180a b - 840a b + 1440a b - 960a b)cosh(x) - 18a b + 96a b +--R + +--R 4 2 5 6 +--R - 224a b + 256a b - 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 168a b + 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (240a b - 1120a b + 1920a b - 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 72a b + 384a b - 896a b + 1024a b - 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 84a b + 224a b - 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (180a b - 840a b + 1440a b - 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 108a b + 576a b - 1344a b + 1536a b - 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 12a b - 56a b + 96a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 24a b + 64a b - 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (72a b - 336a b + 576a b - 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 72a b + 384a b - 896a b + 1024a b - 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (24a b - 112a b + 192a b - 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 3a b + 8a b - 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (12a b - 56a b + 96a b - 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 18a b + 96a b - 224a b + 256a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (12a b - 56a b + 96a b - 64a b)cosh(x) - 3a b + 8a b - 8a b +--R * +--R +--------+ +-------+ +--R | 2 tanh(x)\|- b + a +--R \|a b - a atanh(-----------------) +--R +-+ +--R \|a +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (3b - 14a b + 27a b - 24a b + 8a b )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (24b - 112a b + 216a b - 192a b + 64a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (84b - 392a b + 756a b - 672a b + 224a b )cosh(x) - 12b +--R + +--R 5 2 4 3 3 4 2 5 +--R 80a b - 220a b + 312a b - 224a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (168b - 784a b + 1512a b - 1344a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 480a b - 1320a b + 1872a b - 1344a b +--R + +--R 5 +--R 384a b +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (210b - 980a b + 1890a b - 1680a b + 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 180b + 1200a b - 3300a b + 4680a b - 3360a b +--R + +--R 5 +--R 960a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 18b - 132a b + 434a b - 800a b + 864a b - 512a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (168b - 784a b + 1512a b - 1344a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 240b + 1600a b - 4400a b + 6240a b - 4480a b +--R + +--R 5 +--R 1280a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 72b - 528a b + 1736a b - 3200a b + 3456a b - 2048a b +--R + +--R 6 +--R 512a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (84b - 392a b + 756a b - 672a b + 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 180b + 1200a b - 3300a b + 4680a b - 3360a b +--R + +--R 5 +--R 960a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 108b - 792a b + 2604a b - 4800a b + 5184a b +--R + +--R 5 6 +--R - 3072a b + 768a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 12b + 80a b - 220a b + 312a b - 224a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (24b - 112a b + 216a b - 192a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 72b + 480a b - 1320a b + 1872a b - 1344a b +--R + +--R 5 +--R 384a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 72b - 528a b + 1736a b - 3200a b + 3456a b - 2048a b +--R + +--R 6 +--R 512a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 24b + 160a b - 440a b + 624a b - 448a b + 128a b) +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (3b - 14a b + 27a b - 24a b + 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b + 80a b - 220a b + 312a b - 224a b + 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (18b - 132a b + 434a b - 800a b + 864a b - 512a b + 128a ) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 12b + 80a b - 220a b + 312a b - 224a b + 64a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 3b - 14a b + 27a b - 24a b + 8a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (6a b - 22a b + 32a b - 16a b )sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (48a b - 176a b + 256a b - 128a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (168a b - 616a b + 896a b - 448a b )cosh(x) - 24a b +--R + +--R 2 4 3 3 4 2 5 +--R 136a b - 304a b + 320a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (336a b - 1232a b + 1792a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (420a b - 1540a b + 2240a b - 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 360a b + 2040a b - 4560a b + 4800a b - 1920a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 36a b - 228a b + 640a b - 960a b + 768a b - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (336a b - 1232a b + 1792a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 480a b + 2720a b - 6080a b + 6400a b - 2560a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 144a b - 912a b + 2560a b - 3840a b + 3072a b +--R + +--R 6 +--R - 1024a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (168a b - 616a b + 896a b - 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 360a b + 2040a b - 4560a b + 4800a b - 1920a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 216a b - 1368a b + 3840a b - 5760a b + 4608a b +--R + +--R 6 +--R - 1536a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 24a b + 136a b - 304a b + 320a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (48a b - 176a b + 256a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 144a b - 912a b + 2560a b - 3840a b + 3072a b +--R + +--R 6 +--R - 1024a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 48a b + 272a b - 608a b + 640a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (6a b - 22a b + 32a b - 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 24a b + 136a b - 304a b + 320a b - 128a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (36a b - 228a b + 640a b - 960a b + 768a b - 256a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (- 24a b + 136a b - 304a b + 320a b - 128a b)cosh(x) + 6a b +--R + +--R 2 4 3 3 4 2 +--R - 22a b + 32a b - 16a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (3a b - 8a b + 8a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (24a b - 64a b + 64a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 4 2 +--R (84a b - 224a b + 224a b )cosh(x) - 12a b + 56a b - 96a b +--R + +--R 5 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (168a b - 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 72a b + 336a b - 576a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (210a b - 560a b + 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 180a b + 840a b - 1440a b + 960a b)cosh(x) + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 96a b + 224a b - 256a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (168a b - 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 240a b + 1120a b - 1920a b + 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (72a b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (84a b - 224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 180a b + 840a b - 1440a b + 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (108a b - 576a b + 1344a b - 1536a b + 768a )cosh(x) - 12a b +--R + +--R 3 3 4 2 5 +--R 56a b - 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (24a b - 64a b + 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 72a b + 336a b - 576a b + 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (72a b - 384a b + 896a b - 1024a b + 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 24a b + 112a b - 192a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (3a b - 8a b + 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 12a b + 56a b - 96a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (18a b - 96a b + 224a b - 256a b + 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (- 12a b + 56a b - 96a b + 64a b)cosh(x) + 3a b - 8a b + 8a b +--R * +--R +-------+ +-+ +--R \|- b + a \|a +--R * +--R +--------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a)\|a b - a +--R atan(-----------------------------------------------------------------) +--R 2 +--R 2a b - 2a +--R + +--R 5 4 2 3 3 2 4 6 +--R (6b - 28a b + 54a b - 48a b + 16a b)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (36b - 168a b + 324a b - 288a b + 96a b)cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (90b - 420a b + 810a b - 720a b + 240a b)cosh(x) - 18b +--R + +--R 4 2 3 3 2 4 5 +--R 120a b - 330a b + 468a b - 336a b + 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (120b - 560a b + 1080a b - 960a b + 320a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 72b + 480a b - 1320a b + 1872a b - 1344a b + 384a ) +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (90b - 420a b + 810a b - 720a b + 240a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 108b + 720a b - 1980a b + 2808a b - 2016a b + 576a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 18b - 116a b + 258a b - 240a b + 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (36b - 168a b + 324a b - 288a b + 96a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 72b + 480a b - 1320a b + 1872a b - 1344a b + 384a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (36b - 232a b + 516a b - 480a b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (6b - 28a b + 54a b - 48a b + 16a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (- 18b + 120a b - 330a b + 468a b - 336a b + 96a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (18b - 116a b + 258a b - 240a b + 80a b)cosh(x) - 6b +--R + +--R 4 2 3 3 2 +--R 24a b - 30a b + 12a b +--R * +--R 4 +--R tanh(x) +--R + +--R 5 4 2 3 8 +--R (- 3b + 11a b - 8a b )sinh(x) +--R + +--R 5 4 2 3 7 +--R (- 24b + 88a b - 64a b )cosh(x)sinh(x) +--R + +--R 5 4 2 3 2 5 4 +--R (- 84b + 308a b - 224a b )cosh(x) + 12b - 68a b +--R + +--R 2 3 3 2 +--R 120a b - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 +--R (- 168b + 616a b - 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (72b - 408a b + 720a b - 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 4 +--R (- 210b + 770a b - 560a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (180b - 1020a b + 1800a b - 960a b )cosh(x) - 18b +--R + +--R 4 2 3 3 2 4 +--R 114a b - 272a b + 304a b - 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 5 +--R (- 168b + 616a b - 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (240b - 1360a b + 2400a b - 1280a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 72b + 456a b - 1088a b + 1216a b - 512a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 6 +--R (- 84b + 308a b - 224a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (180b - 1020a b + 1800a b - 960a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 108b + 684a b - 1632a b + 1824a b - 768a b)cosh(x) +--R + +--R 5 4 2 3 3 2 +--R 12b - 68a b + 120a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 7 +--R (- 24b + 88a b - 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (72b - 408a b + 720a b - 384a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 72b + 456a b - 1088a b + 1216a b - 512a b)cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (24b - 136a b + 240a b - 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 8 +--R (- 3b + 11a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (12b - 68a b + 120a b - 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 18b + 114a b - 272a b + 304a b - 128a b)cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (12b - 68a b + 120a b - 64a b )cosh(x) - 3b + 11a b - 8a b +--R * +--R 3 +--R tanh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (12a b - 44a b + 64a b - 32a b)sinh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (72a b - 264a b + 384a b - 192a b)cosh(x)sinh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (180a b - 660a b + 960a b - 480a b)cosh(x) - 36a b +--R + +--R 2 3 3 2 4 5 +--R 204a b - 456a b + 480a b - 192a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (240a b - 880a b + 1280a b - 640a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (180a b - 660a b + 960a b - 480a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 216a b + 1224a b - 2736a b + 2880a b - 1152a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R 36a b - 196a b + 320a b - 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (72a b - 264a b + 384a b - 192a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 144a b + 816a b - 1824a b + 1920a b - 768a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (72a b - 392a b + 640a b - 320a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (12a b - 44a b + 64a b - 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 36a b + 204a b - 456a b + 480a b - 192a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (36a b - 196a b + 320a b - 160a b)cosh(x) - 12a b + 36a b +--R + +--R 3 2 +--R - 24a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 2 3 8 4 2 3 7 +--R (- 5a b + 8a b )sinh(x) + (- 40a b + 64a b )cosh(x)sinh(x) +--R + +--R 4 2 3 2 4 2 3 3 2 +--R ((- 140a b + 224a b )cosh(x) + 20a b - 72a b + 64a b ) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 +--R (- 280a b + 448a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (120a b - 432a b + 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (- 350a b + 560a b )cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (300a b - 1080a b + 960a b )cosh(x) - 30a b + 128a b +--R + +--R 3 2 4 +--R - 208a b + 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 +--R (- 280a b + 448a b )cosh(x) +--R + +--R 4 2 3 3 2 3 +--R (400a b - 1440a b + 1280a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 120a b + 512a b - 832a b + 512a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 +--R (- 140a b + 224a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (300a b - 1080a b + 960a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 180a b + 768a b - 1248a b + 768a b)cosh(x) + 20a b +--R + +--R 2 3 3 2 +--R - 72a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 +--R (- 40a b + 64a b )cosh(x) +--R + +--R 4 2 3 3 2 5 +--R (120a b - 432a b + 384a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 120a b + 512a b - 832a b + 512a b)cosh(x) +--R + +--R 4 2 3 3 2 +--R (40a b - 144a b + 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 4 2 3 3 2 6 +--R (- 5a b + 8a b )cosh(x) + (20a b - 72a b + 64a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 30a b + 128a b - 208a b + 128a b)cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (20a b - 72a b + 64a b )cosh(x) - 5a b + 8a b +--R * +--R tanh(x) +--R + +--R 2 3 3 2 4 6 +--R (6a b - 16a b + 16a b)sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (36a b - 96a b + 96a b)cosh(x)sinh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 4 +--R (90a b - 240a b + 240a b)cosh(x) - 18a b + 84a b - 144a b +--R + +--R 5 +--R 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 +--R (120a b - 320a b + 320a b)cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (- 72a b + 336a b - 576a b + 384a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (90a b - 240a b + 240a b)cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (- 108a b + 504a b - 864a b + 576a )cosh(x) + 18a b - 80a b +--R + +--R 4 +--R 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (36a b - 96a b + 96a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 72a b + 336a b - 576a b + 384a )cosh(x) +--R + +--R 2 3 3 2 4 +--R (36a b - 160a b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 4 6 +--R (6a b - 16a b + 16a b)cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 18a b + 84a b - 144a b + 96a )cosh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (18a b - 80a b + 80a b)cosh(x) - 6a b + 12a b +--R * +--R +--------+ +--R +-------+ +-+ | 2 +--R \|- b + a \|a \|a b - a +--R / +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (8a b - 32a b + 48a b - 32a b + 8a b )sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (64a b - 256a b + 384a b - 256a b + 64a b )cosh(x)sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (224a b - 896a b + 1344a b - 896a b + 224a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 32a b + 192a b - 448a b + 512a b - 288a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (448a b - 1792a b + 2688a b - 1792a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 192a b + 1152a b - 2688a b + 3072a b - 1728a b +--R + +--R 7 +--R 384a b +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (560a b - 2240a b + 3360a b - 2240a b + 560a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 480a b + 2880a b - 6720a b + 7680a b - 4320a b +--R + +--R 7 +--R 960a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R 48a b - 320a b + 928a b - 1472a b + 1328a b - 640a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 5 +--R (448a b - 1792a b + 2688a b - 1792a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 640a b + 3840a b - 8960a b + 10240a b - 5760a