diff --git a/changelog b/changelog index f6e1eb0..160d461 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100615 tpd src/axiom-website/patches.html 20100615.02.tpd.patch +20100615 tpd src/input/Makefile rule-based hyper integration +20100615 tpd src/input/richhyper500-599.input rule-based hyper integration 20100615 tpd src/axiom-website/patches.html 20100615.01.tpd.patch 20100615 tpd src/input/Makefile rule-based hyper integration 20100615 tpd src/input/richhyper400-499.input rule-based hyper integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index e72e233..cb7bd60 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2898,6 +2898,8 @@ src/input/richhyper200-299.input rule-based hyper integration
src/input/richhyper300-399.input rule-based hyper integration
20100615.01.tpd.patch src/input/richhyper400-499.input rule-based hyper integration
+20100615.02.tpd.patch +src/input/richhyper500-599.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 606d076..80f11ad 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -380,6 +380,7 @@ REGRES= ackermann.regress \ richhyper200-299.regress \ richhyper300-399.regress \ richhyper400-499.regress \ + richhyper500-599.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -714,6 +715,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper200-299.input \ ${OUT}/richhyper300-399.input \ ${OUT}/richhyper400-499.input \ + ${OUT}/richhyper500-599.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1077,6 +1079,7 @@ DOCFILES= \ ${DOC}/richhyper200-299.input.dvi \ ${DOC}/richhyper300-399.input.dvi \ ${DOC}/richhyper400-499.input.dvi \ + ${DOC}/richhyper500-599.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper500-599.input.pamphlet b/src/input/richhyper500-599.input.pamphlet new file mode 100644 index 0000000..5bd4d58 --- /dev/null +++ b/src/input/richhyper500-599.input.pamphlet @@ -0,0 +1,49086 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper500-599.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper500-599.output +)spool richhyper500-599.output +)set message auto off +)clear all + +--S 1 of 530 +t0500:= tanh(x)/(a+b*sinh(x)) +--R +--R +--R tanh(x) +--R (1) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 1 + +--S 2 of 530 +r0500:= 1/2*(2*b*atan(sinh(x))+a*log(cosh(x)^2)-2*a*log(a+b*sinh(x)))/(a^2+b^2) +--R +--R +--R 2 +--R - 2a log(b sinh(x) + a) + a log(cosh(x) ) + 2b atan(sinh(x)) +--R (2) ------------------------------------------------------------ +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 2 + +--S 3 of 530 +a0500:= integrate(t0500,x) +--R +--R +--R (3) +--R 2cosh(x) - 2b sinh(x) - 2a +--R a log(- -----------------) - a log(-----------------) +--R sinh(x) - cosh(x) sinh(x) - cosh(x) +--R + +--R 2b atan(sinh(x) + cosh(x)) +--R / +--R 2 2 +--R b + a +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 530 +m0500:= a0500-r0500 +--R +--R +--R (4) +--R 2 2cosh(x) +--R 2a log(b sinh(x) + a) - a log(cosh(x) ) + 2a log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2b sinh(x) - 2a +--R - 2a log(-----------------) + 4b atan(sinh(x) + cosh(x)) - 2b atan(sinh(x)) +--R sinh(x) - cosh(x) +--R / +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 4 + +--S 5 of 530 +d0500:= D(m0500,x) +--R +--R +--R (5) +--R 3 2 2 +--R 2b sinh(x) + b cosh(x)sinh(x) + (- 2b cosh(x) + 2b)sinh(x) +--R + +--R 3 +--R - b cosh(x) + b cosh(x) +--R / +--R 2 2 4 2 2 3 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R ((b + a )cosh(x) + 2b + 2a )sinh(x) + (2b + 2a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b + a )cosh(x) + b + a +--R Type: Expression Integer +--E 5 + +--S 6 of 530 +t0501:= tanh(x)^2/(a+b*sinh(x)) +--R +--R +--R 2 +--R tanh(x) +--R (6) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 6 + +--S 7 of 530 +r0501:= -2*a^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)-_ + b*sech(x)/(a^2+b^2)-a*tanh(x)/(a^2+b^2) +--R +--R +--R x +--R a tanh(-) - b +-------+ +--R 2 2 | 2 2 +--R 2a atanh(-------------) + (- a tanh(x) - b sech(x))\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R (7) ------------------------------------------------------------- +--R +-------+ +--R 2 2 | 2 2 +--R (b + a )\|b + a +--R Type: Expression Integer +--E 7 + +--S 8 of 530 +a0501:= integrate(t0501,x) +--R +--R +--R (8) +--R 2 2 2 2 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R | 2 2 +--R (- 2b sinh(x) - 2b cosh(x) + 2a)\|b + a +--R / +--R 2 2 2 2 2 2 2 2 2 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) + (b + a )cosh(x) + b +--R + +--R 2 +--R a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 530 +m0501:= a0501-r0501 +--R +--R +--R (9) +--R 2 2 2 2 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 2 2 2 2 +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a ) +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a)tanh(x) +--R + +--R 2 +--R b sech(x)sinh(x) + (2b cosh(x)sech(x) - 2b)sinh(x) +--R + +--R 2 +--R (b cosh(x) + b)sech(x) - 2b cosh(x) + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 2 2 2 2 2 2 2 2 2 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) + (b + a )cosh(x) + b +--R + +--R 2 +--R a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 9 + +--S 10 of 530 +d0501:= D(m0501,x) +--R +--R +--R (10) +--R 2 6 2 3 5 +--R - a b sinh(x) + (- 6a b cosh(x) - 2a )sinh(x) +--R + +--R 2 2 3 2 4 +--R (- 15a b cosh(x) - 10a cosh(x) - a b)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (- 20a b cosh(x) - 20a cosh(x) - 4a b cosh(x) - 4a )sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R - 15a b cosh(x) - 20a cosh(x) - 6a b cosh(x) - 12a cosh(x) +--R + +--R 2 +--R a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R - 6a b cosh(x) - 10a cosh(x) - 4a b cosh(x) - 12a cosh(x) +--R + +--R 2 3 +--R 2a b cosh(x) - 2a +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R - a b cosh(x) - 2a cosh(x) - a b cosh(x) - 4a cosh(x) +--R + +--R 2 2 3 2 +--R a b cosh(x) - 2a cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 2 5 +--R 2a b sinh(x) + (12a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 4 +--R (30a b cosh(x) + 20a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 3 2 2 2 2 3 +--R (40a b cosh(x) + 40a b cosh(x) + 8a b cosh(x) + 8a b)sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30a b cosh(x) + 40a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 +--R 24a b cosh(x) - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 12a b cosh(x) + 20a b cosh(x) + 8a b cosh(x) +--R + +--R 2 2 2 2 +--R 24a b cosh(x) - 4a b cosh(x) + 4a b +--R * +--R sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R 2a b cosh(x) + 4a b cosh(x) + 2a b cosh(x) + 8a b cosh(x) +--R + +--R 2 2 2 2 +--R - 2a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 6 2 3 5 +--R a b sinh(x) + (6a b cosh(x) + 2a )sinh(x) +--R + +--R 2 2 3 2 4 +--R (15a b cosh(x) + 10a cosh(x) + a b)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (20a b cosh(x) + 20a cosh(x) + 4a b cosh(x) + 4a )sinh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R (15a b cosh(x) + 20a cosh(x) + 6a b cosh(x) + 12a cosh(x) - a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 6a b cosh(x) + 10a cosh(x) + 4a b cosh(x) + 12a cosh(x) +--R + +--R 2 3 +--R - 2a b cosh(x) + 2a +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R a b cosh(x) + 2a cosh(x) + a b cosh(x) + 4a cosh(x) +--R + +--R 2 2 3 2 +--R - a b cosh(x) + 2a cosh(x) - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 2 5 +--R - a b sech(x)sinh(x) + (- 6a b cosh(x) - 2a b)sech(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (- 15a b cosh(x) - 10a b cosh(x) - a b )sech(x)sinh(x) +--R + +--R 2 3 2 2 2 2 +--R (- 20a b cosh(x) - 20a b cosh(x) - 4a b cosh(x) - 4a b) +--R * +--R 3 +--R sech(x)sinh(x) +--R + +--R 2 4 2 3 2 2 +--R - 15a b cosh(x) - 20a b cosh(x) - 6a b cosh(x) +--R + +--R 2 2 +--R - 12a b cosh(x) + a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 2 5 2 4 2 3 +--R - 6a b cosh(x) - 10a b cosh(x) - 4a b cosh(x) +--R + +--R 2 2 2 2 +--R - 12a b cosh(x) + 2a b cosh(x) - 2a b +--R * +--R sech(x)sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - a b cosh(x) - 2a b cosh(x) - a b cosh(x) - 4a b cosh(x) +--R + +--R 2 2 2 2 +--R a b cosh(x) - 2a b cosh(x) + a b +--R * +--R sech(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 6 3 2 5 +--R 2b sech(x)sinh(x) + (12b cosh(x) + 4a b )sech(x)sinh(x) +--R + +--R 3 2 2 3 4 +--R (30b cosh(x) + 20a b cosh(x) + 2b )sech(x)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R (40b cosh(x) + 40a b cosh(x) + 8b cosh(x) + 8a b )sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 30b cosh(x) + 40a b cosh(x) + 12b cosh(x) + 24a b cosh(x) +--R + +--R 3 +--R - 2b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 3 5 2 4 3 3 2 2 +--R 12b cosh(x) + 20a b cosh(x) + 8b cosh(x) + 24a b cosh(x) +--R + +--R 3 2 +--R - 4b cosh(x) + 4a b +--R * +--R sech(x)sinh(x) +--R + +--R 3 6 2 5 3 4 2 3 +--R 2b cosh(x) + 4a b cosh(x) + 2b cosh(x) + 8a b cosh(x) +--R + +--R 3 2 2 3 +--R - 2b cosh(x) + 4a b cosh(x) - 2b +--R * +--R sech(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 6 2 2 5 +--R a b sech(x)sinh(x) + (6a b cosh(x) + 2a b)sech(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (15a b cosh(x) + 10a b cosh(x) + a b )sech(x)sinh(x) +--R + +--R 2 3 2 2 2 2 +--R (20a b cosh(x) + 20a b cosh(x) + 4a b cosh(x) + 4a b)sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 2 +--R 15a b cosh(x) + 20a b cosh(x) + 6a b cosh(x) + 12a b cosh(x) +--R + +--R 2 +--R - a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 6a b cosh(x) + 10a b cosh(x) + 4a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 +--R - 2a b cosh(x) + 2a b +--R * +--R sech(x)sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R a b cosh(x) + 2a b cosh(x) + a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 2 2 +--R - a b cosh(x) + 2a b cosh(x) - a b +--R * +--R sech(x) +--R * +--R tanh(x) +--R + +--R 2 3 5 2 3 4 +--R (2a b + 2a )sinh(x) + (10a b + 10a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((20a b + 20a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 2 3 3 2 3 2 +--R ((20a b + 20a )cosh(x) + (- 12a b - 12a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 2 3 +--R ((10a b + 10a )cosh(x) + (- 12a b - 12a )cosh(x) + 2a b + 2a ) +--R * +--R sinh(x) +--R + +--R 2 3 5 2 3 3 2 3 +--R (2a b + 2a )cosh(x) + (- 4a b - 4a )cosh(x) + (2a b + 2a )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 3 2 5 +--R - 2a b sinh(x) + (- 12a b cosh(x) - 4b - 8a b)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (- 30a b cosh(x) + (- 20b - 40a b)cosh(x) - 2a b )sinh(x) +--R + +--R 2 3 3 2 2 2 3 +--R (- 40a b cosh(x) + (- 40b - 80a b)cosh(x) - 8a b cosh(x) + 8b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 2 3 2 2 +--R - 30a b cosh(x) + (- 40b - 80a b)cosh(x) - 12a b cosh(x) +--R + +--R 3 2 +--R 24b cosh(x) + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 4 2 3 +--R - 12a b cosh(x) + (- 20b - 40a b)cosh(x) - 8a b cosh(x) +--R + +--R 3 2 2 3 2 +--R 24b cosh(x) + 4a b cosh(x) - 4b - 8a b +--R * +--R sinh(x) +--R + +--R 2 6 3 2 5 2 4 +--R - 2a b cosh(x) + (- 4b - 8a b)cosh(x) - 2a b cosh(x) +--R + +--R 3 3 2 2 3 2 2 +--R 8b cosh(x) + 2a b cosh(x) + (- 4b - 8a b)cosh(x) + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 3 5 2 3 4 +--R (- 2a b - 2a )sinh(x) + (- 10a b - 10a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((- 20a b - 20a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 2 3 3 2 3 2 +--R ((- 20a b - 20a )cosh(x) + (12a b + 12a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 2 3 +--R ((- 10a b - 10a )cosh(x) + (12a b + 12a )cosh(x) - 2a b - 2a ) +--R * +--R sinh(x) +--R + +--R 2 3 5 2 3 3 2 3 +--R (- 2a b - 2a )cosh(x) + (4a b + 4a )cosh(x) + (- 2a b - 2a )cosh(x) +--R / +--R 3 3 6 3 3 2 2 4 5 +--R (a b + a b)sinh(x) + ((6a b + 6a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R ((15a b + 15a b)cosh(x) + (10a b + 10a )cosh(x) + a b + a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (20a b + 20a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (4a b + 4a b)cosh(x) + 4a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (15a b + 15a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (6a b + 6a b)cosh(x) + (12a b + 12a )cosh(x) - a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (4a b + 4a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (- 2a b - 2a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 3 3 4 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (a b + a b)cosh(x) +--R + +--R 2 2 4 3 3 3 2 2 2 4 +--R (4a b + 4a )cosh(x) + (- a b - a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 3 3 +--R - a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 2 2 6 +--R (- 2b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 5 +--R ((- 12b - 12a b )cosh(x) - 4a b - 4a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 30b - 30a b )cosh(x) + (- 20a b - 20a b)cosh(x) - 2b +--R + +--R 2 2 +--R - 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 40b - 40a b )cosh(x) + (- 40a b - 40a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (- 8b - 8a b )cosh(x) - 8a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 30b - 30a b )cosh(x) + (- 40a b - 40a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 12b - 12a b )cosh(x) + (- 24a b - 24a b)cosh(x) + 2b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (- 12b - 12a b )cosh(x) + (- 20a b - 20a b)cosh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 8b - 8a b )cosh(x) + (- 24a b - 24a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (4b + 4a b )cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 2b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 2b - 2a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (2b + 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2b + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 3 6 3 3 2 2 4 5 +--R (- a b - a b)sinh(x) + ((- 6a b - 6a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R ((- 15a b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) - a b - a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 20a b - 20a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (- 4a b - 4a b)cosh(x) - 4a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 15a b - 15a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 6a b - 6a b)cosh(x) + (- 12a b - 12a )cosh(x) + a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 4a b - 4a b)cosh(x) + (- 12a b - 12a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (2a b + 2a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 3 3 4 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) + (- a b - a b)cosh(x) +--R + +--R 2 2 4 3 3 3 2 2 2 4 +--R (- 4a b - 4a )cosh(x) + (a b + a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 3 +--R a b + a b +--R Type: Expression Integer +--E 10 + +--S 11 of 530 +t0502:= tanh(x)^3/(a+b*sinh(x)) +--R +--R +--R 3 +--R tanh(x) +--R (11) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 11 + +--S 12 of 530 +r0502:= 1/2*(3*b*atan(sinh(x))*a^2*cosh(x)^2+b^3*atan(sinh(x))*cosh(x)^2+_ + a^3*log(cosh(x)^2)*cosh(x)^2-2*a^3*log(a+b*sinh(x))*cosh(x)^2+_ + a^3+b^2*a-a^2*b*sinh(x)-b^3*sinh(x))/cosh(x)^2/(a^2+b^2)^2 +--R +--R +--R (12) +--R 3 2 3 2 2 +--R - 2a cosh(x) log(b sinh(x) + a) + a cosh(x) log(cosh(x) ) +--R + +--R 3 2 2 3 2 2 3 +--R (b + 3a b)cosh(x) atan(sinh(x)) + (- b - a b)sinh(x) + a b + a +--R / +--R 4 2 2 4 2 +--R (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 12 + +--S 13 of 530 +a0502:= integrate(t0502,x) +--R +--R +--R (13) +--R 3 4 3 3 3 2 3 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) + 2a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (4a cosh(x) + 4a cosh(x))sinh(x) + a cosh(x) + 2a cosh(x) + a +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 4 3 3 3 2 3 2 +--R - a sinh(x) - 4a cosh(x)sinh(x) + (- 6a cosh(x) - 2a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (- 4a cosh(x) - 4a cosh(x))sinh(x) - a cosh(x) - 2a cosh(x) - a +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 4 3 2 3 +--R (b + 3a b)sinh(x) + (4b + 12a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 +--R ((6b + 18a b)cosh(x) + 2b + 6a b)sinh(x) +--R + +--R 3 2 3 3 2 +--R ((4b + 12a b)cosh(x) + (4b + 12a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R (b + 3a b)cosh(x) + (2b + 6a b)cosh(x) + b + 3a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 3 2 3 3 2 2 3 2 +--R (- b - a b)sinh(x) + ((- 3b - 3a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R ((- 3b - 3a b)cosh(x) + (4a b + 4a )cosh(x) + b + a b)sinh(x) +--R + +--R 3 2 3 2 3 2 3 2 +--R (- b - a b)cosh(x) + (2a b + 2a )cosh(x) + (b + a b)cosh(x) +--R / +--R 4 2 2 4 4 4 2 2 4 3 +--R (b + 2a b + a )sinh(x) + (4b + 8a b + 4a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((6b + 12a b + 6a )cosh(x) + 2b + 4a b + 2a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((4b + 8a b + 4a )cosh(x) + (4b + 8a b + 4a )cosh(x))sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 4 2 2 4 +--R (b + 2a b + a )cosh(x) + (2b + 4a b + 2a )cosh(x) + b + 2a b + a +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 530 +m0502:= a0502-r0502 +--R +--R +--R (14) +--R 3 2 4 3 3 3 +--R 2a cosh(x) sinh(x) + 8a cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (12a cosh(x) + 4a cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (8a cosh(x) + 8a cosh(x) )sinh(x) + 2a cosh(x) + 4a cosh(x) +--R + +--R 3 2 +--R 2a cosh(x) +--R * +--R log(b sinh(x) + a) +--R + +--R 3 2 4 3 3 3 +--R - a cosh(x) sinh(x) - 4a cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (- 6a cosh(x) - 2a cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (- 4a cosh(x) - 4a cosh(x) )sinh(x) - a cosh(x) - 2a cosh(x) +--R + +--R 3 2 +--R - a cosh(x) +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 3 2 4 3 3 3 +--R 2a cosh(x) sinh(x) + 8a cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (12a cosh(x) + 4a cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (8a cosh(x) + 8a cosh(x) )sinh(x) + 2a cosh(x) + 4a cosh(x) +--R + +--R 3 2 +--R 2a cosh(x) +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 4 3 3 3 +--R - 2a cosh(x) sinh(x) - 8a cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (- 12a cosh(x) - 4a cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (- 8a cosh(x) - 8a cosh(x) )sinh(x) - 2a cosh(x) - 4a cosh(x) +--R + +--R 3 2 +--R - 2a cosh(x) +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 2 4 3 2 3 3 +--R (2b + 6a b)cosh(x) sinh(x) + (8b + 24a b)cosh(x) sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R ((12b + 36a b)cosh(x) + (4b + 12a b)cosh(x) )sinh(x) +--R + +--R 3 2 5 3 2 3 +--R ((8b + 24a b)cosh(x) + (8b + 24a b)cosh(x) )sinh(x) +--R + +--R 3 2 6 3 2 4 3 2 2 +--R (2b + 6a b)cosh(x) + (4b + 12a b)cosh(x) + (2b + 6a b)cosh(x) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 3 2 2 4 3 2 3 3 +--R (- b - 3a b)cosh(x) sinh(x) + (- 4b - 12a b)cosh(x) sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R ((- 6b - 18a b)cosh(x) + (- 2b - 6a b)cosh(x) )sinh(x) +--R + +--R 3 2 5 3 2 3 +--R ((- 4b - 12a b)cosh(x) + (- 4b - 12a b)cosh(x) )sinh(x) +--R + +--R 3 2 6 3 2 4 3 2 2 +--R (- b - 3a b)cosh(x) + (- 2b - 6a b)cosh(x) + (- b - 3a b)cosh(x) +--R * +--R atan(sinh(x)) +--R + +--R 3 2 5 3 2 2 3 4 +--R (b + a b)sinh(x) + ((4b + 4a b)cosh(x) - a b - a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 3 +--R ((4b + 4a b)cosh(x) + (- 4a b - 4a )cosh(x) + 2b + 2a b)sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 2b - 2a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 4a b)cosh(x) - 2a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R (- 5b - 5a b)cosh(x) + (4a b + 4a )cosh(x) + (4b + 4a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 4a b - 4a )cosh(x) + b + a b +--R * +--R sinh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R (- 2b - 2a b)cosh(x) + (3a b + 3a )cosh(x) + (2b + 2a b)cosh(x) +--R + +--R 2 3 2 2 3 +--R (- 2a b - 2a )cosh(x) - a b - a +--R / +--R 4 2 2 4 2 4 +--R (2b + 4a b + 2a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 3 3 +--R (8b + 16a b + 8a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 2 +--R ((12b + 24a b + 12a )cosh(x) + (4b + 8a b + 4a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R ((8b + 16a b + 8a )cosh(x) + (8b + 16a b + 8a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (2b + 4a b + 2a )cosh(x) + (4b + 8a b + 4a )cosh(x) +--R + +--R 4 2 2 4 2 +--R (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 14 + +--S 15 of 530 +d0502:= D(m0502,x) +--R +--R +--R (15) +--R 3 2 10 3 2 2 3 9 +--R (- 2b - 2a b)sinh(x) + ((- 12b - 12a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 8 +--R ((- 29b - 29a b)cosh(x) + (12a b + 12a )cosh(x) - 8b - 8a b)sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 30b - 26a b)cosh(x) + (30a b + 30a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 36b - 36a b)cosh(x) + 8a b + 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (4b + 22a b)cosh(x) + (32a b + 32a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 62b - 62a b)cosh(x) + (36a b + 36a )cosh(x) - 12b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 5 2 3 4 +--R (42b + 70a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 50b - 38a b)cosh(x) + (66a b + 66a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 36b - 36a b)cosh(x) + 12a b + 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 6 2 3 5 +--R (38b + 48a b)cosh(x) + (- 36a b - 36a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 10b + 28a b)cosh(x) + (64a b + 64a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 36b - 36a b)cosh(x) + (36a b + 36a )cosh(x) - 8b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 7 2 3 6 +--R (6b - 14a b)cosh(x) + (- 30a b - 30a )cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (24b + 64a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 10b + 2a b)cosh(x) + (42a b + 42a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 12b - 12a b)cosh(x) + 8a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 8 2 3 7 +--R (- 10b - 36a b)cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 6 2 3 5 +--R (30b + 42a b)cosh(x) + (- 28a b - 28a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 8b + 14a b)cosh(x) + (32a b + 32a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 2b - 2a b)cosh(x) + (12a b + 12a )cosh(x) - 2b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 9 3 2 7 +--R (- 6b - 18a b)cosh(x) + (14b + 10a b)cosh(x) +--R + +--R 2 3 6 3 2 5 +--R (- 30a b - 30a )cosh(x) + (- 18b - 6a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (22a b + 22a )cosh(x) + (10b + 14a b)cosh(x) +--R + +--R 2 3 2 2 3 +--R (6a b + 6a )cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 10 3 8 2 3 7 +--R (- b - 3a b)cosh(x) + 2b cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R (- 8b - 6a b)cosh(x) + (8a b + 8a )cosh(x) + (6b + 8a b)cosh(x) +--R + +--R 3 2 2 +--R (b + a b)cosh(x) +--R / +--R 4 2 2 4 3 8 +--R (2b + 4a b + 2a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 4 7 +--R (12b + 24a b + 12a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 6 +--R ((30b + 60a b + 30a )cosh(x) + (8b + 16a b + 8a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 5 +--R ((40b + 80a b + 40a )cosh(x) + (36b + 72a b + 36a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 7 4 2 2 4 5 +--R (30b + 60a b + 30a )cosh(x) + (66b + 132a b + 66a )cosh(x) +--R + +--R 4 2 2 4 3 +--R (12b + 24a b + 12a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 8 4 2 2 4 6 +--R (12b + 24a b + 12a )cosh(x) + (64b + 128a b + 64a )cosh(x) +--R + +--R 4 2 2 4 4 +--R (36b + 72a b + 36a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 9 4 2 2 4 7 +--R (2b + 4a b + 2a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (42b + 84a b + 42a )cosh(x) + (8b + 16a b + 8a )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 8 4 2 2 4 6 +--R (12b + 24a b + 12a )cosh(x) + (24b + 48a b + 24a )cosh(x) +--R + +--R 4 2 2 4 4 +--R (12b + 24a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 9 4 2 2 4 7 +--R (2b + 4a b + 2a )cosh(x) + (6b + 12a b + 6a )cosh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (6b + 12a b + 6a )cosh(x) + (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 15 + +--S 16 of 530 +t0503:= tanh(x)^4/(a+b*sinh(x)) +--R +--R +--R 4 +--R tanh(x) +--R (16) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 16 + +--S 17 of 530 +r0503:= -2*a^4*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)-_ + b*(2*a^2+b^2)*sech(x)/(a^2+b^2)^2+b*sech(x)^3/(3*a^2+3*b^2)+_ + a*tanh(x)/(a^2+b^2)-a*(2*a^2+b^2)*tanh(x)/(a^2+b^2)^2-_ + a*tanh(x)^3/(3*a^2+3*b^2) +--R +--R +--R (17) +--R x +--R a tanh(-) - b +--R 4 2 +--R 6a atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 3 3 3 2 3 +--R (- a b - a )tanh(x) - 3a tanh(x) + (b + a b)sech(x) +--R + +--R 3 2 +--R (- 3b - 6a b)sech(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 4 2 2 4 | 2 2 +--R (3b + 6a b + 3a )\|b + a +--R Type: Expression Integer +--E 17 + +--S 18 of 530 +a0503:= integrate(t0503,x) +--R +--R +--R (18) +--R 4 6 4 5 4 2 4 4 +--R 3a sinh(x) + 18a cosh(x)sinh(x) + (45a cosh(x) + 9a )sinh(x) +--R + +--R 4 3 4 3 +--R (60a cosh(x) + 36a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45a cosh(x) + 54a cosh(x) + 9a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18a cosh(x) + 36a cosh(x) + 18a cosh(x))sinh(x) + 3a cosh(x) +--R + +--R 4 4 4 2 4 +--R 9a cosh(x) + 9a cosh(x) + 3a +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 5 +--R (- 6b - 12a b)sinh(x) +--R + +--R 3 2 2 3 4 +--R ((- 30b - 60a b)cosh(x) + 6a b + 12a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R ((- 60b - 120a b)cosh(x) + (24a b + 48a )cosh(x) - 4b - 16a b) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 60b - 120a b)cosh(x) + (36a b + 72a )cosh(x) +--R + +--R 3 2 3 +--R (- 12b - 48a b)cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 30b - 60a b)cosh(x) + (24a b + 48a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 12b - 48a b)cosh(x) + 24a cosh(x) - 6b - 12a b +--R * +--R sinh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 6b - 12a b)cosh(x) + (6a b + 12a )cosh(x) +--R + +--R 3 2 3 3 2 3 2 +--R (- 4b - 16a b)cosh(x) + 12a cosh(x) + (- 6b - 12a b)cosh(x) +--R + +--R 2 3 +--R 2a b + 8a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 2 2 4 6 4 2 2 4 5 +--R (3b + 6a b + 3a )sinh(x) + (18b + 36a b + 18a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 4 +--R ((45b + 90a b + 45a )cosh(x) + 9b + 18a b + 9a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((60b + 120a b + 60a )cosh(x) + (36b + 72a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (45b + 90a b + 45a )cosh(x) + (54b + 108a b + 54a )cosh(x) +--R + +--R 4 2 2 4 +--R 9b + 18a b + 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (18b + 36a b + 18a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 +--R (18b + 36a b + 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (3b + 6a b + 3a )cosh(x) + (9b + 18a b + 9a )cosh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 +--R (9b + 18a b + 9a )cosh(x) + 3b + 6a b + 3a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 530 +m0503:= a0503-r0503 +--R +--R +--R (19) +--R 4 6 4 5 4 2 4 4 +--R 3a sinh(x) + 18a cosh(x)sinh(x) + (45a cosh(x) + 9a )sinh(x) +--R + +--R 4 3 4 3 +--R (60a cosh(x) + 36a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45a cosh(x) + 54a cosh(x) + 9a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18a cosh(x) + 36a cosh(x) + 18a cosh(x))sinh(x) + 3a cosh(x) +--R + +--R 4 4 4 2 4 +--R 9a cosh(x) + 9a cosh(x) + 3a +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 6 4 5 4 2 4 4 +--R - 6a sinh(x) - 36a cosh(x)sinh(x) + (- 90a cosh(x) - 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (- 120a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (- 90a cosh(x) - 108a cosh(x) - 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (- 36a cosh(x) - 72a cosh(x) - 36a cosh(x))sinh(x) - 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18a cosh(x) - 18a cosh(x) - 6a +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 6 2 3 5 +--R (a b + a )sinh(x) + (6a b + 6a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 4 +--R ((15a b + 15a )cosh(x) + 3a b + 3a )sinh(x) +--R + +--R 2 3 3 2 3 3 +--R ((20a b + 20a )cosh(x) + (12a b + 12a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 2 +--R (15a b + 15a )cosh(x) + (18a b + 18a )cosh(x) + 3a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 5 2 3 3 +--R (6a b + 6a )cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 2 3 +--R (6a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 6 2 3 4 +--R (a b + a )cosh(x) + (3a b + 3a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (3a b + 3a )cosh(x) + a b + a +--R * +--R 3 +--R tanh(x) +--R + +--R 3 6 3 5 3 2 3 4 +--R 3a sinh(x) + 18a cosh(x)sinh(x) + (45a cosh(x) + 9a )sinh(x) +--R + +--R 3 3 3 3 +--R (60a cosh(x) + 36a cosh(x))sinh(x) +--R + +--R 3 4 3 2 3 2 +--R (45a cosh(x) + 54a cosh(x) + 9a )sinh(x) +--R + +--R 3 5 3 3 3 3 6 +--R (18a cosh(x) + 36a cosh(x) + 18a cosh(x))sinh(x) + 3a cosh(x) +--R + +--R 3 4 3 2 3 +--R 9a cosh(x) + 9a cosh(x) + 3a +--R * +--R tanh(x) +--R + +--R 3 2 3 3 2 6 +--R ((- b - a b)sech(x) + (3b + 6a b)sech(x))sinh(x) +--R + +--R 3 2 3 3 2 +--R (- 6b - 6a b)cosh(x)sech(x) + (18b + 36a b)cosh(x)sech(x) +--R + +--R 3 2 +--R - 6b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 2 3 +--R ((- 15b - 15a b)cosh(x) - 3b - 3a b)sech(x) +--R + +--R 3 2 2 3 2 +--R ((45b + 90a b)cosh(x) + 9b + 18a b)sech(x) +--R + +--R 3 2 2 3 +--R (- 30b - 60a b)cosh(x) + 6a b + 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 20b - 20a b)cosh(x) + (- 12b - 12a b)cosh(x))sech(x) +--R + +--R 3 2 3 3 2 +--R ((60b + 120a b)cosh(x) + (36b + 72a b)cosh(x))sech(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 60b - 120a b)cosh(x) + (24a b + 48a )cosh(x) - 4b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 15b - 15a b)cosh(x) + (- 18b - 18a b)cosh(x) - 3b +--R + +--R 2 +--R - 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 3 2 4 3 2 2 3 +--R (45b + 90a b)cosh(x) + (54b + 108a b)cosh(x) + 9b +--R + +--R 2 +--R 18a b +--R * +--R sech(x) +--R + +--R 3 2 3 2 3 2 +--R (- 60b - 120a b)cosh(x) + (36a b + 72a )cosh(x) +--R + +--R 3 2 3 +--R (- 12b - 48a b)cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 6b - 6a b)cosh(x) + (- 12b - 12a b)cosh(x) +--R + +--R 3 2 +--R (- 6b - 6a b)cosh(x) +--R * +--R 3 +--R sech(x) +--R + +--R 3 2 5 3 2 3 +--R (18b + 36a b)cosh(x) + (36b + 72a b)cosh(x) +--R + +--R 3 2 +--R (18b + 36a b)cosh(x) +--R * +--R sech(x) +--R + +--R 3 2 4 2 3 3 +--R (- 30b - 60a b)cosh(x) + (24a b + 48a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 12b - 48a b)cosh(x) + 24a cosh(x) - 6b - 12a b +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- b - a b)cosh(x) + (- 3b - 3a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 3b - 3a b)cosh(x) - b - a b +--R * +--R 3 +--R sech(x) +--R + +--R 3 2 6 3 2 4 +--R (3b + 6a b)cosh(x) + (9b + 18a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (9b + 18a b)cosh(x) + 3b + 6a b +--R * +--R sech(x) +--R + +--R 3 2 5 2 3 4 +--R (- 6b - 12a b)cosh(x) + (6a b + 12a )cosh(x) +--R + +--R 3 2 3 3 2 3 2 +--R (- 4b - 16a b)cosh(x) + 12a cosh(x) + (- 6b - 12a b)cosh(x) +--R + +--R 2 3 +--R 2a b + 8a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 2 2 4 6 4 2 2 4 5 +--R (3b + 6a b + 3a )sinh(x) + (18b + 36a b + 18a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 4 +--R ((45b + 90a b + 45a )cosh(x) + 9b + 18a b + 9a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((60b + 120a b + 60a )cosh(x) + (36b + 72a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (45b + 90a b + 45a )cosh(x) + (54b + 108a b + 54a )cosh(x) +--R + +--R 4 2 2 4 +--R 9b + 18a b + 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (18b + 36a b + 18a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 +--R (18b + 36a b + 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (3b + 6a b + 3a )cosh(x) + (9b + 18a b + 9a )cosh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 +--R (9b + 18a b + 9a )cosh(x) + 3b + 6a b + 3a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 19 + +--S 20 of 530 +--d0503:= D(m0503,x) +--E 20 + +--S 21 of 530 +t0504:= tanh(x)/(%i+sinh(x)) +--R +--R +--R tanh(x) +--R (20) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 21 + +--S 22 of 530 +r0504:= 1/2*atan(sinh(x))-1/(2*%i+2*sinh(x)) +--R +--R +--R (sinh(x) + %i)atan(sinh(x)) - 1 +--R (21) ------------------------------- +--R 2sinh(x) + 2%i +--R Type: Expression Complex Integer +--E 22 + +--S 23 of 530 +a0504:= integrate(t0504,x) +--R +--R +--R (22) +--R 2 2 +--R (%i sinh(x) + (2%i cosh(x) - 2)sinh(x) + %i cosh(x) - 2cosh(x) - %i) +--R * +--R sinh(x) + cosh(x) + %i +--R log(----------------------) +--R sinh(x) + cosh(x) - %i +--R + +--R - 2sinh(x) - 2cosh(x) +--R / +--R 2 2 +--R 2sinh(x) + (4cosh(x) + 4%i)sinh(x) + 2cosh(x) + 4%i cosh(x) - 2 +--R Type: Union(Expression Complex Integer,...) +--E 23 + +--S 24 of 530 +m0504:= a0504-r0504 +--R +--R +--R (23) +--R 3 2 +--R %i sinh(x) + (2%i cosh(x) - 3)sinh(x) +--R + +--R 2 2 +--R (%i cosh(x) - 4cosh(x) - 3%i)sinh(x) - cosh(x) - 2%i cosh(x) + 1 +--R * +--R sinh(x) + cosh(x) + %i +--R log(----------------------) +--R sinh(x) + cosh(x) - %i +--R + +--R 3 2 +--R - sinh(x) + (- 2cosh(x) - 3%i)sinh(x) +--R + +--R 2 2 +--R (- cosh(x) - 4%i cosh(x) + 3)sinh(x) - %i cosh(x) + 2cosh(x) + %i +--R * +--R atan(sinh(x)) +--R + +--R 2 2 +--R - sinh(x) + cosh(x) - 1 +--R / +--R 3 2 +--R 2sinh(x) + (4cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (2cosh(x) + 8%i cosh(x) - 6)sinh(x) + 2%i cosh(x) - 4cosh(x) - 2%i +--R Type: Expression Complex Integer +--E 24 + +--S 25 of 530 +d0504:= D(m0504,x) +--R +--R +--R (24) +--R 6 5 2 4 +--R 2sinh(x) + (5cosh(x) + 2%i)sinh(x) + (2cosh(x) + 4%i cosh(x))sinh(x) +--R + +--R 3 3 +--R (- 4cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 3 2 2 +--R (- 4cosh(x) - 4%i cosh(x) + 6cosh(x) + 2%i cosh(x) - 2)sinh(x) +--R + +--R 5 4 3 2 +--R (- cosh(x) - 2%i cosh(x) + 2cosh(x) + 4%i cosh(x) - cosh(x) - 2%i) +--R * +--R sinh(x) +--R + +--R 3 +--R 2%i cosh(x) - 2%i cosh(x) +--R / +--R 7 6 +--R sinh(x) + (4cosh(x) + 3%i)sinh(x) +--R + +--R 2 5 +--R (6cosh(x) + 10%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) + 12%i cosh(x) - 2cosh(x) + 5%i)sinh(x) +--R + +--R 4 3 3 +--R (cosh(x) + 6%i cosh(x) + 12%i cosh(x) - 5)sinh(x) +--R + +--R 4 3 2 2 +--R (%i cosh(x) + 2cosh(x) + 12%i cosh(x) - 8cosh(x) + %i)sinh(x) +--R + +--R 4 3 2 +--R (cosh(x) + 6%i cosh(x) - 6cosh(x) + 2%i cosh(x) - 3)sinh(x) +--R + +--R 4 3 +--R %i cosh(x) - 2cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Integer +--E 25 + +--S 26 of 530 +t0505:= tanh(x)^3/(%i+sinh(x)) +--R +--R +--R 3 +--R tanh(x) +--R (25) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 26 + +--S 27 of 530 +r0505:= 3/8*atan(sinh(x))+1/(8*%i-8*sinh(x))+1/8*%i/(%i+sinh(x))^2-_ + 1/(2*%i+2*sinh(x)) +--R +--R +--R (26) +--R 3 2 2 +--R (3sinh(x) + 3%i sinh(x) + 3sinh(x) + 3%i)atan(sinh(x)) - 5sinh(x) +--R + +--R - %i sinh(x) - 2 +--R / +--R 3 2 +--R 8sinh(x) + 8%i sinh(x) + 8sinh(x) + 8%i +--R Type: Expression Complex Integer +--E 27 + +--S 28 of 530 +a0505:= integrate(t0505,x) +--R +--R +--R (27) +--R 6 5 +--R 3%i sinh(x) + (18%i cosh(x) - 6)sinh(x) +--R + +--R 2 4 +--R (45%i cosh(x) - 30cosh(x) + 3%i)sinh(x) +--R + +--R 3 2 3 +--R (60%i cosh(x) - 60cosh(x) + 12%i cosh(x) - 12)sinh(x) +--R + +--R 4 3 2 +--R (45%i cosh(x) - 60cosh(x) + 18%i cosh(x) - 36cosh(x) - 3%i) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 18%i cosh(x) - 30cosh(x) + 12%i cosh(x) - 36cosh(x) +--R + +--R - 6%i cosh(x) - 6 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 3%i cosh(x) - 6cosh(x) + 3%i cosh(x) - 12cosh(x) - 3%i cosh(x) +--R + +--R - 6cosh(x) - 3%i +--R * +--R sinh(x) + cosh(x) + %i +--R log(----------------------) +--R sinh(x) + cosh(x) - %i +--R + +--R 5 4 +--R - 10sinh(x) + (- 50cosh(x) - 4%i)sinh(x) +--R + +--R 2 3 +--R (- 100cosh(x) - 16%i cosh(x) + 4)sinh(x) +--R + +--R 3 2 2 +--R (- 100cosh(x) - 24%i cosh(x) + 12cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 +--R (- 50cosh(x) - 16%i cosh(x) + 12cosh(x) + 8%i cosh(x) - 10)sinh(x) +--R + +--R 5 4 3 2 +--R - 10cosh(x) - 4%i cosh(x) + 4cosh(x) + 4%i cosh(x) - 10cosh(x) +--R / +--R 6 5 +--R 8sinh(x) + (48cosh(x) + 16%i)sinh(x) +--R + +--R 2 4 +--R (120cosh(x) + 80%i cosh(x) + 8)sinh(x) +--R + +--R 3 2 3 +--R (160cosh(x) + 160%i cosh(x) + 32cosh(x) + 32%i)sinh(x) +--R + +--R 4 3 2 2 +--R (120cosh(x) + 160%i cosh(x) + 48cosh(x) + 96%i cosh(x) - 8)sinh(x) +--R + +--R 5 4 3 2 +--R 48cosh(x) + 80%i cosh(x) + 32cosh(x) + 96%i cosh(x) - 16cosh(x) +--R + +--R 16%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8cosh(x) + 16%i cosh(x) + 8cosh(x) + 32%i cosh(x) - 8cosh(x) +--R + +--R 16%i cosh(x) - 8 +--R Type: Union(Expression Complex Integer,...) +--E 28 + +--S 29 of 530 +m0505:= a0505-r0505 +--R +--R +--R (28) +--R 9 8 +--R 3%i sinh(x) + (18%i cosh(x) - 9)sinh(x) +--R + +--R 2 7 +--R (45%i cosh(x) - 48cosh(x))sinh(x) +--R + +--R 3 2 6 +--R (60%i cosh(x) - 105cosh(x) - 24)sinh(x) +--R + +--R 4 3 2 +--R (45%i cosh(x) - 120cosh(x) + 3%i cosh(x) - 96cosh(x) - 18%i) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 18%i cosh(x) - 75cosh(x) + 12%i cosh(x) - 159cosh(x) +--R + +--R - 60%i cosh(x) - 18 +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 3%i cosh(x) - 24cosh(x) + 18%i cosh(x) - 144cosh(x) +--R + +--R 2 +--R - 81%i cosh(x) - 48cosh(x) - 24%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 3cosh(x) + 12%i cosh(x) - 78cosh(x) - 60%i cosh(x) +--R + +--R 2 +--R - 51cosh(x) - 48%i cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 3%i cosh(x) - 24cosh(x) - 27%i cosh(x) - 24cosh(x) +--R + +--R 2 +--R - 39%i cosh(x) - 9%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 3cosh(x) - 6%i cosh(x) - 3cosh(x) - 12%i cosh(x) + 3cosh(x) +--R + +--R - 6%i cosh(x) + 3 +--R * +--R sinh(x) + cosh(x) + %i +--R log(----------------------) +--R sinh(x) + cosh(x) - %i +--R + +--R 9 8 +--R - 3sinh(x) + (- 18cosh(x) - 9%i)sinh(x) +--R + +--R 2 7 +--R (- 45cosh(x) - 48%i cosh(x))sinh(x) +--R + +--R 3 2 6 +--R (- 60cosh(x) - 105%i cosh(x) - 24%i)sinh(x) +--R + +--R 4 3 2 +--R (- 45cosh(x) - 120%i cosh(x) - 3cosh(x) - 96%i cosh(x) + 18) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 18cosh(x) - 75%i cosh(x) - 12cosh(x) - 159%i cosh(x) +--R + +--R 60cosh(x) - 18%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 3cosh(x) - 24%i cosh(x) - 18cosh(x) - 144%i cosh(x) +--R + +--R 2 +--R 81cosh(x) - 48%i cosh(x) + 24 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 3%i cosh(x) - 12cosh(x) - 78%i cosh(x) + 60cosh(x) +--R + +--R 2 +--R - 51%i cosh(x) + 48cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 3cosh(x) - 24%i cosh(x) + 27cosh(x) - 24%i cosh(x) +--R + +--R 2 +--R 39cosh(x) + 9 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 3%i cosh(x) + 6cosh(x) - 3%i cosh(x) + 12cosh(x) + 3%i cosh(x) +--R + +--R 6cosh(x) + 3%i +--R * +--R atan(sinh(x)) +--R + +--R 8 7 +--R - 5sinh(x) + (- 20cosh(x) - 3%i)sinh(x) +--R + +--R 2 6 +--R (- 25cosh(x) - 10%i cosh(x) + 3)sinh(x) +--R + +--R 2 5 +--R (- 9%i cosh(x) + 19%i)sinh(x) +--R + +--R 4 3 2 4 +--R (25cosh(x) + 4%i cosh(x) - 24cosh(x) + 38%i cosh(x) - 13)sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) + 11%i cosh(x) - 40cosh(x) - 2%i cosh(x) - 4cosh(x) +--R + +--R 15%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 5cosh(x) + 6%i cosh(x) - 21cosh(x) - 48%i cosh(x) + 27cosh(x) +--R + +--R 42%i cosh(x) - 23 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 4 3 2 +--R %i cosh(x) - 33%i cosh(x) + 24cosh(x) + 39%i cosh(x) - 24cosh(x) +--R + +--R - 7%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 2cosh(x) - 6%i cosh(x) + 6cosh(x) + 12%i cosh(x) - 6cosh(x) +--R + +--R - 6%i cosh(x) - 2 +--R / +--R 9 8 +--R 8sinh(x) + (48cosh(x) + 24%i)sinh(x) +--R + +--R 2 7 +--R (120cosh(x) + 128%i cosh(x))sinh(x) +--R + +--R 3 2 6 +--R (160cosh(x) + 280%i cosh(x) + 64%i)sinh(x) +--R + +--R 4 3 2 5 +--R (120cosh(x) + 320%i cosh(x) + 8cosh(x) + 256%i cosh(x) - 48)sinh(x) +--R + +--R 5 4 3 2 +--R 48cosh(x) + 200%i cosh(x) + 32cosh(x) + 424%i cosh(x) +--R + +--R - 160cosh(x) + 48%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8cosh(x) + 64%i cosh(x) + 48cosh(x) + 384%i cosh(x) - 216cosh(x) +--R + +--R 128%i cosh(x) - 64 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 8%i cosh(x) + 32cosh(x) + 208%i cosh(x) - 160cosh(x) +--R + +--R 2 +--R 136%i cosh(x) - 128cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8cosh(x) + 64%i cosh(x) - 72cosh(x) + 64%i cosh(x) - 104cosh(x) +--R + +--R - 24 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8%i cosh(x) - 16cosh(x) + 8%i cosh(x) - 32cosh(x) - 8%i cosh(x) +--R + +--R - 16cosh(x) - 8%i +--R Type: Expression Complex Integer +--E 29 + +--S 30 of 530 +d0505:= D(m0505,x) +--R +--R +--R (29) +--R 12 11 +--R 2sinh(x) + (13cosh(x) + 2%i)sinh(x) +--R + +--R 2 10 +--R (34cosh(x) + 12%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 9 +--R (42cosh(x) + 28%i cosh(x) - 4cosh(x) - 2%i)sinh(x) +--R + +--R 4 3 2 8 +--R (14cosh(x) + 28%i cosh(x) + 12cosh(x) - 8%i cosh(x) - 4)sinh(x) +--R + +--R 5 3 2 7 +--R (- 28cosh(x) + 50cosh(x) - 6%i cosh(x) - 28cosh(x) - 4%i)sinh(x) +--R + +--R 6 5 4 3 +--R - 42cosh(x) - 28%i cosh(x) + 70cosh(x) + 20%i cosh(x) +--R + +--R 2 +--R - 60cosh(x) - 34%i cosh(x) + 4 +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 26cosh(x) - 28%i cosh(x) + 48cosh(x) + 50%i cosh(x) +--R + +--R 3 2 +--R - 44cosh(x) - 78%i cosh(x) + 6cosh(x) + 4%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 8cosh(x) - 12%i cosh(x) + 16cosh(x) + 48%i cosh(x) + 10cosh(x) +--R + +--R 3 2 +--R - 62%i cosh(x) - 20cosh(x) + 2%i cosh(x) + 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 5 +--R - cosh(x) - 2%i cosh(x) + 2cosh(x) + 22%i cosh(x) + 30cosh(x) +--R + +--R 4 3 2 +--R 4%i cosh(x) - 46cosh(x) - 26%i cosh(x) + 15cosh(x) + 2%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 4%i cosh(x) + 14cosh(x) + 30%i cosh(x) - 30cosh(x) +--R + +--R 3 2 +--R - 48%i cosh(x) + 18cosh(x) + 14%i cosh(x) - 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 2cosh(x) + 14%i cosh(x) - 6cosh(x) - 30%i cosh(x) + 6cosh(x) +--R + +--R 2 +--R 18%i cosh(x) - 2cosh(x) - 2%i +--R * +--R sinh(x) +--R + +--R 7 5 3 +--R 2%i cosh(x) - 6%i cosh(x) + 6%i cosh(x) - 2%i cosh(x) +--R / +--R 13 12 +--R sinh(x) + (8cosh(x) + 3%i)sinh(x) +--R + +--R 2 11 +--R (28cosh(x) + 22%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 10 +--R (56cosh(x) + 70%i cosh(x) + 14cosh(x) + 14%i)sinh(x) +--R + +--R 4 3 2 9 +--R (70cosh(x) + 126%i cosh(x) + 44cosh(x) + 86%i cosh(x) - 5)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 140%i cosh(x) + 82cosh(x) + 230%i cosh(x) - 26cosh(x) +--R + +--R 25%i +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) + 98%i cosh(x) + 100cosh(x) + 352%i cosh(x) +--R + +--R 2 +--R - 56cosh(x) + 124%i cosh(x) - 20 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 8cosh(x) + 42%i cosh(x) + 82cosh(x) + 340%i cosh(x) - 64cosh(x) +--R + +--R 2 +--R 268%i cosh(x) - 84cosh(x) + 20%i +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 10%i cosh(x) + 44cosh(x) + 214%i cosh(x) - 40cosh(x) +--R + +--R 3 2 +--R 332%i cosh(x) - 152cosh(x) + 76%i cosh(x) - 25 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R %i cosh(x) + 14cosh(x) + 86%i cosh(x) - 10cosh(x) +--R + +--R 4 3 2 +--R 260%i cosh(x) - 156cosh(x) + 124%i cosh(x) - 76cosh(x) + 5%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 2cosh(x) + 20%i cosh(x) + 4cosh(x) + 134%i cosh(x) - 100cosh(x) +--R + +--R 3 2 +--R 112%i cosh(x) - 100cosh(x) + 14%i cosh(x) - 14 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 2%i cosh(x) + 4cosh(x) + 46%i cosh(x) - 42cosh(x) + 60%i cosh(x) +--R + +--R 3 2 +--R - 72cosh(x) + 14%i cosh(x) - 26cosh(x) - 2%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 10%i cosh(x) - 12cosh(x) + 18%i cosh(x) - 30cosh(x) +--R + +--R 3 2 +--R 6%i cosh(x) - 20cosh(x) - 2%i cosh(x) - 3 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 +--R %i cosh(x) - 2cosh(x) + 2%i cosh(x) - 6cosh(x) - 6cosh(x) +--R + +--R 2 +--R - 2%i cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Integer +--E 30 + +--S 31 of 530 +t0506:= tanh(x)^4/(%i+sinh(x)) +--R +--R +--R 4 +--R tanh(x) +--R (30) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 31 + +--S 32 of 530 +r0506:= -1/15*(-4*sinh(x)+12*sinh(x)*cosh(x)^2-%i+6*%i*cosh(x)^2+_ + 3*%i*cosh(x)^4)/cosh(x)^3/(%i+sinh(x)) +--R +--R +--R 2 4 2 +--R (- 12cosh(x) + 4)sinh(x) - 3%i cosh(x) - 6%i cosh(x) + %i +--R (31) ------------------------------------------------------------ +--R 3 3 +--R 15cosh(x) sinh(x) + 15%i cosh(x) +--R Type: Expression Complex Integer +--E 32 + +--S 33 of 530 +a0506:= integrate(t0506,x) +--R +--R +--R (32) +--R 4 3 +--R - 30sinh(x) + (- 120cosh(x) - 24%i)sinh(x) +--R + +--R 2 2 +--R (- 180cosh(x) - 108%i cosh(x) + 8)sinh(x) +--R + +--R 3 2 4 +--R (- 120cosh(x) - 72%i cosh(x) - 56cosh(x) - 8%i)sinh(x) - 30cosh(x) +--R + +--R 3 2 +--R - 36%i cosh(x) + 8cosh(x) - 92%i cosh(x) - 26 +--R / +--R 5 4 +--R 15sinh(x) + (75cosh(x) + 30%i)sinh(x) +--R + +--R 2 3 +--R (150cosh(x) + 120%i cosh(x) + 45)sinh(x) +--R + +--R 3 2 2 +--R (150cosh(x) + 180%i cosh(x) + 45cosh(x) + 120%i)sinh(x) +--R + +--R 4 3 2 +--R (75cosh(x) + 120%i cosh(x) + 135cosh(x) + 120%i cosh(x) + 30)sinh(x) +--R + +--R 5 4 3 2 +--R 15cosh(x) + 30%i cosh(x) + 15cosh(x) + 120%i cosh(x) - 30cosh(x) + 90%i +--R Type: Union(Expression Complex Integer,...) +--E 33 + +--S 34 of 530 +m0506:= a0506-r0506 +--R +--R +--R (33) +--R 2 6 +--R (12cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 5 +--R (3%i cosh(x) + 30cosh(x) + 30%i cosh(x) - 20cosh(x) - 9%i)sinh(x) +--R + +--R 5 4 3 2 +--R 15%i cosh(x) - 6cosh(x) + 72%i cosh(x) - 16cosh(x) - 37%i cosh(x) +--R + +--R - 10 +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 30%i cosh(x) - 84cosh(x) - 15%i cosh(x) - 20cosh(x) +--R + +--R 2 +--R 56%i cosh(x) - 4cosh(x) - 35%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 30%i cosh(x) - 96cosh(x) - 87%i cosh(x) + 44cosh(x) +--R + +--R 3 2 +--R 72%i cosh(x) - 48cosh(x) - 35%i cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 15%i cosh(x) - 42cosh(x) - 75%i cosh(x) + 16cosh(x) +--R + +--R 4 3 2 +--R - 5%i cosh(x) - 86cosh(x) + 43%i cosh(x) + 16cosh(x) - 26%i +--R * +--R sinh(x) +--R + +--R 9 8 7 5 4 +--R 3%i cosh(x) - 6cosh(x) - 21%i cosh(x) + 7%i cosh(x) + 28cosh(x) +--R + +--R 3 2 +--R - 39%i cosh(x) - 28cosh(x) + 2%i cosh(x) + 6 +--R / +--R 3 6 4 3 5 +--R 15cosh(x) sinh(x) + (75cosh(x) + 45%i cosh(x) )sinh(x) +--R + +--R 5 4 3 4 +--R (150cosh(x) + 195%i cosh(x) + 15cosh(x) )sinh(x) +--R + +--R 6 5 4 3 3 +--R (150cosh(x) + 330%i cosh(x) - 75cosh(x) + 165%i cosh(x) )sinh(x) +--R + +--R 7 6 5 4 +--R 75cosh(x) + 270%i cosh(x) - 45cosh(x) + 165%i cosh(x) +--R + +--R 3 +--R - 90cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 15cosh(x) + 105%i cosh(x) - 105cosh(x) + 255%i cosh(x) +--R + +--R 4 3 +--R - 150cosh(x) + 120%i cosh(x) +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 15%i cosh(x) - 30cosh(x) + 15%i cosh(x) - 120cosh(x) - 30%i cosh(x) +--R + +--R 3 +--R - 90cosh(x) +--R Type: Expression Complex Integer +--E 34 + +--S 35 of 530 +d0506:= D(m0506,x) +--R +--R +--R (34) +--R 2 13 +--R (- 12cosh(x) + 12)sinh(x) +--R + +--R 4 3 2 12 +--R (3%i cosh(x) - 120cosh(x) - 66%i cosh(x) + 120cosh(x) + 63%i)sinh(x) +--R + +--R 5 4 3 2 +--R 30%i cosh(x) - 525cosh(x) - 612%i cosh(x) + 594cosh(x) +--R + +--R 582%i cosh(x) - 39 +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 132%i cosh(x) - 1308cosh(x) - 2466%i cosh(x) + 2100cosh(x) +--R + +--R 2 +--R 2052%i cosh(x) - 522cosh(x) + 354%i +--R * +--R 10 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 330%i cosh(x) - 1995cosh(x) - 5304%i cosh(x) + 4920cosh(x) +--R + +--R 3 2 +--R 4074%i cosh(x) - 1587cosh(x) + 1824%i cosh(x) - 654 +--R * +--R 9 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 495%i cosh(x) - 1764cosh(x) - 6072%i cosh(x) + 7068cosh(x) +--R + +--R 4 3 2 +--R 3030%i cosh(x) - 1092cosh(x) + 4140%i cosh(x) - 3864cosh(x) + 447%i +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 396%i cosh(x) - 450cosh(x) - 2232%i cosh(x) + 4578cosh(x) +--R + +--R 5 4 3 2 +--R - 2670%i cosh(x) + 5719cosh(x) + 7860%i cosh(x) - 7290cosh(x) +--R + +--R - 198%i cosh(x) - 1875 +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 1080cosh(x) + 3708%i cosh(x) - 3594cosh(x) - 7518%i cosh(x) +--R + +--R 5 4 3 2 +--R 15590cosh(x) + 9580%i cosh(x) - 9000cosh(x) + 258%i cosh(x) +--R + +--R - 5010cosh(x) - 528%i +--R * +--R 6 +--R sinh(x) +--R + +--R 11 10 9 8 +--R - 396%i cosh(x) + 1854cosh(x) + 6816%i cosh(x) - 11142cosh(x) +--R + +--R 7 6 5 4 +--R - 10542%i cosh(x) + 14611cosh(x) + 10556%i cosh(x) - 98cosh(x) +--R + +--R 3 2 +--R 978%i cosh(x) - 6501cosh(x) - 3468%i cosh(x) - 1896 +--R * +--R 5 +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 495%i cosh(x) + 1680cosh(x) + 5646%i cosh(x) - 11202cosh(x) +--R + +--R 8 7 6 5 +--R - 12195%i cosh(x) + 7634cosh(x) + 6228%i cosh(x) + 5360cosh(x) +--R + +--R 4 3 2 +--R 6264%i cosh(x) - 5496cosh(x) - 2508%i cosh(x) - 1116cosh(x) - 1296%i +--R * +--R 4 +--R sinh(x) +--R + +--R 13 12 11 10 +--R - 330%i cosh(x) + 1023cosh(x) + 2748%i cosh(x) - 6012cosh(x) +--R + +--R 9 8 7 6 +--R - 8736%i cosh(x) + 5188cosh(x) + 492%i cosh(x) + 1464cosh(x) +--R + +--R 5 4 3 2 +--R 9654%i cosh(x) - 1235cosh(x) - 1968%i cosh(x) - 1272cosh(x) +--R + +--R - 1956%i cosh(x) - 516 +--R * +--R 3 +--R sinh(x) +--R + +--R 14 13 12 11 +--R - 132%i cosh(x) + 420cosh(x) + 774%i cosh(x) - 1794cosh(x) +--R + +--R 10 9 8 7 +--R - 3078%i cosh(x) + 3404cosh(x) + 842%i cosh(x) + 1278cosh(x) +--R + +--R 6 5 4 3 +--R 926%i cosh(x) - 4420cosh(x) + 1868%i cosh(x) + 120cosh(x) +--R + +--R 2 +--R - 636%i cosh(x) + 672cosh(x) - 612%i +--R * +--R 2 +--R sinh(x) +--R + +--R 15 14 13 12 +--R - 30%i cosh(x) + 105cosh(x) + 120%i cosh(x) - 246cosh(x) +--R + +--R 11 10 9 8 +--R - 372%i cosh(x) + 1164cosh(x) + 484%i cosh(x) - 550cosh(x) +--R + +--R 7 6 5 4 +--R 286%i cosh(x) - 225cosh(x) - 788%i cosh(x) - 488cosh(x) +--R + +--R 3 2 +--R 228%i cosh(x) + 132cosh(x) + 72%i cosh(x) + 108 +--R * +--R sinh(x) +--R + +--R 16 15 14 13 +--R - 3%i cosh(x) + 12cosh(x) + 12%i cosh(x) + 6cosh(x) +--R + +--R 12 11 10 9 +--R - 18%i cosh(x) + 42cosh(x) + 264%i cosh(x) + 10cosh(x) +--R + +--R 8 7 6 5 +--R - 183%i cosh(x) + 18cosh(x) - 240%i cosh(x) - 16cosh(x) +--R + +--R 4 3 2 +--R 60%i cosh(x) - 72cosh(x) + 108%i cosh(x) +--R / +--R 4 12 5 4 11 +--R 15cosh(x) sinh(x) + (150cosh(x) + 90%i cosh(x) )sinh(x) +--R + +--R 6 5 4 10 +--R (675cosh(x) + 840%i cosh(x) - 105cosh(x) )sinh(x) +--R + +--R 7 6 5 4 9 +--R (1800cosh(x) + 3510%i cosh(x) - 1170cosh(x) + 420%i cosh(x) )sinh(x) +--R + +--R 8 7 6 5 +--R 3150cosh(x) + 8640%i cosh(x) - 5055cosh(x) + 1920%i cosh(x) +--R + +--R 4 +--R - 1155cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 3780cosh(x) + 13860%i cosh(x) - 12060cosh(x) + 3900%i cosh(x) +--R + +--R 5 4 +--R - 6630cosh(x) + 30%i cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 3150cosh(x) + 15120%i cosh(x) - 18270cosh(x) + 4620%i cosh(x) +--R + +--R 6 5 4 +--R - 16335cosh(x) - 3420%i cosh(x) - 2895cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 1800cosh(x) + 11340%i cosh(x) - 18720cosh(x) + 2820%i cosh(x) +--R + +--R 7 6 5 4 +--R - 25680cosh(x) - 8610%i cosh(x) - 6870cosh(x) - 2280%i cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 675cosh(x) + 5760%i cosh(x) - 13170cosh(x) - 660%i cosh(x) +--R + +--R 8 7 6 5 +--R - 25035cosh(x) - 16980%i cosh(x) - 11925cosh(x) - 8880%i cosh(x) +--R + +--R 4 +--R - 2280cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 13 12 11 10 +--R 150cosh(x) + 1890%i cosh(x) - 6180cosh(x) - 2700%i cosh(x) +--R + +--R 9 8 7 6 +--R - 15630cosh(x) - 15990%i cosh(x) - 7380cosh(x) - 13380%i cosh(x) +--R + +--R 5 4 +--R 720cosh(x) - 3420%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 13 12 11 +--R 15cosh(x) + 360%i cosh(x) - 1785cosh(x) - 1980%i cosh(x) +--R + +--R 10 9 8 7 +--R - 5025cosh(x) - 10980%i cosh(x) - 2985cosh(x) - 12660%i cosh(x) +--R + +--R 6 5 4 +--R 60cosh(x) - 4020%i cosh(x) + 120cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 14 13 12 11 +--R 30%i cosh(x) - 270cosh(x) - 600%i cosh(x) - 540cosh(x) +--R + +--R 10 9 8 7 +--R - 3270%i cosh(x) + 1770cosh(x) - 5700%i cosh(x) + 4440cosh(x) +--R + +--R 6 5 4 +--R - 4380%i cosh(x) + 2280cosh(x) - 1440%i cosh(x) +--R * +--R sinh(x) +--R + +--R 14 13 12 11 +--R - 15cosh(x) - 60%i cosh(x) + 30cosh(x) - 300%i cosh(x) +--R + +--R 10 9 8 7 +--R 525cosh(x) - 300%i cosh(x) + 1380cosh(x) + 300%i cosh(x) +--R + +--R 6 5 4 +--R 1380cosh(x) + 360%i cosh(x) + 540cosh(x) +--R Type: Expression Complex Integer +--E 35 + +--S 36 of 530 +t0507:= coth(x)/(a+b*sinh(x)) +--R +--R +--R coth(x) +--R (35) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 36 + +--S 37 of 530 +r0507:= -(-log(sinh(x))+log(a+b*sinh(x)))/a +--R +--R +--R - log(b sinh(x) + a) + log(sinh(x)) +--R (36) ----------------------------------- +--R a +--R Type: Expression Integer +--E 37 + +--S 38 of 530 +a0507:= integrate(t0507,x) +--R +--R +--R 2sinh(x) - 2b sinh(x) - 2a +--R log(- -----------------) - log(-----------------) +--R sinh(x) - cosh(x) sinh(x) - cosh(x) +--R (37) ------------------------------------------------- +--R a +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 530 +m0507:= a0507-r0507 +--R +--R +--R (38) +--R 2sinh(x) +--R log(b sinh(x) + a) - log(sinh(x)) + log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2b sinh(x) - 2a +--R - log(-----------------) +--R sinh(x) - cosh(x) +--R / +--R a +--R Type: Expression Integer +--E 39 + +--S 40 of 530 +d0507:= D(m0507,x) +--R +--R +--R (39) 0 +--R Type: Expression Integer +--E 40 + +--S 41 of 530 +t0508:= coth(x)^2/(a+b*sinh(x)) +--R +--R +--R 2 +--R coth(x) +--R (40) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 41 + +--S 42 of 530 +r0508:= b*acoth(cosh(x))/a^2-2*(a^2+b^2)^(1/2)*_ + atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2-coth(x)/a +--R +--R +--R x +--R +-------+ a tanh(-) - b +--R | 2 2 2 +--R 2\|b + a atanh(-------------) + b acoth(cosh(x)) - a coth(x) +--R +-------+ +--R | 2 2 +--R \|b + a +--R (41) -------------------------------------------------------------- +--R 2 +--R a +--R Type: Expression Integer +--E 42 + +--S 43 of 530 +a0508:= integrate(t0508,x) +--R +--R +--R (42) +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b) +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b) +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R - 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 530 +m0508:= a0508-r0508 +--R +--R +--R (43) +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b) +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b) +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|b + a +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b)acoth(cosh(x)) +--R + +--R 2 2 +--R a coth(x)sinh(x) + 2a cosh(x)coth(x)sinh(x) + (a cosh(x) - a)coth(x) - 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a +--R Type: Expression Integer +--E 44 + +--S 45 of 530 +d0508:= D(m0508,x) +--R +--R +--R (44) +--R 2 7 +--R a b sinh(x) +--R + +--R 2 2 2 2 3 2 2 3 +--R (- a b cosh(x) + a b)coth(x) - b cosh(x) + 6a b cosh(x) + b +--R + +--R 2 +--R 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (- 6a b cosh(x) - 2a cosh(x) + 6a b cosh(x) + 2a )coth(x) +--R + +--R 3 3 2 3 2 3 2 +--R - 6b cosh(x) + (13a b + 2a )cosh(x) + (6b + 10a b)cosh(x) +--R + +--R 2 3 +--R - a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R - 15a b cosh(x) - 10a cosh(x) + 18a b cosh(x) +--R + +--R 3 2 +--R 10a cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 2 3 3 3 2 2 +--R - 15b cosh(x) + (10a b + 10a )cosh(x) + (18b + 20a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 2a b - 10a )cosh(x) - 3b - 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 +--R - 20a b cosh(x) - 20a cosh(x) + 32a b cosh(x) +--R + +--R 3 2 2 3 +--R 24a cosh(x) - 12a b cosh(x) - 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 2 3 4 +--R - 20b cosh(x) + (- 5a b + 20a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (32b + 20a b)cosh(x) + (6a b - 16a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 12b - 12a b)cosh(x) - a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 +--R - 15a b cosh(x) - 20a cosh(x) + 33a b cosh(x) +--R + +--R 3 3 2 2 3 2 +--R 32a cosh(x) - 21a b cosh(x) - 12a cosh(x) + 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 2 3 5 +--R - 15b cosh(x) + (- 14a b + 20a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (33b + 10a b)cosh(x) + (20a b - 8a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 21b - 12a b)cosh(x) + (- 6a b - 12a )cosh(x) + 3b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 +--R - 6a b cosh(x) - 10a cosh(x) + 18a b cosh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 22a cosh(x) - 18a b cosh(x) - 14a cosh(x) + 6a b cosh(x) +--R + +--R 3 +--R 2a +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 2 3 6 3 2 5 +--R - 6b cosh(x) + (- 9a b + 10a )cosh(x) + (18b + 2a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (19a b + 2a )cosh(x) + (- 18b - 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 11a b - 10a )cosh(x) + (6b + 2a b)cosh(x) + a b - 2a +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R - a b cosh(x) - 2a cosh(x) + 4a b cosh(x) + 6a cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R - 6a b cosh(x) - 6a cosh(x) + 4a b cosh(x) + 2a cosh(x) - a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 2 3 7 3 6 +--R - b cosh(x) + (- 2a b + 2a )cosh(x) + 4b cosh(x) +--R + +--R 2 3 5 3 4 2 3 3 +--R (6a b + 2a )cosh(x) - 6b cosh(x) + (- 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R 4b cosh(x) + (2a b - 2a )cosh(x) - b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 7 +--R - 2b sinh(x) +--R + +--R 2 2 2 2 2 2 3 +--R (2a b cosh(x) - 2a b )coth(x) - 2a b cosh(x) - 12b cosh(x) +--R + +--R 2 +--R - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 2 2 2 2 2 +--R (12a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) - 4a b)coth(x) +--R + +--R 2 3 3 2 2 2 3 +--R - 12a b cosh(x) + (- 30b - 8a b)cosh(x) - 8a b cosh(x) + 6b +--R + +--R 2 +--R 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 2 +--R - 20a b cosh(x) + 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 2 3 2 2 +--R - 30a b cosh(x) + (- 40b - 40a b)cosh(x) - 4a b cosh(x) +--R + +--R 3 2 2 +--R (24b + 40a b)cosh(x) + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 40a b cosh(x) + 40a b cosh(x) - 64a b cosh(x) +--R + +--R 2 2 2 2 +--R - 48a b cosh(x) + 24a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 5 3 2 4 2 3 +--R - 40a b cosh(x) + (- 30b - 80a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 +--R (36b + 80a b)cosh(x) - 6b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 5 2 4 +--R 30a b cosh(x) + 40a b cosh(x) - 66a b cosh(x) +--R + +--R 2 3 2 2 2 2 +--R - 64a b cosh(x) + 42a b cosh(x) + 24a b cosh(x) - 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 6 3 2 5 2 4 +--R - 30a b cosh(x) + (- 12b - 80a b)cosh(x) + 46a b cosh(x) +--R + +--R 3 2 3 2 2 3 2 +--R (24b + 80a b)cosh(x) - 18a b cosh(x) - 12b cosh(x) + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 6 2 5 +--R 12a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 4 2 3 2 2 +--R - 44a b cosh(x) + 36a b cosh(x) + 28a b cosh(x) +--R + +--R 2 2 +--R - 12a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 7 3 2 6 2 5 +--R - 12a b cosh(x) + (- 2b - 40a b)cosh(x) + 32a b cosh(x) +--R + +--R 3 2 4 2 3 3 2 2 +--R (6b + 40a b)cosh(x) - 28a b cosh(x) + (- 6b - 8a b)cosh(x) +--R + +--R 2 3 2 +--R 8a b cosh(x) + 2b + 8a b +--R * +--R sinh(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R 2a b cosh(x) + 4a b cosh(x) - 8a b cosh(x) - 12a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 +--R 12a b cosh(x) + 12a b cosh(x) - 8a b cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R - 2a b cosh(x) - 8a b cosh(x) + 8a b cosh(x) + 8a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 12a b cosh(x) - 8a b cosh(x) + 8a b cosh(x) + 8a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 7 +--R - a b sinh(x) +--R + +--R 2 2 2 2 3 2 2 3 2 +--R ((a b cosh(x) - a b)coth(x) + b cosh(x) - 6a b cosh(x) - b - 2a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (6a b cosh(x) + 2a cosh(x) - 6a b cosh(x) - 2a )coth(x) +--R + +--R 3 3 2 3 2 3 2 +--R 6b cosh(x) + (- 13a b - 2a )cosh(x) + (- 6b - 10a b)cosh(x) +--R + +--R 2 3 +--R a b + 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R 15a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 10a cosh(x) +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 2 3 3 3 2 2 +--R 15b cosh(x) + (- 10a b - 10a )cosh(x) + (- 18b - 20a b)cosh(x) +--R + +--R 2 3 3 2 +--R (2a b + 10a )cosh(x) + 3b + 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 20a b cosh(x) + 20a cosh(x) - 32a b cosh(x) - 24a cosh(x) +--R + +--R 2 3 +--R 12a b cosh(x) + 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 2 3 4 3 2 3 +--R 20b cosh(x) + (5a b - 20a )cosh(x) + (- 32b - 20a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 6a b + 16a )cosh(x) + (12b + 12a b)cosh(x) + a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R 15a b cosh(x) + 20a cosh(x) - 33a b cosh(x) - 32a cosh(x) +--R + +--R 2 2 3 2 +--R 21a b cosh(x) + 12a cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 2 3 5 3 2 4 +--R 15b cosh(x) + (14a b - 20a )cosh(x) + (- 33b - 10a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (- 20a b + 8a )cosh(x) + (21b + 12a b)cosh(x) +--R + +--R 2 3 3 2 +--R (6a b + 12a )cosh(x) - 3b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 3 4 +--R 6a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 22a cosh(x) +--R + +--R 2 3 3 2 2 3 +--R 18a b cosh(x) + 14a cosh(x) - 6a b cosh(x) - 2a +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 2 3 6 3 2 5 +--R 6b cosh(x) + (9a b - 10a )cosh(x) + (- 18b - 2a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (- 19a b - 2a )cosh(x) + (18b + 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (11a b + 10a )cosh(x) + (- 6b - 2a b)cosh(x) - a b + 2a +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R a b cosh(x) + 2a cosh(x) - 4a b cosh(x) - 6a cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R 6a b cosh(x) + 6a cosh(x) - 4a b cosh(x) - 2a cosh(x) + a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 2 3 7 3 6 +--R b cosh(x) + (2a b - 2a )cosh(x) - 4b cosh(x) +--R + +--R 2 3 5 3 4 2 3 3 +--R (- 6a b - 2a )cosh(x) + 6b cosh(x) + (6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R - 4b cosh(x) + (- 2a b + 2a )cosh(x) + b +--R / +--R 3 2 3 6 +--R (a b cosh(x) - a b)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (6a b cosh(x) + 2a cosh(x) - 6a b cosh(x) - 2a )sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 15a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 10a cosh(x) +--R + +--R 3 +--R 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 20a b cosh(x) + 20a cosh(x) - 32a b cosh(x) - 24a cosh(x) +--R + +--R 3 4 +--R 12a b cosh(x) + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 15a b cosh(x) + 20a cosh(x) - 33a b cosh(x) - 32a cosh(x) +--R + +--R 3 2 4 3 +--R 21a b cosh(x) + 12a cosh(x) - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R 6a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 22a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 18a b cosh(x) + 14a cosh(x) - 6a b cosh(x) - 2a +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R a b cosh(x) + 2a cosh(x) - 4a b cosh(x) - 6a cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R 6a b cosh(x) + 6a cosh(x) - 4a b cosh(x) - 2a cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 2 6 +--R (- 2a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 5 +--R (- 12a b cosh(x) - 4a b cosh(x) + 12a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 30a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 2 2 +--R 20a b cosh(x) - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 40a b cosh(x) - 40a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 48a b cosh(x) - 24a b cosh(x) - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 30a b cosh(x) - 40a b cosh(x) + 66a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 64a b cosh(x) - 42a b cosh(x) - 24a b cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 12a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 2 2 +--R 44a b cosh(x) - 36a b cosh(x) - 28a b cosh(x) + 12a b cosh(x) +--R + +--R 3 +--R 4a b +--R * +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 3 5 +--R - 2a b cosh(x) - 4a b cosh(x) + 8a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 3 +--R - 12a b cosh(x) - 12a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 +--R - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 3 6 +--R (- a b cosh(x) + a b)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (- 6a b cosh(x) - 