diff --git a/changelog b/changelog index a3cb399..f6e1eb0 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +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 20100614 tpd src/axiom-website/patches.html 20100614.02.tpd.patch 20100614 tpd src/input/Makefile rule-based hyper integration 20100614 tpd src/input/richhyper300-399.input rule-based hyper integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 3df61f8..e72e233 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2896,6 +2896,8 @@ src/input/richhyper100-199.input rule-based hyper integration
src/input/richhyper200-299.input rule-based hyper integration
20100614.02.tpd.patch src/input/richhyper300-399.input rule-based hyper integration
+20100615.01.tpd.patch +src/input/richhyper400-499.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 6c2cf17..606d076 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -379,6 +379,7 @@ REGRES= ackermann.regress \ richhyper100-199.regress \ richhyper200-299.regress \ richhyper300-399.regress \ + richhyper400-499.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -712,6 +713,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper100-199.input \ ${OUT}/richhyper200-299.input \ ${OUT}/richhyper300-399.input \ + ${OUT}/richhyper400-499.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1074,6 +1076,7 @@ DOCFILES= \ ${DOC}/richhyper100-199.input.dvi \ ${DOC}/richhyper200-299.input.dvi \ ${DOC}/richhyper300-399.input.dvi \ + ${DOC}/richhyper400-499.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper400-499.input.pamphlet b/src/input/richhyper400-499.input.pamphlet new file mode 100644 index 0000000..3d04ba8 --- /dev/null +++ b/src/input/richhyper400-499.input.pamphlet @@ -0,0 +1,38935 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper400-499.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper400-499.output +)spool richhyper400-499.output +)set message auto off +)clear all + +--S 1 of 526 +t0400:= 1/(a+b*sech(x)) +--R +--R +--R 1 +--R (1) ------------- +--R b sech(x) + a +--R Type: Expression Integer +--E 1 + +--S 2 of 526 +r0400:= x/a-2*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a/(a^2-b^2)^(1/2) +--R +--R +--R x +--R (b - a)tanh(-) +---------+ +--R 2 | 2 2 +--R 2b atan(--------------) + x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (2) --------------------------------------- +--R +---------+ +--R | 2 2 +--R a\|- b + a +--R Type: Expression Integer +--E 2 + +--S 3 of 526 +a0400:= integrate(t0400,x) +--R +--R +--R (3) +--R [ +--R b +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) +--R + +--R 2b cosh(x) + a +--R + +--R +-------+ +--R | 2 2 +--R x\|b - a +--R / +--R +-------+ +--R | 2 2 +--R a\|b - a +--R , +--R +---------+ +--R | 2 2 +---------+ +--R (a sinh(x) + a cosh(x) + b)\|- b + a | 2 2 +--R 2b atan(---------------------------------------) + x\|- b + a +--R 2 2 +--R b - a +--R ----------------------------------------------------------------] +--R +---------+ +--R | 2 2 +--R a\|- b + a +--R Type: Union(List Expression Integer,...) +--E 3 + +--S 4 of 526 +m0400a:= a0400.1-r0400 +--R +--R +--R (4) +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R a +--R + +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R - 2b\|b - a atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R a\|- b + a \|b - a +--R Type: Expression Integer +--E 4 + +--S 5 of 526 +d0400a:= D(m0400a,x) +--R +--R +--R (5) +--R 2 2 +--R (b sinh(x) + (2b cosh(x) + 2b)sinh(x) + b cosh(x) + 2b cosh(x) + b) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 +--R - b sinh(x) + (- 2b cosh(x) + 2b)sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 2 2 2 2 +--R (a b - a )sinh(x) + ((2a b - 2a )cosh(x) + 2b - 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R (a b - a )cosh(x) + (2b - 2a b)cosh(x) + a b - a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 +--R (- a b - a )sinh(x) + ((- 2a b - 2a )cosh(x) - 2b - 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R (- a b - a )cosh(x) + (- 2b - 2a b)cosh(x) - a b - a +--R Type: Expression Integer +--E 5 + +--S 6 of 526 +m0400b:= a0400.2-r0400 +--R +--R +--R (6) +--R +---------+ x +--R | 2 2 (b - a)tanh(-) +--R (a sinh(x) + a cosh(x) + b)\|- b + a 2 +--R 2b atan(---------------------------------------) - 2b atan(--------------) +--R 2 2 +---------+ +--R b - a | 2 2 +--R \|- b + a +--R -------------------------------------------------------------------------- +--R +---------+ +--R | 2 2 +--R a\|- b + a +--R Type: Expression Integer +--E 6 + +--S 7 of 526 +d0400b:= D(m0400b,x) +--R +--R +--R (7) +--R 2 2 +--R (b sinh(x) + (2b cosh(x) + 2b)sinh(x) + b cosh(x) + 2b cosh(x) + b) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 +--R - b sinh(x) + (- 2b cosh(x) + 2b)sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 2 2 2 2 +--R (a b - a )sinh(x) + ((2a b - 2a )cosh(x) + 2b - 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R (a b - a )cosh(x) + (2b - 2a b)cosh(x) + a b - a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 +--R (- a b - a )sinh(x) + ((- 2a b - 2a )cosh(x) - 2b - 2a b)sinh(x) +--R + +--R 2 2 2 2 +--R (- a b - a )cosh(x) + (- 2b - 2a b)cosh(x) - a b - a +--R Type: Expression Integer +--E 7 + +--S 8 of 526 +t0401:= 1/(a+b*sech(x))^2 +--R +--R +--R 1 +--R (8) ------------------------------ +--R 2 2 2 +--R b sech(x) + 2a b sech(x) + a +--R Type: Expression Integer +--E 8 + +--S 9 of 526 +r0401:= x/a^2-2*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(3/2)-4*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(1/2)+b^2*sinh(x)/a/(a^2-b^2)/(b+a*cosh(x)) +--R +--R +--R (9) +--R x +--R (b - a)tanh(-) +--R 3 3 4 2 2 2 +--R ((2a b - 4a b)cosh(x) + 2b - 4a b )atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 3 3 2 | 2 2 +--R (- a b sinh(x) + (a b - a )x cosh(x) + (b - a b)x)\|- b + a +--R / +--R +---------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )cosh(x) + a b - a b)\|- b + a +--R Type: Expression Integer +--E 9 + +--S 10 of 526 +a0401:= integrate(t0401,x) +--R +--R +--R (10) +--R [ +--R 3 3 2 +--R (a b - 2a b)sinh(x) +--R + +--R 3 3 4 2 2 +--R ((2a b - 4a b)cosh(x) + 2b - 4a b )sinh(x) +--R + +--R 3 3 2 4 2 2 3 3 +--R (a b - 2a b)cosh(x) + (2b - 4a b )cosh(x) + a b - 2a b +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) +--R + +--R 2b cosh(x) + a +--R + +--R 2 3 2 +--R (a b - a )x sinh(x) +--R + +--R 2 3 3 2 3 +--R ((2a b - 2a )x cosh(x) + (2b - 2a b)x + 2b )sinh(x) +--R + +--R 2 3 2 3 2 3 2 3 +--R (a b - a )x cosh(x) + ((2b - 2a b)x + 2b )cosh(x) + (a b - a )x +--R + +--R 2 +--R 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 3 2 5 2 3 2 5 2 3 4 +--R (a b - a )sinh(x) + ((2a b - 2a )cosh(x) + 2a b - 2a b)sinh(x) +--R + +--R 3 2 5 2 2 3 4 3 2 5 +--R (a b - a )cosh(x) + (2a b - 2a b)cosh(x) + a b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 3 3 2 +--R (2a b - 4a b)sinh(x) +--R + +--R 3 3 4 2 2 +--R ((4a b - 8a b)cosh(x) + 4b - 8a b )sinh(x) +--R + +--R 3 3 2 4 2 2 3 3 +--R (2a b - 4a b)cosh(x) + (4b - 8a b )cosh(x) + 2a b - 4a b +--R * +--R +---------+ +--R | 2 2 +--R (a sinh(x) + a cosh(x) + b)\|- b + a +--R atan(---------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 3 2 +--R (a b - a )x sinh(x) +--R + +--R 2 3 3 2 3 +--R ((2a b - 2a )x cosh(x) + (2b - 2a b)x + 2b )sinh(x) +--R + +--R 2 3 2 3 2 3 2 3 +--R (a b - a )x cosh(x) + ((2b - 2a b)x + 2b )cosh(x) + (a b - a )x +--R + +--R 2 +--R 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 2 5 2 3 2 5 2 3 4 +--R (a b - a )sinh(x) + ((2a b - 2a )cosh(x) + 2a b - 2a b)sinh(x) +--R + +--R 3 2 5 2 2 3 4 3 2 5 +--R (a b - a )cosh(x) + (2a b - 2a b)cosh(x) + a b - a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 10 + +--S 11 of 526 +m0401a:= a0401.1-r0401 +--R +--R +--R (11) +--R 2 3 4 4 3 2 2 +--R ((a b - 2a b)cosh(x) + a b - 2a b )sinh(x) +--R + +--R 2 3 4 2 4 3 2 5 2 3 +--R ((2a b - 4a b)cosh(x) + (4a b - 8a b )cosh(x) + 2b - 4a b ) +--R * +--R sinh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (a b - 2a b)cosh(x) + (3a b - 6a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (2b - 3a b - 2a b)cosh(x) + a b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R a +--R + +--R 2 3 4 4 3 2 2 +--R ((- 2a b + 4a b)cosh(x) - 2a b + 4a b )sinh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (- 4a b + 8a b)cosh(x) + (- 8a b + 16a b )cosh(x) - 4b +--R + +--R 2 3 +--R 8a b +--R * +--R sinh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (- 2a b + 4a b)cosh(x) + (- 6a b + 12a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (- 4b + 6a b + 4a b)cosh(x) - 2a b + 4a b +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 3 2 2 3 2 +--R a b sinh(x) + (2a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 2 2 3 4 2 2 3 2 +--R (a b cosh(x) + 4a b cosh(x) + 2b + a b )sinh(x) + 2a b cosh(x) +--R + +--R 4 2 2 3 +--R (2b + 2a b )cosh(x) + 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 4 2 6 3 3 5 2 +--R ((a b - a )cosh(x) + a b - a b)sinh(x) +--R + +--R 4 2 6 2 3 3 5 2 4 4 2 +--R ((2a b - 2a )cosh(x) + (4a b - 4a b)cosh(x) + 2a b - 2a b )sinh(x) +--R + +--R 4 2 6 3 3 3 5 2 +--R (a b - a )cosh(x) + (3a b - 3a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (2a b - a b - a )cosh(x) + a b - a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 11 + +--S 12 of 526 +d0401a:= D(m0401a,x) +--R +--R +--R (12) +--R 3 3 4 2 6 +--R (- a b + a b )sinh(x) +--R + +--R 3 3 4 2 2 4 3 3 5 +--R ((- 4a b + 4a b )cosh(x) - 4a b + 4a b )sinh(x) +--R + +--R 3 3 4 2 5 2 +--R (- 4a b + 5a b - 2a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 3 3 4 2 +--R (- 9a b + 11a b - 4a b )cosh(x) - 3a b + 4a b - 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 5 3 2 4 3 3 4 2 5 2 +--R (4a b - 8a b)cosh(x) + (4a b + 8a b - 20a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 +--R (12a b - 20a b - 4a b )cosh(x) + 4a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 5 4 +--R (11a b - 5a b - 12a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (26a b - 2a b - 36a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (18a b + 16a b - 38a b - 28a b - 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 5 +--R (4b + 16a b - 18a b - 18a b - 8a b )cosh(x) + 4b - 2a b +--R + +--R 2 4 3 3 4 2 +--R - 4a b - 5a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 5 5 +--R (8a b - 4a b - 8a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (24a b - 4a b - 28a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (24a b + 12a b - 32a b - 36a b - 8a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (8b + 20a b - 12a b - 32a b - 20a b - 4a b)cosh(x) +--R + +--R 6 2 4 3 3 4 2 5 2 4 3 3 +--R (8b - 4a b - 16a b - 8a b )cosh(x) + 4a b - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 2 5 6 2 4 3 3 4 2 5 5 +--R (2a b - a b - 2a b)cosh(x) + (7a b - a b - 8a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (9a b + 4a b - 10a b - 14a b - 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (4b + 8a b - 2a b - 14a b - 12a b - 4a b)cosh(x) +--R + +--R 6 5 3 3 4 2 5 2 +--R (4b + 2a b - 10a b - 9a b - 2a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 3 +--R (4a b - a b - 5a b - 4a b )cosh(x) + a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 3 4 2 6 3 3 4 2 2 4 3 3 5 +--R (a b + a b )sinh(x) + ((4a b + 4a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 3 3 4 2 5 2 2 4 3 3 4 2 +--R (4a b + 5a b + 2a b)cosh(x) + (9a b + 11a b + 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R 3a b + 4a b + 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 5 3 2 4 3 3 4 2 5 2 +--R (- 4a b + 8a b)cosh(x) + (- 4a b + 8a b + 20a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 +--R (12a b + 20a b - 4a b )cosh(x) + 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 5 4 +--R (- 11a b - 5a b + 12a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 26a b - 2a b + 36a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 18a b + 16a b + 38a b - 28a b + 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 5 +--R (- 4b + 16a b + 18a b - 18a b + 8a b )cosh(x) + 4b + 2a b +--R + +--R 2 4 3 3 4 2 +--R - 4a b + 5a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 5 5 +--R (- 8a b - 4a b + 8a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 24a b - 4a b + 28a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 24a b + 12a b + 32a b - 36a b + 8a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 8b + 20a b + 12a b - 32a b + 20a b - 4a b)cosh(x) +--R + +--R 6 2 4 3 3 4 2 5 2 4 3 3 +--R (8b - 4a b + 16a b - 8a b )cosh(x) + 4a b + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 2 5 6 2 4 3 3 4 2 5 5 +--R (- 2a b - a b + 2a b)cosh(x) + (- 7a b - a b + 8a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 9a b + 4a b + 10a b - 14a b + 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (- 4b + 8a b + 2a b - 14a b + 12a b - 4a b)cosh(x) +--R + +--R 6 5 3 3 4 2 5 2 +--R (4b - 2a b + 10a b - 9a b + 2a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 3 +--R (4a b + a b - 5a b + 4a b )cosh(x) - a b + 2a b +--R / +--R 5 3 6 2 7 8 2 +--R (a b - a b - a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 5 4 4 5 3 6 2 +--R (2a b - 2a b - 2a b + 2a b)cosh(x) + a b - a b - a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 3 +--R (4a b - 4a b - 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 +--R (12a b - 12a b - 12a b + 12a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 6 3 5 +--R (12a b - 12a b - 12a b + 12a b )cosh(x) + 4a b - 4a b +--R + +--R 4 4 5 3 +--R - 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 4 +--R (6a b - 6a b - 6a b + 6a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (24a b - 24a b - 24a b + 24a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (34a b - 34a b - 32a b + 32a b - 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 7 +--R (20a b - 20a b - 16a b + 16a b - 4a b + 4a b)cosh(x) + 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b - 2a b + 2a b - 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 5 +--R (4a b - 4a b - 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (20a b - 20a b - 20a b + 20a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (36a b - 36a b - 32a b + 32a b - 4a b + 4a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (28a b - 28a b - 16a b + 16a b - 12a b + 12a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 6 +--R (8a b - 8a b + 4a b - 4a b - 12a b + 12a b )cosh(x) + 4a b +--R + +--R 3 5 4 4 5 3 +--R - 4a b - 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 3 6 2 7 8 6 +--R (a b - a b - a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (6a b - 6a b - 6a b + 6a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (13a b - 13a b - 11a b + 11a b - 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (12a b - 12a b - 4a b + 4a b - 8a b + 8a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (4a b - 4a b + 6a b - 6a b - 9a b + 9a b - a b + a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 5 4 4 +--R (4a b - 4a b - 2a b + 2a b - 2a b + 2a b)cosh(x) + a b - a b +--R + +--R 5 3 6 2 +--R - a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 3 6 2 7 8 2 +--R (- a b - a b + a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 5 4 4 5 3 6 2 +--R (- 2a b - 2a b + 2a b + 2a b)cosh(x) - a b - a b + a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 3 +--R (- 4a b - 4a b + 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 +--R (- 12a b - 12a b + 12a b + 12a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 6 3 5 4 4 +--R (- 12a b - 12a b + 12a b + 12a b )cosh(x) - 4a b - 4a b + 4a b +--R + +--R 5 3 +--R 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 4 +--R (- 6a b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (- 24a b - 24a b + 24a b + 24a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (- 34a b - 34a b + 32a b + 32a b + 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 7 +--R (- 20a b - 20a b + 16a b + 16a b + 4a b + 4a b)cosh(x) - 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b + 2a b + 2a b + 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 5 +--R (- 4a b - 4a b + 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (- 20a b - 20a b + 20a b + 20a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (- 36a b - 36a b + 32a b + 32a b + 4a b + 4a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 28a b - 28a b + 16a b + 16a b + 12a b + 12a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 6 +--R (- 8a b - 8a b - 4a b - 4a b + 12a b + 12a b )cosh(x) - 4a b +--R + +--R 3 5 4 4 5 3 +--R - 4a b + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 3 6 2 7 8 6 +--R (- a b - a b + a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (- 6a b - 6a b + 6a b + 6a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (- 13a b - 13a b + 11a b + 11a b + 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (- 12a b - 12a b + 4a b + 4a b + 8a b + 8a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (- 4a b - 4a b - 6a b - 6a b + 9a b + 9a b + a b + a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 5 4 4 +--R (- 4a b - 4a b + 2a b + 2a b + 2a b + 2a b)cosh(x) - a b - a b +--R + +--R 5 3 6 2 +--R a b + a b +--R Type: Expression Integer +--E 12 + +--S 13 of 526 +m0401b:= a0401.2-r0401 +--R +--R +--R (13) +--R 2 3 4 4 3 2 2 +--R ((2a b - 4a b)cosh(x) + 2a b - 4a b )sinh(x) +--R + +--R 2 3 4 2 4 3 2 5 2 3 +--R ((4a b - 8a b)cosh(x) + (8a b - 16a b )cosh(x) + 4b - 8a b ) +--R * +--R sinh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (2a b - 4a b)cosh(x) + (6a b - 12a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (4b - 6a b - 4a b)cosh(x) + 2a b - 4a b +--R * +--R +---------+ +--R | 2 2 +--R (a sinh(x) + a cosh(x) + b)\|- b + a +--R atan(---------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 3 4 4 3 2 2 +--R ((- 2a b + 4a b)cosh(x) - 2a b + 4a b )sinh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (- 4a b + 8a b)cosh(x) + (- 8a b + 16a b )cosh(x) - 4b +--R + +--R 2 3 +--R 8a b +--R * +--R sinh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (- 2a b + 4a b)cosh(x) + (- 6a b + 12a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (- 4b + 6a b + 4a b)cosh(x) - 2a b + 4a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 3 2 2 3 2 +--R a b sinh(x) + (2a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 2 2 3 4 2 2 3 2 +--R (a b cosh(x) + 4a b cosh(x) + 2b + a b )sinh(x) + 2a b cosh(x) +--R + +--R 4 2 2 3 +--R (2b + 2a b )cosh(x) + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 4 2 6 3 3 5 2 +--R ((a b - a )cosh(x) + a b - a b)sinh(x) +--R + +--R 4 2 6 2 3 3 5 2 4 4 2 +--R ((2a b - 2a )cosh(x) + (4a b - 4a b)cosh(x) + 2a b - 2a b )sinh(x) +--R + +--R 4 2 6 3 3 3 5 2 +--R (a b - a )cosh(x) + (3a b - 3a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (2a b - a b - a )cosh(x) + a b - a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 13 + +--S 14 of 526 +d0401b:= D(m0401b,x) +--R +--R +--R (14) +--R 3 3 4 2 6 +--R (- a b + a b )sinh(x) +--R + +--R 3 3 4 2 2 4 3 3 5 +--R ((- 4a b + 4a b )cosh(x) - 4a b + 4a b )sinh(x) +--R + +--R 3 3 4 2 5 2 +--R (- 4a b + 5a b - 2a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 3 3 4 2 +--R (- 9a b + 11a b - 4a b )cosh(x) - 3a b + 4a b - 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 5 3 2 4 3 3 4 2 5 2 +--R (4a b - 8a b)cosh(x) + (4a b + 8a b - 20a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 +--R (12a b - 20a b - 4a b )cosh(x) + 4a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 5 4 +--R (11a b - 5a b - 12a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (26a b - 2a b - 36a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (18a b + 16a b - 38a b - 28a b - 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 5 +--R (4b + 16a b - 18a b - 18a b - 8a b )cosh(x) + 4b - 2a b +--R + +--R 2 4 3 3 4 2 +--R - 4a b - 5a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 5 5 +--R (8a b - 4a b - 8a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (24a b - 4a b - 28a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (24a b + 12a b - 32a b - 36a b - 8a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (8b + 20a b - 12a b - 32a b - 20a b - 4a b)cosh(x) +--R + +--R 6 2 4 3 3 4 2 5 2 4 3 3 +--R (8b - 4a b - 16a b - 8a b )cosh(x) + 4a b - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 2 5 6 2 4 3 3 4 2 5 5 +--R (2a b - a b - 2a b)cosh(x) + (7a b - a b - 8a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (9a b + 4a b - 10a b - 14a b - 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (4b + 8a b - 2a b - 14a b - 12a b - 4a b)cosh(x) +--R + +--R 6 5 3 3 4 2 5 2 +--R (4b + 2a b - 10a b - 9a b - 2a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 3 +--R (4a b - a b - 5a b - 4a b )cosh(x) + a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 3 4 2 6 3 3 4 2 2 4 3 3 5 +--R (a b + a b )sinh(x) + ((4a b + 4a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 3 3 4 2 5 2 2 4 3 3 4 2 +--R (4a b + 5a b + 2a b)cosh(x) + (9a