b +--R + +--R 7 +--R 1280a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 192a b - 1280a b + 3712a b - 5888a b + 5312a b +--R + +--R 7 8 +--R - 2560a b + 512a +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (224a b - 896a b + 1344a b - 896a b + 224a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 480a b + 2880a b - 6720a b + 7680a b - 4320a b +--R + +--R 7 +--R 960a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 288a b - 1920a b + 5568a b - 8832a b + 7968a b +--R + +--R 7 8 +--R - 3840a b + 768a +--R * +--R 2 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 32a b + 192a b - 448a b + 512a b - 288a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (64a b - 256a b + 384a b - 256a b + 64a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 192a b + 1152a b - 2688a b + 3072a b - 1728a b +--R + +--R 7 +--R 384a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 192a b - 1280a b + 3712a b - 5888a b + 5312a b +--R + +--R 7 8 +--R - 2560a b + 512a +--R * +--R 3 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 64a b + 384a b - 896a b + 1024a b - 576a b + 128a b) +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (8a b - 32a b + 48a b - 32a b + 8a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 6 +--R (- 32a b + 192a b - 448a b + 512a b - 288a b + 64a b)cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 48a b - 320a b + 928a b - 1472a b + 1328a b - 640a b +--R + +--R 8 +--R 128a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 32a b + 192a b - 448a b + 512a b - 288a b + 64a b)cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 8a b - 32a b + 48a b - 32a b + 8a b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (16a b - 48a b + 48a b - 16a b )sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (128a b - 384a b + 384a b - 128a b )cosh(x)sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 +--R (448a b - 1344a b + 1344a b - 448a b )cosh(x) - 64a b +--R + +--R 4 4 5 3 6 2 7 +--R 320a b - 576a b + 448a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 3 +--R (896a b - 2688a b + 2688a b - 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 384a b + 1920a b - 3456a b + 2688a b - 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 4 +--R (1120a b - 3360a b + 3360a b - 1120a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 2 +--R (- 960a b + 4800a b - 8640a b + 6720a b - 1920a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R 96a b - 544a b + 1312a b - 1632a b + 1024a b - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 5 +--R (896a b - 2688a b + 2688a b - 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 1280a b + 6400a b - 11520a b + 8960a b - 2560a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (384a b - 2176a b + 5248a b - 6528a b + 4096a b - 1024a ) +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (448a b - 1344a b + 1344a b - 448a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 4 +--R (- 960a b + 4800a b - 8640a b + 6720a b - 1920a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (576a b - 3264a b + 7872a b - 9792a b + 6144a b - 1536a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 64a b + 320a b - 576a b + 448a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (128a b - 384a b + 384a b - 128a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 5 +--R (- 384a b + 1920a b - 3456a b + 2688a b - 768a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (384a b - 2176a b + 5248a b - 6528a b + 4096a b - 1024a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 128a b + 640a b - 1152a b + 896a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (16a b - 48a b + 48a b - 16a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 6 +--R (- 64a b + 320a b - 576a b + 448a b - 128a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (96a b - 544a b + 1312a b - 1632a b + 1024a b - 256a )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 2 3 5 +--R (- 64a b + 320a b - 576a b + 448a b - 128a b)cosh(x) + 16a b +--R + +--R 4 4 5 3 6 2 +--R - 48a b + 48a b - 16a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (8a b - 16a b + 8a b )sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (64a b - 128a b + 64a b )cosh(x)sinh(x) +--R + +--R 4 4 5 3 6 2 2 4 4 5 3 6 2 +--R (224a b - 448a b + 224a b )cosh(x) - 32a b + 128a b - 160a b +--R + +--R 7 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 3 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (- 192a b + 768a b - 960a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (560a b - 1120a b + 560a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 +--R (- 480a b + 1920a b - 2400a b + 960a b)cosh(x) + 48a b +--R + +--R 5 3 6 2 7 8 +--R - 224a b + 432a b - 384a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 5 +--R (448a b - 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (- 640a b + 2560a b - 3200a b + 1280a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (192a b - 896a b + 1728a b - 1536a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 6 +--R (224a b - 448a b + 224a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (- 480a b + 1920a b - 2400a b + 960a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 2 4 4 +--R (288a b - 1344a b + 2592a b - 2304a b + 768a )cosh(x) - 32a b +--R + +--R 5 3 6 2 7 +--R 128a b - 160a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (64a b - 128a b + 64a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (- 192a b + 768a b - 960a b + 384a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 3 +--R (192a b - 896a b + 1728a b - 1536a b + 512a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (- 64a b + 256a b - 320a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (8a b - 16a b + 8a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (- 32a b + 128a b - 160a b + 64a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 4 +--R (48a b - 224a b + 432a b - 384a b + 128a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 5 3 6 2 +--R (- 32a b + 128a b - 160a b + 64a b)cosh(x) + 8a b - 16a b + 8a b +--R * +--R +--------+ +--R +-------+ +-+ | 2 +--R \|- b + a \|a \|a b - a +--R Type: Expression Integer +--E 319 + +--S 320 of 510 +d0061b:= D(m0061b,x) +--R +--R +--R (272) +--R 3 12 3 11 +--R b sinh(x) + 12b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (66b cosh(x) - 6b + 12a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (220b cosh(x) + (- 60b + 120a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R 495b cosh(x) + (- 270b + 540a b )cosh(x) + 15b - 48a b +--R + +--R 2 +--R 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R 792b cosh(x) + (- 720b + 1440a b )cosh(x) +--R + +--R 3 2 2 +--R (120b - 384a b + 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R 924b cosh(x) + (- 1260b + 2520a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (420b - 1344a b + 1344a b)cosh(x) + 44b - 120a b + 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R 792b cosh(x) + (- 1512b + 3024a b )cosh(x) +--R + +--R 3 2 2 3 +--R (840b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 2 2 +--R (264b - 720a b + 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R 495b cosh(x) + (- 1260b + 2520a b )cosh(x) +--R + +--R 3 2 2 4 +--R (1050b - 3360a b + 3360a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (660b - 1800a b + 1440a b)cosh(x) + 15b - 48a b + 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R 220b cosh(x) + (- 720b + 1440a b )cosh(x) +--R + +--R 3 2 2 5 +--R (840b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 2 2 3 +--R (880b - 2400a b + 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (60b - 192a b + 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R 66b cosh(x) + (- 270b + 540a b )cosh(x) +--R + +--R 3 2 2 6 +--R (420b - 1344a b + 1344a b)cosh(x) +--R + +--R 3 2 2 4 +--R (660b - 1800a b + 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (90b - 288a b + 288a b)cosh(x) - 6b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R 12b cosh(x) + (- 60b + 120a b )cosh(x) +--R + +--R 3 2 2 7 +--R (120b - 384a b + 384a b)cosh(x) +--R + +--R 3 2 2 5 +--R (264b - 720a b + 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (60b - 192a b + 192a b)cosh(x) + (- 12b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R b cosh(x) + (- 6b + 12a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (15b - 48a b + 48a b)cosh(x) + (44b - 120a b + 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (15b - 48a b + 48a b)cosh(x) + (- 6b + 12a b )cosh(x) + b +--R * +--R 6 +--R tanh(x) +--R + +--R 3 12 3 11 +--R - 3b sinh(x) - 36b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (- 198b cosh(x) + 18b - 36a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (- 660b cosh(x) + (180b - 360a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R - 1485b cosh(x) + (810b - 1620a b )cosh(x) - 45b + 144a b +--R + +--R 2 +--R - 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R - 2376b cosh(x) + (2160b - 4320a b )cosh(x) +--R + +--R 3 2 2 +--R (- 360b + 1152a b - 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R - 2772b cosh(x) + (3780b - 7560a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 1260b + 4032a b - 4032a b)cosh(x) + 60b - 24a b - 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R - 2376b cosh(x) + (4536b - 9072a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2520b + 8064a b - 8064a b)cosh(x) +--R + +--R 3 2 2 +--R (360b - 144a b - 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R - 1485b cosh(x) + (3780b - 7560a b )cosh(x) +--R + +--R 3 2 2 4 +--R (- 3150b + 10080a b - 10080a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (900b - 360a b - 1440a b)cosh(x) - 45b + 144a b - 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R - 660b cosh(x) + (2160b - 4320a b )cosh(x) +--R + +--R 3 2 2 5 +--R (- 2520b + 8064a b - 8064a b)cosh(x) +--R + +--R 3 2 2 3 +--R (1200b - 480a b - 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (- 180b + 576a b - 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R - 198b cosh(x) + (810b - 1620a b )cosh(x) +--R + +--R 3 2 2 6 +--R (- 1260b + 4032a b - 4032a b)cosh(x) +--R + +--R 3 2 2 4 +--R (900b - 360a b - 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 270b + 864a b - 864a b)cosh(x) + 18b - 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R - 36b cosh(x) + (180b - 360a b )cosh(x) +--R + +--R 3 2 2 7 +--R (- 360b + 1152a b - 1152a b)cosh(x) +--R + +--R 3 2 2 5 +--R (360b - 144a b - 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 180b + 576a b - 576a b)cosh(x) + (36b - 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R - 3b cosh(x) + (18b - 36a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (- 45b + 144a b - 144a b)cosh(x) + (60b - 24a b - 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 45b + 144a b - 144a b)cosh(x) + (18b - 36a b )cosh(x) - 3b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 12 3 11 +--R 3b sinh(x) + 36b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (198b cosh(x) - 18b + 36a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (660b cosh(x) + (- 180b + 360a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 +--R 1485b cosh(x) + (- 810b + 1620a b )cosh(x) + 45b - 144a b +--R + +--R 2 +--R 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R 2376b cosh(x) + (- 2160b + 4320a b )cosh(x) +--R + +--R 3 2 2 +--R (360b - 1152a b + 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R 2772b cosh(x) + (- 3780b + 7560a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (1260b - 4032a b + 4032a b)cosh(x) - 60b + 216a b - 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R 2376b cosh(x) + (- 4536b + 9072a b )cosh(x) +--R + +--R 3 2 2 3 +--R (2520b - 8064a b + 8064a b)cosh(x) +--R + +--R 3 2 2 +--R (- 360b + 1296a b - 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R 1485b cosh(x) + (- 3780b + 7560a b )cosh(x) +--R + +--R 3 2 2 4 +--R (3150b - 10080a b + 10080a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 900b + 3240a b - 1440a b)cosh(x) + 45b - 144a b + 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R 660b cosh(x) + (- 2160b + 4320a b )cosh(x) +--R + +--R 3 2 2 5 +--R (2520b - 8064a b + 8064a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 1200b + 4320a b - 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (180b - 576a b + 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R 198b cosh(x) + (- 810b + 1620a b )cosh(x) +--R + +--R 3 2 2 6 +--R (1260b - 4032a b + 4032a b)cosh(x) +--R + +--R 3 2 2 4 +--R (- 900b + 3240a b - 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (270b - 864a b + 864a b)cosh(x) - 18b + 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R 36b cosh(x) + (- 180b + 360a b )cosh(x) +--R + +--R 3 2 2 7 +--R (360b - 1152a b + 1152a b)cosh(x) +--R + +--R 3 2 2 5 +--R (- 360b + 1296a b - 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (180b - 576a b + 576a b)cosh(x) + (- 36b + 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R 3b cosh(x) + (- 18b + 36a b )cosh(x) +--R + +--R 3 2 2 8 +--R (45b - 144a b + 144a b)cosh(x) +--R + +--R 3 2 2 6 +--R (- 60b + 216a b - 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (45b - 144a b + 144a b)cosh(x) + (- 18b + 36a b )cosh(x) + 3b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 12 3 11 +--R - b sinh(x) - 12b cosh(x)sinh(x) +--R + +--R 3 2 3 2 10 +--R (- 66b cosh(x) + 6b - 12a b )sinh(x) +--R + +--R 3 3 3 2 9 +--R (- 220b cosh(x) + (60b - 120a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 2 +--R (- 495b cosh(x) + (270b - 540a b )cosh(x) - 15b + 48a b - 48a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 5 3 2 3 +--R - 792b cosh(x) + (720b - 1440a b )cosh(x) +--R + +--R 3 2 2 +--R (- 120b + 384a b - 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 6 3 2 4 +--R - 924b cosh(x) + (1260b - 2520a b )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 420b + 1344a b - 1344a b)cosh(x) + 20b - 72a b + 96a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 7 3 2 5 +--R - 792b cosh(x) + (1512b - 3024a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 840b + 2688a b - 2688a b)cosh(x) +--R + +--R 3 2 2 +--R (120b - 432a b + 576a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 8 3 2 6 +--R - 495b cosh(x) + (1260b - 2520a b )cosh(x) +--R + +--R 3 2 2 4 +--R (- 1050b + 3360a b - 3360a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (300b - 1080a b + 1440a b)cosh(x) - 15b + 48a b - 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 9 3 2 7 +--R - 220b cosh(x) + (720b - 1440a b )cosh(x) +--R + +--R 3 2 2 5 +--R (- 840b + 2688a b - 2688a b)cosh(x) +--R + +--R 3 2 2 3 +--R (400b - 1440a b + 1920a b)cosh(x) +--R + +--R 3 2 2 +--R (- 60b + 192a b - 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 10 3 2 8 +--R - 66b cosh(x) + (270b - 540a b )cosh(x) +--R + +--R 3 2 2 6 +--R (- 420b + 1344a b - 1344a b)cosh(x) +--R + +--R 3 2 2 4 +--R (300b - 1080a b + 1440a b)cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 90b + 288a b - 288a b)cosh(x) + 6b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 11 3 2 9 +--R - 12b cosh(x) + (60b - 120a b )cosh(x) +--R + +--R 3 2 2 7 +--R (- 120b + 384a b - 384a b)cosh(x) +--R + +--R 3 2 2 5 +--R (120b - 432a b + 576a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 60b + 192a b - 192a b)cosh(x) + (12b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 12 3 2 10 +--R - b cosh(x) + (6b - 12a b )cosh(x) +--R + +--R 3 2 2 8 3 2 2 6 +--R (- 15b + 48a b - 48a b)cosh(x) + (20b - 72a b + 96a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 15b + 48a b - 48a b)cosh(x) + (6b - 12a b )cosh(x) - b +--R / +--R 6 5 2 4 3 3 12 +--R (b - 3a b + 3a b - a b )sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (12b - 36a b + 36a b - 12a b )cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (66b - 198a b + 198a b - 66a b )cosh(x) - 6b + 30a b +--R + +--R 2 4 3 3 4 2 +--R - 54a b + 42a b - 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (220b - 660a b + 660a b - 220a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 60b + 300a b - 540a b + 420a b - 120a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (495b - 1485a b + 1485a b - 495a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 270b + 1350a b - 2430a b + 1890a b - 540a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 15b - 93a b + 237a b - 303a b + 192a b - 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (792b - 2376a b + 2376a b - 792a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 720b + 3600a b - 6480a b + 5040a b - 1440a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (120b - 744a b + 1896a b - 2424a b + 1536a b - 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (924b - 2772a b + 2772a b - 924a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 1260b + 6300a b - 11340a b + 8820a b - 2520a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (420b - 2604a b + 6636a b - 8484a b + 5376a b - 1344a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 