2a cosh(x) + 6a b cosh(x) + 2a )sinh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R (- 15a b cosh(x) - 10a cosh(x) + 18a b cosh(x) + 10a cosh(x) - 3a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 20a b cosh(x) - 20a cosh(x) + 32a b cosh(x) + 24a cosh(x) +--R + +--R 3 4 +--R - 12a b cosh(x) - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 15a b cosh(x) - 20a cosh(x) + 33a b cosh(x) + 32a cosh(x) +--R + +--R 3 2 4 3 +--R - 21a b cosh(x) - 12a cosh(x) + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 6a b cosh(x) - 10a cosh(x) + 18a b cosh(x) + 22a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 18a b cosh(x) - 14a cosh(x) + 6a b cosh(x) + 2a +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - a b cosh(x) - 2a cosh(x) + 4a b cosh(x) + 6a cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R - 6a b cosh(x) - 6a cosh(x) + 4a b cosh(x) + 2a cosh(x) - a b +--R Type: Expression Integer +--E 45 + +--S 46 of 530 +t0509:= coth(x)^3/(a+b*sinh(x)) +--R +--R +--R 3 +--R coth(x) +--R (45) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 46 + +--S 47 of 530 +r0509:= b*csch(x)/a^2-1/2*csch(x)^2/a+(a^2+b^2)*log(sinh(x))/a^3-_ + (a^2+b^2)*log(a+b*sinh(x))/a^3 +--R +--R +--R (46) +--R 2 2 2 2 2 2 +--R (- 2b - 2a )log(b sinh(x) + a) + (2b + 2a )log(sinh(x)) - a csch(x) +--R + +--R 2a b csch(x) +--R / +--R 3 +--R 2a +--R Type: Expression Integer +--E 47 + +--S 48 of 530 +a0509:= integrate(t0509,x) +--R +--R +--R (47) +--R 2 2 4 2 2 3 +--R (b + a )sinh(x) + (4b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((6b + 6a )cosh(x) - 2b - 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((4b + 4a )cosh(x) + (- 4b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (b + a )cosh(x) + (- 2b - 2a )cosh(x) + b + a +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 2 2 3 +--R (- b - a )sinh(x) + (- 4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b - 6a )cosh(x) + 2b + 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b - 4a )cosh(x) + (4b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- b - a )cosh(x) + (2b + 2a )cosh(x) - b - a +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 2 +--R 2a b sinh(x) + (6a b cosh(x) - 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R (6a b cosh(x) - 4a cosh(x) - 2a b)sinh(x) + 2a b cosh(x) - 2a cosh(x) +--R + +--R - 2a b cosh(x) +--R / +--R 3 4 3 3 3 2 3 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) - 2a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (4a cosh(x) - 4a cosh(x))sinh(x) + a cosh(x) - 2a cosh(x) + a +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 530 +m0509:= a0509-r0509 +--R +--R +--R (48) +--R 2 2 4 2 2 3 +--R (2b + 2a )sinh(x) + (8b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b + 12a )cosh(x) - 4b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b + 8a )cosh(x) + (- 8b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b + 2a )cosh(x) + (- 4b - 4a )cosh(x) + 2b + 2a +--R * +--R log(b sinh(x) + a) +--R + +--R 2 2 4 2 2 3 +--R (- 2b - 2a )sinh(x) + (- 8b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b - 12a )cosh(x) + 4b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b - 8a )cosh(x) + (8b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b - 2a )cosh(x) + (4b + 4a )cosh(x) - 2b - 2a +--R * +--R log(sinh(x)) +--R + +--R 2 2 4 2 2 3 +--R (2b + 2a )sinh(x) + (8b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b + 12a )cosh(x) - 4b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b + 8a )cosh(x) + (- 8b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b + 2a )cosh(x) + (- 4b - 4a )cosh(x) + 2b + 2a +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 2 2 3 +--R (- 2b - 2a )sinh(x) + (- 8b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b - 12a )cosh(x) + 4b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b - 8a )cosh(x) + (8b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b - 2a )cosh(x) + (4b + 4a )cosh(x) - 2b - 2a +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 +--R (a csch(x) - 2a b csch(x))sinh(x) +--R + +--R 2 2 3 +--R (4a cosh(x)csch(x) - 8a b cosh(x)csch(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (6a cosh(x) - 2a )csch(x) + (- 12a b cosh(x) + 4a b)csch(x) +--R + +--R 2 +--R 12a b cosh(x) - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (4a cosh(x) - 4a cosh(x))csch(x) +--R + +--R 3 2 2 +--R (- 8a b cosh(x) + 8a b cosh(x))csch(x) + 12a b cosh(x) - 8a cosh(x) +--R + +--R - 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (a cosh(x) - 2a cosh(x) + a )csch(x) +--R + +--R 4 2 3 +--R (- 2a b cosh(x) + 4a b cosh(x) - 2a b)csch(x) + 4a b cosh(x) +--R + +--R 2 2 +--R - 4a cosh(x) - 4a b cosh(x) +--R / +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) - 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) - 8a cosh(x))sinh(x) + 2a cosh(x) - 4a cosh(x) + 2a +--R Type: Expression Integer +--E 49 + +--S 50 of 530 +d0509:= D(m0509,x) +--R +--R +--R (49) +--R 2 6 +--R (- a coth(x)csch(x) + b coth(x)csch(x))sinh(x) +--R + +--R 2 5 +--R (- 6a cosh(x)coth(x)csch(x) + 6b cosh(x)coth(x)csch(x) - 2b)sinh(x) +--R + +--R 2 2 +--R (- 15a cosh(x) + 3a)coth(x)csch(x) +--R + +--R 2 +--R (15b cosh(x) - 3b)coth(x)csch(x) - 10b cosh(x) + 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 +--R (- 20a cosh(x) + 12a cosh(x))coth(x)csch(x) +--R + +--R 3 2 +--R (20b cosh(x) - 12b cosh(x))coth(x)csch(x) - 20b cosh(x) + 16a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 +--R (- 15a cosh(x) + 18a cosh(x) - 3a)coth(x)csch(x) +--R + +--R 4 2 3 +--R (15b cosh(x) - 18b cosh(x) + 3b)coth(x)csch(x) - 20b cosh(x) +--R + +--R 2 +--R 24a cosh(x) + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 +--R (- 6a cosh(x) + 12a cosh(x) - 6a cosh(x))coth(x)csch(x) +--R + +--R 5 3 +--R (6b cosh(x) - 12b cosh(x) + 6b cosh(x))coth(x)csch(x) +--R + +--R 4 3 +--R - 10b cosh(x) + 16a cosh(x) + 8a cosh(x) + 2b +--R * +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- a cosh(x) + 3a cosh(x) - 3a cosh(x) + a)coth(x)csch(x) +--R + +--R 6 4 2 5 +--R (b cosh(x) - 3b cosh(x) + 3b cosh(x) - b)coth(x)csch(x) - 2b cosh(x) +--R + +--R 4 2 +--R 4a cosh(x) + 4a cosh(x) + 2b cosh(x) +--R / +--R 2 6 2 5 2 2 2 4 +--R a sinh(x) + 6a cosh(x)sinh(x) + (15a cosh(x) - 3a )sinh(x) +--R + +--R 2 3 2 3 +--R (20a cosh(x) - 12a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (15a cosh(x) - 18a cosh(x) + 3a )sinh(x) +--R + +--R 2 5 2 3 2 2 6 +--R (6a cosh(x) - 12a cosh(x) + 6a cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 3a cosh(x) + 3a cosh(x) - a +--R Type: Expression Integer +--E 50 + +--S 51 of 530 +t0510:= coth(x)^4/(a+b*sinh(x)) +--R +--R +--R 4 +--R coth(x) +--R (50) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 51 + +--S 52 of 530 +r0510:= 3/2*b*acoth(cosh(x))/a^2+b^3*acoth(cosh(x))/a^4-_ + 2*(a^2+b^2)^(3/2)*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^4-_ + coth(x)/a-b^2*coth(x)/a^3-1/3*coth(x)^3/a+1/2*b*coth(x)*csch(x)/a^2 +--R +--R +--R (51) +--R x +--R +-------+ a tanh(-) - b +--R 2 2 | 2 2 2 3 2 +--R (12b + 12a )\|b + a atanh(-------------) + (6b + 9a b)acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 3 2 3 +--R 3a b coth(x)csch(x) - 2a coth(x) + (- 6a b - 6a )coth(x) +--R / +--R 4 +--R 6a +--R Type: Expression Integer +--E 52 + +--S 53 of 530 +a0510:= integrate(t0510,x) +--R +--R +--R (52) +--R 3 2 6 3 2 5 +--R (6b + 9a b)sinh(x) + (36b + 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((90b + 135a b)cosh(x) - 18b - 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((120b + 180a b)cosh(x) + (- 72b - 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (90b + 135a b)cosh(x) + (- 108b - 162a b)cosh(x) + 18b +--R + +--R 2 +--R 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (36b + 54a b)cosh(x) + (- 72b - 108a b)cosh(x) +--R + +--R 3 2 +--R (36b + 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (6b + 9a b)cosh(x) + (- 18b - 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (18b + 27a b)cosh(x) - 6b - 9a b +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 6 3 2 5 +--R (- 6b - 9a b)sinh(x) + (- 36b - 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b - 135a b)cosh(x) + 18b + 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b - 180a b)cosh(x) + (72b + 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 90b - 135a b)cosh(x) + (108b + 162a b)cosh(x) - 18b +--R + +--R 2 +--R - 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b - 54a b)cosh(x) + (72b + 108a b)cosh(x) +--R + +--R 3 2 +--R (- 36b - 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b - 9a b)cosh(x) + (18b + 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b - 27a b)cosh(x) + 6b + 9a b +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 6 2 2 5 +--R (6b + 6a )sinh(x) + (36b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((90b + 90a )cosh(x) - 18b - 18a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((120b + 120a )cosh(x) + (- 72b - 72a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R ((90b + 90a )cosh(x) + (- 108b - 108a )cosh(x) + 18b + 18a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (36b + 36a )cosh(x) + (- 72b - 72a )cosh(x) +--R + +--R 2 2 +--R (36b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 2 2 2 +--R (6b + 6a )cosh(x) + (- 18b - 18a )cosh(x) + (18b + 18a )cosh(x) +--R + +--R 2 2 +--R - 6b - 6a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 5 2 2 3 4 +--R 6a b sinh(x) + (30a b cosh(x) - 12a b - 24a )sinh(x) +--R + +--R 2 2 2 3 3 +--R (60a b cosh(x) + (- 48a b - 96a )cosh(x))sinh(x) +--R + +--R 2 3 2 3 2 2 3 2 +--R (60a b cosh(x) + (- 72a b - 144a )cosh(x) + 24a b + 24a )sinh(x) +--R + +--R 2 4 2 3 3 2 3 +--R 30a b cosh(x) + (- 48a b - 96a )cosh(x) + (48a b + 48a )cosh(x) +--R + +--R 2 +--R - 6a b +--R * +--R sinh(x) +--R + +--R 2 5 2 3 4 2 3 2 +--R 6a b cosh(x) + (- 12a b - 24a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 2 2 3 +--R - 6a b cosh(x) - 12a b - 16a +--R / +--R 4 6 4 5 4 2 4 4 +--R 6a sinh(x) + 36a cosh(x)sinh(x) + (90a cosh(x) - 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (120a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90a cosh(x) - 108a cosh(x) + 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36a cosh(x) - 72a cosh(x) + 36a cosh(x))sinh(x) + 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18a cosh(x) + 18a cosh(x) - 6a +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 530 +m0510:= a0510-r0510 +--R +--R +--R (53) +--R 3 2 6 3 2 5 +--R (6b + 9a b)sinh(x) + (36b + 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((90b + 135a b)cosh(x) - 18b - 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((120b + 180a b)cosh(x) + (- 72b - 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (90b + 135a b)cosh(x) + (- 108b - 162a b)cosh(x) + 18b +--R + +--R 2 +--R 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (36b + 54a b)cosh(x) + (- 72b - 108a b)cosh(x) +--R + +--R 3 2 +--R (36b + 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (6b + 9a b)cosh(x) + (- 18b - 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (18b + 27a b)cosh(x) - 6b - 9a b +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 6 3 2 5 +--R (- 6b - 9a b)sinh(x) + (- 36b - 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b - 135a b)cosh(x) + 18b + 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b - 180a b)cosh(x) + (72b + 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 90b - 135a b)cosh(x) + (108b + 162a b)cosh(x) - 18b +--R + +--R 2 +--R - 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b - 54a b)cosh(x) + (72b + 108a b)cosh(x) +--R + +--R 3 2 +--R (- 36b - 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b - 9a b)cosh(x) + (18b + 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b - 27a b)cosh(x) + 6b + 9a b +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 6 2 2 5 +--R (6b + 6a )sinh(x) + (36b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((90b + 90a )cosh(x) - 18b - 18a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((120b + 120a )cosh(x) + (- 72b - 72a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R ((90b + 90a )cosh(x) + (- 108b - 108a )cosh(x) + 18b + 18a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (36b + 36a )cosh(x) + (- 72b - 72a )cosh(x) +--R + +--R 2 2 +--R (36b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 2 2 2 +--R (6b + 6a )cosh(x) + (- 18b - 18a )cosh(x) + (18b + 18a )cosh(x) +--R + +--R 2 2 +--R - 6b - 6a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 6 2 2 5 +--R (- 12b - 12a )sinh(x) + (- 72b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 180b - 180a )cosh(x) + 36b + 36a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 240b - 240a )cosh(x) + (144b + 144a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R ((- 180b - 180a )cosh(x) + (216b + 216a )cosh(x) - 36b - 36a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 72b - 72a )cosh(x) + (144b + 144a )cosh(x) +--R + +--R 2 2 +--R (- 72b - 72a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 12b - 12a )cosh(x) + (36b + 36a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 36b - 36a )cosh(x) + 12b + 12a +--R * +--R x +--R +-------+ a tanh(-) - b +--R | 2 2 2 +--R \|b + a atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 6 3 2 5 +--R (- 6b - 9a b)sinh(x) + (- 36b - 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b - 135a b)cosh(x) + 18b + 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b - 180a b)cosh(x) + (72b + 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 90b - 135a b)cosh(x) + (108b + 162a b)cosh(x) - 18b +--R + +--R 2 +--R - 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b - 54a b)cosh(x) + (72b + 108a b)cosh(x) +--R + +--R 3 2 +--R (- 36b - 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b - 9a b)cosh(x) + (18b + 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b - 27a b)cosh(x) + 6b + 9a b +--R * +--R acoth(cosh(x)) +--R + +--R 2 3 3 2 3 6 +--R (- 3a b coth(x)csch(x) + 2a coth(x) + (6a b + 6a )coth(x))sinh(x) +--R + +--R 2 3 3 +--R - 18a b cosh(x)coth(x)csch(x) + 12a cosh(x)coth(x) +--R + +--R 2 3 2 +--R (36a b + 36a )cosh(x)coth(x) + 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 2 +--R (- 45a b cosh(x) + 9a b)coth(x)csch(x) +--R + +--R 3 2 3 3 +--R (30a cosh(x) - 6a )coth(x) +--R + +--R 2 3 2 2 3 2 +--R ((90a b + 90a )cosh(x) - 18a b - 18a )coth(x) + 30a b cosh(x) +--R + +--R 2 3 +--R - 12a b - 24a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (- 60a b cosh(x) + 36a b cosh(x))coth(x)csch(x) +--R + +--R 3 3 3 3 +--R (40a cosh(x) - 24a cosh(x))coth(x) +--R + +--R 2 3 3 2 3 +--R ((120a b + 120a )cosh(x) + (- 72a b - 72a )cosh(x))coth(x) +--R + +--R 2 2 2 3 +--R 60a b cosh(x) + (- 48a b - 96a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (- 45a b cosh(x) + 54a b cosh(x) - 9a b)coth(x)csch(x) +--R + +--R 3 4 3 2 3 3 +--R (30a cosh(x) - 36a cosh(x) + 6a )coth(x) +--R + +--R 2 3 4 2 3 2 2 +--R (90a b + 90a )cosh(x) + (- 108a b - 108a )cosh(x) + 18a b +--R + +--R 3 +--R 18a +--R * +--R coth(x) +--R + +--R 2 3 2 3 2 2 3 +--R 60a b cosh(x) + (- 72a b - 144a )cosh(x) + 24a b + 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 18a b cosh(x) + 36a b cosh(x) - 18a b cosh(x))coth(x)csch(x) +--R + +--R 3 5 3 3 3 3 +--R (12a cosh(x) - 24a cosh(x) + 12a cosh(x))coth(x) +--R + +--R 2 3 5 2 3 3 +--R (36a b + 36a )cosh(x) + (- 72a b - 72a )cosh(x) +--R + +--R 2 3 +--R (36a b + 36a )cosh(x) +--R * +--R coth(x) +--R + +--R 2 4 2 3 3 2 3 +--R 30a b cosh(x) + (- 48a b - 96a )cosh(x) + (48a b + 48a )cosh(x) +--R + +--R 2 +--R - 6a b +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R (- 3a b cosh(x) + 9a b cosh(x) - 9a b cosh(x) + 3a b)coth(x)csch(x) +--R + +--R 3 6 3 4 3 2 3 3 +--R (2a cosh(x) - 6a cosh(x) + 6a cosh(x) - 2a )coth(x) +--R + +--R 2 3 6 2 3 4 +--R (6a b + 6a )cosh(x) + (- 18a b - 18a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (18a b + 18a )cosh(x) - 6a b - 6a +--R * +--R coth(x) +--R + +--R 2 5 2 3 4 2 3 2 +--R 6a b cosh(x) + (- 12a b - 24a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 2 2 3 +--R - 6a b cosh(x) - 12a b - 16a +--R / +--R 4 6 4 5 4 2 4 4 +--R 6a sinh(x) + 36a cosh(x)sinh(x) + (90a cosh(x) - 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (120a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90a cosh(x) - 108a cosh(x) + 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36a cosh(x) - 72a cosh(x) + 36a cosh(x))sinh(x) + 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18a cosh(x) + 18a cosh(x) - 6a +--R Type: Expression Integer +--E 54 + +--S 55 of 530 +d0510:= D(m0510,x) +--R +--R +--R (54) +--R 4 3 2 11 +--R (2a b + 3a b )sinh(x) +--R + +--R 3 2 2 3 2 2 3 2 2 3 2 +--R ((2a b cosh(x) - 2a b )coth(x) - a b cosh(x) + a b )csch(x) +--R + +--R 4 2 4 4 +--R (- 2a b cosh(x) + 2a b)coth(x) +--R + +--R 2 3 2 2 3 2 5 2 3 2 +--R (- 2a b cosh(x) + 2a b )coth(x) + (- 2b - 2a b )cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (20a b + 30a b )cosh(x) + 2b + 6a b + 6a b +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R (20a b cosh(x) + 4a b cosh(x) - 20a b cosh(x) - 4a b) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R - 10a b cosh(x) - 2a b cosh(x) + 10a b cosh(x) + 2a b +--R * +--R csch(x) +--R + +--R 4 3 5 2 4 5 4 +--R (- 20a b cosh(x) - 4a cosh(x) + 20a b cosh(x) + 4a )coth(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R (- 20a b cosh(x) - 4a b cosh(x) + 20a b cosh(x) + 4a b ) +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 3 4 3 2 5 2 +--R (- 20b - 20a b )cosh(x) + (86a b + 131a b + 4a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (20b + 56a b + 54a b)cosh(x) - 6a b - 11a b - 4a +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R 90a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) +--R + +--R 4 3 2 +--R - 36a b cosh(x) + 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 45a b cosh(x) - 18a b cosh(x) + 50a b cosh(x) +--R + +--R 4 3 2 +--R 18a b cosh(x) - 5a b +--R * +--R csch(x) +--R + +--R 4 4 5 3 4 2 +--R - 90a b cosh(x) - 36a cosh(x) + 100a b cosh(x) +--R + +--R 5 4 +--R 36a cosh(x) - 10a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R - 90a b cosh(x) - 36a b cosh(x) + 100a b cosh(x) +--R + +--R 3 2 2 3 +--R 36a b cosh(x) - 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R (- 90b - 90a b )cosh(x) + (204a b + 324a b + 36a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (100b + 244a b + 216a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 44a b - 84a b - 36a )cosh(x) - 10b - 26a b - 24a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R 240a b cosh(x) + 144a b cosh(x) - 320a b cosh(x) +--R + +--R 4 2 3 2 4 +--R - 160a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 120a b cosh(x) - 72a b cosh(x) + 160a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 80a b cosh(x) - 40a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 4 5 5 4 4 3 +--R - 240a b cosh(x) - 144a cosh(x) + 320a b cosh(x) +--R + +--R 5 2 4 5 +--R 160a cosh(x) - 80a b cosh(x) - 16a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R - 240a b cosh(x) - 144a b cosh(x) + 320a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R 160a b cosh(x) - 80a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 5 4 3 2 5 4 +--R (- 240b - 240a b )cosh(x) + (276a b + 486a b + 144a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (320b + 656a b + 504a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 120a b - 260a b - 128a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 80b - 192a b - 168a b)cosh(x) + 4a b + 14a b - 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R 420a b cosh(x) + 336a b cosh(x) - 700a b cosh(x) +--R + +--R 4 3 3 2 2 4 +--R - 448a b cosh(x) + 300a b cosh(x) + 112a b cosh(x) +--R + +--R 3 2 +--R - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R - 210a b cosh(x) - 168a b cosh(x) + 350a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R 224a b cosh(x) - 150a b cosh(x) - 56a b cosh(x) + 10a b +--R * +--R csch(x) +--R + +--R 4 6 5 5 4 4 +--R - 420a b cosh(x) - 336a cosh(x) + 700a b cosh(x) +--R + +--R 5 3 4 2 5 4 +--R 448a cosh(x) - 300a b cosh(x) - 112a cosh(x) + 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R - 420a b cosh(x) - 336a b cosh(x) + 700a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R 448a b cosh(x) - 300a b cosh(x) - 112a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 6 4 3 2 5 5 +--R (- 420b - 420a b )cosh(x) + (168a b + 420a b + 336a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (700b + 1204a b + 756a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 112a b - 392a b - 224a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 300b - 636a b - 504a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (8a b + 68a b - 112a )cosh(x) + 20b + 44a b + 36a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R 504a b cosh(x) + 504a b cosh(x) - 1064a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R - 840a b cosh(x) + 680a b cosh(x) + 360a b cosh(x) +--R + +--R 3 2 4 +--R - 120a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R - 252a b cosh(x) - 252a b cosh(x) + 532a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R 420a b cosh(x) - 340a b cosh(x) - 180a b cosh(x) +--R + +--R 3 2 4 +--R 60a b cosh(x) + 12a b +--R * +--R csch(x) +--R + +--R 4 7 5 6 4 5 +--R - 504a b cosh(x) - 504a cosh(x) + 1064a b cosh(x) +--R + +--R 5 4 4 3 5 2 +--R 840a cosh(x) - 680a b cosh(x) - 360a cosh(x) +--R + +--R 4 5 +--R 120a b cosh(x) + 24a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 7 3 2 6 2 3 5 +--R - 504a b cosh(x) - 504a b cosh(x) + 1064a b cosh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R 840a b cosh(x) - 680a b cosh(x) - 360a b cosh(x) +--R + +--R 2 3 3 2 +--R 120a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 7 +--R (- 504b - 504a b )cosh(x) +--R + +--R 4 3 2 5 6 +--R (- 84a b + 126a b + 504a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (1064b + 1568a b + 756a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (140a b - 210a b - 168a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 680b - 1240a b - 840a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 60a b + 90a b - 312a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (120b + 240a b + 180a b)cosh(x) + 4a b - 6a b - 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R 420a b cosh(x) + 504a b cosh(x) - 1120a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R - 1064a b cosh(x) + 1000a b cosh(x) + 680a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R - 320a b cosh(x) - 120a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R - 210a b cosh(x) - 252a b cosh(x) + 560a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R 532a b cosh(x) - 500a b cosh(x) - 340a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R 160a b cosh(x) + 60a b cosh(x) - 10a b +--R * +--R csch(x) +--R + +--R 4 8 5 7 4 6 +--R - 420a b cosh(x) - 504a cosh(x) + 1120a b cosh(x) +--R + +--R 5 5 4 4 5 3 +--R 1064a cosh(x) - 1000a b cosh(x) - 680a cosh(x) +--R + +--R 4 2 5 4 +--R 320a b cosh(x) + 120a cosh(x) - 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R - 420a b cosh(x) - 504a b cosh(x) + 1120a b cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R 1064a b cosh(x) - 1000a b cosh(x) - 680a b cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R 320a b cosh(x) + 120a b cosh(x) - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 8 +--R (- 420b - 420a b )cosh(x) +--R + +--R 4 3 2 5 7 +--R (- 264a b - 144a b + 504a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (1120b + 1456a b + 504a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (504a b + 224a b + 56a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 1000b - 1560a b - 840a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 280a b - 80a b - 440a )cosh(x) +--R + +--R 5 2 3 4 2 4 5 +--R (320b + 560a b + 360a b)cosh(x) + (40a b - 120a )cosh(x) +--R + +--R 5 2 3 4 +--R - 20b - 36a b - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R 240a b cosh(x) + 336a b cosh(x) - 800a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R - 896a b cosh(x) + 960a b cosh(x) + 800a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R - 480a b cosh(x) - 256a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R - 120a b cosh(x) - 168a b cosh(x) + 400a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R 448a b cosh(x) - 480a b cosh(x) - 400a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R 240a b cosh(x) + 128a b cosh(x) - 40a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 4 9 5 8 4 7 +--R - 240a b cosh(x) - 336a cosh(x) + 800a b cosh(x) +--R + +--R 5 6 4 5 5 4 +--R 896a cosh(x) - 960a b cosh(x) - 800a cosh(x) +--R + +--R 4 3 5 2 4 5 +--R 480a b cosh(x) + 256a cosh(x) - 80a b cosh(x) - 16a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 9 3 2 8 2 3 7 +--R - 240a b cosh(x) - 336a b cosh(x) + 800a b cosh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R 896a b cosh(x) - 960a b cosh(x) - 800a b cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R 480a b cosh(x) + 256a b cosh(x) - 80a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 9 +--R (- 240b - 240a b )cosh(x) +--R + +--R 4 3 2 5 8 +--R (- 246a b - 201a b + 336a )cosh(x) +--R + +--R 5 2 3 4 7 +--R (800b + 944a b + 216a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (616a b + 476a b + 224a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 960b - 1296a b - 504a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 500a b - 350a b - 320a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (480b + 720a b + 360a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (136a b + 76a b - 224a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 80b - 128a b - 72a b)cosh(x) - 6a b - a b - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 4 9 3 2 8 +--R 90a b cosh(x) + 144a b cosh(x) - 370a b cosh(x) +--R + +--R 4 7 3 2 6 4 5 +--R - 480a b cosh(x) + 580a b cosh(x) + 576a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 420a b cosh(x) - 288a b cosh(x) + 130a b cosh(x) +--R + +--R 4 3 2 +--R 48a b cosh(x) - 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 10 4 9 3 2 8 +--R - 45a b cosh(x) - 72a b cosh(x) + 185a b cosh(x) +--R + +--R 4 7 3 2 6 4 5 +--R 240a b cosh(x) - 290a b cosh(x) - 288a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R 210a b cosh(x) + 144a b cosh(x) - 65a b cosh(x) +--R + +--R 4 3 2 +--R - 24a b cosh(x) + 5a b +--R * +--R csch(x) +--R + +--R 4 10 5 9 4 8 +--R - 90a b cosh(x) - 144a cosh(x) + 370a b cosh(x) +--R + +--R 5 7 4 6 5 5 +--R 480a cosh(x) - 580a b cosh(x) - 576a cosh(x) +--R + +--R 4 4 5 3 4 2 +--R 420a b cosh(x) + 288a cosh(x) - 130a b cosh(x) +--R + +--R 5 4 +--R - 48a cosh(x) + 10a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 10 3 2 9 2 3 8 +--R - 90a b cosh(x) - 144a b cosh(x) + 370a b cosh(x) +--R + +--R 3 2 7 2 3 6 3 2 5 +--R 480a b cosh(x) - 580a b cosh(x) - 576a b cosh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R 420a b cosh(x) + 288a b cosh(x) - 130a b cosh(x) +--R + +--R 3 2 2 3 +--R - 48a b cosh(x) + 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 10 +--R (- 90b - 90a b )cosh(x) +--R + +--R 4 3 2 5 9 +--R (- 124a b - 114a b + 144a )cosh(x) +--R + +--R 5 2 3 4 8 +--R (370b + 406a b + 54a b)cosh(x) +--R + +--R 4 3 2 5 7 +--R (400a b + 360a b + 192a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (- 580b - 692a b - 168a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 456a b - 396a b - 96a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (420b + 540a b + 180a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (208a b + 168a b - 192a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 130b - 178a b - 72a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 28a b - 18a b - 48a )cosh(x) + 10b + 14a b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 4 10 3 2 9 +--R 20a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) +--R + +--R 4 8 3 2 7 4 6 +--R - 148a b cosh(x) + 200a b cosh(x) + 232a b cosh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 200a b cosh(x) - 168a b cosh(x) + 100a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 52a b cosh(x) - 20a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 11 4 10 3 2 9 +--R - 10a b cosh(x) - 18a b cosh(x) + 50a b cosh(x) +--R + +--R 4 8 3 2 7 4 6 +--R 74a b cosh(x) - 100a b cosh(x) - 116a b cosh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R 100a b cosh(x) + 84a b cosh(x) - 50a b cosh(x) +--R + +--R 4 2 3 2 4 +--R - 26a b cosh(x) + 10a b cosh(x) + 2a b +--R * +--R csch(x) +--R + +--R 4 11 5 10 4 9 +--R - 20a b cosh(x) - 36a cosh(x) + 100a b cosh(x) +--R + +--R 5 8 4 7 5 6 +--R 148a cosh(x) - 200a b cosh(x) - 232a cosh(x) +--R + +--R 4 5 5 4 4 3 +--R 200a b cosh(x) + 168a cosh(x) - 100a b cosh(x) +--R + +--R 5 2 4 5 +--R - 52a cosh(x) + 20a b cosh(x) + 4a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 11 3 2 10 2 3 9 +--R - 20a b cosh(x) - 36a b cosh(x) + 100a b cosh(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R 148a b cosh(x) - 200a b cosh(x) - 232a b cosh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R 200a b cosh(x) + 168a b cosh(x) - 100a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R - 52a b cosh(x) + 20a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 11 4 3 2 5 10 +--R (- 20b - 20a b )cosh(x) + (- 34a b - 33a b + 36a )cosh(x) +--R + +--R 5 2 3 4 9 +--R (100b + 104a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 8 +--R (138a b + 133a b + 76a )cosh(x) +--R + +--R 5 2 3 4 7 +--R (- 200b - 216a b - 24a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (- 212a b - 202a b + 8a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (200b + 224a b + 36a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (148a b + 138a b - 72a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 100b - 116a b - 24a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 42a b - 37a b - 44a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (20b + 24a b + 6a b)cosh(x) + 2a b + a b - 4a +--R * +--R sinh(x) +--R + +--R 3 2 12 4 11 3 2 10 +--R 2a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) +--R + +--R 4 9 3 2 8 4 7 +--R - 20a b cosh(x) + 30a b cosh(x) + 40a b cosh(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R - 40a b cosh(x) - 40a b cosh(x) + 30a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R 20a b cosh(x) - 12a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 12 4 11 3 2 10 +--R - a b cosh(x) - 2a b cosh(x) + 6a b cosh(x) +--R + +--R 4 9 3 2 8 4 7 3 2 6 +--R 10a b cosh(x) - 15a b cosh(x) - 20a b cosh(x) + 20a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 3 2 2 +--R 20a b cosh(x) - 15a b cosh(x) - 10a b cosh(x) + 6a b cosh(x) +--R + +--R 4 3 2 +--R 2a b cosh(x) - a b +--R * +--R csch(x) +--R + +--R 4 12 5 11 4 10 5 9 +--R - 2a b cosh(x) - 4a cosh(x) + 12a b cosh(x) + 20a cosh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R - 30a b cosh(x) - 40a cosh(x) + 40a b cosh(x) + 40a cosh(x) +--R + +--R 4 4 5 3 4 2 5 +--R - 30a b cosh(x) - 20a cosh(x) + 12a b cosh(x) + 4a cosh(x) +--R + +--R 4 +--R - 2a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 12 3 2 11 2 3 10 +--R - 2a b cosh(x) - 4a b cosh(x) + 12a b cosh(x) +--R + +--R 3 2 9 2 3 8 3 2 7 2 3 6 +--R 20a b cosh(x) - 30a b cosh(x) - 40a b cosh(x) + 40a b cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 2 3 2 +--R 40a b cosh(x) - 30a b cosh(x) - 20a b cosh(x) + 12a b cosh(x) +--R + +--R 3 2 2 3 +--R 4a b cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 12 4 3 2 5 11 +--R (- 2b - 2a b )cosh(x) + (- 4a b - 4a b + 4a )cosh(x) +--R + +--R 5 2 3 10 4 3 2 5 9 +--R (12b + 12a b )cosh(x) + (20a b + 20a b + 12a )cosh(x) +--R + +--R 5 2 3 8 4 3 2 5 7 +--R (- 30b - 30a b )cosh(x) + (- 40a b - 40a b + 8a )cosh(x) +--R + +--R 5 2 3 6 4 3 2 5 5 +--R (40b + 40a b )cosh(x) + (40a b + 40a b - 8a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R (- 30b - 30a b )cosh(x) + (- 20a b - 20a b - 12a )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 5 2 3 +--R (12b + 12a b )cosh(x) + (4a b + 4a b - 4a )cosh(x) - 2b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 2 3 11 +--R (- 4b - 6a b )sinh(x) +--R + +--R 2 3 2 2 3 2 2 3 2 2 3 +--R ((- 4a b cosh(x) + 4a b )coth(x) + 2a b cosh(x) - 2a b ) +--R * +--R csch(x) +--R + +--R 3 2 2 3 2 4 4 2 4 2 +--R (4a b cosh(x) - 4a b )coth(x) + (4a b cosh(x) - 4a b )coth(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (- 4a b - 4a b )cosh(x) + (- 40b - 60a b )cosh(x) - 4a b +--R + +--R 3 2 +--R - 8a b +--R * +--R 10 +--R sinh(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R (- 40a b cosh(x) - 8a b cosh(x) + 40a b cosh(x) + 8a b ) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R 20a b cosh(x) + 4a b cosh(x) - 20a b cosh(x) - 4a b +--R * +--R csch(x) +--R + +--R 3 2 3 4 2 3 2 4 4 +--R (40a b cosh(x) + 8a b cosh(x) - 40a b cosh(x) - 8a b)coth(x) +--R + +--R 4 3 2 3 2 4 2 3 2 +--R (40a b cosh(x) + 8a b cosh(x) - 40a b cosh(x) - 8a b )coth(x) +--R + +--R 4 3 2 3 5 2 3 4 2 +--R (- 40a b - 40a b )cosh(x) + (- 180b - 278a b - 16a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (- 32a b - 68a b )cosh(x) + 20b + 38a b + 16a b +--R * +--R 9 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R - 180a b cosh(x) - 72a b cosh(x) + 200a b cosh(x) +--R + +--R 3 2 2 3 +--R 72a b cosh(x) - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R 90a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) +--R + +--R 3 2 2 3 +--R - 36a b cosh(x) + 10a b +--R * +--R csch(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R 180a b cosh(x) + 72a b cosh(x) - 200a b cosh(x) +--R + +--R 4 3 2 +--R - 72a b cosh(x) + 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 4 2 3 3 4 2 +--R 180a b cosh(x) + 72a b cosh(x) - 200a b cosh(x) +--R + +--R 2 3 4 +--R - 72a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 4 +--R (- 180a b - 180a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 480b - 792a b - 144a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (- 88a b - 232a b )cosh(x) + (160b + 312a b + 144a b)cosh(x) +--R + +--R 4 3 2 +--R 12a b + 28a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R - 480a b cosh(x) - 288a b cosh(x) + 640a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R 320a b cosh(x) - 160a b cosh(x) - 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R 240a b cosh(x) + 144a b cosh(x) - 320a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R - 160a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R csch(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R 480a b cosh(x) + 288a b cosh(x) - 640a b cosh(x) +--R + +--R 4 2 3 2 4 +--R - 320a b cosh(x) + 160a b cosh(x) + 32a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 5 2 3 4 4 3 +--R 480a b cosh(x) + 288a b cosh(x) - 640a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R - 320a b cosh(x) + 160a b cosh(x) + 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 5 +--R (- 480a b - 480a b )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 840b - 1548a b - 576a b)cosh(x) +--R + +--R 4 3 2 3 +--R (- 32a b - 368a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 +--R (560b + 1160a b + 576a b)cosh(x) + (64a b + 176a b )cosh(x) +--R + +--R 5 2 3 +--R - 40b - 92a b +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R - 840a b cosh(x) - 672a b cosh(x) + 1400a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R 896a b cosh(x) - 600a b cosh(x) - 224a b cosh(x) + 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R 420a b cosh(x) + 336a b cosh(x) - 700a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R - 448a b cosh(x) + 300a b cosh(x) + 112a b cosh(x) - 20a b +--R * +--R csch(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R 840a b cosh(x) + 672a b cosh(x) - 1400a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R - 896a b cosh(x) + 600a b cosh(x) + 224a b cosh(x) - 40a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 6 2 3 5 4 4 +--R 840a b cosh(x) + 672a b cosh(x) - 1400a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R - 896a b cosh(x) + 600a b cosh(x) + 224a b cosh(x) - 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 6 +--R (- 840a b - 840a b )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 1008b - 2184a b - 1344a b)cosh(x) +--R + +--R 4 3 2 4 +--R (392a b - 112a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (1120b + 2576a b + 1344a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (72a b + 408a b )cosh(x) + (- 240b - 584a b )cosh(x) - 8a b +--R + +--R 3 2 +--R - 32a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 7 3 2 6 2 3 5 +--R - 1008a b cosh(x) - 1008a b cosh(x) + 2128a b cosh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R 1680a b cosh(x) - 1360a b cosh(x) - 720a b cosh(x) +--R + +--R 2 3 3 2 +--R 240a b cosh(x) + 48a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 7 3 2 6 2 3 5 +--R 504a b cosh(x) + 504a b cosh(x) - 1064a b cosh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R - 840a b cosh(x) + 680a b cosh(x) + 360a b cosh(x) +--R + +--R 2 3 3 2 +--R - 120a b cosh(x) - 24a b +--R * +--R csch(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R 1008a b cosh(x) + 1008a b cosh(x) - 2128a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R - 1680a b cosh(x) + 1360a b cosh(x) + 720a b cosh(x) +--R + +--R 3 2 4 +--R - 240a b cosh(x) - 48a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 7 2 3 6 4 5 +--R 1008a b cosh(x) + 1008a b cosh(x) - 2128a b cosh(x) +--R + +--R 2 3 4 4 3 2 3 2 +--R - 1680a b cosh(x) + 1360a b cosh(x) + 720a b cosh(x) +--R + +--R 4 2 3 +--R - 240a b cosh(x) - 48a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 7 +--R (- 1008a b - 1008a b )cosh(x) +--R + +--R 5 2 3 4 6 +--R (- 840b - 2268a b - 2016a b)cosh(x) +--R + +--R 4 3 2 5 +--R (1120a b + 616a b )cosh(x) +--R + +--R 5 2 3 4 4 +--R (1400b + 3780a b + 2016a b)cosh(x) +--R + +--R 4 3 2 3 +--R (- 240a b + 320a b )cosh(x) +--R + +--R 5 2 3 4 2 3 2 5 +--R (- 600b - 1620a b - 96a b)cosh(x) - 120a b cosh(x) + 40b +--R + +--R 2 3 4 +--R 108a b + 96a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R - 840a b cosh(x) - 1008a b cosh(x) + 2240a b cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R 2128a b cosh(x) - 2000a b cosh(x) - 1360a b cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R 640a b cosh(x) + 240a b cosh(x) - 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R 420a b cosh(x) + 504a b cosh(x) - 1120a b cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R - 1064a b cosh(x) + 1000a b cosh(x) + 680a b cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R - 320a b cosh(x) - 120a b cosh(x) + 20a b +--R * +--R csch(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R 840a b cosh(x) + 1008a b cosh(x) - 2240a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R - 2128a b cosh(x) + 2000a b cosh(x) + 1360a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R - 640a b cosh(x) - 240a b cosh(x) + 40a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 8 2 3 7 4 6 +--R 840a b cosh(x) + 1008a b cosh(x) - 2240a b cosh(x) +--R + +--R 2 3 5 4 4 2 3 3 +--R - 2128a b cosh(x) + 2000a b cosh(x) + 1360a b cosh(x) +--R + +--R 4 2 2 3 4 +--R - 640a b cosh(x) - 240a b cosh(x) + 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 8 +--R (- 840a b - 840a b )cosh(x) +--R + +--R 5 2 3 4 7 +--R (- 480b - 1728a b - 2016a b)cosh(x) +--R + +--R 4 3 2 6 +--R (1568a b + 1232a b )cosh(x) +--R + +--R 5 2 3 4 5 +--R (1120b + 3808a b + 2016a b)cosh(x) +--R + +--R 4 3 2 4 +--R (- 880a b - 320a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 800b - 2560a b - 480a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (160a b - 80a b )cosh(x) + (160b + 480a b + 480a b)cosh(x) +--R + +--R 4 3 2 +--R - 8a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 9 3 2 8 2 3 7 +--R - 480a b cosh(x) - 672a b cosh(x) + 1600a b cosh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R 1792a b cosh(x) - 1920a b cosh(x) - 1600a b cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R 960a b cosh(x) + 512a b cosh(x) - 160a b cosh(x) - 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 9 3 2 8 2 3 7 +--R 240a b cosh(x) + 336a b cosh(x) - 800a b cosh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R - 896a b cosh(x) + 960a b cosh(x) + 800a b cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R - 480a b cosh(x) - 256a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R csch(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R 480a b cosh(x) + 672a b cosh(x) - 1600a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R - 1792a b cosh(x) + 1920a b cosh(x) + 1600a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R - 960a b cosh(x) - 512a b cosh(x) + 160a b cosh(x) + 32a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 9 2 3 8 4 7 +--R 480a b cosh(x) + 672a b cosh(x) - 1600a b cosh(x) +--R + +--R 2 3 6 4 5 2 3 4 +--R - 1792a b cosh(x) + 1920a b cosh(x) + 1600a b cosh(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R - 960a b cosh(x) - 512a b cosh(x) + 160a b cosh(x) + 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 9 +--R (- 480a b - 480a b )cosh(x) +--R + +--R 5 2 3 4 8 +--R (- 180b - 942a b - 1344a b)cosh(x) +--R + +--R 4 3 2 7 +--R (1312a b + 1168a b )cosh(x) +--R + +--R 5 2 3 4 6 +--R (560b + 2632a b + 1344a b)cosh(x) +--R + +--R 4 3 2 5 +--R (- 1248a b - 912a b )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 600b - 2500a b - 960a b)cosh(x) +--R + +--R 4 3 2 3 5 2 3 4 2 +--R (480a b + 240a b )cosh(x) + (240b + 872a b + 960a b)cosh(x) +--R + +--R 4 3 2 5 2 3 +--R (- 64a b - 16a b )cosh(x) - 20b - 62a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 10 3 2 9 2 3 8 +--R - 180a b cosh(x) - 288a b cosh(x) + 740a b cosh(x) +--R + +--R 3 2 7 2 3 6 3 2 5 +--R 960a b cosh(x) - 1160a b cosh(x) - 1152a b cosh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R 840a b cosh(x) + 576a b cosh(x) - 260a b cosh(x) +--R + +--R 3 2 2 3 +--R - 96a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 10 3 2 9 2 3 8 +--R 90a b cosh(x) + 144a b cosh(x) - 370a b cosh(x) +--R + +--R 3 2 7 2 3 6 3 2 5 +--R - 480a b cosh(x) + 580a b cosh(x) + 576a b cosh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R - 420a b cosh(x) - 288a b cosh(x) + 130a b cosh(x) +--R + +--R 3 2 2 3 +--R 48a b cosh(x) - 10a b +--R * +--R csch(x) +--R + +--R 3 2 10 4 9 3 2 8 +--R 180a b cosh(x) + 288a b cosh(x) - 740a b cosh(x) +--R + +--R 4 7 3 2 6 4 5 +--R - 960a b cosh(x) + 1160a b cosh(x) + 1152a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 840a b cosh(x) - 576a b cosh(x) + 260a b cosh(x) +--R + +--R 4 3 2 +--R 96a b cosh(x) - 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 10 2 3 9 4 8 +--R 180a b cosh(x) + 288a b cosh(x) - 740a b cosh(x) +--R + +--R 2 3 7 4 6 2 3 5 +--R - 960a b cosh(x) + 1160a b cosh(x) + 1152a b cosh(x) +--R + +--R 4 4 2 3 3 4 2 +--R - 840a b cosh(x) - 576a b cosh(x) + 260a b cosh(x) +--R + +--R 2 3 4 +--R 96a b cosh(x) - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 10 +--R (- 180a b - 180a b )cosh(x) +--R + +--R 5 2 3 4 9 4 3 2 8 +--R (- 40b - 348a b - 576a b)cosh(x) + (668a b + 632a b )cosh(x) +--R + +--R 5 2 3 4 7 +--R (160b + 1200a b + 576a b)cosh(x) +--R + +--R 4 3 2 6 +--R (- 936a b - 824a b )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 240b - 1512a b - 960a b)cosh(x) +--R + +--R 4 3 2 4 5 2 3 4 3 +--R (600a b + 480a b )cosh(x) + (160b + 816a b + 960a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 +--R (- 164a b - 116a b )cosh(x) + (- 40b - 156a b )cosh(x) +--R + +--R 4 3 2 +--R 12a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 11 3 2 10 2 3 9 +--R - 40a b cosh(x) - 72a b cosh(x) + 200a b cosh(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R 296a b cosh(x) - 400a b cosh(x) - 464a b cosh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R 400a b cosh(x) + 336a b cosh(x) - 200a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R - 104a b cosh(x) + 40a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 11 3 2 10 2 3 9 +--R 20a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R - 148a b cosh(x) + 200a b cosh(x) + 232a b cosh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R - 200a b cosh(x) - 168a b cosh(x) + 100a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R 52a b cosh(x) - 20a b cosh(x) - 4a b +--R * +--R csch(x) +--R + +--R 3 2 11 4 10 3 2 9 +--R 40a b cosh(x) + 72a b cosh(x) - 200a b cosh(x) +--R + +--R 4 8 3 2 7 4 6 +--R - 296a b cosh(x) + 400a b cosh(x) + 464a b cosh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 400a b cosh(x) - 336a b cosh(x) + 200a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 104a b cosh(x) - 40a b cosh(x) - 8a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 11 2 3 10 4 9 +--R 40a b cosh(x) + 72a b cosh(x) - 200a b cosh(x) +--R + +--R 2 3 8 4 7 2 3 6 +--R - 296a b cosh(x) + 400a b cosh(x) + 464a b cosh(x) +--R + +--R 4 5 2 3 4 4 3 +--R - 400a b cosh(x) - 336a b cosh(x) + 200a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R 104a b cosh(x) - 40a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 11 5 2 3 4 10 +--R (- 40a b - 40a b )cosh(x) + (- 4b - 78a b - 144a b)cosh(x) +--R + +--R 4 3 2 9 5 2 3 4 8 +--R (192a b + 188a b )cosh(x) + (20b + 326a b + 144a b)cosh(x) +--R + +--R 4 3 2 7 +--R (- 368a b - 352a b )cosh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 +--R (- 40b - 524a b - 480a b)cosh(x) + (352a b + 328a b )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 3 +--R (40b + 396a b + 480a b)cosh(x) + (- 168a b - 152a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 +--R (- 20b - 134a b - 16a b)cosh(x) + (32a b + 28a b )cosh(x) +--R + +--R 5 2 3 4 +--R 4b + 14a b + 16a b +--R * +--R sinh(x) +--R + +--R 2 3 12 3 2 11 2 3 10 +--R - 4a b cosh(x) - 8a b cosh(x) + 24a b cosh(x) +--R + +--R 3 2 9 2 3 8 3 2 7 +--R 40a b cosh(x) - 60a b cosh(x) - 80a b cosh(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R 80a b cosh(x) + 80a b cosh(x) - 60a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R - 40a b cosh(x) + 24a b cosh(x) + 8a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 12 3 2 11 2 3 10 +--R 2a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) +--R + +--R 3 2 9 2 3 8 3 2 7 +--R - 20a b cosh(x) + 30a b cosh(x) + 40a b cosh(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R - 40a b cosh(x) - 40a b cosh(x) + 30a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R 20a b cosh(x) - 12a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R csch(x) +--R + +--R 3 2 12 4 11 3 2 10 +--R 4a b cosh(x) + 8a b cosh(x) - 24a b cosh(x) +--R + +--R 4 9 3 2 8 4 7 +--R - 40a b cosh(x) + 60a b cosh(x) + 80a b cosh(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R - 80a b cosh(x) - 80a b cosh(x) + 60a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R 40a b cosh(x) - 24a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R 4 +--R coth(x) +--R + +--R 4 12 2 3 11 4 10 +--R 4a b cosh(x) + 8a b cosh(x) - 24a b cosh(x) +--R + +--R 2 3 9 4 8 2 3 7 +--R - 40a b cosh(x) + 60a b cosh(x) + 80a b cosh(x) +--R + +--R 4 6 2 3 5 4 4 +--R - 80a b cosh(x) - 80a b cosh(x) + 60a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R 40a b cosh(x) - 24a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 12 2 3 4 11 +--R (- 4a b - 4a b )cosh(x) + (- 8a b - 16a b)cosh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (24a b + 24a b )cosh(x) + (40a b + 16a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (- 60a b - 60a b )cosh(x) + (- 80a b - 96a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (80a b + 80a b )cosh(x) + (80a b + 96a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 60a b - 60a b )cosh(x) + (- 40a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (24a b + 24a b )cosh(x) + (8a b + 16a b)cosh(x) - 4a b - 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 3 2 11 +--R (- 2a b - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 2 3 2 2 3 2 +--R ((- 2a b cosh(x) + 2a b )coth(x) + a b cosh(x) - a b )csch(x) +--R + +--R 4 2 4 4 2 3 2 2 3 2 +--R (2a b cosh(x) - 2a b)coth(x) + (2a b cosh(x) - 2a b )coth(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 4 +--R (2b + 2a b )cosh(x) + (- 20a b - 30a b )cosh(x) - 2b - 6a b - 6a b +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 3 4 2 3 2 4 2 +--R (- 20a b cosh(x) - 4a b cosh(x) + 20a b cosh(x) + 4a b)coth(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R 10a b cosh(x) + 2a b cosh(x) - 10a b cosh(x) - 2a b +--R * +--R csch(x) +--R + +--R 4 3 5 2 4 5 4 +--R (20a b cosh(x) + 4a cosh(x) - 20a b cosh(x) - 4a )coth(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 2 +--R (20a b cosh(x) + 4a b cosh(x) - 20a b cosh(x) - 4a b )coth(x) +--R + +--R 5 2 3 3 4 3 2 5 2 +--R (20b + 20a b )cosh(x) + (- 86a b - 131a b - 4a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 20b - 56a b - 54a b)cosh(x) + 6a b + 11a b + 4a +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 90a b cosh(x) - 36a b cosh(x) + 100a b cosh(x) +--R + +--R 4 3 2 +--R 36a b cosh(x) - 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 4 3 3 2 2 4 +--R 45a b cosh(x) + 18a b cosh(x) - 50a b cosh(x) - 18a b cosh(x) +--R + +--R 3 2 +--R 5a b +--R * +--R csch(x) +--R + +--R 4 4 5 3 4 2 5 +--R 90a b cosh(x) + 36a cosh(x) - 100a b cosh(x) - 36a cosh(x) +--R + +--R 4 +--R 10a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 4 3 2 3 2 3 2 3 2 +--R 90a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) - 36a b cosh(x) +--R + +--R 2 3 +--R 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R (90b + 90a b )cosh(x) + (- 204a b - 324a b - 36a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 100b - 244a b - 216a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (44a b + 84a b + 36a )cosh(x) + 10b + 26a b + 24a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 240a b cosh(x) - 144a b cosh(x) + 320a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 160a b cosh(x) - 80a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R 120a b cosh(x) + 72a b cosh(x) - 160a b cosh(x) +--R + +--R 4 2 3 2 4 +--R - 80a b cosh(x) + 40a b cosh(x) + 8a b +--R * +--R csch(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 240a b cosh(x) + 144a cosh(x) - 320a b cosh(x) - 160a cosh(x) +--R + +--R 4 5 +--R 80a b cosh(x) + 16a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R 240a b cosh(x) + 144a b cosh(x) - 320a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R - 160a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 5 4 3 2 5 4 +--R (240b + 240a b )cosh(x) + (- 276a b - 486a b - 144a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 320b - 656a b - 504a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (120a b + 260a b + 128a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (80b + 192a b + 168a b)cosh(x) - 4a b - 14a b + 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R - 420a b cosh(x) - 336a b cosh(x) + 700a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R 448a b cosh(x) - 300a b cosh(x) - 112a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R 210a b cosh(x) + 168a b cosh(x) - 350a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R - 224a b cosh(x) + 150a b cosh(x) + 56a b cosh(x) - 10a b +--R * +--R csch(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 420a b cosh(x) + 336a cosh(x) - 700a b cosh(x) - 448a cosh(x) +--R + +--R 4 2 5 4 +--R 300a b cosh(x) + 112a cosh(x) - 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 6 3 2 5 2 3 4 +--R 420a b cosh(x) + 336a b cosh(x) - 700a b cosh(x) +--R + +--R 3 2 3 2 3 2 3 2 2 3 +--R - 448a b cosh(x) + 300a b cosh(x) + 112a b cosh(x) - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 6 4 3 2 5 5 +--R (420b + 420a b )cosh(x) + (- 168a b - 420a b - 336a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 700b - 1204a b - 756a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (112a b + 392a b + 224a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (300b + 636a b + 504a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 8a b - 68a b + 112a )cosh(x) - 20b - 44a b - 36a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R - 504a b cosh(x) - 504a b cosh(x) + 1064a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R 840a b cosh(x) - 680a b cosh(x) - 360a b cosh(x) +--R + +--R 3 2 4 +--R 120a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R 252a b cosh(x) + 252a b cosh(x) - 532a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R - 420a b cosh(x) + 340a b cosh(x) + 180a b cosh(x) +--R + +--R 3 2 4 +--R - 60a b cosh(x) - 12a b +--R * +--R csch(x) +--R + +--R 4 7 5 6 4 5 +--R 504a b cosh(x) + 504a cosh(x) - 1064a b cosh(x) +--R + +--R 5 4 4 3 5 2 +--R - 840a cosh(x) + 680a b cosh(x) + 360a cosh(x) +--R + +--R 4 5 +--R - 120a b cosh(x) - 24a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 7 3 2 6 2 3 5 +--R 504a b cosh(x) + 504a b cosh(x) - 1064a b cosh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R - 840a b cosh(x) + 680a b cosh(x) + 360a b cosh(x) +--R + +--R 2 3 3 2 +--R - 120a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 7 4 3 2 5 6 +--R (504b + 504a b )cosh(x) + (84a b - 126a b - 504a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 1064b - 1568a b - 756a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 140a b + 210a b + 168a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (680b + 1240a b + 840a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (60a b - 90a b + 312a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 120b - 240a b - 180a b)cosh(x) - 4a b + 6a b + 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R - 420a b cosh(x) - 504a b cosh(x) + 1120a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R 1064a b cosh(x) - 1000a b cosh(x) - 680a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R 320a b cosh(x) + 120a b cosh(x) - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R 210a b cosh(x) + 252a b cosh(x) - 560a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R - 532a b cosh(x) + 500a b cosh(x) + 340a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R - 160a b cosh(x) - 60a b cosh(x) + 10a b +--R * +--R csch(x) +--R + +--R 4 8 5 7 4 6 +--R 420a b cosh(x) + 504a cosh(x) - 1120a b cosh(x) +--R + +--R 5 5 4 4 5 3 +--R - 1064a cosh(x) + 1000a b cosh(x) + 680a cosh(x) +--R + +--R 4 2 5 4 +--R - 320a b cosh(x) - 120a cosh(x) + 20a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R 420a b cosh(x) + 504a b cosh(x) - 1120a b cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R - 1064a b cosh(x) + 1000a b cosh(x) + 680a b cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R - 320a b cosh(x) - 120a b cosh(x) + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 8 4 3 2 5 7 +--R (420b + 420a b )cosh(x) + (264a b + 144a b - 504a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (- 1120b - 1456a b - 504a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 504a b - 224a b - 56a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (1000b + 1560a b + 840a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (280a b + 80a b + 440a )cosh(x) +--R + +--R 5 2 3 4 2 4 5 +--R (- 320b - 560a b - 360a b)cosh(x) + (- 40a b + 120a )cosh(x) +--R + +--R 5 2 3 4 +--R 20b + 36a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R - 240a b cosh(x) - 336a b cosh(x) + 800a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R 896a b cosh(x) - 960a b cosh(x) - 800a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R 480a b cosh(x) + 256a b cosh(x) - 80a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R 120a b cosh(x) + 168a b cosh(x) - 400a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R - 448a b cosh(x) + 480a b cosh(x) + 400a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R - 240a b cosh(x) - 128a b cosh(x) + 40a b cosh(x) + 8a b +--R * +--R csch(x) +--R + +--R 4 9 5 8 4 7 5 6 +--R 240a b cosh(x) + 336a cosh(x) - 800a b cosh(x) - 896a cosh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 960a b cosh(x) + 800a cosh(x) - 480a b cosh(x) - 256a cosh(x) +--R + +--R 4 5 +--R 80a b cosh(x) + 16a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 9 3 2 8 2 3 7 +--R 240a b cosh(x) + 336a b cosh(x) - 800a b cosh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R - 896a b cosh(x) + 960a b cosh(x) + 800a b cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 3 2 +--R - 480a b cosh(x) - 256a b cosh(x) + 80a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 9 4 3 2 5 8 +--R (240b + 240a b )cosh(x) + (246a b + 201a b - 336a )cosh(x) +--R + +--R 5 2 3 4 7 +--R (- 800b - 944a b - 216a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (- 616a b - 476a b - 224a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (960b + 1296a b + 504a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (500a b + 350a b + 320a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 480b - 720a b - 360a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 136a b - 76a b + 224a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (80b + 128a b + 72a b)cosh(x) + 6a b + a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 4 9 3 2 8 +--R - 90a b cosh(x) - 144a b cosh(x) + 370a b cosh(x) +--R + +--R 4 7 3 2 6 4 5 +--R 480a b cosh(x) - 580a b cosh(x) - 576a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R 420a b cosh(x) + 288a b cosh(x) - 130a b cosh(x) +--R + +--R 4 3 2 +--R - 48a b cosh(x) + 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 10 4 9 3 2 8 +--R 45a b cosh(x) + 72a b cosh(x) - 185a b cosh(x) +--R + +--R 4 7 3 2 6 4 5 +--R - 240a b cosh(x) + 290a b cosh(x) + 288a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 210a b cosh(x) - 144a b cosh(x) + 65a b cosh(x) +--R + +--R 4 3 2 +--R 24a b cosh(x) - 5a b +--R * +--R csch(x) +--R + +--R 4 10 5 9 4 8 5 7 +--R 90a b cosh(x) + 144a cosh(x) - 370a b cosh(x) - 480a cosh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 580a b cosh(x) + 576a cosh(x) - 420a b cosh(x) - 288a cosh(x) +--R + +--R 4 2 5 4 +--R 130a b cosh(x) + 48a cosh(x) - 10a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 10 3 2 9 2 3 8 +--R 90a b cosh(x) + 144a b cosh(x) - 370a b cosh(x) +--R + +--R 3 2 7 2 3 6 3 2 5 +--R - 480a b cosh(x) + 580a b cosh(x) + 576a b cosh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 +--R - 420a b cosh(x) - 288a b cosh(x) + 130a b cosh(x) +--R + +--R 3 2 2 3 +--R 48a b cosh(x) - 10a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 10 4 3 2 5 9 +--R (90b + 90a b )cosh(x) + (124a b + 114a b - 144a )cosh(x) +--R + +--R 5 2 3 4 8 +--R (- 370b - 406a b - 54a b)cosh(x) +--R + +--R 4 3 2 5 7 +--R (- 400a b - 360a b - 192a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (580b + 692a b + 168a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (456a b + 396a b + 96a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 420b - 540a b - 180a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 208a b - 168a b + 192a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (130b + 178a b + 72a b)cosh(x) + (28a b + 18a b + 48a )cosh(x) +--R + +--R 5 2 3 4 +--R - 10b - 14a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 4 10 3 2 9 +--R - 20a b cosh(x) - 36a b cosh(x) + 100a b cosh(x) +--R + +--R 4 8 3 2 7 4 6 +--R 148a b cosh(x) - 200a b cosh(x) - 232a b cosh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R 200a b cosh(x) + 168a b cosh(x) - 100a b cosh(x) +--R + +--R 4 2 3 2 4 +--R - 52a b cosh(x) + 20a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 11 4 10 3 2 9 +--R 10a b cosh(x) + 18a b cosh(x) - 50a b cosh(x) +--R + +--R 4 8 3 2 7 4 6 +--R - 74a b cosh(x) + 100a b cosh(x) + 116a b cosh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 100a b cosh(x) - 84a b cosh(x) + 50a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 26a b cosh(x) - 10a b cosh(x) - 2a b +--R * +--R csch(x) +--R + +--R 4 11 5 10 4 9 5 8 +--R 20a b cosh(x) + 36a cosh(x) - 100a b cosh(x) - 148a cosh(x) +--R + +--R 4 7 5 6 4 5 5 4 +--R 200a b cosh(x) + 232a cosh(x) - 200a b cosh(x) - 168a cosh(x) +--R + +--R 4 3 5 2 4 5 +--R 100a b cosh(x) + 52a cosh(x) - 20a b cosh(x) - 4a +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 11 3 2 10 2 3 9 +--R 20a b cosh(x) + 36a b cosh(x) - 100a b cosh(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R - 148a b cosh(x) + 200a b cosh(x) + 232a b cosh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R - 200a b cosh(x) - 168a b cosh(x) + 100a b cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R 52a b cosh(x) - 20a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 11 4 3 2 5 10 +--R (20b + 20a b )cosh(x) + (34a b + 33a b - 36a )cosh(x) +--R + +--R 5 2 3 4 9 +--R (- 100b - 104a b - 6a b)cosh(x) +--R + +--R 4 3 2 5 8 +--R (- 138a b - 133a b - 76a )cosh(x) +--R + +--R 5 2 3 4 7 4 3 2 5 6 +--R (200b + 216a b + 24a b)cosh(x) + (212a b + 202a b - 8a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 200b - 224a b - 36a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 148a b - 138a b + 72a )cosh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (100b + 116a b + 24a b)cosh(x) + (42a b + 37a b + 44a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 20b - 24a b - 6a b)cosh(x) - 2a b - a b + 4a +--R * +--R sinh(x) +--R + +--R 3 2 12 4 11 3 2 10 +--R - 2a b cosh(x) - 4a b cosh(x) + 12a b cosh(x) +--R + +--R 4 9 3 2 8 4 7 3 2 6 +--R 20a b cosh(x) - 30a b cosh(x) - 40a b cosh(x) + 40a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 3 2 2 +--R 40a b cosh(x) - 30a b cosh(x) - 20a b cosh(x) + 12a b cosh(x) +--R + +--R 4 3 2 +--R 4a b cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 12 4 11 3 2 10 4 9 +--R a b cosh(x) + 2a b cosh(x) - 6a b cosh(x) - 10a b cosh(x) +--R + +--R 3 2 8 4 7 3 2 6 4 5 +--R 15a b cosh(x) + 20a b cosh(x) - 20a b cosh(x) - 20a b cosh(x) +--R + +--R 3 2 4 4 3 3 2 2 4 3 2 +--R 15a b cosh(x) + 10a b cosh(x) - 6a b cosh(x) - 2a b cosh(x) + a b +--R * +--R csch(x) +--R + +--R 4 12 5 11 4 10 5 9 +--R 2a b cosh(x) + 4a cosh(x) - 12a b cosh(x) - 20a cosh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R 30a b cosh(x) + 40a cosh(x) - 40a b cosh(x) - 40a cosh(x) +--R + +--R 4 4 5 3 4 2 5 4 +--R 30a b cosh(x) + 20a cosh(x) - 12a b cosh(x) - 4a cosh(x) + 2a b +--R * +--R 4 +--R coth(x) +--R + +--R 2 3 12 3 2 11 2 3 10 3 2 9 +--R 2a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) - 20a b cosh(x) +--R + +--R 2 3 8 3 2 7 2 3 6 3 2 5 +--R 30a b cosh(x) + 40a b cosh(x) - 40a b cosh(x) - 40a b cosh(x) +--R + +--R 2 3 4 3 2 3 2 3 2 3 2 2 3 +--R 30a b cosh(x) + 20a b cosh(x) - 12a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 2 3 12 4 3 2 5 11 +--R (2b + 2a b )cosh(x) + (4a b + 4a b - 4a )cosh(x) +--R + +--R 5 2 3 10 4 3 2 5 9 +--R (- 12b - 12a b )cosh(x) + (- 20a b - 20a b - 12a )cosh(x) +--R + +--R 5 2 3 8 4 3 2 5 7 +--R (30b + 30a b )cosh(x) + (40a b + 40a b - 8a )cosh(x) +--R + +--R 5 2 3 6 4 3 2 5 5 +--R (- 40b - 40a b )cosh(x) + (- 40a b - 40a b + 8a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R (30b + 30a b )cosh(x) + (20a b + 20a b + 12a )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 5 2 3 +--R (- 12b - 12a b )cosh(x) + (- 4a b - 4a b + 4a )cosh(x) + 2b + 2a b +--R / +--R 5 2 5 10 +--R (2a b cosh(x) - 2a b)sinh(x) +--R + +--R 5 3 6 2 5 6 9 +--R (20a b cosh(x) + 4a cosh(x) - 20a b cosh(x) - 4a )sinh(x) +--R + +--R 5 4 6 3 5 2 6 +--R 90a b cosh(x) + 36a cosh(x) - 100a b cosh(x) - 36a cosh(x) +--R + +--R 5 +--R 10a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 5 3 6 2 +--R 240a b cosh(x) + 144a cosh(x) - 320a b cosh(x) - 160a cosh(x) +--R + +--R 5 6 +--R 80a b cosh(x) + 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 6 6 5 5 4 6 3 +--R 420a b cosh(x) + 336a cosh(x) - 700a b cosh(x) - 448a cosh(x) +--R + +--R 5 2 6 5 +--R 300a b cosh(x) + 112a cosh(x) - 20a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 7 6 6 5 5 +--R 504a b cosh(x) + 504a cosh(x) - 1064a b cosh(x) +--R + +--R 6 4 5 3 6 2 +--R - 840a cosh(x) + 680a b cosh(x) + 360a cosh(x) +--R + +--R 5 6 +--R - 120a b cosh(x) - 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 8 6 7 5 6 +--R 420a b cosh(x) + 504a cosh(x) - 1120a b cosh(x) +--R + +--R 6 5 5 4 6 3 +--R - 1064a cosh(x) + 1000a b cosh(x) + 680a cosh(x) +--R + +--R 5 2 6 5 +--R - 320a b cosh(x) - 120a cosh(x) + 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 9 6 8 5 7 6 6 +--R 240a b cosh(x) + 336a cosh(x) - 800a b cosh(x) - 896a cosh(x) +--R + +--R 5 5 6 4 5 3 6 2 +--R 960a b cosh(x) + 800a cosh(x) - 480a b cosh(x) - 256a cosh(x) +--R + +--R 5 6 +--R 80a b cosh(x) + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 10 6 9 5 8 6 7 +--R 90a b cosh(x) + 144a cosh(x) - 370a b cosh(x) - 480a cosh(x) +--R + +--R 5 6 6 5 5 4 6 3 +--R 580a b cosh(x) + 576a cosh(x) - 420a b cosh(x) - 288a cosh(x) +--R + +--R 5 2 6 5 +--R 130a b cosh(x) + 48a cosh(x) - 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 11 6 10 5 9 6 8 +--R 20a b cosh(x) + 36a cosh(x) - 100a b cosh(x) - 148a cosh(x) +--R + +--R 5 7 6 6 5 5 6 4 +--R 200a b cosh(x) + 232a cosh(x) - 200a b cosh(x) - 168a cosh(x) +--R + +--R 5 3 6 2 5 6 +--R 100a b cosh(x) + 52a cosh(x) - 20a b cosh(x) - 4a +--R * +--R sinh(x) +--R + +--R 5 12 6 11 5 10 6 9 +--R 2a b cosh(x) + 4a cosh(x) - 