b + 11a b + 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R 3a b + 4a b + 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 5 3 2 4 3 3 4 2 5 2 +--R (- 4a b + 8a b)cosh(x) + (- 4a b + 8a b + 20a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 4 +--R (12a b + 20a b - 4a b )cosh(x) + 4a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 5 4 +--R (- 11a b - 5a b + 12a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 26a b - 2a b + 36a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 18a b + 16a b + 38a b - 28a b + 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 5 +--R (- 4b + 16a b + 18a b - 18a b + 8a b )cosh(x) + 4b + 2a b +--R + +--R 2 4 3 3 4 2 +--R - 4a b + 5a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 5 5 +--R (- 8a b - 4a b + 8a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 24a b - 4a b + 28a b - 12a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 24a b + 12a b + 32a b - 36a b + 8a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 8b + 20a b + 12a b - 32a b + 20a b - 4a b)cosh(x) +--R + +--R 6 2 4 3 3 4 2 5 2 4 3 3 +--R (8b - 4a b + 16a b - 8a b )cosh(x) + 4a b + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 2 5 6 2 4 3 3 4 2 5 5 +--R (- 2a b - a b + 2a b)cosh(x) + (- 7a b - a b + 8a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 9a b + 4a b + 10a b - 14a b + 4a b)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (- 4b + 8a b + 2a b - 14a b + 12a b - 4a b)cosh(x) +--R + +--R 6 5 3 3 4 2 5 2 +--R (4b - 2a b + 10a b - 9a b + 2a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 3 +--R (4a b + a b - 5a b + 4a b )cosh(x) - a b + 2a b +--R / +--R 5 3 6 2 7 8 2 +--R (a b - a b - a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 5 4 4 5 3 6 2 +--R (2a b - 2a b - 2a b + 2a b)cosh(x) + a b - a b - a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 3 +--R (4a b - 4a b - 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 +--R (12a b - 12a b - 12a b + 12a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 6 3 5 +--R (12a b - 12a b - 12a b + 12a b )cosh(x) + 4a b - 4a b +--R + +--R 4 4 5 3 +--R - 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 4 +--R (6a b - 6a b - 6a b + 6a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (24a b - 24a b - 24a b + 24a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (34a b - 34a b - 32a b + 32a b - 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 7 +--R (20a b - 20a b - 16a b + 16a b - 4a b + 4a b)cosh(x) + 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b - 2a b + 2a b - 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 5 +--R (4a b - 4a b - 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (20a b - 20a b - 20a b + 20a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (36a b - 36a b - 32a b + 32a b - 4a b + 4a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (28a b - 28a b - 16a b + 16a b - 12a b + 12a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 6 +--R (8a b - 8a b + 4a b - 4a b - 12a b + 12a b )cosh(x) + 4a b +--R + +--R 3 5 4 4 5 3 +--R - 4a b - 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 3 6 2 7 8 6 +--R (a b - a b - a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (6a b - 6a b - 6a b + 6a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (13a b - 13a b - 11a b + 11a b - 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (12a b - 12a b - 4a b + 4a b - 8a b + 8a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (4a b - 4a b + 6a b - 6a b - 9a b + 9a b - a b + a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 5 4 4 +--R (4a b - 4a b - 2a b + 2a b - 2a b + 2a b)cosh(x) + a b - a b +--R + +--R 5 3 6 2 +--R - a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 3 6 2 7 8 2 +--R (- a b - a b + a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 5 4 4 5 3 6 2 +--R (- 2a b - 2a b + 2a b + 2a b)cosh(x) - a b - a b + a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 3 +--R (- 4a b - 4a b + 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 +--R (- 12a b - 12a b + 12a b + 12a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 6 3 5 4 4 +--R (- 12a b - 12a b + 12a b + 12a b )cosh(x) - 4a b - 4a b + 4a b +--R + +--R 5 3 +--R 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 4 +--R (- 6a b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (- 24a b - 24a b + 24a b + 24a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (- 34a b - 34a b + 32a b + 32a b + 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 7 +--R (- 20a b - 20a b + 16a b + 16a b + 4a b + 4a b)cosh(x) - 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b + 2a b + 2a b + 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 6 2 7 8 5 +--R (- 4a b - 4a b + 4a b + 4a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (- 20a b - 20a b + 20a b + 20a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (- 36a b - 36a b + 32a b + 32a b + 4a b + 4a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 28a b - 28a b + 16a b + 16a b + 12a b + 12a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 6 +--R (- 8a b - 8a b - 4a b - 4a b + 12a b + 12a b )cosh(x) - 4a b +--R + +--R 3 5 4 4 5 3 +--R - 4a b + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 3 6 2 7 8 6 +--R (- a b - a b + a b + a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (- 6a b - 6a b + 6a b + 6a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (- 13a b - 13a b + 11a b + 11a b + 2a b + 2a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (- 12a b - 12a b + 4a b + 4a b + 8a b + 8a b)cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (- 4a b - 4a b - 6a b - 6a b + 9a b + 9a b + a b + a )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 5 4 4 +--R (- 4a b - 4a b + 2a b + 2a b + 2a b + 2a b)cosh(x) - a b - a b +--R + +--R 5 3 6 2 +--R a b + a b +--R Type: Expression Integer +--E 14 + +--S 15 of 526 +t0402:= 1/(a+b*sech(x))^3 +--R +--R +--R 1 +--R (15) ---------------------------------------------- +--R 3 3 2 2 2 3 +--R b sech(x) + 3a b sech(x) + 3a b sech(x) + a +--R Type: Expression Integer +--E 15 + +--S 16 of 526 +r0402:= x/a^3-6*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/(a^2-b^2)^(3/2)/a^3-6*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(1/2)-b^3*(a^2+2*b^2)*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/(a^2-b^2)^(5/2)/a^3-1/2*b^3*sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x))^2+3/2*b^4*sinh(x)/a^2/(a^2-b^2)^2/(b+a*cosh(x))+3*b^2*sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x)) +--R +--R +--R (16) +--R 2 5 4 3 6 2 6 3 4 5 2 +--R (4a b - 10a b + 12a b)cosh(x) + (8a b - 20a b + 24a b )cosh(x) +--R + +--R 7 2 5 4 3 +--R 4b - 10a b + 12a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 4 4 2 5 3 3 +--R ((- 3a b + 6a b )cosh(x) - 2a b + 5a b )sinh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 +--R (2a b - 4a b + 2a )x cosh(x) + (4a b - 8a b + 4a b)x cosh(x) +--R + +--R 6 2 4 4 2 +--R (2b - 4a b + 2a b )x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 4 7 2 9 2 4 5 6 3 8 3 6 +--R (2a b - 4a b + 2a )cosh(x) + (4a b - 8a b + 4a b)cosh(x) + 2a b +--R + +--R 5 4 7 2 +--R - 4a b + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 16 + +--S 17 of 526 +a0402:= integrate(t0402,x) +--R +--R +--R (17) +--R [ +--R 2 5 4 3 6 4 +--R (2a b - 5a b + 6a b)sinh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 3 +--R ((8a b - 20a b + 24a b)cosh(x) + 8a b - 20a b + 24a b )sinh(x) +--R + +--R 2 5 4 3 6 2 +--R (12a b - 30a b + 36a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 5 4 3 6 +--R (24a b - 60a b + 72a b )cosh(x) + 8b - 16a b + 14a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 6 3 +--R (8a b - 20a b + 24a b)cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (24a b - 60a b + 72a b )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 +--R (16b - 32a b + 28a b + 24a b)cosh(x) + 8a b - 20a b + 24a b +--R * +--R sinh(x) +--R + +--R 2 5 4 3 6 4 6 3 4 5 2 3 +--R (2a b - 5a b + 6a b)cosh(x) + (8a b - 20a b + 24a b )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (8b - 16a b + 14a b + 12a b)cosh(x) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (8a b - 20a b + 24a b )cosh(x) + 2a b - 5a b + 6a b +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) +--R + +--R 2b cosh(x) + a +--R + +--R 2 4 4 2 6 4 +--R (2a b - 4a b + 2a )x sinh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (8a b - 16a b + 8a )x cosh(x) + (8a b - 16a b + 8a b)x +--R + +--R 5 3 3 +--R 8a b - 14a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 6 2 +--R (12a b - 24a b + 12a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R ((24a b - 48a b + 24a b)x + 24a b - 42a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 +--R (8b - 12a b + 4a )x + 12b - 18a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 +--R (8a b - 16a b + 8a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 2 +--R ((24a b - 48a b + 24a b)x + 24a b - 42a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 +--R ((16b - 24a b + 8a )x + 24b - 36a b - 24a b )cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R (8a b - 16a b + 8a b)x + 16a b - 34a b +--R * +--R sinh(x) +--R + +--R 2 4 4 2 6 4 +--R (2a b - 4a b + 2a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 3 +--R ((8a b - 16a b + 8a b)x + 8a b - 14a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 2 +--R ((8b - 12a b + 4a )x + 12b - 18a b - 12a b )cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R ((8a b - 16a b + 8a b)x + 16a b - 34a b )cosh(x) +--R + +--R 2 4 4 2 6 2 4 4 2 +--R (2a b - 4a b + 2a )x + 6a b - 12a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 5 4 7 2 9 4 +--R (2a b - 4a b + 2a )sinh(x) +--R + +--R 5 4 7 2 9 4 5 6 3 8 3 +--R ((8a b - 16a b + 8a )cosh(x) + 8a b - 16a b + 8a b)sinh(x) +--R + +--R 5 4 7 2 9 2 +--R (12a b - 24a b + 12a )cosh(x) +--R + +--R 4 5 6 3 8 3 6 5 4 9 +--R (24a b - 48a b + 24a b)cosh(x) + 8a b - 12a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 7 2 9 3 +--R (8a b - 16a b + 8a )cosh(x) +--R + +--R 4 5 6 3 8 2 +--R (24a b - 48a b + 24a b)cosh(x) +--R + +--R 3 6 5 4 9 4 5 6 3 8 +--R (16a b - 24a b + 8a )cosh(x) + 8a b - 16a b + 8a b +--R * +--R sinh(x) +--R + +--R 5 4 7 2 9 4 4 5 6 3 8 3 +--R (2a b - 4a b + 2a )cosh(x) + (8a b - 16a b + 8a b)cosh(x) +--R + +--R 3 6 5 4 9 2 4 5 6 3 8 +--R (8a b - 12a b + 4a )cosh(x) + (8a b - 16a b + 8a b)cosh(x) +--R + +--R 5 4 7 2 9 +--R 2a b - 4a b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 2 5 4 3 6 4 +--R (2a b - 5a b + 6a b)sinh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 3 +--R ((8a b - 20a b + 24a b)cosh(x) + 8a b - 20a b + 24a b )sinh(x) +--R + +--R 2 5 4 3 6 2 +--R (12a b - 30a b + 36a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 5 4 3 6 +--R (24a b - 60a b + 72a b )cosh(x) + 8b - 16a b + 14a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 6 3 +--R (8a b - 20a b + 24a b)cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (24a b - 60a b + 72a b )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 +--R (16b - 32a b + 28a b + 24a b)cosh(x) + 8a b - 20a b + 24a b +--R * +--R sinh(x) +--R + +--R 2 5 4 3 6 4 6 3 4 5 2 3 +--R (2a b - 5a b + 6a b)cosh(x) + (8a b - 20a b + 24a b )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (8b - 16a b + 14a b + 12a b)cosh(x) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (8a b - 20a b + 24a b )cosh(x) + 2a b - 5a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R (a sinh(x) + a cosh(x) + b)\|- b + a +--R atan(---------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 4 4 2 6 4 +--R (a b - 2a b + a )x sinh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (4a b - 8a b + 4a )x cosh(x) + (4a b - 8a b + 4a b)x +--R + +--R 5 3 3 +--R 4a b - 7a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 6 2 +--R (6a b - 12a b + 6a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R ((12a b - 24a b + 12a b)x + 12a b - 21a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 +--R (4b - 6a b + 2a )x + 6b - 9a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 +--R (4a b - 8a b + 4a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 2 +--R ((12a b - 24a b + 12a b)x + 12a b - 21a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 +--R ((8b - 12a b + 4a )x + 12b - 18a b - 12a b )cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R (4a b - 8a b + 4a b)x + 8a b - 17a b +--R * +--R sinh(x) +--R + +--R 2 4 4 2 6 4 +--R (a b - 2a b + a )x cosh(x) +--R + +--R 5 3 3 5 5 3 3 3 +--R ((4a b - 8a b + 4a b)x + 4a b - 7a b )cosh(x) +--R + +--R 6 2 4 6 6 2 4 4 2 2 +--R ((4b - 6a b + 2a )x + 6b - 9a b - 6a b )cosh(x) +--R + +--R 5 3 3 5 5 3 3 +--R ((4a b - 8a b + 4a b)x + 8a b - 17a b )cosh(x) +--R + +--R 2 4 4 2 6 2 4 4 2 +--R (a b - 2a b + a )x + 3a b - 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 4 7 2 9 4 +--R (a b - 2a b + a )sinh(x) +--R + +--R 5 4 7 2 9 4 5 6 3 8 3 +--R ((4a b - 8a b + 4a )cosh(x) + 4a b - 8a b + 4a b)sinh(x) +--R + +--R 5 4 7 2 9 2 4 5 6 3 8 +--R (6a b - 12a b + 6a )cosh(x) + (12a b - 24a b + 12a b)cosh(x) +--R + +--R 3 6 5 4 9 +--R 4a b - 6a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 7 2 9 3 4 5 6 3 8 2 +--R (4a b - 8a b + 4a )cosh(x) + (12a b - 24a b + 12a b)cosh(x) +--R + +--R 3 6 5 4 9 4 5 6 3 8 +--R (8a b - 12a b + 4a )cosh(x) + 4a b - 8a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 4 7 2 9 4 4 5 6 3 8 3 +--R (a b - 2a b + a )cosh(x) + (4a b - 8a b + 4a b)cosh(x) +--R + +--R 3 6 5 4 9 2 4 5 6 3 8 5 4 +--R (4a b - 6a b + 2a )cosh(x) + (4a b - 8a b + 4a b)cosh(x) + a b +--R + +--R 7 2 9 +--R - 2a b + a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 17 + +--S 18 of 526 +m0402a:= a0402.1-r0402 +--R +--R +--R (18) +--R 4 5 6 3 8 2 3 6 5 4 7 2 +--R (2a b - 5a b + 6a b)cosh(x) + (4a b - 10a b + 12a b )cosh(x) +--R + +--R 2 7 4 5 6 3 +--R 2a b - 5a b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 5 6 3 8 3 +--R (8a b - 20a b + 24a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (24a b - 60a b + 72a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (24a b - 60a b + 72a b )cosh(x) + 8a b - 20a b + 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (12a b - 30a b + 36a b)cosh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (48a b - 120a b + 144a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (68a b - 166a b + 194a b + 12a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 9 2 7 +--R (40a b - 92a b + 100a b + 24a b )cosh(x) + 8b - 16a b +--R + +--R 4 5 6 3 +--R 14a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 6 3 8 5 +--R (8a b - 20a b + 24a b)cosh(x) +--R + +--R 3 6 5 4 7 2 4 +--R (40a b - 100a b + 120a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (72a b - 172a b + 196a b + 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (56a b - 116a b + 108a b + 72a b )cosh(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 5 4 +--R (16b - 16a b - 12a b + 72a b )cosh(x) + 8a b - 20a b + 24a b +--R * +--R sinh(x) +--R + +--R 4 5 6 3 8 6 3 6 5 4 7 2 5 +--R (2a b - 5a b + 6a b)cosh(x) + (12a b - 30a b + 36a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (26a b - 61a b + 68a b + 12a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (24a b - 44a b + 32a b + 48a b )cosh(x) +--R + +--R 9 4 5 6 3 8 2 +--R (8b - 24a b + 55a b + 6a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (8a b - 16a b + 14a b + 12a b )cosh(x) + 2a b - 5a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 3 2 +--R (2a b - 2a )sinh(x) + (2a b - 2a )cosh(x) + 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R a +--R + +--R 4 5 6 3 8 2 +--R (- 4a b + 10a b - 12a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 7 4 5 6 3 +--R (- 8a b + 20a b - 24a b )cosh(x) - 4a b + 10a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 5 6 3 8 3 +--R (- 16a b + 40a b - 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (- 48a b + 120a b - 144a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (- 48a b + 120a b - 144a b )cosh(x) - 16a b + 40a b - 48a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (- 24a b + 60a b - 72a b)cosh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (- 96a b + 240a b - 288a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 136a b + 332a b - 388a b - 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 9 2 7 +--R (- 80a b + 184a b - 200a b - 48a b )cosh(x) - 16b + 32a b +--R + +--R 4 5 6 3 +--R - 28a b - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 6 3 8 5 +--R (- 16a b + 40a b - 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 4 +--R (- 80a b + 200a b - 240a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 144a b + 344a b - 392a b - 48a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (- 112a b + 232a b - 216a b - 144a b )cosh(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 +--R (- 32b + 32a b + 24a b - 144a b )cosh(x) - 16a b + 40a b +--R + +--R 5 4 +--R - 48a b +--R * +--R sinh(x) +--R + +--R 4 5 6 3 8 6 +--R (- 4a b + 10a b - 12a b)cosh(x) +--R + +--R 3 6 5 4 7 2 5 +--R (- 24a b + 60a b - 72a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 52a b + 122a b - 136a b - 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 48a b + 88a b - 64a b - 96a b )cosh(x) +--R + +--R 9 4 5 6 3 8 2 +--R (- 16b + 48a b - 110a b - 12a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (- 16a b + 32a b - 28a b - 24a b )cosh(x) - 4a b + 10a b - 12a b +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 4 6 2 3 5 5 3 5 +--R ((3a b - 6a b )cosh(x) + 2a b - 5a b )sinh(x) +--R + +--R 4 4 6 2 2 3 5 5 3 2 6 +--R (12a b - 24a b )cosh(x) + (20a b - 44a b )cosh(x) + 8a b +--R + +--R 4 4 +--R - 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 6 2 3 3 5 5 3 2 +--R (18a b - 36a b )cosh(x) + (56a b - 116a b )cosh(x) +--R + +--R 2 6 4 4 6 2 7 3 5 5 3 +--R (52a b - 106a b - 12a b )cosh(x) + 16a b - 30a b - 10a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 6 2 4 3 5 5 3 3 +--R (12a b - 24a b )cosh(x) + (68a b - 134a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (108a b - 198a b - 36a b )cosh(x) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (64a b - 98a b - 68a b )cosh(x) + 12b - 10a b - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 6 2 5 3 5 5 3 4 +--R (3a b - 6a b )cosh(x) + (38a b - 71a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 +--R (92a b - 158a b - 36a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (80a b - 102a b - 116a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (24b + 4a b - 109a b - 6a b )cosh(x) + 16a b - 32a b - 5a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 5 2 6 4 4 6 2 4 +--R (8a b - 14a b )cosh(x) + (28a b - 46a b - 12a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (32a b - 34a b - 58a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (12b + 14a b - 74a b - 12a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 +--R (16a b - 22a b - 24a b )cosh(x) + 6a b - 12a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 7 4 9 2 11 2 6 5 8 3 10 +--R (2a b - 4a b + 2a )cosh(x) + (4a b - 8a b + 4a b)cosh(x) +--R + +--R 5 6 7 4 9 2 +--R 2a b - 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 4 9 2 11 3 +--R (8a b - 16a b + 8a )cosh(x) +--R + +--R 6 5 8 3 10 2 +--R (24a b - 48a b + 24a b)cosh(x) +--R + +--R 5 6 7 4 9 2 4 7 6 5 8 3 +--R (24a b - 48a b + 24a b )cosh(x) + 8a b - 16a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 4 9 2 11 4 +--R (12a b - 24a b + 12a )cosh(x) +--R + +--R 6 5 8 3 10 3 +--R (48a b - 96a b + 48a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 2 +--R (68a b - 132a b + 60a b + 4a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 3 8 5 6 9 2 +--R (40a b - 72a b + 24a b + 8a b)cosh(x) + 8a b - 12a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 4 9 2 11 5 +--R (8a b - 16a b + 8a )cosh(x) +--R + +--R 6 5 8 3 10 4 +--R (40a b - 80a b + 40a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 3 +--R (72a b - 136a b + 56a b + 8a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 2 +--R (56a b - 88a b + 8a b + 24a b)cosh(x) +--R + +--R 3 8 5 6 7 4 9 2 4 7 6 5 8 3 +--R (16a b - 8a b - 32a b + 24a b )cosh(x) + 8a b - 16a b + 8a b +--R * +--R sinh(x) +--R + +--R 7 4 9 2 11 6 6 5 8 3 10 5 +--R (2a b - 4a b + 2a )cosh(x) + (12a b - 24a b + 12a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 4 +--R (26a b - 48a b + 18a b + 4a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 3 +--R (24a b - 32a b - 8a b + 16a b)cosh(x) +--R + +--R 3 8 5 6 7 4 9 2 11 2 +--R (8a b + 4a b - 30a b + 16a b + 2a )cosh(x) +--R + +--R 4 7 6 5 10 5 6 7 4 9 2 +--R (8a b - 12a b + 4a b)cosh(x) + 2a b - 4a b + 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 18 + +--S 19 of 526 +d0402a:= D(m0402a,x) +--R +--R +--R (19) +--R 5 5 6 4 7 3 8 2 4 6 5 5 6 4 +--R (- 3a b + 3a b + 6a b - 6a b )cosh(x) - a b + a b + 4a b +--R + +--R 7 3 +--R - 4a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 2 +--R (- 18a b + 18a b + 36a b - 36a b )cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 