20b + 132a b - 372a b + 588a b - 552a b + 288a b - 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (792b - 2376a b + 2376a b - 792a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 1512b + 7560a b - 13608a b + 10584a b - 3024a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 840b - 5208a b + 13272a b - 16968a b + 10752a b +--R + +--R 5 +--R - 2688a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 120b + 792a b - 2232a b + 3528a b - 3312a b + 1728a b +--R + +--R 6 +--R - 384a +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 8 +--R (495b - 1485a b + 1485a b - 495a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 1260b + 6300a b - 11340a b + 8820a b - 2520a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 1050b - 6510a b + 16590a b - 21210a b + 13440a b +--R + +--R 5 +--R - 3360a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 300b + 1980a b - 5580a b + 8820a b - 8280a b + 4320a b +--R + +--R 6 +--R - 960a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 15b - 93a b + 237a b - 303a b + 192a b - 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 9 +--R (220b - 660a b + 660a b - 220a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 720b + 3600a b - 6480a b + 5040a b - 1440a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 840b - 5208a b + 13272a b - 16968a b + 10752a b +--R + +--R 5 +--R - 2688a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 400b + 2640a b - 7440a b + 11760a b - 11040a b +--R + +--R 5 6 +--R 5760a b - 1280a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (60b - 372a b + 948a b - 1212a b + 768a b - 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 10 +--R (66b - 198a b + 198a b - 66a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 270b + 1350a b - 2430a b + 1890a b - 540a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (420b - 2604a b + 6636a b - 8484a b + 5376a b - 1344a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 300b + 1980a b - 5580a b + 8820a b - 8280a b + 4320a b +--R + +--R 6 +--R - 960a +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (90b - 558a b + 1422a b - 1818a b + 1152a b - 288a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 6b + 30a b - 54a b + 42a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (12b - 36a b + 36a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (- 60b + 300a b - 540a b + 420a b - 120a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (120b - 744a b + 1896a b - 2424a b + 1536a b - 384a b) +--R * +--R 7 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 120b + 792a b - 2232a b + 3528a b - 3312a b + 1728a b +--R + +--R 6 +--R - 384a +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (60b - 372a b + 948a b - 1212a b + 768a b - 192a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 12b + 60a b - 108a b + 84a b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 12 +--R (b - 3a b + 3a b - a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 10 +--R (- 6b + 30a b - 54a b + 42a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 8 +--R (15b - 93a b + 237a b - 303a b + 192a b - 48a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 20b + 132a b - 372a b + 588a b - 552a b + 288a b - 64a ) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (15b - 93a b + 237a b - 303a b + 192a b - 48a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 5 +--R (- 6b + 30a b - 54a b + 42a b - 12a b )cosh(x) + b - 3a b +--R + +--R 2 4 3 3 +--R 3a b - a b +--R * +--R 6 +--R tanh(x) +--R + +--R 5 2 4 3 3 12 +--R (3a b - 6a b + 3a b )sinh(x) +--R + +--R 5 2 4 3 3 11 +--R (36a b - 72a b + 36a b )cosh(x)sinh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 3 3 +--R (198a b - 396a b + 198a b )cosh(x) - 18a b + 72a b - 90a b +--R + +--R 4 2 +--R 36a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 2 4 3 3 3 +--R (660a b - 1320a b + 660a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 180a b + 720a b - 900a b + 360a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 +--R (1485a b - 2970a b + 1485a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 810a b + 3240a b - 4050a b + 1620a b )cosh(x) + 45a b +--R + +--R 2 4 3 3 4 2 5 +--R - 234a b + 477a b - 432a b + 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 4 3 3 5 +--R (2376a b - 4752a b + 2376a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 2160a b + 8640a b - 10800a b + 4320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (360a b - 1872a b + 3816a b - 3456a b + 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 4 3 3 6 +--R (2772a b - 5544a b + 2772a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 3780a b + 15120a b - 18900a b + 7560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (1260a b - 6552a b + 13356a b - 12096a b + 4032a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 60a b + 336a b - 780a b + 984a b - 672a b + 192a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 7 +--R (2376a b - 4752a b + 2376a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 4536a b + 18144a b - 22680a b + 9072a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (2520a b - 13104a b + 26712a b - 24192a b + 8064a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 360a b + 2016a b - 4680a b + 5904a b - 4032a b + 1152a ) +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 8 +--R (1485a b - 2970a b + 1485a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 3780a b + 15120a b - 18900a b + 7560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (3150a b - 16380a b + 33390a b - 30240a b + 10080a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 900a b + 5040a b - 11700a b + 14760a b - 10080a b +--R + +--R 6 +--R 2880a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 45a b - 234a b + 477a b - 432a b + 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 9 +--R (660a b - 1320a b + 660a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 2160a b + 8640a b - 10800a b + 4320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (2520a b - 13104a b + 26712a b - 24192a b + 8064a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 1200a b + 6720a b - 15600a b + 19680a b - 13440a b +--R + +--R 6 +--R 3840a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (180a b - 936a b + 1908a b - 1728a b + 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 10 +--R (198a b - 396a b + 198a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 810a b + 3240a b - 4050a b + 1620a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (1260a b - 6552a b + 13356a b - 12096a b + 4032a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 900a b + 5040a b - 11700a b + 14760a b - 10080a b +--R + +--R 6 +--R 2880a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (270a b - 1404a b + 2862a b - 2592a b + 864a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 18a b + 72a b - 90a b + 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 11 +--R (36a b - 72a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 9 +--R (- 180a b + 720a b - 900a b + 360a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (360a b - 1872a b + 3816a b - 3456a b + 1152a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 360a b + 2016a b - 4680a b + 5904a b - 4032a b + 1152a ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (180a b - 936a b + 1908a b - 1728a b + 576a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 36a b + 144a b - 180a b + 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 12 +--R (3a b - 6a b + 3a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 10 +--R (- 18a b + 72a b - 90a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 8 +--R (45a b - 234a b + 477a b - 432a b + 144a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 60a b + 336a b - 780a b + 984a b - 672a b + 192a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (45a b - 234a b + 477a b - 432a b + 144a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 3 3 +--R (- 18a b + 72a b - 90a b + 36a b )cosh(x) + 3a b - 6a b + 3a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 4 3 3 12 2 4 3 3 11 +--R (3a b - 3a b )sinh(x) + (36a b - 36a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 2 2 4 3 3 4 2 10 +--R ((198a b - 198a b )cosh(x) - 18a b + 54a b - 36a b )sinh(x) +--R + +--R 2 4 3 3 3 +--R (660a b - 660a b )cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (- 180a b + 540a b - 360a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 2 4 3 3 4 +--R (1485a b - 1485a b )cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 810a b + 2430a b - 1620a b )cosh(x) + 45a b - 189a b +--R + +--R 4 2 5 +--R 288a b - 144a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 5 +--R (2376a b - 2376a b )cosh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 2160a b + 6480a b - 4320a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (360a b - 1512a b + 2304a b - 1152a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 6 +--R (2772a b - 2772a b )cosh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 3780a b + 11340a b - 7560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (1260a b - 5292a b + 8064a b - 4032a b)cosh(x) - 60a b +--R + +--R 3 3 4 2 5 6 +--R 276a b - 504a b + 480a b - 192a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 7 +--R (2376a b - 2376a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 4536a b + 13608a b - 9072a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (2520a b - 10584a b + 16128a b - 8064a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 360a b + 1656a b - 3024a b + 2880a b - 1152a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 8 +--R (1485a b - 1485a b )cosh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 3780a b + 11340a b - 7560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (3150a b - 13230a b + 20160a b - 10080a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 900a b + 4140a b - 7560a b + 7200a b - 2880a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 45a b - 189a b + 288a b - 144a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 9 +--R (660a b - 660a b )cosh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 2160a b + 6480a b - 4320a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (2520a b - 10584a b + 16128a b - 8064a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 1200a b + 5520a b - 10080a b + 9600a b - 3840a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (180a b - 756a b + 1152a b - 576a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 10 +--R (198a b - 198a b )cosh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 810a b + 2430a b - 1620a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (1260a b - 5292a b + 8064a b - 4032a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 900a b + 4140a b - 7560a b + 7200a b - 2880a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (270a b - 1134a b + 1728a b - 864a b)cosh(x) - 18a b +--R + +--R 3 3 4 2 +--R 54a b - 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 11 +--R (36a b - 36a b )cosh(x) +--R + +--R 2 4 3 3 4 2 9 +--R (- 180a b + 540a b - 360a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 7 +--R (360a b - 1512a b + 2304a b - 1152a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 360a b + 1656a b - 3024a b + 2880a b - 1152a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (180a b - 756a b + 1152a b - 576a b)cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (- 36a b + 108a b - 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 12 2 4 3 3 4 2 10 +--R (3a b - 3a b )cosh(x) + (- 18a b + 54a b - 36a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 8 +--R (45a b - 189a b + 288a b - 144a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 60a b + 276a b - 504a b + 480a b - 192a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (45a b - 189a b + 288a b - 144a b)cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 18a b + 54a b - 36a b )cosh(x) + 3a b - 3a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 3 12 3 3 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 3 3 2 3 3 4 2 10 +--R (66a b cosh(x) - 6a b + 12a b )sinh(x) +--R + +--R 3 3 3 3 3 4 2 9 +--R (220a b cosh(x) + (- 60a b + 120a b )cosh(x))sinh(x) +--R + +--R 3 3 4 3 3 4 2 2 3 3 4 2 +--R 495a b cosh(x) + (- 270a b + 540a b )cosh(x) + 15a b - 48a b +--R + +--R 5 +--R 48a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 5 3 3 4 2 3 +--R 792a b cosh(x) + (- 720a b + 1440a b )cosh(x) +--R + +--R 3 3 4 2 5 +--R (120a b - 384a b + 384a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 3 6 3 3 4 2 4 +--R 924a b cosh(x) + (- 1260a b + 2520a b )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 5 6 +--R (420a b - 1344a b + 1344a b)cosh(x) - 20a b + 72a b - 96a b + 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 7 3 3 4 2 5 +--R 792a b cosh(x) + (- 1512a b + 3024a b )cosh(x) +--R + +--R 3 3 4 2 5 3 +--R (840a b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (- 120a b + 432a b - 576a b + 384a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 3 8 3 3 4 2 6 +--R 495a b cosh(x) + (- 1260a b + 2520a b )cosh(x) +--R + +--R 3 3 4 2 5 4 +--R (1050a b - 3360a b + 3360a b)cosh(x) +--R + +--R 3 3 4 2 5 6 2 3 3 4 2 +--R (- 300a b + 1080a b - 1440a b + 960a )cosh(x) + 15a b - 48a b +--R + +--R 5 +--R 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 9 3 3 4 2 7 +--R 220a b cosh(x) + (- 720a b + 1440a b )cosh(x) +--R + +--R 3 3 4 2 5 5 +--R (840a b - 2688a b + 2688a b)cosh(x) +--R + +--R 3 3 4 2 5 6 3 +--R (- 400a b + 1440a b - 1920a b + 1280a )cosh(x) +--R + +--R 3 3 4 2 5 +--R (60a b - 192a b + 192a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 10 3 3 4 2 8 +--R 66a b cosh(x) + (- 270a b + 540a b )cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (420a b - 1344a b + 1344a b)cosh(x) +--R + +--R 3 3 4 2 5 6 4 +--R (- 300a b + 1080a b - 1440a b + 960a )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (90a b - 288a b + 288a b)cosh(x) - 6a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 11 3 3 4 2 9 +--R 12a b cosh(x) + (- 60a b + 120a b )cosh(x) +--R + +--R 3 3 4 2 5 7 +--R (120a b - 384a b + 384a b)cosh(x) +--R + +--R 3 3 4 2 5 6 5 +--R (- 120a b + 432a b - 576a b + 384a )cosh(x) +--R + +--R 3 3 4 2 5 3 3 3 4 2 +--R (60a b - 192a b + 192a b)cosh(x) + (- 12a b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 12 3 3 4 2 10 +--R a b cosh(x) + (- 6a b + 12a b )cosh(x) +--R + +--R 3 3 4 2 5 8 +--R (15a b - 48a b + 48a b)cosh(x) +--R + +--R 3 3 4 2 5 6 6 +--R (- 20a b + 72a b - 96a b + 64a )cosh(x) +--R + +--R 3 3 4 2 5 4 3 3 4 2 2 3 3 +--R (15a b - 48a b + 48a b)cosh(x) + (- 6a b + 12a b )cosh(x) + a b +--R Type: Expression Integer +--E 320 + +--S 321 of 510 +t0062:= 1/(1-sinh(x)^2) +--R +--R +--R 1 +--R (273) - ------------ +--R 2 +--R sinh(x) - 1 +--R Type: Expression Integer +--E 321 + +--S 322 of 510 +r0062:= 1/2*atanh(2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +-+ +--R \|2 atanh(\|2 tanh(x)) +--R (274) ---------------------- +--R 2 +--R Type: Expression Integer +--E 322 + +--S 323 of 510 +a0062:= integrate(t0062,x) +--R +--R +--R (275) +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R / +--R +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 323 + +--S 324 of 510 +m0062:= a0062-r0062 +--R +--R +--R (276) +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ +--R - 2atanh(\|2 tanh(x)) +--R / +--R +-+ +--R 2\|2 +--R Type: Expression Integer +--E 324 + +--S 325 of 510 +d0062:= D(m0062,x) +--R +--R +--R (277) +--R +-+ 4 +-+ 3 +--R (3\|2 - 4)sinh(x) + (16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 42\|2 + 56)cosh(x) - 6\|2 + 8)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((16\|2 - 24)cosh(x) + (16\|2 - 24)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (3\|2 - 4)cosh(x) + (- 6\|2 + 8)cosh(x) - 9\|2 + 12 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (3\|2 - 4)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((30\|2 - 40)cosh(x) - 12\|2 + 16)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 16\|2 + 24)cosh(x) + (16\|2 - 24)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (3\|2 - 4)cosh(x) + (- 12\|2 + 16)cosh(x) + 9\|2 - 12 +--R / +--R +-+ 4 +-+ 3 +--R (18\|2 - 24)sinh(x) + (- 32\|2 + 48)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((36\|2 - 48)cosh(x) - 60\|2 + 80)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 32\|2 + 48)cosh(x) + (96\|2 - 144)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (18\|2 - 24)cosh(x) + (- 60\|2 + 80)cosh(x) + 18\|2 - 24 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (- 9\|2 + 12)sinh(x) + (16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 18\|2 + 24)cosh(x) + 30\|2 - 40)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((16\|2 - 24)cosh(x) + (- 48\|2 + 72)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 9\|2 + 12)cosh(x) + (30\|2 - 40)cosh(x) - 9\|2 + 12 +--R Type: Expression Integer +--E 325 + +--S 326 of 510 +t0063:= 1/(1-sinh(x)^2)^2 +--R +--R +--R 1 +--R (278) ------------------------ +--R 4 2 +--R sinh(x) - 2sinh(x) + 1 +--R Type: Expression Integer +--E 326 + +--S 327 of 510 +r0063:= 3/8*atanh(2^(1/2)*tanh(x))*2^(1/2)+tanh(x)/(4-8*tanh(x)^2) +--R +--R +--R +-+ 2 +-+ +-+ +--R (6\|2 tanh(x) - 3\|2 )atanh(\|2 tanh(x)) - 2tanh(x) +--R (279) ---------------------------------------------------- +--R 2 +--R 16tanh(x) - 8 +--R Type: Expression Integer +--E 327 + +--S 328 of 510 +a0063:= integrate(t0063,x) +--R +--R +--R (280) +--R 4 3 2 2 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) - 18)sinh(x) +--R + +--R 3 4 2 +--R (12cosh(x) - 36cosh(x))sinh(x) + 3cosh(x) - 18cosh(x) + 3 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R - 12\|2 sinh(x) - 24\|2 cosh(x)sinh(x) - 12\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 +-+ 2 +--R 8\|2 sinh(x) + 32\|2 cosh(x)sinh(x) + (48\|2 cosh(x) - 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (32\|2 cosh(x) - 96\|2 cosh(x))sinh(x) + 8\|2 cosh(x) - 48\|2 cosh(x) +--R + +--R +-+ +--R 8\|2 +--R Type: Union(Expression Integer,...) +--E 328 + +--S 329 of 510 +m0063:= a0063-r0063 +--R +--R +--R (281) +--R 4 3 2 2 +--R 6sinh(x) + 24cosh(x)sinh(x) + (36cosh(x) - 36)sinh(x) +--R + +--R 3 4 2 +--R (24cosh(x) - 72cosh(x))sinh(x) + 6cosh(x) - 36cosh(x) + 6 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 3sinh(x) - 12cosh(x)sinh(x) + (- 18cosh(x) + 18)sinh(x) +--R + +--R 3 4 2 +--R (- 12cosh(x) + 36cosh(x))sinh(x) - 3cosh(x) + 18cosh(x) - 3 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 4 3 2 2 +--R - 12sinh(x) - 48cosh(x)sinh(x) + (- 72cosh(x) + 72)sinh(x) +--R + +--R 3 4 2 +--R (- 48cosh(x) + 144cosh(x))sinh(x) - 12cosh(x) + 72cosh(x) - 12 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R 6sinh(x) + 24cosh(x)sinh(x) + (36cosh(x) - 36)sinh(x) +--R + +--R 3 4 2 +--R (24cosh(x) - 72cosh(x))sinh(x) + 6cosh(x) - 36cosh(x) + 6 +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R (- 24\|2 sinh(x) - 48\|2 cosh(x)sinh(x) - 24\|2 cosh(x) + 8\|2 ) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 12\|2 cosh(x) + 2\|2 +--R * +--R tanh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 12\|2 sinh(x) + 24\|2 cosh(x)sinh(x) + 12\|2 cosh(x) - 4\|2 +--R / +--R +-+ 4 +-+ 3 +--R 16\|2 sinh(x) + 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (96\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (64\|2 cosh(x) - 192\|2 cosh(x))sinh(x) + 16\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 96\|2 cosh(x) + 16\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 8\|2 sinh(x) - 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 48\|2 cosh(x) + 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 32\|2 cosh(x) + 96\|2 cosh(x))sinh(x) - 8\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 48\|2 cosh(x) - 8\|2 +--R Type: Expression Integer +--E 329 + +--S 330 of 510 +d0063:= D(m0063,x) +--R +--R +--R (282) +--R +-+ 12 +-+ 11 +--R (18\|2 - 24)sinh(x) + (176\|2 - 240)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((652\|2 - 912)cosh(x) - 48\|2 + 64)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((1072\|2 - 1584)cosh(x) + (- 1056\|2 + 1520)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (302\|2 - 744)cosh(x) + (- 3504\|2 + 5312)cosh(x) + 378\|2 +--R + +--R - 504 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1760\|2 + 1824)cosh(x) + (- 2304\|2 + 4672)cosh(x) +--R + +--R +-+ +--R (2624\|2 - 3744)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 2968\|2 + 3360)cosh(x) + (6624\|2 - 6400)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1928\|2 - 3552)cosh(x) - 912\|2 + 1216 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 1760\|2 + 1824)cosh(x) + (12864\|2 - 14432)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 9856\|2 + 11424)cosh(x) + (- 672\|2 + 544)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (302\|2 - 744)cosh(x) + (6624\|2 - 6400)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 19076\|2 + 23472)cosh(x) + (8784\|2 - 13376)cosh(x) +--R + +--R +-+ +--R - 954\|2 + 1272 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (1072\|2 - 1584)cosh(x) + (- 2304\|2 + 4672)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 9856\|2 + 11424)cosh(x) + (17088\|2 - 25408)cosh(x) +--R + +--R +-+ +--R (- 3568\|2 + 4752)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (652\|2 - 912)cosh(x) + (- 3504\|2 + 5312)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1928\|2 - 3552)cosh(x) + (8784\|2 - 13376)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 5364\|2 + 7152)cosh(x) + 384\|2 - 512 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (176\|2 - 240)cosh(x) + (- 1056\|2 + 1520)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2624\|2 - 3744)cosh(x) + (- 672\|2 + 544)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3568\|2 + 4752)cosh(x) + (960\|2 - 1296)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (18\|2 - 24)cosh(x) + (- 48\|2 + 64)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (378\|2 - 504)cosh(x) + (- 912\|2 + 1216)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 954\|2 + 1272)cosh(x) + (384\|2 - 512)cosh(x) - 18\|2 + 24 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 11 +--R (- 64\|2 + 96)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 368\|2 + 576)cosh(x) - 228\|2 + 304)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 704\|2 + 1248)cosh(x) + (- 240\|2 + 128)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 64\|2 + 768)cosh(x) + (1164\|2 - 2704)cosh(x) + 1044\|2 +--R + +--R - 1392 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1792\|2 - 1344)cosh(x) + (384\|2 - 3584)cosh(x) +--R + +--R +-+ +--R (2208\|2 - 2304)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (2912\|2 - 2688)cosh(x) + (- 7080\|2 + 4448)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3792\|2 - 2112)cosh(x) - 1800\|2 + 2400 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (1792\|2 - 1344)cosh(x) + (- 12576\|2 + 11008)cosh(x) +--R + +--R +-+ 3 +-+ +--R (12000\|2 - 9984)cosh(x) + (- 6144\|2 + 7872)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 64\|2 + 768)cosh(x) + (- 7080\|2 + 4448)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (18744\|2 - 17568)cosh(x) + (- 13272\|2 + 16800)cosh(x) +--R + +--R +-+ +--R 2376\|2 - 3168 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 704\|2 + 1248)cosh(x) + (384\|2 - 3584)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (12000\|2 - 9984)cosh(x) + (- 17856\|2 + 22656)cosh(x) +--R + +--R +-+ +--R (6560\|2 - 8544)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 368\|2 + 576)cosh(x) + (1164\|2 - 2704)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (3792\|2 - 2112)cosh(x) + (- 13272\|2 + 16800)cosh(x) +--R + +--R +-+ 2 +-+ +--R (8640\|2 - 11136)cosh(x) - 660\|2 + 880 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 64\|2 + 96)cosh(x) + (- 240\|2 + 128)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2208\|2 - 2304)cosh(x) + (- 6144\|2 + 7872)cosh(x) +--R + +--R +-+ 3 +-+ +--R (6560\|2 - 8544)cosh(x) + (- 1296\|2 + 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 228\|2 + 304)cosh(x) + (1044\|2 - 1392)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 1800\|2 + 2400)cosh(x) + (2376\|2 - 3168)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 660\|2 + 880)cosh(x) + 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 9\|2 + 12)sinh(x) + (- 40\|2 + 48)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 50\|2 + 24)cosh(x) + 195\|2 - 260)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 8\|2 - 144)cosh(x) + (708\|2 - 856)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 103\|2 - 204)cosh(x) + (879\|2 - 628)cosh(x) - 972\|2 + 1296) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 464\|2 + 96)cosh(x) + (864\|2 + 352)cosh(x) +--R + +--R +-+ +--R (- 2968\|2 + 3600)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 700\|2 + 336)cosh(x) + (1998\|2 - 136)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3808\|2 + 3360)cosh(x) + 1806\|2 - 2408 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 464\|2 + 96)cosh(x) + (3000\|2 - 1040)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4072\|2 + 1776)cosh(x) + (4944\|2 - 6176)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 103\|2 - 204)cosh(x) + (1998\|2 - 136)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 4520\|2 + 1440)cosh(x) + (5562\|2 - 5912)cosh(x) - 1305\|2 +--R + +--R 1740 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 8\|2 - 144)cosh(x) + (864\|2 + 352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4072\|2 + 1776)cosh(x) + (4848\|2 - 4288)cosh(x) +--R + +--R +-+ +--R (- 3136\|2 + 4032)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 50\|2 + 24)cosh(x) + (879\|2 - 628)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 3808\|2 + 3360)cosh(x) + (5562\|2 - 5912)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3798\|2 + 4776)cosh(x) + 303\|2 - 404 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 40\|2 + 48)cosh(x) + (708\|2 - 856)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 2968\|2 + 3600)cosh(x) + (4944\|2 - 6176)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3136\|2 + 4032)cosh(x) + (492\|2 - 648)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 9\|2 + 12)cosh(x) + (195\|2 - 260)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 972\|2 + 1296)cosh(x) + (1806\|2 - 2408)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 1305\|2 + 1740)cosh(x) + (303\|2 - 404)cosh(x) - 18\|2 + 24 +--R / +--R +-+ 12 +-+ 11 +--R (72\|2 - 96)sinh(x) + (448\|2 - 576)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((1136\|2 - 1344)cosh(x) - 1104\|2 + 1472)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((1472\|2 - 1344)cosh(x) + (- 5184\|2 + 6592)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (952\|2 + 96)cosh(x) + (- 9360\|2 + 10432)cosh(x) + 5688\|2 +--R + +--R - 7584 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (128\|2 + 1920)cosh(x) + (- 7680\|2 + 4352)cosh(x) +--R + +--R +-+ +--R (19328\|2 - 24192)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 224\|2 + 2688)cosh(x) + (- 1824\|2 - 7808)cosh(x) +--R + +--R +-+ 2 +-+ +--R (22880\|2 - 22656)cosh(x) - 10848\|2 + 14464 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (128\|2 + 1920)cosh(x) + (1152\|2 - 13696)cosh(x) +--R + +--R +-+ 3 +-+ +--R (8576\|2 + 5760)cosh(x) + (- 27264\|2 + 33664)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (952\|2 + 96)cosh(x) + (- 1824\|2 - 7808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 1328\|2 + 23616)cosh(x) + (- 17952\|2 + 13696)cosh(x) +--R + +--R +-+ +--R 5688\|2 - 7584 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (1472\|2 - 1344)cosh(x) + (- 7680\|2 + 4352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (8576\|2 + 5760)cosh(x) + (- 3072\|2 - 11008)cosh(x) +--R + +--R +-+ +--R (11968\|2 - 15168)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (1136\|2 - 1344)cosh(x) + (- 9360\|2 + 10432)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (22880\|2 - 22656)cosh(x) + (- 17952\|2 + 13696)cosh(x) +--R + +--R +-+ 2 +-+ +--R (13104\|2 - 15936)cosh(x) - 1104\|2 + 1472 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (448\|2 - 576)cosh(x) + (- 5184\|2 + 6592)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (19328\|2 - 24192)cosh(x) + (- 27264\|2 + 33664)cosh(x) +--R + +--R +-+ 3 +-+ +--R (11968\|2 - 15168)cosh(x) + (- 1344\|2 + 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (72\|2 - 96)cosh(x) + (- 1104\|2 + 1472)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (5688\|2 - 7584)cosh(x) + (- 10848\|2 + 14464)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (5688\|2 - 7584)cosh(x) + (- 1104\|2 + 1472)cosh(x) + 72\|2 - 96 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 72\|2 + 96)sinh(x) + (- 448\|2 + 576)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 1136\|2 + 1344)cosh(x) + 1104\|2 - 1472)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 1472\|2 + 1344)cosh(x) + (5184\|2 - 6592)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 952\|2 - 96)cosh(x) + (9360\|2 - 10432)cosh(x) - 5688\|2 +--R + +--R 7584 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 128\|2 - 1920)cosh(x) + (7680\|2 - 4352)cosh(x) +--R + +--R +-+ +--R (- 19328\|2 + 24192)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (224\|2 - 2688)cosh(x) + (1824\|2 + 7808)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 22880\|2 + 22656)cosh(x) + 10848\|2 - 14464 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 128\|2 - 1920)cosh(x) + (- 1152\|2 + 13696)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 8576\|2 - 5760)cosh(x) + (27264\|2 - 33664)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 952\|2 - 96)cosh(x) + (1824\|2 + 7808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (1328\|2 - 23616)cosh(x) + (17952\|2 - 13696)cosh(x) +--R + +--R +-+ +--R - 5688\|2 + 7584 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 1472\|2 + 1344)cosh(x) + (7680\|2 - 4352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 8576\|2 - 5760)cosh(x) + (3072\|2 + 11008)cosh(x) +--R + +--R +-+ +--R (- 11968\|2 + 15168)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 1136\|2 + 1344)cosh(x) + (9360\|2 - 10432)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 22880\|2 + 22656)cosh(x) + (17952\|2 - 13696)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 13104\|2 + 15936)cosh(x) + 1104\|2 - 1472 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 448\|2 + 576)cosh(x) + (5184\|2 - 6592)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 19328\|2 + 24192)cosh(x) + (27264\|2 - 33664)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 11968\|2 + 15168)cosh(x) + (1344\|2 - 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 72\|2 + 96)cosh(x) + (1104\|2 - 1472)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 5688\|2 + 7584)cosh(x) + (10848\|2 - 14464)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 5688\|2 + 7584)cosh(x) + (1104\|2 - 1472)cosh(x) - 72\|2 + 96 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (18\|2 - 24)sinh(x) + (112\|2 - 144)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((284\|2 - 336)cosh(x) - 276\|2 + 368)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((368\|2 - 336)cosh(x) + (- 1296\|2 + 1648)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (238\|2 + 24)cosh(x) + (- 2340\|2 + 2608)cosh(x) + 1422\|2 +--R + +--R - 1896 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (32\|2 + 480)cosh(x) + (- 1920\|2 + 1088)cosh(x) +--R + +--R +-+ +--R (4832\|2 - 6048)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 56\|2 + 672)cosh(x) + (- 456\|2 - 1952)cosh(x) +--R + +--R +-+ 2 +-+ +--R (5720\|2 - 5664)cosh(x) - 2712\|2 + 3616 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (32\|2 + 480)cosh(x) + (288\|2 - 3424)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2144\|2 + 1440)cosh(x) + (- 6816\|2 + 8416)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (238\|2 + 24)cosh(x) + (- 456\|2 - 1952)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 332\|2 + 5904)cosh(x) + (- 4488\|2 + 3424)cosh(x) + 1422\|2 +--R + +--R - 1896 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (368\|2 - 336)cosh(x) + (- 1920\|2 + 1088)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (2144\|2 + 1440)cosh(x) + (- 768\|2 - 2752)cosh(x) +--R + +--R +-+ +--R (2992\|2 - 3792)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (284\|2 - 336)cosh(x) + (- 2340\|2 + 2608)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (5720\|2 - 5664)cosh(x) + (- 4488\|2 + 3424)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3276\|2 - 3984)cosh(x) - 276\|2 + 368 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (112\|2 - 144)cosh(x) + (- 1296\|2 + 1648)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (4832\|2 - 6048)cosh(x) + (- 6816\|2 + 8416)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2992\|2 - 3792)cosh(x) + (- 336\|2 + 432)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (18\|2 - 24)cosh(x) + (- 276\|2 + 368)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (1422\|2 - 1896)cosh(x) + (- 2712\|2 + 3616)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (1422\|2 - 1896)cosh(x) + (- 276\|2 + 368)cosh(x) + 18\|2 - 24 +--R Type: Expression Integer +--E 330 + +--S 331 of 510 +t0064:= 1/(1-sinh(x)^2)^3 +--R +--R +--R 1 +--R (283) - ------------------------------------ +--R 6 4 2 +--R sinh(x) - 3sinh(x) + 3sinh(x) - 1 +--R Type: Expression Integer +--E 331 + +--S 332 of 510 +r0064:= 19/64*atanh(2^(1/2)*tanh(x))*2^(1/2)+1/16*tanh(x)/(-1+2*tanh(x)^2)^2-11*tanh(x)/(-32+64*tanh(x)^2) +--R +--R +--R (284) +--R +-+ 4 +-+ 2 +-+ +-+ 3 +--R (76\|2 tanh(x) - 76\|2 tanh(x) + 19\|2 )atanh(\|2 tanh(x)) - 44tanh(x) +--R + +--R 26tanh(x) +--R / +--R 4 2 +--R 256tanh(x) - 256tanh(x) + 64 +--R Type: Expression Integer +--E 332 + +--S 