12a b cosh(x) - 20a cosh(x) +--R + +--R 5 8 6 7 5 6 6 5 +--R 30a b cosh(x) + 40a cosh(x) - 40a b cosh(x) - 40a cosh(x) +--R + +--R 5 4 6 3 5 2 6 5 +--R 30a b cosh(x) + 20a cosh(x) - 12a b cosh(x) - 4a cosh(x) + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 2 2 4 2 10 +--R (- 4a b cosh(x) + 4a b )sinh(x) +--R + +--R 4 2 3 5 2 4 2 5 9 +--R (- 40a b cosh(x) - 8a b cosh(x) + 40a b cosh(x) + 8a b)sinh(x) +--R + +--R 4 2 4 5 3 4 2 2 +--R - 180a b cosh(x) - 72a b cosh(x) + 200a b cosh(x) +--R + +--R 5 4 2 +--R 72a b cosh(x) - 20a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 5 5 4 4 2 3 +--R - 480a b cosh(x) - 288a b cosh(x) + 640a b cosh(x) +--R + +--R 5 2 4 2 5 +--R 320a b cosh(x) - 160a b cosh(x) - 32a b +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 6 5 5 4 2 4 +--R - 840a b cosh(x) - 672a b cosh(x) + 1400a b cosh(x) +--R + +--R 5 3 4 2 2 5 4 2 +--R 896a b cosh(x) - 600a b cosh(x) - 224a b cosh(x) + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 7 5 6 4 2 5 +--R - 1008a b cosh(x) - 1008a b cosh(x) + 2128a b cosh(x) +--R + +--R 5 4 4 2 3 5 2 +--R 1680a b cosh(x) - 1360a b cosh(x) - 720a b cosh(x) +--R + +--R 4 2 5 +--R 240a b cosh(x) + 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 8 5 7 4 2 6 +--R - 840a b cosh(x) - 1008a b cosh(x) + 2240a b cosh(x) +--R + +--R 5 5 4 2 4 5 3 +--R 2128a b cosh(x) - 2000a b cosh(x) - 1360a b cosh(x) +--R + +--R 4 2 2 5 4 2 +--R 640a b cosh(x) + 240a b cosh(x) - 40a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 9 5 8 4 2 7 +--R - 480a b cosh(x) - 672a b cosh(x) + 1600a b cosh(x) +--R + +--R 5 6 4 2 5 5 4 +--R 1792a b cosh(x) - 1920a b cosh(x) - 1600a b cosh(x) +--R + +--R 4 2 3 5 2 4 2 5 +--R 960a b cosh(x) + 512a b cosh(x) - 160a b cosh(x) - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 10 5 9 4 2 8 +--R - 180a b cosh(x) - 288a b cosh(x) + 740a b cosh(x) +--R + +--R 5 7 4 2 6 5 5 +--R 960a b cosh(x) - 1160a b cosh(x) - 1152a b cosh(x) +--R + +--R 4 2 4 5 3 4 2 2 +--R 840a b cosh(x) + 576a b cosh(x) - 260a b cosh(x) +--R + +--R 5 4 2 +--R - 96a b cosh(x) + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 11 5 10 4 2 9 +--R - 40a b cosh(x) - 72a b cosh(x) + 200a b cosh(x) +--R + +--R 5 8 4 2 7 5 6 +--R 296a b cosh(x) - 400a b cosh(x) - 464a b cosh(x) +--R + +--R 4 2 5 5 4 4 2 3 +--R 400a b cosh(x) + 336a b cosh(x) - 200a b cosh(x) +--R + +--R 5 2 4 2 5 +--R - 104a b cosh(x) + 40a b cosh(x) + 8a b +--R * +--R sinh(x) +--R + +--R 4 2 12 5 11 4 2 10 5 9 +--R - 4a b cosh(x) - 8a b cosh(x) + 24a b cosh(x) + 40a b cosh(x) +--R + +--R 4 2 8 5 7 4 2 6 5 5 +--R - 60a b cosh(x) - 80a b cosh(x) + 80a b cosh(x) + 80a b cosh(x) +--R + +--R 4 2 4 5 3 4 2 2 5 +--R - 60a b cosh(x) - 40a b cosh(x) + 24a b cosh(x) + 8a b cosh(x) +--R + +--R 4 2 +--R - 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 2 5 10 +--R (- 2a b cosh(x) + 2a b)sinh(x) +--R + +--R 5 3 6 2 5 6 9 +--R (- 20a b cosh(x) - 4a cosh(x) + 20a b cosh(x) + 4a )sinh(x) +--R + +--R 5 4 6 3 5 2 6 +--R - 90a b cosh(x) - 36a cosh(x) + 100a b cosh(x) + 36a cosh(x) +--R + +--R 5 +--R - 10a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 5 3 6 2 +--R - 240a b cosh(x) - 144a cosh(x) + 320a b cosh(x) + 160a cosh(x) +--R + +--R 5 6 +--R - 80a b cosh(x) - 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 6 6 5 5 4 6 3 +--R - 420a b cosh(x) - 336a cosh(x) + 700a b cosh(x) + 448a cosh(x) +--R + +--R 5 2 6 5 +--R - 300a b cosh(x) - 112a cosh(x) + 20a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 7 6 6 5 5 6 4 +--R - 504a b cosh(x) - 504a cosh(x) + 1064a b cosh(x) + 840a cosh(x) +--R + +--R 5 3 6 2 5 6 +--R - 680a b cosh(x) - 360a cosh(x) + 120a b cosh(x) + 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 8 6 7 5 6 6 5 +--R - 420a b cosh(x) - 504a cosh(x) + 1120a b cosh(x) + 1064a cosh(x) +--R + +--R 5 4 6 3 5 2 6 +--R - 1000a b cosh(x) - 680a cosh(x) + 320a b cosh(x) + 120a cosh(x) +--R + +--R 5 +--R - 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 9 6 8 5 7 6 6 +--R - 240a b cosh(x) - 336a cosh(x) + 800a b cosh(x) + 896a cosh(x) +--R + +--R 5 5 6 4 5 3 6 2 +--R - 960a b cosh(x) - 800a cosh(x) + 480a b cosh(x) + 256a cosh(x) +--R + +--R 5 6 +--R - 80a b cosh(x) - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 10 6 9 5 8 6 7 +--R - 90a b cosh(x) - 144a cosh(x) + 370a b cosh(x) + 480a cosh(x) +--R + +--R 5 6 6 5 5 4 6 3 +--R - 580a b cosh(x) - 576a cosh(x) + 420a b cosh(x) + 288a cosh(x) +--R + +--R 5 2 6 5 +--R - 130a b cosh(x) - 48a cosh(x) + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 11 6 10 5 9 6 8 +--R - 20a b cosh(x) - 36a cosh(x) + 100a b cosh(x) + 148a cosh(x) +--R + +--R 5 7 6 6 5 5 6 4 +--R - 200a b cosh(x) - 232a cosh(x) + 200a b cosh(x) + 168a cosh(x) +--R + +--R 5 3 6 2 5 6 +--R - 100a b cosh(x) - 52a cosh(x) + 20a b cosh(x) + 4a +--R * +--R sinh(x) +--R + +--R 5 12 6 11 5 10 6 9 +--R - 2a b cosh(x) - 4a cosh(x) + 12a b cosh(x) + 20a cosh(x) +--R + +--R 5 8 6 7 5 6 6 5 +--R - 30a b cosh(x) - 40a cosh(x) + 40a b cosh(x) + 40a cosh(x) +--R + +--R 5 4 6 3 5 2 6 5 +--R - 30a b cosh(x) - 20a cosh(x) + 12a b cosh(x) + 4a cosh(x) - 2a b +--R Type: Expression Integer +--E 55 + +--S 56 of 530 +t0511:= coth(x)/(%i+sinh(x)) +--R +--R +--R coth(x) +--R (55) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 56 + +--S 57 of 530 +r0511:= -%i*log(sinh(x))+%i*log(%i+sinh(x)) +--R +--R +--R (56) %i log(sinh(x) + %i) - %i log(sinh(x)) +--R Type: Expression Complex Integer +--E 57 + +--S 58 of 530 +a0511:= integrate(t0511,x) +--R +--R +--R 2sinh(x) +--R (57) 2%i log(sinh(x) + cosh(x) + %i) - %i log(- -----------------) +--R sinh(x) - cosh(x) +--R Type: Union(Expression Complex Integer,...) +--E 58 + +--S 59 of 530 +m0511:= a0511-r0511 +--R +--R +--R (58) +--R 2%i log(sinh(x) + cosh(x) + %i) - %i log(sinh(x) + %i) + %i log(sinh(x)) +--R + +--R 2sinh(x) +--R - %i log(- -----------------) +--R sinh(x) - cosh(x) +--R Type: Expression Complex Integer +--E 59 + +--S 60 of 530 +d0511:= D(m0511,x) +--R +--R +--R 2 2 +--R %i sinh(x) - %i cosh(x) + %i +--R (59) -------------------------------------------------- +--R 2 +--R sinh(x) + (cosh(x) + 2%i)sinh(x) + %i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 60 + +--S 61 of 530 +t0512:= coth(x)^2/(%i+sinh(x)) +--R +--R +--R 2 +--R coth(x) +--R (60) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 61 + +--S 62 of 530 +r0512:= -acoth(cosh(x))+%i*coth(x) +--R +--R +--R (61) - acoth(cosh(x)) + %i coth(x) +--R Type: Expression Complex Integer +--E 62 + +--S 63 of 530 +a0512:= integrate(t0512,x) +--R +--R +--R (62) +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) + 1)log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)log(sinh(x) + cosh(x) - 1) + 2%i +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R Type: Union(Expression Complex Integer,...) +--E 63 + +--S 64 of 530 +m0512:= a0512-r0512 +--R +--R +--R (63) +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) + 1)log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)acoth(cosh(x)) +--R + +--R 2 +--R - %i coth(x)sinh(x) - 2%i cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- %i cosh(x) + %i)coth(x) + 2%i +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R Type: Expression Complex Integer +--E 64 + +--S 65 of 530 +d0512:= D(m0512,x) +--R +--R +--R (64) +--R 5 +--R - sinh(x) +--R + +--R 2 2 2 4 +--R ((%i cosh(x) - %i)coth(x) - %i cosh(x) - 4cosh(x) + %i)sinh(x) +--R + +--R 3 2 3 2 +--R (4%i cosh(x) - 4%i cosh(x))coth(x) - 4%i cosh(x) - 4cosh(x) +--R + +--R 4%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (6%i cosh(x) - 8%i cosh(x) + 2%i)coth(x) - 6%i cosh(x) +--R + +--R 3 2 +--R 2cosh(x) + 4%i cosh(x) - 2cosh(x) + 2%i +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (4%i cosh(x) - 8%i cosh(x) + 4%i cosh(x))coth(x) - 4%i cosh(x) +--R + +--R 4 2 +--R 5cosh(x) - 6cosh(x) + 4%i cosh(x) + 1 +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (%i cosh(x) - 3%i cosh(x) + 3%i cosh(x) - %i)coth(x) - %i cosh(x) +--R + +--R 5 4 3 2 +--R 2cosh(x) - %i cosh(x) - 4cosh(x) + %i cosh(x) + 2cosh(x) + %i +--R / +--R 2 4 3 3 +--R (cosh(x) - 1)sinh(x) + (4cosh(x) - 4cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (6cosh(x) - 8cosh(x) + 2)sinh(x) +--R + +--R 5 3 6 4 +--R (4cosh(x) - 8cosh(x) + 4cosh(x))sinh(x) + cosh(x) - 3cosh(x) +--R + +--R 2 +--R 3cosh(x) - 1 +--R Type: Expression Complex Integer +--E 65 + +--S 66 of 530 +t0513:= coth(x)^3/(%i+sinh(x)) +--R +--R +--R 3 +--R coth(x) +--R (65) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 66 + +--S 67 of 530 +r0513:= -csch(x)+1/2*%i*csch(x)^2 +--R +--R +--R 1 2 +--R (66) - %i csch(x) - csch(x) +--R 2 +--R Type: Expression Complex Fraction Integer +--E 67 + +--S 68 of 530 +a0513:= integrate(t0513,x) +--R +--R +--R (67) +--R 2 2 +--R - 2sinh(x) + (- 4cosh(x) + 2%i)sinh(x) - 2cosh(x) + 2%i cosh(x) + 2 +--R ------------------------------------------------------------------------- +--R 3 2 2 3 +--R sinh(x) + 3cosh(x)sinh(x) + (3cosh(x) - 3)sinh(x) + cosh(x) - cosh(x) +--R Type: Union(Expression Complex Integer,...) +--E 68 + +--S 69 of 530 +m0513:= a0513-r0513 +--R +--R +--R (68) +--R 1 2 3 +--R (- - %i csch(x) + csch(x))sinh(x) +--R 2 +--R + +--R 3 2 2 +--R (- - %i cosh(x)csch(x) + 3cosh(x)csch(x) - 2)sinh(x) +--R 2 +--R + +--R 3 2 3 2 2 +--R (- - %i cosh(x) + - %i)csch(x) + (3cosh(x) - 3)csch(x) - 4cosh(x) +--R 2 2 +--R + +--R 2%i +--R * +--R sinh(x) +--R + +--R 1 3 1 2 3 +--R (- - %i cosh(x) + - %i cosh(x))csch(x) + (cosh(x) - cosh(x))csch(x) +--R 2 2 +--R + +--R 2 +--R - 2cosh(x) + 2%i cosh(x) + 2 +--R / +--R 3 2 2 3 +--R sinh(x) + 3cosh(x)sinh(x) + (3cosh(x) - 3)sinh(x) + cosh(x) - cosh(x) +--R Type: Expression Complex Fraction Integer +--E 69 + +--S 70 of 530 +d0513:= D(m0513,x) +--R +--R +--R (69) +--R 2 6 +--R (%i coth(x)csch(x) - coth(x)csch(x))sinh(x) +--R + +--R 2 5 +--R (6%i cosh(x)coth(x)csch(x) - 6cosh(x)coth(x)csch(x) + 2)sinh(x) +--R + +--R 2 2 +--R (15%i cosh(x) - 6%i)coth(x)csch(x) +--R + +--R 2 +--R (- 15cosh(x) + 6)coth(x)csch(x) + 10cosh(x) - 4%i +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 +--R (20%i cosh(x) - 20%i cosh(x))coth(x)csch(x) +--R + +--R 3 2 +--R (- 20cosh(x) + 20cosh(x))coth(x)csch(x) + 20cosh(x) - 16%i cosh(x) +--R + +--R 4 +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 +--R (15%i cosh(x) - 24%i cosh(x) + 9%i)coth(x)csch(x) +--R + +--R 4 2 3 +--R (- 15cosh(x) + 24cosh(x) - 9)coth(x)csch(x) + 20cosh(x) +--R + +--R 2 +--R - 24%i cosh(x) - 4%i +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 +--R (6%i cosh(x) - 12%i cosh(x) + 6%i cosh(x))coth(x)csch(x) +--R + +--R 5 3 4 +--R (- 6cosh(x) + 12cosh(x) - 6cosh(x))coth(x)csch(x) + 10cosh(x) +--R + +--R 3 2 +--R - 16%i cosh(x) - 12cosh(x) + 2 +--R * +--R sinh(x) +--R + +--R 6 4 2 2 +--R (%i cosh(x) - 2%i cosh(x) + %i cosh(x) )coth(x)csch(x) +--R + +--R 6 4 2 5 +--R (- cosh(x) + 2cosh(x) - cosh(x) )coth(x)csch(x) + 2cosh(x) +--R + +--R 4 3 2 +--R - 4%i cosh(x) - 8cosh(x) + 4%i cosh(x) + 6cosh(x) +--R / +--R 6 5 2 4 +--R sinh(x) + 6cosh(x)sinh(x) + (15cosh(x) - 6)sinh(x) +--R + +--R 3 3 4 2 2 +--R (20cosh(x) - 20cosh(x))sinh(x) + (15cosh(x) - 24cosh(x) + 9)sinh(x) +--R + +--R 5 3 6 4 +--R (6cosh(x) - 12cosh(x) + 6cosh(x))sinh(x) + cosh(x) - 2cosh(x) +--R + +--R 2 +--R cosh(x) +--R Type: Expression Complex Fraction Integer +--E 70 + +--S 71 of 530 +t0514:= coth(x)^4/(%i+sinh(x)) +--R +--R +--R 4 +--R coth(x) +--R (70) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 71 + +--S 72 of 530 +r0514:= -1/2*acoth(cosh(x))+1/3*%i*coth(x)^3-1/2*coth(x)*csch(x) +--R +--R +--R 1 1 1 3 +--R (71) - - acoth(cosh(x)) - - coth(x)csch(x) + - %i coth(x) +--R 2 2 3 +--R Type: Expression Complex Fraction Integer +--E 72 + +--S 73 of 530 +a0514:= integrate(t0514,x) +--R +--R +--R (72) +--R 6 5 2 4 +--R - 3sinh(x) - 18cosh(x)sinh(x) + (- 45cosh(x) + 9)sinh(x) +--R + +--R 3 3 +--R (- 60cosh(x) + 36cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 45cosh(x) + 54cosh(x) - 9)sinh(x) +--R + +--R 5 3 6 +--R (- 18cosh(x) + 36cosh(x) - 18cosh(x))sinh(x) - 3cosh(x) +--R + +--R 4 2 +--R 9cosh(x) - 9cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 6 5 2 4 +--R 3sinh(x) + 18cosh(x)sinh(x) + (45cosh(x) - 9)sinh(x) +--R + +--R 3 3 +--R (60cosh(x) - 36cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (45cosh(x) - 54cosh(x) + 9)sinh(x) +--R + +--R 5 3 6 4 +--R (18cosh(x) - 36cosh(x) + 18cosh(x))sinh(x) + 3cosh(x) - 9cosh(x) +--R + +--R 2 +--R 9cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 5 4 +--R - 6sinh(x) + (- 30cosh(x) + 12%i)sinh(x) +--R + +--R 2 3 +--R (- 60cosh(x) + 48%i cosh(x))sinh(x) +--R + +--R 3 2 2 +--R (- 60cosh(x) + 72%i cosh(x) )sinh(x) +--R + +--R 4 3 5 4 +--R (- 30cosh(x) + 48%i cosh(x) + 6)sinh(x) - 6cosh(x) + 12%i cosh(x) +--R + +--R 6cosh(x) + 4%i +--R / +--R 6 5 2 4 +--R 6sinh(x) + 36cosh(x)sinh(x) + (90cosh(x) - 18)sinh(x) +--R + +--R 3 3 +--R (120cosh(x) - 72cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (90cosh(x) - 108cosh(x) + 18)sinh(x) +--R + +--R 5 3 6 4 +--R (36cosh(x) - 72cosh(x) + 36cosh(x))sinh(x) + 6cosh(x) - 18cosh(x) +--R + +--R 2 +--R 18cosh(x) - 6 +--R Type: Union(Expression Complex Integer,...) +--E 73 + +--S 74 of 530 +m0514:= a0514-r0514 +--R +--R +--R (73) +--R 1 6 5 15 2 3 4 +--R - - sinh(x) - 3cosh(x)sinh(x) + (- -- cosh(x) + -)sinh(x) +--R 2 2 2 +--R + +--R 3 3 +--R (- 10cosh(x) + 6cosh(x))sinh(x) +--R + +--R 15 4 2 3 2 +--R (- -- cosh(x) + 9cosh(x) - -)sinh(x) +--R 2 2 +--R + +--R 5 3 1 6 3 4 +--R (- 3cosh(x) + 6cosh(x) - 3cosh(x))sinh(x) - - cosh(x) + - cosh(x) +--R 2 2 +--R + +--R 3 2 1 +--R - - cosh(x) + - +--R 2 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 1 6 5 15 2 3 4 +--R - sinh(x) + 3cosh(x)sinh(x) + (-- cosh(x) - -)sinh(x) +--R 2 2 2 +--R + +--R 3 3 +--R (10cosh(x) - 6cosh(x))sinh(x) +--R + +--R 15 4 2 3 2 +--R (-- cosh(x) - 9cosh(x) + -)sinh(x) +--R 2 2 +--R + +--R 5 3 1 6 3 4 +--R (3cosh(x) - 6cosh(x) + 3cosh(x))sinh(x) + - cosh(x) - - cosh(x) +--R 2 2 +--R + +--R 3 2 1 +--R - cosh(x) - - +--R 2 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 1 6 5 15 2 3 4 +--R - sinh(x) + 3cosh(x)sinh(x) + (-- cosh(x) - -)sinh(x) +--R 2 2 2 +--R + +--R 3 3 +--R (10cosh(x) - 6cosh(x))sinh(x) +--R + +--R 15 4 2 3 2 +--R (-- cosh(x) - 9cosh(x) + -)sinh(x) +--R 2 2 +--R + +--R 5 3 1 6 3 4 +--R (3cosh(x) - 6cosh(x) + 3cosh(x))sinh(x) + - cosh(x) - - cosh(x) +--R 2 2 +--R + +--R 3 2 1 +--R - cosh(x) - - +--R 2 2 +--R * +--R acoth(cosh(x)) +--R + +--R 1 1 3 6 +--R (- coth(x)csch(x) - - %i coth(x) )sinh(x) +--R 2 3 +--R + +--R 3 5 +--R (3cosh(x)coth(x)csch(x) - 2%i cosh(x)coth(x) - 1)sinh(x) +--R + +--R 15 2 3 2 3 +--R (-- cosh(x) - -)coth(x)csch(x) + (- 5%i cosh(x) + %i)coth(x) +--R 2 2 +--R + +--R - 5cosh(x) + 2%i +--R * +--R 4 +--R sinh(x) +--R + +--R 3 +--R (10cosh(x) - 6cosh(x))coth(x)csch(x) +--R + +--R 20 3 3 2 +--R (- -- %i cosh(x) + 4%i cosh(x))coth(x) - 10cosh(x) + 8%i cosh(x) +--R 3 +--R * +--R 3 +--R sinh(x) +--R + +--R 15 4 2 3 +--R (-- cosh(x) - 9cosh(x) + -)coth(x)csch(x) +--R 2 2 +--R + +--R 4 2 3 3 +--R (- 5%i cosh(x) + 6%i cosh(x) - %i)coth(x) - 10cosh(x) +--R + +--R 2 +--R 12%i cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R (3cosh(x) - 6cosh(x) + 3cosh(x))coth(x)csch(x) +--R + +--R 5 3 3 4 +--R (- 2%i cosh(x) + 4%i cosh(x) - 2%i cosh(x))coth(x) - 5cosh(x) +--R + +--R 3 +--R 8%i cosh(x) + 1 +--R * +--R sinh(x) +--R + +--R 1 6 3 4 3 2 1 +--R (- cosh(x) - - cosh(x) + - cosh(x) - -)coth(x)csch(x) +--R 2 2 2 2 +--R + +--R 1 6 4 2 1 3 5 +--R (- - %i cosh(x) + %i cosh(x) - %i cosh(x) + - %i)coth(x) - cosh(x) +--R 3 3 +--R + +--R 4 2 +--R 2%i cosh(x) + cosh(x) + - %i +--R 3 +--R / +--R 6 5 2 4 +--R sinh(x) + 6cosh(x)sinh(x) + (15cosh(x) - 3)sinh(x) +--R + +--R 3 3 4 2 2 +--R (20cosh(x) - 12cosh(x))sinh(x) + (15cosh(x) - 18cosh(x) + 3)sinh(x) +--R + +--R 5 3 6 4 +--R (6cosh(x) - 12cosh(x) + 6cosh(x))sinh(x) + cosh(x) - 3cosh(x) +--R + +--R 2 +--R 3cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 74 + +--S 75 of 530 +d0514:= D(m0514,x) +--R +--R +--R (74) +--R 1 9 +--R - - sinh(x) +--R 2 +--R + +--R 2 2 1 2 1 +--R ((- cosh(x) + 1)coth(x) + - cosh(x) - -)csch(x) +--R 2 2 +--R + +--R 2 4 2 2 +--R (%i cosh(x) - %i)coth(x) + (- %i cosh(x) + %i)coth(x) - 4cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 3 +--R ((- 8cosh(x) + 8cosh(x))coth(x) + 4cosh(x) - 4cosh(x))csch(x) +--R + +--R 3 4 +--R (8%i cosh(x) - 8%i cosh(x))coth(x) +--R + +--R 3 2 2 +--R (- 8%i cosh(x) + 8%i cosh(x))coth(x) - 12cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 2 4 2 +--R (- 28cosh(x) + 32cosh(x) - 4)coth(x) + 14cosh(x) - 16cosh(x) +--R + +--R 2 +--R * +--R csch(x) +--R + +--R 4 2 4 +--R (28%i cosh(x) - 32%i cosh(x) + 4%i)coth(x) +--R + +--R 4 2 2 3 +--R (- 28%i cosh(x) + 32%i cosh(x) - 4%i)coth(x) - 14cosh(x) +--R + +--R 2 +--R - 4%i cosh(x) - 2cosh(x) + 4%i +--R * +--R 6 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 56cosh(x) + 80cosh(x) - 24cosh(x))coth(x) + 28cosh(x) +--R + +--R 3 +--R - 40cosh(x) + 12cosh(x) +--R * +--R csch(x) +--R + +--R 5 3 4 +--R (56%i cosh(x) - 80%i cosh(x) + 24%i cosh(x))coth(x) +--R + +--R 5 3 2 4 +--R (- 56%i cosh(x) + 80%i cosh(x) - 24%i cosh(x))coth(x) + 7cosh(x) +--R + +--R 3 2 +--R - 24%i cosh(x) - 10cosh(x) + 24%i cosh(x) - 5 +--R * +--R 5 +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- 70cosh(x) + 130cosh(x) - 66cosh(x) + 6)coth(x) +--R + +--R 6 4 2 +--R 35cosh(x) - 65cosh(x) + 33cosh(x) - 3 +--R * +--R csch(x) +--R + +--R 6 4 2 4 +--R (70%i cosh(x) - 130%i cosh(x) + 66%i cosh(x) - 6%i)coth(x) +--R + +--R 6 4 2 2 +--R (- 70%i cosh(x) + 130%i cosh(x) - 66%i cosh(x) + 6%i)coth(x) +--R + +--R 5 4 3 2 +--R 42cosh(x) - 60%i cosh(x) - 20cosh(x) + 52%i cosh(x) - 22cosh(x) +--R + +--R 8%i +--R * +--R 4 +--R sinh(x) +--R + +--R 7 5 3 2 +--R (- 56cosh(x) + 136cosh(x) - 104cosh(x) + 24cosh(x))coth(x) +--R + +--R 7 5 3 +--R 28cosh(x) - 68cosh(x) + 52cosh(x) - 12cosh(x) +--R * +--R csch(x) +--R + +--R 7 5 3 +--R (56%i cosh(x) - 136%i cosh(x) + 104%i cosh(x) - 24%i cosh(x)) +--R * +--R 4 +--R coth(x) +--R + +--R 7 5 3 +--R (- 56%i cosh(x) + 136%i cosh(x) - 104%i cosh(x) + 24%i cosh(x)) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 2 +--R 56cosh(x) - 80%i cosh(x) - 20cosh(x) + 48%i cosh(x) - 40cosh(x) +--R + +--R 32%i cosh(x) + 4 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 6 4 2 2 +--R (- 28cosh(x) + 88cosh(x) - 96cosh(x) + 40cosh(x) - 4)coth(x) +--R + +--R 8 6 4 2 +--R 14cosh(x) - 44cosh(x) + 48cosh(x) - 20cosh(x) + 2 +--R * +--R csch(x) +--R + +--R 8 6 4 2 +--R 28%i cosh(x) - 88%i cosh(x) + 96%i cosh(x) - 40%i cosh(x) +--R + +--R 4%i +--R * +--R 4 +--R coth(x) +--R + +--R 8 6 4 2 +--R - 28%i cosh(x) + 88%i cosh(x) - 96%i cosh(x) + 40%i cosh(x) +--R + +--R - 4%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 3 +--R 38cosh(x) - 60%i cosh(x) - 10cosh(x) + 12%i cosh(x) - 38cosh(x) +--R + +--R 2 +--R 44%i cosh(x) + 10cosh(x) + 4%i +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (- 8cosh(x) + 32cosh(x) - 48cosh(x) + 32cosh(x) - 8cosh(x)) +--R * +--R 2 +--R coth(x) +--R + +--R 9 7 5 3 +--R 4cosh(x) - 16cosh(x) + 24cosh(x) - 16cosh(x) + 4cosh(x) +--R * +--R csch(x) +--R + +--R 9 7 5 3 +--R 8%i cosh(x) - 32%i cosh(x) + 48%i cosh(x) - 32%i cosh(x) +--R + +--R 8%i cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 9 7 5 3 +--R - 8%i cosh(x) + 32%i cosh(x) - 48%i cosh(x) + 32%i cosh(x) +--R + +--R - 8%i cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 27 8 7 6 5 4 +--R -- cosh(x) - 24%i cosh(x) - 2cosh(x) - 8%i cosh(x) - 19cosh(x) +--R 2 +--R + +--R 3 2 3 +--R 24%i cosh(x) + 6cosh(x) + 8%i cosh(x) + - +--R 2 +--R * +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R (- cosh(x) + 5cosh(x) - 10cosh(x) + 10cosh(x) - 5cosh(x) + 1) +--R * +--R 2 +--R coth(x) +--R + +--R 1 10 5 8 6 4 5 2 1 +--R - cosh(x) - - cosh(x) + 5cosh(x) - 5cosh(x) + - cosh(x) - - +--R 2 2 2 2 +--R * +--R csch(x) +--R + +--R 10 8 6 4 +--R %i cosh(x) - 5%i cosh(x) + 10%i cosh(x) - 10%i cosh(x) +--R + +--R 2 +--R 5%i cosh(x) - %i +--R * +--R 4 +--R coth(x) +--R + +--R 10 8 6 4 +--R - %i cosh(x) + 5%i cosh(x) - 10%i cosh(x) + 10%i cosh(x) +--R + +--R 2 +--R - 5%i cosh(x) + %i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 6 5 4 +--R 2cosh(x) - 4%i cosh(x) - 4%i cosh(x) - 4cosh(x) + 4%i cosh(x) +--R + +--R 2 +--R 4%i cosh(x) + 2cosh(x) +--R / +--R 2 8 3 7 +--R (cosh(x) - 1)sinh(x) + (8cosh(x) - 8cosh(x))sinh(x) +--R + +--R 4 2 6 +--R (28cosh(x) - 32cosh(x) + 4)sinh(x) +--R + +--R 5 3 5 +--R (56cosh(x) - 80cosh(x) + 24cosh(x))sinh(x) +--R + +--R 6 4 2 4 +--R (70cosh(x) - 130cosh(x) + 66cosh(x) - 6)sinh(x) +--R + +--R 7 5 3 3 +--R (56cosh(x) - 136cosh(x) + 104cosh(x) - 24cosh(x))sinh(x) +--R + +--R 8 6 4 2 2 +--R (28cosh(x) - 88cosh(x) + 96cosh(x) - 40cosh(x) + 4)sinh(x) +--R + +--R 9 7 5 3 +--R (8cosh(x) - 32cosh(x) + 48cosh(x) - 32cosh(x) + 8cosh(x))sinh(x) +--R + +--R 10 8 6 4 2 +--R cosh(x) - 5cosh(x) + 10cosh(x) - 10cosh(x) + 5cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 75 + +--S 76 of 530 +t0515:= sech(x)/(a+b*sinh(x)) +--R +--R +--R sech(x) +--R (75) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 76 + +--S 77 of 530 +r0515:= 1/2*(2*a*atan(sinh(x))-b*log(cosh(x)^2)+2*b*log(a+b*sinh(x)))/(a^2+b^2) +--R +--R +--R 2 +--R 2b log(b sinh(x) + a) - b log(cosh(x) ) + 2a atan(sinh(x)) +--R (76) ---------------------------------------------------------- +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 77 + +--S 78 of 530 +a0515:= integrate(t0515,x) +--R +--R +--R (77) +--R 2cosh(x) - 2b sinh(x) - 2a +--R - b log(- -----------------) + b log(-----------------) +--R sinh(x) - cosh(x) sinh(x) - cosh(x) +--R + +--R 2a atan(sinh(x) + cosh(x)) +--R / +--R 2 2 +--R b + a +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 530 +m0515:= a0515-r0515 +--R +--R +--R (78) +--R 2 2cosh(x) +--R - 2b log(b sinh(x) + a) + b log(cosh(x) ) - 2b log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2b sinh(x) - 2a +--R 2b log(-----------------) + 4a atan(sinh(x) + cosh(x)) - 2a atan(sinh(x)) +--R sinh(x) - cosh(x) +--R / +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 79 + +--S 80 of 530 +d0515:= D(m0515,x) +--R +--R +--R (79) +--R 3 2 2 +--R 2a sinh(x) + a cosh(x)sinh(x) + (- 2a cosh(x) + 2a)sinh(x) +--R + +--R 3 +--R - a cosh(x) + a cosh(x) +--R / +--R 2 2 4 2 2 3 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R ((b + a )cosh(x) + 2b + 2a )sinh(x) + (2b + 2a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b + a )cosh(x) + b + a +--R Type: Expression Integer +--E 80 + +--S 81 of 530 +t0516:= sech(x)^2/(a+b*sinh(x)) +--R +--R +--R 2 +--R sech(x) +--R (80) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 81 + +--S 82 of 530 +r0516:= -2*b^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)+_ + b*sech(x)/(a^2+b^2)+a*tanh(x)/(a^2+b^2) +--R +--R +--R x +--R a tanh(-) - b +-------+ +--R 2 2 | 2 2 +--R 2b atanh(-------------) + (a tanh(x) + b sech(x))\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R (81) ----------------------------------------------------------- +--R +-------+ +--R 2 2 | 2 2 +--R (b + a )\|b + a +--R Type: Expression Integer +--E 82 + +--S 83 of 530 +a0516:= integrate(t0516,x) +--R +--R +--R (82) +--R 2 2 2 2 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R | 2 2 +--R (2b sinh(x) + 2b cosh(x) - 2a)\|b + a +--R / +--R 2 2 2 2 2 2 2 2 2 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) + (b + a )cosh(x) + b +--R + +--R 2 +--R a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 530 +m0516:= a0516-r0516 +--R +--R +--R (83) +--R 2 2 2 2 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 2 2 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) - 2b ) +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 +--R (- a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) - a)tanh(x) +--R + +--R 2 +--R - b sech(x)sinh(x) + (- 2b cosh(x)sech(x) + 2b)sinh(x) +--R + +--R 2 +--R (- b cosh(x) - b)sech(x) + 2b cosh(x) - 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 2 2 2 2 2 2 2 2 2 +--R (b + a )sinh(x) + (2b + 2a )cosh(x)sinh(x) + (b + a )cosh(x) + b +--R + +--R 2 +--R a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 84 + +--S 85 of 530 +d0516:= D(m0516,x) +--R +--R +--R (84) +--R 2 6 2 3 5 +--R a b sinh(x) + (6a b cosh(x) + 2a )sinh(x) +--R + +--R 2 2 3 2 4 +--R (15a b cosh(x) + 10a cosh(x) + a b)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (20a b cosh(x) + 20a cosh(x) + 4a b cosh(x) + 4a )sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R 15a b cosh(x) + 20a cosh(x) + 6a b cosh(x) + 12a cosh(x) +--R + +--R 2 +--R - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 6a b cosh(x) + 10a cosh(x) + 4a b cosh(x) + 12a cosh(x) +--R + +--R 2 3 +--R - 2a b cosh(x) + 2a +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R a b cosh(x) + 2a cosh(x) + a b cosh(x) + 4a cosh(x) +--R + +--R 2 2 3 2 +--R - a b cosh(x) + 2a cosh(x) - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 2 5 +--R - 2a b sinh(x) + (- 12a b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 4 +--R (- 30a b cosh(x) - 20a b cosh(x) - 2a b )sinh(x) +--R + +--R 2 3 2 2 2 2 3 +--R (- 40a b cosh(x) - 40a b cosh(x) - 8a b cosh(x) - 8a b)sinh(x) +--R + +--R 2 4 2 3 2 2 +--R - 30a b cosh(x) - 40a b cosh(x) - 12a b cosh(x) +--R + +--R 2 2 +--R - 24a b cosh(x) + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R - 12a b cosh(x) - 20a b cosh(x) - 8a b cosh(x) +--R + +--R 2 2 2 2 +--R - 24a b cosh(x) + 4a b cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 2a b cosh(x) - 4a b cosh(x) - 2a b cosh(x) - 8a b cosh(x) +--R + +--R 2 2 2 2 +--R 2a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 6 2 3 5 +--R - a b sinh(x) + (- 6a b cosh(x) - 2a )sinh(x) +--R + +--R 2 2 3 2 4 +--R (- 15a b cosh(x) - 10a cosh(x) - a b)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (- 20a b cosh(x) - 20a cosh(x) - 4a b cosh(x) - 4a )sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R - 15a b cosh(x) - 20a cosh(x) - 6a b cosh(x) - 12a cosh(x) +--R + +--R 2 +--R a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R - 6a b cosh(x) - 10a cosh(x) - 4a b cosh(x) - 12a cosh(x) +--R + +--R 2 3 +--R 2a b cosh(x) - 2a +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R - a b cosh(x) - 2a cosh(x) - a b cosh(x) - 4a cosh(x) +--R + +--R 2 2 3 2 +--R a b cosh(x) - 2a cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 2 5 +--R a b sech(x)sinh(x) + (6a b cosh(x) + 2a b)sech(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (15a b cosh(x) + 10a b cosh(x) + a b )sech(x)sinh(x) +--R + +--R 2 3 2 2 2 2 +--R (20a b cosh(x) + 20a b cosh(x) + 4a b cosh(x) + 4a b)sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 15a b cosh(x) + 20a b cosh(x) + 6a b cosh(x) +--R + +--R 2 2 +--R 12a b cosh(x) - a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 6a b cosh(x) + 10a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 2 2 +--R 12a b cosh(x) - 2a b cosh(x) + 2a b +--R * +--R sech(x)sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R a b cosh(x) + 2a b cosh(x) + a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 2 2 +--R - a b cosh(x) + 2a b cosh(x) - a b +--R * +--R sech(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 6 3 2 5 +--R - 2b sech(x)sinh(x) + (- 12b cosh(x) - 4a b )sech(x)sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 30b cosh(x) - 20a b cosh(x) - 2b )sech(x)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R (- 40b cosh(x) - 40a b cosh(x) - 8b cosh(x) - 8a b )sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 +--R - 30b cosh(x) - 40a b cosh(x) - 12b cosh(x) +--R + +--R 2 3 +--R - 24a b cosh(x) + 2b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 3 5 2 4 3 3 +--R - 12b cosh(x) - 20a b cosh(x) - 8b cosh(x) +--R + +--R 2 2 3 2 +--R - 24a b cosh(x) + 4b cosh(x) - 4a b +--R * +--R sech(x)sinh(x) +--R + +--R 3 6 2 5 3 4 2 3 +--R - 2b cosh(x) - 4a b cosh(x) - 2b cosh(x) - 8a b cosh(x) +--R + +--R 3 2 2 3 +--R 2b cosh(x) - 4a b cosh(x) + 2b +--R * +--R sech(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 6 2 2 5 +--R - a b sech(x)sinh(x) + (- 6a b cosh(x) - 2a b)sech(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (- 15a b cosh(x) - 10a b cosh(x) - a b )sech(x)sinh(x) +--R + +--R 2 3 2 2 2 2 +--R (- 20a b cosh(x) - 20a b cosh(x) - 4a b cosh(x) - 4a b)sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 2 +--R - 15a b cosh(x) - 20a b cosh(x) - 6a b cosh(x) - 12a b cosh(x) +--R + +--R 2 +--R a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 6a b cosh(x) - 10a b cosh(x) - 4a b cosh(x) - 12a b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - 2a b +--R * +--R sech(x)sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - a b cosh(x) - 2a b cosh(x) - a b cosh(x) - 4a b cosh(x) +--R + +--R 2 2 2 2 +--R a b cosh(x) - 2a b cosh(x) + a b +--R * +--R sech(x) +--R * +--R tanh(x) +--R + +--R 3 2 6 3 2 2 3 5 +--R (- b - a b)sinh(x) + ((- 6b - 6a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R ((- 15b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) - b - a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 20b - 20a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b - 4a b)cosh(x) + 4a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 15b - 15a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 6b - 6a b)cosh(x) + (12a b + 12a )cosh(x) + b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 6b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 4b - 4a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 2a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R (- b - a b)cosh(x) + (- 2a b - 2a )cosh(x) + (- b - a b)cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (4a b + 4a )cosh(x) + (b + a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 2 +--R b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 2 5 +--R 2a b sinh(x) + (12a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 4 +--R (30a b cosh(x) + 20a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (40a b cosh(x) + 40a b cosh(x) + 8a b cosh(x) - 16b - 8a b) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30a b cosh(x) + 40a b cosh(x) + 12a b cosh(x) +--R + +--R 3 2 2 +--R (- 48b - 24a b)cosh(x) - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 12a b cosh(x) + 20a b cosh(x) + 8a b cosh(x) +--R + +--R 3 2 2 2 2 +--R (- 48b - 24a b)cosh(x) - 4a b cosh(x) + 4a b +--R * +--R sinh(x) +--R + +--R 2 6 2 5 2 4 +--R 2a b cosh(x) + 4a b cosh(x) + 2a b cosh(x) +--R + +--R 3 2 3 2 2 2 2 +--R (- 16b - 8a b)cosh(x) - 2a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 6 3 2 2 3 5 +--R (b + a b)sinh(x) + ((6b + 6a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 4 +--R ((15b + 15a b)cosh(x) + (10a b + 10a )cosh(x) + b + a b)sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (20b + 20a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 4a b)cosh(x) - 4a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (15b + 15a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (6b + 6a b)cosh(x) + (- 12a b - 12a )cosh(x) - b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R (6b + 6a b)cosh(x) + (10a b + 10a )cosh(x) + (4b + 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 12a b - 12a )cosh(x) + (- 2b - 2a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R (b + a b)cosh(x) + (2a b + 2a )cosh(x) + (b + a b)cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (- 4a b - 4a )cosh(x) + (- b - a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 3 2 +--R - b - a b +--R / +--R 3 3 6 3 3 2 2 4 5 +--R (a b + a b)sinh(x) + ((6a b + 6a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R ((15a b + 15a b)cosh(x) + (10a b + 10a )cosh(x) + a b + a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (20a b + 20a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (4a b + 4a b)cosh(x) + 4a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (15a b + 15a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (6a b + 6a b)cosh(x) + (12a b + 12a )cosh(x) - a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (4a b + 4a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (- 2a b - 2a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 3 3 4 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (a b + a b)cosh(x) +--R + +--R 2 2 4 3 3 3 2 2 2 4 +--R (4a b + 4a )cosh(x) + (- a b - a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 3 3 +--R - a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 2 2 6 +--R (- 2b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 5 +--R ((- 12b - 12a b )cosh(x) - 4a b - 4a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 30b - 30a b )cosh(x) + (- 20a b - 20a b)cosh(x) - 2b +--R + +--R 2 2 +--R - 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 40b - 40a b )cosh(x) + (- 40a b - 40a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (- 8b - 8a b )cosh(x) - 8a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 30b - 30a b )cosh(x) + (- 40a b - 40a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 12b - 12a b )cosh(x) + (- 24a b - 24a b)cosh(x) + 2b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (- 12b - 12a b )cosh(x) + (- 20a b - 20a b)cosh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 8b - 8a b )cosh(x) + (- 24a b - 24a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (4b + 4a b )cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 2b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 2b - 2a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (2b + 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2b + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 3 6 3 3 2 2 4 5 +--R (- a b - a b)sinh(x) + ((- 6a b - 6a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R ((- 15a b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) - a b - a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 20a b - 20a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (- 4a b - 4a b)cosh(x) - 4a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 15a b - 15a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 6a b - 6a b)cosh(x) + (- 12a b - 12a )cosh(x) + a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 4a b - 4a b)cosh(x) + (- 12a b - 12a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (2a b + 2a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 3 3 4 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) + (- a b - a b)cosh(x) +--R + +--R 2 2 4 3 3 3 2 2 2 4 +--R (- 4a b - 4a )cosh(x) + (a b + a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 3 +--R a b + a b +--R Type: Expression Integer +--E 85 + +--S 86 of 530 +t0517:= sech(x)^3/(a+b*sinh(x)) +--R +--R +--R 3 +--R sech(x) +--R (85) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 86 + +--S 87 of 530 +r0517:= 1/2*(3*a*b^2*atan(sinh(x))*cosh(x)^2+a^3*atan(sinh(x))*cosh(x)^2-_ + b^3*log(cosh(x)^2)*cosh(x)^2+2*b^3*log(a+b*sinh(x))*cosh(x)^2+_ + a^2*b+b^3+sinh(x)*a^3+sinh(x)*b^2*a)/cosh(x)^2/(a^2+b^2)^2 +--R +--R +--R (86) +--R 3 2 3 2 2 +--R 2b cosh(x) log(b sinh(x) + a) - b cosh(x) log(cosh(x) ) +--R + +--R 2 3 2 2 3 3 2 +--R (3a b + a )cosh(x) atan(sinh(x)) + (a b + a )sinh(x) + b + a b +--R / +--R 4 2 2 4 2 +--R (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 87 + +--S 88 of 530 +a0517:= integrate(t0517,x) +--R +--R +--R (87) +--R 3 4 3 3 3 2 3 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) - 2b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (- 4b cosh(x) - 4b cosh(x))sinh(x) - b cosh(x) - 2b cosh(x) - b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 4 3 3 3 2 3 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (4b cosh(x) + 4b cosh(x))sinh(x) + b cosh(x) + 2b cosh(x) + b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 3 4 2 3 3 +--R (3a b + a )sinh(x) + (12a b + 4a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 2 +--R ((18a b + 6a )cosh(x) + 6a b + 2a )sinh(x) +--R + +--R 2 3 3 2 3 +--R ((12a b + 4a )cosh(x) + (12a b + 4a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 2 3 +--R (3a b + a )cosh(x) + (6a b + 2a )cosh(x) + 3a b + a +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 3 3 2 3 3 2 2 +--R (a b + a )sinh(x) + ((3a b + 3a )cosh(x) + 2b + 2a b)sinh(x) +--R + +--R 2 3 2 3 2 2 3 +--R ((3a b + 3a )cosh(x) + (4b + 4a b)cosh(x) - a b - a )sinh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (a b + a )cosh(x) + (2b + 2a b)cosh(x) + (- a b - a )cosh(x) +--R / +--R 4 2 2 4 4 4 2 2 4 3 +--R (b + 2a b + a )sinh(x) + (4b + 8a b + 4a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((6b + 12a b + 6a )cosh(x) + 2b + 4a b + 2a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((4b + 8a b + 4a )cosh(x) + (4b + 8a b + 4a )cosh(x))sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 4 2 2 4 +--R (b + 2a b + a )cosh(x) + (2b + 4a b + 2a )cosh(x) + b + 2a b + a +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 530 +m0517:= a0517-r0517 +--R +--R +--R (88) +--R 3 2 4 3 3 3 +--R - 2b cosh(x) sinh(x) - 8b cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (- 12b cosh(x) - 4b cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (- 8b cosh(x) - 8b cosh(x) )sinh(x) - 2b cosh(x) - 4b cosh(x) +--R + +--R 3 2 +--R - 2b cosh(x) +--R * +--R log(b sinh(x) + a) +--R + +--R 3 2 4 3 3 3 +--R b cosh(x) sinh(x) + 4b cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (6b cosh(x) + 2b cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (4b cosh(x) + 4b cosh(x) )sinh(x) + b cosh(x) + 2b cosh(x) +--R + +--R 3 2 +--R b cosh(x) +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 3 2 4 3 3 3 +--R - 2b cosh(x) sinh(x) - 8b cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (- 12b cosh(x) - 4b cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (- 8b cosh(x) - 8b cosh(x) )sinh(x) - 2b cosh(x) - 4b cosh(x) +--R + +--R 3 2 +--R - 2b cosh(x) +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 4 3 3 3 +--R 2b cosh(x) sinh(x) + 8b cosh(x) sinh(x) +--R + +--R 3 4 3 2 2 +--R (12b cosh(x) + 4b cosh(x) )sinh(x) +--R + +--R 3 5 3 3 3 6 3 4 +--R (8b cosh(x) + 8b cosh(x) )sinh(x) + 2b cosh(x) + 4b cosh(x) +--R + +--R 3 2 +--R 2b cosh(x) +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 3 2 4 2 3 3 3 +--R (6a b + 2a )cosh(x) sinh(x) + (24a b + 8a )cosh(x) sinh(x) +--R + +--R 2 3 4 2 3 2 2 +--R ((36a b + 12a )cosh(x) + (12a b + 4a )cosh(x) )sinh(x) +--R + +--R 2 3 5 2 3 3 +--R ((24a b + 8a )cosh(x) + (24a b + 8a )cosh(x) )sinh(x) +--R + +--R 2 3 6 2 3 4 2 3 2 +--R (6a b + 2a )cosh(x) + (12a b + 4a )cosh(x) + (6a b + 2a )cosh(x) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 3 2 4 2 3 3 3 +--R (- 3a b - a )cosh(x) sinh(x) + (- 12a b - 4a )cosh(x) sinh(x) +--R + +--R 2 3 4 2 3 2 2 +--R ((- 18a b - 6a )cosh(x) + (- 6a b - 2a )cosh(x) )sinh(x) +--R + +--R 2 3 5 2 3 3 +--R ((- 12a b - 4a )cosh(x) + (- 12a b - 4a )cosh(x) )sinh(x) +--R + +--R 2 3 6 2 3 4 +--R (- 3a b - a )cosh(x) + (- 6a b - 2a )cosh(x) +--R + +--R 2 3 2 +--R (- 3a b - a )cosh(x) +--R * +--R atan(sinh(x)) +--R + +--R 2 3 5 2 3 3 2 4 +--R (- a b - a )sinh(x) + ((- 4a b - 4a )cosh(x) - b - a b)sinh(x) +--R + +--R 2 3 2 3 2 2 3 3 +--R ((- 4a b - 4a )cosh(x) + (- 4b - 4a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 3 3 3 2 2 +--R (2a b + 2a )cosh(x) + (- 2b - 2a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 4a b - 4a )cosh(x) - 2b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 +--R (5a b + 5a )cosh(x) + (4b + 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 4a b - 4a )cosh(x) + (- 4b - 4a b)cosh(x) - a b - a +--R * +--R sinh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R (2a b + 2a )cosh(x) + (3b + 3a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b)cosh(x) - b - a b +--R / +--R 4 2 2 4 2 4 +--R (2b + 4a b + 2a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 3 3 +--R (8b + 16a b + 8a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 2 +--R ((12b + 24a b + 12a )cosh(x) + (4b + 8a b + 4a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R ((8b + 16a b + 8a )cosh(x) + (8b + 16a b + 8a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (2b + 4a b + 2a )cosh(x) + (4b + 8a b + 4a )cosh(x) +--R + +--R 4 2 2 4 2 +--R (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 89 + +--S 90 of 530 +d0517:= D(m0517,x) +--R +--R +--R (89) +--R 2 3 10 2 3 3 2 9 +--R (2a b + 2a )sinh(x) + ((12a b + 12a )cosh(x) + 2b + 2a b)sinh(x) +--R + +--R 2 3 2 3 2 2 3 8 +--R ((29a b + 29a )cosh(x) + (12b + 12a b)cosh(x) + 8a b + 8a )sinh(x) +--R + +--R 2 3 3 3 2 2 +--R (38a b + 34a )cosh(x) + (30b + 30a b)cosh(x) +--R + +--R 2 3 3 2 +--R (36a b + 36a )cosh(x) + 8b + 8a b +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 +--R (32a b + 14a )cosh(x) + (32b + 32a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (62a b + 62a )cosh(x) + (36b + 36a b)cosh(x) + 12a b + 12a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 5 3 2 4 +--R (14a b - 14a )cosh(x) + (- 2b - 2a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (74a b + 62a )cosh(x) + (66b + 66a b)cosh(x) +--R + +--R 2 3 3 2 +--R (36a b + 36a )cosh(x) + 12b + 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 6 3 2 5 +--R (- 18a b - 28a )cosh(x) + (- 36b - 36a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (86a b + 48a )cosh(x) + (64b + 64a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (36a b + 36a )cosh(x) + (36b + 36a b)cosh(x) + 8a b + 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 7 3 2 6 +--R (- 46a b - 26a )cosh(x) + (- 30b - 30a b)cosh(x) +--R + +--R 2 3 5 3 2 4 +--R (56a b + 16a )cosh(x) + (20b + 20a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (34a b + 22a )cosh(x) + (42b + 42a b)cosh(x) +--R + +--R 2 3 3 2 +--R (12a b + 12a )cosh(x) + 8b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 8 3 2 7 +--R (- 42a b - 16a )cosh(x) + (- 8b - 8a b)cosh(x) +--R + +--R 2 3 6 3 2 5 +--R (- 6a b - 18a )cosh(x) + (- 28b - 28a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (52a b + 30a )cosh(x) + (32b + 32a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (2a b + 2a )cosh(x) + (12b + 12a b)cosh(x) + 2a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 9 2 3 7 +--R (- 18a b - 6a )cosh(x) + (- 22a b - 18a )cosh(x) +--R + +--R 3 2 6 2 3 5 +--R (- 30b - 30a b)cosh(x) + (42a b + 30a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (22b + 22a b)cosh(x) + (- 2a b - 6a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b + 6a b)cosh(x) + 2b + 2a b +--R * +--R sinh(x) +--R + +--R 2 3 10 2 3 8 +--R (- 3a b - a )cosh(x) + (- 6a b - 4a )cosh(x) +--R + +--R 3 2 7 2 3 6 3 2 5 +--R (- 8b - 8a b)cosh(x) + (12a b + 10a )cosh(x) + (8b + 8a b)cosh(x) +--R + +--R 2 3 4 2 3 2 +--R (- 2a b - 4a )cosh(x) + (- a b - a )cosh(x) +--R / +--R 4 2 2 4 3 8 +--R (2b + 4a b + 2a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 4 7 +--R (12b + 24a b + 12a )cosh(x) sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 6 +--R ((30b + 60a b + 30a )cosh(x) + (8b + 16a b + 8a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 5 +--R ((40b + 80a b + 40a )cosh(x) + (36b + 72a b + 36a )cosh(x) )sinh(x) +--R + +--R 4 2 2 4 7 4 2 2 4 5 +--R (30b + 60a b + 30a )cosh(x) + (66b + 132a b + 66a )cosh(x) +--R + +--R 4 2 2 4 3 +--R (12b + 24a b + 12a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 8 4 2 2 4 6 +--R (12b + 24a b + 12a )cosh(x) + (64b + 128a b + 64a )cosh(x) +--R + +--R 4 2 2 4 4 +--R (36b + 72a b + 36a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 9 4 2 2 4 7 +--R (2b + 4a b + 2a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (42b + 84a b + 42a )cosh(x) + (8b + 16a b + 8a )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 8 4 2 2 4 6 +--R (12b + 24a b + 12a )cosh(x) + (24b + 48a b + 24a )cosh(x) +--R + +--R 4 2 2 4 4 +--R (12b + 24a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 9 4 2 2 4 7 +--R (2b + 4a b + 2a )cosh(x) + (6b + 12a b + 6a )cosh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (6b + 12a b + 6a )cosh(x) + (2b + 4a b + 2a )cosh(x) +--R Type: Expression Integer +--E 90 + +--S 91 of 530 +t0518:= sech(x)^4/(a+b*sinh(x)) +--R +--R +--R 4 +--R sech(x) +--R (90) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 91 + +--S 92 of 530 +r0518:= -2*b^4*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)+_ + b^3*sech(x)/(a^2+b^2)^2+b*sech(x)^3/(3*a^2+3*b^2)+_ + a*b^2*tanh(x)/(a^2+b^2)^2+a*tanh(x)/(a^2+b^2)-a*tanh(x)^3/(3*a^2+3*b^2) +--R +--R +--R (91) +--R x +--R a tanh(-) - b +--R 4 2 +--R 6b atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 3 2 3 3 2 3 +--R (- a b - a )tanh(x) + (6a b + 3a )tanh(x) + (b + a b)sech(x) +--R + +--R 3 +--R 3b sech(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 4 2 2 4 | 2 2 +--R (3b + 6a b + 3a )\|b + a +--R Type: Expression Integer +--E 92 + +--S 93 of 530 +a0518:= integrate(t0518,x) +--R +--R +--R (92) +--R 4 6 4 5 4 2 4 4 +--R 3b sinh(x) + 18b cosh(x)sinh(x) + (45b cosh(x) + 9b )sinh(x) +--R + +--R 4 3 4 3 +--R (60b cosh(x) + 36b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45b cosh(x) + 54b cosh(x) + 9b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18b cosh(x) + 36b cosh(x) + 18b cosh(x))sinh(x) + 3b cosh(x) +--R + +--R 4 4 4 2 4 +--R 9b cosh(x) + 9b cosh(x) + 3b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 5 3 2 4 +--R 6b sinh(x) + (30b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (60b cosh(x) - 24a b cosh(x) + 20b + 8a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R 60b cosh(x) - 36a b cosh(x) + (60b + 24a b)cosh(x) - 24a b +--R + +--R 3 +--R - 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 30b cosh(x) - 24a b cosh(x) + (60b + 24a b)cosh(x) +--R + +--R 2 3 3 +--R (- 48a b - 24a )cosh(x) + 6b +--R * +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 6a b cosh(x) + (20b + 8a b)cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 24a b - 12a )cosh(x) + 6b cosh(x) - 10a b - 4a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 2 2 4 6 4 2 2 4 5 +--R (3b + 6a b + 3a )sinh(x) + (18b + 36a b + 18a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 4 +--R ((45b + 90a b + 45a )cosh(x) + 9b + 18a b + 9a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((60b + 120a b + 60a )cosh(x) + (36b + 72a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (45b + 90a b + 45a )cosh(x) + (54b + 108a b + 54a )cosh(x) +--R + +--R 4 2 2 4 +--R 9b + 18a b + 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (18b + 36a b + 18a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 +--R (18b + 36a b + 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (3b + 6a b + 3a )cosh(x) + (9b + 18a b + 9a )cosh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 +--R (9b + 18a b + 9a )cosh(x) + 3b + 6a b + 3a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 530 +m0518:= a0518-r0518 +--R +--R +--R (93) +--R 4 6 4 5 4 2 4 4 +--R 3b sinh(x) + 18b cosh(x)sinh(x) + (45b cosh(x) + 9b )sinh(x) +--R + +--R 4 3 4 3 +--R (60b cosh(x) + 36b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45b cosh(x) + 54b cosh(x) + 9b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18b cosh(x) + 36b cosh(x) + 18b cosh(x))sinh(x) + 3b cosh(x) +--R + +--R 4 4 4 2 4 +--R 9b cosh(x) + 9b cosh(x) + 3b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 6 4 5 4 2 4 4 +--R - 6b sinh(x) - 36b cosh(x)sinh(x) + (- 90b cosh(x) - 18b )sinh(x) +--R + +--R 4 3 4 3 +--R (- 120b cosh(x) - 72b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (- 90b cosh(x) - 108b cosh(x) - 18b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (- 36b cosh(x) - 72b cosh(x) - 36b cosh(x))sinh(x) - 6b cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18b cosh(x) - 18b cosh(x) - 6b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 6 2 3 5 +--R (a b + a )sinh(x) + (6a b + 6a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 4 +--R ((15a b + 15a )cosh(x) + 3a b + 3a )sinh(x) +--R + +--R 2 3 3 2 3 3 +--R ((20a b + 20a )cosh(x) + (12a b + 12a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 2 +--R (15a b + 15a )cosh(x) + (18a b + 18a )cosh(x) + 3a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 5 2 3 3 +--R (6a b + 6a )cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 2 3 +--R (6a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 6 2 3 4 +--R (a b + a )cosh(x) + (3a b + 3a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (3a b + 3a )cosh(x) + a b + a +--R * +--R 3 +--R tanh(x) +--R + +--R 2 3 6 2 3 5 +--R (- 6a b - 3a )sinh(x) + (- 36a b - 18a )cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 4 +--R ((- 90a b - 45a )cosh(x) - 18a b - 9a )sinh(x) +--R + +--R 2 3 3 2 3 3 +--R ((- 120a b - 60a )cosh(x) + (- 72a b - 36a )cosh(x))sinh(x) +--R + +--R 2 3 4 2 3 2 +--R (- 90a b - 45a )cosh(x) + (- 108a b - 54a )cosh(x) +--R + +--R 2 3 +--R - 18a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 5 2 3 3 +--R (- 36a b - 18a )cosh(x) + (- 72a b - 36a )cosh(x) +--R + +--R 2 3 +--R (- 36a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 6 2 3 4 +--R (- 6a b - 3a )cosh(x) + (- 18a b - 9a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (- 18a b - 9a )cosh(x) - 6a b - 3a +--R * +--R tanh(x) +--R + +--R 3 2 3 3 6 +--R ((- b - a b)sech(x) - 3b sech(x))sinh(x) +--R + +--R 3 2 3 3 3 5 +--R ((- 6b - 6a b)cosh(x)sech(x) - 18b cosh(x)sech(x) + 6b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R ((- 15b - 15a b)cosh(x) - 3b - 3a b)sech(x) +--R + +--R 3 2 3 3 2 +--R (- 45b cosh(x) - 9b )sech(x) + 30b cosh(x) - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 20b - 20a b)cosh(x) + (- 12b - 12a b)cosh(x))sech(x) +--R + +--R 3 3 3 3 2 +--R (- 60b cosh(x) - 36b cosh(x))sech(x) + 60b cosh(x) +--R + +--R 2 3 2 +--R - 24a b cosh(x) + 20b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 15b - 15a b)cosh(x) + (- 18b - 18a b)cosh(x) - 3b +--R + +--R 2 +--R - 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 3 4 3 2 3 3 3 +--R (- 45b cosh(x) - 54b cosh(x) - 9b )sech(x) + 60b cosh(x) +--R + +--R 2 2 3 2 2 3 +--R - 36a b cosh(x) + (60b + 24a b)cosh(x) - 24a b - 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 6b - 6a b)cosh(x) + (- 12b - 12a b)cosh(x) +--R + +--R 3 2 +--R (- 6b - 6a b)cosh(x) +--R * +--R 3 +--R sech(x) +--R + +--R 3 5 3 3 3 +--R (- 18b cosh(x) - 36b cosh(x) - 18b cosh(x))sech(x) +--R + +--R 3 4 2 3 3 2 2 +--R 30b cosh(x) - 24a b cosh(x) + (60b + 24a b)cosh(x) +--R + +--R 2 3 3 +--R (- 48a b - 24a )cosh(x) + 6b +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- b - a b)cosh(x) + (- 3b - 3a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 3b - 3a b)cosh(x) - b - a b +--R * +--R 3 +--R sech(x) +--R + +--R 3 6 3 4 3 2 3 +--R (- 3b cosh(x) - 9b cosh(x) - 9b cosh(x) - 3b )sech(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 6a b cosh(x) + (20b + 8a b)cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 24a b - 12a )cosh(x) + 6b cosh(x) - 10a b - 4a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 2 2 4 6 4 2 2 4 5 +--R (3b + 6a b + 3a )sinh(x) + (18b + 36a b + 18a )cosh(x)sinh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 4 +--R ((45b + 90a b + 45a )cosh(x) + 9b + 18a b + 9a )sinh(x) +--R + +--R 4 2 2 4 3 4 2 2 4 +--R ((60b + 120a b + 60a )cosh(x) + (36b + 72a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (45b + 90a b + 45a )cosh(x) + (54b + 108a b + 54a )cosh(x) +--R + +--R 4 2 2 4 +--R 9b + 18a b + 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 5 4 2 2 4 3 +--R (18b + 36a b + 18a )cosh(x) + (36b + 72a b + 36a )cosh(x) +--R + +--R 4 2 2 4 +--R (18b + 36a b + 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 2 4 6 4 2 2 4 4 +--R (3b + 6a b + 3a )cosh(x) + (9b + 18a b + 9a )cosh(x) +--R + +--R 4 2 2 4 2 4 2 2 4 +--R (9b + 18a b + 9a )cosh(x) + 3b + 6a b + 3a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 94 + +--S 95 of 530 +d0518:= D(m0518,x) +--R +--R +--R (94) +--R 2 3 4 10 +--R (- a b - a b)sinh(x) +--R + +--R 2 3 4 3 2 5 9 +--R ((- 10a b - 10a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 45a b - 45a b)cosh(x) + (- 18a b - 18a )cosh(x) - 3a b +--R + +--R 4 +--R - 3a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 120a b - 120a b)cosh(x) + (- 72a b - 72a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 24a b - 24a b)cosh(x) - 8a b - 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 210a b - 210a b)cosh(x) + (- 168a b - 168a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 84a b - 84a b)cosh(x) + (- 56a b - 56a )cosh(x) - 2a b +--R + +--R 4 +--R - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 252a b - 252a b)cosh(x) + (- 252a b - 252a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 168a b - 168a b)cosh(x) + (- 168a b - 168a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 12a b - 12a b)cosh(x) - 12a b - 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 210a b - 210a b)cosh(x) + (- 252a b - 252a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 210a b - 210a b)cosh(x) + (- 280a b - 280a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 30a b - 30a b)cosh(x) + (- 60a b - 60a )cosh(x) + 2a b +--R + +--R 4 +--R 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (- 120a b - 120a b)cosh(x) + (- 168a b - 168a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 168a b - 168a b)cosh(x) + (- 280a b - 280a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 40a b - 40a b)cosh(x) + (- 120a b - 120a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (8a b + 8a b)cosh(x) - 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (- 45a b - 45a b)cosh(x) + (- 72a b - 72a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 84a b - 84a b)cosh(x) + (- 168a b - 168a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 30a b - 30a b)cosh(x) + (- 120a b - 120a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (12a b + 12a b)cosh(x) + (- 24a b - 24a )cosh(x) + 3a b +--R + +--R 4 +--R 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 9 3 2 5 8 +--R (- 10a b - 10a b)cosh(x) + (- 18a b - 18a )cosh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (- 24a b - 24a b)cosh(x) + (- 56a b - 56a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 12a b - 12a b)cosh(x) + (- 60a b - 60a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (8a b + 8a b)cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (6a b + 6a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 10 3 2 5 9 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (- 3a b - 3a b)cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 2a b - 2a b)cosh(x) + (- 12a b - 12a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (2a b + 2a b)cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (3a b + 3a b)cosh(x) + (- 2a b - 2a )cosh(x) + a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 10 +--R (2a b + 2a b )sinh(x) +--R + +--R 4 3 2 2 3 4 9 +--R ((20a b + 20a b )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (90a b + 90a b )cosh(x) + (36a b + 36a b)cosh(x) + 6a b +--R + +--R 3 2 +--R 6a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (240a b + 240a b )cosh(x) + (144a b + 144a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (48a b + 48a b )cosh(x) + 16a b + 16a b +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (420a b + 420a b )cosh(x) + (336a b + 336a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (168a b + 168a b )cosh(x) + (112a b + 112a b)cosh(x) +--R + +--R 4 3 2 +--R 4a b + 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (504a b + 504a b )cosh(x) + (504a b + 504a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (336a b + 336a b )cosh(x) + (336a b + 336a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (24a b + 24a b )cosh(x) + 24a b + 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (420a b + 420a b )cosh(x) + (504a b + 504a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (420a b + 420a b )cosh(x) + (560a b + 560a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (60a b + 60a b )cosh(x) + (120a b + 120a b)cosh(x) - 4a b +--R + +--R 3 2 +--R - 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (240a b + 240a b )cosh(x) + (336a b + 336a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (336a b + 336a b )cosh(x) + (560a b + 560a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (80a b + 80a b )cosh(x) + (240a b + 240a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 16a b - 16a b )cosh(x) + 16a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (90a b + 90a b )cosh(x) + (144a b + 144a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (168a b + 168a b )cosh(x) + (336a b + 336a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (60a b + 60a b )cosh(x) + (240a b + 240a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (- 24a b - 24a b )cosh(x) + (48a b + 48a b)cosh(x) - 6a b +--R + +--R 3 2 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 9 2 3 4 8 +--R (20a b + 20a b )cosh(x) + (36a b + 36a b)cosh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (48a b + 48a b )cosh(x) + (112a b + 112a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (24a b + 24a b )cosh(x) + (120a b + 120a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 16a b - 16a b )cosh(x) + (48a b + 48a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 12a b - 12a b )cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (6a b + 6a b )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (4a b + 4a b )cosh(x) + (24a b + 24a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 4a b - 4a b )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 6a b - 6a b )cosh(x) + (4a b + 4a b)cosh(x) - 2a b - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 3 4 10 +--R (a b + a b)sinh(x) +--R + +--R 2 3 4 3 2 5 9 +--R ((10a b + 10a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R ((45a b + 45a b)cosh(x) + (18a b + 18a )cosh(x) + 3a b + 3a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (120a b + 120a b)cosh(x) + (72a b + 72a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (24a b + 24a b)cosh(x) + 8a b + 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (210a b + 210a b)cosh(x) + (168a b + 168a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (84a b + 84a b)cosh(x) + (56a b + 56a )cosh(x) + 2a b + 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (252a b + 252a b)cosh(x) + (252a b + 252a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (168a b + 168a b)cosh(x) + (168a b + 168a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (12a b + 12a b)cosh(x) + 12a b + 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (210a b + 210a b)cosh(x) + (252a b + 252a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (210a b + 210a b)cosh(x) + (280a b + 280a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (30a b + 30a b)cosh(x) + (60a b + 60a )cosh(x) - 2a b - 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (120a b + 120a b)cosh(x) + (168a b + 168a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (168a b + 168a b)cosh(x) + (280a b + 280a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (40a b + 40a b)cosh(x) + (120a b + 120a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 8a b - 8a b)cosh(x) + 8a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (45a b + 45a b)cosh(x) + (72a b + 72a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (84a b + 84a b)cosh(x) + (168a b + 168a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (30a b + 30a b)cosh(x) + (120a b + 120a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (- 12a b - 12a b)cosh(x) + (24a b + 24a )cosh(x) - 3a b - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 9 3 2 5 8 +--R (10a b + 10a b)cosh(x) + (18a b + 18a )cosh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (24a b + 24a b)cosh(x) + (56a b + 56a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (12a b + 12a b)cosh(x) + (60a b + 60a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 8a b - 8a b)cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 6a b - 6a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 10 3 2 5 9 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (3a b + 3a b)cosh(x) + (8a b + 8a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (2a b + 2a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 2a b - 2a b)cosh(x) + (8a b + 8a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (- 3a b - 3a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 3 4 10 +--R (3a b + 2a b)sinh(x) +--R + +--R 2 3 4 3 2 5 9 +--R ((30a b + 20a b)cosh(x) + 6a b + 4a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (135a b + 90a b)cosh(x) + (54a b + 36a )cosh(x) + 9a b +--R + +--R 4 +--R 6a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (360a b + 240a b)cosh(x) + (216a b + 144a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (72a b + 48a b)cosh(x) + 24a b + 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (630a b + 420a b)cosh(x) + (504a b + 336a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (252a b + 168a b)cosh(x) + (168a b + 112a )cosh(x) + 6a b +--R + +--R 4 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (756a b + 504a b)cosh(x) + (756a b + 504a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (504a b + 336a b)cosh(x) + (504a b + 336a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (36a b + 24a b)cosh(x) + 36a b + 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (630a b + 420a b)cosh(x) + (756a b + 504a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (630a b + 420a b)cosh(x) + (840a b + 560a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (90a b + 60a b)cosh(x) + (180a b + 120a )cosh(x) - 6a b +--R + +--R 4 +--R - 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (360a b + 240a b)cosh(x) + (504a b + 336a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (504a b + 336a b)cosh(x) + (840a b + 560a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (120a b + 80a b)cosh(x) + (360a b + 240a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 24a b - 16a b)cosh(x) + 24a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (135a b + 90a b)cosh(x) + (216a b + 144a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (252a b + 168a b)cosh(x) + (504a b + 336a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (90a b + 60a b)cosh(x) + (360a b + 240a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 36a b - 24a b)cosh(x) + (72a b + 48a )cosh(x) - 9a b +--R + +--R 4 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 9 3 2 5 8 +--R (30a b + 20a b)cosh(x) + (54a b + 36a )cosh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (72a b + 48a b)cosh(x) + (168a b + 112a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (36a b + 24a b)cosh(x) + (180a b + 120a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 24a b - 16a b)cosh(x) + (72a b + 48a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 18a b - 12a b)cosh(x) + 6a b + 4a +--R * +--R sinh(x) +--R + +--R 2 3 4 10 3 2 5 9 +--R (3a b + 2a b)cosh(x) + (6a b + 4a )cosh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (9a b + 6a b)cosh(x) + (24a b + 16a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (6a b + 4a b)cosh(x) + (36a b + 24a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 6a b - 4a b)cosh(x) + (24a b + 16a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (- 9a b - 6a b)cosh(x) + (6a b + 4a )cosh(x) - 3a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 10 +--R (- 6a b - 4a b )sinh(x) +--R + +--R 4 3 2 2 3 4 9 +--R ((- 60a b - 40a b )cosh(x) - 12a b - 8a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 270a b - 180a b )cosh(x) + (- 108a b - 72a b)cosh(x) +--R + +--R 4 3 2 +--R - 18a b - 12a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 720a b - 480a b )cosh(x) + (- 432a b - 288a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 144a b - 96a b )cosh(x) - 48a b - 32a b +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 4 +--R (- 1260a b - 840a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (- 1008a b - 672a b)cosh(x) + (- 504a b - 336a b )cosh(x) +--R + +--R 2 3 4 4 3 2 +--R (- 336a b - 224a b)cosh(x) - 12a b - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 5 +--R (- 1512a b - 1008a b )cosh(x) +--R + +--R 2 3 4 4 +--R (- 1512a b - 1008a b)cosh(x) +--R + +--R 4 3 2 3 +--R (- 1008a b - 672a b )cosh(x) +--R + +--R 2 3 4 2 4 3 2 +--R (- 1008a b - 672a b)cosh(x) + (- 72a b - 48a b )cosh(x) +--R + +--R 2 3 4 +--R - 72a b - 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 6 +--R (- 1260a b - 840a b )cosh(x) +--R + +--R 2 3 4 5 +--R (- 1512a b - 1008a b)cosh(x) +--R + +--R 4 3 2 4 +--R (- 1260a b - 840a b )cosh(x) +--R + +--R 2 3 4 3 +--R (- 1680a b - 1120a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 180a b - 120a b )cosh(x) + (- 360a b - 240a b)cosh(x) +--R + +--R 4 3 2 +--R 12a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (- 720a b - 480a b )cosh(x) + (- 1008a b - 672a b)cosh(x) +--R + +--R 4 3 2 5 +--R (- 1008a b - 672a b )cosh(x) +--R + +--R 2 3 4 4 +--R (- 1680a b - 1120a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 240a b - 160a b )cosh(x) + (- 720a b - 480a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (48a b + 32a b )cosh(x) - 48a b - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (- 270a b - 180a b )cosh(x) + (- 432a b - 