3 7 4 6 +--R (- 24a b + 24a b + 60a b - 60a b )cosh(x) - 6a b + 6a b +--R + +--R 5 5 6 4 +--R 24a b - 24a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 3 +--R (- 40a b + 42a b + 79a b - 84a b + 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 2 +--R (- 94a b + 100a b + 214a b - 229a b + 18a b )cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 58a b + 64a b + 163a b - 178a b + 36a b - 18a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 10a b + 12a b + 40a b - 45a b + 18a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 4 +--R (- 30a b + 42a b + 54a b - 84a b + 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R (- 116a b + 164a b + 242a b - 362a b + 132a b + 12a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 126a b + 198a b + 288a b - 468a b + 252a b - 36a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (- 48a b + 96a b + 114a b - 234a b + 228a b - 84a b )cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 8a b + 20a b + 14a b - 44a b + 72a b - 36a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 7 3 9 5 +--R (30a b - 75a b + 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 4 +--R (60a b + 90a b - 180a b - 195a b + 390a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 30a b + 264a b - 171a b - 558a b + 753a b + 114a b +--R + +--R 9 +--R 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 6a b + 276a b - 144a b - 543a b + 804a b - 3a b +--R + +--R 8 2 +--R 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 132a b - 78a b - 234a b + 411a b - 60a b + 72a b +--R + +--R 8 2 +--R - 18a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b - 18a b - 36a b + 78a b - 21a b + 30a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 6 +--R (82a b - 42a b - 184a b + 84a b + 120a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 5 +--R (304a b - 64a b - 736a b + 136a b + 600a b + 120a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 430a b + 146a b - 1144a b - 272a b + 1212a b + 456a b +--R + +--R 9 +--R 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 304a b + 400a b - 924a b - 740a b + 1316a b + 556a b +--R + +--R 8 2 9 +--R 264a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 112a b + 344a b - 412a b - 584a b + 774a b + 234a b +--R + +--R 7 3 8 2 +--R 396a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b + 128a b - 88a b - 176a b + 204a b - 12a b +--R + +--R 6 4 7 3 +--R 276a b + 12a b +--R * +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b - 8a b - 8a b + 14a b - 26a b + 72a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 7 +--R (72a b - 42a b - 159a b + 84a b + 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R (326a b - 116a b - 770a b + 245a b + 510a b + 120a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 3 7 5 5 6 4 7 3 8 2 9 +--R (594a b - 1467a b + 18a b + 1098a b + 594a b + 108a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 546a b + 324a b - 1368a b - 627a b + 1134a b + 1026a b +--R + +--R 8 2 9 +--R 468a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 256a b + 440a b - 628a b - 764a b + 570a b + 654a b +--R + +--R 7 3 8 2 9 +--R 789a b + 240a b + 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 240a b - 108a b - 288a b + 90a b - 18a b +--R + +--R 6 4 7 3 8 2 +--R 654a b + 273a b + 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 8 3 7 4 6 5 5 6 4 +--R 48b + 24a b - 18a b - 180a b + 249a b + 138a b +--R + +--R 7 3 8 2 +--R 60a b - 6a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b - 6a b - 48a b + 32a b + 25a b + 22a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 8 +--R (30a b - 18a b - 66a b + 36a b + 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 7 +--R (156a b - 60a b - 366a b + 126a b + 228a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 342a b - 30a b - 816a b + 60a b + 528a b + 348a b +--R + +--R 9 +--R 72a b +--R * +--R 6 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 384a b + 144a b - 870a b - 306a b + 504a b + 720a b +--R + +--R 8 2 9 +--R 360a b + 72a b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 216a b + 276a b - 402a b - 492a b + 102a b + 546a b +--R + +--R 7 3 8 2 9 +--R 678a b + 300a b + 36a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 192a b - 24a b - 192a b - 120a b - 72a b +--R + +--R 6 4 7 3 8 2 9 +--R 594a b + 438a b + 132a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 24a b + 72a b - 54a b - 270a b + 228a b +--R + +--R 6 4 7 3 8 2 +--R 240a b + 180a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 3 7 4 6 5 5 6 4 7 3 +--R (48a b - 72a b + 18a b + 6a b + 108a b + 36a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 12a b - 6a b - 24a b + 24a b + 12a b +--R * +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 9 +--R (5a b - 3a b - 11a b + 6a b + 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 8 +--R (29a b - 11a b - 68a b + 23a b + 42a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R (74a b - 8a b - 173a b + 14a b + 105a b + 78a b + 18a b) +--R * +--R 7 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 98a b + 28a b - 208a b - 65a b + 92a b + 181a b + 102a b +--R + +--R 9 +--R 24a b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 64a b + 68a b - 94a b - 122a b - 33a b + 150a b + 213a b +--R + +--R 8 2 9 +--R 114a b + 18a b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b + 56a b + 14a b - 44a b - 84a b - 45a b + 186a b +--R + +--R 7 3 8 2 9 +--R 189a b + 78a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b + 16a b + 40a b - 22a b - 116a b + 53a b + 102a b +--R + +--R 7 3 8 2 9 +--R 115a b + 42a b + 6a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 6a b - 24a b - 4a b - 23a b + 64a b + 47a b +--R + +--R 8 2 +--R 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 2 8 +--R (12a b + 2a b - 26a b + 4a b + 17a b + 18a b )cosh(x) + 2a b +--R + +--R 4 6 6 4 +--R - 5a b + 6a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 5 6 4 7 3 8 2 4 6 5 5 6 4 7 3 +--R ((3a b + 3a b - 6a b - 6a b )cosh(x) + a b + a b - 4a b - 4a b ) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 2 +--R (18a b + 18a b - 36a b - 36a b )cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 3 7 4 6 5 5 +--R (24a b + 24a b - 60a b - 60a b )cosh(x) + 6a b + 6a b - 24a b +--R + +--R 6 4 +--R - 24a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 3 +--R (40a b + 42a b - 79a b - 84a b - 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 2 +--R (94a b + 100a b - 214a b - 229a b - 18a b )cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (58a b + 64a b - 163a b - 178a b - 36a b - 18a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 10a b + 12a b - 40a b - 45a b - 18a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 4 +--R (30a b + 42a b - 54a b - 84a b - 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 3 +--R (116a b + 164a b - 242a b - 362a b - 132a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 2 +--R (126a b + 198a b - 288a b - 468a b - 252a b - 36a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (48a b + 96a b - 114a b - 234a b - 228a b - 84a b )cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 8a b + 20a b - 14a b - 44a b - 72a b - 36a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 7 3 9 5 +--R (- 30a b + 75a b - 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 4 +--R (- 60a b + 90a b + 180a b - 195a b - 390a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 30a b + 264a b + 171a b - 558a b - 753a b + 114a b +--R + +--R 9 +--R - 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 6a b + 276a b + 144a b - 543a b - 804a b - 3a b - 54a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (132a b + 78a b - 234a b - 411a b - 60a b - 72a b - 18a b ) +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 18a b - 36a b - 78a b - 21a b - 30a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 6 +--R (- 82a b - 42a b + 184a b + 84a b - 120a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 5 +--R (- 304a b - 64a b + 736a b + 136a b - 600a b + 120a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 430a b + 146a b + 1144a b - 272a b - 1212a b + 456a b +--R + +--R 9 +--R - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 304a b + 400a b + 924a b - 740a b - 1316a b + 556a b +--R + +--R 8 2 9 +--R - 264a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 112a b + 344a b + 412a b - 584a b - 774a b + 234a b +--R + +--R 7 3 8 2 +--R - 396a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 16b + 128a b + 88a b - 176a b - 204a b - 12a b - 276a b +--R + +--R 7 3 +--R 12a b +--R * +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b + 8a b - 8a b - 14a b - 26a b - 72a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 7 +--R (- 72a b - 42a b + 159a b + 84a b - 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 6 +--R (- 326a b - 116a b + 770a b + 245a b - 510a b + 120a b)cosh(x) +--R + +--R 3 7 5 5 6 4 7 3 8 2 9 5 +--R (- 594a b + 1467a b + 18a b - 1098a b + 594a b - 108a b)cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 546a b + 324a b + 1368a b - 627a b - 1134a b + 1026a b +--R + +--R 8 2 9 +--R - 468a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 256a b + 440a b + 628a b - 764a b - 570a b + 654a b +--R + +--R 7 3 8 2 9 +--R - 789a b + 240a b - 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 48b + 240a b + 108a b - 288a b - 90a b - 18a b - 654a b +--R + +--R 7 3 8 2 +--R 273a b - 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 8 3 7 4 6 5 5 6 4 7 3 +--R 48b + 24a b + 18a b - 180a b - 249a b + 138a b - 60a b +--R + +--R 8 2 +--R - 6a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 6a b - 48a b - 32a b + 25a b - 22a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 8 +--R (- 30a b - 18a b + 66a b + 36a b - 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 7 +--R (- 156a b - 60a b + 366a b + 126a b - 228a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R (- 342a b - 30a b + 816a b + 60a b - 528a b + 348a b - 72a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 384a b + 144a b + 870a b - 306a b - 504a b + 720a b +--R + +--R 8 2 9 +--R - 360a b + 72a b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 216a b + 276a b + 402a b - 492a b - 102a b + 546a b +--R + +--R 7 3 8 2 9 +--R - 678a b + 300a b - 36a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 48b + 192a b + 24a b - 192a b + 120a b - 72a b - 594a b +--R + +--R 7 3 8 2 9 +--R 438a b - 132a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 48b - 24a b + 72a b + 54a b - 270a b - 228a b + 240a b +--R + +--R 7 3 8 2 +--R - 180a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 3 7 4 6 5 5 6 4 7 3 2 8 +--R (48a b - 72a b - 18a b + 6a b - 108a b + 36a b )cosh(x) + 12a b +--R + +--R 3 7 4 6 5 5 6 4 +--R 6a b - 24a b - 24a b + 12a b +--R * +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 9 +--R (- 5a b - 3a b + 11a b + 6a b - 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 8 +--R (- 29a b - 11a b + 68a b + 23a b - 42a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 7 +--R (- 74a b - 8a b + 173a b + 14a b - 105a b + 78a b - 18a b)cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 98a b + 28a b + 208a b - 65a b - 92a b + 181a b - 102a b +--R + +--R 9 +--R 24a b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 64a b + 68a b + 94a b - 122a b + 33a b + 150a b - 213a b +--R + +--R 8 2 9 +--R 114a b - 18a b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 16b + 56a b - 14a b - 44a b + 84a b - 45a b - 186a b +--R + +--R 7 3 8 2 9 +--R 189a b - 78a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b - 16a b + 40a b + 22a b - 116a b - 53a b + 102a b +--R + +--R 7 3 8 2 9 +--R - 115a b + 42a b - 6a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (24a b - 6a b - 24a b + 4a b - 23a b - 64a b + 47a b - 18a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 2 8 +--R (12a b - 2a b - 26a b - 4a b + 17a b - 18a b )cosh(x) - 2a b +--R + +--R 4 6 6 4 +--R 5a b - 6a b +--R / +--R 8 5 9 4 10 3 11 2 12 13 3 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 2 +--R (6a b - 6a b - 12a b + 12a b + 6a b - 6a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R (6a b - 6a b - 12a b + 12a b + 6a b - 6a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 2a b - 2a b - 4a b + 4a b + 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 4 +--R (12a b - 12a b - 24a b + 24a b + 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 3 +--R (48a b - 48a b - 96a b + 96a b + 48a b - 48a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 2 +--R (72a b - 72a b - 144a b + 144a b + 72a b - 72a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R (48a b - 48a b - 96a b + 96a b + 48a b - 48a b )cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 12a b - 12a b - 24a b + 24a b + 12a b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 5 +--R (30a b - 30a b - 60a b + 60a b + 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (150a b - 150a b - 300a b + 300a b + 150a b - 150a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 294a b - 294a b - 582a b + 582a b + 282a b - 282a b +--R + +--R 12 13 +--R 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 282a b - 282a b - 546a b + 546a b + 246a b - 246a b +--R + +--R 11 2 12 +--R 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 132a b - 132a b - 246a b + 246a b + 96a b - 96a b +--R + +--R 10 3 11 2 +--R 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 42a b + 42a b + 12a b - 12a b + 6a b +--R + +--R 10 3 +--R - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 6 +--R (40a b - 40a b - 80a b + 80a b + 40a b - 40a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (240a b - 240a b - 480a b + 480a b + 240a b - 240a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 576a b - 576a b - 1128a b + 1128a b + 528a b - 528a b +--R + +--R 12 13 +--R 24a b - 24a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 704a b - 704a b - 1312a b + 1312a b + 512a b - 512a b +--R + +--R 11 2 12 +--R 96a b - 96a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 456a b - 456a b - 768a b + 768a b + 168a b - 168a b +--R + +--R 10 3 11 2 +--R 144a b - 144a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 144a b - 144a b - 192a b + 192a b - 48a b + 48a b +--R + +--R 9 4 10 3 +--R 96a b - 96a b +--R * +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R 16a b - 16a b - 8a b + 8a b - 32a b + 32a b + 24a b +--R + +--R 9 4 +--R - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 7 +--R (30a b - 30a b - 60a b + 60a b + 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (210a b - 210a b - 420a b + 420a b + 210a b - 210a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 594a b - 594a b - 1152a b + 1152a b + 522a b - 522a b +--R + +--R 12 13 +--R 36a b - 36a +--R * +--R 5 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 870a b - 870a b - 1560a b + 1560a b + 510a b - 510a b +--R + +--R 11 2 12 +--R 180a b - 180a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 696a b - 696a b - 1044a b + 1044a b + 6a b - 6a b +--R + +--R 10 3 11 2 12 13 +--R 336a b - 336a b + 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 288a b - 288a b - 252a b + 252a b - 342a b + 342a b +--R + +--R 9 4 10 3 11 2 12 +--R 288a b - 288a b + 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R 48a b - 48a b + 48a b - 48a b - 222a b + 222a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 108a b - 108a b + 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 42a b + 42a b + 12a b - 12a b + 6a b +--R + +--R 10 3 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 8 +--R (12a b - 12a b - 24a b + 24a b + 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 7 +--R (96a b - 96a b - 192a b + 192a b + 96a b - 96a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 312a b - 312a b - 600a b + 600a b + 264a b - 264a b +--R + +--R 12 13 +--R 24a b - 24a +--R * +--R 6 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 528a b - 528a b - 912a b + 912a b + 240a b - 240a b +--R + +--R 11 2 12 +--R 144a b - 144a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 492a b - 492a b - 648a b + 648a b - 168a b + 168a b +--R + +--R 10 3 11 2 12 13 +--R 312a b - 312a b + 12a b - 12a +--R * +--R 4 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 240a b - 240a b - 96a b + 96a b - 480a b + 480a b +--R + +--R 9 4 10 3 11 2 12 +--R 288a b - 288a b + 48a b - 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R 48a b - 48a b + 120a b - 120a b - 312a b + 312a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 72a b - 72a b + 72a b - 72a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 48a b - 48a b - 48a b + 48a b - 48a b + 48a b + 48a b +--R + +--R 10 3 +--R - 48a b +--R * +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 12a b - 12a b - 24a b + 24a b + 12a b - 12a b +--R * +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 9 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 8 +--R (18a b - 18a b - 36a b + 36a b + 18a b - 18a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 12 +--R 66a b - 66a b - 126a b + 126a b + 54a b - 54a b + 6a b +--R + +--R 13 +--R - 6a +--R * +--R 7 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 126a b - 126a b - 210a b + 210a b + 42a b - 42a b +--R + +--R 11 2 12 +--R 42a b - 42a b +--R * +--R 6 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 132a b - 132a b - 150a b + 150a b - 90a b + 90a b +--R + +--R 10 3 11 2 12 13 +--R 102a b - 102a b + 6a b - 6a +--R * +--R 5 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 72a b - 72a b + 6a b - 6a b - 198a b + 198a b + 90a b +--R + +--R 10 3 11 2 12 +--R - 90a b + 30a b - 30a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R 16a b - 16a b + 64a b - 64a b - 122a b + 122a b - 10a b +--R + +--R 9 4 10 3 11 2 12 13 +--R 10a b + 50a b - 50a b + 2a b - 2a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 6a b + 6a b - 54a b + 54a b + 30a b +--R + +--R 10 3 11 2 12 +--R - 30a b + 6a b - 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 10 3 11 2 5 8 +--R (12a b - 12a b - 18a b + 18a b + 6a b - 6a b )cosh(x) + 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b - 4a b + 4a b + 2a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 8 5 9 4 10 3 11 2 12 13 3 +--R (- 2a b - 2a b + 4a b + 4a b - 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 2 +--R (- 6a b - 6a b + 12a b + 12a b - 6a b - 6a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 5 8 +--R (- 6a b - 6a b + 12a b + 12a b - 6a b - 6a b )cosh(x) - 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b + 4a b + 4a b - 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 4 +--R (- 12a b - 12a b + 24a b + 24a b - 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 3 +--R (- 48a b - 48a b + 96a b + 96a b - 48a b - 48a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 2 +--R (- 72a b - 72a b + 144a b + 144a b - 72a b - 72a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R (- 48a b - 48a b + 96a b + 96a b - 48a b - 48a b )cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 12a b - 12a b + 24a b + 24a b - 12a b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 5 +--R (- 30a b - 30a b + 60a b + 60a b - 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 150a b - 150a b + 300a b + 300a b - 150a b - 150a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 294a b - 294a b + 582a b + 582a b - 282a b - 282a b +--R + +--R 12 13 +--R - 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 282a b - 282a b + 546a b + 546a b - 246a b - 246a b +--R + +--R 11 2 12 +--R - 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 132a b - 132a b + 246a b + 246a b - 96a b - 96a b +--R + +--R 10 3 11 2 +--R - 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 24a b - 24a b + 42a b + 42a b - 12a b - 12a b - 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 6 +--R (- 40a b - 40a b + 80a b + 80a b - 40a b - 40a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 240a b - 240a b + 480a b + 480a b - 240a b - 240a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 576a b - 576a b + 1128a b + 1128a b - 528a b - 528a b +--R + +--R 12 13 +--R - 24a b - 24a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 704a b - 704a b + 1312a b + 1312a b - 512a b - 512a b +--R + +--R 11 2 12 +--R - 96a b - 96a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 456a b - 456a b + 768a b + 768a b - 168a b - 168a b +--R + +--R 10 3 11 2 +--R - 144a b - 144a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 144a b - 144a b + 192a b + 192a b + 48a b + 48a b +--R + +--R 9 4 10 3 +--R - 96a b - 96a b +--R * +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 16a b - 16a b + 8a b + 8a b + 32a b + 32a b - 24a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 7 +--R (- 30a b - 30a b + 60a b + 60a b - 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 210a b - 210a b + 420a b + 420a b - 210a b - 210a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 594a b - 594a b + 1152a