333 of 510 +a0064:= integrate(t0064,x) +--R +--R +--R (285) +--R 8 7 2 6 +--R 19sinh(x) + 152cosh(x)sinh(x) + (532cosh(x) - 228)sinh(x) +--R + +--R 3 5 +--R (1064cosh(x) - 1368cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1330cosh(x) - 3420cosh(x) + 722)sinh(x) +--R + +--R 5 3 3 +--R (1064cosh(x) - 4560cosh(x) + 2888cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (532cosh(x) - 3420cosh(x) + 4332cosh(x) - 228)sinh(x) +--R + +--R 7 5 3 +--R (152cosh(x) - 1368cosh(x) + 2888cosh(x) - 456cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 19cosh(x) - 228cosh(x) + 722cosh(x) - 228cosh(x) + 19 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 6 +-+ 5 +--R - 76\|2 sinh(x) - 456\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 1140\|2 cosh(x) + 684\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 1520\|2 cosh(x) + 2736\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 1140\|2 cosh(x) + 4104\|2 cosh(x) - 356\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 456\|2 cosh(x) + 2736\|2 cosh(x) - 712\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 76\|2 cosh(x) + 684\|2 cosh(x) - 356\|2 cosh(x) + 36\|2 +--R / +--R +-+ 8 +-+ 7 +--R 64\|2 sinh(x) + 512\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1792\|2 cosh(x) - 768\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (3584\|2 cosh(x) - 4608\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4480\|2 cosh(x) - 11520\|2 cosh(x) + 2432\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (3584\|2 cosh(x) - 15360\|2 cosh(x) + 9728\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (1792\|2 cosh(x) - 11520\|2 cosh(x) + 14592\|2 cosh(x) - 768\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 512\|2 cosh(x) - 4608\|2 cosh(x) + 9728\|2 cosh(x) +--R + +--R +-+ +--R - 1536\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 64\|2 cosh(x) - 768\|2 cosh(x) + 2432\|2 cosh(x) - 768\|2 cosh(x) +--R + +--R +-+ +--R 64\|2 +--R Type: Union(Expression Integer,...) +--E 333 + +--S 334 of 510 +m0064:= a0064-r0064 +--R +--R +--R (286) +--R 8 7 2 6 +--R 76sinh(x) + 608cosh(x)sinh(x) + (2128cosh(x) - 912)sinh(x) +--R + +--R 3 5 +--R (4256cosh(x) - 5472cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (5320cosh(x) - 13680cosh(x) + 2888)sinh(x) +--R + +--R 5 3 3 +--R (4256cosh(x) - 18240cosh(x) + 11552cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (2128cosh(x) - 13680cosh(x) + 17328cosh(x) - 912)sinh(x) +--R + +--R 7 5 3 +--R (608cosh(x) - 5472cosh(x) + 11552cosh(x) - 1824cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 76cosh(x) - 912cosh(x) + 2888cosh(x) - 912cosh(x) + 76 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 +--R - 76sinh(x) - 608cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 2128cosh(x) + 912)sinh(x) +--R + +--R 3 5 +--R (- 4256cosh(x) + 5472cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5320cosh(x) + 13680cosh(x) - 2888)sinh(x) +--R + +--R 5 3 3 +--R (- 4256cosh(x) + 18240cosh(x) - 11552cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 2128cosh(x) + 13680cosh(x) - 17328cosh(x) + 912)sinh(x) +--R + +--R 7 5 3 +--R (- 608cosh(x) + 5472cosh(x) - 11552cosh(x) + 1824cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 76cosh(x) + 912cosh(x) - 2888cosh(x) + 912cosh(x) - 76 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 19sinh(x) + 152cosh(x)sinh(x) + (532cosh(x) - 228)sinh(x) +--R + +--R 3 5 +--R (1064cosh(x) - 1368cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1330cosh(x) - 3420cosh(x) + 722)sinh(x) +--R + +--R 5 3 3 +--R (1064cosh(x) - 4560cosh(x) + 2888cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (532cosh(x) - 3420cosh(x) + 4332cosh(x) - 228)sinh(x) +--R + +--R 7 5 3 +--R (152cosh(x) - 1368cosh(x) + 2888cosh(x) - 456cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 19cosh(x) - 228cosh(x) + 722cosh(x) - 228cosh(x) + 19 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 8 7 +--R - 152sinh(x) - 1216cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 4256cosh(x) + 1824)sinh(x) +--R + +--R 3 5 +--R (- 8512cosh(x) + 10944cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 10640cosh(x) + 27360cosh(x) - 5776)sinh(x) +--R + +--R 5 3 3 +--R (- 8512cosh(x) + 36480cosh(x) - 23104cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 4256cosh(x) + 27360cosh(x) - 34656cosh(x) + 1824)sinh(x) +--R + +--R 7 5 3 +--R (- 1216cosh(x) + 10944cosh(x) - 23104cosh(x) + 3648cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 152cosh(x) + 1824cosh(x) - 5776cosh(x) + 1824cosh(x) - 152 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 152sinh(x) + 1216cosh(x)sinh(x) + (4256cosh(x) - 1824)sinh(x) +--R + +--R 3 5 +--R (8512cosh(x) - 10944cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (10640cosh(x) - 27360cosh(x) + 5776)sinh(x) +--R + +--R 5 3 3 +--R (8512cosh(x) - 36480cosh(x) + 23104cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (4256cosh(x) - 27360cosh(x) + 34656cosh(x) - 1824)sinh(x) +--R + +--R 7 5 3 +--R (1216cosh(x) - 10944cosh(x) + 23104cosh(x) - 3648cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R 152cosh(x) - 1824cosh(x) + 5776cosh(x) - 1824cosh(x) + 152 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - 38sinh(x) - 304cosh(x)sinh(x) + (- 1064cosh(x) + 456)sinh(x) +--R + +--R 3 5 +--R (- 2128cosh(x) + 2736cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 2660cosh(x) + 6840cosh(x) - 1444)sinh(x) +--R + +--R 5 3 3 +--R (- 2128cosh(x) + 9120cosh(x) - 5776cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 1064cosh(x) + 6840cosh(x) - 8664cosh(x) + 456)sinh(x) +--R + +--R 7 5 3 +--R (- 304cosh(x) + 2736cosh(x) - 5776cosh(x) + 912cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 38cosh(x) + 456cosh(x) - 1444cosh(x) + 456cosh(x) - 38 +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R +-+ 6 +-+ 5 +--R - 304\|2 sinh(x) - 1824\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 4560\|2 cosh(x) + 2736\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 6080\|2 cosh(x) + 10944\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 4560\|2 cosh(x) + 16416\|2 cosh(x) - 1424\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 1824\|2 cosh(x) + 10944\|2 cosh(x) - 2848\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 304\|2 cosh(x) + 2736\|2 cosh(x) - 1424\|2 cosh(x) + 144\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 44\|2 sinh(x) + 352\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1232\|2 cosh(x) - 528\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (2464\|2 cosh(x) - 3168\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (3080\|2 cosh(x) - 7920\|2 cosh(x) + 1672\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (2464\|2 cosh(x) - 10560\|2 cosh(x) + 6688\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (1232\|2 cosh(x) - 7920\|2 cosh(x) + 10032\|2 cosh(x) - 528\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 352\|2 cosh(x) - 3168\|2 cosh(x) + 6688\|2 cosh(x) +--R + +--R +-+ +--R - 1056\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 44\|2 cosh(x) - 528\|2 cosh(x) + 1672\|2 cosh(x) - 528\|2 cosh(x) +--R + +--R +-+ +--R 44\|2 +--R * +--R 3 +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R 304\|2 sinh(x) + 1824\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (4560\|2 cosh(x) - 2736\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (6080\|2 cosh(x) - 10944\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (4560\|2 cosh(x) - 16416\|2 cosh(x) + 1424\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (1824\|2 cosh(x) - 10944\|2 cosh(x) + 2848\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 304\|2 cosh(x) - 2736\|2 cosh(x) + 1424\|2 cosh(x) - 144\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 26\|2 sinh(x) - 208\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 728\|2 cosh(x) + 312\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 1456\|2 cosh(x) + 1872\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 1820\|2 cosh(x) + 4680\|2 cosh(x) - 988\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 1456\|2 cosh(x) + 6240\|2 cosh(x) - 3952\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 728\|2 cosh(x) + 4680\|2 cosh(x) - 5928\|2 cosh(x) + 312\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 208\|2 cosh(x) + 1872\|2 cosh(x) - 3952\|2 cosh(x) +--R + +--R +-+ +--R 624\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 26\|2 cosh(x) + 312\|2 cosh(x) - 988\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 312\|2 cosh(x) - 26\|2 +--R * +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R - 76\|2 sinh(x) - 456\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 1140\|2 cosh(x) + 684\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 1520\|2 cosh(x) + 2736\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 1140\|2 cosh(x) + 4104\|2 cosh(x) - 356\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 456\|2 cosh(x) + 2736\|2 cosh(x) - 712\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 76\|2 cosh(x) + 684\|2 cosh(x) - 356\|2 cosh(x) + 36\|2 +--R / +--R +-+ 8 +-+ 7 +--R 256\|2 sinh(x) + 2048\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (7168\|2 cosh(x) - 3072\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (14336\|2 cosh(x) - 18432\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (17920\|2 cosh(x) - 46080\|2 cosh(x) + 9728\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (14336\|2 cosh(x) - 61440\|2 cosh(x) + 38912\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 7168\|2 cosh(x) - 46080\|2 cosh(x) + 58368\|2 cosh(x) +--R + +--R +-+ +--R - 3072\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 2048\|2 cosh(x) - 18432\|2 cosh(x) + 38912\|2 cosh(x) +--R + +--R +-+ +--R - 6144\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 256\|2 cosh(x) - 3072\|2 cosh(x) + 9728\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 3072\|2 cosh(x) + 256\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 256\|2 sinh(x) - 2048\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 7168\|2 cosh(x) + 3072\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 14336\|2 cosh(x) + 18432\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 17920\|2 cosh(x) + 46080\|2 cosh(x) - 9728\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 14336\|2 cosh(x) + 61440\|2 cosh(x) - 38912\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 7168\|2 cosh(x) + 46080\|2 cosh(x) - 58368\|2 cosh(x) +--R + +--R +-+ +--R 3072\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 2048\|2 cosh(x) + 18432\|2 cosh(x) - 38912\|2 cosh(x) +--R + +--R +-+ +--R 6144\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 256\|2 cosh(x) + 3072\|2 cosh(x) - 9728\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 3072\|2 cosh(x) - 256\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 64\|2 sinh(x) + 512\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1792\|2 cosh(x) - 768\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (3584\|2 cosh(x) - 4608\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4480\|2 cosh(x) - 11520\|2 cosh(x) + 2432\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (3584\|2 cosh(x) - 15360\|2 cosh(x) + 9728\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (1792\|2 cosh(x) - 11520\|2 cosh(x) + 14592\|2 cosh(x) - 768\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 512\|2 cosh(x) - 4608\|2 cosh(x) + 9728\|2 cosh(x) +--R + +--R +-+ +--R - 1536\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 64\|2 cosh(x) - 768\|2 cosh(x) + 2432\|2 cosh(x) - 768\|2 cosh(x) +--R + +--R +-+ +--R 64\|2 +--R Type: Expression Integer +--E 334 + +--S 335 of 510 +d0064:= D(m0064,x) +--R +--R +--R (287) +--R +-+ 16 +-+ 15 +--R (312\|2 - 416)sinh(x) + (4000\|2 - 5376)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((22464\|2 - 30464)cosh(x) - 3768\|2 + 5024)sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R ((71392\|2 - 98048)cosh(x) + (- 47264\|2 + 64320)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (134944\|2 - 189824)cosh(x) + (- 236776\|2 + 328160)cosh(x) +--R + +--R +-+ +--R 8520\|2 - 11360 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (130464\|2 - 197888)cosh(x) + (- 606784\|2 + 863360)cosh(x) +--R + +--R +-+ +--R (152736\|2 - 215552)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 26048\|2 - 8448)cosh(x) + (- 752888\|2 + 1148064)cosh(x) +--R + +--R +-+ 2 +-+ +--R (698448\|2 - 1021376)cosh(x) - 32184\|2 + 42912 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 271392\|2 + 301312)cosh(x) + (3744\|2 + 260288)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1196064\|2 - 1899008)cosh(x) + (- 258720\|2 + 363072)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 394416\|2 + 458304)cosh(x) + (1484952\|2 - 1612320)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 50376\|2 - 551328)cosh(x) + (- 440664\|2 + 693024)cosh(x) +--R + +--R +-+ +--R 75960\|2 - 101280 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 271392\|2 + 301312)cosh(x) + (2283648\|2 - 2638080)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 3302592\|2 + 3523584)cosh(x) + (921216\|2 - 957696)cosh(x) +--R + +--R +-+ +--R (183264\|2 - 215808)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 26048\|2 - 8448)cosh(x) + (1484952\|2 - 1612320)cosh(x) +--R + +--R +-+ 6 +--R (- 5220768\|2 + 5986176)cosh(x) +--R + +--R +-+ 4 +--R (4315920\|2 - 5331648)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 788448\|2 + 1251456)cosh(x) + 74520\|2 - 99360 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (130464\|2 - 197888)cosh(x) + (3744\|2 + 260288)cosh(x) +--R + +--R +-+ 7 +--R (- 3302592\|2 + 3523584)cosh(x) +--R + +--R +-+ 5 +--R (6361152\|2 - 8002176)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3587808\|2 + 5327616)cosh(x) + (437024\|2 - 582720)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +--R (134944\|2 - 189824)cosh(x) +--R + +--R +-+ 10 +--R (- 752888\|2 + 1148064)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 50376\|2 - 551328)cosh(x) + (4315920\|2 - 5331648)cosh(x) +--R + +--R +-+ 4 +--R (- 5384112\|2 + 7923264)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1117672\|2 - 1493472)cosh(x) - 41640\|2 + 55520 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R (71392\|2 - 98048)cosh(x) + (- 606784\|2 + 863360)cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R (1196064\|2 - 1899008)cosh(x) + (921216\|2 - 957696)cosh(x) +--R + +--R +-+ 5 +--R (- 3587808\|2 + 5327616)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1510336\|2 - 2020224)cosh(x) + (- 196640\|2 + 264704)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (22464\|2 - 30464)cosh(x) + (- 236776\|2 + 328160)cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R (698448\|2 - 1021376)cosh(x) + (- 440664\|2 + 693024)cosh(x) +--R + +--R +-+ 6 +--R (- 788448\|2 + 1251456)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (1117672\|2 - 1493472)cosh(x) + (- 311088\|2 + 419904)cosh(x) +--R + +--R +-+ +--R 4440\|2 - 5920 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (4000\|2 - 5376)cosh(x) + (- 47264\|2 + 64320)cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R (152736\|2 - 215552)cosh(x) + (- 258720\|2 + 363072)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (183264\|2 - 215808)cosh(x) + (437024\|2 - 582720)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 196640\|2 + 264704)cosh(x) + (12320\|2 - 16704)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (312\|2 - 416)cosh(x) + (- 3768\|2 + 5024)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (8520\|2 - 11360)cosh(x) + (- 32184\|2 + 42912)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (75960\|2 - 101280)cosh(x) + (74520\|2 - 99360)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 41640\|2 + 55520)cosh(x) + (4440\|2 - 5920)cosh(x) - 144\|2 +--R + +--R 192 +--R * +--R 6 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (- 252\|2 + 336)sinh(x) + (- 3792\|2 + 5184)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((- 23616\|2 + 33024)cosh(x) + 1044\|2 - 1392)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 80112\|2 + 115392)cosh(x) + (31440\|2 - 45216)cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 155856\|2 + 237504)cosh(x) + (207132\|2 - 308688)cosh(x) +--R + +--R +-+ +--R 24372\|2 - 32496 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 142416\|2 + 261696)cosh(x) + (592800\|2 - 937536)cosh(x) +--R + +--R +-+ +--R (31536\|2 - 13632)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (78144\|2 + 25344)cosh(x) + (707124\|2 - 1351152)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 266328\|2 + 581664)cosh(x) - 89964\|2 + 119952 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (422928\|2 - 382272)cosh(x) + (- 353232\|2 - 315744)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 504720\|2 + 1490880)cosh(x) + (- 392112\|2 + 458208)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (596376\|2 - 592416)cosh(x) + (- 