288a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 504a b - 336a b )cosh(x) + (- 1008a b - 672a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 180a b - 120a b )cosh(x) + (- 720a b - 480a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (72a b + 48a b )cosh(x) + (- 144a b - 96a b)cosh(x) +--R + +--R 4 3 2 +--R 18a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 9 2 3 4 8 +--R (- 60a b - 40a b )cosh(x) + (- 108a b - 72a b)cosh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (- 144a b - 96a b )cosh(x) + (- 336a b - 224a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 72a b - 48a b )cosh(x) + (- 360a b - 240a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (48a b + 32a b )cosh(x) + (- 144a b - 96a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (36a b + 24a b )cosh(x) - 12a b - 8a b +--R * +--R sinh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (- 6a b - 4a b )cosh(x) + (- 12a b - 8a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (- 18a b - 12a b )cosh(x) + (- 48a b - 32a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 12a b - 8a b )cosh(x) + (- 72a b - 48a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (12a b + 8a b )cosh(x) + (- 48a b - 32a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (18a b + 12a b )cosh(x) + (- 12a b - 8a b)cosh(x) + 6a b +--R + +--R 3 2 +--R 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 3 4 10 +--R (- 3a b - 2a b)sinh(x) +--R + +--R 2 3 4 3 2 5 9 +--R ((- 30a b - 20a b)cosh(x) - 6a b - 4a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 135a b - 90a b)cosh(x) + (- 54a b - 36a )cosh(x) - 9a b +--R + +--R 4 +--R - 6a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 360a b - 240a b)cosh(x) + (- 216a b - 144a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 72a b - 48a b)cosh(x) - 24a b - 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 630a b - 420a b)cosh(x) + (- 504a b - 336a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 252a b - 168a b)cosh(x) + (- 168a b - 112a )cosh(x) - 6a b +--R + +--R 4 +--R - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 756a b - 504a b)cosh(x) + (- 756a b - 504a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 504a b - 336a b)cosh(x) + (- 504a b - 336a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 36a b - 24a b)cosh(x) - 36a b - 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 630a b - 420a b)cosh(x) + (- 756a b - 504a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 630a b - 420a b)cosh(x) + (- 840a b - 560a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 90a b - 60a b)cosh(x) + (- 180a b - 120a )cosh(x) + 6a b +--R + +--R 4 +--R 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (- 360a b - 240a b)cosh(x) + (- 504a b - 336a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 504a b - 336a b)cosh(x) + (- 840a b - 560a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 120a b - 80a b)cosh(x) + (- 360a b - 240a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (24a b + 16a b)cosh(x) - 24a b - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (- 135a b - 90a b)cosh(x) + (- 216a b - 144a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 252a b - 168a b)cosh(x) + (- 504a b - 336a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 90a b - 60a b)cosh(x) + (- 360a b - 240a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (36a b + 24a b)cosh(x) + (- 72a b - 48a )cosh(x) + 9a b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 9 3 2 5 8 +--R (- 30a b - 20a b)cosh(x) + (- 54a b - 36a )cosh(x) +--R + +--R 2 3 4 7 3 2 5 6 +--R (- 72a b - 48a b)cosh(x) + (- 168a b - 112a )cosh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 36a b - 24a b)cosh(x) + (- 180a b - 120a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (24a b + 16a b)cosh(x) + (- 72a b - 48a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (18a b + 12a b)cosh(x) - 6a b - 4a +--R * +--R sinh(x) +--R + +--R 2 3 4 10 3 2 5 9 +--R (- 3a b - 2a b)cosh(x) + (- 6a b - 4a )cosh(x) +--R + +--R 2 3 4 8 3 2 5 7 +--R (- 9a b - 6a b)cosh(x) + (- 24a b - 16a )cosh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 6a b - 4a b)cosh(x) + (- 36a b - 24a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (6a b + 4a b)cosh(x) + (- 24a b - 16a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (9a b + 6a b)cosh(x) + (- 6a b - 4a )cosh(x) + 3a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 3 4 10 +--R ((a b + a b )sech(x) + a b sech(x))sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R ((10a b + 10a b )cosh(x) + 2a b + 2a b)sech(x) +--R + +--R 4 2 3 +--R (10a b cosh(x) + 2a b )sech(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (45a b + 45a b )cosh(x) + (18a b + 18a b)cosh(x) +--R + +--R 4 3 2 +--R 3a b + 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 2 2 3 4 +--R (45a b cosh(x) + 18a b cosh(x) + 3a b )sech(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (120a b + 120a b )cosh(x) + (72a b + 72a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (24a b + 24a b )cosh(x) + 8a b + 8a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R (120a b cosh(x) + 72a b cosh(x) + 24a b cosh(x) + 8a b ) +--R * +--R sech(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (210a b + 210a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (84a b + 84a b )cosh(x) + (56a b + 56a b)cosh(x) +--R + +--R 4 3 2 +--R 2a b + 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 4 2 3 3 4 2 +--R 210a b cosh(x) + 168a b cosh(x) + 84a b cosh(x) +--R + +--R 2 3 4 +--R 56a b cosh(x) + 2a b +--R * +--R sech(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (252a b + 252a b )cosh(x) + (252a b + 252a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (168a b + 168a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (12a b + 12a b )cosh(x) + 12a b + 12a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 5 2 3 4 4 3 +--R 252a b cosh(x) + 252a b cosh(x) + 168a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R 168a b cosh(x) + 12a b cosh(x) + 12a b +--R * +--R sech(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (210a b + 210a b )cosh(x) + (252a b + 252a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (210a b + 210a b )cosh(x) + (280a b + 280a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (30a b + 30a b )cosh(x) + (60a b + 60a b)cosh(x) +--R + +--R 4 3 2 +--R - 2a b - 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 6 2 3 5 4 4 +--R 210a b cosh(x) + 252a b cosh(x) + 210a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R 280a b cosh(x) + 30a b cosh(x) + 60a b cosh(x) - 2a b +--R * +--R sech(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (120a b + 120a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (168a b + 168a b )cosh(x) + (280a b + 280a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (40a b + 40a b )cosh(x) + (120a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 8a b - 8a b )cosh(x) + 8a b + 8a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 7 2 3 6 4 5 +--R 120a b cosh(x) + 168a b cosh(x) + 168a b cosh(x) +--R + +--R 2 3 4 4 3 2 3 2 +--R 280a b cosh(x) + 40a b cosh(x) + 120a b cosh(x) +--R + +--R 4 2 3 +--R - 8a b cosh(x) + 8a b +--R * +--R sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (45a b + 45a b )cosh(x) + (72a b + 72a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (84a b + 84a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (30a b + 30a b )cosh(x) + (120a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 12a b - 12a b )cosh(x) + (24a b + 24a b)cosh(x) +--R + +--R 4 3 2 +--R - 3a b - 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 8 2 3 7 4 6 +--R 45a b cosh(x) + 72a b cosh(x) + 84a b cosh(x) +--R + +--R 2 3 5 4 4 2 3 3 +--R 168a b cosh(x) + 30a b cosh(x) + 120a b cosh(x) +--R + +--R 4 2 2 3 4 +--R - 12a b cosh(x) + 24a b cosh(x) - 3a b +--R * +--R sech(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 9 2 3 4 8 +--R (10a b + 10a b )cosh(x) + (18a b + 18a b)cosh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (24a b + 24a b )cosh(x) + (56a b + 56a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (12a b + 12a b )cosh(x) + (60a b + 60a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 8a b - 8a b )cosh(x) + (24a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 6a b - 6a b )cosh(x) + 2a b + 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 9 2 3 8 4 7 +--R 10a b cosh(x) + 18a b cosh(x) + 24a b cosh(x) +--R + +--R 2 3 6 4 5 2 3 4 +--R 56a b cosh(x) + 12a b cosh(x) + 60a b cosh(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R - 8a b cosh(x) + 24a b cosh(x) - 6a b cosh(x) + 2a b +--R * +--R sech(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (a b + a b )cosh(x) + (2a b + 2a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (3a b + 3a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (2a b + 2a b )cosh(x) + (12a b + 12a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 2a b - 2a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 3a b - 3a b )cosh(x) + (2a b + 2a b)cosh(x) - a b - a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 10 2 3 9 4 8 2 3 7 +--R a b cosh(x) + 2a b cosh(x) + 3a b cosh(x) + 8a b cosh(x) +--R + +--R 4 6 2 3 5 4 4 +--R 2a b cosh(x) + 12a b cosh(x) - 2a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R 8a b cosh(x) - 3a b cosh(x) + 2a b cosh(x) - a b +--R * +--R sech(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 2 3 3 5 10 +--R ((- 2b - 2a b )sech(x) - 2b sech(x))sinh(x) +--R + +--R 5 2 3 4 3 2 3 +--R ((- 20b - 20a b )cosh(x) - 4a b - 4a b )sech(x) +--R + +--R 5 4 +--R (- 20b cosh(x) - 4a b )sech(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 2 3 2 4 3 2 +--R (- 90b - 90a b )cosh(x) + (- 36a b - 36a b )cosh(x) +--R + +--R 5 2 3 +--R - 6b - 6a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 2 4 5 +--R (- 90b cosh(x) - 36a b cosh(x) - 6b )sech(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 3 3 +--R (- 240b - 240a b )cosh(x) +--R + +--R 4 3 2 2 5 2 3 +--R (- 144a b - 144a b )cosh(x) + (- 48b - 48a b )cosh(x) +--R + +--R 4 3 2 +--R - 16a b - 16a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 3 4 2 5 4 +--R (- 240b cosh(x) - 144a b cosh(x) - 48b cosh(x) - 16a b ) +--R * +--R sech(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 3 4 +--R (- 420b - 420a b )cosh(x) +--R + +--R 4 3 2 3 +--R (- 336a b - 336a b )cosh(x) +--R + +--R 5 2 3 2 +--R (- 168b - 168a b )cosh(x) +--R + +--R 4 3 2 5 2 3 +--R (- 112a b - 112a b )cosh(x) - 4b - 4a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 4 4 3 5 2 +--R - 420b cosh(x) - 336a b cosh(x) - 168b cosh(x) +--R + +--R 4 5 +--R - 112a b cosh(x) - 4b +--R * +--R sech(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 3 5 +--R (- 504b - 504a b )cosh(x) +--R + +--R 4 3 2 4 +--R (- 504a b - 504a b )cosh(x) +--R + +--R 5 2 3 3 +--R (- 336b - 336a b )cosh(x) +--R + +--R 4 3 2 2 5 2 3 +--R (- 336a b - 336a b )cosh(x) + (- 24b - 24a b )cosh(x) +--R + +--R 4 3 2 +--R - 24a b - 24a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 5 4 4 5 3 +--R - 504b cosh(x) - 504a b cosh(x) - 336b cosh(x) +--R + +--R 4 2 5 4 +--R - 336a b cosh(x) - 24b cosh(x) - 24a b +--R * +--R sech(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 3 6 +--R (- 420b - 420a b )cosh(x) +--R + +--R 4 3 2 5 +--R (- 504a b - 504a b )cosh(x) +--R + +--R 5 2 3 4 +--R (- 420b - 420a b )cosh(x) +--R + +--R 4 3 2 3 5 2 3 2 +--R (- 560a b - 560a b )cosh(x) + (- 60b - 60a b )cosh(x) +--R + +--R 4 3 2 5 2 3 +--R (- 120a b - 120a b )cosh(x) + 4b + 4a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 6 4 5 5 4 +--R - 420b cosh(x) - 504a b cosh(x) - 420b cosh(x) +--R + +--R 4 3 5 2 4 5 +--R - 560a b cosh(x) - 60b cosh(x) - 120a b cosh(x) + 4b +--R * +--R sech(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 7 +--R (- 240b - 240a b )cosh(x) +--R + +--R 4 3 2 6 +--R (- 336a b - 336a b )cosh(x) +--R + +--R 5 2 3 5 +--R (- 336b - 336a b )cosh(x) +--R + +--R 4 3 2 4 5 2 3 3 +--R (- 560a b - 560a b )cosh(x) + (- 80b - 80a b )cosh(x) +--R + +--R 4 3 2 2 5 2 3 +--R (- 240a b - 240a b )cosh(x) + (16b + 16a b )cosh(x) +--R + +--R 4 3 2 +--R - 16a b - 16a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 7 4 6 5 5 +--R - 240b cosh(x) - 336a b cosh(x) - 336b cosh(x) +--R + +--R 4 4 5 3 4 2 +--R - 560a b cosh(x) - 80b cosh(x) - 240a b cosh(x) +--R + +--R 5 4 +--R 16b cosh(x) - 16a b +--R * +--R sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 8 4 3 2 7 +--R (- 90b - 90a b )cosh(x) + (- 144a b - 144a b )cosh(x) +--R + +--R 5 2 3 6 +--R (- 168b - 168a b )cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 336a b - 336a b )cosh(x) + (- 60b - 60a b )cosh(x) +--R + +--R 4 3 2 3 5 2 3 2 +--R (- 240a b - 240a b )cosh(x) + (24b + 24a b )cosh(x) +--R + +--R 4 3 2 5 2 3 +--R (- 48a b - 48a b )cosh(x) + 6b + 6a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 8 4 7 5 6 +--R - 90b cosh(x) - 144a b cosh(x) - 168b cosh(x) +--R + +--R 4 5 5 4 4 3 +--R - 336a b cosh(x) - 60b cosh(x) - 240a b cosh(x) +--R + +--R 5 2 4 5 +--R 24b cosh(x) - 48a b cosh(x) + 6b +--R * +--R sech(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 9 4 3 2 8 +--R (- 20b - 20a b )cosh(x) + (- 36a b - 36a b )cosh(x) +--R + +--R 5 2 3 7 4 3 2 6 +--R (- 48b - 48a b )cosh(x) + (- 112a b - 112a b )cosh(x) +--R + +--R 5 2 3 5 4 3 2 4 +--R (- 24b - 24a b )cosh(x) + (- 120a b - 120a b )cosh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (16b + 16a b )cosh(x) + (- 48a b - 48a b )cosh(x) +--R + +--R 5 2 3 4 3 2 +--R (12b + 12a b )cosh(x) - 4a b - 4a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 9 4 8 5 7 +--R - 20b cosh(x) - 36a b cosh(x) - 48b cosh(x) +--R + +--R 4 6 5 5 4 4 +--R - 112a b cosh(x) - 24b cosh(x) - 120a b cosh(x) +--R + +--R 5 3 4 2 5 4 +--R 16b cosh(x) - 48a b cosh(x) + 12b cosh(x) - 4a b +--R * +--R sech(x) +--R * +--R sinh(x) +--R + +--R 5 2 3 10 4 3 2 9 +--R (- 2b - 2a b )cosh(x) + (- 4a b - 4a b )cosh(x) +--R + +--R 5 2 3 8 4 3 2 7 +--R (- 6b - 6a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 5 2 3 6 4 3 2 5 +--R (- 4b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (4b + 4a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (6b + 6a b )cosh(x) + (- 4a b - 4a b )cosh(x) + 2b + 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 5 10 4 9 5 8 4 7 +--R - 2b cosh(x) - 4a b cosh(x) - 6b cosh(x) - 16a b cosh(x) +--R + +--R 5 6 4 5 5 4 4 3 +--R - 4b cosh(x) - 24a b cosh(x) + 4b cosh(x) - 16a b cosh(x) +--R + +--R 5 2 4 5 +--R 6b cosh(x) - 4a b cosh(x) + 2b +--R * +--R sech(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 3 2 3 4 10 +--R ((- a b - a b )sech(x) - a b sech(x))sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R ((- 10a b - 10a b )cosh(x) - 2a b - 2a b)sech(x) +--R + +--R 4 2 3 +--R (- 10a b cosh(x) - 2a b )sech(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 45a b - 45a b )cosh(x) + (- 18a b - 18a b)cosh(x) +--R + +--R 4 3 2 +--R - 3a b - 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 2 2 3 4 +--R (- 45a b cosh(x) - 18a b cosh(x) - 3a b )sech(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 120a b - 120a b )cosh(x) + (- 72a b - 72a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 24a b - 24a b )cosh(x) - 8a b - 8a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R (- 120a b cosh(x) - 72a b cosh(x) - 24a b cosh(x) - 8a b )sech(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 210a b - 210a b )cosh(x) + (- 168a b - 168a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 84a b - 84a b )cosh(x) + (- 56a b - 56a b)cosh(x) +--R + +--R 4 3 2 +--R - 2a b - 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 4 2 3 3 4 2 +--R - 210a b cosh(x) - 168a b cosh(x) - 84a b cosh(x) +--R + +--R 2 3 4 +--R - 56a b cosh(x) - 2a b +--R * +--R sech(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 252a b - 252a b )cosh(x) + (- 252a b - 252a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 168a b - 168a b )cosh(x) + (- 168a b - 168a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 12a b - 12a b )cosh(x) - 12a b - 12a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 5 2 3 4 4 3 +--R - 252a b cosh(x) - 252a b cosh(x) - 168a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R - 168a b cosh(x) - 12a b cosh(x) - 12a b +--R * +--R sech(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 210a b - 210a b )cosh(x) + (- 252a b - 252a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 210a b - 210a b )cosh(x) + (- 280a b - 280a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 +--R (- 30a b - 30a b )cosh(x) + (- 60a b - 60a b)cosh(x) +--R + +--R 4 3 2 +--R 2a b + 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 6 2 3 5 4 4 +--R - 210a b cosh(x) - 252a b cosh(x) - 210a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R - 280a b cosh(x) - 30a b cosh(x) - 60a b cosh(x) + 2a b +--R * +--R sech(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (- 120a b - 120a b )cosh(x) + (- 168a b - 168a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 168a b - 168a b )cosh(x) + (- 280a b - 280a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 40a b - 40a b )cosh(x) + (- 120a b - 120a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (8a b + 8a b )cosh(x) - 8a b - 8a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 7 2 3 6 4 5 +--R - 120a b cosh(x) - 168a b cosh(x) - 168a b cosh(x) +--R + +--R 2 3 4 4 3 2 3 2 +--R - 280a b cosh(x) - 40a b cosh(x) - 120a b cosh(x) +--R + +--R 4 2 3 +--R 8a b cosh(x) - 8a b +--R * +--R sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (- 45a b - 45a b )cosh(x) + (- 72a b - 72a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 84a b - 84a b )cosh(x) + (- 168a b - 168a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 30a b - 30a b )cosh(x) + (- 120a b - 120a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (12a b + 12a b )cosh(x) + (- 24a b - 24a b)cosh(x) + 3a b +--R + +--R 3 2 +--R 3a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 8 2 3 7 4 6 +--R - 45a b cosh(x) - 72a b cosh(x) - 84a b cosh(x) +--R + +--R 2 3 5 4 4 2 3 3 +--R - 168a b cosh(x) - 30a b cosh(x) - 120a b cosh(x) +--R + +--R 4 2 2 3 4 +--R 12a b cosh(x) - 24a b cosh(x) + 3a b +--R * +--R sech(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 9 2 3 4 8 +--R (- 10a b - 10a b )cosh(x) + (- 18a b - 18a b)cosh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (- 24a b - 24a b )cosh(x) + (- 56a b - 56a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 12a b - 12a b )cosh(x) + (- 60a b - 60a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (8a b + 8a b )cosh(x) + (- 24a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (6a b + 6a b )cosh(x) - 2a b - 2a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 9 2 3 8 4 7 +--R - 10a b cosh(x) - 18a b cosh(x) - 24a b cosh(x) +--R + +--R 2 3 6 4 5 2 3 4 +--R - 56a b cosh(x) - 12a b cosh(x) - 60a b cosh(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R 8a b cosh(x) - 24a b cosh(x) + 6a b cosh(x) - 2a b +--R * +--R sech(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (- a b - a b )cosh(x) + (- 2a b - 2a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (- 3a b - 3a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 2a b - 2a b )cosh(x) + (- 12a b - 12a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (2a b + 2a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (3a b + 3a b )cosh(x) + (- 2a b - 2a b)cosh(x) + a b + a b +--R * +--R 3 +--R sech(x) +--R + +--R 4 10 2 3 9 4 8 2 3 7 +--R - a b cosh(x) - 2a b cosh(x) - 3a b cosh(x) - 8a b cosh(x) +--R + +--R 4 6 2 3 5 4 4 2 3 3 +--R - 2a b cosh(x) - 12a b cosh(x) + 2a b cosh(x) - 8a b cosh(x) +--R + +--R 4 2 2 3 4 +--R 3a b cosh(x) - 2a b cosh(x) + a b +--R * +--R sech(x) +--R * +--R tanh(x) +--R + +--R 5 2 3 4 10 +--R (- b - 2a b - a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 9 +--R ((- 10b - 20a b - 10a b)cosh(x) - 2a b - 4a b - 2a )sinh(x) +--R + +--R 5 2 3 4 2 +--R (- 45b - 90a b - 45a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 18a b - 36a b - 18a )cosh(x) - 3b - 6a b - 3a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 3 4 3 +--R (- 120b - 240a b - 120a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 72a b - 144a b - 72a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 24b - 48a b - 24a b)cosh(x) - 8a b - 16a b - 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 3 4 4 +--R (- 210b - 420a b - 210a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 84b - 168a b - 84a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 56a b - 112a b - 56a )cosh(x) - 2b - 4a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 3 4 5 +--R (- 252b - 504a b - 252a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 252a b - 504a b - 252a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 168b - 336a b - 168a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 12b - 24a b - 12a b)cosh(x) + 20a b + 40a b + 20a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 3 4 6 +--R (- 210b - 420a b - 210a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 252a b - 504a b - 252a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 210b - 420a b - 210a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 280a b - 560a b - 280a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 30b - 60a b - 30a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (100a b + 200a b + 100a )cosh(x) + 2b + 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 4 7 +--R (- 120b - 240a b - 120a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 168b - 336a b - 168a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 280a b - 560a b - 280a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 40b - 80a b - 40a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (200a b + 400a b + 200a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (8b + 16a b + 8a b)cosh(x) - 8a b - 16a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 8 +--R (- 45b - 90a b - 45a b)cosh(x) +--R + +--R 4 3 2 5 7 +--R (- 72a b - 144a b - 72a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (- 84b - 168a b - 84a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (- 30b - 60a b - 30a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (200a b + 400a b + 200a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (12b + 24a b + 12a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 24a b - 48a b - 24a )cosh(x) + 3b + 6a b + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 9 +--R (- 10b - 20a b - 10a b)cosh(x) +--R + +--R 4 3 2 5 8 +--R (- 18a b - 36a b - 18a )cosh(x) +--R + +--R 5 2 3 4 7 +--R (- 24b - 48a b - 24a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (- 56a b - 112a b - 56a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (- 12b - 24a b - 12a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (100a b + 200a b + 100a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (8b + 16a b + 8a b)cosh(x) +--R + +--R 4 3 2 5 2 5 2 3 4 +--R (- 24a b - 48a b - 24a )cosh(x) + (6b + 12a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 +--R - 2a b - 4a b - 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 10 4 3 2 5 9 +--R (- b - 2a b - a b)cosh(x) + (- 2a b - 4a b - 2a )cosh(x) +--R + +--R 5 2 3 4 8 4 3 2 5 7 +--R (- 3b - 6a b - 3a b)cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (- 2b - 4a b - 2a b)cosh(x) + (20a b + 40a b + 20a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (2b + 4a b + 2a b)cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 +--R (3b + 6a b + 3a b)cosh(x) + (- 2a b - 4a b - 2a )cosh(x) + b +--R + +--R 2 3 4 +--R 2a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 10 +--R (4a b + 2a b )sinh(x) +--R + +--R 4 3 2 2 3 4 9 +--R ((40a b + 20a b )cosh(x) + 8a b + 4a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (180a b + 90a b )cosh(x) + (72a b + 36a b)cosh(x) + 12a b +--R + +--R 3 2 +--R 6a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (480a b + 240a b )cosh(x) + (288a b + 144a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (96a b + 48a b )cosh(x) + 32a b + 16a b +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (840a b + 420a b )cosh(x) + (672a b + 336a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (336a b + 168a b )cosh(x) + (224a b + 112a b)cosh(x) + 8a b +--R + +--R 3 2 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (1008a b + 504a b )cosh(x) + (1008a b + 504a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (672a b + 336a b )cosh(x) + (672a b + 336a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (48a b + 24a b )cosh(x) - 64b - 80a b - 40a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (840a b + 420a b )cosh(x) + (1008a b + 504a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (840a b + 420a b )cosh(x) + (1120a b + 560a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (120a b + 60a b )cosh(x) + (- 320b - 400a b - 200a b)cosh(x) +--R + +--R 4 3 2 +--R - 8a b - 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (480a b + 240a b )cosh(x) + (672a b + 336a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (672a b + 336a b )cosh(x) + (1120a b + 560a b)cosh(x) +--R + +--R 4 3 2 3 5 2 3 4 2 +--R (160a b + 80a b )cosh(x) + (- 640b - 800a b - 400a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 32a b - 16a b )cosh(x) + 32a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (180a b + 90a b )cosh(x) + (288a b + 144a b)cosh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (336a b + 168a b )cosh(x) + (672a b + 336a b)cosh(x) +--R + +--R 4 3 2 4 5 2 3 4 3 +--R (120a b + 60a b )cosh(x) + (- 640b - 800a b - 400a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (- 48a b - 24a b )cosh(x) + (96a b + 48a b)cosh(x) - 12a b +--R + +--R 3 2 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 9 2 3 4 8 +--R (40a b + 20a b )cosh(x) + (72a b + 36a b)cosh(x) +--R + +--R 4 3 2 7 2 3 4 6 +--R (96a b + 48a b )cosh(x) + (224a b + 112a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 4 +--R (48a b + 24a b )cosh(x) + (- 320b - 400a b - 200a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 32a b - 16a b )cosh(x) + (96a b + 48a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 24a b - 12a b )cosh(x) + 8a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 3 2 10 2 3 4 9 +--R (4a b + 2a b )cosh(x) + (8a b + 4a b)cosh(x) +--R + +--R 4 3 2 8 2 3 4 7 +--R (12a b + 6a b )cosh(x) + (32a b + 16a b)cosh(x) +--R + +--R 4 3 2 6 5 2 3 4 5 +--R (8a b + 4a b )cosh(x) + (- 64b - 80a b - 40a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 8a b - 4a b )cosh(x) + (32a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 12a b - 6a b )cosh(x) + (8a b + 4a b)cosh(x) - 4a b - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 2 3 4 10 +--R (b + 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 9 +--R ((10b + 20a b + 10a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (45b + 90a b + 45a b)cosh(x) + (18a b + 36a b + 18a )cosh(x) +--R + +--R 5 2 3 4 +--R 3b + 6a b + 3a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 3 4 3 +--R (120b + 240a b + 120a b)cosh(x) +--R + +--R 4 3 2 5 2 5 2 3 4 +--R (72a b + 144a b + 72a )cosh(x) + (24b + 48a b + 24a b)cosh(x) +--R + +--R 4 3 2 5 +--R 8a b + 16a b + 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 3 4 4 +--R (210b + 420a b + 210a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (84b + 168a b + 84a b)cosh(x) + (56a b + 112a b + 56a )cosh(x) +--R + +--R 5 2 3 4 +--R 2b + 4a b + 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 3 4 5 +--R (252b + 504a b + 252a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (252a b + 504a b + 252a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (168b + 336a b + 168a b)cosh(x) +--R + +--R 4 3 2 5 2 5 2 3 4 +--R (168a b + 336a b + 168a )cosh(x) + (12b + 24a b + 12a b)cosh(x) +--R + +--R 4 3 2 5 +--R - 20a b - 40a b - 20a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 3 4 6 +--R (210b + 420a b + 210a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (252a b + 504a b + 252a )cosh(x) +--R + +--R 5 2 3 4 4 +--R (210b + 420a b + 210a b)cosh(x) +--R + +--R 4 3 2 5 3 5 2 3 4 2 +--R (280a b + 560a b + 280a )cosh(x) + (30b + 60a b + 30a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 100a b - 200a b - 100a )cosh(x) - 2b - 4a b - 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 4 7 +--R (120b + 240a b + 120a b)cosh(x) +--R + +--R 4 3 2 5 6 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (168b + 336a b + 168a b)cosh(x) +--R + +--R 4 3 2 5 4 5 2 3 4 3 +--R (280a b + 560a b + 280a )cosh(x) + (40b + 80a b + 40a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 200a b - 400a b - 200a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 8b - 16a b - 8a b)cosh(x) + 8a b + 16a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 8 4 3 2 5 7 +--R (45b + 90a b + 45a b)cosh(x) + (72a b + 144a b + 72a )cosh(x) +--R + +--R 5 2 3 4 6 +--R (84b + 168a b + 84a b)cosh(x) +--R + +--R 4 3 2 5 5 5 2 3 4 4 +--R (168a b + 336a b + 168a )cosh(x) + (30b + 60a b + 30a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 200a b - 400a b - 200a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (- 12b - 24a b - 12a b)cosh(x) + (24a b + 48a b + 24a )cosh(x) +--R + +--R 5 2 3 4 +--R - 3b - 6a b - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 9 4 3 2 5 8 +--R (10b + 20a b + 10a b)cosh(x) + (18a b + 36a b + 18a )cosh(x) +--R + +--R 5 2 3 4 7 4 3 2 5 6 +--R (24b + 48a b + 24a b)cosh(x) + (56a b + 112a b + 56a )cosh(x) +--R + +--R 5 2 3 4 5 +--R (12b + 24a b + 12a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 100a b - 200a b - 100a )cosh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (- 8b - 16a b - 8a b)cosh(x) + (24a b + 48a b + 24a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 6b - 12a b - 6a b)cosh(x) + 2a b + 4a b + 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 10 4 3 2 5 9 +--R (b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 5 2 3 4 8 4 3 2 5 7 +--R (3b + 6a b + 3a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (2b + 4a b + 2a b)cosh(x) + (- 20a b - 40a b - 20a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (- 2b - 4a b - 2a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 +--R (- 3b - 6a b - 3a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) - b +--R + +--R 2 3 4 +--R - 2a b - a b +--R / +--R 5 3 3 5 10 +--R (a b + 2a b + a b)sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 9 +--R ((10a b + 20a b + 10a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 3 3 5 2 +--R (45a b + 90a b + 45a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (18a b + 36a b + 18a )cosh(x) + 3a b + 6a b + 3a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 3 3 5 3 +--R (120a b + 240a b + 120a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (72a b + 144a b + 72a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (24a b + 48a b + 24a b)cosh(x) + 8a b + 16a b + 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 3 3 5 4 +--R (210a b + 420a b + 210a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (84a b + 168a b + 84a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (56a b + 112a b + 56a )cosh(x) + 2a b + 4a b + 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 3 3 5 5 +--R (252a b + 504a b + 252a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (252a b + 504a b + 252a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (168a b + 336a b + 168a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (12a b + 24a b + 12a b)cosh(x) + 12a b + 24a b + 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 5 6 +--R (210a b + 420a b + 210a b)cosh(x) +--R + +--R 2 4 4 2 6 5 +--R (252a b + 504a b + 252a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (210a b + 420a b + 210a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (280a b + 560a b + 280a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (30a b + 60a b + 30a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (60a b + 120a b + 60a )cosh(x) - 2a b - 4a b - 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 5 7 +--R (120a b + 240a b + 120a b)cosh(x) +--R + +--R 2 4 4 2 6 6 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 3 3 5 5 +--R (168a b + 336a b + 168a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (280a b + 560a b + 280a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (40a b + 80a b + 40a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (120a b + 240a b + 120a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 8a b - 16a b - 8a b)cosh(x) + 8a b + 16a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 5 8 +--R (45a b + 90a b + 45a b)cosh(x) +--R + +--R 2 4 4 2 6 7 +--R (72a b + 144a b + 72a )cosh(x) +--R + +--R 5 3 3 5 6 +--R (84a b + 168a b + 84a b)cosh(x) +--R + +--R 2 4 4 2 6 5 +--R (168a b + 336a b + 168a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (30a b + 60a b + 30a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (120a b + 240a b + 120a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 12a b - 24a b - 12a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (24a b + 48a b + 24a )cosh(x) - 3a b - 6a b - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 5 9 +--R (10a b + 20a b + 10a b)cosh(x) +--R + +--R 2 4 4 2 6 8 +--R (18a b + 36a b + 18a )cosh(x) +--R + +--R 5 3 3 5 7 +--R (24a b + 48a b + 24a b)cosh(x) +--R + +--R 2 4 4 2 6 6 +--R (56a b + 112a b + 56a )cosh(x) +--R + +--R 5 3 3 5 5 +--R (12a b + 24a b + 12a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (60a b + 120a b + 60a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 8a b - 16a b - 8a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (24a b + 48a b + 24a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 6a b - 12a b - 6a b)cosh(x) + 2a b + 4a b + 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 10 2 4 4 2 6 9 +--R (a b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 5 3 3 5 8 2 4 4 2 6 7 +--R (3a b + 6a b + 3a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (2a b + 4a b + 2a b)cosh(x) + (12a b + 24a b + 12a )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (- 2a b - 4a b - 2a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (- 3a b - 6a b - 3a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 5 3 3 5 +--R - a b - 2a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 2 4 4 2 10 +--R (- 2b - 4a b - 2a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 9 +--R ((- 20b - 40a b - 20a b )cosh(x) - 4a b - 8a b - 4a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 90b - 180a b - 90a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 36a b - 72a b - 36a b)cosh(x) - 6b - 12a b - 6a b +--R * +--R 8 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 240b - 480a b - 240a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 144a b - 288a b - 144a b)cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 48b - 96a b - 48a b )cosh(x) - 16a b - 32a b - 16a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 420b - 840a b - 420a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 336a b - 672a b - 336a b)cosh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 168b - 336a b - 168a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 112a b - 224a b - 112a b)cosh(x) - 4b - 8a b - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 504b - 1008a b - 504a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 504a b - 1008a b - 504a b)cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 336b - 672a b - 336a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 336a b - 672a b - 336a b)cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 24b - 48a b - 24a b )cosh(x) - 24a b - 48a b - 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 +--R (- 420b - 840a b - 420a b )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 504a b - 1008a b - 504a b)cosh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 420b - 840a b - 420a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 560a b - 1120a b - 560a b)cosh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 60b - 120a b - 60a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 120a b - 240a b - 120a b)cosh(x) + 4b + 8a b + 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 7 +--R (- 240b - 480a b - 240a b )cosh(x) +--R + +--R 5 3 3 5 6 +--R (- 336a b - 672a b - 336a b)cosh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 336b - 672a b - 336a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 560a b - 1120a b - 560a b)cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 80b - 160a b - 80a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 240a b - 480a b - 240a b)cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (16b + 32a b + 16a b )cosh(x) - 16a b - 32a b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 8 +--R (- 90b - 180a b - 90a b )cosh(x) +--R + +--R 5 3 3 5 7 +--R (- 144a b - 288a b - 144a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R (- 168b - 336a b - 168a b )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 336a b - 672a b - 336a b)cosh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 60b - 120a b - 60a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 240a b - 480a b - 240a b)cosh(x) +--R + +--R 6 2 4 4 2 2 +--R (24b + 48a b + 24a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 48a b - 96a b - 48a b)cosh(x) + 6b + 12a b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 9 +--R (- 20b - 40a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 8 +--R (- 36a b - 72a b - 36a b)cosh(x) +--R + +--R 6 2 4 4 2 7 +--R (- 48b - 96a b - 48a b )cosh(x) +--R + +--R 5 3 3 5 6 +--R (- 112a b - 224a b - 112a b)cosh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 24b - 48a b - 24a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 120a b - 240a b - 120a b)cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (16b + 32a b + 16a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 48a b - 96a b - 48a b)cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (12b + 24a b + 12a b )cosh(x) - 4a b - 8a b - 4a b +--R * +--R sinh(x) +--R + +--R 6 2 4 4 2 10 5 3 3 5 9 +--R (- 2b - 4a b - 2a b )cosh(x) + (- 4a b - 8a b - 4a b)cosh(x) +--R + +--R 6 2 4 4 2 8 +--R (- 6b - 12a b - 6a b )cosh(x) +--R + +--R 5 3 3 5 7 6 2 4 4 2 6 +--R (- 16a b - 32a b - 16a b)cosh(x) + (- 4b - 8a b - 4a b )cosh(x) +--R + +--R 5 3 3 5 5 6 2 4 4 2 4 +--R (- 24a b - 48a b - 24a b)cosh(x) + (4b + 8a b + 4a b )cosh(x) +--R + +--R 5 3 3 5 3 6 2 4 4 2 2 +--R (- 16a b - 32a b - 16a b)cosh(x) + (6b + 12a b + 6a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 4a b - 8a b - 4a b)cosh(x) + 2b + 4a b + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 3 3 5 10 +--R (- a b - 2a b - a b)sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 9 +--R ((- 10a b - 20a b - 10a b)cosh(x) - 2a b - 4a b - 2a )sinh(x) +--R + +--R 5 3 3 5 2 +--R (- 45a b - 90a b - 45a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 18a b - 36a b - 18a )cosh(x) - 3a b - 6a b - 3a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 3 3 5 3 +--R (- 120a b - 240a b - 120a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (- 72a b - 144a b - 72a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 24a b - 48a b - 24a b)cosh(x) - 8a b - 16a b - 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 5 3 3 5 4 +--R (- 210a b - 420a b - 210a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 84a b - 168a b - 84a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 56a b - 112a b - 56a )cosh(x) - 2a b - 4a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 3 3 5 5 +--R (- 252a b - 504a b - 252a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (- 252a b - 504a b - 252a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 168a b - 336a b - 168a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 12a b - 24a b - 12a b)cosh(x) - 12a b - 24a b - 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 5 6 +--R (- 210a b - 420a b - 210a b)cosh(x) +--R + +--R 2 4 4 2 6 5 +--R (- 252a b - 504a b - 252a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 210a b - 420a b - 210a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 280a b - 560a b - 280a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 30a b - 60a b - 30a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 60a b - 120a b - 60a )cosh(x) + 2a b + 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 5 7 +--R (- 120a b - 240a b - 120a b)cosh(x) +--R + +--R 2 4 4 2 6 6 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 168a b - 336a b - 168a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (- 280a b - 560a b - 280a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 40a b - 80a b - 40a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (- 120a b - 240a b - 120a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (8a b + 16a b + 8a b)cosh(x) - 8a b - 16a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 5 8 +--R (- 45a b - 90a b - 45a b)cosh(x) +--R + +--R 2 4 4 2 6 7 +--R (- 72a b - 144a b - 72a )cosh(x) +--R + +--R 5 3 3 5 6 +--R (- 84a b - 168a b - 84a b)cosh(x) +--R + +--R 2 4 4 2 6 5 +--R (- 168a b - 336a b - 168a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 30a b - 60a b - 30a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 120a b - 240a b - 120a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (12a b + 24a b + 12a b)cosh(x) + (- 24a b - 48a b - 24a )cosh(x) +--R + +--R 5 3 3 5 +--R 3a b + 6a b + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 5 9 +--R (- 10a b - 20a b - 10a b)cosh(x) +--R + +--R 2 4 4 2 6 8 +--R (- 18a b - 36a b - 18a )cosh(x) +--R + +--R 5 3 3 5 7 +--R (- 24a b - 48a b - 24a b)cosh(x) +--R + +--R 2 4 4 2 6 6 +--R (- 56a b - 112a b - 56a )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 12a b - 24a b - 12a b)cosh(x) +--R + +--R 2 4 4 2 6 4 5 3 3 5 3 +--R (- 60a b - 120a b - 60a )cosh(x) + (8a b + 16a b + 8a b)cosh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 +--R (- 24a b - 48a b - 24a )cosh(x) + (6a b + 12a b + 6a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R - 2a b - 4a b - 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 10 2 4 4 2 6 9 +--R (- a b - 2a b - a b)cosh(x) + (- 2a b - 4a b - 2a )cosh(x) +--R + +--R 5 3 3 5 8 2 4 4 2 6 7 +--R (- 3a b - 6a b - 3a b)cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (- 2a b - 4a b - 2a b)cosh(x) + (- 12a b - 24a b - 12a )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (2a b + 4a b + 2a b)cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 5 +--R (3a b + 6a b + 3a b)cosh(x) + (- 2a b - 4a b - 2a )cosh(x) + a b +--R + +--R 3 3 5 +--R 2a b + a b +--R Type: Expression Integer +--E 95 + +--S 96 of 530 +t0519:= sech(x)/(%i+sinh(x)) +--R +--R +--R sech(x) +--R (95) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 96 + +--S 97 of 530 +r0519:= -1/2*%i*atan(sinh(x))-%i/(2*%i+2*sinh(x)) +--R +--R +--R 1 1 1 +--R (- - %i sinh(x) + -)atan(sinh(x)) - - %i +--R 2 2 2 +--R (96) ---------------------------------------- +--R sinh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 97 + +--S 98 of 530 +a0519:= integrate(t0519,x) +--R +--R +--R (97) +--R 2 2 +--R (sinh(x) + (2cosh(x) + 2%i)sinh(x) + cosh(x) + 2%i cosh(x) - 1) +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 2 2 +--R (- sinh(x) + (- 2cosh(x) - 2%i)sinh(x) - cosh(x) - 2%i cosh(x) + 1) +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R - 2%i sinh(x) - 2%i cosh(x) +--R / +--R 2 2 +--R 2sinh(x) + (4cosh(x) + 4%i)sinh(x) + 2cosh(x) + 4%i cosh(x) - 2 +--R Type: Union(Expression Complex Integer,...) +--E 98 + +--S 99 of 530 +m0519:= a0519-r0519 +--R +--R +--R (98) +--R 1 3 3 2 +--R - sinh(x) + (cosh(x) + - %i)sinh(x) +--R 2 2 +--R + +--R 1 2 3 1 2 1 +--R (- cosh(x) + 2%i cosh(x) - -)sinh(x) + - %i cosh(x) - cosh(x) - - %i +--R 2 2 2 2 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 1 3 3 2 +--R - - sinh(x) + (- cosh(x) - - %i)sinh(x) +--R 2 2 +--R + +--R 1 2 3 1 2 +--R (- - cosh(x) - 2%i cosh(x) + -)sinh(x) - - %i cosh(x) + cosh(x) +--R 2 2 2 +--R + +--R 1 +--R - %i +--R 2 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 1 3 3 2 +--R - %i sinh(x) + (%i cosh(x) - -)sinh(x) +--R 2 2 +--R + +--R 1 2 3 1 2 1 +--R (- %i cosh(x) - 2cosh(x) - - %i)sinh(x) - - cosh(x) - %i cosh(x) + - +--R 2 2 2 2 +--R * +--R atan(sinh(x)) +--R + +--R 1 2 1 2 1 +--R - - %i sinh(x) + - %i cosh(x) - - %i +--R 2 2 2 +--R / +--R 3 2 2 +--R sinh(x) + (2cosh(x) + 3%i)sinh(x) + (cosh(x) + 4%i cosh(x) - 3)sinh(x) +--R + +--R 2 +--R %i cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 99 + +--S 100 of 530 +d0519:= D(m0519,x) +--R +--R +--R (99) +--R 5 4 3 +--R 4sinh(x) + (7cosh(x) + 4%i)sinh(x) + (6%i cosh(x) + 4)sinh(x) +--R + +--R 3 2 2 +--R (- 6cosh(x) - 2%i cosh(x) + 8cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 5 +--R (- 4cosh(x) - 6%i cosh(x) + 4cosh(x) + 6%i cosh(x))sinh(x) - cosh(x) +--R + +--R 4 2 +--R - 2%i cosh(x) + 2%i cosh(x) + cosh(x) +--R / +--R 7 6 +--R sinh(x) + (4cosh(x) + 3%i)sinh(x) +--R + +--R 2 5 +--R (6cosh(x) + 10%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) + 12%i cosh(x) - 2cosh(x) + 5%i)sinh(x) +--R + +--R 4 3 3 +--R (cosh(x) + 6%i cosh(x) + 12%i cosh(x) - 5)sinh(x) +--R + +--R 4 3 2 2 +--R (%i cosh(x) + 2cosh(x) + 12%i cosh(x) - 8cosh(x) + %i)sinh(x) +--R + +--R 4 3 2 +--R (cosh(x) + 6%i cosh(x) - 6cosh(x) + 2%i cosh(x) - 3)sinh(x) +--R + +--R 4 3 +--R %i cosh(x) - 2cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 100 + +--S 101 of 530 +t0520:= sech(x)^2/(%i+sinh(x)) +--R +--R +--R 2 +--R sech(x) +--R (100) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 101 + +--S 102 of 530 +r0520:= -1/3/cosh(x)^3*(2*%i*sinh(x)*cosh(x)^2+%i*sinh(x)+1) +--R +--R +--R 2 +--R (- 2%i cosh(x) - %i)sinh(x) - 1 +--R (101) -------------------------------- +--R 3 +--R 3cosh(x) +--R Type: Expression Complex Integer +--E 102 + +--S 103 of 530 +a0520:= integrate(t0520,x) +--R +--R +--R (102) +--R - 8sinh(x) - 8cosh(x) - 4%i +--R / +--R 4 3 +--R 3sinh(x) + (12cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (18cosh(x) + 18%i cosh(x))sinh(x) +--R + +--R 3 2 4 3 +--R (12cosh(x) + 18%i cosh(x) + 6%i)sinh(x) + 3cosh(x) + 6%i cosh(x) +--R + +--R 6%i cosh(x) - 3 +--R Type: Union(Expression Complex Integer,...) +--E 103 + +--S 104 of 530 +m0520:= a0520-r0520 +--R +--R +--R (103) +--R 2 5 +--R (2%i cosh(x) + %i)sinh(x) +--R + +--R 3 2 4 +--R (8%i cosh(x) - 4cosh(x) + 4%i cosh(x) - 1)sinh(x) +--R + +--R 4 3 2 3 +--R (12%i cosh(x) - 12cosh(x) + 6%i cosh(x) - 2cosh(x) + 2%i)sinh(x) +--R + +--R 5 4 3 2 +--R 8%i cosh(x) - 12cosh(x) + 4%i cosh(x) - 4cosh(x) + 6%i cosh(x) +--R + +--R - 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 2%i cosh(x) - 4cosh(x) + %i cosh(x) - 10cosh(x) + 4%i cosh(x) +--R + +--R - 2cosh(x) + %i +--R * +--R sinh(x) +--R + +--R 4 3 +--R - 7cosh(x) - 2%i cosh(x) + 2%i cosh(x) - 1 +--R / +--R 3 4 4 3 3 +--R 3cosh(x) sinh(x) + (12cosh(x) + 6%i cosh(x) )sinh(x) +--R + +--R 5 4 2 +--R (18cosh(x) + 18%i cosh(x) )sinh(x) +--R + +--R 6 5 3 7 +--R (12cosh(x) + 18%i cosh(x) + 6%i cosh(x) )sinh(x) + 3cosh(x) +--R + +--R 6 4 3 +--R 6%i cosh(x) + 6%i cosh(x) - 3cosh(x) +--R Type: Expression Complex Integer +--E 104 + +--S 105 of 530 +d0520:= D(m0520,x) +--R +--R +--R (104) +--R 2 8 +--R (- 2%i cosh(x) - 3%i)sinh(x) +--R + +--R 3 2 7 +--R (- 12%i cosh(x) + 4cosh(x) - 18%i cosh(x) + 3)sinh(x) +--R + +--R 4 3 2 6 +--R (- 28%i cosh(x) + 20cosh(x) - 46%i cosh(x) + 12cosh(x) - 9%i)sinh(x) +--R + +--R 5 4 3 2 +--R - 28%i cosh(x) + 36cosh(x) - 62%i cosh(x) + 21cosh(x) +--R + +--R - 42%i cosh(x) + 9 +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) - 40%i cosh(x) + 14cosh(x) - 75%i cosh(x) + 24cosh(x) +--R + +--R - 9%i +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 28%i cosh(x) - 20cosh(x) + 2%i cosh(x) + 5cosh(x) - 64%i cosh(x) +--R + +--R 2 +--R 18cosh(x) - 30%i cosh(x) + 9 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 28%i cosh(x) - 36cosh(x) + 22%i cosh(x) + 24cosh(x) +--R + +--R 4 3 2 +--R - 27%i cosh(x) - 8cosh(x) - 32%i cosh(x) + 12cosh(x) - 3%i +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 12%i cosh(x) - 20cosh(x) + 14%i cosh(x) + 35cosh(x) +--R + +--R 5 4 3 2 +--R - 6%i cosh(x) - 19cosh(x) - 14%i cosh(x) + cosh(x) - 6%i cosh(x) +--R + +--R 3 +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R 2%i cosh(x) - 4cosh(x) + 3%i cosh(x) + 14cosh(x) - %i cosh(x) +--R + +--R 5 4 3 2 +--R - 8cosh(x) - 3%i cosh(x) - 2cosh(x) - %i cosh(x) +--R / +--R 4 6 5 4 5 +--R 3cosh(x) sinh(x) + (18cosh(x) + 6%i cosh(x) )sinh(x) +--R + +--R 6 5 4 4 +--R (45cosh(x) + 30%i cosh(x) + 3cosh(x) )sinh(x) +--R + +--R 7 6 5 4 3 +--R (60cosh(x) + 60%i cosh(x) + 12cosh(x) + 12%i cosh(x) )sinh(x) +--R + +--R 8 7 6 5 4 +--R (45cosh(x) + 60%i cosh(x) + 18cosh(x) + 36%i cosh(x) - 3cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 7 6 5 +--R 18cosh(x) + 30%i cosh(x) + 12cosh(x) + 36%i cosh(x) - 6cosh(x) +--R + +--R 4 +--R 6%i cosh(x) +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R 3cosh(x) + 6%i cosh(x) + 3cosh(x) + 12%i cosh(x) - 3cosh(x) +--R + +--R 5 4 +--R 6%i cosh(x) - 3cosh(x) +--R Type: Expression Complex Integer +--E 105 + +--S 106 of 530 +t0521:= sech(x)^3/(%i+sinh(x)) +--R +--R +--R 3 +--R sech(x) +--R (105) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 106 + +--S 107 of 530 +r0521:= -3/8*%i*atan(sinh(x))+%i/(8*%i-8*sinh(x))+_ + 1/8/(%i+sinh(x))^2-%i/(4*%i+4*sinh(x)) +--R +--R +--R (106) +--R 3 3 3 2 3 3 +--R (- - %i sinh(x) + - sinh(x) - - %i sinh(x) + -)atan(sinh(x)) +--R 8 8 8 8 +--R + +--R 3 2 3 1 +--R - - %i sinh(x) + - sinh(x) - - %i +--R 8 8 4 +--R / +--R 3 2 +--R sinh(x) + %i sinh(x) + sinh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 107 + +--S 108 of 530 +a0521:= integrate(t0521,x) +--R +--R +--R (107) +--R 6 5 +--R 3sinh(x) + (18cosh(x) + 6%i)sinh(x) +--R + +--R 2 4 +--R (45cosh(x) + 30%i cosh(x) + 3)sinh(x) +--R + +--R 3 2 3 +--R (60cosh(x) + 60%i cosh(x) + 12cosh(x) + 12%i)sinh(x) +--R + +--R 4 3 2 2 +--R (45cosh(x) + 60%i cosh(x) + 18cosh(x) + 36%i cosh(x) - 3)sinh(x) +--R + +--R 5 4 3 2 +--R 18cosh(x) + 30%i cosh(x) + 12cosh(x) + 36%i cosh(x) +--R + +--R - 6cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 3cosh(x) + 6%i cosh(x) + 3cosh(x) + 12%i cosh(x) - 3cosh(x) +--R + +--R 6%i cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 6 5 +--R - 3sinh(x) + (- 18cosh(x) - 6%i)sinh(x) +--R + +--R 2 4 +--R (- 45cosh(x) - 30%i cosh(x) - 3)sinh(x) +--R + +--R 3 2 3 +--R (- 60cosh(x) - 60%i cosh(x) - 12cosh(x) - 12%i)sinh(x) +--R + +--R 4 3 2 +--R (- 45cosh(x) - 60%i cosh(x) - 18cosh(x) - 36%i cosh(x) + 3) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 18cosh(x) - 30%i cosh(x) - 12cosh(x) - 36%i cosh(x) +--R + +--R 6cosh(x) - 6%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 3cosh(x) - 6%i cosh(x) - 3cosh(x) - 12%i cosh(x) + 3cosh(x) +--R + +--R - 6%i cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 5 4 +--R - 6%i sinh(x) + (- 30%i cosh(x) + 12)sinh(x) +--R + +--R 2 3 +--R (- 60%i cosh(x) + 48cosh(x) - 4%i)sinh(x) +--R + +--R 3 2 2 +--R (- 60%i cosh(x) + 72cosh(x) - 12%i cosh(x) - 12)sinh(x) +--R + +--R 4 3 2 +--R (- 30%i cosh(x) + 48cosh(x) - 12%i cosh(x) - 24cosh(x) - 6%i)sinh(x) +--R + +--R 5 4 3 2 +--R - 6%i cosh(x) + 12cosh(x) - 4%i cosh(x) - 12cosh(x) - 6%i cosh(x) +--R / +--R 6 5 +--R 8sinh(x) + (48cosh(x) + 16%i)sinh(x) +--R + +--R 2 4 +--R (120cosh(x) + 80%i cosh(x) + 8)sinh(x) +--R + +--R 3 2 3 +--R (160cosh(x) + 160%i cosh(x) + 32cosh(x) + 32%i)sinh(x) +--R + +--R 4 3 2 2 +--R (120cosh(x) + 160%i cosh(x) + 48cosh(x) + 96%i cosh(x) - 8)sinh(x) +--R + +--R 5 4 3 2 +--R 48cosh(x) + 80%i cosh(x) + 32cosh(x) + 96%i cosh(x) - 16cosh(x) +--R + +--R 16%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8cosh(x) + 16%i cosh(x) + 8cosh(x) + 32%i cosh(x) - 8cosh(x) +--R + +--R 16%i cosh(x) - 8 +--R Type: Union(Expression Complex Integer,...) +--E 108 + +--S 109 of 530 +m0521:= a0521-r0521 +--R +--R +--R (108) +--R 3 9 9 9 8 +--R - sinh(x) + (- cosh(x) + - %i)sinh(x) +--R 8 4 8 +--R + +--R 45 2 7 +--R (-- cosh(x) + 6%i cosh(x))sinh(x) +--R 8 +--R + +--R 15 3 105 2 6 +--R (-- cosh(x) + --- %i cosh(x) + 3%i)sinh(x) +--R 2 8 +--R + +--R 45 4 3 3 2 9 5 +--R (-- cosh(x) + 15%i cosh(x) + - cosh(x) + 12%i cosh(x) - -)sinh(x) +--R 8 8 4 +--R + +--R 9 5 75 4 3 3 159 2 +--R - cosh(x) + -- %i cosh(x) + - cosh(x) + --- %i cosh(x) +--R 4 8 2 8 +--R + +--R 15 9 +--R - -- cosh(x) + - %i +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 6 5 9 4 3 +--R - cosh(x) + 3%i cosh(x) + - cosh(x) + 18%i cosh(x) +--R 8 4 +--R + +--R 81 2 +--R - -- cosh(x) + 6%i cosh(x) - 3 +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 5 39 4 15 3 +--R - %i cosh(x) + - cosh(x) + -- %i cosh(x) - -- cosh(x) +--R 8 2 4 2 +--R + +--R 51 2 +--R -- %i cosh(x) - 6cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 5 27 4 3 +--R - cosh(x) + 3%i cosh(x) - -- cosh(x) + 3%i cosh(x) +--R 8 8 +--R + +--R 39 2 9 +--R - -- cosh(x) - - +--R 8 8 +--R * +--R sinh(x) +--R + +--R 3 6 3 5 3 4 3 3 +--R - %i cosh(x) - - cosh(x) + - %i cosh(x) - - cosh(x) +--R 8 4 8 2 +--R + +--R 3 2 3 3 +--R - - %i cosh(x) - - cosh(x) - - %i +--R 8 4 8 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 3 9 9 9 8 +--R - - sinh(x) + (- - cosh(x) - - %i)sinh(x) +--R 8 4 8 +--R + +--R 45 2 7 +--R (- -- cosh(x) - 6%i cosh(x))sinh(x) +--R 8 +--R + +--R 15 3 105 2 6 +--R (- -- cosh(x) - --- %i cosh(x) - 3%i)sinh(x) +--R 2 8 +--R + +--R 45 4 3 3 2 9 +--R (- -- cosh(x) - 15%i cosh(x) - - cosh(x) - 12%i cosh(x) + -) +--R 8 8 4 +--R * +--R 5 +--R sinh(x) +--R + +--R 9 5 75 4 3 3 159 2 +--R - - cosh(x) - -- %i cosh(x) - - cosh(x) - --- %i cosh(x) +--R 4 8 2 8 +--R + +--R 15 9 +--R -- cosh(x) - - %i +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 6 5 9 4 3 +--R - - cosh(x) - 3%i cosh(x) - - cosh(x) - 18%i cosh(x) +--R 8 4 +--R + +--R 81 2 +--R -- cosh(x) - 6%i cosh(x) + 3 +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 5 39 4 15 3 +--R - - %i cosh(x) - - cosh(x) - -- %i cosh(x) + -- cosh(x) +--R 8 2 4 2 +--R + +--R 51 2 +--R - -- %i cosh(x) + 6cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 5 27 4 3 +--R - - cosh(x) - 3%i cosh(x) + -- cosh(x) - 3%i cosh(x) +--R 8 8 +--R + +--R 39 2 9 +--R -- cosh(x) + - +--R 8 8 +--R * +--R sinh(x) +--R + +--R 3 6 3 5 3 4 3 3 +--R - - %i cosh(x) + - cosh(x) - - %i cosh(x) + - cosh(x) +--R 8 4 8 2 +--R + +--R 3 2 3 3 +--R - %i cosh(x) + - cosh(x) + - %i +--R 8 4 8 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 3 9 9 9 8 +--R - %i sinh(x) + (- %i cosh(x) - -)sinh(x) +--R 8 4 8 +--R + +--R 45 2 7 +--R (-- %i cosh(x) - 6cosh(x))sinh(x) +--R 8 +--R + +--R 15 3 105 2 6 +--R (-- %i cosh(x) - --- cosh(x) - 3)sinh(x) +--R 2 8 +--R + +--R 45 4 3 3 2 9 +--R (-- %i cosh(x) - 15cosh(x) + - %i cosh(x) - 12cosh(x) - - %i) +--R 8 8 4 +--R * +--R 5 +--R sinh(x) +--R + +--R 9 5 75 4 3 3 159 2 +--R - %i cosh(x) - -- cosh(x) + - %i cosh(x) - --- cosh(x) +--R 4 8 2 8 +--R + +--R 15 9 +--R - -- %i cosh(x) - - +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 6 5 9 4 3 +--R - %i cosh(x) - 3cosh(x) + - %i cosh(x) - 18cosh(x) +--R 8 4 +--R + +--R 81 2 +--R - -- %i cosh(x) - 6cosh(x) - 3%i +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 5 39 4 15 3 +--R - - cosh(x) + - %i cosh(x) - -- cosh(x) - -- %i cosh(x) +--R 8 2 4 2 +--R + +--R 51 2 +--R - -- cosh(x) - 6%i cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 5 27 4 3 +--R - %i cosh(x) - 3cosh(x) - -- %i cosh(x) - 3cosh(x) +--R 8 8 +--R + +--R 39 2 9 +--R - -- %i cosh(x) - - %i +--R 8 8 +--R * +--R sinh(x) +--R + +--R 3 6 3 5 3 4 3 3 +--R - - cosh(x) - - %i cosh(x) - - cosh(x) - - %i cosh(x) +--R 8 4 8 2 +--R + +--R 3 2 3 3 +--R - cosh(x) - - %i cosh(x) + - +--R 8 4 8 +--R * +--R atan(sinh(x)) +--R + +--R 3 8 3 9 7 +--R - - %i sinh(x) + (- - %i cosh(x) + -)sinh(x) +--R 8 2 8 +--R + +--R 15 2 15 1 6 +--R (- -- %i cosh(x) + -- cosh(x) + - %i)sinh(x) +--R 8 4 8 +--R + +--R 27 2 9 5 +--R (-- cosh(x) - -)sinh(x) +--R 8 8 +--R + +--R 15 4 3 3 3 2 1 23 4 +--R (-- %i cosh(x) - - cosh(x) - - %i cosh(x) - - cosh(x) - -- %i)sinh(x) +--R 8 2 2 4 8 +--R + +--R 3 5 33 4 3 19 2 +--R - %i cosh(x) - -- cosh(x) - 3%i cosh(x) + -- cosh(x) +--R 2 8 4 +--R + +--R 7 13 +--R - - %i cosh(x) - -- +--R 2 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 9 5 15 4 3 +--R - %i cosh(x) - - cosh(x) - -- %i cosh(x) + 6cosh(x) +--R 8 4 8 +--R + +--R 21 2 15 29 +--R -- %i cosh(x) - -- cosh(x) - -- %i +--R 8 4 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 19 4 3 21 2 +--R - - cosh(x) + -- cosh(x) + 5%i cosh(x) - -- cosh(x) - 5%i cosh(x) +--R 8 8 8 +--R + +--R 5 +--R - +--R 8 +--R * +--R sinh(x) +--R + +--R 1 6 1 5 7 4 1 3 7 2 +--R - %i cosh(x) + - cosh(x) + - %i cosh(x) - - cosh(x) - - %i cosh(x) +--R 4 4 4 2 4 +--R + +--R 1 1 +--R - cosh(x) - - %i +--R 4 4 +--R / +--R 9 8 2 7 +--R sinh(x) + (6cosh(x) + 3%i)sinh(x) + (15cosh(x) + 16%i cosh(x))sinh(x) +--R + +--R 3 2 6 +--R (20cosh(x) + 35%i cosh(x) + 8%i)sinh(x) +--R + +--R 4 3 2 5 +--R (15cosh(x) + 40%i cosh(x) + cosh(x) + 32%i cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R 6cosh(x) + 25%i cosh(x) + 4cosh(x) + 53%i cosh(x) - 20cosh(x) +--R + +--R 6%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) + 8%i cosh(x) + 6cosh(x) + 48%i cosh(x) - 27cosh(x) +--R + +--R 16%i cosh(x) - 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R %i cosh(x) + 4cosh(x) + 26%i cosh(x) - 20cosh(x) + 17%i cosh(x) +--R + +--R - 16cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R (cosh(x) + 8%i cosh(x) - 9cosh(x) + 8%i cosh(x) - 13cosh(x) - 3) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R %i cosh(x) - 2cosh(x) + %i cosh(x) - 4cosh(x) - %i cosh(x) +--R + +--R - 2cosh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 109 + +--S 110 of 530 +d0521:= D(m0521,x) +--R +--R +--R (109) +--R 9 8 +--R 16sinh(x) + (63cosh(x) + 16%i)sinh(x) +--R + +--R 2 7 +--R (88cosh(x) + 62%i cosh(x) + 32)sinh(x) +--R + +--R 3 2 6 +--R (36cosh(x) + 82%i cosh(x) + 126cosh(x) + 32%i)sinh(x) +--R + +--R 4 3 2 5 +--R (- 40cosh(x) + 22%i cosh(x) + 180cosh(x) + 122%i cosh(x) + 16)sinh(x) +--R + +--R 5 4 3 2 +--R - 70cosh(x) - 54%i cosh(x) + 98cosh(x) + 162%i cosh(x) +--R + +--R 64cosh(x) + 16%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 56cosh(x) - 70%i cosh(x) - 8cosh(x) + 68%i cosh(x) + 96cosh(x) +--R + +--R 58%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 28cosh(x) - 42%i cosh(x) - 30cosh(x) - 28%i cosh(x) +--R + +--R 3 2 +--R 64cosh(x) + 78%i cosh(x) + 2cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 8cosh(x) - 14%i cosh(x) - 12cosh(x) - 30%i cosh(x) + 16cosh(x) +--R + +--R 3 2 +--R 46%i cosh(x) + 4cosh(x) - 2%i cosh(x) +--R * +--R sinh(x) +--R + +--R 9 8 7 6 4 +--R - cosh(x) - 2%i cosh(x) - 2cosh(x) - 6%i cosh(x) + 10%i cosh(x) +--R + +--R 3 2 +--R 2cosh(x) - 2%i cosh(x) + cosh(x) +--R / +--R 13 12 +--R sinh(x) + (8cosh(x) + 3%i)sinh(x) +--R + +--R 2 11 +--R (28cosh(x) + 22%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 10 +--R (56cosh(x) + 70%i cosh(x) + 14cosh(x) + 14%i)sinh(x) +--R + +--R 4 3 2 9 +--R (70cosh(x) + 126%i cosh(x) + 44cosh(x) + 86%i cosh(x) - 5)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 140%i cosh(x) + 82cosh(x) + 230%i cosh(x) - 26cosh(x) +--R + +--R 25%i +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) + 98%i cosh(x) + 100cosh(x) + 352%i cosh(x) +--R + +--R 2 +--R - 56cosh(x) + 124%i cosh(x) - 20 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 8cosh(x) + 42%i cosh(x) + 82cosh(x) + 340%i cosh(x) - 64cosh(x) +--R + +--R 2 +--R 268%i cosh(x) - 84cosh(x) + 20%i +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 10%i cosh(x) + 44cosh(x) + 214%i cosh(x) - 40cosh(x) +--R + +--R 3 2 +--R 332%i cosh(x) - 152cosh(x) + 76%i cosh(x) - 25 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R %i cosh(x) + 14cosh(x) + 86%i cosh(x) - 10cosh(x) +--R + +--R 4 3 2 +--R 260%i cosh(x) - 156cosh(x) + 124%i cosh(x) - 76cosh(x) + 5%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 2cosh(x) + 20%i cosh(x) + 4cosh(x) + 134%i cosh(x) - 100cosh(x) +--R + +--R 3 2 +--R 112%i cosh(x) - 100cosh(x) + 14%i cosh(x) - 14 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 2%i cosh(x) + 4cosh(x) + 46%i cosh(x) - 42cosh(x) + 60%i cosh(x) +--R + +--R 3 2 +--R - 72cosh(x) + 14%i cosh(x) - 26cosh(x) - 2%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 10%i cosh(x) - 12cosh(x) + 18%i cosh(x) - 30cosh(x) +--R + +--R 3 2 +--R 6%i cosh(x) - 20cosh(x) - 2%i cosh(x) - 3 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 +--R %i cosh(x) - 2cosh(x) + 2%i cosh(x) - 6cosh(x) - 6cosh(x) +--R + +--R 2 +--R - 2%i cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 110 + +--S 111 of 530 +t0522:= sech(x)^4/(%i+sinh(x)) +--R +--R +--R 4 +--R sech(x) +--R (110) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 111 + +--S 112 of 530 +r0522:= -1/15/cosh(x)^5*(8*%i*cosh(x)^4*sinh(x)+_ + 4*%i*sinh(x)*cosh(x)^2+3*%i*sinh(x)+3) +--R +--R +--R 4 2 +--R (- 8%i cosh(x) - 4%i cosh(x) - 3%i)sinh(x) - 3 +--R (111) ------------------------------------------------ +--R 5 +--R 15cosh(x) +--R Type: Expression Complex Integer +--E 112 + +--S 113 of 530 +a0522:= integrate(t0522,x) +--R +--R +--R (112) +--R 2 2 +--R - 96sinh(x) + (- 192cosh(x) - 16%i)sinh(x) - 96cosh(x) - 48%i cosh(x) +--R + +--R - 32 +--R / +--R 7 6 +--R 15sinh(x) + (105cosh(x) + 30%i)sinh(x) +--R + +--R 2 5 +--R (315cosh(x) + 180%i cosh(x) + 30)sinh(x) +--R + +--R 3 2 4 +--R (525cosh(x) + 450%i cosh(x) + 150cosh(x) + 90%i)sinh(x) +--R + +--R 4 3 2 3 +--R (525cosh(x) + 600%i cosh(x) + 300cosh(x) + 360%i cosh(x))sinh(x) +--R + +--R 5 4 3 2 +--R (315cosh(x) + 450%i cosh(x) + 300cosh(x) + 540%i cosh(x) + 90%i) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 105cosh(x) + 180%i cosh(x) + 150cosh(x) + 360%i cosh(x) +--R + +--R 180%i cosh(x) - 15 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 2 +--R 15cosh(x) + 30%i cosh(x) + 30cosh(x) + 90%i cosh(x) + 90%i cosh(x) +--R + +--R - 45cosh(x) + 30%i +--R Type: Union(Expression Complex Integer,...) +--E 113 + +--S 114 of 530 +m0522:= a0522-r0522 +--R +--R +--R (113) +--R 4 2 8 +--R (8%i cosh(x) + 4%i cosh(x) + 3%i)sinh(x) +--R + +--R 5 4 3 2 +--R 56%i cosh(x) - 16cosh(x) + 28%i cosh(x) - 8cosh(x) + 21%i cosh(x) +--R + +--R - 3 +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 168%i cosh(x) - 96cosh(x) + 100%i cosh(x) - 48cosh(x) +--R + +--R 2 +--R 71%i cosh(x) - 15cosh(x) + 12%i +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 280%i cosh(x) - 240cosh(x) + 220%i cosh(x) - 168cosh(x) +--R + +--R 3 2 +--R 145%i cosh(x) - 51cosh(x) + 66%i cosh(x) - 12 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 280%i cosh(x) - 320cosh(x) + 300%i cosh(x) - 352cosh(x) +--R + +--R 4 3 2 +--R 185%i cosh(x) - 111cosh(x) + 150%i cosh(x) - 42cosh(x) + 18%i +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 168%i cosh(x) - 240cosh(x) + 244%i cosh(x) - 408cosh(x) +--R + +--R 5 4 3 2 +--R 143%i cosh(x) - 177cosh(x) + 180%i cosh(x) - 72cosh(x) +--R + +--R 72%i cosh(x) - 18 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 56%i cosh(x) - 96cosh(x) + 108%i cosh(x) - 240cosh(x) +--R + +--R 6 5 4 3 +--R 61%i cosh(x) - 261cosh(x) + 112%i cosh(x) - 60cosh(x) +--R + +--R 2 +--R 104%i cosh(x) - 36cosh(x) + 15%i +--R * +--R 2 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 8%i cosh(x) - 16cosh(x) + 20%i cosh(x) - 56cosh(x) +--R + +--R 7 6 5 4 +--R 11%i cosh(x) - 249cosh(x) + 2%i cosh(x) - 28cosh(x) +--R + +--R 3 2 +--R 60%i cosh(x) - 26cosh(x) + 27%i cosh(x) - 9 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 2 +--R - 93cosh(x) - 42%i cosh(x) - 26cosh(x) + 18%i cosh(x) + 18%i cosh(x) +--R + +--R - 9cosh(x) + 6%i +--R / +--R 5 7 6 5 6 +--R 15cosh(x) sinh(x) + (105cosh(x) + 30%i cosh(x) )sinh(x) +--R + +--R 7 6 5 5 +--R (315cosh(x) + 180%i cosh(x) + 30cosh(x) )sinh(x) +--R + +--R 8 7 6 5 4 +--R (525cosh(x) + 450%i cosh(x) + 150cosh(x) + 90%i cosh(x) )sinh(x) +--R + +--R 9 8 7 6 3 +--R (525cosh(x) + 600%i cosh(x) + 300cosh(x) + 360%i cosh(x) )sinh(x) +--R + +--R 10 9 8 7 +--R 315cosh(x) + 450%i cosh(x) + 300cosh(x) + 540%i cosh(x) +--R + +--R 5 +--R 90%i cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 105cosh(x) + 180%i cosh(x) + 150cosh(x) + 360%i cosh(x) +--R + +--R 6 5 +--R 180%i cosh(x) - 15cosh(x) +--R * +--R sinh(x) +--R + +--R 12 11 10 9 +--R 15cosh(x) + 30%i cosh(x) + 30cosh(x) + 90%i cosh(x) +--R + +--R 7 6 5 +--R 90%i cosh(x) - 45cosh(x) + 30%i cosh(x) +--R Type: Expression Complex Integer +--E 114 + +--S 115 of 530 +d0522:= D(m0522,x) +--R +--R +--R (114) +--R 4 2 16 +--R (- 8%i cosh(x) - 12%i cosh(x) - 15%i)sinh(x) +--R + +--R 5 4 3 2 +--R - 112%i cosh(x) + 32cosh(x) - 168%i cosh(x) + 48cosh(x) +--R + +--R - 210%i cosh(x) + 45 +--R * +--R 15 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 720%i cosh(x) + 416cosh(x) - 1088%i cosh(x) + 624cosh(x) +--R + +--R 2 +--R - 1362%i cosh(x) + 570cosh(x) - 60%i +--R * +--R 14 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 2800%i cosh(x) + 2464cosh(x) - 4312%i cosh(x) + 3888cosh(x) +--R + +--R 3 2 +--R - 5418%i cosh(x) + 3543cosh(x) - 780%i cosh(x) + 300 +--R * +--R 13 