b + 1152a b - 522a b - 522a b +--R + +--R 12 13 +--R - 36a b - 36a +--R * +--R 5 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 870a b - 870a b + 1560a b + 1560a b - 510a b - 510a b +--R + +--R 11 2 12 +--R - 180a b - 180a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 696a b - 696a b + 1044a b + 1044a b - 6a b - 6a b +--R + +--R 10 3 11 2 12 13 +--R - 336a b - 336a b - 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 288a b - 288a b + 252a b + 252a b + 342a b + 342a b +--R + +--R 9 4 10 3 11 2 12 +--R - 288a b - 288a b - 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 48a b - 48a b - 48a b + 222a b + 222a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 108a b - 108a b - 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 24a b - 24a b + 42a b + 42a b - 12a b - 12a b - 6a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 8 +--R (- 12a b - 12a b + 24a b + 24a b - 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 7 +--R (- 96a b - 96a b + 192a b + 192a b - 96a b - 96a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 312a b - 312a b + 600a b + 600a b - 264a b - 264a b +--R + +--R 12 13 +--R - 24a b - 24a +--R * +--R 6 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 528a b - 528a b + 912a b + 912a b - 240a b - 240a b +--R + +--R 11 2 12 +--R - 144a b - 144a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 492a b - 492a b + 648a b + 648a b + 168a b + 168a b +--R + +--R 10 3 11 2 12 13 +--R - 312a b - 312a b - 12a b - 12a +--R * +--R 4 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 240a b - 240a b + 96a b + 96a b + 480a b + 480a b +--R + +--R 9 4 10 3 11 2 12 +--R - 288a b - 288a b - 48a b - 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 48a b - 120a b - 120a b + 312a b + 312a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 72a b - 72a b - 72a b - 72a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 48a b - 48a b + 48a b + 48a b + 48a b + 48a b - 48a b +--R + +--R 10 3 +--R - 48a b +--R * +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 12a b - 12a b + 24a b + 24a b - 12a b - 12a b +--R * +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 9 +--R (- 2a b - 2a b + 4a b + 4a b - 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 8 +--R (- 18a b - 18a b + 36a b + 36a b - 18a b - 18a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 12 +--R - 66a b - 66a b + 126a b + 126a b - 54a b - 54a b - 6a b +--R + +--R 13 +--R - 6a +--R * +--R 7 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 126a b - 126a b + 210a b + 210a b - 42a b - 42a b - 42a b +--R + +--R 12 +--R - 42a b +--R * +--R 6 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 132a b - 132a b + 150a b + 150a b + 90a b + 90a b - 102a b +--R + +--R 11 2 12 13 +--R - 102a b - 6a b - 6a +--R * +--R 5 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 72a b - 72a b - 6a b - 6a b + 198a b + 198a b - 90a b +--R + +--R 10 3 11 2 12 +--R - 90a b - 30a b - 30a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 16a b - 64a b - 64a b + 122a b + 122a b + 10a b +--R + +--R 9 4 10 3 11 2 12 13 +--R 10a b - 50a b - 50a b - 2a b - 2a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 24a b - 24a b + 6a b + 6a b + 54a b + 54a b - 30a b +--R + +--R 10 3 11 2 12 +--R - 30a b - 6a b - 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 10 3 11 2 5 8 +--R (- 12a b - 12a b + 18a b + 18a b - 6a b - 6a b )cosh(x) - 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b + 4a b + 4a b - 2a b - 2a b +--R Type: Expression Integer +--E 19 + +--S 20 of 526 +m0402b:= a0402.2-r0402 +--R +--R +--R (20) +--R 4 5 6 3 8 2 +--R (4a b - 10a b + 12a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 7 4 5 6 3 +--R (8a b - 20a b + 24a b )cosh(x) + 4a b - 10a b + 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 5 6 3 8 3 +--R (16a b - 40a b + 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (48a b - 120a b + 144a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (48a b - 120a b + 144a b )cosh(x) + 16a b - 40a b + 48a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (24a b - 60a b + 72a b)cosh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (96a b - 240a b + 288a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (136a b - 332a b + 388a b + 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 9 2 7 +--R (80a b - 184a b + 200a b + 48a b )cosh(x) + 16b - 32a b +--R + +--R 4 5 6 3 +--R 28a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 6 3 8 5 +--R (16a b - 40a b + 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 4 +--R (80a b - 200a b + 240a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (144a b - 344a b + 392a b + 48a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (112a b - 232a b + 216a b + 144a b )cosh(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 +--R (32b - 32a b - 24a b + 144a b )cosh(x) + 16a b - 40a b +--R + +--R 5 4 +--R 48a b +--R * +--R sinh(x) +--R + +--R 4 5 6 3 8 6 3 6 5 4 7 2 5 +--R (4a b - 10a b + 12a b)cosh(x) + (24a b - 60a b + 72a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (52a b - 122a b + 136a b + 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (48a b - 88a b + 64a b + 96a b )cosh(x) +--R + +--R 9 4 5 6 3 8 2 +--R (16b - 48a b + 110a b + 12a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (16a b - 32a b + 28a b + 24a b )cosh(x) + 4a b - 10a b + 12a b +--R * +--R +---------+ +--R | 2 2 +--R (a sinh(x) + a cosh(x) + b)\|- b + a +--R atan(---------------------------------------) +--R 2 2 +--R b - a +--R + +--R 4 5 6 3 8 2 +--R (- 4a b + 10a b - 12a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 7 4 5 6 3 +--R (- 8a b + 20a b - 24a b )cosh(x) - 4a b + 10a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 5 6 3 8 3 +--R (- 16a b + 40a b - 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (- 48a b + 120a b - 144a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (- 48a b + 120a b - 144a b )cosh(x) - 16a b + 40a b - 48a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (- 24a b + 60a b - 72a b)cosh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (- 96a b + 240a b - 288a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 136a b + 332a b - 388a b - 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 9 2 7 +--R (- 80a b + 184a b - 200a b - 48a b )cosh(x) - 16b + 32a b +--R + +--R 4 5 6 3 +--R - 28a b - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 6 3 8 5 +--R (- 16a b + 40a b - 48a b)cosh(x) +--R + +--R 3 6 5 4 7 2 4 +--R (- 80a b + 200a b - 240a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 144a b + 344a b - 392a b - 48a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (- 112a b + 232a b - 216a b - 144a b )cosh(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 +--R (- 32b + 32a b + 24a b - 144a b )cosh(x) - 16a b + 40a b +--R + +--R 5 4 +--R - 48a b +--R * +--R sinh(x) +--R + +--R 4 5 6 3 8 6 +--R (- 4a b + 10a b - 12a b)cosh(x) +--R + +--R 3 6 5 4 7 2 5 +--R (- 24a b + 60a b - 72a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 52a b + 122a b - 136a b - 24a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 48a b + 88a b - 64a b - 96a b )cosh(x) +--R + +--R 9 4 5 6 3 8 2 +--R (- 16b + 48a b - 110a b - 12a b)cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (- 16a b + 32a b - 28a b - 24a b )cosh(x) - 4a b + 10a b - 12a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atan(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 4 6 2 3 5 5 3 5 +--R ((3a b - 6a b )cosh(x) + 2a b - 5a b )sinh(x) +--R + +--R 4 4 6 2 2 3 5 5 3 2 6 +--R (12a b - 24a b )cosh(x) + (20a b - 44a b )cosh(x) + 8a b +--R + +--R 4 4 +--R - 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 6 2 3 3 5 5 3 2 +--R (18a b - 36a b )cosh(x) + (56a b - 116a b )cosh(x) +--R + +--R 2 6 4 4 6 2 7 3 5 5 3 +--R (52a b - 106a b - 12a b )cosh(x) + 16a b - 30a b - 10a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 6 2 4 3 5 5 3 3 +--R (12a b - 24a b )cosh(x) + (68a b - 134a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (108a b - 198a b - 36a b )cosh(x) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (64a b - 98a b - 68a b )cosh(x) + 12b - 10a b - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 6 2 5 3 5 5 3 4 +--R (3a b - 6a b )cosh(x) + (38a b - 71a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 +--R (92a b - 158a b - 36a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (80a b - 102a b - 116a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (24b + 4a b - 109a b - 6a b )cosh(x) + 16a b - 32a b - 5a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 5 2 6 4 4 6 2 4 +--R (8a b - 14a b )cosh(x) + (28a b - 46a b - 12a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (32a b - 34a b - 58a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (12b + 14a b - 74a b - 12a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 +--R (16a b - 22a b - 24a b )cosh(x) + 6a b - 12a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 7 4 9 2 11 2 6 5 8 3 10 +--R (2a b - 4a b + 2a )cosh(x) + (4a b - 8a b + 4a b)cosh(x) +--R + +--R 5 6 7 4 9 2 +--R 2a b - 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 4 9 2 11 3 +--R (8a b - 16a b + 8a )cosh(x) +--R + +--R 6 5 8 3 10 2 +--R (24a b - 48a b + 24a b)cosh(x) +--R + +--R 5 6 7 4 9 2 4 7 6 5 8 3 +--R (24a b - 48a b + 24a b )cosh(x) + 8a b - 16a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 4 9 2 11 4 +--R (12a b - 24a b + 12a )cosh(x) +--R + +--R 6 5 8 3 10 3 +--R (48a b - 96a b + 48a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 2 +--R (68a b - 132a b + 60a b + 4a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 3 8 5 6 9 2 +--R (40a b - 72a b + 24a b + 8a b)cosh(x) + 8a b - 12a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 4 9 2 11 5 +--R (8a b - 16a b + 8a )cosh(x) +--R + +--R 6 5 8 3 10 4 +--R (40a b - 80a b + 40a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 3 +--R (72a b - 136a b + 56a b + 8a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 2 +--R (56a b - 88a b + 8a b + 24a b)cosh(x) +--R + +--R 3 8 5 6 7 4 9 2 4 7 6 5 8 3 +--R (16a b - 8a b - 32a b + 24a b )cosh(x) + 8a b - 16a b + 8a b +--R * +--R sinh(x) +--R + +--R 7 4 9 2 11 6 6 5 8 3 10 5 +--R (2a b - 4a b + 2a )cosh(x) + (12a b - 24a b + 12a b)cosh(x) +--R + +--R 5 6 7 4 9 2 11 4 +--R (26a b - 48a b + 18a b + 4a )cosh(x) +--R + +--R 4 7 6 5 8 3 10 3 +--R (24a b - 32a b - 8a b + 16a b)cosh(x) +--R + +--R 3 8 5 6 7 4 9 2 11 2 +--R (8a b + 4a b - 30a b + 16a b + 2a )cosh(x) +--R + +--R 4 7 6 5 10 5 6 7 4 9 2 +--R (8a b - 12a b + 4a b)cosh(x) + 2a b - 4a b + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 20 + +--S 21 of 526 +d0402b:= D(m0402b,x) +--R +--R +--R (21) +--R 5 5 6 4 7 3 8 2 4 6 5 5 6 4 +--R (- 3a b + 3a b + 6a b - 6a b )cosh(x) - a b + a b + 4a b +--R + +--R 7 3 +--R - 4a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 2 +--R (- 18a b + 18a b + 36a b - 36a b )cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 3 7 4 6 +--R (- 24a b + 24a b + 60a b - 60a b )cosh(x) - 6a b + 6a b +--R + +--R 5 5 6 4 +--R 24a b - 24a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 3 +--R (- 40a b + 42a b + 79a b - 84a b + 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 2 +--R (- 94a b + 100a b + 214a b - 229a b + 18a b )cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 58a b + 64a b + 163a b - 178a b + 36a b - 18a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 10a b + 12a b + 40a b - 45a b + 18a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 4 +--R (- 30a b + 42a b + 54a b - 84a b + 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R (- 116a b + 164a b + 242a b - 362a b + 132a b + 12a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 126a b + 198a b + 288a b - 468a b + 252a b - 36a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (- 48a b + 96a b + 114a b - 234a b + 228a b - 84a b )cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 8a b + 20a b + 14a b - 44a b + 72a b - 36a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 7 3 9 5 +--R (30a b - 75a b + 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 4 +--R (60a b + 90a b - 180a b - 195a b + 390a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 30a b + 264a b - 171a b - 558a b + 753a b + 114a b +--R + +--R 9 +--R 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 6a b + 276a b - 144a b - 543a b + 804a b - 3a b +--R + +--R 8 2 +--R 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 132a b - 78a b - 234a b + 411a b - 60a b + 72a b +--R + +--R 8 2 +--R - 18a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b - 18a b - 36a b + 78a b - 21a b + 30a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 6 +--R (82a b - 42a b - 184a b + 84a b + 120a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 5 +--R (304a b - 64a b - 736a b + 136a b + 600a b + 120a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 430a b + 146a b - 1144a b - 272a b + 1212a b + 456a b +--R + +--R 9 +--R 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 304a b + 400a b - 924a b - 740a b + 1316a b + 556a b +--R + +--R 8 2 9 +--R 264a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 112a b + 344a b - 412a b - 584a b + 774a b + 234a b +--R + +--R 7 3 8 2 +--R 396a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b + 128a b - 88a b - 176a b + 204a b - 12a b +--R + +--R 6 4 7 3 +--R 276a b + 12a b +--R * +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b - 8a b - 8a b + 14a b - 26a b + 72a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 7 +--R (72a b - 42a b - 159a b + 84a b + 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R (326a b - 116a b - 770a b + 245a b + 510a b + 120a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 3 7 5 5 6 4 7 3 8 2 9 +--R (594a b - 1467a b + 18a b + 1098a b + 594a b + 108a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 546a b + 324a b - 1368a b - 627a b + 1134a b + 1026a b +--R + +--R 8 2 9 +--R 468a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 256a b + 440a b - 628a b - 764a b + 570a b + 654a b +--R + +--R 7 3 8 2 9 +--R 789a b + 240a b + 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 240a b - 108a b - 288a b + 90a b - 18a b +--R + +--R 6 4 7 3 8 2 +--R 654a b + 273a b + 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 8 3 7 4 6 5 5 6 4 +--R 48b + 24a b - 18a b - 180a b + 249a b + 138a b +--R + +--R 7 3 8 2 +--R 60a b - 6a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b - 6a b - 48a b + 32a b + 25a b + 22a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 8 +--R (30a b - 18a b - 66a b + 36a b + 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 7 +--R (156a b - 60a b - 366a b + 126a b + 228a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 342a b - 30a b - 816a b + 60a b + 528a b + 348a b +--R + +--R 9 +--R 72a b +--R * +--R 6 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 384a b + 144a b - 870a b - 306a b + 504a b + 720a b +--R + +--R 8 2 9 +--R 360a b + 72a b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 216a b + 276a b - 402a b - 492a b + 102a b + 546a b +--R + +--R 7 3 8 2 9 +--R 678a b + 300a b + 36a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 192a b - 24a b - 192a b - 120a b - 72a b +--R + +--R 6 4 7 3 8 2 9 +--R 594a b + 438a b + 132a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 48b + 24a b + 72a b - 54a b - 270a b + 228a b +--R + +--R 6 4 7 3 8 2 +--R 240a b + 180a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 3 7 4 6 5 5 6 4 7 3 +--R (48a b - 72a b + 18a b + 6a b + 108a b + 36a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 12a b - 6a b - 24a b + 24a b + 12a b +--R * +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 9 +--R (5a b - 3a b - 11a b + 6a b + 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 8 +--R (29a b - 11a b - 68a b + 23a b + 42a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R (74a b - 8a b - 173a b + 14a b + 105a b + 78a b + 18a b) +--R * +--R 7 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 98a b + 28a b - 208a b - 65a b + 92a b + 181a b + 102a b +--R + +--R 9 +--R 24a b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 64a b + 68a b - 94a b - 122a b - 33a b + 150a b + 213a b +--R + +--R 8 2 9 +--R 114a b + 18a b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b + 56a b + 14a b - 44a b - 84a b - 45a b + 186a b +--R + +--R 7 3 8 2 9 +--R 189a b + 78a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b + 16a b + 40a b - 22a b - 116a b + 53a b + 102a b +--R + +--R 7 3 8 2 9 +--R 115a b + 42a b + 6a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 6a b - 24a b - 4a b - 23a b + 64a b + 47a b +--R + +--R 8 2 +--R 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 2 8 +--R (12a b + 2a b - 26a b + 4a b + 17a b + 18a b )cosh(x) + 2a b +--R + +--R 4 6 6 4 +--R - 5a b + 6a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 5 6 4 7 3 8 2 4 6 5 5 6 4 7 3 +--R ((3a b + 3a b - 6a b - 6a b )cosh(x) + a b + a b - 4a b - 4a b ) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 2 +--R (18a b + 18a b - 36a b - 36a b )cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 3 7 4 6 5 5 +--R (24a b + 24a b - 60a b - 60a b )cosh(x) + 6a b + 6a b - 24a b +--R + +--R 6 4 +--R - 24a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 3 +--R (40a b + 42a b - 79a b - 84a b - 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 2 +--R (94a b + 100a b - 214a b - 229a b - 18a b )cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R (58a b + 64a b - 163a b - 178a b - 36a b - 18a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 10a b + 12a b - 40a b - 45a b - 18a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 4 +--R (30a b + 42a b - 54a b - 84a b - 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 3 +--R (116a b + 164a b - 242a b - 362a b - 132a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 2 +--R (126a b + 198a b - 288a b - 468a b - 252a b - 36a b )cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (48a b + 96a b - 114a b - 234a b - 228a b - 84a b )cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 8a b + 20a b - 14a b - 44a b - 72a b - 36a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 7 3 9 5 +--R (- 30a b + 75a b - 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 4 +--R (- 60a b + 90a b + 180a b - 195a b - 390a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 30a b + 264a b + 171a b - 558a b - 753a b + 114a b +--R + +--R 9 +--R - 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (- 6a b + 276a b + 144a b - 543a b - 804a b - 3a b - 54a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (132a b + 78a b - 234a b - 411a b - 60a b - 72a b - 18a b ) +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 18a b - 36a b - 78a b - 21a b - 30a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 6 +--R (- 82a b - 42a b + 184a b + 84a b - 120a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 5 +--R (- 304a b - 64a b + 736a b + 136a b - 600a b + 120a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 430a b + 146a b + 1144a b - 272a b - 1212a b + 456a b +--R + +--R 9 +--R - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 304a b + 400a b + 924a b - 740a b - 1316a b + 556a b +--R + +--R 8 2 9 +--R - 264a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 112a b + 344a b + 412a b - 584a b - 774a b + 234a b +--R + +--R 7 3 8 2 +--R - 396a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 16b + 128a b + 88a b - 176a b - 204a b - 12a b - 276a b +--R + +--R 7 3 +--R 12a b +--R * +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 16b + 8a b - 8a b - 14a b - 26a b - 72a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 7 +--R (- 72a b - 42a b + 159a b + 84a b - 90a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 6 +--R (- 326a b - 116a b + 770a b + 245a b - 510a b + 120a b)cosh(x) +--R + +--R 3 7 5 5 6 4 7 3 8 2 9 5 +--R (- 594a b + 1467a b + 18a b - 1098a b + 594a b - 108a b)cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 546a b + 324a b + 1368a b - 627a b - 1134a b + 1026a b +--R + +--R 8 2 9 +--R - 468a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 256a b + 440a b + 628a b - 764a b - 570a b + 654a b +--R + +--R 7 3 8 2 9 +--R - 789a b + 240a b - 18a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 48b + 240a b + 108a b - 288a b - 90a b - 18a b - 654a b +--R + +--R 7 3 8 2 +--R 273a b - 54a b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 8 3 7 4 6 5 5 6 4 7 3 +--R 48b + 24a b + 18a b - 180a b - 249a b + 138a b - 60a b +--R + +--R 8 2 +--R - 6a b +--R * +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 24a b + 6a b - 48a b - 32a b + 25a b - 22a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 8 +--R (- 30a b - 18a b + 66a b + 36a b - 36a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 7 +--R (- 156a b - 60a b + 366a b + 126a b - 228a b + 60a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R (- 342a b - 30a b + 816a