2389860\|2 + 2054448)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (1315980\|2 + 42480)cosh(x) + (- 1153404\|2 + 1112400)cosh(x) +--R + +--R +-+ +--R 115452\|2 - 153936 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (422928\|2 - 382272)cosh(x) + (- 3491136\|2 + 3383424)cosh(x) +--R + +--R +-+ 5 +--R (5634144\|2 - 4770432)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3576384\|2 + 3507840)cosh(x) + (768528\|2 - 1012032)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (78144\|2 + 25344)cosh(x) + (- 2389860\|2 + 2054448)cosh(x) +--R + +--R +-+ 6 +--R (8173872\|2 - 7769664)cosh(x) +--R + +--R +-+ 4 +--R (- 7949592\|2 + 8352288)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3036528\|2 - 4030272)cosh(x) - 250020\|2 + 333360 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +--R (- 142416\|2 + 261696)cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 353232\|2 - 315744)cosh(x) + (5634144\|2 - 4770432)cosh(x) +--R + +--R +-+ 5 +--R (- 10448928\|2 + 11237184)cosh(x) +--R + +--R +-+ 3 +-+ +--R (7076592\|2 - 9475776)cosh(x) + (- 1174800\|2 + 1543968)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +--R (- 155856\|2 + 237504)cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R (707124\|2 - 1351152)cosh(x) + (1315980\|2 + 42480)cosh(x) +--R + +--R +-+ 6 +--R (- 7949592\|2 + 8352288)cosh(x) +--R + +--R +-+ 4 +--R (9386280\|2 - 12607200)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2538780\|2 + 3302352)cosh(x) + 99612\|2 - 132816 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R (- 80112\|2 + 115392)cosh(x) + (592800\|2 - 937536)cosh(x) +--R + +--R +-+ 9 +--R (- 504720\|2 + 1490880)cosh(x) +--R + +--R +-+ 7 +--R (- 3576384\|2 + 3507840)cosh(x) +--R + +--R +-+ 5 +--R (7076592\|2 - 9475776)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3228000\|2 + 4183488)cosh(x) + (395664\|2 - 527808)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (- 23616\|2 + 33024)cosh(x) + (207132\|2 - 308688)cosh(x) +--R + +--R +-+ 10 +--R (- 266328\|2 + 581664)cosh(x) +--R + +--R +-+ 8 +--R (- 1153404\|2 + 1112400)cosh(x) +--R + +--R +-+ 6 +--R (3036528\|2 - 4030272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 2538780\|2 + 3302352)cosh(x) + (595368\|2 - 794592)cosh(x) +--R + +--R +-+ +--R - 11268\|2 + 15024 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (- 3792\|2 + 5184)cosh(x) + (31440\|2 - 45216)cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R (31536\|2 - 13632)cosh(x) + (- 392112\|2 + 458208)cosh(x) +--R + +--R +-+ 7 +--R (768528\|2 - 1012032)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1174800\|2 + 1543968)cosh(x) + (395664\|2 - 527808)cosh(x) +--R + +--R +-+ +--R (- 25104\|2 + 33696)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (- 252\|2 + 336)cosh(x) + (1044\|2 - 1392)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (24372\|2 - 32496)cosh(x) + (- 89964\|2 + 119952)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (115452\|2 - 153936)cosh(x) + (- 250020\|2 + 333360)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (99612\|2 - 132816)cosh(x) + (- 11268\|2 + 15024)cosh(x) +--R + +--R +-+ +--R 432\|2 - 576 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (- 90\|2 + 120)sinh(x) + (- 312\|2 + 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((1728\|2 - 3840)cosh(x) + 4086\|2 - 5448)sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R ((13080\|2 - 26016)cosh(x) + (23736\|2 - 28656)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (31368\|2 - 71520)cosh(x) + (44466\|2 - 29208)cosh(x) +--R + +--R +-+ +--R - 49338\|2 + 65784 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (17928\|2 - 95712)cosh(x) + (20976\|2 + 111264)cosh(x) +--R + +--R +-+ +--R (- 276408\|2 + 343776)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 78144\|2 - 25344)cosh(x) + (68646\|2 + 304632)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 648180\|2 + 659568)cosh(x) + 183222\|2 - 244296 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 227304\|2 + 121440)cosh(x) + (524232\|2 + 83184)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 1037016\|2 + 612192)cosh(x) + (976248\|2 - 1231920)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 302940\|2 + 201168)cosh(x) + (1357362\|2 - 663192)cosh(x) +--R + +--R +-+ 4 +--R (- 1898406\|2 + 763272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (2391102\|2 - 2708136)cosh(x) - 287118\|2 + 382824 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 227304\|2 + 121440)cosh(x) + (1811232\|2 - 1118016)cosh(x) +--R + +--R +-+ 5 +--R (- 3497328\|2 + 1870272)cosh(x) +--R + +--R +-+ 3 +-+ +--R (3982752\|2 - 3825216)cosh(x) + (- 1427688\|2 + 1841760)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 78144\|2 - 25344)cosh(x) + (1357362\|2 - 663192)cosh(x) +--R + +--R +-+ 6 +--R (- 4429656\|2 + 2675232)cosh(x) +--R + +--R +-+ 4 +--R (5450508\|2 - 4530960)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3372120\|2 + 4168224)cosh(x) + 263250\|2 - 351000 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (17928\|2 - 95712)cosh(x) + (524232\|2 + 83184)cosh(x) +--R + +--R +-+ 7 +--R (- 3497328\|2 + 1870272)cosh(x) +--R + +--R +-+ 5 +--R (6131664\|2 - 4852512)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5233176\|2 + 6222240)cosh(x) + (1106664\|2 - 1441872)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (31368\|2 - 71520)cosh(x) + (68646\|2 + 304632)cosh(x) +--R + +--R +-+ 8 +--R (- 1898406\|2 + 763272)cosh(x) +--R + +--R +-+ 6 +--R (5450508\|2 - 4530960)cosh(x) +--R + +--R +-+ 4 +--R (- 6003252\|2 + 7025904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (2131662\|2 - 2713320)cosh(x) - 86958\|2 + 115944 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R (13080\|2 - 26016)cosh(x) + (20976\|2 + 111264)cosh(x) +--R + +--R +-+ 9 +--R (- 1037016\|2 + 612192)cosh(x) +--R + +--R +-+ 7 +--R (3982752\|2 - 3825216)cosh(x) +--R + +--R +-+ 5 +--R (- 5233176\|2 + 6222240)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2576496\|2 - 3244896)cosh(x) + (- 298536\|2 + 394656)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (1728\|2 - 3840)cosh(x) + (44466\|2 - 29208)cosh(x) +--R + +--R +-+ 10 +--R (- 648180\|2 + 659568)cosh(x) +--R + +--R +-+ 8 +--R (2391102\|2 - 2708136)cosh(x) +--R + +--R +-+ 6 +--R (- 3372120\|2 + 4168224)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (2131662\|2 - 2713320)cosh(x) + (- 426420\|2 + 562032)cosh(x) +--R + +--R +-+ +--R 10242\|2 - 13656 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (- 312\|2 + 288)cosh(x) + (23736\|2 - 28656)cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 276408\|2 + 343776)cosh(x) + (976248\|2 - 1231920)cosh(x) +--R + +--R +-+ 7 +--R (- 1427688\|2 + 1841760)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1106664\|2 - 1441872)cosh(x) + (- 298536\|2 + 394656)cosh(x) +--R + +--R +-+ +--R (19176\|2 - 25488)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (- 90\|2 + 120)cosh(x) + (4086\|2 - 5448)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 49338\|2 + 65784)cosh(x) + (183222\|2 - 244296)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 287118\|2 + 382824)cosh(x) + (263250\|2 - 351000)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 86958\|2 + 115944)cosh(x) + (10242\|2 - 13656)cosh(x) +--R + +--R +-+ +--R - 432\|2 + 576 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (87\|2 - 116)sinh(x) + (788\|2 - 1008)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((3072\|2 - 3584)cosh(x) - 2217\|2 + 2956)sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R ((6812\|2 - 6224)cosh(x) + (- 17108\|2 + 21864)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (10292\|2 - 3824)cosh(x) + (- 56755\|2 + 66052)cosh(x) +--R + +--R +-+ +--R 20607\|2 - 27476 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (14772\|2 + 4240)cosh(x) + (- 109288\|2 + 100624)cosh(x) +--R + +--R +-+ +--R (132948\|2 - 169616)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (26048\|2 + 8448)cosh(x) + (- 152177\|2 + 72876)cosh(x) +--R + +--R +-+ 2 +-+ +--R (368478\|2 - 426728)cosh(x) - 76617\|2 + 102156 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (43164\|2 + 2992)cosh(x) + (- 203244\|2 + 11032)cosh(x) +--R + +--R +-+ 3 +-+ +--R (602628\|2 - 554576)cosh(x) + (- 422772\|2 + 539592)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (52074\|2 - 1848)cosh(x) + (- 280371\|2 - 10812)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (729873\|2 - 388716)cosh(x) + (- 1003317\|2 + 1168668)cosh(x) +--R + +--R +-+ +--R 124317\|2 - 165756 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (43164\|2 + 2992)cosh(x) + (- 323760\|2 - 4896)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (809640\|2 - 140064)cosh(x) + (- 1395312\|2 + 1327968)cosh(x) +--R + +--R +-+ +--R (585756\|2 - 752208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (26048\|2 + 8448)cosh(x) + (- 280371\|2 - 10812)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (852516\|2 - 42672)cosh(x) + (- 1400322\|2 + 873432)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1179972\|2 - 1412400)cosh(x) - 89955\|2 + 119940 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (14772\|2 + 4240)cosh(x) + (- 203244\|2 + 11032)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (809640\|2 - 140064)cosh(x) + (- 1324344\|2 + 553392)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1437156\|2 - 1531824)cosh(x) + (- 357532\|2 + 463608)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (10292\|2 - 3824)cosh(x) + (- 152177\|2 + 72876)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (729873\|2 - 388716)cosh(x) + (- 1400322\|2 + 873432)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (1437246\|2 - 1411752)cosh(x) + (- 642701\|2 + 806268)cosh(x) +--R + +--R +-+ +--R 26877\|2 - 35836 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R (6812\|2 - 6224)cosh(x) + (- 109288\|2 + 100624)cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R (602628\|2 - 554576)cosh(x) + (- 1395312\|2 + 1327968)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1437156\|2 - 1531824)cosh(x) + (- 750248\|2 + 925200)cosh(x) +--R + +--R +-+ +--R (83324\|2 - 109360)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (3072\|2 - 3584)cosh(x) + (- 56755\|2 + 66052)cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R (368478\|2 - 426728)cosh(x) + (- 1003317\|2 + 1168668)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1179972\|2 - 1412400)cosh(x) + (- 642701\|2 + 806268)cosh(x) +--R + +--R +-+ 2 +-+ +--R (113982\|2 - 148584)cosh(x) - 3243\|2 + 4324 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (788\|2 - 1008)cosh(x) + (- 17108\|2 + 21864)cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R (132948\|2 - 169616)cosh(x) + (- 422772\|2 + 539592)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (585756\|2 - 752208)cosh(x) + (- 357532\|2 + 463608)cosh(x) +--R + +--R +-+ 3 +-+ +--R (83324\|2 - 109360)cosh(x) + (- 5404\|2 + 7128)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (87\|2 - 116)cosh(x) + (- 2217\|2 + 2956)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (20607\|2 - 27476)cosh(x) + (- 76617\|2 + 102156)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (124317\|2 - 165756)cosh(x) + (- 89955\|2 + 119940)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (26877\|2 - 35836)cosh(x) + (- 3243\|2 + 4324)cosh(x) + 144\|2 - 192 +--R / +--R +-+ 16 +-+ 15 +--R (1152\|2 - 1536)sinh(x) + (11776\|2 - 15360)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((53760\|2 - 67584)cosh(x) - 24576\|2 + 32768)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((143872\|2 - 168960)cosh(x) + (- 210432\|2 + 273408)cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (248320\|2 - 251904)cosh(x) + (- 789504\|2 + 978944)cosh(x) +--R + +--R +-+ +--R 198144\|2 - 264192 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (284160\|2 - 187392)cosh(x) + (- 1692672\|2 + 1906688)cosh(x) +--R + +--R +-+ +--R (1390080\|2 - 1797120)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (208384\|2 + 67584)cosh(x) + (- 2251776\|2 + 1978368)cosh(x) +--R + +--R +-+ 2 +-+ +--R (4167168\|2 - 5068800)cosh(x) - 737280\|2 + 983040 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (84480\|2 + 371712)cosh(x) + (- 1853952\|2 + 398336)cosh(x) +--R + +--R +-+ 3 +-+ +--R (6876672\|2 - 7240704)cosh(x) + (- 4161024\|2 + 5348352)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (25344\|2 + 506880)cosh(x) + (- 866304\|2 - 1941504)cosh(x) +--R + +--R +-+ 4 +--R (6615552\|2 - 4184064)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 9676800\|2 + 11476992)cosh(x) + 1223424\|2 - 1631232 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (84480\|2 + 371712)cosh(x) + (- 350208\|2 - 3059712)cosh(x) +--R + +--R +-+ 5 +--R (3628032\|2 + 2746368)cosh(x) +--R + +--R +-+ 3 +--R (- 11704320\|2 + 11046912)cosh(x) +--R + +--R +-+ +--R (5564928\|2 - 7123968)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (208384\|2 + 67584)cosh(x) + (- 866304\|2 - 1941504)cosh(x) +--R + +--R +-+ 6 +--R (1827840\|2 + 6451200)cosh(x) +--R + +--R +-+ 4 +--R (- 7870464\|2 + 1892352)cosh(x) +--R + +--R +-+ 2 +-+ +--R (9887232\|2 - 11483136)cosh(x) - 737280\|2 + 983040 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (284160\|2 - 187392)cosh(x) + (- 1853952\|2 + 398336)cosh(x) +--R + +--R +-+ 7 +--R (3628032\|2 + 2746368)cosh(x) +--R + +--R +-+ 5 +--R (- 4838400\|2 - 4085760)cosh(x) +--R + +--R +-+ 3 +-+ +--R (9039360\|2 - 7916544)cosh(x) + (- 2769408\|2 + 3572736)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +--R (248320\|2 - 251904)cosh(x) +--R + +--R +-+ 10 +--R (- 2251776\|2 + 1978368)cosh(x) +--R + +--R +-+ 8 +--R (6615552\|2 - 4184064)cosh(x) +--R + +--R +-+ 6 +--R (- 7870464\|2 + 1892352)cosh(x) +--R + +--R +-+ 4 +--R (6987264\|2 - 3852288)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 4598784\|2 + 5664768)cosh(x) + 198144\|2 - 264192 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +--R (143872\|2 - 168960)cosh(x) +--R + +--R +-+ 11 +--R (- 1692672\|2 + 1906688)cosh(x) +--R + +--R +-+ 9 +--R (6876672\|2 - 7240704)cosh(x) +--R + +--R +-+ 7 +--R (- 11704320\|2 + 11046912)cosh(x) +--R + +--R +-+ 5 +--R (9039360\|2 - 7916544)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5133312\|2 + 6150144)cosh(x) + (537088\|2 - 697344)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (53760\|2 - 67584)cosh(x) + (- 789504\|2 + 978944)cosh(x) +--R + +--R +-+ 10 +--R (4167168\|2 - 5068800)cosh(x) +--R + +--R +-+ 8 +--R (- 9676800\|2 + 11476992)cosh(x) +--R + +--R +-+ 6 +--R (9887232\|2 - 11483136)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 4598784\|2 + 5664768)cosh(x) + (686592\|2 - 878592)cosh(x) +--R + +--R +-+ +--R - 24576\|2 + 32768 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (11776\|2 - 15360)cosh(x) + (- 210432\|2 + 273408)cosh(x) +--R + +--R +-+ 11 +--R (1390080\|2 - 1797120)cosh(x) +--R + +--R +-+ 9 +--R (- 4161024\|2 + 5348352)cosh(x) +--R + +--R +-+ 7 +--R (5564928\|2 - 7123968)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 2769408\|2 + 3572736)cosh(x) + (537088\|2 - 697344)cosh(x) +--R + +--R +-+ +--R (- 35328\|2 + 46080)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (1152\|2 - 1536)cosh(x) + (- 24576\|2 + 32768)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (198144\|2 - 264192)cosh(x) + (- 737280\|2 + 983040)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (1223424\|2 - 1631232)cosh(x) + (- 737280\|2 + 983040)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (198144\|2 - 264192)cosh(x) + (- 24576\|2 + 32768)cosh(x) +--R + +--R +-+ +--R 1152\|2 - 1536 +--R * +--R 6 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (- 1728\|2 + 2304)sinh(x) + (- 17664\|2 + 23040)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((- 80640\|2 + 101376)cosh(x) + 36864\|2 - 49152)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 215808\|2 + 253440)cosh(x) + (315648\|2 - 410112)cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 372480\|2 + 377856)cosh(x) + (1184256\|2 - 1468416)cosh(x) +--R + +--R +-+ +--R - 297216\|2 + 396288 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 426240\|2 + 281088)cosh(x) + (2539008\|2 - 2860032)cosh(x) +--R + +--R +-+ +--R (- 2085120\|2 + 2695680)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 312576\|2 - 101376)cosh(x) + (3377664\|2 - 2967552)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6250752\|2 + 7603200)cosh(x) + 1105920\|2 - 1474560 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 126720\|2 - 557568)cosh(x) + (2780928\|2 - 597504)cosh(x) +--R + +--R +-+ 3 +--R (- 10315008\|2 + 10861056)cosh(x) +--R + +--R +-+ +--R (6241536\|2 - 8022528)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 38016\|2 - 760320)cosh(x) + (1299456\|2 + 2912256)cosh(x) +--R + +--R +-+ 4 +--R (- 9923328\|2 + 6276096)cosh(x) +--R + +--R +-+ 2 +-+ +--R (14515200\|2 - 17215488)cosh(x) - 1835136\|2 + 2446848 