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 7280%i cosh(x) + 8736cosh(x) - 11648%i cosh(x) + 15280cosh(x) +--R + +--R 4 3 2 +--R - 14582%i cosh(x) + 14184cosh(x) - 4440%i cosh(x) + 3300cosh(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 13104%i cosh(x) + 20384cosh(x) - 22568%i cosh(x) + 41712cosh(x) +--R + +--R 5 4 3 2 +--R - 27338%i cosh(x) + 40357cosh(x) - 14760%i cosh(x) + 16872cosh(x) +--R + +--R - 300%i cosh(x) + 840 +--R * +--R 11 +--R sinh(x) +--R + +--R 10 9 8 +--R - 16016%i cosh(x) + 32032cosh(x) - 32032%i cosh(x) +--R + +--R 7 6 5 4 +--R 81840cosh(x) - 35002%i cosh(x) + 85070cosh(x) - 31684%i cosh(x) +--R + +--R 3 2 +--R 52728cosh(x) - 2316%i cosh(x) + 7860cosh(x) + 390%i +--R * +--R 10 +--R sinh(x) +--R + +--R 11 10 9 +--R - 11440%i cosh(x) + 32032cosh(x) - 33176%i cosh(x) +--R + +--R 8 7 6 5 +--R 114928cosh(x) - 27874%i cosh(x) + 134695cosh(x) - 45220%i cosh(x) +--R + +--R 4 3 2 +--R 111300cosh(x) - 8100%i cosh(x) + 33120cosh(x) + 2640%i cosh(x) +--R + +--R 1290 +--R * +--R 9 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 13728cosh(x) - 24024%i cosh(x) + 109296cosh(x) - 9636%i cosh(x) +--R + +--R 7 6 5 4 +--R 159636cosh(x) - 41712%i cosh(x) + 164972cosh(x) - 17108%i cosh(x) +--R + +--R 3 2 +--R 82308cosh(x) + 7842%i cosh(x) + 9900cosh(x) + 900%i +--R * +--R 8 +--R sinh(x) +--R + +--R 13 12 11 +--R 11440%i cosh(x) - 13728cosh(x) - 10296%i cosh(x) +--R + +--R 10 9 8 7 +--R 55440cosh(x) + 1386%i cosh(x) + 139263cosh(x) - 20720%i cosh(x) +--R + +--R 6 5 4 3 +--R 172208cosh(x) - 25432%i cosh(x) + 132496cosh(x) + 12624%i cosh(x) +--R + +--R 2 +--R 33180cosh(x) + 5280%i cosh(x) + 1200 +--R * +--R 7 +--R sinh(x) +--R + +--R 14 13 11 +--R 16016%i cosh(x) - 32032cosh(x) - 14256cosh(x) +--R + +--R 10 9 8 7 +--R - 6006%i cosh(x) + 86934cosh(x) + 3196%i cosh(x) + 122576cosh(x) +--R + +--R 6 5 4 3 +--R - 30168%i cosh(x) + 142216cosh(x) + 9612%i cosh(x) + 63132cosh(x) +--R + +--R 2 +--R 13128%i cosh(x) + 7020cosh(x) + 960%i +--R * +--R 6 +--R sinh(x) +--R + +--R 15 14 13 +--R 13104%i cosh(x) - 32032cosh(x) + 3640%i cosh(x) +--R + +--R 12 11 10 +--R - 54384cosh(x) - 20574%i cosh(x) + 37725cosh(x) +--R + +--R 9 8 7 6 +--R 18156%i cosh(x) + 53812cosh(x) - 29032%i cosh(x) + 100256cosh(x) +--R + +--R 5 4 3 2 +--R - 3536%i cosh(x) + 74320cosh(x) + 16944%i cosh(x) + 17328cosh(x) +--R + +--R 4260%i cosh(x) + 720 +--R * +--R 5 +--R sinh(x) +--R + +--R 16 15 14 13 +--R 7280%i cosh(x) - 20384cosh(x) + 2912%i cosh(x) - 51696cosh(x) +--R + +--R 12 11 10 +--R - 24762%i cosh(x) + 12000cosh(x) + 22760%i cosh(x) +--R + +--R 9 8 7 6 +--R 9340cosh(x) - 18440%i cosh(x) + 42600cosh(x) - 17452%i cosh(x) +--R + +--R 5 4 3 2 +--R 55268cosh(x) + 10264%i cosh(x) + 23052cosh(x) + 7536%i cosh(x) +--R + +--R 2700cosh(x) + 525%i +--R * +--R 4 +--R sinh(x) +--R + +--R 17 16 15 14 +--R 2800%i cosh(x) - 8736cosh(x) + 1288%i cosh(x) - 28592cosh(x) +--R + +--R 13 12 11 +--R - 16718%i cosh(x) + 4143cosh(x) + 18968%i cosh(x) +--R + +--R 10 9 8 7 +--R - 3608cosh(x) - 2748%i cosh(x) + 6568cosh(x) - 19856%i cosh(x) +--R + +--R 6 5 4 3 +--R 25636cosh(x) - 624%i cosh(x) + 17776cosh(x) + 6144%i cosh(x) +--R + +--R 2 +--R 4128cosh(x) + 1530%i cosh(x) + 285 +--R * +--R 3 +--R sinh(x) +--R + +--R 18 17 16 15 +--R 720%i cosh(x) - 2464cosh(x) + 352%i cosh(x) - 9840cosh(x) +--R + +--R 14 13 12 +--R - 6782%i cosh(x) + 1954cosh(x) + 10500%i cosh(x) +--R + +--R 11 10 9 8 +--R - 2632cosh(x) + 5668%i cosh(x) - 3964cosh(x) - 11378%i cosh(x) +--R + +--R 7 6 5 4 +--R 7540cosh(x) - 5224%i cosh(x) + 8004cosh(x) + 1680%i cosh(x) +--R + +--R 3 2 +--R 3096cosh(x) + 1464%i cosh(x) + 450cosh(x) + 120%i +--R * +--R 2 +--R sinh(x) +--R + +--R 19 18 17 16 +--R 112%i cosh(x) - 416cosh(x) + 56%i cosh(x) - 1968cosh(x) +--R + +--R 15 14 13 12 +--R - 1558%i cosh(x) + 677cosh(x) + 3396%i cosh(x) - 676cosh(x) +--R + +--R 11 10 9 8 +--R 4172%i cosh(x) - 2944cosh(x) - 3136%i cosh(x) + 1766cosh(x) +--R + +--R 7 6 5 4 +--R - 3168%i cosh(x) + 2096cosh(x) - 468%i cosh(x) + 1168cosh(x) +--R + +--R 3 2 +--R 414%i cosh(x) + 237cosh(x) + 180%i cosh(x) + 60 +--R * +--R sinh(x) +--R + +--R 20 19 18 17 +--R 8%i cosh(x) - 32cosh(x) + 4%i cosh(x) - 176cosh(x) +--R + +--R 16 15 14 13 +--R - 157%i cosh(x) + 100cosh(x) + 480%i cosh(x) - 76cosh(x) +--R + +--R 12 11 10 9 +--R 924%i cosh(x) - 684cosh(x) - 278%i cosh(x) + 352cosh(x) +--R + +--R 8 7 6 5 +--R - 636%i cosh(x) + 324cosh(x) - 272%i cosh(x) + 156cosh(x) +--R + +--R 4 3 2 +--R - 61%i cosh(x) + 36cosh(x) - 12%i cosh(x) +--R / +--R 6 14 7 6 13 +--R 15cosh(x) sinh(x) + (210cosh(x) + 60%i cosh(x) )sinh(x) +--R + +--R 8 7 12 +--R (1365cosh(x) + 780%i cosh(x) )sinh(x) +--R + +--R 9 8 6 11 +--R (5460cosh(x) + 4680%i cosh(x) + 300%i cosh(x) )sinh(x) +--R + +--R 10 9 7 6 +--R (15015cosh(x) + 17160%i cosh(x) + 3300%i cosh(x) - 300cosh(x) ) +--R * +--R 10 +--R sinh(x) +--R + +--R 11 10 8 7 +--R 30030cosh(x) + 42900%i cosh(x) + 16500%i cosh(x) - 3000cosh(x) +--R + +--R 6 +--R 540%i cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 12 11 9 8 +--R 45045cosh(x) + 77220%i cosh(x) + 49500%i cosh(x) - 13500cosh(x) +--R + +--R 7 6 +--R 4860%i cosh(x) - 930cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 13 12 10 +--R 51480cosh(x) + 102960%i cosh(x) + 99000%i cosh(x) +--R + +--R 9 8 7 6 +--R - 36000cosh(x) + 19440%i cosh(x) - 7500cosh(x) + 360%i cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 14 13 11 +--R 45045cosh(x) + 102960%i cosh(x) + 138600%i cosh(x) +--R + +--R 10 9 8 7 +--R - 63000cosh(x) + 45360%i cosh(x) - 26460cosh(x) + 2400%i cosh(x) +--R + +--R 6 +--R - 1260cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 15 14 12 +--R 30030cosh(x) + 77220%i cosh(x) + 138600%i cosh(x) +--R + +--R 11 10 9 +--R - 75600cosh(x) + 68040%i cosh(x) - 53340cosh(x) +--R + +--R 8 7 6 +--R 6840%i cosh(x) - 7680cosh(x) - 60%i cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 16 15 13 +--R 15015cosh(x) + 42900%i cosh(x) + 99000%i cosh(x) +--R + +--R 12 11 10 +--R - 63000cosh(x) + 68040%i cosh(x) - 67200cosh(x) +--R + +--R 9 8 7 6 +--R 10800%i cosh(x) - 19500cosh(x) - 660%i cosh(x) - 900cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 17 16 14 +--R 5460cosh(x) + 17160%i cosh(x) + 49500%i cosh(x) +--R + +--R 13 12 11 +--R - 36000cosh(x) + 45360%i cosh(x) - 54180cosh(x) +--R + +--R 10 9 8 7 +--R 10200%i cosh(x) - 26400cosh(x) - 2040%i cosh(x) - 3600cosh(x) +--R + +--R 6 +--R - 180%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 18 17 15 14 +--R 1365cosh(x) + 4680%i cosh(x) + 16500%i cosh(x) - 13500cosh(x) +--R + +--R 13 12 11 +--R 19440%i cosh(x) - 27300cosh(x) + 5760%i cosh(x) +--R + +--R 10 9 8 7 +--R - 20100cosh(x) - 2760%i cosh(x) - 5400cosh(x) - 900%i cosh(x) +--R + +--R 6 +--R - 345cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 19 18 16 15 +--R 210cosh(x) + 780%i cosh(x) + 3300%i cosh(x) - 3000cosh(x) +--R + +--R 14 13 12 11 +--R 4860%i cosh(x) - 7860cosh(x) + 1800%i cosh(x) - 8160cosh(x) +--R + +--R 10 9 8 7 +--R - 1740%i cosh(x) - 3600cosh(x) - 1260%i cosh(x) - 630cosh(x) +--R + +--R 6 +--R - 60%i cosh(x) +--R * +--R sinh(x) +--R + +--R 20 19 17 16 +--R 15cosh(x) + 60%i cosh(x) + 300%i cosh(x) - 300cosh(x) +--R + +--R 15 14 13 12 +--R 540%i cosh(x) - 990cosh(x) + 240%i cosh(x) - 1380cosh(x) +--R + +--R 11 10 9 8 +--R - 420%i cosh(x) - 900cosh(x) - 540%i cosh(x) - 225cosh(x) +--R + +--R 7 6 +--R - 180%i cosh(x) - 60cosh(x) +--R Type: Expression Complex Integer +--E 115 + +--S 116 of 530 +t0523:= csch(x)^2/(a+b*sinh(x)) +--R +--R +--R 2 +--R csch(x) +--R (115) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 116 + +--S 117 of 530 +r0523:= b*acoth(cosh(x))/a^2-_ + 2*b^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/_ + (a^2+b^2)^(1/2)-coth(x)/a +--R +--R +--R (116) +--R x +--R a tanh(-) - b +-------+ +-------+ +--R 2 2 | 2 2 | 2 2 +--R 2b atanh(-------------) + b\|b + a acoth(cosh(x)) - a coth(x)\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R ------------------------------------------------------------------------- +--R +-------+ +--R 2 | 2 2 +--R a \|b + a +--R Type: Expression Integer +--E 117 + +--S 118 of 530 +a0523:= integrate(t0523,x) +--R +--R +--R (117) +--R 2 2 2 2 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b)\|b + a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b)\|b + a +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R | 2 2 +--R - 2a\|b + a +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a )\|b + a +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 530 +m0523:= a0523-r0523 +--R +--R +--R (118) +--R 2 2 2 2 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b)\|b + a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b)\|b + a +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 2 2 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) + 2b ) +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) + b)\|b + a +--R * +--R acoth(cosh(x)) +--R + +--R 2 +--R a coth(x)sinh(x) + 2a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (a cosh(x) - a)coth(x) - 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a )\|b + a +--R Type: Expression Integer +--E 119 + +--S 120 of 530 +d0523:= D(m0523,x) +--R +--R +--R (119) +--R 2 7 +--R a b sinh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- a b cosh(x) + a b)coth(x) + (- b + a b)cosh(x) +--R + +--R 2 3 2 +--R 6a b cosh(x) + b + a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (- 6a b cosh(x) - 2a cosh(x) + 6a b cosh(x) + 2a )coth(x) +--R + +--R 3 2 3 2 3 2 +--R (- 6b + 6a b)cosh(x) + (13a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (6b + 4a b)cosh(x) - a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R - 15a b cosh(x) - 10a cosh(x) + 18a b cosh(x) +--R + +--R 3 2 +--R 10a cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 2 3 3 +--R (- 15b + 15a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (18b + 2a b)cosh(x) + (- 2a b - 10a )cosh(x) - 3b - a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 +--R - 20a b cosh(x) - 20a cosh(x) + 32a b cosh(x) +--R + +--R 3 2 2 3 +--R 24a cosh(x) - 12a b cosh(x) - 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 2 3 4 +--R (- 20b + 20a b)cosh(x) + (- 5a b + 20a )cosh(x) +--R + +--R 3 2 3 2 3 2 3 +--R (32b - 12a b)cosh(x) + (6a b - 16a )cosh(x) - 12b cosh(x) +--R + +--R 2 3 +--R - a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 +--R - 15a b cosh(x) - 20a cosh(x) + 33a b cosh(x) +--R + +--R 3 3 2 2 3 2 +--R 32a cosh(x) - 21a b cosh(x) - 12a cosh(x) + 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 2 3 5 +--R (- 15b + 15a b)cosh(x) + (- 14a b + 20a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (33b - 23a b)cosh(x) + (20a b - 8a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 21b + 9a b)cosh(x) + (- 6a b - 12a )cosh(x) + 3b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 +--R - 6a b cosh(x) - 10a cosh(x) + 18a b cosh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 22a cosh(x) - 18a b cosh(x) - 14a cosh(x) + 6a b cosh(x) +--R + +--R 3 +--R 2a +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 2 3 6 +--R (- 6b + 6a b)cosh(x) + (- 9a b + 10a )cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (18b - 16a b)cosh(x) + (19a b + 2a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 18b + 14a b)cosh(x) + (- 11a b - 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (6b - 4a b)cosh(x) + a b - 2a +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R - a b cosh(x) - 2a cosh(x) + 4a b cosh(x) + 6a cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R - 6a b cosh(x) - 6a cosh(x) + 4a b cosh(x) + 2a cosh(x) - a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R (- b + a b)cosh(x) + (- 2a b + 2a )cosh(x) + (4b - 4a b)cosh(x) +--R + +--R 2 3 5 3 2 4 +--R (6a b + 2a )cosh(x) + (- 6b + 6a b)cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (- 6a b - 2a )cosh(x) + (4b - 4a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 3 2 +--R - b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 7 +--R - 2b sinh(x) +--R + +--R 2 2 2 2 2 2 3 +--R (2a b cosh(x) - 2a b )coth(x) - 2a b cosh(x) - 12b cosh(x) +--R + +--R 2 +--R - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 2 2 2 2 2 +--R (12a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) - 4a b)coth(x) +--R + +--R 2 3 3 2 2 2 3 +--R - 12a b cosh(x) + (- 30b - 4a b)cosh(x) - 8a b cosh(x) + 6b +--R + +--R 2 +--R 4a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 2 +--R - 20a b cosh(x) + 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 2 3 2 2 +--R - 30a b cosh(x) + (- 40b - 20a b)cosh(x) - 4a b cosh(x) +--R + +--R 3 2 2 +--R (24b + 20a b)cosh(x) + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 40a b cosh(x) + 40a b cosh(x) - 64a b cosh(x) +--R + +--R 2 2 2 2 +--R - 48a b cosh(x) + 24a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 5 3 2 4 2 3 +--R - 40a b cosh(x) + (- 30b - 40a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 2 +--R (36b + 32a b)cosh(x) - 6b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 5 2 4 +--R 30a b cosh(x) + 40a b cosh(x) - 66a b cosh(x) +--R + +--R 2 3 2 2 2 2 +--R - 64a b cosh(x) + 42a b cosh(x) + 24a b cosh(x) - 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 6 3 2 5 2 4 +--R - 30a b cosh(x) + (- 12b - 40a b)cosh(x) + 46a b cosh(x) +--R + +--R 3 2 3 2 2 3 2 +--R (24b + 16a b)cosh(x) - 18a b cosh(x) + (- 12b + 24a b)cosh(x) +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 6 2 5 +--R 12a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 4 2 3 2 2 +--R - 44a b cosh(x) + 36a b cosh(x) + 28a b cosh(x) +--R + +--R 2 2 +--R - 12a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 7 3 2 6 2 5 +--R - 12a b cosh(x) + (- 2b - 20a b)cosh(x) + 32a b cosh(x) +--R + +--R 3 2 4 2 3 3 2 2 +--R (6b - 4a b)cosh(x) - 28a b cosh(x) + (- 6b + 20a b)cosh(x) +--R + +--R 2 3 2 +--R 8a b cosh(x) + 2b + 4a b +--R * +--R sinh(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R 2a b cosh(x) + 4a b cosh(x) - 8a b cosh(x) - 12a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 +--R 12a b cosh(x) + 12a b cosh(x) - 8a b cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R - 2a b cosh(x) - 4a b cosh(x) + 8a b cosh(x) - 4a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 12a b cosh(x) + 4a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 7 +--R - a b sinh(x) +--R + +--R 2 2 2 2 3 2 2 2 3 +--R (a b cosh(x) - a b)coth(x) + (b - a b)cosh(x) - 6a b cosh(x) - b +--R + +--R 2 +--R - a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (6a b cosh(x) + 2a cosh(x) - 6a b cosh(x) - 2a )coth(x) +--R + +--R 3 2 3 2 3 2 +--R (6b - 6a b)cosh(x) + (- 13a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b - 4a b)cosh(x) + a b + 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R 15a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 10a cosh(x) +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 2 3 3 +--R (15b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 18b - 2a b)cosh(x) + (2a b + 10a )cosh(x) + 3b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 20a b cosh(x) + 20a cosh(x) - 32a b cosh(x) - 24a cosh(x) +--R + +--R 2 3 +--R 12a b cosh(x) + 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 2 3 4 +--R (20b - 20a b)cosh(x) + (5a b - 20a )cosh(x) +--R + +--R 3 2 3 2 3 2 3 +--R (- 32b + 12a b)cosh(x) + (- 6a b + 16a )cosh(x) + 12b cosh(x) +--R + +--R 2 3 +--R a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R 15a b cosh(x) + 20a cosh(x) - 33a b cosh(x) - 32a cosh(x) +--R + +--R 2 2 3 2 +--R 21a b cosh(x) + 12a cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 2 3 5 +--R (15b - 15a b)cosh(x) + (14a b - 20a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 33b + 23a b)cosh(x) + (- 20a b + 8a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (21b - 9a b)cosh(x) + (6a b + 12a )cosh(x) - 3b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 3 4 +--R 6a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 22a cosh(x) +--R + +--R 2 3 3 2 2 3 +--R 18a b cosh(x) + 14a cosh(x) - 6a b cosh(x) - 2a +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 2 3 6 +--R (6b - 6a b)cosh(x) + (9a b - 10a )cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 18b + 16a b)cosh(x) + (- 19a b - 2a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (18b - 14a b)cosh(x) + (11a b + 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b + 4a b)cosh(x) - a b + 2a +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R a b cosh(x) + 2a cosh(x) - 4a b cosh(x) - 6a cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R 6a b cosh(x) + 6a cosh(x) - 4a b cosh(x) - 2a cosh(x) + a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 2 3 7 3 2 6 +--R (b - a b)cosh(x) + (2a b - 2a )cosh(x) + (- 4b + 4a b)cosh(x) +--R + +--R 2 3 5 3 2 4 2 3 3 +--R (- 6a b - 2a )cosh(x) + (6b - 6a b)cosh(x) + (6a b + 2a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 4b + 4a b)cosh(x) + (- 2a b + 2a )cosh(x) + b - a b +--R / +--R 3 2 3 6 +--R (a b cosh(x) - a b)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (6a b cosh(x) + 2a cosh(x) - 6a b cosh(x) - 2a )sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 15a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 10a cosh(x) +--R + +--R 3 +--R 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 20a b cosh(x) + 20a cosh(x) - 32a b cosh(x) - 24a cosh(x) +--R + +--R 3 4 +--R 12a b cosh(x) + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 15a b cosh(x) + 20a cosh(x) - 33a b cosh(x) - 32a cosh(x) +--R + +--R 3 2 4 3 +--R 21a b cosh(x) + 12a cosh(x) - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R 6a b cosh(x) + 10a cosh(x) - 18a b cosh(x) - 22a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 18a b cosh(x) + 14a cosh(x) - 6a b cosh(x) - 2a +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R a b cosh(x) + 2a cosh(x) - 4a b cosh(x) - 6a cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R 6a b cosh(x) + 6a cosh(x) - 4a b cosh(x) - 2a cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 2 6 +--R (- 2a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 5 +--R (- 12a b cosh(x) - 4a b cosh(x) + 12a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 30a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 2 2 +--R 20a b cosh(x) - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 40a b cosh(x) - 40a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 48a b cosh(x) - 24a b cosh(x) - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 30a b cosh(x) - 40a b cosh(x) + 66a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 64a b cosh(x) - 42a b cosh(x) - 24a b cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 12a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 2 2 +--R 44a b cosh(x) - 36a b cosh(x) - 28a b cosh(x) + 12a b cosh(x) +--R + +--R 3 +--R 4a b +--R * +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 3 5 +--R - 2a b cosh(x) - 4a b cosh(x) + 8a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 3 +--R - 12a b cosh(x) - 12a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 +--R - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 3 6 +--R (- a b cosh(x) + a b)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (- 6a b cosh(x) - 2a cosh(x) + 6a b cosh(x) + 2a )sinh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R (- 15a b cosh(x) - 10a cosh(x) + 18a b cosh(x) + 10a cosh(x) - 3a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 20a b cosh(x) - 20a cosh(x) + 32a b cosh(x) + 24a cosh(x) +--R + +--R 3 4 +--R - 12a b cosh(x) - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 15a b cosh(x) - 20a cosh(x) + 33a b cosh(x) + 32a cosh(x) +--R + +--R 3 2 4 3 +--R - 21a b cosh(x) - 12a cosh(x) + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 6a b cosh(x) - 10a cosh(x) + 18a b cosh(x) + 22a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 18a b cosh(x) - 14a cosh(x) + 6a b cosh(x) + 2a +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - a b cosh(x) - 2a cosh(x) + 4a b cosh(x) + 6a cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R - 6a b cosh(x) - 6a cosh(x) + 4a b cosh(x) + 2a cosh(x) - a b +--R Type: Expression Integer +--E 120 + +--S 121 of 530 +t0524:= csch(x)^3/(a+b*sinh(x)) +--R +--R +--R 3 +--R csch(x) +--R (120) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 121 + +--S 122 of 530 +r0524:= 1/2*acoth(cosh(x))/a-b^2*acoth(cosh(x))/a^3+_ + 2*b^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(1/2)+_ + b*coth(x)/a^2-1/2*coth(x)*csch(x)/a +--R +--R +--R (121) +--R x +--R a tanh(-) - b +-------+ +--R 3 2 2 2 | 2 2 +--R - 4b atanh(-------------) + (- 2b + a )\|b + a acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 | 2 2 +--R (- a coth(x)csch(x) + 2a b coth(x))\|b + a +--R / +--R +-------+ +--R 3 | 2 2 +--R 2a \|b + a +--R Type: Expression Integer +--E 122 + +--S 123 of 530 +a0524:= integrate(t0524,x) +--R +--R +--R (122) +--R 3 4 3 3 3 2 3 2 +--R 2b sinh(x) + 8b cosh(x)sinh(x) + (12b cosh(x) - 4b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8b cosh(x) - 8b cosh(x))sinh(x) + 2b cosh(x) - 4b cosh(x) + 2b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 4 2 2 3 +--R (- 2b + a )sinh(x) + (- 8b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b + 6a )cosh(x) + 4b - 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b + 4a )cosh(x) + (8b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b + a )cosh(x) + (4b - 2a )cosh(x) - 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 4 2 2 3 +--R (2b - a )sinh(x) + (8b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b - 6a )cosh(x) - 4b + 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b - 4a )cosh(x) + (- 8b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b - a )cosh(x) + (- 4b + 2a )cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 3 2 2 +--R - 2a sinh(x) + (- 6a cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (- 6a cosh(x) + 8a b cosh(x) - 2a )sinh(x) - 2a cosh(x) +--R + +--R 2 2 +--R 4a b cosh(x) - 2a cosh(x) - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) - 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) - 8a cosh(x))sinh(x) + 2a cosh(x) - 4a cosh(x) + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 530 +m0524:= a0524-r0524 +--R +--R +--R (123) +--R 3 4 3 3 3 2 3 2 +--R 2b sinh(x) + 8b cosh(x)sinh(x) + (12b cosh(x) - 4b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8b cosh(x) - 8b cosh(x))sinh(x) + 2b cosh(x) - 4b cosh(x) + 2b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 4 2 2 3 +--R (- 2b + a )sinh(x) + (- 8b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b + 6a )cosh(x) + 4b - 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b + 4a )cosh(x) + (8b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b + a )cosh(x) + (4b - 2a )cosh(x) - 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 4 2 2 3 +--R (2b - a )sinh(x) + (8b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b - 6a )cosh(x) - 4b + 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b - 4a )cosh(x) + (- 8b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b - a )cosh(x) + (- 4b + 2a )cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 3 4 3 3 3 2 3 2 +--R 4b sinh(x) + 16b cosh(x)sinh(x) + (24b cosh(x) - 8b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (16b cosh(x) - 16b cosh(x))sinh(x) + 4b cosh(x) - 8b cosh(x) + 4b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 4 2 2 3 +--R (2b - a )sinh(x) + (8b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b - 6a )cosh(x) - 4b + 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b - 4a )cosh(x) + (- 8b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b - a )cosh(x) + (- 4b + 2a )cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 2 4 +--R (a coth(x)csch(x) - 2a b coth(x))sinh(x) +--R + +--R 2 2 3 +--R (4a cosh(x)coth(x)csch(x) - 8a b cosh(x)coth(x) - 2a )sinh(x) +--R + +--R 2 2 2 +--R (6a cosh(x) - 2a )coth(x)csch(x) +--R + +--R 2 2 +--R (- 12a b cosh(x) + 4a b)coth(x) - 6a cosh(x) + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 +--R (4a cosh(x) - 4a cosh(x))coth(x)csch(x) +--R + +--R 3 2 2 +--R (- 8a b cosh(x) + 8a b cosh(x))coth(x) - 6a cosh(x) +--R + +--R 2 +--R 8a b cosh(x) - 2a +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (a cosh(x) - 2a cosh(x) + a )coth(x)csch(x) +--R + +--R 4 2 2 3 +--R (- 2a b cosh(x) + 4a b cosh(x) - 2a b)coth(x) - 2a cosh(x) +--R + +--R 2 2 +--R 4a b cosh(x) - 2a cosh(x) - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) - 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) - 8a cosh(x))sinh(x) + 2a cosh(x) - 4a cosh(x) + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 124 + +--S 125 of 530 +d0524:= D(m0524,x) +--R +--R +--R (124) +--R 3 3 9 +--R (- 2a b + a b)sinh(x) +--R + +--R 3 2 3 2 3 2 3 +--R ((- 2a b cosh(x) + 2a b)coth(x) + a b cosh(x) - a b)csch(x) +--R + +--R 2 2 2 2 2 2 4 2 2 2 +--R (2a b cosh(x) - 2a b )coth(x) + (2b - 2a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (- 16a b + 8a b)cosh(x) - 2b - 2a b + 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 3 4 +--R (- 16a b cosh(x) - 4a cosh(x) + 16a b cosh(x) + 4a ) +--R * +--R 2 +--R coth(x) +--R + +--R 3 3 4 2 3 4 +--R 8a b cosh(x) + 2a cosh(x) - 8a b cosh(x) - 2a +--R * +--R csch(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (16a b cosh(x) + 4a b cosh(x) - 16a b cosh(x) - 4a b)coth(x) +--R + +--R 4 2 2 3 3 3 2 +--R (16b - 16a b )cosh(x) + (- 52a b + 24a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (- 16b - 12a b + 14a )cosh(x) + 4a b +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 3 2 +--R - 56a b cosh(x) - 28a cosh(x) + 64a b cosh(x) +--R + +--R 4 3 +--R 28a cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 4 3 3 2 4 +--R 28a b cosh(x) + 14a cosh(x) - 32a b cosh(x) - 14a cosh(x) +--R + +--R 3 +--R 4a b +--R * +--R csch(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 56a b cosh(x) + 28a b cosh(x) - 64a b cosh(x) +--R + +--R 3 2 2 +--R - 28a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 4 3 3 3 +--R (56b - 56a b )cosh(x) + (- 84a b + 28a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 64b - 20a b + 42a )cosh(x) + (20a b + 4a b)cosh(x) + 8b +--R + +--R 2 2 4 +--R 4a b - 6a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 +--R - 112a b cosh(x) - 84a cosh(x) + 160a b cosh(x) +--R + +--R 4 2 3 4 +--R 96a cosh(x) - 48a b cosh(x) - 12a +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 56a b cosh(x) + 42a cosh(x) - 80a b cosh(x) - 48a cosh(x) +--R + +--R 3 4 +--R 24a b cosh(x) + 6a +--R * +--R csch(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 112a b cosh(x) + 84a b cosh(x) - 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R - 96a b cosh(x) + 48a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 5 3 3 4 +--R (112b - 112a b )cosh(x) + (- 56a b - 14a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 160b + 20a b + 70a )cosh(x) + (24a b + 36a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (48b + 12a b - 30a )cosh(x) - 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 +--R - 140a b cosh(x) - 140a cosh(x) + 260a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R 200a cosh(x) - 132a b cosh(x) - 60a cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 4 5 3 4 +--R 70a b cosh(x) + 70a cosh(x) - 130a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R - 100a cosh(x) + 66a b cosh(x) + 30a cosh(x) - 6a b +--R * +--R csch(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 140a b cosh(x) + 140a b cosh(x) - 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R - 200a b cosh(x) + 132a b cosh(x) + 60a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 6 3 3 5 +--R (140b - 140a b )cosh(x) + (28a b - 84a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 260b + 120a b + 70a )cosh(x) + (- 40a b + 120a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (132b - 12a b - 28a )cosh(x) + (12a b - 36a b)cosh(x) - 12b +--R + +--R 4 +--R - 26a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 +--R - 112a b cosh(x) - 140a cosh(x) + 272a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R 260a cosh(x) - 208a b cosh(x) - 132a cosh(x) +--R + +--R 3 4 +--R 48a b cosh(x) + 12a +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 4 6 3 5 +--R 56a b cosh(x) + 70a cosh(x) - 136a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R - 130a cosh(x) + 104a b cosh(x) + 66a cosh(x) +--R + +--R 3 4 +--R - 24a b cosh(x) - 6a +--R * +--R csch(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R 112a b cosh(x) + 140a b cosh(x) - 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 260a b cosh(x) + 208a b cosh(x) + 132a b cosh(x) +--R + +--R 2 2 3 +--R - 48a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 7 3 3 6 +--R (112b - 112a b )cosh(x) + (84a b - 112a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (- 272b + 188a b + 42a )cosh(x) + (- 140a b + 200a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (208b - 88a b + 68a )cosh(x) + (60a b - 96a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 48b + 12a b - 110a )cosh(x) - 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 8 4 7 3 6 +--R - 56a b cosh(x) - 84a cosh(x) + 176a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R 204a cosh(x) - 192a b cosh(x) - 156a cosh(x) +--R + +--R 3 2 4 3 +--R 80a b cosh(x) + 36a cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 4 7 3 6 +--R 28a b cosh(x) + 42a cosh(x) - 88a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R - 102a cosh(x) + 96a b cosh(x) + 78a cosh(x) +--R + +--R 3 2 4 3 +--R - 40a b cosh(x) - 18a cosh(x) + 4a b +--R * +--R csch(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R 56a b cosh(x) + 84a b cosh(x) - 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 204a b cosh(x) + 192a b cosh(x) + 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 80a b cosh(x) - 36a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 8 3 3 7 +--R (56b - 56a b )cosh(x) + (68a b - 76a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (- 176b + 148a b + 14a )cosh(x) + (- 156a b + 180a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (192b - 132a b + 162a )cosh(x) + (108a b - 132a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 80b + 44a b - 174a )cosh(x) + (- 20a b + 28a b)cosh(x) +--R + +--R 4 2 2 4 +--R 8b - 4a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 9 4 8 3 7 +--R - 16a b cosh(x) - 28a cosh(x) + 64a b cosh(x) +--R + +--R 4 6 3 5 4 4 +--R 88a cosh(x) - 96a b cosh(x) - 96a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 64a b cosh(x) + 40a cosh(x) - 16a b cosh(x) - 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R 8a b cosh(x) + 14a cosh(x) - 32a b cosh(x) - 44a cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 48a b cosh(x) + 48a cosh(x) - 32a b cosh(x) - 20a cosh(x) +--R + +--R 3 4 +--R 8a b cosh(x) + 2a +--R * +--R csch(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R 16a b cosh(x) + 28a b cosh(x) - 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 88a b cosh(x) + 96a b cosh(x) + 96a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 64a b cosh(x) - 40a b cosh(x) + 16a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 9 3 3 8 +--R (16b - 16a b )cosh(x) + (26a b - 27a b)cosh(x) +--R + +--R 4 2 2 4 7 3 3 6 +--R (- 64b + 60a b + 2a )cosh(x) + (- 80a b + 84a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (96b - 84a b + 122a )cosh(x) + (84a b - 90a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 64b + 52a b - 122a )cosh(x) + (- 32a b + 36a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (16b - 12a b - 2a )cosh(x) + 2a b - 3a b +--R * +--R sinh(x) +--R + +--R 3 10 4 9 3 8 +--R - 2a b cosh(x) - 4a cosh(x) + 10a b cosh(x) +--R + +--R 4 7 3 6 4 5 3 4 +--R 16a cosh(x) - 20a b cosh(x) - 24a cosh(x) + 20a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R 16a cosh(x) - 10a b cosh(x) - 4a cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R a b cosh(x) + 2a cosh(x) - 5a b cosh(x) - 8a cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 10a b cosh(x) + 12a cosh(x) - 10a b cosh(x) - 8a cosh(x) +--R + +--R 3 2 4 3 +--R 5a b cosh(x) + 2a cosh(x) - a b +--R * +--R csch(x) +--R + +--R 2 2 10 3 9 2 2 8 3 7 +--R 2a b cosh(x) + 4a b cosh(x) - 10a b cosh(x) - 16a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 3 3 +--R 20a b cosh(x) + 24a b cosh(x) - 20a b cosh(x) - 16a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 10a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 10 3 3 9 +--R (2b - 2a b )cosh(x) + (4a b - 4a b)cosh(x) +--R + +--R 4 2 2 8 3 3 7 +--R (- 10b + 10a b )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (20b - 20a b + 32a )cosh(x) + (24a b - 24a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 20b + 20a b - 32a )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (10b - 10a b )cosh(x) + (4a b - 4a b)cosh(x) - 2b + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 2 2 9 +--R (4b - 2a b )sinh(x) +--R + +--R 2 2 2 2 2 2 2 2 2 2 2 +--R ((4a b cosh(x) - 4a b )coth(x) - 2a b cosh(x) + 2a b )csch(x) +--R + +--R 3 2 3 2 3 2 +--R (- 4a b cosh(x) + 4a b )coth(x) + 4a b cosh(x) +--R + +--R 4 2 2 3 3 +--R (32b - 16a b )cosh(x) + 4a b - 4a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R (32a b cosh(x) + 8a b cosh(x) - 32a b cosh(x) - 8a b) +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 16a b cosh(x) - 4a b cosh(x) + 16a b cosh(x) + 4a b +--R * +--R csch(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R (- 32a b cosh(x) - 8a b cosh(x) + 32a b cosh(x) + 8a b ) +--R * +--R 2 +--R coth(x) +--R + +--R 3 3 4 2 2 2 +--R 32a b cosh(x) + (112b - 48a b )cosh(x) +--R + +--R 3 3 4 +--R (24a b - 28a b)cosh(x) - 16b +--R * +--R 7 +--R sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 112a b cosh(x) + 56a b cosh(x) - 128a b cosh(x) +--R + +--R 3 2 2 +--R - 56a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 56a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 +--R 28a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 112a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 2 2 3 +--R 56a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 4 2 2 3 +--R 112a b cosh(x) + (224b - 56a b )cosh(x) +--R + +--R 3 3 2 4 2 2 3 3 +--R (40a b - 84a b)cosh(x) + (- 96b - 8a b )cosh(x) - 8a b + 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 224a b cosh(x) + 168a b cosh(x) - 320a b cosh(x) +--R + +--R 3 2 2 2 3 +--R - 192a b cosh(x) + 96a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 112a b cosh(x) - 84a b cosh(x) + 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 96a b cosh(x) - 48a b cosh(x) - 12a b +--R * +--R csch(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 224a b cosh(x) - 168a b cosh(x) + 320a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 192a b cosh(x) - 96a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 4 2 2 4 +--R 224a b cosh(x) + (280b + 28a b )cosh(x) +--R + +--R 3 3 3 4 2 2 2 +--R (- 40a b - 140a b)cosh(x) + (- 240b - 72a b )cosh(x) +--R + +--R 3 3 4 2 2 +--R (- 24a b + 60a b)cosh(x) + 24b + 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 280a b cosh(x) + 280a b cosh(x) - 520a b cosh(x) +--R + +--R 3 3 2 2 2 3 +--R - 400a b cosh(x) + 264a b cosh(x) + 120a b cosh(x) +--R + +--R 2 2 +--R - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 140a b cosh(x) - 140a b cosh(x) + 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 200a b cosh(x) - 132a b cosh(x) - 60a b cosh(x) + 12a b +--R * +--R csch(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 280a b cosh(x) - 280a b cosh(x) + 520a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 400a b cosh(x) - 264a b cosh(x) - 120a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 4 2 2 5 +--R 280a b cosh(x) + (224b + 168a b )cosh(x) +--R + +--R 3 3 4 4 2 2 3 +--R (- 240a b - 140a b)cosh(x) + (- 320b - 240a b )cosh(x) +--R + +--R 3 3 2 4 2 2 3 +--R (24a b + 56a b)cosh(x) + (96b + 72a b )cosh(x) + 52a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R 224a b cosh(x) + 280a b cosh(x) - 544a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 520a b cosh(x) + 416a b cosh(x) + 264a b cosh(x) +--R + +--R 2 2 3 +--R - 96a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 112a b cosh(x) - 140a b cosh(x) + 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R 260a b cosh(x) - 208a b cosh(x) - 132a b cosh(x) +--R + +--R 2 2 3 +--R 48a b cosh(x) + 12a b +--R * +--R csch(x) +--R + +--R 3 7 2 2 6 3 5 +--R - 224a b cosh(x) - 280a b cosh(x) + 544a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 520a b cosh(x) - 416a b cosh(x) - 264a b cosh(x) +--R + +--R 3 2 2 +--R 96a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 4 2 2 6 +--R 224a b cosh(x) + (112b + 224a b )cosh(x) +--R + +--R 3 3 5 4 2 2 4 +--R (- 376a b - 84a b)cosh(x) + (- 240b - 400a b )cosh(x) +--R + +--R 3 3 3 4 2 2 2 +--R (176a b - 136a b)cosh(x) + (144b + 192a b )cosh(x) +--R + +--R 3 3 4 2 2 +--R (- 24a b + 220a b)cosh(x) - 16b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R 112a b cosh(x) + 168a b cosh(x) - 352a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 408a b cosh(x) + 384a b cosh(x) + 312a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 160a b cosh(x) - 72a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R - 56a b cosh(x) - 84a b cosh(x) + 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R 204a b cosh(x) - 192a b cosh(x) - 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 80a b cosh(x) + 36a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 3 8 2 2 7 3 6 +--R - 112a b cosh(x) - 168a b cosh(x) + 352a b cosh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 408a b cosh(x) - 384a b cosh(x) - 312a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 160a b cosh(x) + 72a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 4 2 2 7 +--R 112a b cosh(x) + (32b + 152a b )cosh(x) +--R + +--R 3 3 6 4 2 2 5 +--R (- 296a b - 28a b)cosh(x) + (- 96b - 360a b )cosh(x) +--R + +--R 3 3 4 4 2 2 3 +--R (264a b - 324a b)cosh(x) + (96b + 264a b )cosh(x) +--R + +--R 3 3 2 4 2 2 3 +--R (- 88a b + 348a b)cosh(x) + (- 32b - 56a b )cosh(x) + 8a b +--R + +--R 3 +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R 32a b cosh(x) + 56a b cosh(x) - 128a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 176a b cosh(x) + 192a b cosh(x) + 192a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 128a b cosh(x) - 80a b cosh(x) + 32a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R - 16a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R 88a b cosh(x) - 96a b cosh(x) - 96a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 64a b cosh(x) + 40a b cosh(x) - 16a b cosh(x) - 4a b +--R * +--R csch(x) +--R + +--R 3 9 2 2 8 3 7 +--R - 32a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 176a b cosh(x) - 192a b cosh(x) - 192a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 128a b cosh(x) + 80a b cosh(x) - 32a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 4 2 2 8 +--R 32a b cosh(x) + (4b + 54a b )cosh(x) +--R + +--R 3 3 7 4 2 2 6 +--R (- 120a b - 4a b)cosh(x) + (- 16b - 168a b )cosh(x) +--R + +--R 3 3 5 4 2 2 4 +--R (168a b - 244a b)cosh(x) + (24b + 180a b )cosh(x) +--R + +--R 3 3 3 4 2 2 2 +--R (- 104a b + 244a b)cosh(x) + (- 16b - 72a b )cosh(x) +--R + +--R 3 3 4 2 2 +--R (24a b + 4a b)cosh(x) + 4b + 6a b +--R * +--R sinh(x) +--R + +--R 2 2 10 3 9 2 2 8 +--R 4a b cosh(x) + 8a b cosh(x) - 20a b cosh(x) +--R + +--R 3 7 2 2 6 3 5 +--R - 32a b cosh(x) + 40a b cosh(x) + 48a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 40a b cosh(x) - 32a b cosh(x) + 20a b cosh(x) +--R + +--R 3 2 2 +--R 8a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 10 3 9 2 2 8 +--R - 2a b cosh(x) - 4a b cosh(x) + 10a b cosh(x) +--R + +--R 3 7 2 2 6 3 5 2 2 4 +--R 16a b cosh(x) - 20a b cosh(x) - 24a b cosh(x) + 20a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 16a b cosh(x) - 10a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R csch(x) +--R + +--R 3 10 2 2 9 3 8 +--R - 4a b cosh(x) - 8a b cosh(x) + 20a b cosh(x) +--R + +--R 2 2 7 3 6 2 2 5 3 4 +--R 32a b cosh(x) - 40a b cosh(x) - 48a b cosh(x) + 40a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 32a b cosh(x) - 20a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 2 2 9 3 8 2 2 7 +--R 4a b cosh(x) + 8a b cosh(x) - 20a b cosh(x) - 32a b cosh(x) +--R + +--R 3 3 6 2 2 5 +--R (40a b - 64a b)cosh(x) + 48a b cosh(x) +--R + +--R 3 3 4 2 2 3 3 2 +--R (- 40a b + 64a b)cosh(x) - 32a b cosh(x) + 20a b cosh(x) +--R + +--R 2 2 3 +--R 8a b cosh(x) - 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 3 9 +--R (2a b - a b)sinh(x) +--R + +--R 3 2 3 2 3 2 3 +--R ((2a b cosh(x) - 2a b)coth(x) - a b cosh(x) + a b)csch(x) +--R + +--R 2 2 2 2 2 2 4 2 2 2 +--R (- 2a b cosh(x) + 2a b )coth(x) + (- 2b + 2a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (16a b - 8a b)cosh(x) + 2b + 2a b - 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 3 4 2 +--R (16a b cosh(x) + 4a cosh(x) - 16a b cosh(x) - 4a )coth(x) +--R + +--R 3 3 4 2 3 4 +--R - 8a b cosh(x) - 2a cosh(x) + 8a b cosh(x) + 2a +--R * +--R csch(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (- 16a b cosh(x) - 4a b cosh(x) + 16a b cosh(x) + 4a b)coth(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 16b + 16a b )cosh(x) + (52a b - 24a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (16b + 12a b - 14a )cosh(x) - 4a b +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 56a b cosh(x) + 28a cosh(x) - 64a b cosh(x) - 28a cosh(x) +--R + +--R 3 +--R 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 4 3 3 2 4 +--R - 28a b cosh(x) - 14a cosh(x) + 32a b cosh(x) + 14a cosh(x) +--R + +--R 3 +--R - 4a b +--R * +--R csch(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 56a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 +--R 28a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 56b + 56a b )cosh(x) + (84a b - 28a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (64b + 20a b - 42a )cosh(x) + (- 20a b - 4a b)cosh(x) - 8b +--R + +--R 2 2 4 +--R - 4a b + 6a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 +--R 112a b cosh(x) + 84a cosh(x) - 160a b cosh(x) +--R + +--R 4 2 3 4 +--R - 96a cosh(x) + 48a b cosh(x) + 12a +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 56a b cosh(x) - 42a cosh(x) + 80a b cosh(x) + 48a cosh(x) +--R + +--R 3 4 +--R - 24a b cosh(x) - 6a +--R * +--R csch(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 112a b cosh(x) - 84a b cosh(x) + 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 96a b cosh(x) - 48a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 5 3 3 4 +--R (- 112b + 112a b )cosh(x) + (56a b + 14a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (160b - 20a b - 70a )cosh(x) + (- 24a b - 36a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (- 48b - 12a b + 30a )cosh(x) + 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 +--R 140a b cosh(x) + 140a cosh(x) - 260a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R - 200a cosh(x) + 132a b cosh(x) + 60a cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 70a b cosh(x) - 70a cosh(x) + 130a b cosh(x) + 100a cosh(x) +--R + +--R 3 2 4 3 +--R - 66a b cosh(x) - 30a cosh(x) + 6a b +--R * +--R csch(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 140a b cosh(x) - 140a b cosh(x) + 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 200a b cosh(x) - 132a b cosh(x) - 60a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 140b + 140a b )cosh(x) + (- 28a b + 84a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (260b - 120a b - 70a )cosh(x) + (40a b - 120a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 132b + 12a b + 28a )cosh(x) + (- 12a b + 36a b)cosh(x) + 12b +--R + +--R 4 +--R 26a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 +--R 112a b cosh(x) + 140a cosh(x) - 272a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R - 260a cosh(x) + 208a b cosh(x) + 132a cosh(x) +--R + +--R 3 4 +--R - 48a b cosh(x) - 12a +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 56a b cosh(x) - 70a cosh(x) + 136a b cosh(x) + 130a cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 104a b cosh(x) - 66a cosh(x) + 24a b cosh(x) + 6a +--R * +--R csch(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 112a b cosh(x) - 140a b cosh(x) + 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R 260a b cosh(x) - 208a b cosh(x) - 132a b cosh(x) +--R + +--R 2 2 3 +--R 48a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 7 3 3 6 +--R (- 112b + 112a b )cosh(x) + (- 84a b + 112a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (272b - 188a b - 42a )cosh(x) + (140a b - 200a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 208b + 88a b - 68a )cosh(x) + (- 60a b + 96a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (48b - 12a b + 110a )cosh(x) + 4a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 8 4 7 3 6 +--R 56a b cosh(x) + 84a cosh(x) - 176a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R - 204a cosh(x) + 192a b cosh(x) + 156a cosh(x) +--R + +--R 3 2 4 3 +--R - 80a b cosh(x) - 36a cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - 28a b cosh(x) - 42a cosh(x) + 88a b cosh(x) + 102a cosh(x) +--R + +--R 3 4 4 3 3 2 4 +--R - 96a b cosh(x) - 78a cosh(x) + 40a b cosh(x) + 18a cosh(x) +--R + +--R 3 +--R - 4a b +--R * +--R csch(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R - 56a b cosh(x) - 84a b cosh(x) + 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R 204a b cosh(x) - 192a b cosh(x) - 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 80a b cosh(x) + 36a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 8 3 3 7 +--R (- 56b + 56a b )cosh(x) + (- 68a b + 76a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (176b - 148a b - 14a )cosh(x) + (156a b - 180a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 192b + 132a b - 162a )cosh(x) + (- 108a b + 132a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (80b - 44a b + 174a )cosh(x) + (20a b - 28a b)cosh(x) - 8b +--R + +--R 2 2 4 +--R 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R 16a b cosh(x) + 28a cosh(x) - 64a b cosh(x) - 88a cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 96a b cosh(x) + 96a cosh(x) - 64a b cosh(x) - 40a cosh(x) +--R + +--R 3 4 +--R 16a b cosh(x) + 4a +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R - 8a b cosh(x) - 14a cosh(x) + 32a b cosh(x) + 44a cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 48a b cosh(x) - 48a cosh(x) + 32a b cosh(x) + 20a cosh(x) +--R + +--R 3 4 +--R - 8a b cosh(x) - 2a +--R * +--R csch(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R - 16a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 2 2 3 +--R 88a b cosh(x) - 96a b cosh(x) - 96a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 40a b cosh(x) - 16a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 9 3 3 8 +--R (- 16b + 16a b )cosh(x) + (- 26a b + 27a b)cosh(x) +--R + +--R 4 2 2 4 7 3 3 6 +--R (64b - 60a b - 2a )cosh(x) + (80a b - 84a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (- 96b + 84a b - 122a )cosh(x) + (- 84a b + 90a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (64b - 52a b + 122a )cosh(x) + (32a b - 36a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 16b + 12a b + 2a )cosh(x) - 2a b + 3a b +--R * +--R sinh(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R 2a b cosh(x) + 4a cosh(x) - 10a b cosh(x) - 16a cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 20a b cosh(x) + 24a cosh(x) - 20a b cosh(x) - 16a cosh(x) +--R + +--R 3 2 4 3 +--R 10a b cosh(x) + 4a cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R - a b cosh(x) - 2a cosh(x) + 5a b cosh(x) + 8a cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 10a b cosh(x) - 12a cosh(x) + 10a b cosh(x) + 8a cosh(x) +--R + +--R 3 2 4 3 +--R - 5a b cosh(x) - 2a cosh(x) + a b +--R * +--R csch(x) +--R + +--R 2 2 10 3 9 2 2 8 3 7 +--R - 2a b cosh(x) - 4a b cosh(x) + 10a b cosh(x) + 16a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 3 3 +--R - 20a b cosh(x) - 24a b cosh(x) + 20a b cosh(x) + 16a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 10a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 2 10 3 3 9 +--R (- 2b + 2a b )cosh(x) + (- 4a b + 4a b)cosh(x) +--R + +--R 4 2 2 8 3 3 7 +--R (10b - 10a b )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (- 20b + 20a b - 32a )cosh(x) + (- 24a b + 24a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (20b - 20a b + 32a )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 10b + 10a b )cosh(x) + (- 4a b + 4a b)cosh(x) + 2b - 2a b +--R / +--R 4 2 4 8 +--R (2a b cosh(x) - 2a b)sinh(x) +--R + +--R 4 3 5 2 4 5 7 +--R (16a b cosh(x) + 4a cosh(x) - 16a b cosh(x) - 4a )sinh(x) +--R + +--R 4 4 5 3 4 2 5 +--R 56a b cosh(x) + 28a cosh(x) - 64a b cosh(x) - 28a cosh(x) +--R + +--R 4 +--R 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 112a b cosh(x) + 84a cosh(x) - 160a b cosh(x) - 96a cosh(x) +--R + +--R 4 5 +--R 48a b cosh(x) + 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 140a b cosh(x) + 140a cosh(x) - 260a b cosh(x) - 200a cosh(x) +--R + +--R 4 2 5 4 +--R 132a b cosh(x) + 60a cosh(x) - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 7 5 6 4 5 5 4 +--R 112a b cosh(x) + 140a cosh(x) - 272a b cosh(x) - 260a cosh(x) +--R + +--R 4 3 5 2 4 5 +--R 208a b cosh(x) + 132a cosh(x) - 48a b cosh(x) - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R 56a b cosh(x) + 84a cosh(x) - 176a b cosh(x) - 204a cosh(x) +--R + +--R 4 4 5 3 4 2 5 +--R 192a b cosh(x) + 156a cosh(x) - 80a b cosh(x) - 36a cosh(x) +--R + +--R 4 +--R 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 9 5 8 4 7 5 6 +--R 16a b cosh(x) + 28a cosh(x) - 64a b cosh(x) - 88a cosh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 96a b cosh(x) + 96a cosh(x) - 64a b cosh(x) - 40a cosh(x) +--R + +--R 4 5 +--R 16a b cosh(x) + 4a +--R * +--R sinh(x) +--R + +--R 4 10 5 9 4 8 5 7 +--R 2a b cosh(x) + 4a cosh(x) - 10a b cosh(x) - 16a cosh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 20a b cosh(x) + 24a cosh(x) - 20a b cosh(x) - 16a cosh(x) +--R + +--R 4 2 5 4 +--R 10a b cosh(x) + 4a cosh(x) - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 2 8 +--R (- 4a b cosh(x) + 4a b )sinh(x) +--R + +--R 3 2 3 4 2 3 2 4 7 +--R (- 32a b cosh(x) - 8a b cosh(x) + 32a b cosh(x) + 8a b)sinh(x) +--R + +--R 3 2 4 4 3 3 2 2 +--R - 112a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 4 3 2 +--R 56a b cosh(x) - 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 5 4 4 3 2 3 +--R - 224a b cosh(x) - 168a b cosh(x) + 320a b cosh(x) +--R + +--R 4 2 3 2 4 +--R 192a b cosh(x) - 96a b cosh(x) - 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 6 4 5 3 2 4 +--R - 280a b cosh(x) - 280a b cosh(x) + 520a b cosh(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R 400a b cosh(x) - 264a b cosh(x) - 120a b cosh(x) + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 7 4 6 3 2 5 +--R - 224a b cosh(x) - 280a b cosh(x) + 544a b cosh(x) +--R + +--R 4 4 3 2 3 4 2 +--R 520a b cosh(x) - 416a b cosh(x) - 264a b cosh(x) +--R + +--R 3 2 4 +--R 96a b cosh(x) + 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 8 4 7 3 2 6 +--R - 112a b cosh(x) - 168a b cosh(x) + 352a b cosh(x) +--R + +--R 4 5 3 2 4 4 3 +--R 408a b cosh(x) - 384a b cosh(x) - 312a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R 160a b cosh(x) + 72a b cosh(x) - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 9 4 8 3 2 7 +--R - 32a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 4 6 3 2 5 4 4 +--R 176a b cosh(x) - 192a b cosh(x) - 192a b cosh(x) +--R + +--R 3 2 3 4 2 3 2 4 +--R 128a b cosh(x) + 80a b cosh(x) - 32a b cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 3 2 10 4 9 3 2 8 4 7 +--R - 4a b cosh(x) - 8a b cosh(x) + 20a b cosh(x) + 32a b cosh(x) +--R + +--R 3 2 6 4 5 3 2 4 4 3 +--R - 40a b cosh(x) - 48a b cosh(x) + 40a b cosh(x) + 32a b cosh(x) +--R + +--R 3 2 2 4 3 2 +--R - 20a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 2 4 8 +--R (- 2a b cosh(x) + 2a b)sinh(x) +--R + +--R 4 3 5 2 4 5 7 +--R (- 16a b cosh(x) - 4a cosh(x) + 16a b cosh(x) + 4a )sinh(x) +--R + +--R 4 4 5 3 4 2 5 4 +--R (- 56a b cosh(x) - 28a cosh(x) + 64a b cosh(x) + 28a cosh(x) - 8a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R - 112a b cosh(x) - 84a cosh(x) + 160a b cosh(x) + 96a cosh(x) +--R + +--R 4 5 +--R - 48a b cosh(x) - 12a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R - 140a b cosh(x) - 140a cosh(x) + 260a b cosh(x) + 200a cosh(x) +--R + +--R 4 2 5 4 +--R - 132a b cosh(x) - 60a cosh(x) + 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 7 5 6 4 5 5 4 +--R - 112a b cosh(x) - 140a cosh(x) + 272a b cosh(x) + 260a cosh(x) +--R + +--R 4 3 5 2 4 5 +--R - 208a b cosh(x) - 132a cosh(x) + 48a b cosh(x) + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R - 56a b cosh(x) - 84a cosh(x) + 176a b cosh(x) + 204a cosh(x) +--R + +--R 4 4 5 3 4 2 5 4 +--R - 192a b cosh(x) - 156a cosh(x) + 80a b cosh(x) + 36a cosh(x) - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 9 5 8 4 7 5 6 +--R - 16a b cosh(x) - 28a cosh(x) + 64a b cosh(x) + 88a cosh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R - 96a b cosh(x) - 96a cosh(x) + 64a b cosh(x) + 40a cosh(x) +--R + +--R 4 5 +--R - 16a b cosh(x) - 4a +--R * +--R sinh(x) +--R + +--R 4 10 5 9 4 8 5 7 +--R - 2a b cosh(x) - 4a cosh(x) + 10a b cosh(x) + 16a cosh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R - 20a b cosh(x) - 24a cosh(x) + 20a b cosh(x) + 16a cosh(x) +--R + +--R 4 2 5 4 +--R - 10a b cosh(x) - 4a cosh(x) + 2a b +--R Type: Expression Integer +--E 125 + +--S 126 of 530 +t0525:= csch(x)^4/(a+b*sinh(x)) +--R +--R +--R 4 +--R csch(x) +--R (125) ------------- +--R b sinh(x) + a +--R Type: Expression Integer +--E 126 + +--S 127 of 530 +r0525:= -1/2*b*acoth(cosh(x))/a^2+b^3*acoth(cosh(x))/a^4-_ + 2*b^4*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^4/(a^2+b^2)^(1/2)+_ + coth(x)/a-b^2*coth(x)/a^3-1/3*coth(x)^3/a+1/2*b*coth(x)*csch(x)/a^2 +--R +--R +--R (126) +--R x +--R a tanh(-) - b +-------+ +--R 4 2 3 2 | 2 2 +--R 12b atanh(-------------) + (6b - 3a b)\|b + a acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 3 3 2 3 | 2 2 +--R (3a b coth(x)csch(x) - 2a coth(x) + (- 6a b + 6a )coth(x))\|b + a +--R / +--R +-------+ +--R 4 | 2 2 +--R 6a \|b + a +--R Type: Expression Integer +--E 127 + +--S 128 of 530 +a0525:= integrate(t0525,x) +--R +--R +--R (127) +--R 4 6 4 5 4 2 4 4 +--R 6b sinh(x) + 36b cosh(x)sinh(x) + (90b cosh(x) - 18b )sinh(x) +--R + +--R 4 3 4 3 +--R (120b cosh(x) - 72b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90b cosh(x) - 108b cosh(x) + 18b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36b cosh(x) - 72b cosh(x) + 36b cosh(x))sinh(x) + 6b cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18b cosh(x) + 18b cosh(x) - 6b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 6 3 2 5 +--R (6b - 3a b)sinh(x) + (36b - 18a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((90b - 45a b)cosh(x) - 18b + 9a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((120b - 60a b)cosh(x) + (- 72b + 36a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((90b - 45a b)cosh(x) + (- 108b + 54a b)cosh(x) + 18b - 9a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (36b - 18a b)cosh(x) + (- 72b + 36a b)cosh(x) +--R + +--R 3 2 +--R (36b - 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (6b - 3a b)cosh(x) + (- 18b + 9a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (18b - 9a b)cosh(x) - 6b + 3a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 6 3 2 5 +--R (- 6b + 3a b)sinh(x) + (- 36b + 18a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b + 45a b)cosh(x) + 18b - 9a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b + 60a b)cosh(x) + (72b - 36a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((- 90b + 45a b)cosh(x) + (108b - 54a b)cosh(x) - 18b + 9a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b + 18a b)cosh(x) + (72b - 36a b)cosh(x) +--R + +--R 3 2 +--R (- 36b + 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b + 3a b)cosh(x) + (18b - 9a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b + 9a b)cosh(x) + 6b - 3a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 5 2 2 4 +--R 6a b sinh(x) + (30a b cosh(x) - 12a b )sinh(x) +--R + +--R 2 2 2 3 +--R (60a b cosh(x) - 48a b cosh(x))sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (60a b cosh(x) - 72a b cosh(x) + 24a b - 24a )sinh(x) +--R + +--R 2 4 2 3 2 3 2 +--R (30a b cosh(x) - 48a b cosh(x) + (48a b - 48a )cosh(x) - 6a b) +--R * +--R sinh(x) +--R + +--R 2 5 2 4 2 3 2 +--R 6a b cosh(x) - 12a b cosh(x) + (24a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R - 6a b cosh(x) - 12a b + 8a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 6 4 5 4 2 4 4 +--R 6a sinh(x) + 36a cosh(x)sinh(x) + (90a cosh(x) - 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (120a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90a cosh(x) - 108a cosh(x) + 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36a cosh(x) - 72a cosh(x) + 36a cosh(x))sinh(x) + 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18a cosh(x) + 18a cosh(x) - 6a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 530 +m0525:= a0525-r0525 +--R +--R +--R (128) +--R 4 6 4 5 4 2 4 4 +--R 6b sinh(x) + 36b cosh(x)sinh(x) + (90b cosh(x) - 18b )sinh(x) +--R + +--R 4 3 4 3 +--R (120b cosh(x) - 72b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90b cosh(x) - 108b cosh(x) + 18b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36b cosh(x) - 72b cosh(x) + 36b cosh(x))sinh(x) + 6b cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18b cosh(x) + 18b cosh(x) - 6b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 6 3 2 5 +--R (6b - 3a b)sinh(x) + (36b - 18a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((90b - 45a b)cosh(x) - 18b + 9a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((120b - 60a b)cosh(x) + (- 72b + 36a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((90b - 45a b)cosh(x) + (- 108b + 54a b)cosh(x) + 18b - 9a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (36b - 18a b)cosh(x) + (- 72b + 36a b)cosh(x) +--R + +--R 3 2 +--R (36b - 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (6b - 3a b)cosh(x) + (- 18b + 9a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (18b - 9a b)cosh(x) - 6b + 3a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 6 3 2 5 +--R (- 6b + 3a b)sinh(x) + (- 36b + 18a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b + 45a b)cosh(x) + 18b - 9a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b + 60a b)cosh(x) + (72b - 36a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((- 90b + 45a b)cosh(x) + (108b - 54a b)cosh(x) - 18b + 9a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b + 18a b)cosh(x) + (72b - 36a b)cosh(x) +--R + +--R 3 2 +--R (- 36b + 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b + 3a b)cosh(x) + (18b - 9a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b + 9a b)cosh(x) + 6b - 3a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 4 6 4 5 +--R - 12b sinh(x) - 72b cosh(x)sinh(x) +--R + +--R 4 2 4 4 +--R (- 180b cosh(x) + 36b )sinh(x) +--R + +--R 4 3 4 3 +--R (- 240b cosh(x) + 144b cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (- 180b cosh(x) + 216b cosh(x) - 36b )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (- 72b cosh(x) + 144b cosh(x) - 72b cosh(x))sinh(x) - 12b cosh(x) +--R + +--R 4 4 4 2 4 +--R 36b cosh(x) - 36b cosh(x) + 12b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 6 3 2 5 +--R (- 6b + 3a b)sinh(x) + (- 36b + 18a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b + 45a b)cosh(x) + 18b - 9a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b + 60a b)cosh(x) + (72b - 36a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((- 90b + 45a b)cosh(x) + (108b - 54a b)cosh(x) - 18b + 9a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b + 18a b)cosh(x) + (72b - 36a b)cosh(x) +--R + +--R 3 2 +--R (- 36b + 18a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b + 3a b)cosh(x) + (18b - 9a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b + 9a b)cosh(x) + 6b - 3a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 2 3 3 2 3 6 +--R (- 3a b coth(x)csch(x) + 2a coth(x) + (6a b - 6a )coth(x))sinh(x) +--R + +--R 2 3 3 +--R - 18a b cosh(x)coth(x)csch(x) + 12a cosh(x)coth(x) +--R + +--R 2 3 2 +--R (36a b - 36a )cosh(x)coth(x) + 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 2 +--R (- 45a b cosh(x) + 9a b)coth(x)csch(x) +--R + +--R 3 2 3 3 +--R (30a cosh(x) - 6a )coth(x) +--R + +--R 2 3 2 2 3 2 +--R ((90a b - 90a )cosh(x) - 18a b + 18a )coth(x) + 30a b cosh(x) +--R + +--R 2 +--R - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (- 60a b cosh(x) + 36a b cosh(x))coth(x)csch(x) +--R + +--R 3 3 3 3 +--R (40a cosh(x) - 24a cosh(x))coth(x) +--R + +--R 2 3 3 2 3 +--R ((120a b - 120a )cosh(x) + (- 72a b + 72a )cosh(x))coth(x) +--R + +--R 2 2 2 +--R 60a b cosh(x) - 48a b cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (- 45a b cosh(x) + 54a b cosh(x) - 9a b)coth(x)csch(x) +--R + +--R 3 4 3 2 3 3 +--R (30a cosh(x) - 36a cosh(x) + 6a )coth(x) +--R + +--R 2 3 4 2 3 2 +--R (90a b - 90a )cosh(x) + (- 108a b + 108a )cosh(x) +--R + +--R 2 3 +--R 18a b - 18a +--R * +--R coth(x) +--R + +--R 2 3 2 2 2 3 +--R 60a b cosh(x) - 72a b cosh(x) + 24a b - 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 18a b cosh(x) + 36a b cosh(x) - 18a b cosh(x))coth(x)csch(x) +--R + +--R 3 5 3 3 3 3 +--R (12a cosh(x) - 24a cosh(x) + 12a cosh(x))coth(x) +--R + +--R 2 3 5 2 3 3 +--R (36a b - 36a )cosh(x) + (- 72a b + 72a )cosh(x) +--R + +--R 2 3 +--R (36a b - 36a )cosh(x) +--R * +--R coth(x) +--R + +--R 2 4 2 3 2 3 2 +--R 30a b cosh(x) - 48a b cosh(x) + (48a b - 48a )cosh(x) - 6a b +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R (- 3a b cosh(x) + 9a b cosh(x) - 9a b cosh(x) + 3a b)coth(x) +--R * +--R csch(x) +--R + +--R 3 6 3 4 3 2 3 3 +--R (2a cosh(x) - 6a cosh(x) + 6a cosh(x) - 2a )coth(x) +--R + +--R 2 3 6 2 3 4 +--R (6a b - 6a )cosh(x) + (- 18a b + 18a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (18a b - 18a )cosh(x) - 6a b + 6a +--R * +--R coth(x) +--R + +--R 2 5 2 4 2 3 2 +--R 6a b cosh(x) - 12a b cosh(x) + (24a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R - 6a b cosh(x) - 12a b + 8a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 6 4 5 4 2 4 4 +--R 6a sinh(x) + 36a cosh(x)sinh(x) + (90a cosh(x) - 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (120a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90a cosh(x) - 108a cosh(x) + 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36a cosh(x) - 72a cosh(x) + 36a cosh(x))sinh(x) + 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R - 18a cosh(x) + 18a cosh(x) - 6a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 129 + +--S 130 of 530 +--d0525:= D(m0525,x) +--E 130 + +--S 131 of 530 +t0526:= csch(x)^2/(%i+sinh(x)) +--R +--R +--R 2 +--R csch(x) +--R (129) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 131 + +--S 132 of 530 +r0526:= -acoth(cosh(x))+%i*coth(x)+cosh(x)/(1-%i*sinh(x)) +--R +--R +--R (130) +--R (- sinh(x) - %i)acoth(cosh(x)) + %i coth(x)sinh(x) - coth(x) + %i cosh(x) +--R ------------------------------------------------------------------------- +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 132 + +--S 133 of 530 +a0526:= integrate(t0526,x) +--R +--R +--R (131) +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - %i)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) - 2%i cosh(x) + 1)sinh(x) - cosh(x) - %i cosh(x) +--R + +--R cosh(x) + %i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 +--R sinh(x) + (3cosh(x) + %i)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) + 2%i cosh(x) - 1)sinh(x) + cosh(x) + %i cosh(x) +--R + +--R - cosh(x) - %i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 +--R 2sinh(x) + (4cosh(x) + 2%i)sinh(x) + 2cosh(x) + 2%i cosh(x) - 4 +--R / +--R 3 2 2 +--R sinh(x) + (3cosh(x) + %i)sinh(x) + (3cosh(x) + 2%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 +--R cosh(x) + %i cosh(x) - cosh(x) - %i +--R Type: Union(Expression Complex Integer,...) +--E 133 + +--S 134 of 530 +m0526:= a0526-r0526 +--R +--R +--R (132) +--R 4 3 +--R - sinh(x) + (- 3cosh(x) - 2%i)sinh(x) +--R + +--R 2 2 +--R (- 3cosh(x) - 5%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 3 +--R (- cosh(x) - 4%i cosh(x) + 3cosh(x) + 2%i)sinh(x) - %i cosh(x) +--R + +--R 2 +--R cosh(x) + %i cosh(x) - 1 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 +--R sinh(x) + (3cosh(x) + 2%i)sinh(x) +--R + +--R 2 2 +--R (3cosh(x) + 5%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) + 4%i cosh(x) - 3cosh(x) - 2%i)sinh(x) + %i cosh(x) +--R + +--R 2 +--R - cosh(x) - %i cosh(x) + 1 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 4 3 +--R sinh(x) + (3cosh(x) + 2%i)sinh(x) +--R + +--R 2 2 +--R (3cosh(x) + 5%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) + 4%i cosh(x) - 3cosh(x) - 2%i)sinh(x) + %i cosh(x) +--R + +--R 2 +--R - cosh(x) - %i cosh(x) + 1 +--R * +--R acoth(cosh(x)) +--R + +--R 4 +--R - %i coth(x)sinh(x) +--R + +--R 3 +--R ((- 3%i cosh(x) + 2)coth(x) - %i cosh(x) + 