b + 60a b - 528a b + 348a b - 72a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 384a b + 144a b + 870a b - 306a b - 504a b + 720a b +--R + +--R 8 2 9 +--R - 360a b + 72a b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 216a b + 276a b + 402a b - 492a b - 102a b + 546a b +--R + +--R 7 3 8 2 9 +--R - 678a b + 300a b - 36a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 48b + 192a b + 24a b - 192a b + 120a b - 72a b - 594a b +--R + +--R 7 3 8 2 9 +--R 438a b - 132a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 48b - 24a b + 72a b + 54a b - 270a b - 228a b + 240a b +--R + +--R 7 3 8 2 +--R - 180a b + 36a b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 3 7 4 6 5 5 6 4 7 3 2 8 +--R (48a b - 72a b - 18a b + 6a b - 108a b + 36a b )cosh(x) + 12a b +--R + +--R 3 7 4 6 5 5 6 4 +--R 6a b - 24a b - 24a b + 12a b +--R * +--R sinh(x) +--R + +--R 5 5 6 4 7 3 8 2 9 9 +--R (- 5a b - 3a b + 11a b + 6a b - 6a b)cosh(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 8 +--R (- 29a b - 11a b + 68a b + 23a b - 42a b + 12a b)cosh(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 7 +--R (- 74a b - 8a b + 173a b + 14a b - 105a b + 78a b - 18a b)cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 98a b + 28a b + 208a b - 65a b - 92a b + 181a b - 102a b +--R + +--R 9 +--R 24a b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 64a b + 68a b + 94a b - 122a b + 33a b + 150a b - 213a b +--R + +--R 8 2 9 +--R 114a b - 18a b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 16b + 56a b - 14a b - 44a b + 84a b - 45a b - 186a b +--R + +--R 7 3 8 2 9 +--R 189a b - 78a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 16b - 16a b + 40a b + 22a b - 116a b - 53a b + 102a b +--R + +--R 7 3 8 2 9 +--R - 115a b + 42a b - 6a b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R (24a b - 6a b - 24a b + 4a b - 23a b - 64a b + 47a b - 18a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 2 8 +--R (12a b - 2a b - 26a b - 4a b + 17a b - 18a b )cosh(x) - 2a b +--R + +--R 4 6 6 4 +--R 5a b - 6a b +--R / +--R 8 5 9 4 10 3 11 2 12 13 3 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 2 +--R (6a b - 6a b - 12a b + 12a b + 6a b - 6a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R (6a b - 6a b - 12a b + 12a b + 6a b - 6a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 2a b - 2a b - 4a b + 4a b + 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 4 +--R (12a b - 12a b - 24a b + 24a b + 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 3 +--R (48a b - 48a b - 96a b + 96a b + 48a b - 48a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 2 +--R (72a b - 72a b - 144a b + 144a b + 72a b - 72a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R (48a b - 48a b - 96a b + 96a b + 48a b - 48a b )cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 12a b - 12a b - 24a b + 24a b + 12a b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 5 +--R (30a b - 30a b - 60a b + 60a b + 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (150a b - 150a b - 300a b + 300a b + 150a b - 150a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 294a b - 294a b - 582a b + 582a b + 282a b - 282a b +--R + +--R 12 13 +--R 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 282a b - 282a b - 546a b + 546a b + 246a b - 246a b +--R + +--R 11 2 12 +--R 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 132a b - 132a b - 246a b + 246a b + 96a b - 96a b +--R + +--R 10 3 11 2 +--R 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 42a b + 42a b + 12a b - 12a b + 6a b +--R + +--R 10 3 +--R - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 6 +--R (40a b - 40a b - 80a b + 80a b + 40a b - 40a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (240a b - 240a b - 480a b + 480a b + 240a b - 240a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 576a b - 576a b - 1128a b + 1128a b + 528a b - 528a b +--R + +--R 12 13 +--R 24a b - 24a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 704a b - 704a b - 1312a b + 1312a b + 512a b - 512a b +--R + +--R 11 2 12 +--R 96a b - 96a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 456a b - 456a b - 768a b + 768a b + 168a b - 168a b +--R + +--R 10 3 11 2 +--R 144a b - 144a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 144a b - 144a b - 192a b + 192a b - 48a b + 48a b +--R + +--R 9 4 10 3 +--R 96a b - 96a b +--R * +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R 16a b - 16a b - 8a b + 8a b - 32a b + 32a b + 24a b +--R + +--R 9 4 +--R - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 7 +--R (30a b - 30a b - 60a b + 60a b + 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (210a b - 210a b - 420a b + 420a b + 210a b - 210a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 594a b - 594a b - 1152a b + 1152a b + 522a b - 522a b +--R + +--R 12 13 +--R 36a b - 36a +--R * +--R 5 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 870a b - 870a b - 1560a b + 1560a b + 510a b - 510a b +--R + +--R 11 2 12 +--R 180a b - 180a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 696a b - 696a b - 1044a b + 1044a b + 6a b - 6a b +--R + +--R 10 3 11 2 12 13 +--R 336a b - 336a b + 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 288a b - 288a b - 252a b + 252a b - 342a b + 342a b +--R + +--R 9 4 10 3 11 2 12 +--R 288a b - 288a b + 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R 48a b - 48a b + 48a b - 48a b - 222a b + 222a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 108a b - 108a b + 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 42a b + 42a b + 12a b - 12a b + 6a b +--R + +--R 10 3 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 8 +--R (12a b - 12a b - 24a b + 24a b + 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 7 +--R (96a b - 96a b - 192a b + 192a b + 96a b - 96a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R 312a b - 312a b - 600a b + 600a b + 264a b - 264a b +--R + +--R 12 13 +--R 24a b - 24a +--R * +--R 6 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 528a b - 528a b - 912a b + 912a b + 240a b - 240a b +--R + +--R 11 2 12 +--R 144a b - 144a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 492a b - 492a b - 648a b + 648a b - 168a b + 168a b +--R + +--R 10 3 11 2 12 13 +--R 312a b - 312a b + 12a b - 12a +--R * +--R 4 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 240a b - 240a b - 96a b + 96a b - 480a b + 480a b +--R + +--R 9 4 10 3 11 2 12 +--R 288a b - 288a b + 48a b - 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R 48a b - 48a b + 120a b - 120a b - 312a b + 312a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 72a b - 72a b + 72a b - 72a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 48a b - 48a b - 48a b + 48a b - 48a b + 48a b + 48a b +--R + +--R 10 3 +--R - 48a b +--R * +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 12a b - 12a b - 24a b + 24a b + 12a b - 12a b +--R * +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 9 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 8 +--R (18a b - 18a b - 36a b + 36a b + 18a b - 18a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 12 +--R 66a b - 66a b - 126a b + 126a b + 54a b - 54a b + 6a b +--R + +--R 13 +--R - 6a +--R * +--R 7 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R 126a b - 126a b - 210a b + 210a b + 42a b - 42a b +--R + +--R 11 2 12 +--R 42a b - 42a b +--R * +--R 6 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 132a b - 132a b - 150a b + 150a b - 90a b + 90a b +--R + +--R 10 3 11 2 12 13 +--R 102a b - 102a b + 6a b - 6a +--R * +--R 5 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 72a b - 72a b + 6a b - 6a b - 198a b + 198a b + 90a b +--R + +--R 10 3 11 2 12 +--R - 90a b + 30a b - 30a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R 16a b - 16a b + 64a b - 64a b - 122a b + 122a b - 10a b +--R + +--R 9 4 10 3 11 2 12 13 +--R 10a b + 50a b - 50a b + 2a b - 2a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 24a b - 24a b - 6a b + 6a b - 54a b + 54a b + 30a b +--R + +--R 10 3 11 2 12 +--R - 30a b + 6a b - 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 10 3 11 2 5 8 +--R (12a b - 12a b - 18a b + 18a b + 6a b - 6a b )cosh(x) + 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b - 4a b + 4a b + 2a b - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 8 5 9 4 10 3 11 2 12 13 3 +--R (- 2a b - 2a b + 4a b + 4a b - 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 2 +--R (- 6a b - 6a b + 12a b + 12a b - 6a b - 6a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 5 8 +--R (- 6a b - 6a b + 12a b + 12a b - 6a b - 6a b )cosh(x) - 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b + 4a b + 4a b - 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 4 +--R (- 12a b - 12a b + 24a b + 24a b - 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 3 +--R (- 48a b - 48a b + 96a b + 96a b - 48a b - 48a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 2 +--R (- 72a b - 72a b + 144a b + 144a b - 72a b - 72a b )cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R (- 48a b - 48a b + 96a b + 96a b - 48a b - 48a b )cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 12a b - 12a b + 24a b + 24a b - 12a b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 5 +--R (- 30a b - 30a b + 60a b + 60a b - 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 150a b - 150a b + 300a b + 300a b - 150a b - 150a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 294a b - 294a b + 582a b + 582a b - 282a b - 282a b +--R + +--R 12 13 +--R - 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 282a b - 282a b + 546a b + 546a b - 246a b - 246a b +--R + +--R 11 2 12 +--R - 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 132a b - 132a b + 246a b + 246a b - 96a b - 96a b +--R + +--R 10 3 11 2 +--R - 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 24a b - 24a b + 42a b + 42a b - 12a b - 12a b - 6a b - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 6 +--R (- 40a b - 40a b + 80a b + 80a b - 40a b - 40a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 240a b - 240a b + 480a b + 480a b - 240a b - 240a b) +--R * +--R 5 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 576a b - 576a b + 1128a b + 1128a b - 528a b - 528a b +--R + +--R 12 13 +--R - 24a b - 24a +--R * +--R 4 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 704a b - 704a b + 1312a b + 1312a b - 512a b - 512a b +--R + +--R 11 2 12 +--R - 96a b - 96a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 456a b - 456a b + 768a b + 768a b - 168a b - 168a b +--R + +--R 10 3 11 2 +--R - 144a b - 144a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 144a b - 144a b + 192a b + 192a b + 48a b + 48a b +--R + +--R 9 4 10 3 +--R - 96a b - 96a b +--R * +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 16a b - 16a b + 8a b + 8a b + 32a b + 32a b - 24a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 7 +--R (- 30a b - 30a b + 60a b + 60a b - 30a b - 30a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 +--R (- 210a b - 210a b + 420a b + 420a b - 210a b - 210a b) +--R * +--R 6 +--R cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 594a b - 594a b + 1152a b + 1152a b - 522a b - 522a b +--R + +--R 12 13 +--R - 36a b - 36a +--R * +--R 5 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 870a b - 870a b + 1560a b + 1560a b - 510a b - 510a b +--R + +--R 11 2 12 +--R - 180a b - 180a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 696a b - 696a b + 1044a b + 1044a b - 6a b - 6a b +--R + +--R 10 3 11 2 12 13 +--R - 336a b - 336a b - 6a b - 6a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 288a b - 288a b + 252a b + 252a b + 342a b + 342a b +--R + +--R 9 4 10 3 11 2 12 +--R - 288a b - 288a b - 18a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 48a b - 48a b - 48a b + 222a b + 222a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 108a b - 108a b - 18a b - 18a b +--R * +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 24a b - 24a b + 42a b + 42a b - 12a b - 12a b - 6a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 8 +--R (- 12a b - 12a b + 24a b + 24a b - 12a b - 12a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 7 +--R (- 96a b - 96a b + 192a b + 192a b - 96a b - 96a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 312a b - 312a b + 600a b + 600a b - 264a b - 264a b +--R + +--R 12 13 +--R - 24a b - 24a +--R * +--R 6 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 528a b - 528a b + 912a b + 912a b - 240a b - 240a b +--R + +--R 11 2 12 +--R - 144a b - 144a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 492a b - 492a b + 648a b + 648a b + 168a b + 168a b +--R + +--R 10 3 11 2 12 13 +--R - 312a b - 312a b - 12a b - 12a +--R * +--R 4 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 240a b - 240a b + 96a b + 96a b + 480a b + 480a b +--R + +--R 9 4 10 3 11 2 12 +--R - 288a b - 288a b - 48a b - 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 48a b - 120a b - 120a b + 312a b + 312a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 72a b - 72a b - 72a b - 72a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 48a b - 48a b + 48a b + 48a b + 48a b + 48a b - 48a b +--R + +--R 10 3 +--R - 48a b +--R * +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 12a b - 12a b + 24a b + 24a b - 12a b - 12a b +--R * +--R sinh(x) +--R + +--R 8 5 9 4 10 3 11 2 12 13 9 +--R (- 2a b - 2a b + 4a b + 4a b - 2a b - 2a )cosh(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 12 8 +--R (- 18a b - 18a b + 36a b + 36a b - 18a b - 18a b)cosh(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 12 +--R - 66a b - 66a b + 126a b + 126a b - 54a b - 54a b - 6a b +--R + +--R 13 +--R - 6a +--R * +--R 7 +--R cosh(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 126a b - 126a b + 210a b + 210a b - 42a b - 42a b - 42a b +--R + +--R 12 +--R - 42a b +--R * +--R 6 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 132a b - 132a b + 150a b + 150a b + 90a b + 90a b - 102a b +--R + +--R 11 2 12 13 +--R - 102a b - 6a b - 6a +--R * +--R 5 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 72a b - 72a b - 6a b - 6a b + 198a b + 198a b - 90a b +--R + +--R 10 3 11 2 12 +--R - 90a b - 30a b - 30a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 16a b - 64a b - 64a b + 122a b + 122a b + 10a b +--R + +--R 9 4 10 3 11 2 12 13 +--R 10a b - 50a b - 50a b - 2a b - 2a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 24a b - 24a b + 6a b + 6a b + 54a b + 54a b - 30a b +--R + +--R 10 3 11 2 12 +--R - 30a b - 6a b - 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 9 5 8 6 7 7 6 10 3 11 2 5 8 +--R (- 12a b - 12a b + 18a b + 18a b - 6a b - 6a b )cosh(x) - 2a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 2a b + 4a b + 4a b - 2a b - 2a b +--R Type: Expression Integer +--E 21 + +--S 22 of 526 +t0403:= 1/(a+b*sech(x)^2) +--R +--R +--R 1 +--R (22) -------------- +--R 2 +--R b sech(x) + a +--R Type: Expression Integer +--E 22 + +--S 23 of 526 +r0403:= x/a-b^(1/2)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a/(a+b)^(1/2) +--R +--R +--R +-+ +--R +-+ tanh(x)\|b +-----+ +--R - \|b atanh(-----------) + x\|b + a +--R +-----+ +--R \|b + a +--R (23) ------------------------------------ +--R +-----+ +--R a\|b + a +--R Type: Expression Integer +--E 23 + +--S 24 of 526 +a0403:= integrate(t0403,x) +--R +--R +--R (24) +--R [ +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4a b + 4a )sinh(x) + (8a b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4a b + 4a )cosh(x) + 8b + 12a b + 4a +--R * +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6a cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 2 3 2 2 4 +--R (4a cosh(x) + (8a b + 4a )cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 2 2 2 +--R (4a b + 2a )cosh(x) + 8b + 8a b + a +--R / +--R 4 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 +--R (6a cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (4a cosh(x) + (8b + 4a)cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 +--R (4b + 2a)cosh(x) + a +--R + +--R 2x +--R / +--R 2a +--R , +--R +-------+ +--R | b +--R +-------+ (2b + 2a) |- ----- +--R | b \| b + a +--R - |- ----- atan(----------------------------------------------------) + x +--R \| b + a 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + 2b + a +--R --------------------------------------------------------------------------] +--R a +--R Type: Union(List Expression Integer,...) +--E 24 + +--S 25 of 526 +m0403a:= a0403.1-r0403 +--R +--R +--R (25) +--R +-----+ +--R | b +-----+ +--R |----- \|b + a +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4a b + 4a )sinh(x) + (8a b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4a b + 4a )cosh(x) + 8b + 12a b + 4a +--R * +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6a cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 2 3 2 2 4 +--R (4a cosh(x) + (8a b + 4a )cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 2 2 2 +--R (4a b + 2a )cosh(x) + 8b + 8a b + a +--R / +--R 4 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 +--R (6a cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (4a cosh(x) + (8b + 4a)cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 +--R (4b + 2a)cosh(x) + a +--R + +--R +-+ +--R +-+ tanh(x)\|b +--R 2\|b atanh(-----------) +--R +-----+ +--R \|b + a +--R / +--R +-----+ +--R 2a\|b + a +--R Type: Expression Integer +--E 25 + +--S 26 of 526 +d0403a:= D(m0403a,x) +--R +--R +--R (26) +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4b cosh(x))sinh(x) + b cosh(x) + 2b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) + 4b cosh(x))sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 4b + 2a b)sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (8b + 4a b)cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (4b + 2a b)cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- a b - a )sinh(x) + (- 4a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6a b - 6a )cosh(x) - 4b - 6a b - 2a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4a b - 4a )cosh(x) + (- 8b - 12a b - 4a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- a b - a )cosh(x) + (- 4b - 6a b - 2a )cosh(x) - a b - a +--R Type: Expression Integer +--E 26 + +--S 27 of 526 +m0403b:= a0403.2-r0403 +--R +--R +--R (27) +--R +-+ +--R +-+ tanh(x)\|b +--R \|b atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R - +--R +-------+ +--R | b +-----+ +--R |- ----- \|b + a +--R \| b + a +--R * +--R +-------+ +--R | b +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + 2b + a +--R / +--R +-----+ +--R a\|b + a +--R Type: Expression Integer +--E 27 + +--S 28 of 526 +d0403b:= D(m0403b,x) +--R +--R +--R (28) +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4b cosh(x))sinh(x) + b cosh(x) + 2b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) + 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) + 4b cosh(x))sinh(x) - b cosh(x) + 2b cosh(x) - b +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 4b + 2a b)sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (8b + 4a b)cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (4b + 2a b)cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- a b - a )sinh(x) + (- 4a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6a b - 6a )cosh(x) - 4b - 6a b - 2a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4a b - 4a )cosh(x) + (- 8b - 12a b - 4a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- a b - a )cosh(x) + (- 4b - 6a b - 2a )cosh(x) - a b - a +--R Type: Expression Integer +--E 28 + +--S 29 of 526 +t0404:= 1/(a+b*sech(x)^2)^2 +--R +--R +--R 1 +--R (29) ------------------------------- +--R 2 4 2 2 +--R b sech(x) + 2a b sech(x) + a +--R Type: Expression Integer +--E 29 + +--S 30 of 526 +r0404:= x/a^2-2*b^(1/2)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/(a+b)^(1/2)+1/2*b^(1/2)*(a+2*b)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/(a+b)^(3/2)-b*tanh(x)/a^2/(a+b*sech(x)^2)+1/2*b*(a+2*b)*tanh(x)/a^2/(a+b)/(a+b*sech(x)^2) +--R +--R +--R (30) +--R +-+ +--R 2 2 2 +-+ tanh(x)\|b +--R ((- 2b - 3a b)sech(x) - 2a b - 3a )\|b atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 2 +-----+ +--R (- a b tanh(x) + (2b + 2a b)x sech(x) + (2a b + 2a )x)\|b + a +--R / +--R 2 2 3 2 3 4 +-----+ +--R ((2a b + 2a b)sech(x) + 2a b + 2a )\|b + a +--R Type: Expression Integer +--E 30 + +--S 31 of 526 +a0404:= integrate(t0404,x) +--R +--R +--R (31) +--R [ +--R 2 4 2 3 +--R (2a b + 3a )sinh(x) + (8a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((12a b + 18a )cosh(x) + 8b + 16a b + 6a )sinh(x) +--R + +--R 2 3 2 2 +--R ((8a b + 12a )cosh(x) + (16b + 32a b + 12a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (2a b + 3a )cosh(x) + (8b + 16a b + 6a )cosh(x) + 2a b + 3a +--R * +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4a b + 4a )sinh(x) + (8a b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4a b + 4a )cosh(x) + 8b + 12a b + 4a +--R * +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6a cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 2 3 2 2 4 +--R (4a cosh(x) + (8a b + 4a )cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 2 2 2 +--R (4a b + 2a )cosh(x) + 8b + 8a b + a +--R / +--R 4 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 +--R (6a cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (4a cosh(x) + (8b + 4a)cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 +--R (4b + 2a)cosh(x) + a +--R + +--R 2 4 2 3 +--R (4a b + 4a )x sinh(x) + (16a b + 16a )x cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((24a b + 24a )x cosh(x) + (16b + 24a b + 8a )x + 8b + 4a b)sinh(x) +--R + +--R 2 3 +--R (16a b + 16a )x cosh(x) +--R + +--R 2 2 2 +--R ((32b + 48a b + 16a )x + 16b + 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (4a b + 4a )x cosh(x) + ((16b + 24a b + 8a )x + 8b + 4a b)cosh(x) +--R + +--R 2 +--R (4a b + 4a )x + 4a b +--R / +--R 3 4 4 3 4 3 +--R (4a b + 4a )sinh(x) + (16a b + 16a )cosh(x)sinh(x) +--R + +--R 3 4 2 2 2 3 4 2 +--R ((24a b + 24a )cosh(x) + 16a b + 24a b + 8a )sinh(x) +--R + +--R 3 4 3 2 2 3 4 +--R ((16a b + 16a )cosh(x) + (32a b + 48a b + 16a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 2 3 4 2 3 4 +--R (4a b + 4a )cosh(x) + (16a b + 24a b + 8a )cosh(x) + 4a b + 4a +--R , +--R +--R 2 4 2 3 +--R (- 2a b - 3a )sinh(x) + (- 8a b - 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 12a b - 18a )cosh(x) - 8b - 16a b - 6a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 8a b - 12a )cosh(x) + (- 16b - 32a b - 12a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- 2a b - 3a )cosh(x) + (- 8b - 16a b - 6a )cosh(x) - 2a b - 3a +--R * +--R +-------+ +--R | b +--R +-------+ (2b + 2a) |- ----- +--R | b \| b + a +--R |- ----- atan(----------------------------------------------------) +--R \| b + a 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + 2b + a +--R + +--R 2 4 2 3 +--R (2a b + 2a )x sinh(x) + (8a b + 8a )x cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((12a b + 12a )x cosh(x) + (8b + 12a b + 4a )x + 4b + 2a b)sinh(x) +--R + +--R 2 3 +--R (8a b + 8a )x cosh(x) +--R + +--R 2 2 2 +--R ((16b + 24a b + 8a )x + 8b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (2a b + 2a )x cosh(x) + ((8b + 12a b + 4a )x + 4b + 2a b)cosh(x) +--R + +--R 2 +--R (2a b + 2a )x + 2a b +--R / +--R 3 4 4 3 4 3 +--R (2a b + 2a )sinh(x) + (8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 4 2 2 2 3 4 2 +--R ((12a b + 12a )cosh(x) + 8a b + 12a b + 4a )sinh(x) +--R + +--R 3 4 3 2 2 3 4 +--R ((8a b + 8a )cosh(x) + (16a b + 24a b + 8a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 2 3 4 2 3 4 +--R (2a b + 2a )cosh(x) + (8a b + 12a b + 4a )cosh(x) + 2a b + 2a +--R ] +--R Type: Union(List Expression Integer,...) +--E 31 + +--S 32 of 526 +m0404a:= a0404.1-r0404 +--R +--R +--R (32) +--R 2 2 2 2 3 4 +--R ((2a b + 3a b)sech(x) + 2a b + 3a )sinh(x) +--R + +--R 2 2 2 2 3 3 +--R ((8a b + 12a b)cosh(x)sech(x) + (8a b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 2 3 2 2 2 +--R ((12a b + 18a b)cosh(x) + 8b + 16a b + 6a b)sech(x) +--R + +--R 2 3 2 2 2 3 +--R (12a b + 18a )cosh(x) + 8a b + 16a b + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 +--R ((8a b + 12a b)cosh(x) + (16b + 32a b + 12a b)cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 3 2 2 3 +--R (8a b + 12a )cosh(x) + (16a b + 32a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 3 2 2 2 2 +--R (2a b + 3a b)cosh(x) + (8b + 16a b + 6a b)cosh(x) + 2a b +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 4 2 2 3 2 2 3 +--R (2a b + 3a )cosh(x) + (8a b + 16a b + 6a )cosh(x) + 2a b + 3a +--R * +--R +-----+ +--R | b +-----+ +--R |----- \|b + a +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4a b + 4a )sinh(x) + (8a b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4a b + 4a )cosh(x) + 8b + 12a b + 4a +--R * +--R +-----+ +--R | b +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6a cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 2 3 2 2 4 +--R (4a cosh(x) + (8a b + 4a )cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 2 2 2 +--R (4a b + 2a )cosh(x) + 8b + 8a b + a +--R / +--R 4 3 +--R a sinh(x) + 4a cosh(x)sinh(x) +--R + +--R 2 2 +--R (6a cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (4a cosh(x) + (8b + 4a)cosh(x))sinh(x) + a cosh(x) +--R + +--R 2 +--R (4b + 2a)cosh(x) + a +--R + +--R 2 2 2 2 3 4 +--R ((4a b + 6a b)sech(x) + 4a b + 6a )sinh(x) +--R + +--R 2 2 2 2 3 3 +--R ((16a b + 24a b)cosh(x)sech(x) + (16a b + 24a )cosh(x))sinh(x) +--R + +--R 2 2 2 3 2 2 2 +--R ((24a b + 36a b)cosh(x) + 16b + 32a b + 12a b)sech(x) +--R + +--R 2 3 2 2 2 3 +--R (24a b + 36a )cosh(x) + 16a b + 32a b + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 +--R ((16a b + 24a b)cosh(x) + (32b + 64a b + 24a b)cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 3 2 2 3 +--R (16a b + 24a )cosh(x) + (32a b + 64a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 3 2 2 2 2 +--R (4a b + 6a b)cosh(x) + (16b + 32a b + 12a b)cosh(x) + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 4 2 2 3 2 2 3 +--R (4a b + 6a )cosh(x) + (16a b + 32a b + 12a )cosh(x) + 4a b + 6a +--R * +--R +-+ +--R +-+ tanh(x)\|b +--R \|b atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 4 2 3 +--R 2a b sinh(x) + 8a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (12a b cosh(x) + 8a b + 4a b)sinh(x) +--R + +--R 2 3 2 2 2 4 +--R (8a b cosh(x) + (16a b + 8a b)cosh(x))sinh(x) + 2a b cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 4a b)cosh(x) + 2a b +--R * +--R tanh(x) +--R + +--R 3 2 2 2 2 2 +--R ((8b + 4a b )sech(x) + 8a b + 4a b)sinh(x) +--R + +--R 3 2 2 2 2 +--R ((16b + 8a b )cosh(x)sech(x) + (16a b + 8a b)cosh(x))sinh(x) +--R + +--R 3 2 2 2 2 2 2 2 2 +--R ((8b + 4a b )cosh(x) + 4a b )sech(x) + (8a b + 4a b)cosh(x) + 4a b +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 2 4 2 4 5 4 +--R ((4a b + 4a b)sech(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 4 2 4 5 3 +--R ((16a b + 16a b)cosh(x)sech(x) + (16a b + 16a )cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 3 3 2 4 2 +--R ((24a b + 24a b)cosh(x) + 16a b + 24a b + 8a b)sech(x) +--R + +--R 4 5 2 3 2 4 5 +--R (24a b + 24a )cosh(x) + 16a b + 24a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 3 2 3 3 2 4 +--R ((16a b + 16a b)cosh(x) + (32a b + 48a b + 16a b)cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 3 3 2 4 5 +--R (16a b + 16a )cosh(x) + (32a b + 48a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 4 4 2 3 3 2 4 2 3 2 +--R (4a b + 4a b)cosh(x) + (16a b + 24a b + 8a b)cosh(x) + 4a b +--R + +--R 4 +--R 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 2 4 5 2 4 5 +--R (4a b + 4a )cosh(x) + (16a b + 24a b + 8a )cosh(x) + 4a b + 4a +--R * +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 32 + +--S 33 of 526 +d0404a:= D(m0404a,x) +--R +--R +--R (33) +--R 2 3 2 3 2 8 +--R (a b sech(x) - a b )sinh(x) +--R + +--R 2 3 2 3 2 7 +--R (8a b cosh(x)sech(x) - 8a b cosh(x))sinh(x) +--R + +--R 2 3 2 4 2 3 2 3 2 2 2 3 +--R (28a b cosh(x) + 8a b + 4a b )sech(x) - 28a b cosh(x) - 8a b +--R + +--R 3 2 +--R - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 4 2 3 2 +--R (56a b cosh(x) + (48a b + 24a b )cosh(x))sech(x) +--R + +--R 3 2 3 2 3 3 2 +--R - 56a b cosh(x) + (- 48a b - 24a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 4 2 3 2 5 4 +--R 70a b cosh(x) + (120a b + 60a b )cosh(x) + 16b + 16a b +--R + +--R 2 3 +--R 6a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 2 3 3 2 2 4 2 3 +--R - 70a b cosh(x) + (- 120a b - 60a b )cosh(x) - 16a b - 16a b +--R + +--R 3 2 +--R - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 5 4 2 3 3 +--R 56a b cosh(x) + (160a b + 80a b )cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 64a b + 24a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 5 2 3 3 2 3 +--R - 56a b cosh(x) + (- 160a b - 80a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 64a b - 64a b - 24a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 6 4 2 3 4 +--R 28a b cosh(x) + (120a b + 60a b )cosh(x) +--R + +--R 5 4 2 3 2 4 2 3 +--R (96b + 96a b + 36a b )cosh(x) + 8a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 6 2 3 3 2 4 +--R - 28a b cosh(x) + (- 120a b - 60a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (- 96a b - 96a b - 36a b )cosh(x) - 8a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 7 4 2 3 5 +--R 8a b cosh(x) + (48a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 4 2 3 +--R (64b + 64a b + 24a b )cosh(x) + (16a b + 8a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 7 2 3 3 2 5 +--R - 8a b cosh(x) + (- 48a b - 24a b )cosh(x) +--R + +--R 4 2 3 3 2 3 2 3 3 2 +--R (- 64a b - 64a b - 24a b )cosh(x) + (- 16a b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 8 4 2 3 6 +--R a b cosh(x) + (8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 4 4 2 3 2 2 3 +--R (16b + 16a b + 6a b )cosh(x) + (8a b + 4a b )cosh(x) + a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 8 2 3 3 2 6 +--R - a b cosh(x) + (- 8a b - 4a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 2 3 2 +--R (- 16a b - 16a b - 6a b )cosh(x) + (- 8a b - 4a b )cosh(x) - a b +--R * +--R 4 +--R tanh(x) +--R + +--R 4 2 3 4 2 3 3 2 2 3 2 4 +--R ((2a b + 3a b )sech(x) + (4a b + 5a b )sech(x) + 4a b + 4a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (16a b + 24a b )cosh(x)sech(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (32a b + 40a b )cosh(x)sech(x) + (32a b + 32a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 2 4 2 3 4 +--R ((56a b + 84a b )cosh(x) + 16a b + 12a b )sech(x) +--R + +--R 2 3 3 2 2 2 3 3 2 2 +--R ((112a b + 140a b )cosh(x) + 24a b + 20a b )sech(x) +--R + +--R 3 2 4 2 2 3 3 2 4 +--R (112a b + 112a b)cosh(x) + 16a b + 32a b + 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 4 2 3 4 +--R ((112a b + 168a b )cosh(x) + (96a b + 72a b )cosh(x))sech(x) +--R + +--R 2 3 3 2 3 2 3 3 2 +--R ((224a b + 280a b )cosh(x) + (144a b + 120a b )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 3 3 2 4 +--R (224a b + 224a b)cosh(x) + (96a b + 192a b + 96a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 4 2 3 2 +--R (140a b + 210a b )cosh(x) + (240a b + 180a b )cosh(x) +--R + +--R 5 4 2 3 +--R 16b + 28a b + 18a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 4 2 3 3 2 2 +--R (280a b + 350a b )cosh(x) + (360a b + 300a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R 16a b + 40a b + 30a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 4 2 3 3 2 4 2 +--R (280a b + 280a b)cosh(x) + (240a b + 480a b + 240a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R 32a b + 64a b + 56a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 4 2 3 3 +--R (112a b + 168a b )cosh(x) + (320a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 112a b + 72a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 5 2 3 3 2 3 +--R (224a b + 280a b )cosh(x) + (480a b + 400a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (64a b + 160a b + 120a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 5 2 3 3 2 4 3 +--R (224a b + 224a b)cosh(x) + (320a b + 640a b + 320a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (128a b + 256a b + 224a b + 96a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 4 2 3 4 +--R (56a b + 84a b )cosh(x) + (240a b + 180a b )cosh(x) +--R + +--R 5 4 2 3 2 4 2 3 +--R (96b + 168a b + 108a b )cosh(x) + 16a b + 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 6 2 3 3 2 4 +--R (112a b + 140a b )cosh(x) + (360a b + 300a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (96a b + 240a b + 180a b )cosh(x) + 24a b + 20a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 6 2 3 3 2 4 4 +--R (112a b + 112a b)cosh(x) + (240a b + 480a b + 240a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 2 3 3 2 +--R (192a b + 384a b + 336a b + 144a b)cosh(x) + 16a b + 32a b +--R + +--R 4 +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 4 2 3 5 +--R (16a b + 24a b )cosh(x) + (96a b + 72a b )cosh(x) +--R + +--R 5 4 2 3 3 4 2 3 +--R (64b + 112a b + 72a b )cosh(x) + (32a b + 24a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 7 2 3 3 2 5 +--R (32a b + 40a b )cosh(x) + (144a b + 120a b )cosh(x) +--R + +--R 4 2 3 3 2 3 2 3 3 2 +--R (64a b + 160a b + 120a b )cosh(x) + (48a b + 40a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 7 2 3 3 2 4 5 +--R (32a b + 32a b)cosh(x) + (96a b + 192a b + 96a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (128a b + 256a b + 224a b + 96a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (32a b + 64a b + 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 4 2 3 6 +--R (2a b + 3a b )cosh(x) + (16a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 4 4 2 3 2 +--R (16b + 28a b + 18a b )cosh(x) + (16a b + 12a b )cosh(x) +--R + +--R 4 2 3 +--R 2a b + 3a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 8 2 3 3 2 6 +--R (4a b + 5a b )cosh(x) + (24a b + 20a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 2 +--R (16a b + 40a b + 30a b )cosh(x) + (24a b + 20a b )cosh(x) +--R + +--R 2 3 3 2 +--R 4a b + 5a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 8 2 3 3 2 4 6 +--R (4a b + 4a b)cosh(x) + (16a b + 32a b + 16a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (32a b + 64a b + 56a b + 24a b)cosh(x) +--R + +--R 2 3 3 2 4 2 3 2 4 +--R (16a b + 32a b + 16a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 2 3 4 2 3 3 2 2 3 2 4 +--R ((- 2a b - 3a b )sech(x) + (- 5a b - 7a b )sech(x) - 3a b - 4a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (- 16a b - 24a b )cosh(x)sech(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 40a b - 56a b )cosh(x)sech(x) + (- 24a b - 32a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 2 2 3 4 +--R ((- 56a b - 84a b )cosh(x) + 4a b )sech(x) +--R + +--R 2 3 3 2 2 4 2 3 3 2 2 +--R ((- 140a b - 196a b )cosh(x) - 8a b - 12a b + 4a b )sech(x) +--R + +--R 3 2 4 2 2 3 3 2 +--R (- 84a b - 112a b)cosh(x) - 8a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 4 +--R ((- 112a b - 168a b )cosh(x) + 24a b cosh(x))sech(x) +--R + +--R 2 3 3 2 3 +--R (- 280a b - 392a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 48a b - 72a b + 24a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 3 3 2 +--R (- 168a b - 224a b)cosh(x) + (- 48a b - 72a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 2 3 2 5 4 +--R (- 140a b - 210a b )cosh(x) + 60a b cosh(x) + 16b + 36a b +--R + +--R 2 3 +--R 14a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 4 +--R (- 350a b - 490a b )cosh(x) +--R + +--R 4 2 3 3 2 2 5 2 3 3 2 +--R (- 120a b - 180a b + 60a b )cosh(x) - 16b + 50a b + 22a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 4 2 3 3 2 2 4 +--R (- 210a b - 280a b)cosh(x) + (- 120a b - 180a b )cosh(x) - 16a b +--R + +--R 2 3 3 2 4 +--R - 16a b + 14a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 2 3 3 +--R (- 112a b - 168a b )cosh(x) + 80a b cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 144a b + 56a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 5 +--R (- 280a b - 392a b )cosh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 160a b - 240a b + 80a b )cosh(x) +--R + +--R 5 2 3 3 2 +--R (- 64b + 200a b + 88a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 5 2 3 3 2 3 +--R (- 168a b - 224a b)cosh(x) + (- 160a b - 240a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 64a b - 64a b + 56a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 2 3 4 +--R (- 56a b - 84a b )cosh(x) + 60a b cosh(x) +--R + +--R 5 4 2 3 2 2 3 +--R (96b + 216a b + 84a b )cosh(x) + 4a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 6 +--R (- 140a b - 196a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 120a b - 180a b + 60a b )cosh(x) +--R + +--R 5 2 3 3 2 2 4 2 3 3 2 +--R (- 96b + 300a b + 132a b )cosh(x) - 8a b - 12a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 6 2 3 3 2 4 +--R (- 84a b - 112a b)cosh(x) + (- 120a b - 180a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 2 3 3 2 +--R (- 96a b - 96a b + 84a b + 48a b)cosh(x) - 8a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 2 3 5 +--R (- 16a b - 24a b )cosh(x) + 24a b cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (64b + 144a b + 56a b )cosh(x) + 8a b cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 7 +--R (- 40a b - 56a b )cosh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 48a b - 72a b + 24a b )cosh(x) +--R + +--R 5 2 3 3 2 3 +--R (- 64b + 200a b + 88a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 16a b - 24a b + 8a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 7 2 3 3 2 5 +--R (- 24a b - 32a b)cosh(x) + (- 48a b - 72a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 64a b - 64a b + 56a b + 32a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 16a b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 2 3 6 +--R (- 2a b - 3a b )cosh(x) + 4a b cosh(x) +--R + +--R 5 4 2 3 4 2 3 2 4 2 3 +--R (16b + 36a b + 14a b )cosh(x) + 4a b cosh(x) - 2a b - 3a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 8 4 2 3 3 2 6 +--R (- 5a b - 7a b )cosh(x) + (- 8a b - 12a b + 4a b )cosh(x) +--R + +--R 5 2 3 3 2 4 +--R (- 16b + 50a b + 22a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (- 8a b - 12a b + 4a b )cosh(x) - 5a b - 7a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 8 2 3 3 2 6 +--R (- 3a b - 4a b)cosh(x) + (- 8a b - 12a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 2 3 3 2 2 +--R (- 16a b - 16a b + 14a b + 8a b)cosh(x) + (- 8a b - 12a b )cosh(x) +--R + +--R 3 2 4 +--R - 3a b - 4a b +--R / +--R 3 4 4 3 4 4 3 5 2 2 5 2 6 +--R ((2a b + 2a b )sech(x) + (4a b + 4a b )sech(x) + 2a b + 2a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 4 4 3 4 +--R (16a b + 16a b )cosh(x)sech(x) +--R + +--R 4 3 5 2 2 5 2 6 +--R (32a b + 32a b )cosh(x)sech(x) + (16a b + 16a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 2 2 5 3 4 4 3 4 +--R ((56a b + 56a b )cosh(x) + 16a b + 24a b + 8a b )sech(x) +--R + +--R 4 3 5 2 2 3 4 4 3 5 2 2 +--R ((112a b + 112a b )cosh(x) + 32a b + 48a b + 16a b )sech(x) +--R + +--R 5 2 6 2 4 3 5 2 6 +--R (56a b + 56a b)cosh(x) + 16a b + 24a b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 4 4 3 3 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 +--R (96a b + 144a b + 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 3 +--R (224a b + 224a b )cosh(x) +--R + +--R 3 4 4 3 5 2 +--R (192a b + 288a b + 96a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 3 4 3 5 2 6 +--R (112a b + 112a b)cosh(x) + (96a b + 144a b + 48a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 4 3 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 2 5 3 4 4 3 2 6 2 5 +--R (240a b + 360a b + 120a b )cosh(x) + 32a b + 64a b +--R + +--R 3 4 4 3 +--R 44a b + 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 4 +--R (280a b + 280a b )cosh(x) +--R + +--R 3 4 4 3 5 2 2 2 5 3 4 +--R (480a b + 720a b + 240a b )cosh(x) + 64a b + 128a b +--R + +--R 4 3 5 2 +--R 88a b + 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 4 4 3 5 2 6 2 +--R (140a b + 140a b)cosh(x) + (240a b + 360a b + 120a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R 32a b + 64a b + 44a b + 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 4 4 3 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 3 +--R (320a b + 480a b + 160a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 +--R (128a b + 256a b + 176a b + 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 5 +--R (224a b + 224a b )cosh(x) +--R + +--R 3 4 4 3 5 2 3 +--R (640a b + 960a b + 320a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (256a b + 512a b + 352a b + 96a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 5 4 3 5 2 6 3 +--R (112a b + 112a b)cosh(x) + (320a b + 480a b + 160a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (128a b + 256a b + 176a b + 48a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 4 3 6 +--R (56a b + 56a b )cosh(x) +--R + +--R 2 5 3 4 4 3 4 +--R (240a b + 360a b + 120a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 2 2 5 +--R (192a b + 384a b + 264a b + 72a b )cosh(x) + 16a b +--R + +--R 3 4 4 3 +--R 24a b + 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (480a b + 720a b + 240a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 3 4 +--R (384a b + 768a b + 528a b + 144a b )cosh(x) + 32a b +--R + +--R 4 3 5 2 +--R 48a b + 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 6 4 3 5 2 6 4 +--R (56a b + 56a b)cosh(x) + (240a b + 360a b + 120a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 4 3 5 2 +--R (192a b + 384a b + 264a b + 72a b)cosh(x) + 16a b + 24a b +--R + +--R 6 +--R 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 4 3 7 +--R (16a b + 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 +--R (96a b + 144a b + 48a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 3 +--R (128a b + 256a b + 176a b + 48a b )cosh(x) +--R + +--R 2 5 3 4 4 3 +--R (32a b + 48a b + 16a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 