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 126720\|2 - 557568)cosh(x) + (525312\|2 + 4589568)cosh(x) +--R + +--R +-+ 5 +--R (- 5442048\|2 - 4119552)cosh(x) +--R + +--R +-+ 3 +--R (17556480\|2 - 16570368)cosh(x) +--R + +--R +-+ +--R (- 8347392\|2 + 10685952)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +--R (- 312576\|2 - 101376)cosh(x) +--R + +--R +-+ 8 +--R (1299456\|2 + 2912256)cosh(x) +--R + +--R +-+ 6 +--R (- 2741760\|2 - 9676800)cosh(x) +--R + +--R +-+ 4 +--R (11805696\|2 - 2838528)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 14830848\|2 + 17224704)cosh(x) + 1105920\|2 - 1474560 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 426240\|2 + 281088)cosh(x) + (2780928\|2 - 597504)cosh(x) +--R + +--R +-+ 7 +--R (- 5442048\|2 - 4119552)cosh(x) +--R + +--R +-+ 5 +--R (7257600\|2 + 6128640)cosh(x) +--R + +--R +-+ 3 +--R (- 13559040\|2 + 11874816)cosh(x) +--R + +--R +-+ +--R (4154112\|2 - 5359104)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +--R (- 372480\|2 + 377856)cosh(x) +--R + +--R +-+ 10 +--R (3377664\|2 - 2967552)cosh(x) +--R + +--R +-+ 8 +--R (- 9923328\|2 + 6276096)cosh(x) +--R + +--R +-+ 6 +--R (11805696\|2 - 2838528)cosh(x) +--R + +--R +-+ 4 +--R (- 10480896\|2 + 5778432)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6898176\|2 - 8497152)cosh(x) - 297216\|2 + 396288 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +--R (- 215808\|2 + 253440)cosh(x) +--R + +--R +-+ 11 +--R (2539008\|2 - 2860032)cosh(x) +--R + +--R +-+ 9 +--R (- 10315008\|2 + 10861056)cosh(x) +--R + +--R +-+ 7 +--R (17556480\|2 - 16570368)cosh(x) +--R + +--R +-+ 5 +--R (- 13559040\|2 + 11874816)cosh(x) +--R + +--R +-+ 3 +-+ +--R (7699968\|2 - 9225216)cosh(x) + (- 805632\|2 + 1046016)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +--R (- 80640\|2 + 101376)cosh(x) +--R + +--R +-+ 12 +--R (1184256\|2 - 1468416)cosh(x) +--R + +--R +-+ 10 +--R (- 6250752\|2 + 7603200)cosh(x) +--R + +--R +-+ 8 +--R (14515200\|2 - 17215488)cosh(x) +--R + +--R +-+ 6 +--R (- 14830848\|2 + 17224704)cosh(x) +--R + +--R +-+ 4 +--R (6898176\|2 - 8497152)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 1029888\|2 + 1317888)cosh(x) + 36864\|2 - 49152 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (- 17664\|2 + 23040)cosh(x) + (315648\|2 - 410112)cosh(x) +--R + +--R +-+ 11 +--R (- 2085120\|2 + 2695680)cosh(x) +--R + +--R +-+ 9 +--R (6241536\|2 - 8022528)cosh(x) +--R + +--R +-+ 7 +--R (- 8347392\|2 + 10685952)cosh(x) +--R + +--R +-+ 5 +--R (4154112\|2 - 5359104)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 805632\|2 + 1046016)cosh(x) + (52992\|2 - 69120)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (- 1728\|2 + 2304)cosh(x) + (36864\|2 - 49152)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 297216\|2 + 396288)cosh(x) + (1105920\|2 - 1474560)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 1835136\|2 + 2446848)cosh(x) + (1105920\|2 - 1474560)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 297216\|2 + 396288)cosh(x) + (36864\|2 - 49152)cosh(x) +--R + +--R +-+ +--R - 1728\|2 + 2304 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (864\|2 - 1152)sinh(x) + (8832\|2 - 11520)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((40320\|2 - 50688)cosh(x) - 18432\|2 + 24576)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((107904\|2 - 126720)cosh(x) + (- 157824\|2 + 205056)cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (186240\|2 - 188928)cosh(x) + (- 592128\|2 + 734208)cosh(x) +--R + +--R +-+ +--R 148608\|2 - 198144 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (213120\|2 - 140544)cosh(x) + (- 1269504\|2 + 1430016)cosh(x) +--R + +--R +-+ +--R (1042560\|2 - 1347840)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (156288\|2 + 50688)cosh(x) + (- 1688832\|2 + 1483776)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3125376\|2 - 3801600)cosh(x) - 552960\|2 + 737280 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (63360\|2 + 278784)cosh(x) + (- 1390464\|2 + 298752)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5157504\|2 - 5430528)cosh(x) + (- 3120768\|2 + 4011264)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (19008\|2 + 380160)cosh(x) + (- 649728\|2 - 1456128)cosh(x) +--R + +--R +-+ 4 +--R (4961664\|2 - 3138048)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 7257600\|2 + 8607744)cosh(x) + 917568\|2 - 1223424 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (63360\|2 + 278784)cosh(x) + (- 262656\|2 - 2294784)cosh(x) +--R + +--R +-+ 5 +--R (2721024\|2 + 2059776)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 8778240\|2 + 8285184)cosh(x) + (4173696\|2 - 5342976)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (156288\|2 + 50688)cosh(x) + (- 649728\|2 - 1456128)cosh(x) +--R + +--R +-+ 6 +--R (1370880\|2 + 4838400)cosh(x) +--R + +--R +-+ 4 +--R (- 5902848\|2 + 1419264)cosh(x) +--R + +--R +-+ 2 +-+ +--R (7415424\|2 - 8612352)cosh(x) - 552960\|2 + 737280 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (213120\|2 - 140544)cosh(x) + (- 1390464\|2 + 298752)cosh(x) +--R + +--R +-+ 7 +--R (2721024\|2 + 2059776)cosh(x) +--R + +--R +-+ 5 +--R (- 3628800\|2 - 3064320)cosh(x) +--R + +--R +-+ 3 +-+ +--R (6779520\|2 - 5937408)cosh(x) + (- 2077056\|2 + 2679552)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +--R (186240\|2 - 188928)cosh(x) +--R + +--R +-+ 10 +--R (- 1688832\|2 + 1483776)cosh(x) +--R + +--R +-+ 8 +--R (4961664\|2 - 3138048)cosh(x) +--R + +--R +-+ 6 +--R (- 5902848\|2 + 1419264)cosh(x) +--R + +--R +-+ 4 +--R (5240448\|2 - 2889216)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3449088\|2 + 4248576)cosh(x) + 148608\|2 - 198144 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +--R (107904\|2 - 126720)cosh(x) +--R + +--R +-+ 11 +--R (- 1269504\|2 + 1430016)cosh(x) +--R + +--R +-+ 9 +--R (5157504\|2 - 5430528)cosh(x) +--R + +--R +-+ 7 +--R (- 8778240\|2 + 8285184)cosh(x) +--R + +--R +-+ 5 +--R (6779520\|2 - 5937408)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3849984\|2 + 4612608)cosh(x) + (402816\|2 - 523008)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (40320\|2 - 50688)cosh(x) + (- 592128\|2 + 734208)cosh(x) +--R + +--R +-+ 10 +--R (3125376\|2 - 3801600)cosh(x) +--R + +--R +-+ 8 +--R (- 7257600\|2 + 8607744)cosh(x) +--R + +--R +-+ 6 +--R (7415424\|2 - 8612352)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 3449088\|2 + 4248576)cosh(x) + (514944\|2 - 658944)cosh(x) +--R + +--R +-+ +--R - 18432\|2 + 24576 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (8832\|2 - 11520)cosh(x) + (- 157824\|2 + 205056)cosh(x) +--R + +--R +-+ 11 +--R (1042560\|2 - 1347840)cosh(x) +--R + +--R +-+ 9 +--R (- 3120768\|2 + 4011264)cosh(x) +--R + +--R +-+ 7 +--R (4173696\|2 - 5342976)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 2077056\|2 + 2679552)cosh(x) + (402816\|2 - 523008)cosh(x) +--R + +--R +-+ +--R (- 26496\|2 + 34560)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (864\|2 - 1152)cosh(x) + (- 18432\|2 + 24576)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (148608\|2 - 198144)cosh(x) + (- 552960\|2 + 737280)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (917568\|2 - 1223424)cosh(x) + (- 552960\|2 + 737280)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (148608\|2 - 198144)cosh(x) + (- 18432\|2 + 24576)cosh(x) +--R + +--R +-+ +--R 864\|2 - 1152 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R (- 144\|2 + 192)sinh(x) + (- 1472\|2 + 1920)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R ((- 6720\|2 + 8448)cosh(x) + 3072\|2 - 4096)sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R ((- 17984\|2 + 21120)cosh(x) + (26304\|2 - 34176)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 31040\|2 + 31488)cosh(x) + (98688\|2 - 122368)cosh(x) +--R + +--R +-+ +--R - 24768\|2 + 33024 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 35520\|2 + 23424)cosh(x) + (211584\|2 - 238336)cosh(x) +--R + +--R +-+ +--R (- 173760\|2 + 224640)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 26048\|2 - 8448)cosh(x) + (281472\|2 - 247296)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 520896\|2 + 633600)cosh(x) + 92160\|2 - 122880 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 10560\|2 - 46464)cosh(x) + (231744\|2 - 49792)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 859584\|2 + 905088)cosh(x) + (520128\|2 - 668544)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 3168\|2 - 63360)cosh(x) + (108288\|2 + 242688)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 826944\|2 + 523008)cosh(x) + (1209600\|2 - 1434624)cosh(x) +--R + +--R +-+ +--R - 152928\|2 + 203904 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 10560\|2 - 46464)cosh(x) + (43776\|2 + 382464)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 453504\|2 - 343296)cosh(x) + (1463040\|2 - 1380864)cosh(x) +--R + +--R +-+ +--R (- 695616\|2 + 890496)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 26048\|2 - 8448)cosh(x) + (108288\|2 + 242688)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 228480\|2 - 806400)cosh(x) + (983808\|2 - 236544)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 1235904\|2 + 1435392)cosh(x) + 92160\|2 - 122880 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 35520\|2 + 23424)cosh(x) + (231744\|2 - 49792)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 453504\|2 - 343296)cosh(x) + (604800\|2 + 510720)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 1129920\|2 + 989568)cosh(x) + (346176\|2 - 446592)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 31040\|2 + 31488)cosh(x) + (281472\|2 - 247296)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 826944\|2 + 523008)cosh(x) + (983808\|2 - 236544)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 873408\|2 + 481536)cosh(x) + (574848\|2 - 708096)cosh(x) +--R + +--R +-+ +--R - 24768\|2 + 33024 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R (- 17984\|2 + 21120)cosh(x) + (211584\|2 - 238336)cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 859584\|2 + 905088)cosh(x) + (1463040\|2 - 1380864)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1129920\|2 + 989568)cosh(x) + (641664\|2 - 768768)cosh(x) +--R + +--R +-+ +--R (- 67136\|2 + 87168)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R (- 6720\|2 + 8448)cosh(x) + (98688\|2 - 122368)cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 520896\|2 + 633600)cosh(x) + (1209600\|2 - 1434624)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 1235904\|2 + 1435392)cosh(x) + (574848\|2 - 708096)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 85824\|2 + 109824)cosh(x) + 3072\|2 - 4096 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R (- 1472\|2 + 1920)cosh(x) + (26304\|2 - 34176)cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 173760\|2 + 224640)cosh(x) + (520128\|2 - 668544)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 695616\|2 + 890496)cosh(x) + (346176\|2 - 446592)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 67136\|2 + 87168)cosh(x) + (4416\|2 - 5760)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R (- 144\|2 + 192)cosh(x) + (3072\|2 - 4096)cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 24768\|2 + 33024)cosh(x) + (92160\|2 - 122880)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 152928\|2 + 203904)cosh(x) + (92160\|2 - 122880)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 24768\|2 + 33024)cosh(x) + (3072\|2 - 4096)cosh(x) - 144\|2 + 192 +--R Type: Expression Integer +--E 335 + +--S 336 of 510 +t0065:= (1-sinh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (288) \|- sinh(x) + 1 +--R Type: Expression Integer +--E 336 + +--S 337 of 510 +r0065:= x +--R +--R +--R (289) x +--R Type: Variable x +--E 337 + +--S 338 of 510 +a0065:= integrate(t0065,x) +--R +--R +--R x +---------------+ +--R ++ | 2 +--R (290) | \|- sinh(%N) + 1 d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 338 + +--S 339 of 510 +m0065:= a0065-r0065 +--R +--R +--R x +---------------+ +--R ++ | 2 +--R (291) | \|- sinh(%N) + 1 d%N - x +--R ++ +--R Type: Expression Integer +--E 339 + +--S 340 of 510 +d0065:= D(m0065,x) +--R +--R +--R +--------------+ +--R | 2 +--R (292) \|- sinh(x) + 1 - 1 +--R Type: Expression Integer +--E 340 + +--S 341 of 510 +t0066:= (-1+sinh(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (293) \|sinh(x) - 1 +--R Type: Expression Integer +--E 341 + +--S 342 of 510 +r0066:= (-3+cosh(2*x))^(1/2)*x/(3-cosh(2*x))^(1/2) +--R +--R +--R +------------+ +--R x\|cosh(2x) - 3 +--R (294) ----------------- +--R +--------------+ +--R \|- cosh(2x) + 3 +--R Type: Expression Integer +--E 342 + +--S 343 of 510 +a0066:= integrate(t0066,x) +--R +--R +--R x +-------------+ +--R ++ | 2 +--R (295) | \|sinh(%N) - 1 d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 510 +m0066:= a0066-r0066 +--R +--R +--R x +-------------+ +--R +--------------+ ++ | 2 +------------+ +--R \|- cosh(2x) + 3 | \|sinh(%N) - 1 d%N - x\|cosh(2x) - 3 +--R ++ +--R (296) ------------------------------------------------------------- +--R +--------------+ +--R \|- cosh(2x) + 3 +--R Type: Expression Integer +--E 344 + +--S 345 of 510 +d0066:= D(m0066,x) +--R +--R +--R +------------+ +--R +--------------+ +------------+ | 2 +--R \|- cosh(2x) + 3 \|cosh(2x) - 3 \|sinh(x) - 1 - cosh(2x) + 3 +--R (297) -------------------------------------------------------------- +--R +--------------+ +------------+ +--R \|- cosh(2x) + 3 \|cosh(2x) - 3 +--R Type: Expression Integer +--E 345 + +--S 346 of 510 +t0067:= (a+b*sinh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (298) \|b sinh(x) + a +--R Type: Expression Integer +--E 346 + +--S 347 of 510 +r0067:= -%i*(2*a-b+b*cosh(2*x))^(1/2)*EllipticE(%i*x,b/a)/((2*a-b+b*cosh(2*x))/a)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 347 + +--S 348 of 510 +a0067:= integrate(t0067,x) +--R +--R +--R x +---------------+ +--R ++ | 2 +--R (299) | \|b sinh(%N) + a d%N +--R ++ +--R Type: Union(Expression Integer,...) +--E 348 + +--S 349 of 510 +m0067:= a0067-r0067 +--R +--R +--R x +---------------+ +--R ++ | 2 +--R (300) | \|b sinh(%N) + a d%N - r0067 +--R ++ +--R Type: Expression Integer +--E 349 + +--S 350 of 510 +d0067:= D(m0067,x) +--R +--R +--R +--------------+ +--R | 2 +--R (301) \|b sinh(x) + a +--R Type: Expression Integer +--E 350 + +--S 351 of 510 +t0068:= 1/(1-sinh(x)^2)^(1/2) +--R +--R +--R 1 +--R (302) ----------------- +--R +--------------+ +--R | 2 +--R \|- sinh(x) + 1 +--R Type: Expression Integer +--E 351 + +--S 352 of 510 +r0068:= atan(x) +--R +--R +--R (303) atan(x) +--R Type: Expression Integer +--E 352 + +--S 353 of 510 +a0068:= integrate(t0068,x) +--R +--R +--R x +--R ++ 1 +--R (304) | ------------------ d%N +--R ++ +---------------+ +--R | 2 +--R \|- sinh(%N) + 1 +--R Type: Union(Expression Integer,...) +--E 353 + +--S 354 of 510 +m0068:= a0068-r0068 +--R +--R +--R x +--R ++ 1 +--R (305) | ------------------ d%N - atan(x) +--R ++ +---------------+ +--R | 2 +--R \|- sinh(%N) + 1 +--R Type: Expression Integer +--E 354 + +--S 355 of 510 +d0068:= D(m0068,x) +--R +--R +--R +--------------+ +--R | 2 2 +--R - \|- sinh(x) + 1 + x + 1 +--R (306) ---------------------------- +--R +--------------+ +--R 2 | 2 +--R (x + 1)\|- sinh(x) + 1 +--R Type: Expression Integer +--E 355 + +--S 356 of 510 +t0069:= 1/(-1+sinh(x)^2)^(1/2) +--R +--R +--R 1 +--R (307) --------------- +--R +------------+ +--R | 2 +--R \|sinh(x) - 1 +--R Type: Expression Integer +--E 356 + +--S 357 of 510 +r0069:= (3-cosh(2*x))^(1/2)*atan(x)/(-3+cosh(2*x))^(1/2) +--R +--R +--R +--------------+ +--R atan(x)\|- cosh(2x) + 3 +--R (308) ------------------------ +--R +------------+ +--R \|cosh(2x) - 3 +--R Type: Expression Integer +--E 357 + +--S 358 of 510 +a0069:= integrate(t0069,x) +--R +--R +--R x +--R ++ 1 +--R (309) | ---------------- d%N +--R ++ +-------------+ +--R | 2 +--R \|sinh(%N) - 1 +--R Type: Union(Expression Integer,...) +--E 358 + +--S 359 of 510 +m0069:= a0069-r0069 +--R +--R +--R x +--R +------------+ ++ 1 +--------------+ +--R \|cosh(2x) - 3 | ---------------- d%N - atan(x)\|- cosh(2x) + 3 +--R ++ +-------------+ +--R | 2 +--R \|sinh(%N) - 1 +--R (310) -------------------------------------------------------------------- +--R +------------+ +--R \|cosh(2x) - 3 +--R Type: Expression Integer +--E 359 + +--S 360 of 510 +d0069:= D(m0069,x) +--R +--R +--R (311) +--R +------------+ +--R | 2 2 +--------------+ +------------+ +--R (cosh(2x) - 3)\|sinh(x) - 1 + (x + 1)\|- cosh(2x) + 3 \|cosh(2x) - 3 +--R ------------------------------------------------------------------------ +--R +------------+ +--R 2 +--------------+ +------------+ | 2 +--R (x + 1)\|- cosh(2x) + 3 \|cosh(2x) - 3 \|sinh(x) - 1 +--R Type: Expression Integer +--E 360 + +--S 361 of 510 +t0070:= 1/(a+b*sinh(x)^2)^(1/2) +--R +--R +--R 1 +--R (312) ----------------- +--R +--------------+ +--R | 2 +--R \|b sinh(x) + a +--R Type: Expression Integer +--E 361 + +--S 362 of 510 +r0070:= -%i*((2*a-b+b*cosh(2*x))/a)^(1/2)*EllipticF(%i*x,b/a)/(2*a-b+b*cosh(2*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 362 + +--S 363 of 510 +a0070:= integrate(t0070,x) +--R +--R +--R x +--R ++ 1 +--R (313) | ------------------ d%N +--R ++ +---------------+ +--R | 2 +--R \|b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 363 + +--S 364 of 510 +m0070:= a0070-r0070 +--R +--R +--R x +--R ++ 1 +--R (314) | ------------------ d%N - r0070 +--R ++ +---------------+ +--R | 2 +--R \|b sinh(%N) + a +--R Type: Expression Integer +--E 364 + +--S 365 of 510 +d0070:= D(m0070,x) +--R +--R +--R 1 +--R (315) ----------------- +--R +--------------+ +--R | 2 +--R \|b sinh(x) + a +--R Type: Expression Integer +--E 365 + +--S 366 of 510 +t0071:= x/(a+b*sinh(x)^2) +--R +--R +--R x +--R (316) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 366 + +--S 367 of 510 +r0071:= -1/4*(-2*x*log((-2*a+2*a^(1/2)*(a-b)^(1/2)+b-b*exp(2*x))/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+2*x*log((2*a+2*a^(1/2)*(a-b)^(1/2)-b+b*exp(2*x))/(2*a+2*a^(1/2)*(a-b)^(1/2)-b))-polylog(2,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+polylog(2,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x)))/a^(1/2)/(a-b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 367 + +--S 368 of 510 +a0071:= integrate(t0071,x) +--R +--R +--R x +--R ++ %N +--R (317) | --------------- d%N +--R ++ 2 +--R b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 368 + +--S 369 of 510 +m0071:= a0071-r0071 +--R +--R +--R x +--R ++ %N +--R (318) | --------------- d%N - r0071 +--R ++ 2 +--R b sinh(%N) + a +--R Type: Expression Integer +--E 369 + +--S 370 of 510 +d0071:= D(m0071,x) +--R +--R +--R x +--R (319) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 370 + +--S 371 of 510 +t0072:= x^2/(a+b*sinh(x)^2) +--R +--R +--R 2 +--R x +--R (320) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 371 + +--S 372 of 510 +r0072:= -1/4*(-2*x^2*log((-2*a+2*a^(1/2)*(a-b)^(1/2)+b-b*exp(2*x))/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+2*x^2*log((2*a+2*a^(1/2)*(a-b)^(1/2)-b+b*exp(2*x))/(2*a+2*a^(1/2)*(a-b)^(1/2)-b))-2*x*polylog(2,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+2*x*polylog(2,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x))+polylog(3,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))-polylog(3,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x)))/a^(1/2)/(a-b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 372 + +--S 373 of 510 +a0072:= integrate(t0072,x) +--R +--R +--R x 2 +--R ++ %N +--R (321) | --------------- d%N +--R ++ 2 +--R b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 373 + +--S 374 of 510 +m0072:= a0072-r0072 +--R +--R +--R x 2 +--R ++ %N +--R (322) | --------------- d%N - r0072 +--R ++ 2 +--R b sinh(%N) + a +--R Type: Expression Integer +--E 374 + +--S 375 of 510 +d0072:= D(m0072,x) +--R +--R +--R 2 +--R x +--R (323) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 375 + +--S 376 of 510 +t0073:= x^3/(a+b*sinh(x)^2) +--R +--R +--R 3 +--R x +--R (324) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 376 + +--S 377 of 510 +r0073:= -1/8*(-4*x^3*log((-2*a+2*a^(1/2)*(a-b)^(1/2)+b-b*exp(2*x))/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+4*x^3*log((2*a+2*a^(1/2)*(a-b)^(1/2)-b+b*exp(2*x))/(2*a+2*a^(1/2)*(a-b)^(1/2)-b))-6*x^2*polylog(2,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+6*x^2*polylog(2,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x))+6*x*polylog(3,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))-6*x*polylog(3,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x))-3*polylog(4,b*exp(2*x)/(-2*a+2*a^(1/2)*(a-b)^(1/2)+b))+3*polylog(4,-1/(2*a+2*a^(1/2)*(a-b)^(1/2)-b)*b*exp(2*x)))/a^(1/2)/(a-b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 377 + +--S 378 of 510 +a0073:= integrate(t0073,x) +--R +--R +--R x 3 +--R ++ %N +--R (325) | --------------- d%N +--R ++ 2 +--R b sinh(%N) + a +--R Type: Union(Expression Integer,...) +--E 378 + +--S 379 of 510 +m0073:= a0073-r0073 +--R +--R +--R x 3 +--R ++ %N +--R (326) | --------------- d%N - r0073 +--R ++ 2 +--R b sinh(%N) + a +--R Type: Expression Integer +--E 379 + +--S 380 of 510 +d0073:= D(m0073,x) +--R +--R +--R 3 +--R x +--R (327) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 380 + +--S 381 of 510 +t0074:= 1/(a+b*sinh(x)^3) +--R +--R +--R 1 +--R (328) -------------- +--R 3 +--R b sinh(x) + a +--R Type: Expression Integer +--E 381 + +--S 382 of 510 +r0074:= -2/3*atanh((b^(1/3)-a^(1/3)*tanh(1/2*x))/(a^(2/3)+b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)+b^(2/3))^(1/2)-2/3*atanh(((-1)^(2/3)*b^(1/3)-a^(1/3)*tanh(1/2*x))/(a^(2/3)-(-1)^(1/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)-(-1)^(1/3)*b^(2/3))^(1/2)+2/3*atanh(((-1)^(1/3)*b^(1/3)+a^(1/3)*tanh(1/2*x))/(a^(2/3)+(-1)^(2/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)+(-1)^(2/3)*b^(2/3))^(1/2) +--R +--R +--R (329) +--R - +--R +-------------+ +--------------------+ +--R |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 2\|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+2 3+-+ x 3+-+ +--R \|- 1 \|b - tanh(-)\|a +--R 2 +--R atanh(-------------------------) +--R +---------------------+ +--R | 3+---+3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +---------------------+ +--------------------+ +--R | 3+---+3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+-+ x 3+-+ +--R \|b - tanh(-)\|a +--R 2 +--R atanh(------------------) +--R +-------------+ +--R |3+-+2 3+-+2 +--R \|\|b + \|a +--R + +--R 3+---+3+-+ x 3+-+ +--R +---------------------+ +-------------+ \|- 1 \|b + tanh(-)\|a +--R | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 2 +--R 2\|- \|- 1 \|b + \|a \|\|b + \|a atanh(------------------------) +--R +--------------------+ +--R |3+---+2 3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +---------------------+ +-------------+ +--------------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 382 + +--S 383 of 510 +a0074:= integrate(t0074,x) +--R +--R +--R (330) +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b + 486a )%%ER0 - 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (- 162a b - 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 2 2 4 +--R (- 81a b - 162a b - 81a )%%ER0 + (18a b + 18a )%%ER0 +--R + +--R 2 2 +--R - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b + 486a )%%ER0 - 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (162a b + 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b - 486a )%%ER0 + 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (162a b + 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 2 2 4 +--R (- 81a b - 162a b - 81a )%%ER0 + (18a b + 18a )%%ER0 +--R + +--R 2 2 +--R - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b - 486a )%%ER0 + 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (- 162a b - 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R - +--R +------+ +--R \|4%%ER0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a ) +--R * +--R +------+ +--R \|4%%ER0 +--R + +--R 3 2 5 2 3 +--R (162a b + 162a )%%ER0 - 54a %%ER0 + 2b sinh(x) + 2b cosh(x) +--R + +--R 4a +--R + +--R +------+ +--R \|4%%ER0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a ) +--R * +--R +------+ +--R \|4%%ER0 +--R + +--R 3 2 5 2 3 +--R (162a b + 162a )%%ER0 - 54a %%ER0 + 2b sinh(x) + 2b cosh(x) + 4a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 383 + +--S 384 of 510 +m0074:= a0074-r0074 +--R +--R +--R (331) +--R +---------------------+ +-------------+ +--------------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b + 486a )%%ER0 - 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (- 162a b - 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 2 2 4 +--R (- 81a b - 162a b - 81a )%%ER0 + (18a b + 18a )%%ER0 +--R + +--R 2 2 +--R - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R +---------------------+ +-------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a +--R * +--R +--------------------+ +--R |3+---+2 3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b + 486a )%%ER0 - 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (162a b + 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R +---------------------+ +-------------+ +--------------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b - 486a )%%ER0 + 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (162a b + 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 2 2 4 +--R (- 81a b - 162a b - 81a )%%ER0 + (18a b + 18a )%%ER0 +--R + +--R 2 2 +--R - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R +---------------------+ +-------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a +--R * +--R +--------------------+ +--R |3+---+2 3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b - 486a )%%ER0 + 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 2 2 +--R (- 6b - 6a )%%ER0 + 2 +--R / +--R 2 2 +--R 3b + 3a +--R + +--R 3 2 5 +--R (- 162a b - 162a )%%ER0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b - 162a b - 81a )%%ER0 +--R + +--R 2 2 4 2 2 +--R (18a b + 18a )%%ER0 - 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b + 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b - 162a )%%ER0 + 54a %%ER0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R - +--R +---------------------+ +-------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a +--R * +--R +--------------------+ +--R |3+---+2 3+-+2 3+-+2 +------+ +--R \|\|- 1 \|b + \|a \|4%%ER0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((486a b + 486a )%%ER0 + (27a b - 135a )%%ER0 + 9a ) +--R * +--R +------+ +--R \|4%%ER0 +--R + +--R 3 2 5 2 3 +--R (162a b + 162a )%%ER0 - 54a %%ER0 + 2b sinh(x) + 2b cosh(x) +--R + +--R 4a +--R + +--R +---------------------+ +-------------+ +--------------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%ER0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b - 486a )%%ER0 + (- 27a b + 135a )%%ER0 - 9a ) +--R * +--R +------+ +--R \|4%%ER0 +--R + +--R 3 2 5 2 3 +--R (162a b + 162a )%%ER0 - 54a %%ER0 + 2b sinh(x) + 2b cosh(x) + 4a +--R + +--R 3+---+2 3+-+ x 3+-+ +--R +-------------+ +--------------------+ \|- 1 \|b - tanh(-)\|a +--R |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 2 +--R 4\|\|b + \|a \|\|- 1 \|b + \|a atanh(-------------------------) +--R +---------------------+ +--R | 3+---+3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R 3+-+ x 3+-+ +--R +---------------------+ +--------------------+ \|b - tanh(-)\|a +--R | 3+---+3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 2 +--R 4\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atanh(------------------) +--R +-------------+ +--R |3+-+2 3+-+2 +--R \|\|b + \|a +--R + +--R 3+---+3+-+ x 3+-+ +--R +---------------------+ +-------------+ \|- 1 \|b + tanh(-)\|a +--R | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 2 +--R - 4\|- \|- 1 \|b + \|a \|\|b + \|a atanh(------------------------) +--R +--------------------+ +--R |3+---+2 3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +---------------------+ +-------------+ +--------------------+ +--R 3+-+2 | 3+---+3+-+2 3+-+2 |3+-+2 3+-+2 |3+---+2 3+-+2 3+-+2 +--R 6\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 384 + +--S 385 of 510 +d0074:= D(m0074,x) +--R +--R +--R (332) +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cosh(x)sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 9a b \|- 1 - 9a b\|- 1 + 9a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 60a b \|- 1 + 60a b\|- 1 - 60a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 2 3+---+2 +--R (54a b \|- 1 - 54a b\|- 1 + 54a b)cosh(x) - 9a b \|- 1 +--R + +--R 2 3+---+ 2 +--R 9a b\|- 1 - 9a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (9a b \|- 1 - 9a b\|- 1 + 9a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 2 3+---+2 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cosh(x) + 3a b \|- 1 +--R + +--R 2 3+---+ 2 +--R - 3a b\|- 1 + 3a b +--R * +--R x 6 +--R tanh(-) +--R 2 +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (12a b \|- 1 - 12a b \|- 1 + 12a b )sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cosh(x)sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (180a b \|- 1 - 180a b \|- 1 + 180a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 36a b \|- 1 + 36a b \|- 1 - 36a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (240a b \|- 1 - 240a b \|- 1 + 240a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 48a b \|- 1 + 48a b\|- 1 - 48a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (180a b \|- 1 - 180a b \|- 1 + 180a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 216a b \|- 1 + 216a b \|- 1 - 216a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 144a b \|- 1 + 144a b\|- 1 - 144a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 36a b \|- 1 - 36a b \|- 1 + 36a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 144a b \|- 1 + 144a b\|- 1 - 144a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (12a b \|- 1 - 12a b \|- 1 + 12a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 36a b \|- 1 + 36a b \|- 1 - 36a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 48a b \|- 1 + 48a b\|- 1 - 48a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 2 3+---+2 +--R (36a b \|- 1 - 36a b \|- 1 + 36a b )cosh(x) - 12a b \|- 1 +--R + +--R 2 3+---+ 2 +--R 12a b \|- 1 - 12a b +--R * +--R x 5 +--R tanh(-) +--R 2 +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 6 +--R ((- 4b + 5a b)\|- 1 + (4b - 5a b)\|- 1 - 4b + 5a b)sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R ((- 24b + 30a b)\|- 1 + (24b - 30a b)\|- 1 - 24b + 30a b) +--R * +--R 5 +--R cosh(x)sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 60b + 75a b)\|- 1 + (60b - 75a b)\|- 1 - 60b +--R + +--R 2 +--R 75a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (12b - 15a b)\|- 1 + (- 12b + 15a b)\|- 1 + 12b - 15a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 80b + 100a b)\|- 1 + (80b - 100a b)\|- 1 - 80b +--R + +--R 2 +--R 100a b +--R * +--R 3 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (48b - 60a b)\|- 1 + (- 48b + 60a b)\|- 1 + 48b +--R + +--R 2 +--R - 60a b +--R * +--R cosh(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (64a b + 64a )\|- 1 + (- 64a b - 64a )\|- 1 + 64a b +--R + +--R 3 +--R 64a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 60b + 75a b)\|- 1 + (60b - 75a b)\|- 1 - 60b +--R + +--R 2 +--R 75a b +--R * +--R 4 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (72b - 90a b)\|- 1 + (- 72b + 90a b)\|- 1 + 72b +--R + +--R 2 +--R - 90a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (192a b + 192a )\|- 1 + (- 192a b - 192a )\|- 1 +--R + +--R 2 3 +--R 192a b + 192a +--R * +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (- 12b + 15a b)\|- 1 + (12b - 15a b)\|- 1 - 12b + 15a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 24b + 30a b)\|- 1 + (24b - 30a b)\|- 1 - 24b +--R + +--R 2 +--R 30a b +--R * +--R 5 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (48b - 60a b)\|- 1 + (- 48b + 60a b)\|- 1 + 48b +--R + +--R 2 +--R - 60a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (192a b + 192a )\|- 1 + (- 192a b - 192a )\|- 1 +--R + +--R 2 3 +--R 192a b + 192a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 24b + 30a b)\|- 1 + (24b - 30a b)\|- 1 - 24b +--R + +--R 2 +--R 30a b +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 6 +--R ((- 4b + 5a b)\|- 1 + (4b - 5a b)\|- 1 - 4b + 5a b)cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R ((12b - 15a b)\|- 1 + (- 12b + 15a b)\|- 1 + 12b - 15a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (64a b + 64a )\|- 1 + (- 64a b - 64a )\|- 1 + 64a b +--R + +--R 3 +--R 64a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R ((- 12b + 15a b)\|- 1 + (12b - 15a b)\|- 1 - 12b + 15a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (4b - 5a b)\|- 1 + (- 4b + 5a b)\|- 1 + 4b - 5a b +--R * +--R x 4 +--R tanh(-) +--R 2 +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 24a b \|- 1 + 24a b \|- 1 - 24a b )sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cosh(x)sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 360a b \|- 1 + 360a b \|- 1 - 360a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 72a b \|- 1 - 72a b \|- 1 + 72a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 480a b \|- 1 + 480a b \|- 1 - 480a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 96a b \|- 1 + 96a b\|- 1 - 96a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 360a b \|- 1 + 360a b \|- 1 - 360a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (432a b \|- 1 - 432a b \|- 1 + 432a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 288a b \|- 1 + 288a b\|- 1 - 288a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 72a b \|- 1 + 72a b \|- 1 - 72a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b\|- 1 - 288a b)cosh(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3+---+2 2 3+---+ 2