2)sinh(x) +--R + +--R 2 2 +--R (- 3%i cosh(x) + 5cosh(x) + 2%i)coth(x) - 3%i cosh(x) + 5cosh(x) +--R + +--R 4%i +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 3 +--R (- %i cosh(x) + 4cosh(x) + 3%i cosh(x) - 2)coth(x) - 3%i cosh(x) +--R + +--R 2 +--R 4cosh(x) + 7%i cosh(x) - 6 +--R * +--R sinh(x) +--R + +--R 3 2 4 3 +--R (cosh(x) + %i cosh(x) - cosh(x) - %i)coth(x) - %i cosh(x) + cosh(x) +--R + +--R 2 +--R 3%i cosh(x) - 3cosh(x) - 4%i +--R / +--R 4 3 +--R sinh(x) + (3cosh(x) + 2%i)sinh(x) +--R + +--R 2 2 +--R (3cosh(x) + 5%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) + 4%i cosh(x) - 3cosh(x) - 2%i)sinh(x) + %i cosh(x) +--R + +--R 2 +--R - cosh(x) - %i cosh(x) + 1 +--R Type: Expression Complex Integer +--E 134 + +--S 135 of 530 +d0526:= D(m0526,x) +--R +--R +--R (133) +--R 9 +--R - sinh(x) +--R + +--R 2 2 2 8 +--R ((%i cosh(x) - %i)coth(x) - 2%i cosh(x) - 6cosh(x) - 2%i)sinh(x) +--R + +--R 3 2 2 3 +--R (6%i cosh(x) - 4cosh(x) - 6%i cosh(x) + 4)coth(x) - 12%i cosh(x) +--R + +--R 2 +--R - 8cosh(x) - 10%i cosh(x) + 1 +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 +--R (15%i cosh(x) - 22cosh(x) - 23%i cosh(x) + 22cosh(x) + 8%i) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R - 29%i cosh(x) + 18cosh(x) - 8%i cosh(x) - %i +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 20%i cosh(x) - 50cosh(x) - 58%i cosh(x) + 62cosh(x) +--R + +--R 38%i cosh(x) - 12 +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 34%i cosh(x) + 68cosh(x) + 34%i cosh(x) - 21cosh(x) +--R + +--R - 14%i cosh(x) - 3 +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 15%i cosh(x) - 60cosh(x) - 88%i cosh(x) + 106cosh(x) +--R + +--R 2 +--R 87%i cosh(x) - 46cosh(x) - 14%i +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 15%i cosh(x) + 84cosh(x) + 83%i cosh(x) - 64cosh(x) +--R + +--R 2 +--R - 45%i cosh(x) + 4cosh(x) - 7%i +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 6%i cosh(x) - 40cosh(x) - 78%i cosh(x) + 108cosh(x) +--R + +--R 3 2 +--R 114%i cosh(x) - 80cosh(x) - 42%i cosh(x) + 12 +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R 8%i cosh(x) + 44cosh(x) + 70%i cosh(x) - 77cosh(x) +--R + +--R 3 2 +--R - 56%i cosh(x) + 34cosh(x) - 14%i cosh(x) - 1 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R %i cosh(x) - 14cosh(x) - 39%i cosh(x) + 62cosh(x) +--R + +--R 4 3 2 +--R 83%i cosh(x) - 74cosh(x) - 53%i cosh(x) + 26cosh(x) + 8%i +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R 13%i cosh(x) + 2cosh(x) + 18%i cosh(x) - 36cosh(x) +--R + +--R 4 3 2 +--R - 26%i cosh(x) + 34cosh(x) + 2%i cosh(x) - 7%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2cosh(x) - 10%i cosh(x) + 18cosh(x) + 30%i cosh(x) +--R + +--R 4 3 2 +--R - 34cosh(x) - 30%i cosh(x) + 22cosh(x) + 10%i cosh(x) - 4 +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 4 +--R 6%i cosh(x) - 7cosh(x) - 6%i cosh(x) + cosh(x) - cosh(x) +--R + +--R 3 2 +--R 10%i cosh(x) + 3cosh(x) - 10%i cosh(x) + 4 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - %i cosh(x) + 2cosh(x) + 4%i cosh(x) - 6cosh(x) - 6%i cosh(x) +--R + +--R 3 2 +--R 6cosh(x) + 4%i cosh(x) - 2cosh(x) - %i +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 6 +--R %i cosh(x) - 2cosh(x) - 3%i cosh(x) + 4cosh(x) + 2%i cosh(x) +--R + +--R 5 4 3 2 +--R - 8cosh(x) + 2%i cosh(x) + 4cosh(x) - 3%i cosh(x) + 2cosh(x) + %i +--R / +--R 2 8 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 7 +--R (6cosh(x) + 4%i cosh(x) - 6cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 6 +--R (15cosh(x) + 22%i cosh(x) - 23cosh(x) - 22%i cosh(x) + 8)sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) + 50%i cosh(x) - 58cosh(x) - 62%i cosh(x) + 38cosh(x) +--R + +--R 12%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 15cosh(x) + 60%i cosh(x) - 88cosh(x) - 106%i cosh(x) + 87cosh(x) +--R + +--R 46%i cosh(x) - 14 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 6cosh(x) + 40%i cosh(x) - 78cosh(x) - 108%i cosh(x) + 114cosh(x) +--R + +--R 2 +--R 80%i cosh(x) - 42cosh(x) - 12%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 14%i cosh(x) - 39cosh(x) - 62%i cosh(x) + 83cosh(x) +--R + +--R 3 2 +--R 74%i cosh(x) - 53cosh(x) - 26%i cosh(x) + 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) - 10cosh(x) - 18%i cosh(x) + 30cosh(x) +--R + +--R 4 3 2 +--R 34%i cosh(x) - 30cosh(x) - 22%i cosh(x) + 10cosh(x) + 4%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 2%i cosh(x) + 4cosh(x) + 6%i cosh(x) - 6cosh(x) +--R + +--R 3 2 +--R - 6%i cosh(x) + 4cosh(x) + 2%i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 135 + +--S 136 of 530 +t0527:= csch(x)^3/(%i+sinh(x)) +--R +--R +--R 3 +--R csch(x) +--R (134) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 136 + +--S 137 of 530 +r0527:= -3/2*%i*acoth(cosh(x))-coth(x)+1/2*%i*coth(x)*csch(x)+_ + %i*cosh(x)/(1-%i*sinh(x)) +--R +--R +--R (135) +--R 3 3 +--R (- - %i sinh(x) + -)acoth(cosh(x)) +--R 2 2 +--R + +--R 1 1 +--R (- %i coth(x)csch(x) - coth(x))sinh(x) - - coth(x)csch(x) - %i coth(x) +--R 2 2 +--R + +--R - cosh(x) +--R / +--R sinh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 137 + +--S 138 of 530 +a0527:= integrate(t0527,x) +--R +--R +--R (136) +--R 5 4 +--R 3%i sinh(x) + (15%i cosh(x) - 3)sinh(x) +--R + +--R 2 3 +--R (30%i cosh(x) - 12cosh(x) - 6%i)sinh(x) +--R + +--R 3 2 2 +--R (30%i cosh(x) - 18cosh(x) - 18%i cosh(x) + 6)sinh(x) +--R + +--R 4 3 2 +--R (15%i cosh(x) - 12cosh(x) - 18%i cosh(x) + 12cosh(x) + 3%i)sinh(x) +--R + +--R 5 4 3 2 +--R 3%i cosh(x) - 3cosh(x) - 6%i cosh(x) + 6cosh(x) + 3%i cosh(x) - 3 +--R * +--R sinh(x) + cosh(x) - 1 +--R log(---------------------) +--R sinh(x) + cosh(x) + 1 +--R + +--R 4 3 +--R 6%i sinh(x) + (24%i cosh(x) - 6)sinh(x) +--R + +--R 2 2 +--R (36%i cosh(x) - 18cosh(x) - 10%i)sinh(x) +--R + +--R 3 2 4 +--R (24%i cosh(x) - 18cosh(x) - 20%i cosh(x) + 2)sinh(x) + 6%i cosh(x) +--R + +--R 3 2 +--R - 6cosh(x) - 10%i cosh(x) + 2cosh(x) + 8%i +--R / +--R 5 4 +--R 2sinh(x) + (10cosh(x) + 2%i)sinh(x) +--R + +--R 2 3 +--R (20cosh(x) + 8%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 2 +--R (20cosh(x) + 12%i cosh(x) - 12cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 +--R (10cosh(x) + 8%i cosh(x) - 12cosh(x) - 8%i cosh(x) + 2)sinh(x) +--R + +--R 5 4 3 2 +--R 2cosh(x) + 2%i cosh(x) - 4cosh(x) - 4%i cosh(x) + 2cosh(x) + 2%i +--R Type: Union(Expression Complex Integer,...) +--E 138 + +--S 139 of 530 +m0527:= a0527-r0527 +--R +--R +--R (137) +--R 3 6 15 5 +--R - %i sinh(x) + (-- %i cosh(x) - 3)sinh(x) +--R 2 2 +--R + +--R 2 27 9 4 +--R (15%i cosh(x) - -- cosh(x) - - %i)sinh(x) +--R 2 2 +--R + +--R 3 2 3 +--R (15%i cosh(x) - 24cosh(x) - 15%i cosh(x) + 6)sinh(x) +--R + +--R 15 4 3 2 9 +--R (-- %i cosh(x) - 21cosh(x) - 18%i cosh(x) + 15cosh(x) + - %i) +--R 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 4 3 2 +--R - %i cosh(x) - 9cosh(x) - 9%i cosh(x) + 12cosh(x) +--R 2 +--R + +--R 15 +--R -- %i cosh(x) - 3 +--R 2 +--R * +--R sinh(x) +--R + +--R 3 5 3 4 3 2 3 +--R - - cosh(x) - - %i cosh(x) + 3cosh(x) + 3%i cosh(x) - - cosh(x) +--R 2 2 2 +--R + +--R 3 +--R - - %i +--R 2 +--R * +--R sinh(x) + cosh(x) - 1 +--R log(---------------------) +--R sinh(x) + cosh(x) + 1 +--R + +--R 3 6 15 5 +--R - %i sinh(x) + (-- %i cosh(x) - 3)sinh(x) +--R 2 2 +--R + +--R 2 27 9 4 +--R (15%i cosh(x) - -- cosh(x) - - %i)sinh(x) +--R 2 2 +--R + +--R 3 2 3 +--R (15%i cosh(x) - 24cosh(x) - 15%i cosh(x) + 6)sinh(x) +--R + +--R 15 4 3 2 9 +--R (-- %i cosh(x) - 21cosh(x) - 18%i cosh(x) + 15cosh(x) + - %i) +--R 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 4 3 2 +--R - %i cosh(x) - 9cosh(x) - 9%i cosh(x) + 12cosh(x) +--R 2 +--R + +--R 15 +--R -- %i cosh(x) - 3 +--R 2 +--R * +--R sinh(x) +--R + +--R 3 5 3 4 3 2 3 +--R - - cosh(x) - - %i cosh(x) + 3cosh(x) + 3%i cosh(x) - - cosh(x) +--R 2 2 2 +--R + +--R 3 +--R - - %i +--R 2 +--R * +--R acoth(cosh(x)) +--R + +--R 1 6 +--R (- - %i coth(x)csch(x) + coth(x))sinh(x) +--R 2 +--R + +--R 5 +--R (- - %i cosh(x) + 1)coth(x)csch(x) + (5cosh(x) + 2%i)coth(x) +--R 2 +--R + +--R cosh(x) + 3%i +--R * +--R 5 +--R sinh(x) +--R + +--R 2 9 3 +--R (- 5%i cosh(x) + - cosh(x) + - %i)coth(x)csch(x) +--R 2 2 +--R + +--R 2 2 +--R (10cosh(x) + 9%i cosh(x) - 3)coth(x) + 5cosh(x) + 13%i cosh(x) - 6 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 +--R (- 5%i cosh(x) + 8cosh(x) + 5%i cosh(x) - 2)coth(x)csch(x) +--R + +--R 3 2 3 +--R (10cosh(x) + 16%i cosh(x) - 10cosh(x) - 4%i)coth(x) + 10cosh(x) +--R + +--R 2 +--R 22%i cosh(x) - 23cosh(x) - 8%i +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 3 +--R (- - %i cosh(x) + 7cosh(x) + 6%i cosh(x) - 5cosh(x) - - %i) +--R 2 2 +--R * +--R coth(x)csch(x) +--R + +--R 4 3 2 +--R (5cosh(x) + 14%i cosh(x) - 12cosh(x) - 10%i cosh(x) + 3)coth(x) +--R + +--R 4 3 2 +--R 10cosh(x) + 18%i cosh(x) - 33cosh(x) - 21%i cosh(x) + 6 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 5 4 3 2 +--R - - %i cosh(x) + 3cosh(x) + 3%i cosh(x) - 4cosh(x) +--R 2 +--R + +--R 5 +--R - - %i cosh(x) + 1 +--R 2 +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R cosh(x) + 6%i cosh(x) - 6cosh(x) - 8%i cosh(x) + 5cosh(x) +--R + +--R 2%i +--R * +--R coth(x) +--R + +--R 5 4 3 2 +--R 5cosh(x) + 7%i cosh(x) - 21cosh(x) - 18%i cosh(x) + 12cosh(x) + 5%i +--R * +--R sinh(x) +--R + +--R 1 5 1 4 3 2 1 +--R - cosh(x) + - %i cosh(x) - cosh(x) - %i cosh(x) + - cosh(x) +--R 2 2 2 +--R + +--R 1 +--R - %i +--R 2 +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R (%i cosh(x) - cosh(x) - 2%i cosh(x) + 2cosh(x) + %i cosh(x) - 1) +--R * +--R coth(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) + %i cosh(x) - 5cosh(x) - 5%i cosh(x) + 6cosh(x) +--R + +--R 2%i cosh(x) - 4 +--R / +--R 6 5 +--R sinh(x) + (5cosh(x) + 2%i)sinh(x) +--R + +--R 2 4 +--R (10cosh(x) + 9%i cosh(x) - 3)sinh(x) +--R + +--R 3 2 3 +--R (10cosh(x) + 16%i cosh(x) - 10cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 2 +--R (5cosh(x) + 14%i cosh(x) - 12cosh(x) - 10%i cosh(x) + 3)sinh(x) +--R + +--R 5 4 3 2 +--R (cosh(x) + 6%i cosh(x) - 6cosh(x) - 8%i cosh(x) + 5cosh(x) + 2%i) +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R %i cosh(x) - cosh(x) - 2%i cosh(x) + 2cosh(x) + %i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 139 + +--S 140 of 530 +d0527:= D(m0527,x) +--R +--R +--R (138) +--R 3 11 +--R - - %i sinh(x) +--R 2 +--R + +--R 2 2 1 2 1 +--R ((%i cosh(x) - %i)coth(x) - - %i cosh(x) + - %i)csch(x) +--R 2 2 +--R + +--R 2 2 2 +--R (- cosh(x) + 1)coth(x) + 2cosh(x) - 12%i cosh(x) + 4 +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 2 +--R (8%i cosh(x) - 4cosh(x) - 8%i cosh(x) + 4)coth(x) +--R + +--R 3 2 +--R - 4%i cosh(x) + 2cosh(x) + 4%i cosh(x) - 2 +--R * +--R csch(x) +--R + +--R 3 2 2 3 +--R (- 8cosh(x) - 4%i cosh(x) + 8cosh(x) + 4%i)coth(x) + 16cosh(x) +--R + +--R 2 13 +--R - 35%i cosh(x) + 29cosh(x) + -- %i +--R 2 +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 +--R (28%i cosh(x) - 30cosh(x) - 37%i cosh(x) + 30cosh(x) + 9%i) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 37 2 9 +--R - 14%i cosh(x) + 15cosh(x) + -- %i cosh(x) - 15cosh(x) - - %i +--R 2 2 +--R * +--R csch(x) +--R + +--R 4 3 2 +--R (- 28cosh(x) - 30%i cosh(x) + 37cosh(x) + 30%i cosh(x) - 9) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R 55cosh(x) - 32%i cosh(x) + 77cosh(x) + 38%i cosh(x) - 9 +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 56%i cosh(x) - 98cosh(x) - 116%i cosh(x) + 114cosh(x) +--R + +--R 60%i cosh(x) - 16 +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 28%i cosh(x) + 49cosh(x) + 58%i cosh(x) - 57cosh(x) +--R + +--R - 30%i cosh(x) + 8 +--R * +--R csch(x) +--R + +--R 5 4 3 2 +--R - 56cosh(x) - 98%i cosh(x) + 116cosh(x) + 114%i cosh(x) +--R + +--R - 60cosh(x) - 16%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R 104cosh(x) + 61%i cosh(x) + 71cosh(x) + 66%i cosh(x) - 40cosh(x) +--R + +--R - 7%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 70%i cosh(x) - 182cosh(x) - 242%i cosh(x) + 274cosh(x) +--R + +--R 2 +--R 194%i cosh(x) - 92cosh(x) - 22%i +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 35%i cosh(x) + 91cosh(x) + 121%i cosh(x) - 137cosh(x) +--R + +--R 2 +--R - 97%i cosh(x) + 46cosh(x) + 11%i +--R * +--R csch(x) +--R + +--R 6 5 4 3 +--R - 70cosh(x) - 182%i cosh(x) + 242cosh(x) + 274%i cosh(x) +--R + +--R 2 +--R - 194cosh(x) - 92%i cosh(x) + 22 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R 112cosh(x) + 210%i cosh(x) - 67cosh(x) - 26%i cosh(x) +--R + +--R 2 +--R - 13cosh(x) - 16%i cosh(x) - 14 +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 56%i cosh(x) - 210cosh(x) - 332%i cosh(x) + 432cosh(x) +--R + +--R 3 2 +--R 384%i cosh(x) - 246cosh(x) - 108%i cosh(x) + 24 +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R - 28%i cosh(x) + 105cosh(x) + 166%i cosh(x) - 216cosh(x) +--R + +--R 3 2 +--R - 192%i cosh(x) + 123cosh(x) + 54%i cosh(x) - 12 +--R * +--R csch(x) +--R + +--R 7 6 5 4 +--R - 56cosh(x) - 210%i cosh(x) + 332cosh(x) + 432%i cosh(x) +--R + +--R 3 2 +--R - 384cosh(x) - 246%i cosh(x) + 108cosh(x) + 24%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R 56cosh(x) + 266%i cosh(x) - 227cosh(x) - 239%i cosh(x) +--R + +--R 3 2 +--R 193cosh(x) + 80%i cosh(x) - 82cosh(x) - 35%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 28%i cosh(x) - 154cosh(x) - 298%i cosh(x) + 444cosh(x) +--R + +--R 4 3 2 +--R 486%i cosh(x) - 386cosh(x) - 238%i cosh(x) + 96cosh(x) +--R + +--R 22%i +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R - 14%i cosh(x) + 77cosh(x) + 149%i cosh(x) - 222cosh(x) +--R + +--R 4 3 2 +--R - 243%i cosh(x) + 193cosh(x) + 119%i cosh(x) - 48cosh(x) - 11%i +--R * +--R csch(x) +--R + +--R 8 7 6 5 +--R - 28cosh(x) - 154%i cosh(x) + 298cosh(x) + 444%i cosh(x) +--R + +--R 4 3 2 +--R - 486cosh(x) - 386%i cosh(x) + 238cosh(x) + 96%i cosh(x) - 22 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R - 14cosh(x) + 170%i cosh(x) - 221cosh(x) - 336%i cosh(x) +--R + +--R 4 3 2 +--R 412cosh(x) + 330%i cosh(x) - 225cosh(x) - 164%i cosh(x) + 24 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 8%i cosh(x) - 70cosh(x) - 172%i cosh(x) + 290cosh(x) +--R + +--R 5 4 3 2 +--R 388%i cosh(x) - 370cosh(x) - 292%i cosh(x) + 166cosh(x) +--R + +--R 68%i cosh(x) - 16 +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R - 4%i cosh(x) + 35cosh(x) + 86%i cosh(x) - 145cosh(x) +--R + +--R 5 4 3 2 +--R - 194%i cosh(x) + 185cosh(x) + 146%i cosh(x) - 83cosh(x) +--R + +--R - 34%i cosh(x) + 8 +--R * +--R csch(x) +--R + +--R 9 8 7 6 +--R - 8cosh(x) - 70%i cosh(x) + 172cosh(x) + 290%i cosh(x) +--R + +--R 5 4 3 2 +--R - 388cosh(x) - 370%i cosh(x) + 292cosh(x) + 166%i cosh(x) +--R + +--R - 68cosh(x) - 16%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 81 8 7 6 +--R - 40cosh(x) + -- %i cosh(x) - 83cosh(x) - 202%i cosh(x) +--R 2 +--R + +--R 5 4 3 2 +--R 354cosh(x) + 451%i cosh(x) - 335cosh(x) - 298%i cosh(x) +--R + +--R 17 +--R 104cosh(x) + -- %i +--R 2 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R %i cosh(x) - 18cosh(x) - 61%i cosh(x) + 114cosh(x) +--R + +--R 6 5 4 3 +--R 186%i cosh(x) - 210cosh(x) - 202%i cosh(x) + 150cosh(x) +--R + +--R 2 +--R 85%i cosh(x) - 36cosh(x) - 9%i +--R * +--R 2 +--R coth(x) +--R + +--R 1 10 9 61 8 7 +--R - - %i cosh(x) + 9cosh(x) + -- %i cosh(x) - 57cosh(x) +--R 2 2 +--R + +--R 6 5 4 3 +--R - 93%i cosh(x) + 105cosh(x) + 101%i cosh(x) - 75cosh(x) +--R + +--R 85 2 9 +--R - -- %i cosh(x) + 18cosh(x) + - %i +--R 2 2 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R - cosh(x) - 18%i cosh(x) + 61cosh(x) + 114%i cosh(x) +--R + +--R 6 5 4 3 +--R - 186cosh(x) - 210%i cosh(x) + 202cosh(x) + 150%i cosh(x) +--R + +--R 2 +--R - 85cosh(x) - 36%i cosh(x) + 9 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R - 26cosh(x) - 14%i cosh(x) + 11cosh(x) - 34%i cosh(x) +--R + +--R 6 5 4 3 +--R 127cosh(x) + 266%i cosh(x) - 269cosh(x) - 246%i cosh(x) +--R + +--R 2 +--R 163cosh(x) + 28%i cosh(x) - 6 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 2cosh(x) - 12%i cosh(x) + 24cosh(x) + 48%i cosh(x) +--R + +--R 6 5 4 3 +--R - 64cosh(x) - 72%i cosh(x) + 68cosh(x) + 48%i cosh(x) +--R + +--R 2 +--R - 30cosh(x) - 12%i cosh(x) + 4 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R cosh(x) + 6%i cosh(x) - 12cosh(x) - 24%i cosh(x) +--R + +--R 6 5 4 3 +--R 32cosh(x) + 36%i cosh(x) - 34cosh(x) - 24%i cosh(x) +--R + +--R 2 +--R 15cosh(x) + 6%i cosh(x) - 2 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R - 2%i cosh(x) + 12cosh(x) + 24%i cosh(x) - 48cosh(x) +--R + +--R 6 5 4 3 +--R - 64%i cosh(x) + 72cosh(x) + 68%i cosh(x) - 48cosh(x) +--R + +--R 2 +--R - 30%i cosh(x) + 12cosh(x) + 4%i +--R * +--R 2 +--R coth(x) +--R + +--R 11 10 9 33 8 +--R - 8cosh(x) - 11%i cosh(x) + 18cosh(x) + -- %i cosh(x) +--R 2 +--R + +--R 7 6 5 4 3 +--R 5cosh(x) + 52%i cosh(x) - 107cosh(x) - 81%i cosh(x) + 103cosh(x) +--R + +--R 2 7 +--R 27%i cosh(x) - 11cosh(x) - - %i +--R 2 +--R * +--R sinh(x) +--R + +--R 10 9 8 7 +--R - %i cosh(x) + 2cosh(x) + 5%i cosh(x) - 8cosh(x) +--R + +--R 6 5 4 3 +--R - 10%i cosh(x) + 12cosh(x) + 10%i cosh(x) - 8cosh(x) +--R + +--R 2 +--R - 5%i cosh(x) + 2cosh(x) + %i +--R * +--R 2 +--R coth(x) +--R + +--R 1 10 9 5 8 7 6 +--R - %i cosh(x) - cosh(x) - - %i cosh(x) + 4cosh(x) + 5%i cosh(x) +--R 2 2 +--R + +--R 5 4 3 5 2 1 +--R - 6cosh(x) - 5%i cosh(x) + 4cosh(x) + - %i cosh(x) - cosh(x) - - %i +--R 2 2 +--R * +--R csch(x) +--R + +--R 10 9 8 7 6 +--R cosh(x) + 2%i cosh(x) - 5cosh(x) - 8%i cosh(x) + 10cosh(x) +--R + +--R 5 4 3 2 +--R 12%i cosh(x) - 10cosh(x) - 8%i cosh(x) + 5cosh(x) + 2%i cosh(x) - 1 +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 8 +--R - cosh(x) - 2%i cosh(x) + 4cosh(x) + 6%i cosh(x) - 5cosh(x) +--R + +--R 7 6 5 4 3 +--R - 4%i cosh(x) - 16cosh(x) - 4%i cosh(x) + 21cosh(x) + 6%i cosh(x) +--R + +--R 2 +--R - 4cosh(x) - 2%i cosh(x) + 1 +--R / +--R 2 10 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 9 +--R (8cosh(x) + 4%i cosh(x) - 8cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 8 +--R (28cosh(x) + 30%i cosh(x) - 37cosh(x) - 30%i cosh(x) + 9)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 98%i cosh(x) - 116cosh(x) - 114%i cosh(x) + 60cosh(x) +--R + +--R 16%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 70cosh(x) + 182%i cosh(x) - 242cosh(x) - 274%i cosh(x) +--R + +--R 2 +--R 194cosh(x) + 92%i cosh(x) - 22 +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 56cosh(x) + 210%i cosh(x) - 332cosh(x) - 432%i cosh(x) +--R + +--R 3 2 +--R 384cosh(x) + 246%i cosh(x) - 108cosh(x) - 24%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 28cosh(x) + 154%i cosh(x) - 298cosh(x) - 444%i cosh(x) +--R + +--R 4 3 2 +--R 486cosh(x) + 386%i cosh(x) - 238cosh(x) - 96%i cosh(x) + 22 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 8cosh(x) + 70%i cosh(x) - 172cosh(x) - 290%i cosh(x) +--R + +--R 5 4 3 2 +--R 388cosh(x) + 370%i cosh(x) - 292cosh(x) - 166%i cosh(x) +--R + +--R 68cosh(x) + 16%i +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R cosh(x) + 18%i cosh(x) - 61cosh(x) - 114%i cosh(x) + 186cosh(x) +--R + +--R 5 4 3 2 +--R 210%i cosh(x) - 202cosh(x) - 150%i cosh(x) + 85cosh(x) +--R + +--R 36%i cosh(x) - 9 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) - 12cosh(x) - 24%i cosh(x) + 48cosh(x) +--R + +--R 6 5 4 3 +--R 64%i cosh(x) - 72cosh(x) - 68%i cosh(x) + 48cosh(x) +--R + +--R 2 +--R 30%i cosh(x) - 12cosh(x) - 4%i +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R - cosh(x) - 2%i cosh(x) + 5cosh(x) + 8%i cosh(x) - 10cosh(x) +--R + +--R 5 4 3 2 +--R - 12%i cosh(x) + 10cosh(x) + 8%i cosh(x) - 5cosh(x) - 2%i cosh(x) + 1 +--R Type: Expression Complex Fraction Integer +--E 140 + +--S 141 of 530 +t0528:= csch(x)^4/(%i+sinh(x)) +--R +--R +--R 4 +--R csch(x) +--R (139) ------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 141 + +--S 142 of 530 +r0528:= 3/2*acoth(cosh(x))-2*%i*coth(x)+1/3*%i*coth(x)^3-_ + 1/2*coth(x)*csch(x)-cosh(x)/(1-%i*sinh(x)) +--R +--R +--R (140) +--R 3 3 +--R (- sinh(x) + - %i)acoth(cosh(x)) +--R 2 2 +--R + +--R 1 1 3 +--R (- - coth(x)csch(x) + - %i coth(x) - 2%i coth(x))sinh(x) +--R 2 3 +--R + +--R 1 1 3 +--R - - %i coth(x)csch(x) - - coth(x) + 2coth(x) - %i cosh(x) +--R 2 3 +--R / +--R sinh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 142 + +--S 143 of 530 +a0528:= integrate(t0528,x) +--R +--R +--R (141) +--R 7 6 +--R 9sinh(x) + (63cosh(x) + 9%i)sinh(x) +--R + +--R 2 5 +--R (189cosh(x) + 54%i cosh(x) - 27)sinh(x) +--R + +--R 3 2 4 +--R (315cosh(x) + 135%i cosh(x) - 135cosh(x) - 27%i)sinh(x) +--R + +--R 4 3 2 +--R (315cosh(x) + 180%i cosh(x) - 270cosh(x) - 108%i cosh(x) + 27) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 189cosh(x) + 135%i cosh(x) - 270cosh(x) - 162%i cosh(x) +--R + +--R 81cosh(x) + 27%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 63cosh(x) + 54%i cosh(x) - 135cosh(x) - 108%i cosh(x) +--R + +--R 2 +--R 81cosh(x) + 54%i cosh(x) - 9 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 9cosh(x) + 9%i cosh(x) - 27cosh(x) - 27%i cosh(x) + 27cosh(x) +--R + +--R 2 +--R 27%i cosh(x) - 9cosh(x) - 9%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 7 6 +--R - 9sinh(x) + (- 63cosh(x) - 9%i)sinh(x) +--R + +--R 2 5 +--R (- 189cosh(x) - 54%i cosh(x) + 27)sinh(x) +--R + +--R 3 2 4 +--R (- 315cosh(x) - 135%i cosh(x) + 135cosh(x) + 27%i)sinh(x) +--R + +--R 4 3 2 +--R (- 315cosh(x) - 180%i cosh(x) + 270cosh(x) + 108%i cosh(x) - 27) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 189cosh(x) - 135%i cosh(x) + 270cosh(x) + 162%i cosh(x) +--R + +--R - 81cosh(x) - 27%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 63cosh(x) - 54%i cosh(x) + 135cosh(x) + 108%i cosh(x) +--R + +--R 2 +--R - 81cosh(x) - 54%i cosh(x) + 9 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 9cosh(x) - 9%i cosh(x) + 27cosh(x) + 27%i cosh(x) - 27cosh(x) +--R + +--R 2 +--R - 27%i cosh(x) + 9cosh(x) + 9%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 6 5 +--R - 18sinh(x) + (- 108cosh(x) - 18%i)sinh(x) +--R + +--R 2 4 +--R (- 270cosh(x) - 90%i cosh(x) + 48)sinh(x) +--R + +--R 3 2 3 +--R (- 360cosh(x) - 180%i cosh(x) + 192cosh(x) + 48%i)sinh(x) +--R + +--R 4 3 2 +--R (- 270cosh(x) - 180%i cosh(x) + 288cosh(x) + 144%i cosh(x) - 78) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 108cosh(x) - 90%i cosh(x) + 192cosh(x) + 144%i cosh(x) +--R + +--R - 156cosh(x) - 14%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 18cosh(x) - 18%i cosh(x) + 48cosh(x) + 48%i cosh(x) - 78cosh(x) +--R + +--R - 14%i cosh(x) + 32 +--R / +--R 7 6 +--R 6sinh(x) + (42cosh(x) + 6%i)sinh(x) +--R + +--R 2 5 +--R (126cosh(x) + 36%i cosh(x) - 18)sinh(x) +--R + +--R 3 2 4 +--R (210cosh(x) + 90%i cosh(x) - 90cosh(x) - 18%i)sinh(x) +--R + +--R 4 3 2 3 +--R (210cosh(x) + 120%i cosh(x) - 180cosh(x) - 72%i cosh(x) + 18)sinh(x) +--R + +--R 5 4 3 2 +--R 126cosh(x) + 90%i cosh(x) - 180cosh(x) - 108%i cosh(x) +--R + +--R 54cosh(x) + 18%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 42cosh(x) + 36%i cosh(x) - 90cosh(x) - 72%i cosh(x) + 54cosh(x) +--R + +--R 36%i cosh(x) - 6 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 6cosh(x) + 6%i cosh(x) - 18cosh(x) - 18%i cosh(x) + 18cosh(x) +--R + +--R 2 +--R 18%i cosh(x) - 6cosh(x) - 6%i +--R Type: Union(Expression Complex Integer,...) +--E 143 + +--S 144 of 530 +m0528:= a0528-r0528 +--R +--R +--R (142) +--R 3 8 21 7 +--R - sinh(x) + (-- cosh(x) + 3%i)sinh(x) +--R 2 2 +--R + +--R 63 2 39 6 +--R (-- cosh(x) + -- %i cosh(x) - 6)sinh(x) +--R 2 2 +--R + +--R 105 3 2 63 5 +--R (--- cosh(x) + 54%i cosh(x) - -- cosh(x) - 9%i)sinh(x) +--R 2 2 +--R + +--R 105 4 165 3 135 2 81 +--R (--- cosh(x) + --- %i cosh(x) - --- cosh(x) - -- %i cosh(x) + 9) +--R 2 2 2 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 63 5 4 3 2 +--R -- cosh(x) + 75%i cosh(x) - 75cosh(x) - 72%i cosh(x) +--R 2 +--R + +--R 63 +--R -- cosh(x) + 9%i +--R 2 +--R * +--R 3 +--R sinh(x) +--R + +--R 21 6 81 5 4 3 +--R -- cosh(x) + -- %i cosh(x) - 45cosh(x) - 63%i cosh(x) +--R 2 2 +--R + +--R 81 2 45 +--R -- cosh(x) + -- %i cosh(x) - 6 +--R 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 6 27 5 4 +--R - cosh(x) + 12%i cosh(x) - -- cosh(x) - 27%i cosh(x) +--R 2 2 +--R + +--R 45 3 2 21 +--R -- cosh(x) + 18%i cosh(x) - -- cosh(x) - 3%i +--R 2 2 +--R * +--R sinh(x) +--R + +--R 3 7 3 6 9 5 9 4 +--R - %i cosh(x) - - cosh(x) - - %i cosh(x) + - cosh(x) +--R 2 2 2 2 +--R + +--R 9 3 9 2 3 3 +--R - %i cosh(x) - - cosh(x) - - %i cosh(x) + - +--R 2 2 2 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 3 8 21 7 +--R - - sinh(x) + (- -- cosh(x) - 3%i)sinh(x) +--R 2 2 +--R + +--R 63 2 39 6 +--R (- -- cosh(x) - -- %i cosh(x) + 6)sinh(x) +--R 2 2 +--R + +--R 105 3 2 63 5 +--R (- --- cosh(x) - 54%i cosh(x) + -- cosh(x) + 9%i)sinh(x) +--R 2 2 +--R + +--R 105 4 165 3 135 2 81 +--R - --- cosh(x) - --- %i cosh(x) + --- cosh(x) + -- %i cosh(x) +--R 2 2 2 2 +--R + +--R - 9 +--R * +--R 4 +--R sinh(x) +--R + +--R 63 5 4 3 2 +--R - -- cosh(x) - 75%i cosh(x) + 75cosh(x) + 72%i cosh(x) +--R 2 +--R + +--R 63 +--R - -- cosh(x) - 9%i +--R 2 +--R * +--R 3 +--R sinh(x) +--R + +--R 21 6 81 5 4 3 +--R - -- cosh(x) - -- %i cosh(x) + 45cosh(x) + 63%i cosh(x) +--R 2 2 +--R + +--R 81 2 45 +--R - -- cosh(x) - -- %i cosh(x) + 6 +--R 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 6 27 5 4 +--R - - cosh(x) - 12%i cosh(x) + -- cosh(x) + 27%i cosh(x) +--R 2 2 +--R + +--R 45 3 2 21 +--R - -- cosh(x) - 18%i cosh(x) + -- cosh(x) + 3%i +--R 2 2 +--R * +--R sinh(x) +--R + +--R 3 7 3 6 9 5 9 4 +--R - - %i cosh(x) + - cosh(x) + - %i cosh(x) - - cosh(x) +--R 2 2 2 2 +--R + +--R 9 3 9 2 3 3 +--R - - %i cosh(x) + - cosh(x) + - %i cosh(x) - - +--R 2 2 2 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 3 8 21 7 +--R - - sinh(x) + (- -- cosh(x) - 3%i)sinh(x) +--R 2 2 +--R + +--R 63 2 39 6 +--R (- -- cosh(x) - -- %i cosh(x) + 6)sinh(x) +--R 2 2 +--R + +--R 105 3 2 63 5 +--R (- --- cosh(x) - 54%i cosh(x) + -- cosh(x) + 9%i)sinh(x) +--R 2 2 +--R + +--R 105 4 165 3 135 2 81 +--R - --- cosh(x) - --- %i cosh(x) + --- cosh(x) + -- %i cosh(x) +--R 2 2 2 2 +--R + +--R - 9 +--R * +--R 4 +--R sinh(x) +--R + +--R 63 5 4 3 2 +--R - -- cosh(x) - 75%i cosh(x) + 75cosh(x) + 72%i cosh(x) +--R 2 +--R + +--R 63 +--R - -- cosh(x) - 9%i +--R 2 +--R * +--R 3 +--R sinh(x) +--R + +--R 21 6 81 5 4 3 +--R - -- cosh(x) - -- %i cosh(x) + 45cosh(x) + 63%i cosh(x) +--R 2 2 +--R + +--R 81 2 45 +--R - -- cosh(x) - -- %i cosh(x) + 6 +--R 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 6 27 5 4 +--R - - cosh(x) - 12%i cosh(x) + -- cosh(x) + 27%i cosh(x) +--R 2 2 +--R + +--R 45 3 2 21 +--R - -- cosh(x) - 18%i cosh(x) + -- cosh(x) + 3%i +--R 2 2 +--R * +--R sinh(x) +--R + +--R 3 7 3 6 9 5 9 4 +--R - - %i cosh(x) + - cosh(x) + - %i cosh(x) - - cosh(x) +--R 2 2 2 2 +--R + +--R 9 3 9 2 3 3 +--R - - %i cosh(x) + - cosh(x) + - %i cosh(x) - - +--R 2 2 2 2 +--R * +--R acoth(cosh(x)) +--R + +--R 1 1 3 8 +--R (- coth(x)csch(x) - - %i coth(x) + 2%i coth(x))sinh(x) +--R 2 3 +--R + +--R 7 7 2 3 +--R (- cosh(x) + %i)coth(x)csch(x) + (- - %i cosh(x) + -)coth(x) +--R 2 3 3 +--R + +--R (14%i cosh(x) - 4)coth(x) + %i cosh(x) - 3 +--R * +--R 7 +--R sinh(x) +--R + +--R 21 2 13 +--R (-- cosh(x) + -- %i cosh(x) - 2)coth(x)csch(x) +--R 2 2 +--R + +--R 2 13 4 3 +--R (- 7%i cosh(x) + -- cosh(x) + - %i)coth(x) +--R 3 3 +--R + +--R 2 2 +--R (42%i cosh(x) - 26cosh(x) - 8%i)coth(x) + 7%i cosh(x) - 19cosh(x) +--R + +--R - 6%i +--R * +--R 6 +--R sinh(x) +--R + +--R 35 3 2 21 +--R (-- cosh(x) + 18%i cosh(x) - -- cosh(x) - 3%i)coth(x)csch(x) +--R 2 2 +--R + +--R 35 3 2 3 +--R (- -- %i cosh(x) + 12cosh(x) + 7%i cosh(x) - 2)coth(x) +--R 3 +--R + +--R 3 2 +--R (70%i cosh(x) - 72cosh(x) - 42%i cosh(x) + 12)coth(x) +--R + +--R 3 2 +--R 21%i cosh(x) - 51cosh(x) - 36%i cosh(x) + 11 +--R * +--R 5 +--R sinh(x) +--R + +--R 35 4 55 3 45 2 27 +--R (-- cosh(x) + -- %i cosh(x) - -- cosh(x) - -- %i cosh(x) + 3) +--R 2 2 2 2 +--R * +--R coth(x)csch(x) +--R + +--R 35 4 55 3 2 +--R (- -- %i cosh(x) + -- cosh(x) + 15%i cosh(x) - 9cosh(x) - 2%i) +--R 3 3 +--R * +--R 3 +--R coth(x) +--R + +--R 4 3 2 +--R (70%i cosh(x) - 110cosh(x) - 90%i cosh(x) + 54cosh(x) + 12%i) +--R * +--R coth(x) +--R + +--R 4 3 2 +--R 35%i cosh(x) - 75cosh(x) - 90%i cosh(x) + 50cosh(x) + 16%i +--R * +--R 4 +--R sinh(x) +--R + +--R 21 5 4 3 2 +--R -- cosh(x) + 25%i cosh(x) - 25cosh(x) - 24%i cosh(x) +--R 2 +--R + +--R 21 +--R -- cosh(x) + 3%i +--R 2 +--R * +--R coth(x)csch(x) +--R + +--R 5 50 4 50 3 2 +--R - 7%i cosh(x) + -- cosh(x) + -- %i cosh(x) - 16cosh(x) +--R 3 3 +--R + +--R - 7%i cosh(x) + 2 +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 3 2 +--R 42%i cosh(x) - 100cosh(x) - 100%i cosh(x) + 96cosh(x) +--R + +--R 42%i cosh(x) - 12 +--R * +--R coth(x) +--R + +--R 5 4 3 2 +--R 35%i cosh(x) - 65cosh(x) - 120%i cosh(x) + 90cosh(x) +--R + +--R 59%i cosh(x) - 21 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 27 5 4 3 +--R - cosh(x) + -- %i cosh(x) - 15cosh(x) - 21%i cosh(x) +--R 2 2 +--R + +--R 27 2 15 +--R -- cosh(x) + -- %i cosh(x) - 2 +--R 2 2 +--R * +--R coth(x)csch(x) +--R + +--R 7 6 5 4 3 +--R - - %i cosh(x) + 9cosh(x) + 10%i cosh(x) - 14cosh(x) +--R 3 +--R + +--R 2 4 +--R - 9%i cosh(x) + 5cosh(x) + - %i +--R 3 +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 4 3 +--R 14%i cosh(x) - 54cosh(x) - 60%i cosh(x) + 84cosh(x) +--R + +--R 2 +--R 54%i cosh(x) - 30cosh(x) - 8%i +--R * +--R coth(x) +--R + +--R 6 5 4 3 +--R 21%i cosh(x) - 33cosh(x) - 90%i cosh(x) + 80cosh(x) +--R + +--R 2 46 +--R 81%i cosh(x) - 53cosh(x) - -- %i +--R 3 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 7 6 9 5 4 +--R - cosh(x) + 4%i cosh(x) - - cosh(x) - 9%i cosh(x) +--R 2 2 +--R + +--R 15 3 2 7 +--R -- cosh(x) + 6%i cosh(x) - - cosh(x) - %i +--R 2 2 +--R * +--R coth(x)csch(x) +--R + +--R 1 7 8 6 5 4 +--R - - %i cosh(x) + - cosh(x) + 3%i cosh(x) - 6cosh(x) +--R 3 3 +--R + +--R 3 2 7 2 +--R - 5%i cosh(x) + 4cosh(x) + - %i cosh(x) - - +--R 3 3 +--R * +--R 3 +--R coth(x) +--R + +--R 7 6 5 4 +--R 2%i cosh(x) - 16cosh(x) - 18%i cosh(x) + 36cosh(x) +--R + +--R 3 2 +--R 30%i cosh(x) - 24cosh(x) - 14%i cosh(x) + 4 +--R * +--R coth(x) +--R + +--R 7 6 5 4 3 +--R 7%i cosh(x) - 9cosh(x) - 36%i cosh(x) + 35cosh(x) + 49%i cosh(x) +--R + +--R 2 88 23 +--R - 43cosh(x) - -- %i cosh(x) + -- +--R 3 3 +--R * +--R sinh(x) +--R + +--R 1 7 1 6 3 5 3 4 +--R - %i cosh(x) - - cosh(x) - - %i cosh(x) + - cosh(x) +--R 2 2 2 2 +--R + +--R 3 3 3 2 1 1 +--R - %i cosh(x) - - cosh(x) - - %i cosh(x) + - +--R 2 2 2 2 +--R * +--R coth(x)csch(x) +--R + +--R 1 7 1 6 5 4 3 +--R - cosh(x) + - %i cosh(x) - cosh(x) - %i cosh(x) + cosh(x) +--R 3 3 +--R + +--R 2 1 1 +--R %i cosh(x) - - cosh(x) - - %i +--R 3 3 +--R * +--R 3 +--R coth(x) +--R + +--R 7 6 5 4 3 +--R - 2cosh(x) - 2%i cosh(x) + 6cosh(x) + 6%i cosh(x) - 6cosh(x) +--R + +--R 2 +--R - 6%i cosh(x) + 2cosh(x) + 2%i +--R * +--R coth(x) +--R + +--R 8 7 6 5 4 +--R %i cosh(x) - cosh(x) - 6%i cosh(x) + 6cosh(x) + 11%i cosh(x) +--R + +--R 3 2 10 16 +--R - 11cosh(x) - 14%i cosh(x) + -- cosh(x) + -- %i +--R 3 3 +--R / +--R 8 7 +--R sinh(x) + (7cosh(x) + 2%i)sinh(x) +--R + +--R 2 6 +--R (21cosh(x) + 13%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 5 +--R (35cosh(x) + 36%i cosh(x) - 21cosh(x) - 6%i)sinh(x) +--R + +--R 4 3 2 4 +--R (35cosh(x) + 55%i cosh(x) - 45cosh(x) - 27%i cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R 21cosh(x) + 50%i cosh(x) - 50cosh(x) - 48%i cosh(x) + 21cosh(x) +--R + +--R 6%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 7cosh(x) + 27%i cosh(x) - 30cosh(x) - 42%i cosh(x) + 27cosh(x) +--R + +--R 15%i cosh(x) - 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R cosh(x) + 8%i cosh(x) - 9cosh(x) - 18%i cosh(x) + 15cosh(x) +--R + +--R 2 +--R 12%i cosh(x) - 7cosh(x) - 2%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R %i cosh(x) - cosh(x) - 3%i cosh(x) + 3cosh(x) + 3%i cosh(x) +--R + +--R 2 +--R - 3cosh(x) - %i cosh(x) + 1 +--R Type: Expression Complex Fraction Integer +--E 144 + +--S 145 of 530 +d0528:= D(m0528,x) +--R +--R +--R (143) +--R 3 13 +--R - sinh(x) +--R 2 +--R + +--R 2 2 1 2 1 +--R ((- cosh(x) + 1)coth(x) + - cosh(x) - -)csch(x) +--R 2 2 +--R + +--R 2 4 2 2 +--R (%i cosh(x) - %i)coth(x) + (- 3%i cosh(x) + 3%i)coth(x) +--R + +--R 2 +--R 3%i cosh(x) + 15cosh(x) + 3%i +--R * +--R 12 +--R sinh(x) +--R + +--R 3 2 2 +--R (- 10cosh(x) - 4%i cosh(x) + 10cosh(x) + 4%i)coth(x) +--R + +--R 3 2 +--R 5cosh(x) + 2%i cosh(x) - 5cosh(x) - 2%i +--R * +--R csch(x) +--R + +--R 3 2 4 +--R (10%i cosh(x) - 4cosh(x) - 10%i cosh(x) + 4)coth(x) +--R + +--R 3 2 2 +--R (- 30%i cosh(x) + 12cosh(x) + 30%i cosh(x) - 12)coth(x) +--R + +--R 3 113 2 +--R 30%i cosh(x) + --- cosh(x) + 27%i cosh(x) - 4 +--R 2 +--R * +--R 11 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 45cosh(x) - 38%i cosh(x) + 55cosh(x) + 38%i cosh(x) - 10) +--R * +--R 2 +--R coth(x) +--R + +--R 45 4 3 55 2 +--R -- cosh(x) + 19%i cosh(x) - -- cosh(x) - 19%i cosh(x) + 5 +--R 2 2 +--R * +--R csch(x) +--R + +--R 4 3 2 +--R (45%i cosh(x) - 38cosh(x) - 55%i cosh(x) + 38cosh(x) + 10%i) +--R * +--R 4 +--R coth(x) +--R + +--R 4 3 2 +--R - 135%i cosh(x) + 114cosh(x) + 165%i cosh(x) - 114cosh(x) +--R + +--R - 30%i +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R 134%i cosh(x) + 76cosh(x) + 82%i cosh(x) - 25cosh(x) - 3%i +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 120cosh(x) - 162%i cosh(x) + 206cosh(x) + 182%i cosh(x) +--R + +--R - 86cosh(x) - 20%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R 60cosh(x) + 81%i cosh(x) - 103cosh(x) - 91%i cosh(x) +--R + +--R 43cosh(x) + 10%i +--R * +--R csch(x) +--R + +--R 5 4 3 2 +--R 120%i cosh(x) - 162cosh(x) - 206%i cosh(x) + 182cosh(x) +--R + +--R 86%i cosh(x) - 20 +--R * +--R 4 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 360%i cosh(x) + 486cosh(x) + 618%i cosh(x) - 546cosh(x) +--R + +--R - 258%i cosh(x) + 60 +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 3 2 +--R 350%i cosh(x) - 124cosh(x) + 32%i cosh(x) - - cosh(x) +--R 2 +--R + +--R 13 +--R - %i cosh(x) - -- +--R 2 +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 210cosh(x) - 408%i cosh(x) + 539cosh(x) + 562%i cosh(x) +--R + +--R 2 +--R - 360cosh(x) - 154%i cosh(x) + 31 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 539 4 3 +--R 105cosh(x) + 204%i cosh(x) - --- cosh(x) - 281%i cosh(x) +--R 2 +--R + +--R 2 31 +--R 180cosh(x) + 77%i cosh(x) - -- +--R 2 +--R * +--R csch(x) +--R + +--R 6 5 4 3 +--R 210%i cosh(x) - 408cosh(x) - 539%i cosh(x) + 562cosh(x) +--R + +--R 2 +--R 360%i cosh(x) - 154cosh(x) - 31%i +--R * +--R 4 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 630%i cosh(x) + 1224cosh(x) + 1617%i cosh(x) - 1686cosh(x) +--R + +--R 2 +--R - 1080%i cosh(x) + 462cosh(x) + 93%i +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R 585%i cosh(x) - 708cosh(x) - 442%i cosh(x) + 386cosh(x) +--R + +--R 2 +--R 165%i cosh(x) - 86cosh(x) - 20%i +--R * +--R 8 +--R sinh(x) +--R + +--R 7 6 5 +--R - 252cosh(x) - 672%i cosh(x) + 988cosh(x) +--R + +--R 4 3 2 +--R 1192%i cosh(x) - 948cosh(x) - 560%i cosh(x) + 212cosh(x) +--R + +--R 40%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R 126cosh(x) + 336%i cosh(x) - 494cosh(x) - 596%i cosh(x) +--R + +--R 3 2 +--R 474cosh(x) + 280%i cosh(x) - 106cosh(x) - 20%i +--R * +--R csch(x) +--R + +--R 7 6 5 4 +--R 252%i cosh(x) - 672cosh(x) - 988%i cosh(x) + 1192cosh(x) +--R + +--R 3 2 +--R 948%i cosh(x) - 560cosh(x) - 212%i cosh(x) + 40 +--R * +--R 4 +--R coth(x) +--R + +--R 7 6 5 4 +--R - 756%i cosh(x) + 2016cosh(x) + 2964%i cosh(x) - 3576cosh(x) +--R + +--R 3 2 +--R - 2844%i cosh(x) + 1680cosh(x) + 636%i cosh(x) - 120 +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R 636%i cosh(x) - 1419cosh(x) - 1382%i cosh(x) + 1478cosh(x) +--R + +--R 3 2 +--R 908%i cosh(x) - 471cosh(x) - 186%i cosh(x) + 4 +--R * +--R 7 +--R sinh(x) +--R + +--R 8 7 6 +--R - 210cosh(x) - 756%i cosh(x) + 1274cosh(x) +--R + +--R 5 4 3 +--R 1764%i cosh(x) - 1690cosh(x) - 1244%i cosh(x) +--R + +--R 2 +--R 670cosh(x) + 236%i cosh(x) - 44 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R 105cosh(x) + 378%i cosh(x) - 637cosh(x) - 882%i cosh(x) +--R + +--R 4 3 2 +--R 845cosh(x) + 622%i cosh(x) - 335cosh(x) - 118%i cosh(x) + 22 +--R * +--R csch(x) +--R + +--R 8 7 6 5 +--R 210%i cosh(x) - 756cosh(x) - 1274%i cosh(x) + 1764cosh(x) +--R + +--R 4 3 2 +--R 1690%i cosh(x) - 1244cosh(x) - 670%i cosh(x) + 236cosh(x) + 44%i +--R * +--R 4 +--R coth(x) +--R + +--R 8 7 6 5 +--R - 630%i cosh(x) + 2268cosh(x) + 3822%i cosh(x) - 5292cosh(x) +--R + +--R 4 3 2 +--R - 5070%i cosh(x) + 3732cosh(x) + 2010%i cosh(x) - 708cosh(x) +--R + +--R - 132%i +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R 420%i cosh(x) - 1668cosh(x) - 2128%i cosh(x) + 2814cosh(x) +--R + +--R 4 3 2 +--R 2302%i cosh(x) - 1392cosh(x) - 724%i cosh(x) + 102cosh(x) - 14%i +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 7 +--R - 120cosh(x) - 588%i cosh(x) + 1156cosh(x) +--R + +--R 6 5 4 +--R 1820%i cosh(x) - 2076cosh(x) - 1820%i cosh(x) +--R + +--R 3 2 +--R 1260cosh(x) + 628%i cosh(x) - 220cosh(x) - 40%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R 60cosh(x) + 294%i cosh(x) - 578cosh(x) - 910%i cosh(x) +--R + +--R 5 4 3 2 +--R 1038cosh(x) + 910%i cosh(x) - 630cosh(x) - 314%i cosh(x) +--R + +--R 110cosh(x) + 20%i +--R * +--R csch(x) +--R + +--R 9 8 7 6 +--R 120%i cosh(x) - 588cosh(x) - 1156%i cosh(x) + 1820cosh(x) +--R + +--R 5 4 3 2 +--R 2076%i cosh(x) - 1820cosh(x) - 1260%i cosh(x) + 628cosh(x) +--R + +--R 220%i cosh(x) - 40 +--R * +--R 4 +--R coth(x) +--R + +--R 9 8 7 6 +--R - 360%i cosh(x) + 1764cosh(x) + 3468%i cosh(x) - 5460cosh(x) +--R + +--R 5 4 3 2 +--R - 6228%i cosh(x) + 5460cosh(x) + 3780%i cosh(x) - 1884cosh(x) +--R + +--R - 660%i cosh(x) + 120 +--R * +--R 2 +--R coth(x) +--R + +--R 9 2469 8 7 6 +--R 108%i cosh(x) - ---- cosh(x) - 1964%i cosh(x) + 3199cosh(x) +--R 2 +--R + +--R 5 4 3 2 +--R 3354%i cosh(x) - 2450cosh(x) - 1520%i cosh(x) + 505cosh(x) +--R + +--R 39 +--R - 26%i cosh(x) - -- +--R 2 +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 +--R - 45cosh(x) - 312%i cosh(x) + 731cosh(x) +--R + +--R 7 6 5 +--R 1292%i cosh(x) - 1746cosh(x) - 1780%i cosh(x) +--R + +--R 4 3 2 +--R 1510cosh(x) + 964%i cosh(x) - 481cosh(x) - 164%i cosh(x) +--R + +--R 31 +--R * +--R 2 +--R coth(x) +--R + +--R 45 10 9 731 8 7 +--R -- cosh(x) + 156%i cosh(x) - --- cosh(x) - 646%i cosh(x) +--R 2 2 +--R + +--R 6 5 4 3 +--R 873cosh(x) + 890%i cosh(x) - 755cosh(x) - 482%i cosh(x) +--R + +--R 481 2 31 +--R --- cosh(x) + 82%i cosh(x) - -- +--R 2 2 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R 45%i cosh(x) - 312cosh(x) - 731%i cosh(x) + 1292cosh(x) +--R + +--R 6 5 4 3 +--R 1746%i cosh(x) - 1780cosh(x) - 1510%i cosh(x) + 964cosh(x) +--R + +--R 2 +--R 481%i cosh(x) - 164cosh(x) - 31%i +--R * +--R 4 +--R coth(x) +--R + +--R 10 9 8 7 +--R - 135%i cosh(x) + 936cosh(x) + 2193%i cosh(x) - 3876cosh(x) +--R + +--R 6 5 4 3 +--R - 5238%i cosh(x) + 5340cosh(x) + 4530%i cosh(x) - 2892cosh(x) +--R + +--R 2 +--R - 1443%i cosh(x) + 492cosh(x) + 93%i +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R - 75%i cosh(x) - 549cosh(x) - 1093%i cosh(x) + 2236cosh(x) +--R + +--R 6 5 4 3 +--R 2974%i cosh(x) - 2654cosh(x) - 1870%i cosh(x) + 1052cosh(x) +--R + +--R 2 +--R 109%i cosh(x) - 85cosh(x) - 45%i +--R * +--R 4 +--R sinh(x) +--R + +--R 11 10 9 +--R - 10cosh(x) - 108%i cosh(x) + 314cosh(x) +--R + +--R 8 7 6 5 +--R 612%i cosh(x) - 980cosh(x) - 1144%i cosh(x) + 1156cosh(x) +--R + +--R 4 3 2 +--R 904%i cosh(x) - 578cosh(x) - 284%i cosh(x) + 98cosh(x) +--R + +--R 20%i +--R * +--R 2 +--R coth(x) +--R + +--R 11 10 9 8 +--R 5cosh(x) + 54%i cosh(x) - 157cosh(x) - 306%i cosh(x) +--R + +--R 7 6 5 4 +--R 490cosh(x) + 572%i cosh(x) - 578cosh(x) - 452%i cosh(x) +--R + +--R 3 2 +--R 289cosh(x) + 142%i cosh(x) - 49cosh(x) - 10%i +--R * +--R csch(x) +--R + +--R 11 10 9 8 +--R 10%i cosh(x) - 108cosh(x) - 314%i cosh(x) + 612cosh(x) +--R + +--R 7 6 5 4 +--R 980%i cosh(x) - 1144cosh(x) - 1156%i cosh(x) + 904cosh(x) +--R + +--R 3 2 +--R 578%i cosh(x) - 284cosh(x) - 98%i cosh(x) + 20 +--R * +--R 4 +--R coth(x) +--R + +--R 11 10 9 8 +--R - 30%i cosh(x) + 324cosh(x) + 942%i cosh(x) - 1836cosh(x) +--R + +--R 7 6 5 4 +--R - 2940%i cosh(x) + 3432cosh(x) + 3468%i cosh(x) - 2712cosh(x) +--R + +--R 3 2 +--R - 1734%i cosh(x) + 852cosh(x) + 294%i cosh(x) - 60 +--R * +--R 2 +--R coth(x) +--R + +--R 11 219 10 9 8 +--R - 90%i cosh(x) - --- cosh(x) - 317%i cosh(x) + 906cosh(x) +--R 2 +--R + +--R 7 6 5 4 +--R 1580%i cosh(x) - 1741cosh(x) - 1370%i cosh(x) + 1074cosh(x) +--R + +--R 3 323 2 +--R 358%i cosh(x) - --- cosh(x) - 161%i cosh(x) + 32 +--R 2 +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 9 +--R - cosh(x) - 22%i cosh(x) + 87cosh(x) + 182%i cosh(x) +--R + +--R 8 7 6 5 +--R - 348cosh(x) - 460%i cosh(x) + 542cosh(x) + 508%i cosh(x) +--R + +--R 4 3 2 +--R - 393cosh(x) - 254%i cosh(x) + 123cosh(x) + 46%i cosh(x) +--R + +--R - 10 +--R * +--R 2 +--R coth(x) +--R + +--R 1 12 11 87 10 9 +--R - cosh(x) + 11%i cosh(x) - -- cosh(x) - 91%i cosh(x) +--R 2 2 +--R + +--R 8 7 6 5 +--R 174cosh(x) + 230%i cosh(x) - 271cosh(x) - 254%i cosh(x) +--R + +--R 393 4 3 123 2 +--R --- cosh(x) + 127%i cosh(x) - --- cosh(x) - 23%i cosh(x) + 5 +--R 2 2 +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R %i cosh(x) - 22cosh(x) - 87%i cosh(x) + 182cosh(x) +--R + +--R 8 7 6 5 +--R 348%i cosh(x) - 460cosh(x) - 542%i cosh(x) + 508cosh(x) +--R + +--R 4 3 2 +--R 393%i cosh(x) - 254cosh(x) - 123%i cosh(x) + 46cosh(x) + 10%i +--R * +--R 4 +--R coth(x) +--R + +--R 12 11 10 9 +--R - 3%i cosh(x) + 66cosh(x) + 261%i cosh(x) - 546cosh(x) +--R + +--R 8 7 6 5 +--R - 1044%i cosh(x) + 1380cosh(x) + 1626%i cosh(x) - 1524cosh(x) +--R + +--R 4 3 2 +--R - 1179%i cosh(x) + 762cosh(x) + 369%i cosh(x) - 138cosh(x) +--R + +--R - 30%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R - 42%i cosh(x) + 16cosh(x) - 10%i cosh(x) + 163cosh(x) +--R + +--R 8 7 6 5 +--R 453%i cosh(x) - 636cosh(x) - 576%i cosh(x) + 514cosh(x) +--R + +--R 4 3 2 +--R 380%i cosh(x) - 140cosh(x) - 222%i cosh(x) + 83cosh(x) + 17%i +--R * +--R 2 +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 2%i cosh(x) + 14cosh(x) + 30%i cosh(x) - 70cosh(x) +--R + +--R 8 7 6 5 +--R - 104%i cosh(x) + 140cosh(x) + 156%i cosh(x) - 140cosh(x) +--R + +--R 4 3 2 +--R - 114%i cosh(x) + 70cosh(x) + 38%i cosh(x) - 14cosh(x) - 4%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R %i cosh(x) - 7cosh(x) - 15%i cosh(x) + 35cosh(x) +--R + +--R 8 7 6 5 +--R 52%i cosh(x) - 70cosh(x) - 78%i cosh(x) + 70cosh(x) +--R + +--R 4 3 2 +--R 57%i cosh(x) - 35cosh(x) - 19%i cosh(x) + 7cosh(x) + 2%i +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R - 2cosh(x) - 14%i cosh(x) + 30cosh(x) + 70%i cosh(x) +--R + +--R 8 7 6 5 +--R - 104cosh(x) - 140%i cosh(x) + 156cosh(x) + 140%i cosh(x) +--R + +--R 4 3 2 +--R - 114cosh(x) - 70%i cosh(x) + 38cosh(x) + 14%i cosh(x) - 4 +--R * +--R 4 +--R coth(x) +--R + +--R 12 11 10 9 +--R 6cosh(x) + 42%i cosh(x) - 90cosh(x) - 210%i cosh(x) +--R + +--R 8 7 6 5 +--R 312cosh(x) + 420%i cosh(x) - 468cosh(x) - 420%i cosh(x) +--R + +--R 4 3 2 +--R 342cosh(x) + 210%i cosh(x) - 114cosh(x) - 42%i cosh(x) + 12 +--R * +--R 2 +--R coth(x) +--R + +--R 13 12 11 19 10 +--R - 10%i cosh(x) + 13cosh(x) + 20%i cosh(x) - -- cosh(x) +--R 2 +--R + +--R 9 199 8 7 6 +--R 47%i cosh(x) - --- cosh(x) - 124%i cosh(x) + 73cosh(x) +--R 2 +--R + +--R 5 4 3 145 2 +--R 168%i cosh(x) - 42cosh(x) - 128%i cosh(x) + --- cosh(x) +--R 2 +--R + +--R 15 +--R 27%i cosh(x) - -- +--R 2 +--R * +--R sinh(x) +--R + +--R 12 11 10 9 +--R cosh(x) + 2%i cosh(x) - 6cosh(x) - 10%i cosh(x) +--R + +--R 8 7 6 5 +--R 15cosh(x) + 20%i cosh(x) - 20cosh(x) - 20%i cosh(x) +--R + +--R 4 3 2 +--R 15cosh(x) + 10%i cosh(x) - 6cosh(x) - 2%i cosh(x) + 1 +--R * +--R 2 +--R coth(x) +--R + +--R 1 12 11 10 9 +--R - - cosh(x) - %i cosh(x) + 3cosh(x) + 5%i cosh(x) +--R 2 +--R + +--R 15 8 7 6 5 +--R - -- cosh(x) - 10%i cosh(x) + 10cosh(x) + 10%i cosh(x) +--R 2 +--R + +--R 15 4 3 2 1 +--R - -- cosh(x) - 5%i cosh(x) + 3cosh(x) + %i cosh(x) - - +--R 2 2 +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R - %i cosh(x) + 2cosh(x) + 6%i cosh(x) - 10cosh(x) +--R + +--R 8 7 6 5 +--R - 15%i cosh(x) + 20cosh(x) + 20%i cosh(x) - 20cosh(x) +--R + +--R 4 3 2 +--R - 15%i cosh(x) + 10cosh(x) + 6%i cosh(x) - 2cosh(x) - %i +--R * +--R 4 +--R coth(x) +--R + +--R 12 11 10 9 +--R 3%i cosh(x) - 6cosh(x) - 18%i cosh(x) + 30cosh(x) +--R + +--R 8 7 6 5 +--R 45%i cosh(x) - 60cosh(x) - 60%i cosh(x) + 60cosh(x) +--R + +--R 4 3 2 +--R 45%i cosh(x) - 30cosh(x) - 18%i cosh(x) + 6cosh(x) + 3%i +--R * +--R 2 +--R coth(x) +--R + +--R 14 13 12 11 10 +--R - %i cosh(x) + 2cosh(x) + 4%i cosh(x) - 6cosh(x) - 3%i cosh(x) +--R + +--R 8 7 6 5 4 +--R - 10%i cosh(x) - 12cosh(x) + 25%i cosh(x) + 2cosh(x) - 24%i cosh(x) +--R + +--R 3 2 +--R 18cosh(x) + 11%i cosh(x) - 4cosh(x) - 2%i +--R / +--R 2 12 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 11 +--R (10cosh(x) + 4%i cosh(x) - 10cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 10 +--R (45cosh(x) + 38%i cosh(x) - 55cosh(x) - 38%i cosh(x) + 10)sinh(x) +--R + +--R 5 4 3 2 +--R 120cosh(x) + 162%i cosh(x) - 206cosh(x) - 182%i cosh(x) +--R + +--R 86cosh(x) + 20%i +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 210cosh(x) + 408%i cosh(x) - 539cosh(x) - 562%i cosh(x) +--R + +--R 2 +--R 360cosh(x) + 154%i cosh(x) - 31 +--R * +--R 8 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 252cosh(x) + 672%i cosh(x) - 988cosh(x) - 1192%i cosh(x) +--R + +--R 3 2 +--R 948cosh(x) + 560%i cosh(x) - 212cosh(x) - 40%i +--R * +--R 7 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 210cosh(x) + 756%i cosh(x) - 1274cosh(x) - 1764%i cosh(x) +--R + +--R 4 3 2 +--R 1690cosh(x) + 1244%i cosh(x) - 670cosh(x) - 236%i cosh(x) + 44 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 120cosh(x) + 588%i cosh(x) - 1156cosh(x) - 1820%i cosh(x) +--R + +--R 5 4 3 2 +--R 2076cosh(x) + 1820%i cosh(x) - 1260cosh(x) - 628%i cosh(x) +--R + +--R 220cosh(x) + 40%i +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 45cosh(x) + 312%i cosh(x) - 731cosh(x) - 1292%i cosh(x) +--R + +--R 6 5 4 3 +--R 1746cosh(x) + 1780%i cosh(x) - 1510cosh(x) - 964%i cosh(x) +--R + +--R 2 +--R 481cosh(x) + 164%i cosh(x) - 31 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 10cosh(x) + 108%i cosh(x) - 314cosh(x) - 612%i cosh(x) +--R + +--R 7 6 5 4 +--R 980cosh(x) + 1144%i cosh(x) - 1156cosh(x) - 904%i cosh(x) +--R + +--R 3 2 +--R 578cosh(x) + 284%i cosh(x) - 98cosh(x) - 20%i +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 9 +--R cosh(x) + 22%i cosh(x) - 87cosh(x) - 182%i cosh(x) +--R + +--R 8 7 6 5 +--R 348cosh(x) + 460%i cosh(x) - 542cosh(x) - 508%i cosh(x) +--R + +--R 4 3 2 +--R 393cosh(x) + 254%i cosh(x) - 123cosh(x) - 46%i cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 2%i cosh(x) - 14cosh(x) - 30%i cosh(x) + 70cosh(x) +--R + +--R 8 7 6 5 +--R 104%i cosh(x) - 140cosh(x) - 156%i cosh(x) + 140cosh(x) +--R + +--R 4 3 2 +--R 114%i cosh(x) - 70cosh(x) - 38%i cosh(x) + 14cosh(x) + 4%i +--R * +--R sinh(x) +--R + +--R 12 11 10 9 8 +--R - cosh(x) - 2%i cosh(x) + 6cosh(x) + 10%i cosh(x) - 15cosh(x) +--R + +--R 7 6 5 4 3 +--R - 20%i cosh(x) + 20cosh(x) + 20%i cosh(x) - 15cosh(x) - 10%i cosh(x) +--R + +--R 2 +--R 6cosh(x) + 2%i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 145 + +--S 146 of 530 +t0529:= sinh(x)^2/(a+b*cosh(x)) +--R +--R +--R 2 +--R sinh(x) +--R (144) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 146 + +--S 147 of 530 +r0529:= (-a*x+2*(a^2-b^2)^(1/2)*_ + atanh((a-b)*(cosh(x)-1)/sinh(x)/(a^2-b^2)^(1/2))+b*sinh(x))/b^2 +--R +--R +--R +---------+ +--R | 2 2 (b - a)cosh(x) - b + a +--R - 2\|- b + a atanh(----------------------) + b sinh(x) - a x +--R +---------+ +--R | 2 2 +--R sinh(x)\|- b + a +--R (145) -------------------------------------------------------------- +--R 2 +--R b +--R Type: Expression Integer +--E 147 + +--S 148 of 530 +a0529:= integrate(t0529,x) +--R +--R +--R (146) +--R [ +--R +---------+ +--R | 2 2 +--R (2sinh(x) + 2cosh(x))\|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b +--R + +--R 2 +--R 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 2 2 +--R b sinh(x) + (2b cosh(x) - 2a x)sinh(x) + b cosh(x) - 2a x cosh(x) - b +--R / +--R 2 2 +--R 2b sinh(x) + 2b cosh(x) +--R , +--R +--R +-------+ +--R +-------+ | 2 2 +--R | 2 2 \|b - a +--R (4sinh(x) + 4cosh(x))\|b - a atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 2 2 +--R b sinh(x) + (2b cosh(x) - 2a x)sinh(x) + b cosh(x) - 2a x cosh(x) - b +--R / +--R 2 2 +--R 2b sinh(x) + 2b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 148 + +--S 149 of 530 +m0529a:= a0529.1-r0529 +--R +--R +--R (147) +--R +---------+ +--R | 2 2 +--R (2sinh(x) + 2cosh(x))\|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R +---------+ +--R | 2 2 (b - a)cosh(x) - b + a +--R (4sinh(x) + 4cosh(x))\|- b + a atanh(----------------------) +--R +---------+ +--R | 2 2 +--R sinh(x)\|- b + a +--R + +--R 2 2 +--R - b sinh(x) + b cosh(x) - b +--R / +--R 2 2 +--R 2b sinh(x) + 2b cosh(x) +--R Type: Expression Integer +--E 149 + +--S 150 of 530 +d0529a:= D(m0529a,x) +--R +--R +--R (148) +--R 3 2 6 3 2 3 2 2 5 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 4b + 2a b - 2a b)sinh(x) +--R + +--R 3 2 2 3 2 2 3 2 +--R (b - a b )cosh(x) + (10b + 4a b - 10a b)cosh(x) - b + 5a b +--R + +--R 2 3 +--R 4a b - 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 2 2 +--R - 4a b cosh(x) + (4b + 4a b - 12a b)cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (4a b + 8a b - 8a )cosh(x) + 4b + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 3 2 3 +--R (- b - a b )cosh(x) + (- 8b + 4a b)cosh(x) +--R + +--R 3 2 2 3 2 2 3 2 +--R (6b - 6a b )cosh(x) + (8b + 8a b - 12a b)cosh(x) - b + 3a b +--R + +--R 2 3 +--R 4a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 4 +--R (- 2b + 2a b )cosh(x) + (- 8b - 6a b + 14a b)cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 2 +--R (4b - 4a b - 8a b + 8a )cosh(x) + (8b + 4a b - 12a b)cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (- 2b + 2a b + 8a b - 8a )cosh(x) + 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- b + a b )cosh(x) + (- 2b - 4a b + 6a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 3 +--R (- b + a b - 4a b + 4a )cosh(x) + (4b - 4a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b - a b + 4a b - 4a )cosh(x) + (- 2b + 4a b - 2a b)cosh(x) + b +--R + +--R 2 +--R - a b +--R / +--R 4 3 5 4 3 3 2 2 4 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 4 3 2 4 3 2 2 4 3 +--R ((8b + 4a b )cosh(x) + (- 4b + 12a b + 8a b )cosh(x) + 4b )sinh(x) +--R + +--R 4 3 3 4 3 2 +--R (8b - 4a b )cosh(x) + (- 12b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 +--R (8b - 12a b + 8a b )cosh(x) + 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 4 4 3 2 2 3 +--R (6b - 6a b )cosh(x) + (- 12b + 20a b - 8a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (8b - 24a b + 16a b )cosh(x) + (- 4b + 12a b - 8a b )cosh(x) +--R + +--R 4 3 +--R 2b - 2a b +--R * +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 4 +--R (2b - 2a b )cosh(x) + (- 4b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 2 +--R (4b - 12a b + 8a b )cosh(x) + (- 4b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 +--R (2b - 2a b )cosh(x) +--R Type: Expression Integer +--E 150 + +--S 151 of 530 +m0529b:= a0529.2-r0529 +--R +--R +--R (149) +--R +---------+ +--R | 2 2 (b - a)cosh(x) - b + a +--R (4sinh(x) + 4cosh(x))\|- b + a atanh(----------------------) +--R +---------+ +--R | 2 2 +--R sinh(x)\|- b + a +--R + +--R +-------+ +--R +-------+ | 2 2 +--R | 2 2 \|b - a +--R (4sinh(x) + 4cosh(x))\|b - a atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 2 2 +--R - b sinh(x) + b cosh(x) - b +--R / +--R 2 2 +--R 2b sinh(x) + 2b cosh(x) +--R Type: Expression Integer +--E 151 + +--S 152 of 530 +d0529b:= D(m0529b,x) +--R +--R +--R (150) +--R 3 2 6 3 2 3 2 2 5 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 4b + 2a b - 2a b)sinh(x) +--R + +--R 3 2 2 3 2 2 3 2 +--R (b - a b )cosh(x) + (10b + 4a b - 10a b)cosh(x) - b + 5a b +--R + +--R 2 3 +--R 4a b - 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 2 2 +--R - 4a b cosh(x) + (4b + 4a b - 12a b)cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (4a b + 8a b - 8a )cosh(x) + 4b + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 3 2 3 +--R (- b - a b )cosh(x) + (- 8b + 4a b)cosh(x) +--R + +--R 3 2 2 3 2 2 3 2 +--R (6b - 6a b )cosh(x) + (8b + 8a b - 12a b)cosh(x) - b + 3a b +--R + +--R 2 3 +--R 4a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 4 +--R (- 2b + 2a b )cosh(x) + (- 8b - 6a b + 14a b)cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 2 +--R (4b - 4a b - 8a b + 8a )cosh(x) + (8b + 4a b - 12a b)cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (- 2b + 2a b + 8a b - 8a )cosh(x) + 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- b + a b )cosh(x) + (- 2b - 4a b + 6a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 3 +--R (- b + a b - 4a b + 4a )cosh(x) + (4b - 4a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b - a b + 4a b - 4a )cosh(x) + (- 2b + 4a b - 2a b)cosh(x) + b +--R + +--R 2 +--R - a b +--R / +--R 4 3 5 4 3 3 2 2 4 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 4 3 2 4 3 2 2 4 3 +--R ((8b + 4a b )cosh(x) + (- 4b + 12a b + 8a b )cosh(x) + 4b )sinh(x) +--R + +--R 4 3 3 4 3 2 +--R (8b - 4a b )cosh(x) + (- 12b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 +--R (8b - 12a b + 8a b )cosh(x) + 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 4 4 3 2 2 3 +--R (6b - 6a b )cosh(x) + (- 12b + 20a b - 8a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (8b - 24a b + 16a b )cosh(x) + (- 4b + 12a b - 8a b )cosh(x) +--R + +--R 4 3 +--R 2b - 2a b +--R * +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 4 +--R (2b - 2a b )cosh(x) + (- 4b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 2 +--R (4b - 12a b + 8a b )cosh(x) + (- 4b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 +--R (2b - 2a b )cosh(x) +--R Type: Expression Integer +--E 152 + +--S 153 of 530 +t0530:= sinh(x)^3/(a+b*cosh(x)) +--R +--R +--R 3 +--R sinh(x) +--R (151) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 153 + +--S 154 of 530 +r0530:= -a*cosh(x)/b^2+1/2*cosh(x)^2/b+(a^2-b^2)*log(a+b*cosh(x))/b^3 +--R +--R +--R 2 2 2 2 +--R (- 2b + 2a )log(b cosh(x) + a) + b cosh(x) - 2a b cosh(x) +--R (152) ----------------------------------------------------------- +--R 3 +--R 2b +--R Type: Expression Integer +--E 154 + +--S 155 of 530 +a0530:= integrate(t0530,x) +--R +--R +--R (153) +--R 2 2 2 2 2 +--R (- 8b + 8a )sinh(x) + (- 16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 8b + 8a )cosh(x) +--R * +--R - 2b cosh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 4 2 3 +--R b sinh(x) + (4b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (6b cosh(x) - 12a b cosh(x) + (8b - 8a )x)sinh(x) +--R + +--R 2 3 2 2 2 +--R (4b cosh(x) - 12a b cosh(x) + (16b - 16a )x cosh(x) - 4a b)sinh(x) +--R + +--R 2 4 3 2 2 2 2 +--R b cosh(x) - 4a b cosh(x) + (8b - 8a )x cosh(x) - 4a b cosh(x) + b +--R / +--R 3 2 3 3 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R Type: Union(Expression Integer,...) +--E 155 + +--S 156 of 530 +m0530:= a0530-r0530 +--R +--R +--R (154) +--R 2 2 2 2 2 +--R (8b - 8a )sinh(x) + (16b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (8b - 8a )cosh(x) +--R * +--R log(b cosh(x) + a) +--R + +--R 2 2 2 2 2 +--R (- 8b + 8a )sinh(x) + (- 16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 8b + 8a )cosh(x) +--R * +--R - 2b cosh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 4 2 3 +--R b sinh(x) + (4b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) - 4a b cosh(x) + (8b - 8a )x)sinh(x) +--R + +--R 2 3 2 2 2 +--R (- 4b cosh(x) + 4a b cosh(x) + (16b - 16a )x cosh(x) - 4a b)sinh(x) +--R + +--R 2 4 3 2 2 2 2 +--R - 3b cosh(x) + 4a b cosh(x) + (8b - 8a )x cosh(x) - 4a b cosh(x) + b +--R / +--R 3 2 3 3 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R Type: Expression Integer +--E 156 + +--S 157 of 530 +d0530:= D(m0530,x) +--R +--R +--R (155) +--R 4 3 2 2 +--R b sinh(x) + 2a sinh(x) + (- 2b cosh(x) + 2a cosh(x))sinh(x) +--R + +--R 2 4 3 +--R (- 2a cosh(x) + 2a)sinh(x) + b cosh(x) - 2a cosh(x) + 2a cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 4b sinh(x) + 8b cosh(x)sinh(x) + 4b cosh(x) +--R Type: Expression Integer +--E 157 + +--S 158 of 530 +t0531:= sinh(x)^4/(a+b*cosh(x)) +--R +--R +--R 4 +--R sinh(x) +--R (156) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 158 + +--S 159 of 530 +r0531:= -a^3*x/b^4+3/2*a*x/b^2+2*(a^2-b^2)^(3/2)*_ + atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b^4+a^2*sinh(x)/b^3-_ + sinh(x)/b-1/2*a*cosh(x)*sinh(x)/b^2+1/3*sinh(x)^3/b +--R +--R +--R (157) +--R x +--R +---------+ (b - a)tanh(-) +--R 2 2 | 2 2 2 3 3 +--R (12b - 12a )\|- b + a atanh(--------------) + 2b sinh(x) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 3 2 2 3 +--R (- 3a b cosh(x) - 6b + 6a b)sinh(x) + (9a b - 6a )x +--R / +--R 4 +--R 6b +--R Type: Expression Integer +--E 159 + +--S 160 of 530 +a0531:= integrate(t0531,x) +--R +--R +--R (158) +--R [ +--R 2 2 3 2 2 2 +--R (24b - 24a )sinh(x) + (72b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 72a )cosh(x) sinh(x) + (24b - 24a )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b +--R + +--R 2 +--R 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 3 6 3 2 5 +--R b sinh(x) + (6b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (15b cosh(x) - 15a b cosh(x) - 15b + 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R 20b cosh(x) - 30a b cosh(x) + (- 60b + 48a b)cosh(x) +--R + +--R 2 3 +--R (36a b - 24a )x +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 15b cosh(x) - 30a b cosh(x) + (- 90b + 72a b)cosh(x) +--R + +--R 2 3 3 2 +--R (108a b - 72a )x cosh(x) + 15b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 15a b cosh(x) + (- 60b + 48a b)cosh(x) +--R + +--R 2 3 2 3 2 2 +--R (108a b - 72a )x cosh(x) + (30b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (- 15b + 12a b)cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (36a b - 24a )x cosh(x) + (15b - 12a b)cosh(x) + 3a b cosh(x) - b +--R / +--R 4 3 4 2 4 2 4 3 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) +--R , +--R +--R 2 2 3 2 2 2 +--R (- 48b + 48a )sinh(x) + (- 144b + 144a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 144b + 144a )cosh(x) sinh(x) + (- 48b + 48a )cosh(x) +--R * +--R +-------+ +--R +-------+ | 2 2 +--R | 2 2 \|b - a +--R \|b - a atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 3 6 3 2 5 +--R b sinh(x) + (6b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (15b cosh(x) - 15a b cosh(x) - 15b + 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R 20b cosh(x) - 30a b cosh(x) + (- 60b + 48a b)cosh(x) +--R + +--R 2 3 +--R (36a b - 24a )x +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 15b cosh(x) - 30a b cosh(x) + (- 90b + 72a b)cosh(x) +--R + +--R 2 3 3 2 +--R (108a b - 72a )x cosh(x) + 15b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 15a b cosh(x) + (- 60b + 48a b)cosh(x) +--R + +--R 2 3 2 3 2 2 +--R (108a b - 72a )x cosh(x) + (30b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (- 15b + 12a b)cosh(x) +--R + +--R 2 3 3 3 2 2 2 3 +--R (36a b - 24a )x cosh(x) + (15b - 12a b)cosh(x) + 3a b cosh(x) - b +--R / +--R 4 3 4 2 4 2 4 3 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 160 + +--S 161 of 530 +m0531a:= a0531.1-r0531 +--R +--R +--R (159) +--R 2 2 3 2 2 2 +--R (24b - 24a )sinh(x) + (72b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 72a )cosh(x) sinh(x) + (24b - 24a )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 2 2 3 2 2 2 +--R (- 48b + 48a )sinh(x) + (- 144b + 144a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 144b + 144a )cosh(x) sinh(x) + (- 48b + 48a )cosh(x) +--R * +--R x +--R +---------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|- b + a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 6 3 2 5 +--R - 7b sinh(x) + (- 18b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (- 9b cosh(x) - 3a b cosh(x) + 9b - 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 3 +--R (12b cosh(x) + 6a b cosh(x) + (12b - 24a b)cosh(x))sinh(x) +--R + +--R 3 4 2 3 3 2 3 2 2 +--R (15b cosh(x) + 6a b cosh(x) - 18b cosh(x) + 15b - 12a b)sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 3a b cosh(x) + (- 36b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (30b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (- 15b + 12a b)cosh(x) +--R + +--R 3 2 2 2 3 +--R (15b - 12a b)cosh(x) + 3a b cosh(x) - b +--R / +--R 4 3 4 2 4 2 4 3 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) +--R Type: Expression Integer +--E 161 + +--S 162 of 530 +d0531a:= D(m0531a,x) +--R +--R +--R (160) +--R 4 3 8 3 2 2 7 +--R (b - a b )sinh(x) + (4a b - 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 12b + 12a b )cosh(x) + (4a b - 4a b )cosh(x) - 4b + 4a b +--R + +--R 2 2 3 +--R 8a b - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (- 24b + 24a b )cosh(x) + (- 20a b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (- 24b + 24a b + 24a b - 24a b)cosh(x) + 8b - 8a b - 8a b +--R + +--R 3 +--R 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (- 10b + 10a b )cosh(x) + (- 36a b + 36a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 44b + 44a b + 16a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (40b - 32a b - 48a b + 24a b + 16a )cosh(x) + 6b + 10a b +--R + +--R 2 2 3 4 +--R - 24a b - 8a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (16b - 16a b )cosh(x) + (- 4a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 24b + 24a b - 16a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (80b - 40a b - 120a b + 16a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (32b + 32a b - 104a b - 24a b + 64a )cosh(x) + 8b - 12a b +--R + +--R 2 2 3 +--R - 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (20b - 20a b )cosh(x) + (28a b - 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (12b - 12a b - 24a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (80b - 8a b - 152a b - 16a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (60b + 36a b - 168a b - 24a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (24b - 36a b - 12a b + 24a b)cosh(x) - 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 3 2 2 6 +--R (8b - 8a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (16b - 16a b - 8a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (40b + 16a b - 96a b - 24a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (48b + 16a b - 120a b - 8a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (24b - 36a b - 12a b + 24a b)cosh(x) + (- 8b + 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 3 2 2 7 4 3 6 +--R (b - a b )cosh(x) + (4a b - 4a b )cosh(x) + (4b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (8b + 8a b - 24a b - 8a b + 16a )cosh(x) +--R + +--R 4 3 2 2 4 4 +--R (14b + 2a b - 32a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 3 4 3 2 4 +--R (8b - 12a b - 4a b + 8a b)cosh(x) + (- 4b + 4a b )cosh(x) + b +--R + +--R 3 +--R - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 8 3 2 2 7 +--R (b + a b )sinh(x) + (4a b + 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 12b - 12a b )cosh(x) + (4a b + 4a b )cosh(x) - 4b - 4a b +--R + +--R 2 2 3 +--R 8a b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (- 24b - 24a b )cosh(x) + (- 20a b - 20a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 3 +--R (- 24b - 24a b + 24a b + 24a b)cosh(x) - 8b - 8a b + 8a b + 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (- 10b - 10a b )cosh(x) + (- 36a b - 36a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 44b - 44a b + 16a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (- 40b - 32a b + 48a b + 24a b - 16a )cosh(x) + 6b - 10a b +--R + +--R 2 2 3 4 +--R - 24a b + 8a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (16b + 16a b )cosh(x) + (- 4a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 24b - 24a b - 16a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 80b - 40a b + 120a b + 16a b - 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (32b - 32a b - 104a b + 24a b + 64a )cosh(x) - 8b - 12a b +--R + +--R 2 2 3 +--R 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (20b + 20a b )cosh(x) + (28a b + 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (12b + 12a b - 24a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 80b - 8a b + 152a b - 16a b - 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (60b - 36a b - 168a b + 24a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 24b - 36a b + 12a b + 24a b)cosh(x) - 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 3 2 2 6 +--R (8b + 8a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (16b + 16a b - 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 40b + 16a b + 96a b - 24a b - 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (48b - 16a b - 120a b + 8a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 24b - 36a b + 12a b + 24a