7 +--R (32a b + 32a b )cosh(x) +--R + +--R 3 4 4 3 5 2 5 +--R (192a b + 288a b + 96a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (256a b + 512a b + 352a b + 96a b )cosh(x) +--R + +--R 3 4 4 3 5 2 +--R (64a b + 96a b + 32a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 4 3 5 2 6 5 +--R (16a b + 16a b)cosh(x) + (96a b + 144a b + 48a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 3 +--R (128a b + 256a b + 176a b + 48a b)cosh(x) +--R + +--R 4 3 5 2 6 +--R (32a b + 48a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 4 4 3 8 2 5 3 4 4 3 6 +--R (2a b + 2a b )cosh(x) + (16a b + 24a b + 8a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 4 +--R (32a b + 64a b + 44a b + 12a b )cosh(x) +--R + +--R 2 5 3 4 4 3 2 3 4 4 3 +--R (16a b + 24a b + 8a b )cosh(x) + 2a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 8 3 4 4 3 5 2 6 +--R (4a b + 4a b )cosh(x) + (32a b + 48a b + 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (64a b + 128a b + 88a b + 24a b )cosh(x) +--R + +--R 3 4 4 3 5 2 2 4 3 5 2 +--R (32a b + 48a b + 16a b )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 8 4 3 5 2 6 6 +--R (2a b + 2a b)cosh(x) + (16a b + 24a b + 8a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 4 +--R (32a b + 64a b + 44a b + 12a b)cosh(x) +--R + +--R 4 3 5 2 6 2 5 2 6 +--R (16a b + 24a b + 8a b)cosh(x) + 2a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 4 4 3 5 2 4 4 3 5 2 6 2 +--R (- 2a b - 4a b - 2a b )sech(x) + (- 4a b - 8a b - 4a b)sech(x) +--R + +--R 5 2 6 7 +--R - 2a b - 4a b - 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (- 16a b - 32a b - 16a b )cosh(x)sech(x) +--R + +--R 4 3 5 2 6 2 +--R (- 32a b - 64a b - 32a b)cosh(x)sech(x) +--R + +--R 5 2 6 7 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 2 2 5 3 4 4 3 +--R (- 56a b - 112a b - 56a b )cosh(x) - 16a b - 40a b - 32a b +--R + +--R 5 2 +--R - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 2 3 4 4 3 5 2 +--R (- 112a b - 224a b - 112a b)cosh(x) - 32a b - 80a b - 64a b +--R + +--R 6 +--R - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 2 4 3 5 2 6 7 +--R (- 56a b - 112a b - 56a )cosh(x) - 16a b - 40a b - 32a b - 8a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 3 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (- 96a b - 240a b - 192a b - 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 3 +--R (- 224a b - 448a b - 224a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 192a b - 480a b - 384a b - 96a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 3 +--R (- 112a b - 224a b - 112a )cosh(x) +--R + +--R 4 3 5 2 6 7 +--R (- 96a b - 240a b - 192a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (- 140a b - 280a b - 140a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 6 +--R (- 240a b - 600a b - 480a b - 120a b )cosh(x) - 32a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 96a b - 108a b - 56a b - 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 4 +--R (- 280a b - 560a b - 280a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 2 5 +--R (- 480a b - 1200a b - 960a b - 240a b)cosh(x) - 64a b +--R + +--R 3 4 4 3 5 2 6 +--R - 192a b - 216a b - 112a b - 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 4 +--R (- 140a b - 280a b - 140a )cosh(x) +--R + +--R 4 3 5 2 6 7 2 3 4 4 3 +--R (- 240a b - 600a b - 480a b - 120a )cosh(x) - 32a b - 96a b +--R + +--R 5 2 6 7 +--R - 108a b - 56a b - 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 5 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (- 320a b - 800a b - 640a b - 160a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (- 128a b - 384a b - 432a b - 224a b - 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 5 +--R (- 224a b - 448a b - 224a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 3 +--R (- 640a b - 1600a b - 1280a b - 320a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 256a b - 768a b - 864a b - 448a b - 96a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 5 +--R (- 112a b - 224a b - 112a )cosh(x) +--R + +--R 4 3 5 2 6 7 3 +--R (- 320a b - 800a b - 640a b - 160a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 128a b - 384a b - 432a b - 224a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 56a b - 112a b - 56a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (- 240a b - 600a b - 480a b - 120a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 2 +--R (- 192a b - 576a b - 648a b - 336a b - 72a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 16a b - 40a b - 32a b - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 6 +--R (- 112a b - 224a b - 112a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 4 +--R (- 480a b - 1200a b - 960a b - 240a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 +--R (- 384a b - 1152a b - 1296a b - 672a b - 144a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R - 32a b - 80a b - 64a b - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 6 +--R (- 56a b - 112a b - 56a )cosh(x) +--R + +--R 4 3 5 2 6 7 4 +--R (- 240a b - 600a b - 480a b - 120a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 2 4 3 +--R (- 192a b - 576a b - 648a b - 336a b - 72a )cosh(x) - 16a b +--R + +--R 5 2 6 7 +--R - 40a b - 32a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 7 +--R (- 16a b - 32a b - 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 5 +--R (- 96a b - 240a b - 192a b - 48a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 3 +--R (- 128a b - 384a b - 432a b - 224a b - 48a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (- 32a b - 80a b - 64a b - 16a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 7 +--R (- 32a b - 64a b - 32a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 5 +--R (- 192a b - 480a b - 384a b - 96a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 +--R (- 256a b - 768a b - 864a b - 448a b - 96a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 64a b - 160a b - 128a b - 32a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 7 +--R (- 16a b - 32a b - 16a )cosh(x) +--R + +--R 4 3 5 2 6 7 5 +--R (- 96a b - 240a b - 192a b - 48a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (- 128a b - 384a b - 432a b - 224a b - 48a )cosh(x) +--R + +--R 4 3 5 2 6 7 +--R (- 32a b - 80a b - 64a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 4 4 3 5 2 8 +--R (- 2a b - 4a b - 2a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 16a b - 40a b - 32a b - 8a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 4 +--R (- 32a b - 96a b - 108a b - 56a b - 12a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 3 4 4 3 5 2 +--R (- 16a b - 40a b - 32a b - 8a b )cosh(x) - 2a b - 4a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 8 +--R (- 4a b - 8a b - 4a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (- 32a b - 80a b - 64a b - 16a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (- 64a b - 192a b - 216a b - 112a b - 24a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 4 3 5 2 6 +--R (- 32a b - 80a b - 64a b - 16a b)cosh(x) - 4a b - 8a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 8 +--R (- 2a b - 4a b - 2a )cosh(x) +--R + +--R 4 3 5 2 6 7 6 +--R (- 16a b - 40a b - 32a b - 8a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- 32a b - 96a b - 108a b - 56a b - 12a )cosh(x) +--R + +--R 4 3 5 2 6 7 2 5 2 6 7 +--R (- 16a b - 40a b - 32a b - 8a )cosh(x) - 2a b - 4a b - 2a +--R Type: Expression Integer +--E 33 + +--S 34 of 526 +m0404b:= a0404.2-r0404 +--R +--R +--R (34) +--R 2 2 2 2 3 4 +--R ((2a b + 3a b)sech(x) + 2a b + 3a )sinh(x) +--R + +--R 2 2 2 2 3 3 +--R ((8a b + 12a b)cosh(x)sech(x) + (8a b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 2 3 2 2 2 +--R ((12a b + 18a b)cosh(x) + 8b + 16a b + 6a b)sech(x) +--R + +--R 2 3 2 2 2 3 +--R (12a b + 18a )cosh(x) + 8a b + 16a b + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 +--R ((8a b + 12a b)cosh(x) + (16b + 32a b + 12a b)cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 3 2 2 3 +--R (8a b + 12a )cosh(x) + (16a b + 32a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 3 2 2 2 2 +--R (2a b + 3a b)cosh(x) + (8b + 16a b + 6a b)cosh(x) + 2a b +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 4 2 2 3 2 2 3 +--R (2a b + 3a )cosh(x) + (8a b + 16a b + 6a )cosh(x) + 2a b + 3a +--R * +--R +-+ +--R +-+ tanh(x)\|b +--R \|b atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 2 2 3 4 +--R ((- 2a b - 3a b)sech(x) - 2a b - 3a )sinh(x) +--R + +--R 2 2 2 2 3 3 +--R ((- 8a b - 12a b)cosh(x)sech(x) + (- 8a b - 12a )cosh(x))sinh(x) +--R + +--R 2 2 2 3 2 2 2 +--R ((- 12a b - 18a b)cosh(x) - 8b - 16a b - 6a b)sech(x) +--R + +--R 2 3 2 2 2 3 +--R (- 12a b - 18a )cosh(x) - 8a b - 16a b - 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 +--R ((- 8a b - 12a b)cosh(x) + (- 16b - 32a b - 12a b)cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 3 2 2 3 +--R (- 8a b - 12a )cosh(x) + (- 16a b - 32a b - 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R (- 2a b - 3a b)cosh(x) + (- 8b - 16a b - 6a b)cosh(x) +--R + +--R 2 2 +--R - 2a b - 3a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 3 4 2 2 3 2 2 3 +--R (- 2a b - 3a )cosh(x) + (- 8a b - 16a b - 6a )cosh(x) - 2a b - 3a +--R * +--R +-------+ +--R | b +-----+ +--R |- ----- \|b + a +--R \| b + a +--R * +--R +-------+ +--R | b +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) + 2b + a +--R + +--R 2 4 2 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (6a b cosh(x) + 4a b + 2a b)sinh(x) +--R + +--R 2 3 2 2 2 4 +--R (4a b cosh(x) + (8a b + 4a b)cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 2 2 +--R (4a b + 2a b)cosh(x) + a b +--R * +--R tanh(x) +--R + +--R 3 2 2 2 2 2 +--R ((4b + 2a b )sech(x) + 4a b + 2a b)sinh(x) +--R + +--R 3 2 2 2 2 +--R ((8b + 4a b )cosh(x)sech(x) + (8a b + 4a b)cosh(x))sinh(x) +--R + +--R 3 2 2 2 2 2 2 2 2 +--R ((4b + 2a b )cosh(x) + 2a b )sech(x) + (4a b + 2a b)cosh(x) + 2a b +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 2 4 2 4 5 4 +--R ((2a b + 2a b)sech(x) + 2a b + 2a )sinh(x) +--R + +--R 3 2 4 2 4 5 3 +--R ((8a b + 8a b)cosh(x)sech(x) + (8a b + 8a )cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 3 3 2 4 2 +--R ((12a b + 12a b)cosh(x) + 8a b + 12a b + 4a b)sech(x) +--R + +--R 4 5 2 3 2 4 5 +--R (12a b + 12a )cosh(x) + 8a b + 12a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 3 2 3 3 2 4 2 +--R ((8a b + 8a b)cosh(x) + (16a b + 24a b + 8a b)cosh(x))sech(x) +--R + +--R 4 5 3 3 2 4 5 +--R (8a b + 8a )cosh(x) + (16a b + 24a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 4 4 2 3 3 2 4 2 3 2 +--R (2a b + 2a b)cosh(x) + (8a b + 12a b + 4a b)cosh(x) + 2a b +--R + +--R 4 +--R 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 2 4 5 2 4 5 +--R (2a b + 2a )cosh(x) + (8a b + 12a b + 4a )cosh(x) + 2a b + 2a +--R * +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 34 + +--S 35 of 526 +d0404b:= D(m0404b,x) +--R +--R +--R (35) +--R 2 3 2 3 2 8 +--R (a b sech(x) - a b )sinh(x) +--R + +--R 2 3 2 3 2 7 +--R (8a b cosh(x)sech(x) - 8a b cosh(x))sinh(x) +--R + +--R 2 3 2 4 2 3 2 3 2 2 2 3 +--R (28a b cosh(x) + 8a b + 4a b )sech(x) - 28a b cosh(x) - 8a b +--R + +--R 3 2 +--R - 4a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 4 2 3 2 +--R (56a b cosh(x) + (48a b + 24a b )cosh(x))sech(x) +--R + +--R 3 2 3 2 3 3 2 +--R - 56a b cosh(x) + (- 48a b - 24a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 4 4 2 3 2 5 4 +--R 70a b cosh(x) + (120a b + 60a b )cosh(x) + 16b + 16a b +--R + +--R 2 3 +--R 6a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 2 3 3 2 2 4 2 3 +--R - 70a b cosh(x) + (- 120a b - 60a b )cosh(x) - 16a b - 16a b +--R + +--R 3 2 +--R - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 5 4 2 3 3 +--R 56a b cosh(x) + (160a b + 80a b )cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 64a b + 24a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 5 2 3 3 2 3 +--R - 56a b cosh(x) + (- 160a b - 80a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 64a b - 64a b - 24a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 6 4 2 3 4 +--R 28a b cosh(x) + (120a b + 60a b )cosh(x) +--R + +--R 5 4 2 3 2 4 2 3 +--R (96b + 96a b + 36a b )cosh(x) + 8a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 6 2 3 3 2 4 +--R - 28a b cosh(x) + (- 120a b - 60a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (- 96a b - 96a b - 36a b )cosh(x) - 8a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 7 4 2 3 5 +--R 8a b cosh(x) + (48a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 4 2 3 +--R (64b + 64a b + 24a b )cosh(x) + (16a b + 8a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 7 2 3 3 2 5 +--R - 8a b cosh(x) + (- 48a b - 24a b )cosh(x) +--R + +--R 4 2 3 3 2 3 2 3 3 2 +--R (- 64a b - 64a b - 24a b )cosh(x) + (- 16a b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 8 4 2 3 6 +--R a b cosh(x) + (8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 4 4 2 3 2 2 3 +--R (16b + 16a b + 6a b )cosh(x) + (8a b + 4a b )cosh(x) + a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 8 2 3 3 2 6 +--R - a b cosh(x) + (- 8a b - 4a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 2 3 2 +--R (- 16a b - 16a b - 6a b )cosh(x) + (- 8a b - 4a b )cosh(x) - a b +--R * +--R 4 +--R tanh(x) +--R + +--R 4 2 3 4 2 3 3 2 2 3 2 4 +--R ((2a b + 3a b )sech(x) + (4a b + 5a b )sech(x) + 4a b + 4a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (16a b + 24a b )cosh(x)sech(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (32a b + 40a b )cosh(x)sech(x) + (32a b + 32a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 2 4 2 3 4 +--R ((56a b + 84a b )cosh(x) + 16a b + 12a b )sech(x) +--R + +--R 2 3 3 2 2 2 3 3 2 2 +--R ((112a b + 140a b )cosh(x) + 24a b + 20a b )sech(x) +--R + +--R 3 2 4 2 2 3 3 2 4 +--R (112a b + 112a b)cosh(x) + 16a b + 32a b + 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 4 2 3 4 +--R ((112a b + 168a b )cosh(x) + (96a b + 72a b )cosh(x))sech(x) +--R + +--R 2 3 3 2 3 2 3 3 2 +--R ((224a b + 280a b )cosh(x) + (144a b + 120a b )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 3 3 2 4 +--R (224a b + 224a b)cosh(x) + (96a b + 192a b + 96a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 4 2 3 2 +--R (140a b + 210a b )cosh(x) + (240a b + 180a b )cosh(x) +--R + +--R 5 4 2 3 +--R 16b + 28a b + 18a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 4 2 3 3 2 2 +--R (280a b + 350a b )cosh(x) + (360a b + 300a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R 16a b + 40a b + 30a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 4 2 3 3 2 4 2 +--R (280a b + 280a b)cosh(x) + (240a b + 480a b + 240a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R 32a b + 64a b + 56a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 4 2 3 3 +--R (112a b + 168a b )cosh(x) + (320a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 112a b + 72a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 5 2 3 3 2 3 +--R (224a b + 280a b )cosh(x) + (480a b + 400a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (64a b + 160a b + 120a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 5 2 3 3 2 4 3 +--R (224a b + 224a b)cosh(x) + (320a b + 640a b + 320a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (128a b + 256a b + 224a b + 96a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 4 2 3 4 +--R (56a b + 84a b )cosh(x) + (240a b + 180a b )cosh(x) +--R + +--R 5 4 2 3 2 4 2 3 +--R (96b + 168a b + 108a b )cosh(x) + 16a b + 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 6 2 3 3 2 4 +--R (112a b + 140a b )cosh(x) + (360a b + 300a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (96a b + 240a b + 180a b )cosh(x) + 24a b + 20a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 6 2 3 3 2 4 4 +--R (112a b + 112a b)cosh(x) + (240a b + 480a b + 240a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 2 3 3 2 +--R (192a b + 384a b + 336a b + 144a b)cosh(x) + 16a b + 32a b +--R + +--R 4 +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 4 2 3 5 +--R (16a b + 24a b )cosh(x) + (96a b + 72a b )cosh(x) +--R + +--R 5 4 2 3 3 4 2 3 +--R (64b + 112a b + 72a b )cosh(x) + (32a b + 24a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 7 2 3 3 2 5 +--R (32a b + 40a b )cosh(x) + (144a b + 120a b )cosh(x) +--R + +--R 4 2 3 3 2 3 2 3 3 2 +--R (64a b + 160a b + 120a b )cosh(x) + (48a b + 40a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 7 2 3 3 2 4 5 +--R (32a b + 32a b)cosh(x) + (96a b + 192a b + 96a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (128a b + 256a b + 224a b + 96a b)cosh(x) +--R + +--R 2 3 3 2 4 +--R (32a b + 64a b + 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 4 2 3 6 +--R (2a b + 3a b )cosh(x) + (16a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 4 4 2 3 2 +--R (16b + 28a b + 18a b )cosh(x) + (16a b + 12a b )cosh(x) +--R + +--R 4 2 3 +--R 2a b + 3a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 8 2 3 3 2 6 +--R (4a b + 5a b )cosh(x) + (24a b + 20a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 2 +--R (16a b + 40a b + 30a b )cosh(x) + (24a b + 20a b )cosh(x) +--R + +--R 2 3 3 2 +--R 4a b + 5a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 8 2 3 3 2 4 6 +--R (4a b + 4a b)cosh(x) + (16a b + 32a b + 16a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (32a b + 64a b + 56a b + 24a b)cosh(x) +--R + +--R 2 3 3 2 4 2 3 2 4 +--R (16a b + 32a b + 16a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 2 3 4 2 3 3 2 2 3 2 4 +--R ((- 2a b - 3a b )sech(x) + (- 5a b - 7a b )sech(x) - 3a b - 4a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 4 +--R (- 16a b - 24a b )cosh(x)sech(x) +--R + +--R 2 3 3 2 2 3 2 4 +--R (- 40a b - 56a b )cosh(x)sech(x) + (- 24a b - 32a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 2 2 3 4 +--R ((- 56a b - 84a b )cosh(x) + 4a b )sech(x) +--R + +--R 2 3 3 2 2 4 2 3 3 2 2 +--R ((- 140a b - 196a b )cosh(x) - 8a b - 12a b + 4a b )sech(x) +--R + +--R 3 2 4 2 2 3 3 2 +--R (- 84a b - 112a b)cosh(x) - 8a b - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 4 +--R ((- 112a b - 168a b )cosh(x) + 24a b cosh(x))sech(x) +--R + +--R 2 3 3 2 3 +--R (- 280a b - 392a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 48a b - 72a b + 24a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 3 3 2 +--R (- 168a b - 224a b)cosh(x) + (- 48a b - 72a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 4 2 3 2 5 4 +--R (- 140a b - 210a b )cosh(x) + 60a b cosh(x) + 16b + 36a b +--R + +--R 2 3 +--R 14a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 4 +--R (- 350a b - 490a b )cosh(x) +--R + +--R 4 2 3 3 2 2 5 2 3 3 2 +--R (- 120a b - 180a b + 60a b )cosh(x) - 16b + 50a b + 22a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 4 2 3 3 2 2 4 +--R (- 210a b - 280a b)cosh(x) + (- 120a b - 180a b )cosh(x) - 16a b +--R + +--R 2 3 3 2 4 +--R - 16a b + 14a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 5 2 3 3 +--R (- 112a b - 168a b )cosh(x) + 80a b cosh(x) +--R + +--R 5 4 2 3 +--R (64b + 144a b + 56a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 5 +--R (- 280a b - 392a b )cosh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 160a b - 240a b + 80a b )cosh(x) +--R + +--R 5 2 3 3 2 +--R (- 64b + 200a b + 88a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 5 2 3 3 2 3 +--R (- 168a b - 224a b)cosh(x) + (- 160a b - 240a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 64a b - 64a b + 56a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 6 2 3 4 +--R (- 56a b - 84a b )cosh(x) + 60a b cosh(x) +--R + +--R 5 4 2 3 2 2 3 +--R (96b + 216a b + 84a b )cosh(x) + 4a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 6 +--R (- 140a b - 196a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 120a b - 180a b + 60a b )cosh(x) +--R + +--R 5 2 3 3 2 2 4 2 3 3 2 +--R (- 96b + 300a b + 132a b )cosh(x) - 8a b - 12a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 6 2 3 3 2 4 +--R (- 84a b - 112a b)cosh(x) + (- 120a b - 180a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 2 3 3 2 +--R (- 96a b - 96a b + 84a b + 48a b)cosh(x) - 8a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 7 2 3 5 +--R (- 16a b - 24a b )cosh(x) + 24a b cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (64b + 144a b + 56a b )cosh(x) + 8a b cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 7 +--R (- 40a b - 56a b )cosh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 48a b - 72a b + 24a b )cosh(x) +--R + +--R 5 2 3 3 2 3 +--R (- 64b + 200a b + 88a b )cosh(x) +--R + +--R 4 2 3 3 2 +--R (- 16a b - 24a b + 8a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 7 2 3 3 2 5 +--R (- 24a b - 32a b)cosh(x) + (- 48a b - 72a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 64a b - 64a b + 56a b + 32a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 16a b - 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 8 2 3 6 +--R (- 2a b - 3a b )cosh(x) + 4a b cosh(x) +--R + +--R 5 4 2 3 4 2 3 2 4 2 3 +--R (16b + 36a b + 14a b )cosh(x) + 4a b cosh(x) - 2a b - 