b)cosh(x) + (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 3 2 2 7 4 3 6 +--R (b + a b )cosh(x) + (4a b + 4a b )cosh(x) + (4b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 8b + 8a b + 24a b - 8a b - 16a )cosh(x) +--R + +--R 4 3 2 2 4 4 +--R (14b - 2a b - 32a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 3 4 3 2 4 +--R (- 8b - 12a b + 4a b + 8a b)cosh(x) + (- 4b - 4a b )cosh(x) + b +--R + +--R 3 +--R a b +--R / +--R 5 4 5 +--R (8b - 8a b )sinh(x) +--R + +--R 5 4 4 2 3 4 +--R ((40b - 40a b )cosh(x) + 16a b - 16a b )sinh(x) +--R + +--R 5 4 2 4 2 3 5 4 +--R ((80b - 80a b )cosh(x) + (64a b - 64a b )cosh(x) + 8b - 8a b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (80b - 80a b )cosh(x) + (96a b - 96a b )cosh(x) +--R + +--R 5 4 +--R (24b - 24a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (40b - 40a b )cosh(x) + (64a b - 64a b )cosh(x) +--R + +--R 5 4 2 +--R (24b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (8b - 8a b )cosh(x) + (16a b - 16a b )cosh(x) +--R + +--R 5 4 3 +--R (8b - 8a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 5 +--R (8b + 8a b )sinh(x) +--R + +--R 5 4 4 2 3 4 +--R ((40b + 40a b )cosh(x) + 16a b + 16a b )sinh(x) +--R + +--R 5 4 2 4 2 3 5 4 +--R ((80b + 80a b )cosh(x) + (64a b + 64a b )cosh(x) + 8b + 8a b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (80b + 80a b )cosh(x) + (96a b + 96a b )cosh(x) +--R + +--R 5 4 +--R (24b + 24a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (40b + 40a b )cosh(x) + (64a b + 64a b )cosh(x) +--R + +--R 5 4 2 +--R (24b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 5 4 3 +--R (8b + 8a b )cosh(x) + (16a b + 16a b )cosh(x) + (8b + 8a b )cosh(x) +--R Type: Expression Integer +--E 162 + +--S 163 of 530 +m0531b:= a0531.2-r0531 +--R +--R +--R (161) +--R 2 2 3 2 2 2 +--R (- 48b + 48a )sinh(x) + (- 144b + 144a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 144b + 144a )cosh(x) sinh(x) + (- 48b + 48a )cosh(x) +--R * +--R x +--R +---------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|- b + a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 3 2 2 2 +--R (- 48b + 48a )sinh(x) + (- 144b + 144a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 144b + 144a )cosh(x) sinh(x) + (- 48b + 48a )cosh(x) +--R * +--R +-------+ +--R +-------+ | 2 2 +--R | 2 2 \|b - a +--R \|b - a atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 3 6 3 2 5 +--R - 7b sinh(x) + (- 18b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (- 9b cosh(x) - 3a b cosh(x) + 9b - 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 3 +--R (12b cosh(x) + 6a b cosh(x) + (12b - 24a b)cosh(x))sinh(x) +--R + +--R 3 4 2 3 3 2 3 2 2 +--R (15b cosh(x) + 6a b cosh(x) - 18b cosh(x) + 15b - 12a b)sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 3a b cosh(x) + (- 36b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (30b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (- 15b + 12a b)cosh(x) +--R + +--R 3 2 2 2 3 +--R (15b - 12a b)cosh(x) + 3a b cosh(x) - b +--R / +--R 4 3 4 2 4 2 4 3 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) +--R Type: Expression Integer +--E 163 + +--S 164 of 530 +d0531b:= D(m0531b,x) +--R +--R +--R (162) +--R 4 3 8 3 2 2 7 +--R (b - a b )sinh(x) + (4a b - 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 12b + 12a b )cosh(x) + (4a b - 4a b )cosh(x) - 4b + 4a b +--R + +--R 2 2 3 +--R 8a b - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (- 24b + 24a b )cosh(x) + (- 20a b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (- 24b + 24a b + 24a b - 24a b)cosh(x) + 8b - 8a b - 8a b +--R + +--R 3 +--R 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (- 10b + 10a b )cosh(x) + (- 36a b + 36a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 44b + 44a b + 16a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (40b - 32a b - 48a b + 24a b + 16a )cosh(x) + 6b + 10a b +--R + +--R 2 2 3 4 +--R - 24a b - 8a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (16b - 16a b )cosh(x) + (- 4a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 24b + 24a b - 16a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (80b - 40a b - 120a b + 16a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (32b + 32a b - 104a b - 24a b + 64a )cosh(x) + 8b - 12a b +--R + +--R 2 2 3 +--R - 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (20b - 20a b )cosh(x) + (28a b - 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (12b - 12a b - 24a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (80b - 8a b - 152a b - 16a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (60b + 36a b - 168a b - 24a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (24b - 36a b - 12a b + 24a b)cosh(x) - 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 3 2 2 6 +--R (8b - 8a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (16b - 16a b - 8a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (40b + 16a b - 96a b - 24a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (48b + 16a b - 120a b - 8a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (24b - 36a b - 12a b + 24a b)cosh(x) + (- 8b + 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 3 2 2 7 4 3 6 +--R (b - a b )cosh(x) + (4a b - 4a b )cosh(x) + (4b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (8b + 8a b - 24a b - 8a b + 16a )cosh(x) +--R + +--R 4 3 2 2 4 4 +--R (14b + 2a b - 32a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 3 4 3 2 4 +--R (8b - 12a b - 4a b + 8a b)cosh(x) + (- 4b + 4a b )cosh(x) + b +--R + +--R 3 +--R - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 8 3 2 2 7 +--R (b + a b )sinh(x) + (4a b + 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 12b - 12a b )cosh(x) + (4a b + 4a b )cosh(x) - 4b - 4a b +--R + +--R 2 2 3 +--R 8a b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (- 24b - 24a b )cosh(x) + (- 20a b - 20a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 3 +--R (- 24b - 24a b + 24a b + 24a b)cosh(x) - 8b - 8a b + 8a b + 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (- 10b - 10a b )cosh(x) + (- 36a b - 36a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 44b - 44a b + 16a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (- 40b - 32a b + 48a b + 24a b - 16a )cosh(x) + 6b - 10a b +--R + +--R 2 2 3 4 +--R - 24a b + 8a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (16b + 16a b )cosh(x) + (- 4a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 24b - 24a b - 16a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 80b - 40a b + 120a b + 16a b - 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (32b - 32a b - 104a b + 24a b + 64a )cosh(x) - 8b - 12a b +--R + +--R 2 2 3 +--R 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (20b + 20a b )cosh(x) + (28a b + 28a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (12b + 12a b - 24a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 80b - 8a b + 152a b - 16a b - 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (60b - 36a b - 168a b + 24a b + 96a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 24b - 36a b + 12a b + 24a b)cosh(x) - 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 3 2 2 6 +--R (8b + 8a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (16b + 16a b - 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 40b + 16a b + 96a b - 24a b - 64a )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (48b - 16a b - 120a b + 8a b + 64a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 24b - 36a b + 12a b + 24a b)cosh(x) + (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 3 2 2 7 4 3 6 +--R (b + a b )cosh(x) + (4a b + 4a b )cosh(x) + (4b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 8b + 8a b + 24a b - 8a b - 16a )cosh(x) +--R + +--R 4 3 2 2 4 4 +--R (14b - 2a b - 32a b + 16a )cosh(x) +--R + +--R 4 3 2 2 3 3 4 3 2 4 +--R (- 8b - 12a b + 4a b + 8a b)cosh(x) + (- 4b - 4a b )cosh(x) + b +--R + +--R 3 +--R a b +--R / +--R 5 4 5 +--R (8b - 8a b )sinh(x) +--R + +--R 5 4 4 2 3 4 +--R ((40b - 40a b )cosh(x) + 16a b - 16a b )sinh(x) +--R + +--R 5 4 2 4 2 3 5 4 +--R ((80b - 80a b )cosh(x) + (64a b - 64a b )cosh(x) + 8b - 8a b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (80b - 80a b )cosh(x) + (96a b - 96a b )cosh(x) +--R + +--R 5 4 +--R (24b - 24a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (40b - 40a b )cosh(x) + (64a b - 64a b )cosh(x) +--R + +--R 5 4 2 +--R (24b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (8b - 8a b )cosh(x) + (16a b - 16a b )cosh(x) +--R + +--R 5 4 3 +--R (8b - 8a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 5 +--R (8b + 8a b )sinh(x) +--R + +--R 5 4 4 2 3 4 +--R ((40b + 40a b )cosh(x) + 16a b + 16a b )sinh(x) +--R + +--R 5 4 2 4 2 3 5 4 +--R ((80b + 80a b )cosh(x) + (64a b + 64a b )cosh(x) + 8b + 8a b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (80b + 80a b )cosh(x) + (96a b + 96a b )cosh(x) +--R + +--R 5 4 +--R (24b + 24a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (40b + 40a b )cosh(x) + (64a b + 64a b )cosh(x) +--R + +--R 5 4 2 +--R (24b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 5 4 3 +--R (8b + 8a b )cosh(x) + (16a b + 16a b )cosh(x) + (8b + 8a b )cosh(x) +--R Type: Expression Integer +--E 164 + +--S 165 of 530 +t0532:= sinh(x)^2/(a+a*cosh(x)) +--R +--R +--R 2 +--R sinh(x) +--R (163) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 165 + +--S 166 of 530 +r0532:= (-x+sinh(x))/a +--R +--R +--R sinh(x) - x +--R (164) ----------- +--R a +--R Type: Expression Integer +--E 166 + +--S 167 of 530 +a0532:= integrate(t0532,x) +--R +--R +--R sinh(x) - x +--R (165) ----------- +--R a +--R Type: Union(Expression Integer,...) +--E 167 + +--S 168 of 530 +m0532:= a0532-r0532 +--R +--R +--R (166) 0 +--R Type: Expression Integer +--E 168 + +--S 169 of 530 +d0532:= D(m0532,x) +--R +--R +--R (167) 0 +--R Type: Expression Integer +--E 169 + +--S 170 of 530 +t0533:= sinh(x)^3/(a+a*cosh(x)) +--R +--R +--R 3 +--R sinh(x) +--R (168) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 170 + +--S 171 of 530 +r0533:= 1/2*cosh(x)*(cosh(x)-2)/a +--R +--R +--R 2 +--R cosh(x) - 2cosh(x) +--R (169) ------------------- +--R 2a +--R Type: Expression Integer +--E 171 + +--S 172 of 530 +a0533:= integrate(t0533,x) +--R +--R +--R 2 2 +--R sinh(x) + cosh(x) - 4cosh(x) +--R (170) ------------------------------ +--R 4a +--R Type: Union(Expression Integer,...) +--E 172 + +--S 173 of 530 +m0533:= a0533-r0533 +--R +--R +--R 2 2 +--R sinh(x) - cosh(x) +--R (171) ------------------- +--R 4a +--R Type: Expression Integer +--E 173 + +--S 174 of 530 +d0533:= D(m0533,x) +--R +--R +--R (172) 0 +--R Type: Expression Integer +--E 174 + +--S 175 of 530 +t0534:= sinh(x)^4/(a+a*cosh(x)) +--R +--R +--R 4 +--R sinh(x) +--R (173) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 175 + +--S 176 of 530 +r0534:= 1/6/a*(-3*cosh(x)*sinh(x)-2*sinh(x)+2*sinh(x)*cosh(x)^2+3*x) +--R +--R +--R 2 +--R (2cosh(x) - 3cosh(x) - 2)sinh(x) + 3x +--R (174) -------------------------------------- +--R 6a +--R Type: Expression Integer +--E 176 + +--S 177 of 530 +a0534:= integrate(t0534,x) +--R +--R +--R 3 2 +--R sinh(x) + (3cosh(x) - 6cosh(x) - 3)sinh(x) + 6x +--R (175) ------------------------------------------------- +--R 12a +--R Type: Union(Expression Integer,...) +--E 177 + +--S 178 of 530 +m0534:= a0534-r0534 +--R +--R +--R 3 2 +--R sinh(x) + (- cosh(x) + 1)sinh(x) +--R (176) ---------------------------------- +--R 12a +--R Type: Expression Integer +--E 178 + +--S 179 of 530 +d0534:= D(m0534,x) +--R +--R +--R 2 3 +--R cosh(x)sinh(x) - cosh(x) + cosh(x) +--R (177) ------------------------------------ +--R 12a +--R Type: Expression Integer +--E 179 + +--S 180 of 530 +t0535:= cosh(x)/(a+b*cosh(x)) +--R +--R +--R cosh(x) +--R (178) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 180 + +--S 181 of 530 +r0535:= x/b-2*a*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(1/2) +--R +--R +--R x +--R (b - a)tanh(-) +---------+ +--R 2 | 2 2 +--R 2a atanh(--------------) + x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (179) ---------------------------------------- +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R Type: Expression Integer +--E 181 + +--S 182 of 530 +a0535:= integrate(t0535,x) +--R +--R +--R (180) +--R [ +--R a +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R +---------+ +--R | 2 2 +--R x\|- b + a +--R / +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R , +--R +-------+ +--R | 2 2 +-------+ +--R (b sinh(x) + b cosh(x) + a)\|b - a | 2 2 +--R - 2a atan(-------------------------------------) + x\|b - a +--R 2 2 +--R b - a +--R --------------------------------------------------------------] +--R +-------+ +--R | 2 2 +--R b\|b - a +--R Type: Union(List Expression Integer,...) +--E 182 + +--S 183 of 530 +m0535a:= a0535.1-r0535 +--R +--R +--R (181) +--R a +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R x +--R (b - a)tanh(-) +--R 2 +--R - 2a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R Type: Expression Integer +--E 183 + +--S 184 of 530 +d0535a:= D(m0535a,x) +--R +--R +--R (182) +--R 2 2 +--R - a sinh(x) + (- 2a cosh(x) - 2a)sinh(x) - a cosh(x) - 2a cosh(x) +--R + +--R - a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 +--R a sinh(x) + (2a cosh(x) - 2a)sinh(x) + a cosh(x) - 2a cosh(x) + a +--R / +--R 2 2 2 2 +--R (b - a b)sinh(x) + ((2b - 2a b)cosh(x) + 2a b - 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (b - a b)cosh(x) + (2a b - 2a )cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 +--R (b + a b)sinh(x) + ((2b + 2a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (b + a b)cosh(x) + (2a b + 2a )cosh(x) + b + a b +--R Type: Expression Integer +--E 184 + +--S 185 of 530 +m0535b:= a0535.2-r0535 +--R +--R +--R (183) +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R - 2a\|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R - 2a\|- b + a atan(-------------------------------------) +--R 2 2 +--R b - a +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R b\|- b + a \|b - a +--R Type: Expression Integer +--E 185 + +--S 186 of 530 +d0535b:= D(m0535b,x) +--R +--R +--R (184) +--R 2 2 +--R - a sinh(x) + (- 2a cosh(x) - 2a)sinh(x) - a cosh(x) - 2a cosh(x) +--R + +--R - a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 +--R a sinh(x) + (2a cosh(x) - 2a)sinh(x) + a cosh(x) - 2a cosh(x) + a +--R / +--R 2 2 2 2 +--R (b - a b)sinh(x) + ((2b - 2a b)cosh(x) + 2a b - 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (b - a b)cosh(x) + (2a b - 2a )cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 +--R (b + a b)sinh(x) + ((2b + 2a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (b + a b)cosh(x) + (2a b + 2a )cosh(x) + b + a b +--R Type: Expression Integer +--E 186 + +--S 187 of 530 +t0536:= cosh(x)^2/(a+b*cosh(x)) +--R +--R +--R 2 +--R cosh(x) +--R (185) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 187 + +--S 188 of 530 +r0536:= -a*x/b^2+2*a^2*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/_ + b^2/(a^2-b^2)^(1/2)+sinh(x)/b +--R +--R +--R x +--R (b - a)tanh(-) +---------+ +--R 2 2 | 2 2 +--R - 2a atanh(--------------) + (b sinh(x) - a x)\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (186) ---------------------------------------------------------- +--R +---------+ +--R 2 | 2 2 +--R b \|- b + a +--R Type: Expression Integer +--E 188 + +--S 189 of 530 +a0536:= integrate(t0536,x) +--R +--R +--R (187) +--R [ +--R 2 2 +--R (2a sinh(x) + 2a cosh(x)) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 2 2 +--R b sinh(x) + (2b cosh(x) - 2a x)sinh(x) + b cosh(x) - 2a x cosh(x) +--R + +--R - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 2 2 | 2 2 +--R (2b sinh(x) + 2b cosh(x))\|- b + a +--R , +--R +--R +-------+ +--R | 2 2 +--R 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R (4a sinh(x) + 4a cosh(x))atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 2 +--R b sinh(x) + (2b cosh(x) - 2a x)sinh(x) + b cosh(x) - 2a x cosh(x) +--R + +--R - b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R +-------+ +--R 2 2 | 2 2 +--R (2b sinh(x) + 2b cosh(x))\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 189 + +--S 190 of 530 +m0536a:= a0536.1-r0536 +--R +--R +--R (188) +--R 2 2 +--R (2a sinh(x) + 2a cosh(x)) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R x +--R (b - a)tanh(-) +--R 2 2 2 +--R (4a sinh(x) + 4a cosh(x))atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (- b sinh(x) + b cosh(x) - b)\|- b + a +--R / +--R +---------+ +--R 2 2 | 2 2 +--R (2b sinh(x) + 2b cosh(x))\|- b + a +--R Type: Expression Integer +--E 190 + +--S 191 of 530 +d0536a:= D(m0536a,x) +--R +--R +--R (189) +--R 2 4 2 3 +--R (b - a b)sinh(x) + ((2b - 2a b)cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R ((2a b + 4a )cosh(x) + 2b - 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R (- 2b + 2a b)cosh(x) + (- 2a b + 8a )cosh(x) +--R + +--R 2 2 +--R (2b - 2a b + 8a )cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R (- b + a b)cosh(x) + (- 2a b + 4a )cosh(x) + 4a cosh(x) +--R + +--R 2 +--R 2a b cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 4 2 3 +--R (b + a b)sinh(x) + ((2b + 2a b)cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R ((2a b - 4a )cosh(x) + 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R (- 2b - 2a b)cosh(x) + (- 2a b - 8a )cosh(x) +--R + +--R 2 2 +--R (2b + 2a b + 8a )cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R (- b - a b)cosh(x) + (- 2a b - 4a )cosh(x) + 4a cosh(x) +--R + +--R 2 +--R 2a b cosh(x) + b + a b +--R / +--R 3 2 3 3 2 2 2 2 +--R (2b - 2a b )sinh(x) + ((6b - 6a b )cosh(x) + 4a b - 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 +--R ((6b - 6a b )cosh(x) + (8a b - 8a b)cosh(x) + 2b - 2a b )sinh(x) +--R + +--R 3 2 3 2 2 2 3 2 +--R (2b - 2a b )cosh(x) + (4a b - 4a b)cosh(x) + (2b - 2a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 3 3 2 2 2 2 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 +--R ((6b + 6a b )cosh(x) + (8a b + 8a b)cosh(x) + 2b + 2a b )sinh(x) +--R + +--R 3 2 3 2 2 2 3 2 +--R (2b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) + (2b + 2a b )cosh(x) +--R Type: Expression Integer +--E 191 + +--S 192 of 530 +m0536b:= a0536.2-r0536 +--R +--R +--R (190) +--R x +--R +-------+ (b - a)tanh(-) +--R 2 2 | 2 2 2 +--R (4a sinh(x) + 4a cosh(x))\|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (4a sinh(x) + 4a cosh(x))\|- b + a +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R +---------+ +-------+ +--R 2 2 | 2 2 | 2 2 +--R (- b sinh(x) + b cosh(x) - b)\|- b + a \|b - a +--R / +--R +---------+ +-------+ +--R 2 2 | 2 2 | 2 2 +--R (2b sinh(x) + 2b cosh(x))\|- b + a \|b - a +--R Type: Expression Integer +--E 192 + +--S 193 of 530 +d0536b:= D(m0536b,x) +--R +--R +--R (191) +--R 2 4 2 3 +--R (b - a b)sinh(x) + ((2b - 2a b)cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R ((2a b + 4a )cosh(x) + 2b - 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R (- 2b + 2a b)cosh(x) + (- 2a b + 8a )cosh(x) +--R + +--R 2 2 +--R (2b - 2a b + 8a )cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R (- b + a b)cosh(x) + (- 2a b + 4a )cosh(x) + 4a cosh(x) +--R + +--R 2 +--R 2a b cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 4 2 3 +--R (b + a b)sinh(x) + ((2b + 2a b)cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R ((2a b - 4a )cosh(x) + 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R (- 2b - 2a b)cosh(x) + (- 2a b - 8a )cosh(x) +--R + +--R 2 2 +--R (2b + 2a b + 8a )cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R (- b - a b)cosh(x) + (- 2a b - 4a )cosh(x) + 4a cosh(x) +--R + +--R 2 +--R 2a b cosh(x) + b + a b +--R / +--R 3 2 3 3 2 2 2 2 +--R (2b - 2a b )sinh(x) + ((6b - 6a b )cosh(x) + 4a b - 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 +--R ((6b - 6a b )cosh(x) + (8a b - 8a b)cosh(x) + 2b - 2a b )sinh(x) +--R + +--R 3 2 3 2 2 2 3 2 +--R (2b - 2a b )cosh(x) + (4a b - 4a b)cosh(x) + (2b - 2a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 3 3 2 2 2 2 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 +--R ((6b + 6a b )cosh(x) + (8a b + 8a b)cosh(x) + 2b + 2a b )sinh(x) +--R + +--R 3 2 3 2 2 2 3 2 +--R (2b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) + (2b + 2a b )cosh(x) +--R Type: Expression Integer +--E 193 + +--S 194 of 530 +t0537:= cosh(x)^3/(a+b*cosh(x)) +--R +--R +--R 3 +--R cosh(x) +--R (192) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 194 + +--S 195 of 530 +r0537:= a^2*x/b^3+1/2*x/b-2*a^3*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/_ + b^3/(a^2-b^2)^(1/2)-a*sinh(x)/b^2+1/2*cosh(x)*sinh(x)/b +--R +--R +--R (193) +--R x +--R (b - a)tanh(-) +--R 3 2 +--R 4a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 2 | 2 2 +--R ((b cosh(x) - 2a b)sinh(x) + (b + 2a )x)\|- b + a +--R / +--R +---------+ +--R 3 | 2 2 +--R 2b \|- b + a +--R Type: Expression Integer +--E 195 + +--S 196 of 530 +a0537:= integrate(t0537,x) +--R +--R +--R (194) +--R [ +--R 3 2 3 3 2 +--R (8a sinh(x) + 16a cosh(x)sinh(x) + 8a cosh(x) ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 2 4 2 3 +--R b sinh(x) + (4b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (6b cosh(x) - 12a b cosh(x) + (4b + 8a )x)sinh(x) +--R + +--R 2 3 2 2 2 +--R (4b cosh(x) - 12a b cosh(x) + (8b + 16a )x cosh(x) + 4a b) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 +--R b cosh(x) - 4a b cosh(x) + (4b + 8a )x cosh(x) + 4a b cosh(x) +--R + +--R 2 +--R - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 3 3 2 | 2 2 +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|- b + a +--R , +--R +--R 3 2 3 3 2 +--R (- 16a sinh(x) - 32a cosh(x)sinh(x) - 16a cosh(x) ) +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + (4b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (6b cosh(x) - 12a b cosh(x) + (4b + 8a )x)sinh(x) +--R + +--R 2 3 2 2 2 +--R (4b cosh(x) - 12a b cosh(x) + (8b + 16a )x cosh(x) + 4a b) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 +--R b cosh(x) - 4a b cosh(x) + (4b + 8a )x cosh(x) + 4a b cosh(x) +--R + +--R 2 +--R - b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R +-------+ +--R 3 2 3 3 2 | 2 2 +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 196 + +--S 197 of 530 +m0537a:= a0537.1-r0537 +--R +--R +--R (195) +--R 3 2 3 3 2 +--R (8a sinh(x) + 16a cosh(x)sinh(x) + 8a cosh(x) ) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R x +--R (b - a)tanh(-) +--R 3 2 3 3 2 2 +--R (- 16a sinh(x) - 32a cosh(x)sinh(x) - 16a cosh(x) )atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 4 3 2 2 2 +--R b sinh(x) + 4a b sinh(x) + (- 2b cosh(x) + 4a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 +--R (- 4a b cosh(x) + 4a b)sinh(x) + b cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R 4a b cosh(x) - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 3 3 2 | 2 2 +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|- b + a +--R Type: Expression Integer +--E 197 + +--S 198 of 530 +d0537a:= D(m0537a,x) +--R +--R +--R (196) +--R 3 2 6 +--R (- b + a b )sinh(x) +--R + +--R 3 2 2 2 5 +--R ((- 2b + 2a b )cosh(x) - 4a b + 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 2 +--R ((b - a b )cosh(x) + (- 8a b + 8a b)cosh(x) - b + a b - 4a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 2 +--R (4b - 4a b )cosh(x) + (- 8a b - 8a )cosh(x) - 4a b + 4a b +--R + +--R 3 +--R - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 2 3 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 3 2 3 2 2 2 3 +--R (2b - 2a b - 24a )cosh(x) + (- 8a b + 8a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R b - a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 2 4 +--R (- 2b + 2a b )cosh(x) + (4a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (8a b - 24a )cosh(x) + (- 4a b + 4a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R (2b - 2a b - 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 4 +--R (- b + a b )cosh(x) + (- b + a b + 4a b - 8a )cosh(x) +--R + +--R 3 3 3 2 2 2 3 2 +--R - 8a cosh(x) + (b - a b - 4a b)cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 6 3 2 2 2 5 +--R (- b - a b )sinh(x) + ((- 2b - 2a b )cosh(x) - 4a b - 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 2 +--R ((b + a b )cosh(x) + (- 8a b - 8a b)cosh(x) - b - a b - 4a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 2 3 +--R ((4b + 4a b )cosh(x) + (- 8a b + 8a )cosh(x) - 4a b - 4a b - 8a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 2 3 +--R (b + a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 3 2 3 2 2 2 3 3 +--R (2b + 2a b + 24a )cosh(x) + (- 8a b - 8a b - 24a )cosh(x) + b +--R + +--R 2 2 +--R a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 2 4 +--R (- 2b - 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (8a b + 24a )cosh(x) + (- 4a b - 4a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R (2b + 2a b - 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 4 3 3 +--R (- b - a b )cosh(x) + (- b - a b + 4a b + 8a )cosh(x) - 8a cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (b + a b - 4a b)cosh(x) + b + a b +--R / +--R 4 3 4 +--R (4b - 4a b )sinh(x) +--R + +--R 4 3 3 2 2 3 +--R ((16b - 16a b )cosh(x) + 8a b - 8a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R ((24b - 24a b )cosh(x) + (24a b - 24a b )cosh(x) + 4b - 4a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (16b - 16a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 4 3 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 4 3 2 +--R (4b - 4a b )cosh(x) + (8a b - 8a b )cosh(x) + (4b - 4a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 4 4 3 3 2 2 3 +--R (4b + 4a b )sinh(x) + ((16b + 16a b )cosh(x) + 8a b + 8a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R ((24b + 24a b )cosh(x) + (24a b + 24a b )cosh(x) + 4b + 4a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (16b + 16a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 4 3 +--R (8b + 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 4 3 2 +--R (4b + 4a b )cosh(x) + (8a b + 8a b )cosh(x) + (4b + 4a b )cosh(x) +--R Type: Expression Integer +--E 198 + +--S 199 of 530 +m0537b:= a0537.2-r0537 +--R +--R +--R (197) +--R +-------+ +--R 3 2 3 3 2 | 2 2 +--R (- 16a sinh(x) - 32a cosh(x)sinh(x) - 16a cosh(x) )\|b - a +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 3 2 3 3 2 | 2 2 +--R (- 16a sinh(x) - 32a cosh(x)sinh(x) - 16a cosh(x) )\|- b + a +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 4 3 2 2 2 +--R b sinh(x) + 4a b sinh(x) + (- 2b cosh(x) + 4a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 +--R (- 4a b cosh(x) + 4a b)sinh(x) + b cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R 4a b cosh(x) - b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R +---------+ +-------+ +--R 3 2 3 3 2 | 2 2 | 2 2 +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|- b + a \|b - a +--R Type: Expression Integer +--E 199 + +--S 200 of 530 +d0537b:= D(m0537b,x) +--R +--R +--R (198) +--R 3 2 6 +--R (- b + a b )sinh(x) +--R + +--R 3 2 2 2 5 +--R ((- 2b + 2a b )cosh(x) - 4a b + 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 2 +--R ((b - a b )cosh(x) + (- 8a b + 8a b)cosh(x) - b + a b - 4a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 2 +--R (4b - 4a b )cosh(x) + (- 8a b - 8a )cosh(x) - 4a b + 4a b +--R + +--R 3 +--R - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 2 3 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 3 2 3 2 2 2 3 +--R (2b - 2a b - 24a )cosh(x) + (- 8a b + 8a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R b - a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 2 4 +--R (- 2b + 2a b )cosh(x) + (4a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (8a b - 24a )cosh(x) + (- 4a b + 4a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R (2b - 2a b - 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 4 +--R (- b + a b )cosh(x) + (- b + a b + 4a b - 8a )cosh(x) +--R + +--R 3 3 3 2 2 2 3 2 +--R - 8a cosh(x) + (b - a b - 4a b)cosh(x) + b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 6 3 2 2 2 5 +--R (- b - a b )sinh(x) + ((- 2b - 2a b )cosh(x) - 4a b - 4a b)sinh(x) +--R + +--R 3 2 2 2 2 3 2 2 +--R ((b + a b )cosh(x) + (- 8a b - 8a b)cosh(x) - b - a b - 4a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 2 3 +--R ((4b + 4a b )cosh(x) + (- 8a b + 8a )cosh(x) - 4a b - 4a b - 8a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 2 3 +--R (b + a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 3 2 3 2 2 2 3 3 +--R (2b + 2a b + 24a )cosh(x) + (- 8a b - 8a b - 24a )cosh(x) + b +--R + +--R 2 2 +--R a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 2 4 +--R (- 2b - 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (8a b + 24a )cosh(x) + (- 4a b - 4a b - 24a )cosh(x) +--R + +--R 3 2 2 +--R (2b + 2a b - 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 4 3 3 +--R (- b - a b )cosh(x) + (- b - a b + 4a b + 8a )cosh(x) - 8a cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (b + a b - 4a b)cosh(x) + b + a b +--R / +--R 4 3 4 +--R (4b - 4a b )sinh(x) +--R + +--R 4 3 3 2 2 3 +--R ((16b - 16a b )cosh(x) + 8a b - 8a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R ((24b - 24a b )cosh(x) + (24a b - 24a b )cosh(x) + 4b - 4a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (16b - 16a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 4 3 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 4 3 2 +--R (4b - 4a b )cosh(x) + (8a b - 8a b )cosh(x) + (4b - 4a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 4 4 3 3 2 2 3 +--R (4b + 4a b )sinh(x) + ((16b + 16a b )cosh(x) + 8a b + 8a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R ((24b + 24a b )cosh(x) + (24a b + 24a b )cosh(x) + 4b + 4a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 3 3 2 2 2 +--R (16b + 16a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 4 3 +--R (8b + 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 4 3 2 +--R (4b + 4a b )cosh(x) + (8a b + 8a b )cosh(x) + (4b + 4a b )cosh(x) +--R Type: Expression Integer +--E 200 + +--S 201 of 530 +t0538:= cosh(x)^4/(a+b*cosh(x)) +--R +--R +--R 4 +--R cosh(x) +--R (199) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 201 + +--S 202 of 530 +r0538:= -a^3*x/b^4-1/2*a*x/b^2+_ + 2*a^4*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b^4/(a^2-b^2)^(1/2)+_ + a^2*sinh(x)/b^3+sinh(x)/b-1/2*a*cosh(x)*sinh(x)/b^2+1/3*sinh(x)^3/b +--R +--R +--R (200) +--R x +--R (b - a)tanh(-) +--R 4 2 +--R - 12a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 3 2 3 2 2 3 +--R (2b sinh(x) + (- 3a b cosh(x) + 6b + 6a b)sinh(x) + (- 3a b - 6a )x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 4 | 2 2 +--R 6b \|- b + a +--R Type: Expression Integer +--E 202 + +--S 203 of 530 +a0538:= integrate(t0538,x) +--R +--R +--R (201) +--R [ +--R 4 3 4 2 4 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 4 3 +--R 24a cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 3 6 3 2 5 +--R b sinh(x) + (6b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (15b cosh(x) - 15a b cosh(x) + 9b + 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R 20b cosh(x) - 30a b cosh(x) + (36b + 48a b)cosh(x) +--R + +--R 2 3 +--R (- 12a b - 24a )x +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 15b cosh(x) - 30a b cosh(x) + (54b + 72a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 36a b - 72a )x cosh(x) - 9b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 15a b cosh(x) + (36b + 48a b)cosh(x) +--R + +--R 2 3 2 3 2 2 +--R (- 36a b - 72a )x cosh(x) + (- 18b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (9b + 12a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (- 12a b - 24a )x cosh(x) + (- 9b - 12a b)cosh(x) +--R + +--R 2 3 +--R 3a b cosh(x) - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 4 3 4 2 4 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 4 3 +--R 24b cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 4 3 4 2 4 2 +--R 48a sinh(x) + 144a cosh(x)sinh(x) + 144a cosh(x) sinh(x) +--R + +--R 4 3 +--R 48a cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 3 6 3 2 5 +--R b sinh(x) + (6b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (15b cosh(x) - 15a b cosh(x) + 9b + 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 +--R 20b cosh(x) - 30a b cosh(x) + (36b + 48a b)cosh(x) +--R + +--R 2 3 +--R (- 12a b - 24a )x +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 15b cosh(x) - 30a b cosh(x) + (54b + 72a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 36a b - 72a )x cosh(x) - 9b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 15a b cosh(x) + (36b + 48a b)cosh(x) +--R + +--R 2 3 2 3 2 2 +--R (- 36a b - 72a )x cosh(x) + (- 18b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (9b + 12a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (- 12a b - 24a )x cosh(x) + (- 9b - 12a b)cosh(x) +--R + +--R 2 3 +--R 3a b cosh(x) - b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 4 3 4 2 4 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 4 3 +--R 24b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 203 + +--S 204 of 530 +m0538:= a0538.1-r0538 +--R +--R +--R (202) +--R 4 3 4 2 4 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 4 3 +--R 24a cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 4 3 4 2 4 2 +--R 48a sinh(x) + 144a cosh(x)sinh(x) + 144a cosh(x) sinh(x) +--R + +--R 4 3 +--R 48a cosh(x) +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 6 3 2 5 +--R - 7b sinh(x) + (- 18b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (- 9b cosh(x) - 3a b cosh(x) - 15b - 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 3 +--R (12b cosh(x) + 6a b cosh(x) + (- 36b - 24a b)cosh(x))sinh(x) +--R + +--R 3 4 2 3 3 2 3 2 2 +--R (15b cosh(x) + 6a b cosh(x) - 18b cosh(x) - 9b - 12a b)sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 3a b cosh(x) + (12b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (- 18b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (9b + 12a b)cosh(x) +--R + +--R 3 2 2 2 3 +--R (- 9b - 12a b)cosh(x) + 3a b cosh(x) - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 4 3 4 2 4 2 4 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 204 + +--S 205 of 530 +d0538:= D(m0538a,x) +--R +--R +--R (203) 0 +--R Type: Polynomial Integer +--E 205 + +--S 206 of 530 +m0538:= a0538.2-r0538 +--R +--R +--R (204) +--R 4 3 4 2 4 2 +--R 48a sinh(x) + 144a cosh(x)sinh(x) + 144a cosh(x) sinh(x) +--R + +--R 4 3 +--R 48a cosh(x) +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 3 4 2 4 2 +--R 48a sinh(x) + 144a cosh(x)sinh(x) + 144a cosh(x) sinh(x) +--R + +--R 4 3 +--R 48a cosh(x) +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R \|- b + a atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 3 6 3 2 5 +--R - 7b sinh(x) + (- 18b cosh(x) - 3a b )sinh(x) +--R + +--R 3 2 2 3 2 4 +--R (- 9b cosh(x) - 3a b cosh(x) - 15b - 12a b)sinh(x) +--R + +--R 3 3 2 2 3 2 3 +--R (12b cosh(x) + 6a b cosh(x) + (- 36b - 24a b)cosh(x))sinh(x) +--R + +--R 3 4 2 3 3 2 3 2 2 +--R (15b cosh(x) + 6a b cosh(x) - 18b cosh(x) - 9b - 12a b)sinh(x) +--R + +--R 3 5 2 4 3 2 3 +--R 6b cosh(x) - 3a b cosh(x) + (12b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (- 18b - 24a b)cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 4 +--R b cosh(x) - 3a b cosh(x) + (9b + 12a b)cosh(x) +--R + +--R 3 2 2 2 3 +--R (- 9b - 12a b)cosh(x) + 3a b cosh(x) - b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 4 3 4 2 4 2 4 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 206 + +--S 207 of 530 +d0538:= D(m0538b,x) +--R +--R +--R (205) 0 +--R Type: Polynomial Integer +--E 207 + +--S 208 of 530 +t0539:= cosh(x)/(a+a*cosh(x)) +--R +--R +--R cosh(x) +--R (206) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 208 + +--S 209 of 530 +r0539:= x/a-sinh(x)/a/(1+cosh(x)) +--R +--R +--R - sinh(x) + x cosh(x) + x +--R (207) ------------------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 209 + +--S 210 of 530 +a0539:= integrate(t0539,x) +--R +--R +--R x sinh(x) + x cosh(x) + x + 2 +--R (208) ----------------------------- +--R a sinh(x) + a cosh(x) + a +--R Type: Union(Expression Integer,...) +--E 210 + +--S 211 of 530 +m0539:= a0539-r0539 +--R +--R +--R 2 +--R sinh(x) + (cosh(x) + 1)sinh(x) + 2cosh(x) + 2 +--R (209) ---------------------------------------------------- +--R 2 +--R (a cosh(x) + a)sinh(x) + a cosh(x) + 2a cosh(x) + a +--R Type: Expression Integer +--E 211 + +--S 212 of 530 +d0539:= D(m0539,x) +--R +--R +--R (210) +--R 4 3 2 +--R - sinh(x) + (- 2cosh(x) - 2)sinh(x) + (- cosh(x) - 1)sinh(x) +--R + +--R 3 2 4 3 +--R (2cosh(x) + 2cosh(x) - 2cosh(x) - 2)sinh(x) + cosh(x) + cosh(x) +--R + +--R 2 +--R - cosh(x) - cosh(x) +--R / +--R 2 2 +--R (a cosh(x) + 2a cosh(x) + a)sinh(x) +--R + +--R 3 2 4 +--R (2a cosh(x) + 6a cosh(x) + 6a cosh(x) + 2a)sinh(x) + a cosh(x) +--R + +--R 3 2 +--R 4a cosh(x) + 6a cosh(x) + 4a cosh(x) + a +--R Type: Expression Integer +--E 212 + +--S 213 of 530 +t0540:= cosh(x)^2/(a+a*cosh(x)) +--R +--R +--R 2 +--R cosh(x) +--R (211) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 213 + +--S 214 of 530 +r0540:= -x/a+sinh(x)/a+sinh(x)/a/(1+cosh(x)) +--R +--R +--R (cosh(x) + 2)sinh(x) - x cosh(x) - x +--R (212) ------------------------------------ +--R a cosh(x) + a +--R Type: Expression Integer +--E 214 + +--S 215 of 530 +a0540:= integrate(t0540,x) +--R +--R +--R (213) +--R 2 2 +--R sinh(x) + (2cosh(x) - 2x + 2)sinh(x) + cosh(x) - 2x cosh(x) - 2x - 5 +--R ---------------------------------------------------------------------- +--R 2a sinh(x) + 2a cosh(x) + 2a +--R Type: Union(Expression Integer,...) +--E 215 + +--S 216 of 530 +m0540:= a0540-r0540 +--R +--R +--R (214) +--R 2 3 2 +--R (- cosh(x) - 3)sinh(x) + (- 2cosh(x) - 2)sinh(x) + cosh(x) + cosh(x) +--R + +--R - 5cosh(x) - 5 +--R / +--R 2 +--R (2a cosh(x) + 2a)sinh(x) + 2a cosh(x) + 4a cosh(x) + 2a +--R Type: Expression Integer +--E 216 + +--S 217 of 530 +d0540:= D(m0540,x) +--R +--R +--R (215) +--R 4 2 3 +--R 2sinh(x) + (cosh(x) + 6cosh(x) + 5)sinh(x) +--R + +--R 3 2 2 +--R (cosh(x) + 2cosh(x) + 3cosh(x) + 2)sinh(x) +--R + +--R 4 3 2 5 +--R (- cosh(x) - 6cosh(x) - 4cosh(x) + 6cosh(x) + 5)sinh(x) - cosh(x) +--R + +--R 4 3 2 +--R - 4cosh(x) - 2cosh(x) + 4cosh(x) + 3cosh(x) +--R / +--R 2 2 +--R (2a cosh(x) + 4a cosh(x) + 2a)sinh(x) +--R + +--R 3 2 4 +--R (4a cosh(x) + 12a cosh(x) + 12a cosh(x) + 4a)sinh(x) + 2a cosh(x) +--R + +--R 3 2 +--R 8a cosh(x) + 12a cosh(x) + 8a cosh(x) + 2a +--R Type: Expression Integer +--E 217 + +--S 218 of 530 +t0541:= cosh(x)^3/(a+a*cosh(x)) +--R +--R +--R 3 +--R cosh(x) +--R (216) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 218 + +--S 219 of 530 +r0541:= 1/2*(3*x+3*x*cosh(x)-4*sinh(x)-cosh(x)*sinh(x)+_ + sinh(x)*cosh(x)^2)/a/(1+cosh(x)) +--R +--R +--R 2 +--R (cosh(x) - cosh(x) - 4)sinh(x) + 3x cosh(x) + 3x +--R (217) ------------------------------------------------- +--R 2a cosh(x) + 2a +--R Type: Expression Integer +--E 219 + +--S 220 of 530 +a0541:= integrate(t0541,x) +--R +--R +--R (218) +--R 3 2 +--R sinh(x) + (3cosh(x) - 4)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 12x - 7)sinh(x) + cosh(x) - 4cosh(x) +--R + +--R (12x - 1)cosh(x) + 12x + 20 +--R / +--R 8a sinh(x) + 8a cosh(x) + 8a +--R Type: Union(Expression Integer,...) +--E 220 + +--S 221 of 530 +m0541:= a0541-r0541 +--R +--R +--R (219) +--R 3 2 2 +--R (cosh(x) + 1)sinh(x) + (- cosh(x) + 3cosh(x) + 12)sinh(x) +--R + +--R 3 2 4 3 +--R (- cosh(x) - cosh(x) + 9cosh(x) + 9)sinh(x) + cosh(x) - 3cosh(x) +--R + +--R 2 +--R - 5cosh(x) + 19cosh(x) + 20 +--R / +--R 2 +--R (8a cosh(x) + 8a)sinh(x) + 8a cosh(x) + 16a cosh(x) + 8a +--R Type: Expression Integer +--E 221 + +--S 222 of 530 +d0541:= D(m0541,x) +--R +--R +--R (220) +--R 2 4 +--R (- 2cosh(x) - 4cosh(x) - 10)sinh(x) +--R + +--R 2 3 +--R (- 5cosh(x) - 26cosh(x) - 21)sinh(x) +--R + +--R 4 3 2 2 +--R (4cosh(x) + 5cosh(x) - 4cosh(x) - 15cosh(x) - 10)sinh(x) +--R + +--R 4 3 2 6 +--R (5cosh(x) + 26cosh(x) + 16cosh(x) - 26cosh(x) - 21)sinh(x) - 2cosh(x) +--R + +--R 5 4 3 2 +--R - cosh(x) + 14cosh(x) + 12cosh(x) - 12cosh(x) - 11cosh(x) +--R / +--R 2 2 +--R (8a cosh(x) + 16a cosh(x) + 8a)sinh(x) +--R + +--R 3 2 4 +--R (16a cosh(x) + 48a cosh(x) + 48a cosh(x) + 16a)sinh(x) + 8a cosh(x) +--R + +--R 3 2 +--R 32a cosh(x) + 48a cosh(x) + 32a cosh(x) + 8a +--R Type: Expression Integer +--E 222 + +--S 223 of 530 +t0542:= cosh(x)^4/(a+a*cosh(x)) +--R +--R +--R 4 +--R cosh(x) +--R (221) ------------- +--R a cosh(x) + a +--R Type: Expression Integer +--E 223 + +--S 224 of 530 +r0542:= 1/6*(7*cosh(x)*sinh(x)-sinh(x)*cosh(x)^2+_ + 16*sinh(x)+2*cosh(x)^3*sinh(x)-9*x*cosh(x)-9*x)/a/(1+cosh(x)) +--R +--R +--R 3 2 +--R (2cosh(x) - cosh(x) + 7cosh(x) + 16)sinh(x) - 9x cosh(x) - 9x +--R (222) --------------------------------------------------------------- +--R 6a cosh(x) + 6a +--R Type: Expression Integer +--E 224 + +--S 225 of 530 +a0542:= integrate(t0542,x) +--R +--R +--R (223) +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) - 1)sinh(x) + (6cosh(x) - 9cosh(x) + 20)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) - 3cosh(x) + 32cosh(x) - 36x + 39)sinh(x) + cosh(x) +--R + +--R 3 2 +--R - 3cosh(x) + 20cosh(x) + (- 36x + 3)cosh(x) - 36x - 69 +--R / +--R 24a sinh(x) + 24a cosh(x) + 24a +--R Type: Union(Expression Integer,...) +--E 225 + +--S 226 of 530 +m0542:= a0542-r0542 +--R +--R +--R (224) +--R 4 2 3 +--R (cosh(x) + 1)sinh(x) + (4cosh(x) + 3cosh(x) - 1)sinh(x) +--R + +--R 3 2 2 +--R (- 2cosh(x) + cosh(x) - 17cosh(x) - 44)sinh(x) +--R + +--R 4 3 2 5 +--R (- 4cosh(x) - 3cosh(x) + 5cosh(x) - 21cosh(x) - 25)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R - 2cosh(x) + 17cosh(x) + 23cosh(x) - 66cosh(x) - 69 +--R / +--R 2 +--R (24a cosh(x) + 24a)sinh(x) + 24a cosh(x) + 48a cosh(x) + 24a +--R Type: Expression Integer +--E 226 + +--S 227 of 530 +d0542:= D(m0542,x) +--R +--R +--R (225) +--R 2 5 +--R (3cosh(x) + 6cosh(x) + 3)sinh(x) +--R + +--R 3 2 4 +--R (- cosh(x) + 6cosh(x) + 15cosh(x) + 32)sinh(x) +--R + +--R 4 3 2 3 +--R (- 2cosh(x) - 4cosh(x) + 25cosh(x) + 102cosh(x) + 75)sinh(x) +--R + +--R 5 4 3 2 2 +--R (6cosh(x) + 4cosh(x) + 9cosh(x) + 38cosh(x) + 59cosh(x) + 32)sinh(x) +--R + +--R 6 5 4 3 2 +--R - cosh(x) - 2cosh(x) - 24cosh(x) - 94cosh(x) - 47cosh(x) +--R + +--R 96cosh(x) + 72 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 5cosh(x) - 10cosh(x) - 20cosh(x) - 54cosh(x) - 19cosh(x) +--R + +--R 2 +--R 64cosh(x) + 44cosh(x) +--R / +--R 2 2 +--R (24a cosh(x) + 48a cosh(x) + 24a)sinh(x) +--R + +--R 3 2 4 +--R (48a cosh(x) + 144a cosh(x) + 144a cosh(x) + 48a)sinh(x) + 24a cosh(x) +--R + +--R 3 2 +--R 96a cosh(x) + 144a cosh(x) + 96a cosh(x) + 24a +--R Type: Expression Integer +--E 227 + +--S 228 of 530 +t0543:= tanh(x)/(a+b*cosh(x)) +--R +--R +--R tanh(x) +--R (226) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 228 + +--S 229 of 530 +r0543:= (log(cosh(x))-log(a+b*cosh(x)))/a +--R +--R +--R - log(b cosh(x) + a) + log(cosh(x)) +--R (227) ----------------------------------- +--R a +--R Type: Expression Integer +--E 229 + +--S 230 of 530 +a0543:= integrate(t0543,x) +--R +--R +--R 2cosh(x) - 2b cosh(x) - 2a +--R log(- -----------------) - log(-----------------) +--R sinh(x) - cosh(x) sinh(x) - cosh(x) +--R (228) ------------------------------------------------- +--R a +--R Type: Union(Expression Integer,...) +--E 230 + +--S 231 of 530 +m0543:= a0543-r0543 +--R +--R +--R (229) +--R 2cosh(x) +--R log(b cosh(x) + a) - log(cosh(x)) + log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2b cosh(x) - 2a +--R - log(-----------------) +--R sinh(x) - cosh(x) +--R / +--R a +--R Type: Expression Integer +--E 231 + +--S 232 of 530 +d0543:= D(m0543,x) +--R +--R +--R (230) 0 +--R Type: Expression Integer +--E 232 + +--S 233 of 530 +t0544:= tanh(x)^2/(a+b*cosh(x)) +--R +--R +--R 2 +--R tanh(x) +--R (231) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 233 + +--S 234 of 530 +r0544:= b*atan(sinh(x))/a^2+2*(a^2-b^2)^(1/2)*_ + atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2-tanh(x)/a +--R +--R +--R x +--R +---------+ (b - a)tanh(-) +--R | 2 2 2 +--R - 2\|- b + a atanh(--------------) + b atan(sinh(x)) - a tanh(x) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (232) ------------------------------------------------------------------ +--R 2 +--R a +--R Type: Expression Integer +--E 234 + +--S 235 of 530 +a0544:= integrate(t0544,x) +--R +--R +--R (233) +--R [ +--R +---------+ +--R 2 2 | 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b +--R + +--R 2 +--R 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) + 2b) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a +--R , +--R +--R +-------+ +--R 2 2 | 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) + 2b) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 235 + +--S 236 of 530 +m0544a:= a0544.1-r0544 +--R +--R +--R (234) +--R +---------+ +--R 2 2 | 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (- 2b sinh(x) - 2b cosh(x) - 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|- b + a +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) + 2b) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b)atan(sinh(x)) +--R + +--R 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a)tanh(x) + 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a +--R Type: Expression Integer +--E 236 + +--S 237 of 530 +d0544a:= D(m0544a,x) +--R +--R +--R (235) +--R 2 2 8 +--R (- a b + a b)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((- 6a b + 6a b)cosh(x) - 2a b + 2a )sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 15a b + 15a b)cosh(x) + (- 10a b + 10a )cosh(x) - 4a b +--R + +--R 2 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 20a b + 20a b)cosh(x) + (- 20a b + 20a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b + 18a b)cosh(x) - 6a b + 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 15a b + 15a b)cosh(x) + (- 20a b + 20a )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 33a b + 33a b)cosh(x) + (- 22a b + 22a )cosh(x) - 6a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b + 6a b)cosh(x) + (- 10a b + 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 32a b + 32a b)cosh(x) + (- 32a b + 32a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b + 18a b)cosh(x) - 6a b + 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b + a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 18a b + 18a b)cosh(x) + (- 24a b + 24a )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 21a b + 21a b)cosh(x) + (- 14a b + 14a )cosh(x) - 4a b +--R + +--R 2 +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b + 6a b)cosh(x) + (- 10a b + 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 12a b + 12a b)cosh(x) + (- 12a b + 12a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 6a b + 6a b)cosh(x) - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b + a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 3a b + 3a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 3a b + 3a b)cosh(x) + (- 2a b + 2a )cosh(x) - a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 8 +--R (- a b - a b)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((- 6a b - 6a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 15a b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) - 4a b +--R + +--R 2 +--R - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 20a b - 20a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b - 18a b)cosh(x) - 6a b - 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 15a b - 15a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 33a b - 33a b)cosh(x) + (- 22a b - 22a )cosh(x) - 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 32a b - 32a b)cosh(x) + (- 32a b - 32a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b - 18a b)cosh(x) - 6a b - 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 18a b - 18a b)cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 21a b - 21a b)cosh(x) + (- 14a b - 14a )cosh(x) - 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 12a b - 12a b)cosh(x) + (- 12a b - 12a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 6a b - 6a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 3a b - 3a b)cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 3a b - 3a b)cosh(x) + (- 2a b - 2a )cosh(x) - a b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 8 +--R (- b + a b )sinh(x) +--R + +--R 3 2 2 2 3 7 +--R ((- 6b + 6a b )cosh(x) - 2a b + 4a b - 2a )sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R (- 15b + 15a b )cosh(x) + (- b - 9a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 +--R - 4b + 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 3 +--R (- 20b + 20a b )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 6b - 14a b + 40a b - 20a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 18b + 16a b + 2a b)cosh(x) - 6a b + 4a b + 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 +--R (- 15b + 15a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 15b - 5a b + 40a b - 20a )cosh(x) +--R + +--R 3 2 2 2 +--R (- 33b + 23a b + 10a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b - 19a b + 20a b + 2a )cosh(x) - 6b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 +--R (- 6b + 6a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 20b + 10a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b + 12a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 12b - 20a b + 40a b - 8a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 18b + 14a b + 4a b)cosh(x) - 6a b + 4a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 5 +--R (- b + a b )cosh(x) + (- 15b + 13a b + 4a b - 2a )cosh(x) +--R + +--R 3 2 2 4 +--R (- 18b - 2a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 18b - 6a b + 40a b - 16a )cosh(x) +--R + +--R 3 2 2 2 +--R (- 21b + 9a b + 12a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b - 11a b + 4a b + 10a )cosh(x) - 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- 6b + 6a b )cosh(x) + (- 6b - 4a b + 10a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12b + 2a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 3 3 2 3 2 +--R (- 12b + 12a b)cosh(x) + (- 6b - 6a b + 12a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 6b + 4a b + 2a b)cosh(x) - 2a b + 4a b - 2a +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (- b + a b )cosh(x) + (- b - a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 5 3 2 2 4 +--R (- 3b + a b + 4a b - 2a )cosh(x) + (- 3b - a b + 4a b)cosh(x) +--R + +--R 3 2 3 3 3 2 2 2 +--R (- 3b - a b + 4a )cosh(x) + (- 3b + a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- b - a b + 4a b - 2a )cosh(x) - b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 8 3 2 2 2 3 7 +--R (b + a b )sinh(x) + ((6b + 6a b )cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 3 2 2 3 2 2 3 3 +--R (15b + 15a b )cosh(x) + (- b + 9a b + 20a b + 10a )cosh(x) + 4b +--R + +--R 2 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 3 3 2 2 3 2 +--R (20b + 20a b )cosh(x) + (- 6b + 14a b + 40a b + 20a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (18b + 16a b - 2a b)cosh(x) + 6a b + 4a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 3 3 +--R (15b + 15a b )cosh(x) + (- 15b + 5a b + 40a b + 20a )cosh(x) +--R + +--R 3 2 2 2 +--R (33b + 23a b - 10a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b + 19a b + 20a b - 2a )cosh(x) + 6b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 4 +--R (6b + 6a b )cosh(x) + (- 20b - 10a b + 20a b + 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (32b + 12a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 12b + 20a b + 40a b + 8a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (18b + 14a b - 4a b)cosh(x) + 6a b + 4a b - 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 5 +--R (b + a b )cosh(x) + (- 15b - 13a b + 4a b + 2a )cosh(x) +--R + +--R 3 2 2 4 +--R (18b - 2a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 18b + 6a b + 40a b + 16a )cosh(x) +--R + +--R 3 2 2 2 +--R (21b + 9a b - 12a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b + 11a b + 4a b - 10a )cosh(x) + 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- 6b - 6a b )cosh(x) + (6b - 4a b - 10a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 3 +--R (- 12b - 2a b + 20a b + 10a )cosh(x) + (12b - 12a b)cosh(x) +--R + +--R 3 2 3 2 3 2 2 2 +--R (- 6b + 6a b - 12a )cosh(x) + (6b + 4a b - 2a b)cosh(x) + 2a b +--R + +--R 2 3 +--R 4a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (- b - a b )cosh(x) + (b - a b - 2a b)cosh(x) +--R + +--R 3 2 2 3 5 3 2 2 4 +--R (- 3b - a b + 4a b + 2a )cosh(x) + (3b - a b - 4a b)cosh(x) +--R + +--R 3 2 3 3 3 2 2 2 +--R (- 3b + a b - 4a )cosh(x) + (3b + a b - 2a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- b + a b + 4a b + 2a )cosh(x) + b + a b +--R / +--R 2 2 3 8 2 2 3 3 4 7 +--R (a b - a b)sinh(x) + ((6a b - 6a b)cosh(x) + 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R ((15a b - 15a b)cosh(x) + (10a b - 10a )cosh(x) + 4a b - 4a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20a b - 20a b)cosh(x) + (20a b - 20a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b - 18a b)cosh(x) + 6a b - 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15a b - 15a b)cosh(x) + (20a b - 20a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33a b - 33a b)cosh(x) + (22a b - 22a )cosh(x) + 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b - 6a b)cosh(x) + (10a b - 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32a b - 32a b)cosh(x) + (32a b - 32a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b - 18a b)cosh(x) + 6a b - 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18a b - 18a b)cosh(x) + (24a b - 24a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21a b - 21a b)cosh(x) + (14a b - 14a )cosh(x) + 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b - 6a b)cosh(x) + (10a b - 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12a b - 12a b)cosh(x) + (12a b - 12a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6a b - 6a b)cosh(x) + 2a b - 2a +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) + (3a b - 3a b)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4a b - 4a )cosh(x) + (3a b - 3a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 2 2 3 +--R a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 3 8 2 2 3 3 4 7 +--R (a b + a b)sinh(x) + ((6a b + 6a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 6 +--R ((15a b + 15a b)cosh(x) + (10a b + 10a )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20a b + 20a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b + 18a b)cosh(x) + 6a b + 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15a b + 15a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33a b + 33a b)cosh(x) + (22a b + 22a )cosh(x) + 6a b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32a b + 32a b)cosh(x) + (32a b + 32a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b + 18a b)cosh(x) + 6a b + 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18a b + 18a b)cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21a b + 21a b)cosh(x) + (14a b + 14a )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12a b + 12a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6a b + 6a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (3a b + 3a b)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4a b + 4a )cosh(x) + (3a b + 3a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 2 3 +--R a b + a b +--R Type: Expression Integer +--E 237 + +--S 238 of 530 +m0544b:= a0544.2-r0544 +--R +--R +--R (236) +--R +---------+ +--R 2 2 | 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|- b + a +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) + 2b) +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b)atan(sinh(x)) +--R + +--R 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a)tanh(x) + 2a +--R / +--R 2 2 2 2 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + a +--R Type: Expression Integer +--E 238 + +--S 239 of 530 +d0544b:= D(m0544b,x) +--R +--R +--R (237) +--R 2 2 8 +--R (- a b + a b)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((- 6a b + 6a b)cosh(x) - 2a b + 2a )sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 15a b + 15a b)cosh(x) + (- 10a b + 10a )cosh(x) - 4a b +--R + +--R 2 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 20a b + 20a b)cosh(x) + (- 20a b + 20a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b + 18a b)cosh(x) - 6a b + 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 15a b + 15a b)cosh(x) + (- 20a b + 20a )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 33a b + 33a b)cosh(x) + (- 22a b + 22a )cosh(x) - 6a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b + 6a b)cosh(x) + (- 10a b + 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 32a b + 32a b)cosh(x) + (- 32a b + 32a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b + 18a b)cosh(x) - 6a b + 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b + a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 18a b + 18a b)cosh(x) + (- 24a b + 24a )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 21a b + 21a b)cosh(x) + (- 14a b + 14a )cosh(x) - 4a b +--R + +--R 2 +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b + 6a b)cosh(x) + (- 10a b + 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 12a b + 12a b)cosh(x) + (- 12a b + 12a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 6a b + 6a b)cosh(x) - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b + a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 3a b + 3a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 3a b + 3a b)cosh(x) + (- 2a b + 2a )cosh(x) - a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 8 +--R (- a b - a b)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((- 6a b - 6a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 15a b - 15a b)cosh(x) + (- 10a b - 10a )cosh(x) - 4a b +--R + +--R 2 +--R - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 20a b - 20a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b - 18a b)cosh(x) - 6a b - 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 15a b - 15a b)cosh(x) + (- 20a b - 20a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 33a b - 33a b)cosh(x) + (- 22a b - 22a )cosh(x) - 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 32a b - 32a b)cosh(x) + (- 32a b - 32a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 18a b - 18a b)cosh(x) - 6a b - 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 18a b - 18a b)cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 21a b - 21a b)cosh(x) + (- 14a b - 14a )cosh(x) - 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (- 6a b - 6a b)cosh(x) + (- 10a b - 10a )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 12a b - 12a b)cosh(x) + (- 12a b - 12a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 6a b - 6a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (- 3a b - 3a b)cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (- 3a b - 3a b)cosh(x) + (- 2a b - 2a )cosh(x) - a b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 8 +--R (- b + a b )sinh(x) +--R + +--R 3 2 2 2 3 7 +--R ((- 6b + 6a b )cosh(x) - 2a b + 4a b - 2a )sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R (- 15b + 15a b )cosh(x) + (- b - 9a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 +--R - 4b + 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 3 +--R (- 20b + 20a b )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 6b - 14a b + 40a b - 20a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 18b + 16a b + 2a b)cosh(x) - 6a b + 4a b + 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 +--R (- 15b + 15a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 15b - 5a b + 40a b - 20a )cosh(x) +--R + +--R 3 2 2 2 +--R (- 33b + 23a b + 10a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b - 19a b + 20a b + 2a )cosh(x) - 6b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 +--R (- 6b + 6a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 20b + 10a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b + 12a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 12b - 20a b + 40a b - 8a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 18b + 14a b + 4a b)cosh(x) - 6a b + 4a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 5 +--R (- b + a b )cosh(x) + (- 15b + 13a b + 4a b - 2a )cosh(x) +--R + +--R 3 2 2 4 +--R (- 18b - 2a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 18b - 6a b + 40a b - 16a )cosh(x) +--R + +--R 3 2 2 2 +--R (- 21b + 9a b + 12a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b - 11a b + 4a b + 10a )cosh(x) - 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- 6b + 6a b )cosh(x) + (- 6b - 4a b + 10a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12b + 2a b + 20a b - 10a )cosh(x) +--R + +--R 3 2 3 3 2 3 2 +--R (- 12b + 12a b)cosh(x) + (- 6b - 6a b + 12a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (- 6b + 4a b + 2a b)cosh(x) - 2a b + 4a b - 2a +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (- b + a b )cosh(x) + (- b - a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 5 3 2 2 4 +--R (- 3b + a b + 4a b - 2a )cosh(x) + (- 3b - a b + 4a b)cosh(x) +--R + +--R 3 2 3 3 3 2 2 2 +--R (- 3b - a b + 4a )cosh(x) + (- 3b + a b + 2a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- b - a b + 4a b - 2a )cosh(x) - b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 8 3 2 2 2 3 7 +--R (b + a b )sinh(x) + ((6b + 6a b )cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 3 2 2 3 2 2 3 3 +--R (15b + 15a b )cosh(x) + (- b + 9a b + 20a b + 10a )cosh(x) + 4b +--R + +--R 2 +--R 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 3 3 2 2 3 2 +--R (20b + 20a b )cosh(x) + (- 6b + 14a b + 40a b + 20a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (18b + 16a b - 2a b)cosh(x) + 6a b + 4a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 3 3 +--R (15b + 15a b )cosh(x) + (- 15b + 5a b + 40a b + 20a )cosh(x) +--R + +--R 3 2 2 2 +--R (33b + 23a b - 10a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b + 19a b + 20a b - 2a )cosh(x) + 6b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 4 +--R (6b + 6a b )cosh(x) + (- 20b - 10a b + 20a b + 10a )cosh(x) +--R + +--R 3 2 2 3 +--R (32b + 12a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 12b + 20a b + 40a b + 8a )cosh(x) +--R + +--R 3 2 2 2 2 3 +--R (18b + 14a b - 4a b)cosh(x) + 6a b + 4a b - 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 3 5 +--R (b + a b )cosh(x) + (- 15b - 13a b + 4a b + 2a )cosh(x) +--R + +--R 3 2 2 4 +--R (18b - 2a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 18b + 6a b + 40a b + 16a )cosh(x) +--R + +--R 3 2 2 2 +--R (21b + 9a b - 12a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 3b + 11a b + 4a b - 10a )cosh(x) + 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 5 +--R (- 6b - 6a b )cosh(x) + (6b - 4a b - 10a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 3 +--R (- 12b - 2a b + 20a b + 10a )cosh(x) + (12b - 12a b)cosh(x) +--R + +--R 3 2 3 2 3 2 2 2 +--R (- 6b + 6a b - 12a )cosh(x) + (6b + 4a b - 2a b)cosh(x) + 2a b +--R + +--R 2 3 +--R 4a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (- b - a b )cosh(x) + (b - a b - 2a b)cosh(x) +--R + +--R 3 2 2 3 5 3 2 2 4 +--R (- 3b - a b + 4a b + 2a )cosh(x) + (3b - a b - 4a b)cosh(x) +--R + +--R 3 2 3 3 3 2 2 2 +--R (- 3b + a b - 4a )cosh(x) + (3b + a b - 2a b)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- b + a b + 4a b + 2a )cosh(x) + b + a b +--R / +--R 2 2 3 8 2 2 3 3 4 7 +--R (a b - a b)sinh(x) + ((6a b - 6a b)cosh(x) + 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R ((15a b - 15a b)cosh(x) + (10a b - 10a )cosh(x) + 4a b - 4a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20a b - 20a b)cosh(x) + (20a b - 20a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b - 18a b)cosh(x) + 6a b - 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15a b - 15a b)cosh(x) + (20a b - 20a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33a b - 33a b)cosh(x) + (22a b - 22a )cosh(x) + 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b - 6a b)cosh(x) + (10a b - 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32a b - 32a b)cosh(x) + (32a b - 32a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b - 18a b)cosh(x) + 6a b - 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18a b - 18a b)cosh(x) + (24a b - 24a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21a b - 21a b)cosh(x) + (14a b - 14a )cosh(x) + 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b - 6a b)cosh(x) + (10a b - 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12a b - 12a b)cosh(x) + (12a b - 12a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6a b - 6a b)cosh(x) + 2a b - 2a +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) + (3a b - 3a b)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4a b - 4a )cosh(x) + (3a b - 3a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 2 2 3 +--R a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 3 8 2 2 3 3 4 7 +--R (a b + a b)sinh(x) + ((6a b + 6a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 6 +--R ((15a b + 15a b)cosh(x) + (10a b + 10a )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20a b + 20a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b + 18a b)cosh(x) + 6a b + 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15a b + 15a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33a b + 33a b)cosh(x) + (22a b + 22a )cosh(x) + 6a b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32a b + 32a b)cosh(x) + (32a b + 32a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18a b + 18a b)cosh(x) + 6a b + 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18a b + 18a b)cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21a b + 21a b)cosh(x) + (14a b + 14a )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6a b + 6a b)cosh(x) + (10a b + 10a )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12a b + 12a b)cosh(x) + (12a b + 12a )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6a b + 6a b)cosh(x) + 2a b + 2a +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (3a b + 3a b)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4a b + 4a )cosh(x) + (3a b + 3a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 2 3 +--R a b + a b +--R Type: Expression Integer +--E 239 + +--S 240 of 530 +t0545:= tanh(x)^3/(a+b*cosh(x)) +--R +--R +--R 3 +--R tanh(x) +--R (238) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 240 + +--S 241 of 530 +r0545:= (a^2-b^2)*log(cosh(x))/a^3-(a^2-b^2)*_ + log(a+b*cosh(x))/a^3-b*sech(x)/a^2+1/2*sech(x)^2/a +--R +--R +--R (239) +--R 2 2 2 2 2 2 +--R (2b - 2a )log(b cosh(x) + a) + (- 2b + 2a )log(cosh(x)) + a sech(x) +--R + +--R - 2a b sech(x) +--R / +--R 3 +--R 2a +--R Type: Expression Integer +--E 241 + +--S 242 of 530 +a0545:= integrate(t0545,x) +--R +--R +--R (240) +--R 2 2 4 2 2 3 +--R (- b + a )sinh(x) + (- 4b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b + 6a )cosh(x) - 2b + 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b + 4a )cosh(x) + (- 4b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- b + a )cosh(x) + (- 2b + 2a )cosh(x) - b + a +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((6b - 6a )cosh(x) + 2b - 2a )sinh(x) +--R + +--R 2 2 3 2 2 2 2 4 +--R ((4b - 4a )cosh(x) + (4b - 4a )cosh(x))sinh(x) + (b - a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (2b - 2a )cosh(x) + b - a +--R * +--R - 2b cosh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 2 +--R - 2a b sinh(x) + (- 6a b cosh(x) + 2a )sinh(x) +--R + +--R 2 2 3 +--R (- 6a b cosh(x) + 4a cosh(x) - 2a b)sinh(x) - 2a b cosh(x) +--R + +--R 2 2 +--R 2a cosh(x) - 2a b cosh(x) +--R / +--R 3 4 3 3 3 2 3 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) + 2a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (4a cosh(x) + 4a cosh(x))sinh(x) + a cosh(x) + 2a cosh(x) + a +--R Type: Union(Expression Integer,...) +--E 242 + +--S 243 of 530 +m0545:= a0545-r0545 +--R +--R +--R (241) +--R 2 2 4 2 2 3 +--R (- 2b + 2a )sinh(x) + (- 8b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b + 12a )cosh(x) - 4b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b + 8a )cosh(x) + (- 8b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b + 2a )cosh(x) + (- 4b + 4a )cosh(x) - 2b + 2a +--R * +--R log(b cosh(x) + a) +--R + +--R 2 2 4 2 2 3 +--R (2b - 2a )sinh(x) + (8b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b - 12a )cosh(x) + 4b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b - 8a )cosh(x) + (8b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b - 2a )cosh(x) + (4b - 4a )cosh(x) + 2b - 2a +--R * +--R log(cosh(x)) +--R + +--R 2 2 4 2 2 3 +--R (- 2b + 2a )sinh(x) + (- 8b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 12b + 12a )cosh(x) - 4b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 8b + 8a )cosh(x) + (- 8b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- 2b + 2a )cosh(x) + (- 4b + 4a )cosh(x) - 2b + 2a +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 2 2 3 +--R (2b - 2a )sinh(x) + (8b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12b - 12a )cosh(x) + 4b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8b - 8a )cosh(x) + (8b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (2b - 2a )cosh(x) + (4b - 4a )cosh(x) + 2b - 2a +--R * +--R - 2b cosh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 4 +--R (- a sech(x) + 2a b sech(x))sinh(x) +--R + +--R 2 2 3 +--R (- 4a cosh(x)sech(x) + 8a b cosh(x)sech(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 6a cosh(x) - 2a )sech(x) + (12a b cosh(x) + 4a b)sech(x) +--R + +--R 2 +--R - 12a b cosh(x) + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (- 4a cosh(x) - 4a cosh(x))sech(x) +--R + +--R 3 2 2 +--R (8a b cosh(x) + 8a b cosh(x))sech(x) - 12a b cosh(x) + 8a cosh(x) +--R + +--R - 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- a cosh(x) - 2a cosh(x) - a )sech(x) +--R + +--R 4 2 3 +--R (2a b cosh(x) + 4a b cosh(x) + 2a b)sech(x) - 4a b cosh(x) +--R + +--R 2 2 +--R 4a cosh(x) - 4a b cosh(x) +--R / +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) + 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) + 8a cosh(x))sinh(x) + 2a cosh(x) + 4a cosh(x) + 2a +--R Type: Expression Integer +--E 243 + +--S 244 of 530 +d0545:= D(m0545,x) +--R +--R +--R (242) +--R 2 6 +--R (a sech(x) - b sech(x))sinh(x) +--R + +--R 2 5 +--R (6a cosh(x)sech(x) - 6b cosh(x)sech(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((15a cosh(x) + 3a)sech(x) + (- 15b cosh(x) - 3b)sech(x))sinh(x) +--R + +--R 3 2 +--R (20a cosh(x) + 12a cosh(x))sech(x) +--R + +--R 3 +--R (- 20b cosh(x) - 12b cosh(x))sech(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 +--R (15a cosh(x) + 18a cosh(x) + 3a)sech(x) +--R + +--R 4 2 +--R (- 15b cosh(x) - 18b cosh(x) - 3b)sech(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 +--R (6a cosh(x) + 12a cosh(x) + 6a cosh(x))sech(x) +--R + +--R 5 3 +--R (- 6b cosh(x) - 12b cosh(x) - 6b cosh(x))sech(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 +--R (a cosh(x) + 3a cosh(x) + 3a cosh(x) + a)sech(x) +--R + +--R 6 4 2 +--R (- b cosh(x) - 3b cosh(x) - 3b cosh(x) - b)sech(x) +--R * +--R tanh(x) +--R + +--R 5 4 +--R 2b sinh(x) + (10b cosh(x) - 4a)sinh(x) +--R + +--R 2 3 +--R (20b cosh(x) - 16a cosh(x))sinh(x) +--R + +--R 3 2 2 +--R (20b cosh(x) - 24a cosh(x) + 4a)sinh(x) +--R + +--R 4 3 5 +--R (10b cosh(x) - 16a cosh(x) + 8a cosh(x) - 2b)sinh(x) + 2b cosh(x) +--R + +--R 4 2 +--R - 4a cosh(x) + 4a cosh(x) - 2b cosh(x) +--R / +--R 2 6 2 5 2 2 2 4 +--R a sinh(x) + 6a cosh(x)sinh(x) + (15a cosh(x) + 3a )sinh(x) +--R + +--R 2 3 2 3 +--R (20a cosh(x) + 12a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (15a cosh(x) + 18a cosh(x) + 3a )sinh(x) +--R + +--R 2 5 2 3 2 2 6 +--R (6a cosh(x) + 12a cosh(x) + 6a cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 4 2 2 2 +--R 3a cosh(x) + 3a cosh(x) + a +--R Type: Expression Integer +--E 244 + +--S 245 of 530 +t0546:= tanh(x)^4/(a+b*cosh(x)) +--R +--R +--R 4 +--R tanh(x) +--R (243) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 245 + +--S 246 of 530 +r0546:= 3/2*b*atan(sinh(x))/a^2-b^3*atan(sinh(x))/a^4+_ + 2*(a^2-b^2)^(3/2)*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^4-_ + tanh(x)/a+b^2*tanh(x)/a^3-1/2*b*sech(x)*tanh(x)/a^2-1/3*tanh(x)^3/a +--R +--R +--R (244) +--R x +--R +---------+ (b - a)tanh(-) +--R 2 2 | 2 2 2 +--R (12b - 12a )\|- b + a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 3 +--R (- 6b + 9a b)atan(sinh(x)) - 2a tanh(x) +--R + +--R 2 2 3 +--R (- 3a b sech(x) + 6a b - 6a )tanh(x) +--R / +--R 4 +--R 6a +--R Type: Expression Integer +--E 246 + +--S 247 of 530 +a0546:= integrate(t0546,x) +--R +--R +--R (245) +--R [ +--R 2 2 6 2 2 5 +--R (3b - 3a )sinh(x) + (18b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((45b - 45a )cosh(x) + 9b - 9a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((60b - 60a )cosh(x) + (36b - 36a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 2 +--R ((45b - 45a )cosh(x) + (54b - 54a )cosh(x) + 9b - 9a )sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (18b - 18a )cosh(x) + (36b - 36a )cosh(x) +--R + +--R 2 2 +--R (18b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 2 2 2 +--R (3b - 3a )cosh(x) + (9b - 9a )cosh(x) + (9b - 9a )cosh(x) +--R + +--R 2 2 +--R 3b - 3a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b +--R + +--R 2 +--R 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 3 2 6 3 2 5 +--R (- 6b + 9a b)sinh(x) + (- 36b + 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b + 135a b)cosh(x) - 18b + 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b + 180a b)cosh(x) + (- 72b + 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 90b + 135a b)cosh(x) + (- 108b + 162a b)cosh(x) - 18b +--R + +--R 2 +--R 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b + 54a b)cosh(x) + (- 72b + 108a b)cosh(x) +--R + +--R 3 2 +--R (- 36b + 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b + 9a b)cosh(x) + (- 18b + 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b + 27a b)cosh(x) - 6b + 9a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 5 2 2 3 4 +--R - 3a b sinh(x) + (- 15a b cosh(x) - 6a b + 12a )sinh(x) +--R + +--R 2 2 2 3 3 +--R (- 30a b cosh(x) + (- 24a b + 48a )cosh(x))sinh(x) +--R + +--R 2 3 2 3 2 2 3 2 +--R (- 30a b cosh(x) + (- 36a b + 72a )cosh(x) - 12a b + 12a )sinh(x) +--R + +--R 2 4 2 3 3 +--R - 15a b cosh(x) + (- 24a b + 48a )cosh(x) +--R + +--R 2 3 2 +--R (- 24a b + 24a )cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 2 5 2 3 4 2 3 2 +--R - 3a b cosh(x) + (- 6a b + 12a )cosh(x) + (- 12a b + 12a )cosh(x) +--R + +--R 2 2 3 +--R 3a b cosh(x) - 6a b + 8a +--R / +--R 4 6 4 5 4 2 4 4 +--R 3a sinh(x) + 18a cosh(x)sinh(x) + (45a cosh(x) + 9a )sinh(x) +--R + +--R 4 3 4 3 +--R (60a cosh(x) + 36a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45a cosh(x) + 54a cosh(x) + 9a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18a cosh(x) + 36a cosh(x) + 18a cosh(x))sinh(x) + 3a cosh(x) +--R + +--R 4 4 4 2 4 +--R 9a cosh(x) + 9a cosh(x) + 3a +--R , +--R +--R 2 2 6 2 2 5 +--R (- 6b + 6a )sinh(x) + (- 36b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 90b + 90a )cosh(x) - 18b + 18a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 120b + 120a )cosh(x) + (- 72b + 72a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 90b + 90a )cosh(x) + (- 108b + 108a )cosh(x) - 18b +--R + +--R 2 +--R 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 36b + 36a )cosh(x) + (- 72b + 72a )cosh(x) +--R + +--R 2 2 +--R (- 36b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 6b + 6a )cosh(x) + (- 18b + 18a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 18b + 18a )cosh(x) - 6b + 6a +--R * +--R +-------+ +--R +-------+ | 2 2 +--R | 2 2 \|b - a +--R \|b - a atan(-------------------------) +--R b sinh(x) + b cosh(x) + a +--R + +--R 3 2 6 3 2 5 +--R (- 6b + 9a b)sinh(x) + (- 36b + 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 90b + 135a b)cosh(x) - 18b + 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 120b + 180a b)cosh(x) + (- 72b + 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 90b + 135a b)cosh(x) + (- 108b + 162a b)cosh(x) - 18b +--R + +--R 2 +--R 27a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 36b + 54a b)cosh(x) + (- 72b + 108a b)cosh(x) +--R + +--R 3 2 +--R (- 36b + 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 6b + 9a b)cosh(x) + (- 18b + 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 18b + 27a b)cosh(x) - 6b + 9a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 5 2 2 3 4 +--R - 3a b sinh(x) + (- 15a b cosh(x) - 6a b + 12a )sinh(x) +--R + +--R 2 2 2 3 3 +--R (- 30a b cosh(x) + (- 24a b + 48a )cosh(x))sinh(x) +--R + +--R 2 3 2 3 2 2 3 2 +--R (- 30a b cosh(x) + (- 36a b + 72a )cosh(x) - 12a b + 12a )sinh(x) +--R + +--R 2 4 2 3 3 +--R - 15a b cosh(x) + (- 24a b + 48a )cosh(x) +--R + +--R 2 3 2 +--R (- 24a b + 24a )cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 2 5 2 3 4 2 3 2 +--R - 3a b cosh(x) + (- 6a b + 12a )cosh(x) + (- 12a b + 12a )cosh(x) +--R + +--R 2 2 3 +--R 3a b cosh(x) - 6a b + 8a +--R / +--R 4 6 4 5 4 2 4 4 +--R 3a sinh(x) + 18a cosh(x)sinh(x) + (45a cosh(x) + 9a )sinh(x) +--R + +--R 4 3 4 3 +--R (60a cosh(x) + 36a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (45a cosh(x) + 54a cosh(x) + 9a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (18a cosh(x) + 36a cosh(x) + 18a cosh(x))sinh(x) + 3a cosh(x) +--R + +--R 4 4 4 2 4 +--R 9a cosh(x) + 9a cosh(x) + 3a +--R ] +--R Type: Union(List Expression Integer,...) +--E 247 + +--S 248 of 530 +m0546a:= a0546.1-r0546 +--R +--R +--R (246) +--R 2 2 6 2 2 5 +--R (6b - 6a )sinh(x) + (36b - 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((90b - 90a )cosh(x) + 18b - 18a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((120b - 120a )cosh(x) + (72b - 72a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R ((90b - 90a )cosh(x) + (108b - 108a )cosh(x) + 18b - 18a ) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (36b - 36a )cosh(x) + (72b - 72a )cosh(x) +--R + +--R 2 2 +--R (36b - 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 2 2 2 +--R (6b - 6a )cosh(x) + (18b - 18a )cosh(x) + (18b - 18a )cosh(x) +--R + +--R 2 2 +--R 6b - 6a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +---------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|- b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) - b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 2 2 6 2 2 5 +--R (- 12b + 12a )sinh(x) + (- 72b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 180b + 180a )cosh(x) - 36b + 36a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 240b + 240a )cosh(x) + (- 144b + 144a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 180b + 180a )cosh(x) + (- 216b + 216a )cosh(x) - 36b +--R + +--R 2 +--R 36a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 72b + 72a )cosh(x) + (- 144b + 144a )cosh(x) +--R + +--R 2 2 +--R (- 72b + 72a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 12b + 12a )cosh(x) + (- 36b + 36a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 36b + 36a )cosh(x) - 12b + 12a +--R * +--R x +--R +---------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|- b + a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 6 3 2 5 +--R (- 12b + 18a b)sinh(x) + (- 72b + 108a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((- 180b + 270a b)cosh(x) - 36b + 54a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((- 240b + 360a b)cosh(x) + (- 144b + 216a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 +--R (- 180b + 270a b)cosh(x) + (- 216b + 324a b)cosh(x) - 36b +--R + +--R 2 +--R 54a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (- 72b + 108a b)cosh(x) + (- 144b + 216a b)cosh(x) +--R + +--R 3 2 +--R (- 72b + 108a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (- 12b + 18a b)cosh(x) + (- 36b + 54a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 36b + 54a b)cosh(x) - 12b + 18a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 3 2 6 3 2 5 +--R (6b - 9a b)sinh(x) + (36b - 54a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 4 +--R ((90b - 135a b)cosh(x) + 18b - 27a b)sinh(x) +--R + +--R 3 2 3 3 2 3 +--R ((120b - 180a b)cosh(x) + (72b - 108a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 3 2 +--R ((90b - 135a b)cosh(x) + (108b - 162a b)cosh(x) + 18b - 27a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 3 +--R (36b - 54a b)cosh(x) + (72b - 108a b)cosh(x) +--R + +--R 3 2 +--R (36b - 54a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 4 +--R (6b - 9a b)cosh(x) + (18b - 27a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (18b - 27a b)cosh(x) + 6b - 9a b +--R * +--R atan(sinh(x)) +--R + +--R 3 6 3 5 3 2 3 4 +--R 2a sinh(x) + 12a cosh(x)sinh(x) + (30a cosh(x) + 6a )sinh(x) +--R + +--R 3 3 3 3 +--R (40a cosh(x) + 24a cosh(x))sinh(x) +--R + +--R 3 4 3 2 3 2 +--R (30a cosh(x) + 36a cosh(x) + 6a )sinh(x) +--R + +--R 3 5 3 3 3 3 6 +--R (12a cosh(x) + 24a cosh(x) + 12a cosh(x))sinh(x) + 2a cosh(x) +--R + +--R 3 4 3 2 3 +--R 6a cosh(x) + 6a cosh(x) + 2a +--R * +--R 3 +--R tanh(x) +--R + +--R 2 2 3 6 +--R (3a b sech(x) - 6a b + 6a )sinh(x) +--R + +--R 2 2 3 5 +--R (18a b cosh(x)sech(x) + (- 36a b + 36a )cosh(x))sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (45a b cosh(x) + 9a b)sech(x) + (- 90a b + 90a )cosh(x) +--R + +--R 2 3 +--R - 18a b + 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (60a b cosh(x) + 36a b cosh(x))sech(x) +--R + +--R 2 3 3 2 3 +--R (- 120a b + 120a )cosh(x) + (- 72a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (45a b cosh(x) + 54a b cosh(x) + 9a b)sech(x) +--R + +--R 2 3 4 2 3 2 2 +--R (- 90a b + 90a )cosh(x) + (- 108a b + 108a )cosh(x) - 18a b +--R + +--R 3 +--R 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 +--R (18a b cosh(x) + 36a b cosh(x) + 18a b cosh(x))sech(x) +--R + +--R 2 3 5 2 3 3 +--R (- 36a b + 36a )cosh(x) + (- 72a b + 72a )cosh(x) +--R + +--R 2 3 +--R (- 36a b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R (3a b cosh(x) + 9a b cosh(x) + 9a b cosh(x) + 3a b)sech(x) +--R + +--R 2 3 6 2 3 4 +--R (- 6a b + 6a )cosh(x) + (- 18a b + 18a )cosh(x) +--R + +--R 2 3 2 2 3 +--R (- 18a b + 18a )cosh(x) - 6a b + 6a +--R * +--R tanh(x) +--R + +--R 2 5 2 2 3 4 +--R - 6a b sinh(x) + (- 30a b cosh(x) - 12a b + 24a )sinh(x) +--R + +--R 2 2 2 3 3 +--R (- 60a b cosh(x) + (- 48a b + 96a )cosh(x))sinh(x) +--R + +--R 2 3 2 3 2 2 3 2 +--R (- 60a b cosh(x) + (- 72a b + 144a )cosh(x) - 24a b + 24a )sinh(x) +--R + +--R 2 4 2 3 3 +--R - 30a b cosh(x) + (- 48a b + 96a )cosh(x) +--R + +--R 2 3 2 +--R (- 48a b + 48a )cosh(x) + 6a b +--R * +--R sinh(x) +--R + +--R 2 5 2 3 4 2 3 2 +--R - 6a b cosh(x) + (- 12a b + 24a )cosh(x) + (- 24a b + 24a )cosh(x) +--R + +--R 2 2 3 +--R 6a b cosh(x) - 12a b + 16a +--R / +--R 4 6 4 5 4 2 4 4 +--R 6a sinh(x) + 36a cosh(x)sinh(x) + (90a cosh(x) + 18a )sinh(x) +--R + +--R 4 3 4 3 +--R (120a cosh(x) + 72a cosh(x))sinh(x) +--R + +--R 4 4 4 2 4 2 +--R (90a cosh(x) + 108a cosh(x) + 18a )sinh(x) +--R + +--R 4 5 4 3 4 4 6 +--R (36a cosh(x) + 72a cosh(x) + 36a cosh(x))sinh(x) + 6a cosh(x) +--R + +--R 4 4 4 2 4 +--R 18a cosh(x) + 18a cosh(x) + 6a +--R Type: Expression Integer +--E 248 + +--S 249 of 530 +d0546a:= D(m0546a,x) +--R +--R +--R (247) +--R 3 2 4 12 +--R (- 2a b + 2a b)sinh(x) +--R + +--R 3 2 4 4 5 11 +--R ((- 20a b + 20a b)cosh(x) - 4a b + 4a )sinh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 90a b + 90a b)cosh(x) + (- 36a b + 36a )cosh(x) - 12a b +--R + +--R 4 +--R 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 240a b + 240a b)cosh(x) + (- 144a b + 144a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 100a b + 100a b)cosh(x) - 20a b + 20a +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 420a b + 420a b)cosh(x) + (- 336a b + 336a )cosh(x) +--R + +--R 3 2 4 2 4 5 +--R (- 370a b + 370a b)cosh(x) + (- 148a b + 148a )cosh(x) +--R + +--R 3 2 4 +--R - 30a b + 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 504a b + 504a b)cosh(x) + (- 504a b + 504a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 800a b + 800a b)cosh(x) + (- 480a b + 480a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 200a b + 200a b)cosh(x) - 40a b + 40a +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 420a b + 420a b)cosh(x) + (- 504a b + 504a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 1120a b + 1120a b)cosh(x) + (- 896a b + 896a )cosh(x) +--R + +--R 3 2 4 2 4 5 +--R (- 580a b + 580a b)cosh(x) + (- 232a b + 232a )cosh(x) +--R + +--R 3 2 4 +--R - 40a b + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 240a b + 240a b)cosh(x) + (- 336a b + 336a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 1064a b + 1064a b)cosh(x) + (- 1064a b + 1064a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 960a b + 960a b)cosh(x) + (- 576a b + 576a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 200a b + 200a b)cosh(x) - 40a b + 40a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 90a b + 90a b)cosh(x) + (- 144a b + 144a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 700a b + 700a b)cosh(x) + (- 840a b + 840a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 1000a b + 1000a b)cosh(x) + (- 800a b + 800a )cosh(x) +--R + +--R 3 2 4 2 4 5 +--R (- 420a b + 420a b)cosh(x) + (- 168a b + 168a )cosh(x) +--R + +--R 3 2 4 +--R - 30a b + 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 4 9 4 5 8 +--R (- 20a b + 20a b)cosh(x) + (- 36a b + 36a )cosh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 320a b + 320a b)cosh(x) + (- 448a b + 448a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 680a b + 680a b)cosh(x) + (- 680a b + 680a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 480a b + 480a b)cosh(x) + (- 288a b + 288a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 100a b + 100a b)cosh(x) - 20a b + 20a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 10 4 5 9 +--R (- 2a b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 100a b + 100a b)cosh(x) + (- 160a b + 160a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 300a b + 300a b)cosh(x) + (- 360a b + 360a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 320a b + 320a b)cosh(x) + (- 256a b + 256a )cosh(x) +--R + +--R 3 2 4 2 4 5 +--R (- 130a b + 130a b)cosh(x) + (- 52a b + 52a )cosh(x) +--R + +--R 3 2 4 +--R - 12a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 9 4 5 8 +--R (- 20a b + 20a b)cosh(x) + (- 36a b + 36a )cosh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 80a b + 80a b)cosh(x) + (- 112a b + 112a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 120a b + 120a b)cosh(x) + (- 120a b + 120a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 80a b + 80a b)cosh(x) + (- 48a b + 48a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 20a b + 20a b)cosh(x) - 4a b + 4a +--R * +--R sinh(x) +--R + +--R 3 2 4 10 4 5 9 +--R (- 2a b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 10a b + 10a b)cosh(x) + (- 16a b + 16a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 20a b + 20a b)cosh(x) + (- 24a b + 24a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 20a b + 20a b)cosh(x) + (- 16a b + 16a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 4 +--R (- 10a b + 10a b)cosh(x) + (- 4a b + 4a )cosh(x) - 2a b + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 4 12 +--R (- 2a b - 2a b)sinh(x) +--R + +--R 3 2 4 4 5 11 +--R ((- 20a b - 20a b)cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 90a b - 90a b)cosh(x) + (- 36a b - 36a )cosh(x) - 12a b +--R + +--R 4 +--R - 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 240a b - 240a b)cosh(x) + (- 144a b - 144a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 100a b - 100a b)cosh(x) - 20a b - 20a +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 420a b - 420a b)cosh(x) + (- 336a b - 336a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 370a b - 370a b)cosh(x) + (- 148a b - 148a )cosh(x) - 30a b +--R + +--R 4 +--R - 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 504a b - 504a b)cosh(x) + (- 504a b - 504a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 800a b - 800a b)cosh(x) + (- 480a b - 480a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 200a b - 200a b)cosh(x) - 40a b - 40a +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 420a b - 420a b)cosh(x) + (- 504a b - 504a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 1120a b - 1120a b)cosh(x) + (- 896a b - 896a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 580a b - 580a b)cosh(x) + (- 232a b - 232a )cosh(x) - 40a b +--R + +--R 4 +--R - 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 240a b - 240a b)cosh(x) + (- 336a b - 336a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 1064a b - 1064a b)cosh(x) + (- 1064a b - 1064a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 960a b - 960a b)cosh(x) + (- 576a b - 576a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 200a b - 200a b)cosh(x) - 40a b - 40a +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 90a b - 90a b)cosh(x) + (- 144a b - 144a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 700a b - 700a b)cosh(x) + (- 840a b - 840a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 1000a b - 1000a b)cosh(x) + (- 800a b - 800a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 420a b - 420a b)cosh(x) + (- 168a b - 168a )cosh(x) - 30a b +--R + +--R 4 +--R - 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 4 9 4 5 8 +--R (- 20a b - 20a b)cosh(x) + (- 36a b - 36a )cosh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 320a b - 320a b)cosh(x) + (- 448a b - 448a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 680a b - 680a b)cosh(x) + (- 680a b - 680a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 480a b - 480a b)cosh(x) + (- 288a b - 288a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 100a b - 100a b)cosh(x) - 20a b - 20a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 10 4 5 9 +--R (- 2a b - 2a b)cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 100a b - 100a b)cosh(x) + (- 160a b - 160a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 300a b - 300a b)cosh(x) + (- 360a b - 360a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 320a b - 320a b)cosh(x) + (- 256a b - 256a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 +--R (- 130a b - 130a b)cosh(x) + (- 52a b - 52a )cosh(x) - 12a b +--R + +--R 4 +--R - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 9 4 5 8 +--R (- 20a b - 20a b)cosh(x) + (- 36a b - 36a )cosh(x) +--R + +--R 3 2 4 7 4 5 6 +--R (- 80a b - 80a b)cosh(x) + (- 112a b - 112a )cosh(x) +--R + +--R 3 2 4 5 4 5 4 +--R (- 120a b - 120a b)cosh(x) + (- 120a b - 120a )cosh(x) +--R + +--R 3 2 4 3 4 5 2 +--R (- 80a b - 80a b)cosh(x) + (- 48a b - 48a )cosh(x) +--R + +--R 3 2 4 4 5 +--R (- 20a b - 20a b)cosh(x) - 4a b - 4a +--R * +--R sinh(x) +--R + +--R 3 2 4 10 4 5 9 +--R (- 2a b - 2a b)cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 4 8 4 5 7 +--R (- 10a b - 10a b)cosh(x) + (- 16a b - 16a )cosh(x) +--R + +--R 3 2 4 6 4 5 5 +--R (- 20a b - 20a b)cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 3 2 4 4 4 5 3 +--R (- 20a b - 20a b)cosh(x) + (- 16a b - 16a )cosh(x) +--R + +--R 3 2 4 2 4 5 3 2 4 +--R (- 10a b - 10a b)cosh(x) + (- 4a b - 4a )cosh(x) - 2a b - 2a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 3 3 2 4 2 3 12 +--R ((- 2a b + 2a b )sech(x) + 2a b - 2a b )sinh(x) +--R + +--R 2 3 3 2 3 2 4 +--R ((- 20a b + 20a b )cosh(x) - 4a b + 4a b)sech(x) +--R + +--R 4 2 3 2 3 3 2 +--R (20a b - 20a b )cosh(x) + 4a b - 4a b +--R * +--R 11 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 90a b + 90a b )cosh(x) + (- 36a b + 36a b)cosh(x) +--R + +--R 2 3 3 2 +--R - 12a b + 12a b +--R * +--R sech(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (90a b - 90a b )cosh(x) + (36a b - 36a b )cosh(x) + 12a b +--R + +--R 2 3 +--R - 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 2 3 3 2 3 +--R (- 240a b + 240a b )cosh(x) +--R + +--R 3 2 4 2 +--R (- 144a b + 144a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 100a b + 100a b )cosh(x) - 20a b + 20a b +--R * +--R sech(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (240a b - 240a b )cosh(x) + (144a b - 144a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (100a b - 100a b )cosh(x) + 20a b - 20a b +--R * +--R 9 +--R sinh(x) +--R + +--R 2 3 3 2 4 +--R (- 420a b + 420a b )cosh(x) +--R + +--R 3 2 4 3 +--R (- 336a b + 336a b)cosh(x) +--R + +--R 2 3 3 2 2 +--R (- 370a b + 370a b )cosh(x) +--R + +--R 3 2 4 2 3 3 2 +--R (- 148a b + 148a b)cosh(x) - 30a b + 30a b +--R * +--R sech(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (420a b - 420a b )cosh(x) + (336a b - 336a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 +--R (370a b - 370a b )cosh(x) + (148a b - 148a b )cosh(x) +--R + +--R 4 2 3 +--R 30a b - 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 3 2 5 +--R (- 504a b + 504a b )cosh(x) +--R + +--R 3 2 4 4 +--R (- 504a b + 504a b)cosh(x) +--R + +--R 2 3 3 2 3 +--R (- 800a b + 800a b )cosh(x) +--R + +--R 3 2 4 2 +--R (- 480a b + 480a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 200a b + 200a b )cosh(x) - 40a b + 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (504a b - 504a b )cosh(x) + (504a b - 504a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (800a b - 800a b )cosh(x) + (480a b - 480a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (200a b - 200a b )cosh(x) + 40a b - 40a b +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 3 2 6 +--R (- 420a b + 420a b )cosh(x) +--R + +--R 3 2 4 5 +--R (- 504a b + 504a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (- 1120a b + 1120a b )cosh(x) +--R + +--R 3 2 4 3 +--R (- 896a b + 896a b)cosh(x) +--R + +--R 2 3 3 2 2 +--R (- 580a b + 580a b )cosh(x) +--R + +--R 3 2 4 2 3 3 2 +--R (- 232a b + 232a b)cosh(x) - 40a b + 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (420a b - 420a b )cosh(x) + (504a b - 504a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (1120a b - 1120a b )cosh(x) + (896a b - 896a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 +--R (580a b - 580a b )cosh(x) + (232a b - 232a b )cosh(x) +--R + +--R 4 2 3 +--R 40a b - 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 7 +--R (- 240a b + 240a b )cosh(x) +--R + +--R 3 2 4 6 +--R (- 336a b + 336a b)cosh(x) +--R + +--R 2 3 3 2 5 +--R (- 1064a b + 1064a b )cosh(x) +--R + +--R 3 2 4 4 +--R (- 1064a b + 1064a b)cosh(x) +--R + +--R 2 3 3 2 3 +--R (- 960a b + 960a b )cosh(x) +--R + +--R 3 2 4 2 +--R (- 576a b + 576a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 200a b + 200a b )cosh(x) - 40a b + 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (240a b - 240a b )cosh(x) + (336a b - 336a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (1064a b - 1064a b )cosh(x) + (1064a b - 1064a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (960a b - 960a b )cosh(x) + (576a b - 576a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (200a b - 200a b )cosh(x) + 40a b - 40a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 8 +--R (- 90a b + 90a b )cosh(x) +--R + +--R 3 2 4 7 +--R (- 144a b + 144a b)cosh(x) +--R + +--R 2 3 3 2 6 +--R (- 700a b + 700a b )cosh(x) +--R + +--R 3 2 4 5 +--R (- 840a b + 840a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (- 1000a b + 1000a b )cosh(x) +--R + +--R 3 2 4 3 +--R (- 800a b + 800a b)cosh(x) +--R + +--R 2 3 3 2 2 +--R (- 420a b + 420a b )cosh(x) +--R + +--R 3 2 4 2 3 3 2 +--R (- 168a b + 168a b)cosh(x) - 30a b + 30a b +--R * +--R sech(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (90a b - 90a b )cosh(x) + (144a b - 144a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (700a b - 700a b )cosh(x) + (840a b - 840a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (1000a b - 1000a b )cosh(x) + (800a b - 800a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 +--R (420a b - 420a b )cosh(x) + (168a b - 168a b )cosh(x) +--R + +--R 4 2 3 +--R 30a b - 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (- 20a b + 20a b )cosh(x) + (- 36a b + 36a b)cosh(x) +--R + +--R 2 3 3 2 7 +--R (- 320a b + 320a b )cosh(x) +--R + +--R 3 2 4 6 +--R (- 448a b + 448a b)cosh(x) +--R + +--R 2 3 3 2 5 +--R (- 680a b + 680a b )cosh(x) +--R + +--R 3 2 4 4 +--R (- 680a b + 680a b)cosh(x) +--R + +--R 2 3 3 2 3 +--R (- 480a b + 480a b )cosh(x) +--R + +--R 3 2 4 2 +--R (- 288a b + 288a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 100a b + 100a b )cosh(x) - 20a b + 20a b +--R * +--R sech(x) +--R + +--R 4 2 3 9 2 3 3 2 8 +--R (20a b - 20a b )cosh(x) + (36a b - 36a b )cosh(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (320a b - 320a b )cosh(x) + (448a b - 448a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (680a b - 680a b )cosh(x) + (680a b - 680a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (480a b - 480a b )cosh(x) + (288a b - 288a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (100a b - 100a b )cosh(x) + 20a b - 20a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (- 2a b + 2a b )cosh(x) + (- 4a b + 4a b)cosh(x) +--R + +--R 2 3 3 2 8 +--R (- 100a b + 100a b )cosh(x) +--R + +--R 3 2 4 7 +--R (- 160a b + 160a b)cosh(x) +--R + +--R 2 3 3 2 6 +--R (- 300a b + 300a b )cosh(x) +--R + +--R 3 2 4 5 +--R (- 360a b + 360a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (- 320a b + 320a b )cosh(x) +--R + +--R 3 2 4 3 +--R (- 256a b + 256a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 130a b + 130a b )cosh(x) + (- 52a b + 52a b)cosh(x) +--R + +--R 2 3 3 2 +--R - 12a b + 12a b +--R * +--R sech(x) +--R + +--R 4 2 3 10 2 3 3 2 9 +--R (2a b - 2a b )cosh(x) + (4a b - 4a b )cosh(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (100a b - 100a b )cosh(x) + (160a b - 160a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (300a b - 300a b )cosh(x) + (360a b - 360a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (320a b - 320a b )cosh(x) + (256a b - 256a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 +--R (130a b - 130a b )cosh(x) + (52a b - 52a b )cosh(x) +--R + +--R 4 2 3 +--R 12a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (- 20a b + 20a b )cosh(x) + (- 36a b + 36a b)cosh(x) +--R + +--R 2 3 3 2 7 +--R (- 80a b + 80a b )cosh(x) +--R + +--R 3 2 4 6 +--R (- 112a b + 112a b)cosh(x) +--R + +--R 2 3 3 2 5 +--R (- 120a b + 120a b )cosh(x) +--R + +--R 3 2 4 4 +--R (- 120a b + 120a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 80a b + 80a b )cosh(x) + (- 48a b + 48a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 20a b + 20a b )cosh(x) - 4a b + 4a b +--R * +--R sech(x) +--R + +--R 4 2 3 9 2 3 3 2 8 +--R (20a b - 20a b )cosh(x) + (36a b - 36a b )cosh(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (80a b - 80a b )cosh(x) + (112a b - 112a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (120a b - 120a b )cosh(x) + (120a b - 120a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (80a b - 80a b )cosh(x) + (48a b - 48a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (20a b - 20a b )cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (- 2a b + 2a b )cosh(x) + (- 4a b + 4a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (- 10a b + 10a b )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (- 20a b + 20a b )cosh(x) + (- 24a b + 24a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (- 20a b + 20a b )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (- 10a b + 10a b )cosh(x) + (- 4a b + 4a b)cosh(x) - 2a b +--R + +--R 3 2 +--R 2a b +--R * +--R sech(x) +--R + +--R 4 2 3 10 2 3 3 2 9 +--R (2a b - 2a b )cosh(x) + (4a b - 4a b )cosh(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (10a b - 10a b )cosh(x) + (16a b - 16a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (20a b - 20a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (20a b - 20a b )cosh(x) + (16a b - 16a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 2 3 +--R (10a b - 10a b )cosh(x) + (4a b - 4a b )cosh(x) + 2a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 3 3 2 4 2 3 12 +--R ((- 2a b - 2a b )sech(x) + 2a b + 2a b )sinh(x) +--R + +--R 2 3 3 2 3 2 4 +--R ((- 20a b - 20a b )cosh(x) - 4a b - 4a b)sech(x) +--R + +--R 4 2 3 2 3 3 2 +--R (20a b + 20a b )cosh(x) + 4a b + 4a b +--R * +--R 11 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 90a b - 90a b )cosh(x) + (- 36a b - 36a b)cosh(x) +--R + +--R 2 3 3 2 +--R - 12a b - 12a b +--R * +--R sech(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (90a b + 90a b )cosh(x) + (36a b + 36a b )cosh(x) + 12a b +--R + +--R 2 3 +--R 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 240a b - 240a b )cosh(x) + (- 144a b - 144a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 100a b - 100a b )cosh(x) - 20a b - 20a b +--R * +--R sech(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (240a b + 240a b )cosh(x) + (144a b + 144a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (100a b + 100a b )cosh(x) + 20a b + 20a b +--R * +--R 9 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (- 420a b - 420a b )cosh(x) + (- 336a b - 336a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 370a b - 370a b )cosh(x) + (- 148a b - 148a b)cosh(x) +--R + +--R 2 3 3 2 +--R - 30a b - 30a b +--R * +--R sech(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (420a b + 420a b )cosh(x) + (336a b + 336a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (370a b + 370a b )cosh(x) + (148a b + 148a b )cosh(x) + 30a b +--R + +--R 2 3 +--R 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (- 504a b - 504a b )cosh(x) + (- 504a b - 504a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 800a b - 800a b )cosh(x) + (- 480a b - 480a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 200a b - 200a b )cosh(x) - 40a b - 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (504a b + 504a b )cosh(x) + (504a b + 504a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (800a b + 800a b )cosh(x) + (480a b + 480a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (200a b + 200a b )cosh(x) + 40a b + 40a b +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (- 420a b - 420a b )cosh(x) + (- 504a b - 504a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (- 1120a b - 1120a b )cosh(x) +--R + +--R 3 2 4 3 2 3 3 2 2 +--R (- 896a b - 896a b)cosh(x) + (- 580a b - 580a b )cosh(x) +--R + +--R 3 2 4 2 3 3 2 +--R (- 232a b - 232a b)cosh(x) - 40a b - 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (420a b + 420a b )cosh(x) + (504a b + 504a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (1120a b + 1120a b )cosh(x) + (896a b + 896a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (580a b + 580a b )cosh(x) + (232a b + 232a b )cosh(x) + 40a b +--R + +--R 2 3 +--R 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (- 240a b - 240a b )cosh(x) + (- 336a b - 336a b)cosh(x) +--R + +--R 2 3 3 2 5 +--R (- 1064a b - 1064a b )cosh(x) +--R + +--R 3 2 4 4 +--R (- 1064a b - 1064a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 960a b - 960a b )cosh(x) + (- 576a b - 576a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 200a b - 200a b )cosh(x) - 40a b - 40a b +--R * +--R sech(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (240a b + 240a b )cosh(x) + (336a b + 336a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (1064a b + 1064a b )cosh(x) + (1064a b + 1064a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (960a b + 960a b )cosh(x) + (576a b + 576a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (200a b + 200a b )cosh(x) + 40a b + 40a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (- 90a b - 90a b )cosh(x) + (- 144a b - 144a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (- 700a b - 700a b )cosh(x) + (- 840a b - 840a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (- 1000a b - 1000a b )cosh(x) +--R + +--R 3 2 4 3 2 3 3 2 2 +--R (- 800a b - 800a b)cosh(x) + (- 420a b - 420a b )cosh(x) +--R + +--R 3 2 4 2 3 3 2 +--R (- 168a b - 168a b)cosh(x) - 30a b - 30a b +--R * +--R sech(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (90a b + 90a b )cosh(x) + (144a b + 144a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (700a b + 700a b )cosh(x) + (840a b + 840a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (1000a b + 1000a b )cosh(x) + (800a b + 800a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (420a b + 420a b )cosh(x) + (168a b + 168a b )cosh(x) + 30a b +--R + +--R 2 3 +--R 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (- 20a b - 20a b )cosh(x) + (- 36a b - 36a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (- 320a b - 320a b )cosh(x) + (- 448a b - 448a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (- 680a b - 680a b )cosh(x) + (- 680a b - 680a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 480a b - 480a b )cosh(x) + (- 288a b - 288a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 100a b - 100a b )cosh(x) - 20a b - 20a b +--R * +--R sech(x) +--R + +--R 4 2 3 9 2 3 3 2 8 +--R (20a b + 20a b )cosh(x) + (36a b + 36a b )cosh(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (320a b + 320a b )cosh(x) + (448a b + 448a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (680a b + 680a b )cosh(x) + (680a b + 680a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (480a b + 480a b )cosh(x) + (288a b + 288a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (100a b + 100a b )cosh(x) + 20a b + 20a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (- 2a b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (- 100a b - 100a b )cosh(x) + (- 160a b - 160a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (- 300a b - 300a b )cosh(x) + (- 360a b - 360a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (- 320a b - 320a b )cosh(x) + (- 256a b - 256a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 130a b - 130a b )cosh(x) + (- 52a b - 52a b)cosh(x) +--R + +--R 2 3 3 2 +--R - 12a b - 12a b +--R * +--R sech(x) +--R + +--R 4 2 3 10 2 3 3 2 9 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b )cosh(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (100a b + 100a b )cosh(x) + (160a b + 160a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (300a b + 300a b )cosh(x) + (360a b + 360a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (320a b + 320a b )cosh(x) + (256a b + 256a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 +--R (130a b + 130a b )cosh(x) + (52a b + 52a b )cosh(x) + 12a b +--R + +--R 2 3 +--R 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (- 20a b - 20a b )cosh(x) + (- 36a b - 36a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (- 80a b - 80a b )cosh(x) + (- 112a b - 112a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (- 120a b - 120a b )cosh(x) + (- 120a b - 120a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (- 80a b - 80a b )cosh(x) + (- 48a b - 48a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (- 20a b - 20a b )cosh(x) - 4a b - 4a b +--R * +--R sech(x) +--R + +--R 4 2 3 9 2 3 3 2 8 +--R (20a b + 20a b )cosh(x) + (36a b + 36a b )cosh(x) +--R + +--R 4 2 3 7 2 3 3 2 6 +--R (80a b + 80a b )cosh(x) + (112a b + 112a b )cosh(x) +--R + +--R 4 2 3 5 2 3 3 2 4 +--R (120a b + 120a b )cosh(x) + (120a b + 120a b )cosh(x) +--R + +--R 4 2 3 3 2 3 3 2 2 +--R (80a b + 80a b )cosh(x) + (48a b + 48a b )cosh(x) +--R + +--R 4 2 3 2 3 3 2 +--R (20a b + 20a b )cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (- 2a b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (- 10a b - 10a b )cosh(x) + (- 16a b - 16a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (- 20a b - 20a b )cosh(x) + (- 24a b - 24a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (- 20a b - 20a b )cosh(x) + (- 16a b - 16a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (- 10a b - 10a b )cosh(x) + (- 4a b - 4a b)cosh(x) - 2a b +--R + +--R 3 2 +--R - 2a b +--R * +--R sech(x) +--R + +--R 4 2 3 10 2 3 3 2 9 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b )cosh(x) +--R + +--R 4 2 3 8 2 3 3 2 7 +--R (10a b + 10a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 4 2 3 6 2 3 3 2 5 +--R (20a b + 20a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 4 2 3 4 2 3 3 2 3 +--R (20a b + 20a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 4 2 3 2 2 3 3 2 4 2 3 +--R (10a b + 10a b )cosh(x) + (4a b + 4a b )cosh(x) + 2a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 3 3 2 5 4 2 3 3 2 12 +--R ((a b - a b )sech(x) + 2b - 2a b - 2a b + 2a b )sinh(x) +--R + +--R 2 3 3 2 3 2 4 +--R ((10a b - 10a b )cosh(x) + 2a b - 2a b)sech(x) +--R + +--R 5 4 2 3 3 2 4 2 3 3 2 +--R (20b - 20a b - 20a b + 20a b )cosh(x) + 4a b - 4a b - 4a b +--R + +--R 4 5 +--R 8a b - 4a +--R * +--R 11 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (45a b - 45a b )cosh(x) + (18a b - 18a b)cosh(x) + 6a b +--R + +--R 3 2 +--R - 6a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 2 +--R (90b - 90a b - 90a b + 90a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (2b + 34a b - 39a b - 33a b + 72a b - 36a )cosh(x) + 12b +--R + +--R 4 2 3 3 2 +--R - 12a b - 12a b + 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (120a b - 120a b )cosh(x) + (72a b - 72a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (50a b - 50a b )cosh(x) + 10a b - 10a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 3 +--R (240b - 240a b - 240a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (20b + 124a b - 174a b - 114a b + 288a b - 144a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (100b - 96a b - 104a b + 94a b + 6a b)cosh(x) + 20a b +--R + +--R 2 3 3 2 4 5 +--R - 20a b - 20a b + 8a b + 12a +--R * +--R 9 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (210a b - 210a b )cosh(x) + (168a b - 168a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (185a b - 185a b )cosh(x) + (74a b - 74a b)cosh(x) +--R + +--R 2 3 3 2 +--R 15a b - 15a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 4 +--R (420b - 420a b - 420a b + 420a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (90b + 246a b - 471a b - 201a b + 672a b - 336a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (370b - 334a b - 406a b + 316a b + 54a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (10b + 138a b - 163a b - 133a b + 72a b + 76a )cosh(x) + 30b +--R + +--R 4 2 3 3 2 +--R - 30a b - 30a b + 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (252a b - 252a b )cosh(x) + (252a b - 252a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (400a b - 400a b )cosh(x) + (240a b - 240a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (100a b - 100a b )cosh(x) + 20a b - 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 5 +--R (504b - 504a b - 504a b + 504a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (240b + 264a b - 864a b - 144a b + 1008a b - 504a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (800b - 656a b - 944a b + 584a b + 216a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (80b + 400a b - 600a b - 360a b + 288a b + 192a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (200b - 184a b - 216a b + 176a b + 24a b)cosh(x) + 40a b +--R + +--R 2 3 3 2 4 5 +--R - 40a b - 40a b + 48a b - 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (210a b - 210a b )cosh(x) + (252a b - 252a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (560a b - 560a b )cosh(x) + (448a b - 448a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (290a b - 290a b )cosh(x) + (116a b - 116a b)cosh(x) +--R + +--R 2 3 3 2 +--R 20a b - 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 6 +--R (420b - 420a b - 420a b + 420a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (420b + 84a b - 1134a b + 126a b + 1008a b - 504a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (1120b - 784a b - 1456a b + 616a b + 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (280b + 616a b - 1316a b - 476a b + 672a b + 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (580b - 468a b - 692a b + 412a b + 168a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (20b + 212a b - 262a b - 202a b + 240a b - 8a )cosh(x) + 40b +--R + +--R 4 2 3 3 2 +--R - 40a b - 40a b + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (120a b - 120a b )cosh(x) + (168a b - 168a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (532a b - 532a b )cosh(x) + (532a b - 532a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (480a b - 480a b )cosh(x) + (288a b - 288a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (100a b - 100a b )cosh(x) + 20a b - 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 7 +--R (240b - 240a b - 240a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (504b - 168a b - 1092a b + 420a b + 672a b - 336a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (1064b - 560a b - 1568a b + 308a b + 756a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (560b + 504a b - 1904a b - 224a b + 1008a b + 56a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (960b - 624a b - 1296a b + 456a b + 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (120b + 456a b - 756a b - 396a b + 480a b + 96a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (200b - 176a b - 224a b + 164a b + 36a b)cosh(x) + 40a b +--R + +--R 2 3 3 2 4 5 +--R - 40a b - 40a b + 48a b - 8a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (45a b - 45a b )cosh(x) + (72a b - 72a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (350a b - 350a b )cosh(x) + (420a b - 420a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (500a b - 500a b )cosh(x) + (400a b - 400a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (210a b - 210a b )cosh(x) + (84a b - 84a b)cosh(x) +--R + +--R 2 3 3 2 +--R 15a b - 15a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 8 +--R (90b - 90a b - 90a b + 90a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (420b - 276a b - 774a b + 486a b + 288a b - 144a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (700b - 196a b - 1204a b - 56a b + 756a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (700b + 140a b - 1890a b + 210a b + 1008a b - 168a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (1000b - 440a b - 1560a b + 160a b + 840a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (300b + 500a b - 1250a b - 350a b + 480a b + 320a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (420b - 300a b - 540a b + 240a b + 180a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (20b + 148a b - 198a b - 138a b + 240a b - 72a )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R 30b - 30a b - 30a b + 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (10a b - 10a b )cosh(x) + (18a b - 18a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (160a b - 160a b )cosh(x) + (224a b - 224a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (340a b - 340a b )cosh(x) + (340a b - 340a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (240a b - 240a b )cosh(x) + (144a b - 144a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (50a b - 50a b )cosh(x) + 10a b - 10a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 9 +--R (20b - 20a b - 20a b + 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (240b - 204a b - 396a b + 324a b + 72a b - 36a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (320b + 16a b - 656a b - 184a b + 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (560b - 112a b - 1288a b + 392a b + 672a b - 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (680b - 120a b - 1240a b - 160a b + 840a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (400b + 280a b - 1280a b - 80a b + 240a b + 440a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (480b - 240a b - 720a b + 120a b + 360a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (80b + 208a b - 408a b - 168a b + 480a b - 192a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (100b - 84a b - 116a b + 76a b + 24a b)cosh(x) + 20a b +--R + +--R 2 3 3 2 4 5 +--R - 20a b - 20a b + 8a b + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (a b - a b )cosh(x) + (2a b - 2a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (50a b - 50a b )cosh(x) + (80a b - 80a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (150a b - 150a b )cosh(x) + (180a b - 180a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (160a b - 160a b )cosh(x) + (128a b - 128a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (65a b - 65a b )cosh(x) + (26a b - 26a b)cosh(x) + 6a b +--R + +--R 3 2 +--R - 6a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 10 +--R (2b - 2a b - 2a b + 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (90b - 86a b - 139a b + 131a b + 8a b - 4a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (100b + 44a b - 244a b - 116a b + 216a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (280b - 120a b - 580a b + 260a b + 288a b - 128a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (300b + 36a b - 636a b - 204a b + 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (300b + 60a b - 810a b + 90a b + 48a b + 312a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (320b - 80a b - 560a b - 40a b + 360a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (120b + 136a b - 436a b - 76a b + 480a b - 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (130b - 82a b - 178a b + 58a b + 72a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (10b + 42a b - 67a b - 37a b + 8a b + 44a )cosh(x) + 12b +--R + +--R 4 2 3 3 2 +--R - 12a b - 12a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (10a b - 10a b )cosh(x) + (18a b - 18a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (40a b - 40a b )cosh(x) + (56a b - 56a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (60a b - 60a b )cosh(x) + (60a b - 60a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (40a b - 40a b )cosh(x) + (24a b - 24a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (10a b - 10a b )cosh(x) + 2a b - 2a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 10 +--R (20b - 20a b - 30a b + 30a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (20b + 16a b - 56a b - 34a b + 54a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (80b - 44a b - 156a b + 84a b + 72a b - 36a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (80b + 32a b - 192a b - 88a b + 168a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 6 +--R (120b - 8a b - 292a b + 68a b + 112a )cosh(x) +--R + +--R 5 2 3 3 2 4 5 +--R (120b - 240a b - 60a b + 180a b)cosh(x) +--R + +--R 5 4 2 3 4 5 4 +--R (80b + 40a b - 240a b + 240a b - 120a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (80b - 32a b - 128a b + 8a b + 72a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 2 +--R (20b + 28a b - 78a b - 18a b + 48a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 2 3 +--R (20b - 16a b - 24a b + 14a b + 6a b)cosh(x) + 4a b - 4a b +--R + +--R 3 2 4 5 +--R - 4a b + 8a b - 4a +--R * +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (a b - a b )cosh(x) + (2a b - 2a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (5a b - 5a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (10a b - 10a b )cosh(x) + (12a b - 12a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (10a b - 10a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 3 2 +--R (5a b - 5a b )cosh(x) + (2a b - 2a b)cosh(x) + a b - a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 11 +--R (2b - 2a b - 3a b + 3a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (2b + 2a b - 6a b - 4a b + 6a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (10b - 6a b - 19a b + 11a b + 8a b - 4a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (10b + 6a b - 26a b - 14a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 7 +--R (20b - 4a b - 46a b + 14a b + 16a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (20b + 4a b - 44a b - 16a b + 36a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (20b + 4a b - 54a b + 6a b + 48a b - 24a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (20b - 4a b - 36a b - 4a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 3 +--R (10b + 6a b - 31a b - a b + 16a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (10b - 6a b - 14a b + 4a b + 6a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 4 +--R (2b + 2a b - 7a b - a b + 8a b - 4a )cosh(x) + 2b - 2a b +--R + +--R 2 3 3 2 +--R - 2a b + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 3 3 2 5 4 2 3 3 2 12 +--R ((a b + a b )sech(x) - 2b - 2a b + 2a b + 2a b )sinh(x) +--R + +--R 2 3 3 2 3 2 4 +--R ((10a b + 10a b )cosh(x) + 2a b + 2a b)sech(x) +--R + +--R 5 4 2 3 3 2 4 2 3 3 2 +--R (- 20b - 20a b + 20a b + 20a b )cosh(x) - 4a b - 4a b + 4a b +--R + +--R 4 5 +--R 8a b + 4a +--R * +--R 11 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (45a b + 45a b )cosh(x) + (18a b + 18a b)cosh(x) + 6a b +--R + +--R 3 2 +--R 6a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 2 +--R (- 90b - 90a b + 90a b + 90a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (2b - 34a b - 39a b + 33a b + 72a b + 36a )cosh(x) - 12b +--R + +--R 4 2 3 3 2 +--R - 12a b + 12a b + 12a b +--R * +--R 10 +--R sinh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (120a b + 120a b )cosh(x) + (72a b + 72a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (50a b + 50a b )cosh(x) + 10a b + 10a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 240b - 240a b + 240a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (20b - 124a b - 174a b + 114a b + 288a b + 144a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 2 3 +--R (- 100b - 96a b + 104a b + 94a b - 6a b)cosh(x) - 20a b - 20a b +--R + +--R 3 2 4 5 +--R 20a b + 8a b - 12a +--R * +--R 9 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (210a b + 210a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (185a b + 185a b )cosh(x) + (74a b + 74a b)cosh(x) + 15a b +--R + +--R 3 2 +--R 15a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 420b - 420a b + 420a b + 420a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (90b - 246a b - 471a b + 201a b + 672a b + 336a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 370b - 334a b + 406a b + 316a b - 54a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (10b - 138a b - 163a b + 133a b + 72a b - 76a )cosh(x) - 30b +--R + +--R 4 2 3 3 2 +--R - 30a b + 30a b + 30a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (252a b + 252a b )cosh(x) + (252a b + 252a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (400a b + 400a b )cosh(x) + (240a b + 240a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (100a b + 100a b )cosh(x) + 20a b + 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 504b - 504a b + 504a b + 504a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (240b - 264a b - 864a b + 144a b + 1008a b + 504a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 800b - 656a b + 944a b + 584a b - 216a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (80b - 400a b - 600a b + 360a b + 288a b - 192a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 200b - 184a b + 216a b + 176a b - 24a b)cosh(x) - 40a b +--R + +--R 2 3 3 2 4 5 +--R - 40a b + 40a b + 48a b + 8a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (210a b + 210a b )cosh(x) + (252a b + 252a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (560a b + 560a b )cosh(x) + (448a b + 448a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (290a b + 290a b )cosh(x) + (116a b + 116a b)cosh(x) + 20a b +--R + +--R 3 2 +--R 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 420b - 420a b + 420a b + 420a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (420b - 84a b - 1134a b - 126a b + 1008a b + 504a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 1120b - 784a b + 1456a b + 616a b - 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (280b - 616a b - 1316a b + 476a b + 672a b - 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 580b - 468a b + 692a b + 412a b - 168a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (20b - 212a b - 262a b + 202a b + 240a b + 8a )cosh(x) - 40b +--R + +--R 4 2 3 3 2 +--R - 40a b + 40a b + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (120a b + 120a b )cosh(x) + (168a b + 168a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (532a b + 532a b )cosh(x) + (532a b + 532a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (480a b + 480a b )cosh(x) + (288a b + 288a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (100a b + 100a b )cosh(x) + 20a b + 20a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 240b - 240a b + 240a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (504b + 168a b - 1092a b - 420a b + 672a b + 336a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 1064b - 560a b + 1568a b + 308a b - 756a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (560b - 504a b - 1904a b + 224a b + 1008a b - 56a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 960b - 624a b + 1296a b + 456a b - 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (120b - 456a b - 756a b + 396a b + 480a b - 96a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 200b - 176a b + 224a b + 164a b - 36a b)cosh(x) - 40a b +--R + +--R 2 3 3 2 4 5 +--R - 40a b + 40a b + 48a b + 8a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (45a b + 45a b )cosh(x) + (72a b + 72a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (350a b + 350a b )cosh(x) + (420a b + 420a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (500a b + 500a b )cosh(x) + (400a b + 400a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 +--R (210a b + 210a b )cosh(x) + (84a b + 84a b)cosh(x) + 15a b +--R + +--R 3 2 +--R 15a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 90b - 90a b + 90a b + 90a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (420b + 276a b - 774a b - 486a b + 288a b + 144a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 700b - 196a b + 1204a b - 56a b - 756a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (700b - 140a b - 1890a b - 210a b + 1008a b + 168a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 1000b - 440a b + 1560a b + 160a b - 840a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (300b - 500a b - 1250a b + 350a b + 480a b - 320a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 420b - 300a b + 540a b + 240a b - 180a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (20b - 148a b - 198a b + 138a b + 240a b + 72a )cosh(x) - 30b +--R + +--R 4 2 3 3 2 +--R - 30a b + 30a b + 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (10a b + 10a b )cosh(x) + (18a b + 18a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (160a b + 160a b )cosh(x) + (224a b + 224a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (340a b + 340a b )cosh(x) + (340a b + 340a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (240a b + 240a b )cosh(x) + (144a b + 144a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (50a b + 50a b )cosh(x) + 10a b + 10a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 20b - 20a b + 20a b + 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (240b + 204a b - 396a b - 324a b + 72a b + 36a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 320b + 16a b + 656a b - 184a b - 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (560b + 112a b - 1288a b - 392a b + 672a b + 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 680b - 120a b + 1240a b - 160a b - 840a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (400b - 280a b - 1280a b + 80a b + 240a b - 440a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 480b - 240a b + 720a b + 120a b - 360a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (80b - 208a b - 408a b + 168a b + 480a b + 192a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 100b - 84a b + 116a b + 76a b - 24a b)cosh(x) - 20a b +--R + +--R 2 3 3 2 4 5 +--R - 20a b + 20a b + 8a b - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 10 3 2 4 9 +--R (a b + a b )cosh(x) + (2a b + 2a b)cosh(x) +--R + +--R 2 3 3 2 8 3 2 4 7 +--R (50a b + 50a b )cosh(x) + (80a b + 80a b)cosh(x) +--R + +--R 2 3 3 2 6 3 2 4 5 +--R (150a b + 150a b )cosh(x) + (180a b + 180a b)cosh(x) +--R + +--R 2 3 3 2 4 3 2 4 3 +--R (160a b + 160a b )cosh(x) + (128a b + 128a b)cosh(x) +--R + +--R 2 3 3 2 2 3 2 4 2 3 3 2 +--R (65a b + 65a b )cosh(x) + (26a b + 26a b)cosh(x) + 6a b + 6a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 2b - 2a b + 2a b + 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (90b + 86a b - 139a b - 131a b + 8a b + 4a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 100b + 44a b + 244a b - 116a b - 216a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (280b + 120a b - 580a b - 260a b + 288a b + 128a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 300b + 36a b + 636a b - 204a b - 504a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (300b - 60a b - 810a b - 90a b + 48a b - 312a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 320b - 80a b + 560a b - 40a b - 360a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (120b - 136a b - 436a b + 76a b + 480a b + 224a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 130b - 82a b + 178a b + 58a b - 72a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (10b - 42a b - 67a b + 37a b + 8a b - 44a )cosh(x) - 12b +--R + +--R 4 2 3 3 2 +--R - 12a b + 12a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 9 3 2 4 8 +--R (10a b + 10a b )cosh(x) + (18a b + 18a b)cosh(x) +--R + +--R 2 3 3 2 7 3 2 4 6 +--R (40a b + 40a b )cosh(x) + (56a b + 56a b)cosh(x) +--R + +--R 2 3 3 2 5 3 2 4 4 +--R (60a b + 60a b )cosh(x) + (60a b + 60a b)cosh(x) +--R + +--R 2 3 3 2 3 3 2 4 2 +--R (40a b + 40a b )cosh(x) + (24a b + 24a b)cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (10a b + 10a b )cosh(x) + 2a b + 2a b +--R * +--R sech(x) +--R + +--R 5 4 2 3 3 2 10 +--R (20b + 20a b - 30a b - 30a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (- 20b + 16a b + 56a b - 34a b - 54a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (80b + 44a b - 156a b - 84a b + 72a b + 36a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 80b + 32a b + 192a b - 88a b - 168a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 6 +--R (120b + 8a b - 292a b - 68a b - 112a )cosh(x) +--R + +--R 5 2 3 3 2 4 5 +--R (- 120b + 240a b - 60a b - 180a b)cosh(x) +--R + +--R 5 4 2 3 4 5 4 +--R (80b - 40a b - 240a b + 240a b + 120a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 80b - 32a b + 128a b + 8a b - 72a b)cosh(x) +--R + +--R 5 4 2 3 3 2 5 2