3a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 3 3 2 8 4 2 3 3 2 6 +--R (- 5a b - 7a b )cosh(x) + (- 8a b - 12a b + 4a b )cosh(x) +--R + +--R 5 2 3 3 2 4 +--R (- 16b + 50a b + 22a b )cosh(x) +--R + +--R 4 2 3 3 2 2 2 3 3 2 +--R (- 8a b - 12a b + 4a b )cosh(x) - 5a b - 7a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 8 2 3 3 2 6 +--R (- 3a b - 4a b)cosh(x) + (- 8a b - 12a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 2 3 3 2 2 +--R (- 16a b - 16a b + 14a b + 8a b)cosh(x) + (- 8a b - 12a b )cosh(x) +--R + +--R 3 2 4 +--R - 3a b - 4a b +--R / +--R 3 4 4 3 4 4 3 5 2 2 5 2 6 +--R ((2a b + 2a b )sech(x) + (4a b + 4a b )sech(x) + 2a b + 2a b) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 4 4 3 4 +--R (16a b + 16a b )cosh(x)sech(x) +--R + +--R 4 3 5 2 2 5 2 6 +--R (32a b + 32a b )cosh(x)sech(x) + (16a b + 16a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 2 2 5 3 4 4 3 4 +--R ((56a b + 56a b )cosh(x) + 16a b + 24a b + 8a b )sech(x) +--R + +--R 4 3 5 2 2 3 4 4 3 5 2 2 +--R ((112a b + 112a b )cosh(x) + 32a b + 48a b + 16a b )sech(x) +--R + +--R 5 2 6 2 4 3 5 2 6 +--R (56a b + 56a b)cosh(x) + 16a b + 24a b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 4 4 3 3 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 +--R (96a b + 144a b + 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 3 +--R (224a b + 224a b )cosh(x) +--R + +--R 3 4 4 3 5 2 +--R (192a b + 288a b + 96a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 3 4 3 5 2 6 +--R (112a b + 112a b)cosh(x) + (96a b + 144a b + 48a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 4 3 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 2 5 3 4 4 3 2 6 2 5 +--R (240a b + 360a b + 120a b )cosh(x) + 32a b + 64a b +--R + +--R 3 4 4 3 +--R 44a b + 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 4 +--R (280a b + 280a b )cosh(x) +--R + +--R 3 4 4 3 5 2 2 2 5 3 4 +--R (480a b + 720a b + 240a b )cosh(x) + 64a b + 128a b +--R + +--R 4 3 5 2 +--R 88a b + 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 4 4 3 5 2 6 2 +--R (140a b + 140a b)cosh(x) + (240a b + 360a b + 120a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R 32a b + 64a b + 44a b + 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 4 4 3 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 3 +--R (320a b + 480a b + 160a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 +--R (128a b + 256a b + 176a b + 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 5 +--R (224a b + 224a b )cosh(x) +--R + +--R 3 4 4 3 5 2 3 +--R (640a b + 960a b + 320a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (256a b + 512a b + 352a b + 96a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 5 4 3 5 2 6 3 +--R (112a b + 112a b)cosh(x) + (320a b + 480a b + 160a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (128a b + 256a b + 176a b + 48a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 4 3 6 +--R (56a b + 56a b )cosh(x) +--R + +--R 2 5 3 4 4 3 4 +--R (240a b + 360a b + 120a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 2 2 5 +--R (192a b + 384a b + 264a b + 72a b )cosh(x) + 16a b +--R + +--R 3 4 4 3 +--R 24a b + 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (480a b + 720a b + 240a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 3 4 +--R (384a b + 768a b + 528a b + 144a b )cosh(x) + 32a b +--R + +--R 4 3 5 2 +--R 48a b + 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 6 4 3 5 2 6 4 +--R (56a b + 56a b)cosh(x) + (240a b + 360a b + 120a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 4 3 5 2 +--R (192a b + 384a b + 264a b + 72a b)cosh(x) + 16a b + 24a b +--R + +--R 6 +--R 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 4 3 7 +--R (16a b + 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 +--R (96a b + 144a b + 48a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 3 +--R (128a b + 256a b + 176a b + 48a b )cosh(x) +--R + +--R 2 5 3 4 4 3 +--R (32a b + 48a b + 16a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 7 +--R (32a b + 32a b )cosh(x) +--R + +--R 3 4 4 3 5 2 5 +--R (192a b + 288a b + 96a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (256a b + 512a b + 352a b + 96a b )cosh(x) +--R + +--R 3 4 4 3 5 2 +--R (64a b + 96a b + 32a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 4 3 5 2 6 5 +--R (16a b + 16a b)cosh(x) + (96a b + 144a b + 48a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 3 +--R (128a b + 256a b + 176a b + 48a b)cosh(x) +--R + +--R 4 3 5 2 6 +--R (32a b + 48a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 4 4 3 8 2 5 3 4 4 3 6 +--R (2a b + 2a b )cosh(x) + (16a b + 24a b + 8a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 4 +--R (32a b + 64a b + 44a b + 12a b )cosh(x) +--R + +--R 2 5 3 4 4 3 2 3 4 4 3 +--R (16a b + 24a b + 8a b )cosh(x) + 2a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 8 3 4 4 3 5 2 6 +--R (4a b + 4a b )cosh(x) + (32a b + 48a b + 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (64a b + 128a b + 88a b + 24a b )cosh(x) +--R + +--R 3 4 4 3 5 2 2 4 3 5 2 +--R (32a b + 48a b + 16a b )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 8 4 3 5 2 6 6 +--R (2a b + 2a b)cosh(x) + (16a b + 24a b + 8a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 4 +--R (32a b + 64a b + 44a b + 12a b)cosh(x) +--R + +--R 4 3 5 2 6 2 5 2 6 +--R (16a b + 24a b + 8a b)cosh(x) + 2a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 4 4 3 5 2 4 4 3 5 2 6 2 +--R (- 2a b - 4a b - 2a b )sech(x) + (- 4a b - 8a b - 4a b)sech(x) +--R + +--R 5 2 6 7 +--R - 2a b - 4a b - 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (- 16a b - 32a b - 16a b )cosh(x)sech(x) +--R + +--R 4 3 5 2 6 2 +--R (- 32a b - 64a b - 32a b)cosh(x)sech(x) +--R + +--R 5 2 6 7 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 2 2 5 3 4 4 3 +--R (- 56a b - 112a b - 56a b )cosh(x) - 16a b - 40a b - 32a b +--R + +--R 5 2 +--R - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 2 3 4 4 3 5 2 +--R (- 112a b - 224a b - 112a b)cosh(x) - 32a b - 80a b - 64a b +--R + +--R 6 +--R - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 2 4 3 5 2 6 7 +--R (- 56a b - 112a b - 56a )cosh(x) - 16a b - 40a b - 32a b - 8a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 3 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (- 96a b - 240a b - 192a b - 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 3 +--R (- 224a b - 448a b - 224a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 192a b - 480a b - 384a b - 96a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 3 +--R (- 112a b - 224a b - 112a )cosh(x) +--R + +--R 4 3 5 2 6 7 +--R (- 96a b - 240a b - 192a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 4 +--R (- 140a b - 280a b - 140a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 6 +--R (- 240a b - 600a b - 480a b - 120a b )cosh(x) - 32a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 96a b - 108a b - 56a b - 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 4 +--R (- 280a b - 560a b - 280a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 2 5 +--R (- 480a b - 1200a b - 960a b - 240a b)cosh(x) - 64a b +--R + +--R 3 4 4 3 5 2 6 +--R - 192a b - 216a b - 112a b - 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 4 +--R (- 140a b - 280a b - 140a )cosh(x) +--R + +--R 4 3 5 2 6 7 2 3 4 4 3 +--R (- 240a b - 600a b - 480a b - 120a )cosh(x) - 32a b - 96a b +--R + +--R 5 2 6 7 +--R - 108a b - 56a b - 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 5 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (- 320a b - 800a b - 640a b - 160a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (- 128a b - 384a b - 432a b - 224a b - 48a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 5 +--R (- 224a b - 448a b - 224a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 3 +--R (- 640a b - 1600a b - 1280a b - 320a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 256a b - 768a b - 864a b - 448a b - 96a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 5 +--R (- 112a b - 224a b - 112a )cosh(x) +--R + +--R 4 3 5 2 6 7 3 +--R (- 320a b - 800a b - 640a b - 160a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 128a b - 384a b - 432a b - 224a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 56a b - 112a b - 56a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (- 240a b - 600a b - 480a b - 120a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 2 +--R (- 192a b - 576a b - 648a b - 336a b - 72a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 16a b - 40a b - 32a b - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 6 +--R (- 112a b - 224a b - 112a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 4 +--R (- 480a b - 1200a b - 960a b - 240a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 +--R (- 384a b - 1152a b - 1296a b - 672a b - 144a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R - 32a b - 80a b - 64a b - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 6 +--R (- 56a b - 112a b - 56a )cosh(x) +--R + +--R 4 3 5 2 6 7 4 +--R (- 240a b - 600a b - 480a b - 120a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 2 4 3 +--R (- 192a b - 576a b - 648a b - 336a b - 72a )cosh(x) - 16a b +--R + +--R 5 2 6 7 +--R - 40a b - 32a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 4 3 5 2 7 +--R (- 16a b - 32a b - 16a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 5 +--R (- 96a b - 240a b - 192a b - 48a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 3 +--R (- 128a b - 384a b - 432a b - 224a b - 48a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R (- 32a b - 80a b - 64a b - 16a b )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 7 +--R (- 32a b - 64a b - 32a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 5 +--R (- 192a b - 480a b - 384a b - 96a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 +--R (- 256a b - 768a b - 864a b - 448a b - 96a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 +--R (- 64a b - 160a b - 128a b - 32a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 7 +--R (- 16a b - 32a b - 16a )cosh(x) +--R + +--R 4 3 5 2 6 7 5 +--R (- 96a b - 240a b - 192a b - 48a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (- 128a b - 384a b - 432a b - 224a b - 48a )cosh(x) +--R + +--R 4 3 5 2 6 7 +--R (- 32a b - 80a b - 64a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 4 4 3 5 2 8 +--R (- 2a b - 4a b - 2a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 16a b - 40a b - 32a b - 8a b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 4 +--R (- 32a b - 96a b - 108a b - 56a b - 12a b )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 3 4 4 3 5 2 +--R (- 16a b - 40a b - 32a b - 8a b )cosh(x) - 2a b - 4a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 2 6 8 +--R (- 4a b - 8a b - 4a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (- 32a b - 80a b - 64a b - 16a b)cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (- 64a b - 192a b - 216a b - 112a b - 24a b)cosh(x) +--R + +--R 3 4 4 3 5 2 6 2 4 3 5 2 6 +--R (- 32a b - 80a b - 64a b - 16a b)cosh(x) - 4a b - 8a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 6 7 8 +--R (- 2a b - 4a b - 2a )cosh(x) +--R + +--R 4 3 5 2 6 7 6 +--R (- 16a b - 40a b - 32a b - 8a )cosh(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- 32a b - 96a b - 108a b - 56a b - 12a )cosh(x) +--R + +--R 4 3 5 2 6 7 2 5 2 6 7 +--R (- 16a b - 40a b - 32a b - 8a )cosh(x) - 2a b - 4a b - 2a +--R Type: Expression Integer +--E 35 + +--S 36 of 526 +t0405:= (1+sech(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (36) \|sech(x) + 1 +--R Type: Expression Integer +--E 36 + +--S 37 of 526 +r0405:= asin(1/2*2^(1/2)*tanh(x))+atanh(tanh(x)/(2-tanh(x)^2)^(1/2)) +--R +--R +--R +-+ +--R tanh(x) \|2 tanh(x) +--R (37) atanh(-----------------) + asin(-----------) +--R +--------------+ 2 +--R | 2 +--R \|- tanh(x) + 2 +--R Type: Expression Integer +--E 37 + +--S 38 of 526 +a0405:= integrate(t0405,x) +--R +--R +--R (38) +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 2 +--R |------------------------------------- - sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) - 1 +--R + +--R - +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 1) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 4)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 8cosh(x))sinh(x) + cosh(x) + 4cosh(x) - 1 +--R + +--R 4 +--R * +--R atan +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 2 +--R |------------------------------------- - sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) - 1 +--R / +--R 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 526 +m0405:= a0405-r0405 +--R +--R +--R (39) +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 2 +--R |------------------------------------- - sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) - 1 +--R + +--R - +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 1) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 4)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 8cosh(x))sinh(x) + cosh(x) + 4cosh(x) - 1 +--R + +--R tanh(x) +--R - 2atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) + 2 +--R + +--R 4 +--R * +--R atan +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 2 +--R |------------------------------------- - sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) - 1 +--R / +--R 2 +--R + +--R +-+ +--R \|2 tanh(x) +--R - 2asin(-----------) +--R 2 +--R / +--R 2 +--R Type: Expression Integer +--E 39 + +--S 40 of 526 +d0405:= D(m0405,x) +--R +--R +--R (40) +--R 14 13 2 12 +--R - sinh(x) - 6cosh(x)sinh(x) + (- 11cosh(x) - 12)sinh(x) +--R + +--R 3 11 +--R (4cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (39cosh(x) - 24cosh(x) - 66)sinh(x) +--R + +--R 5 3 9 +--R (38cosh(x) + 144cosh(x) - 156cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 27cosh(x) + 204cosh(x) + 102cosh(x) - 140)sinh(x) +--R + +--R 7 5 3 7 +--R (- 72cosh(x) - 96cosh(x) + 432cosh(x) - 288cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 27cosh(x) - 336cosh(x) - 36cosh(x) - 16cosh(x) - 301) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 38cosh(x) - 96cosh(x) - 552cosh(x) + 288cosh(x) +--R + +--R - 430cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 39cosh(x) + 204cosh(x) - 36cosh(x) + 312cosh(x) +--R + +--R 2 +--R 285cosh(x) - 328 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 4cosh(x) + 144cosh(x) + 432cosh(x) + 288cosh(x) +--R + +--R 3 +--R 828cosh(x) - 48cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 11cosh(x) - 24cosh(x) + 102cosh(x) - 16cosh(x) +--R + +--R 4 2 +--R 285cosh(x) + 560cosh(x) - 48 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 6cosh(x) - 48cosh(x) - 156cosh(x) - 288cosh(x) +--R + +--R 5 3 +--R - 430cosh(x) - 48cosh(x) - 48cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - cosh(x) - 12cosh(x) - 66cosh(x) - 140cosh(x) +--R + +--R 6 4 2 +--R - 301cosh(x) - 328cosh(x) - 48cosh(x) +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) + 2 +--R + +--R 14 13 2 12 +--R sinh(x) + 6cosh(x)sinh(x) + (11cosh(x) + 7)sinh(x) +--R + +--R 3 11 +--R (- 4cosh(x) + 28cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 39cosh(x) + 14cosh(x) + 30)sinh(x) +--R + +--R 5 3 9 +--R (- 38cosh(x) - 84cosh(x) + 84cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (27cosh(x) - 119cosh(x) + 6cosh(x) + 114)sinh(x) +--R + +--R 7 5 3 7 +--R (72cosh(x) + 56cosh(x) - 144cosh(x) + 240cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (27cosh(x) + 196cosh(x) - 36cosh(x) + 24cosh(x) + 205) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 38cosh(x) + 56cosh(x) + 120cosh(x) - 240cosh(x) +--R + +--R 270cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 39cosh(x) - 119cosh(x) - 36cosh(x) - 276cosh(x) +--R + +--R 2 +--R - 189cosh(x) + 163 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 4cosh(x) - 84cosh(x) - 144cosh(x) - 240cosh(x) +--R + +--R 3 +--R - 508cosh(x) + 52cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 11cosh(x) + 14cosh(x) + 6cosh(x) + 24cosh(x) +--R + +--R 4 2 +--R - 189cosh(x) - 222cosh(x) + 84 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 6cosh(x) + 28cosh(x) + 84cosh(x) + 240cosh(x) +--R + +--R 5 3 +--R 270cosh(x) + 52cosh(x) + 24cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R cosh(x) + 7cosh(x) + 30cosh(x) + 114cosh(x) + 205cosh(x) +--R + +--R 4 2 +--R 163cosh(x) + 84cosh(x) + 36 +--R * +--R 2 +--R tanh(x) +--R + +--R 14 13 2 12 +--R - 2sinh(x) - 12cosh(x)sinh(x) + (- 22cosh(x) - 14)sinh(x) +--R + +--R 3 11 +--R (8cosh(x) - 56cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (78cosh(x) - 28cosh(x) - 60)sinh(x) +--R + +--R 5 3 9 +--R (76cosh(x) + 168cosh(x) - 168cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 54cosh(x) + 238cosh(x) - 12cosh(x) - 228)sinh(x) +--R + +--R 7 5 3 7 +--R (- 144cosh(x) - 112cosh(x) + 288cosh(x) - 480cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 54cosh(x) - 392cosh(x) + 72cosh(x) - 48cosh(x) - 410)sinh(x) +--R + +--R 9 7 5 3 +--R (76cosh(x) - 112cosh(x) - 240cosh(x) + 480cosh(x) - 540cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 78cosh(x) + 238cosh(x) + 72cosh(x) + 552cosh(x) +--R + +--R 2 +--R 378cosh(x) - 326 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 8cosh(x) + 168cosh(x) + 288cosh(x) + 480cosh(x) +--R + +--R 3 +--R 1016cosh(x) - 104cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 22cosh(x) - 28cosh(x) - 12cosh(x) - 48cosh(x) +--R + +--R 4 2 +--R 378cosh(x) + 444cosh(x) - 168 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 12cosh(x) - 56cosh(x) - 168cosh(x) - 480cosh(x) +--R + +--R 5 3 +--R - 540cosh(x) - 104cosh(x) - 48cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 2cosh(x) - 14cosh(x) - 60cosh(x) - 228cosh(x) - 410cosh(x) +--R + +--R 4 2 +--R - 326cosh(x) - 168cosh(x) - 72 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 2sinh(x) + 2cosh(x) + 6 +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 12 11 2 10 +--R 8sinh(x) + 48cosh(x)sinh(x) + (112cosh(x) + 90)sinh(x) +--R + +--R 3 9 +--R (112cosh(x) + 420cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 8cosh(x) + 690cosh(x) + 412)sinh(x) +--R + +--R 5 3 7 +--R (- 160cosh(x) + 240cosh(x) + 1328cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 224cosh(x) - 780cosh(x) + 1072cosh(x) + 804)sinh(x) +--R + +--R 7 5 3 5 +--R (- 160cosh(x) - 1320cosh(x) - 1072cosh(x) + 1704cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 8cosh(x) - 780cosh(x) - 2456cosh(x) + 156cosh(x) + 616) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 112cosh(x) + 240cosh(x) - 1072cosh(x) - 1488cosh(x) +--R + +--R 1120cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 112cosh(x) + 690cosh(x) + 1072cosh(x) + 156cosh(x) +--R + +--R 2 +--R 1008cosh(x) + 450 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 48cosh(x) + 420cosh(x) + 1328cosh(x) + 1704cosh(x) +--R + +--R 3 +--R 1120cosh(x) + 756cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 8cosh(x) + 90cosh(x) + 412cosh(x) + 804cosh(x) + 616cosh(x) +--R + +--R 2 +--R 450cosh(x) + 180 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) + 2 +--R + +--R 12 11 2 10 +--R - 8sinh(x) - 48cosh(x)sinh(x) + (- 112cosh(x) - 68)sinh(x) +--R + +--R 3 9 +--R (- 112cosh(x) - 320cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (8cosh(x) - 532cosh(x) - 224)sinh(x) +--R + +--R 5 3 7 +--R (160cosh(x) - 192cosh(x) - 744cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (224cosh(x) + 600cosh(x) - 656cosh(x) - 432)sinh(x) +--R + +--R 7 5 3 5 +--R (160cosh(x) + 1024cosh(x) + 488cosh(x) - 920cosh(x))sinh(x) +--R + +--R 8 6 4 2 4 +--R (8cosh(x) + 600cosh(x) + 1248cosh(x) - 496cosh(x) - 592)sinh(x) +--R + +--R 9 7 5 3 +--R - 112cosh(x) - 192cosh(x) + 488cosh(x) - 16cosh(x) +--R + +--R - 1064cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 112cosh(x) - 532cosh(x) - 656cosh(x) - 496cosh(x) +--R + +--R 2 +--R - 944cosh(x) - 396 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 48cosh(x) - 320cosh(x) - 744cosh(x) - 920cosh(x) +--R + +--R 3 +--R - 1064cosh(x) - 744cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R - 8cosh(x) - 68cosh(x) - 224cosh(x) - 432cosh(x) - 592cosh(x) +--R + +--R 2 +--R - 396cosh(x) - 72 +--R * +--R 2 +--R tanh(x) +--R + +--R 12 11 2 10 +--R 16sinh(x) + 96cosh(x)sinh(x) + (224cosh(x) + 136)sinh(x) +--R + +--R 3 9 +--R (224cosh(x) + 640cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 16cosh(x) + 1064cosh(x) + 448)sinh(x) +--R + +--R 5 3 7 +--R (- 320cosh(x) + 384cosh(x) + 1488cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 448cosh(x) - 1200cosh(x) + 1312cosh(x) + 864)sinh(x) +--R + +--R 7 5 3 5 +--R (- 320cosh(x) - 2048cosh(x) - 976cosh(x) + 1840cosh(x))sinh(x) +--R + +--R 8 6 4 2 4 +--R (- 16cosh(x) - 1200cosh(x) - 2496cosh(x) + 992cosh(x) + 1184)sinh(x) +--R + +--R 9 7 5 3 +--R (224cosh(x) + 384cosh(x) - 976cosh(x) + 32cosh(x) + 2128cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 224cosh(x) + 1064cosh(x) + 1312cosh(x) + 992cosh(x) +--R + +--R 2 +--R 1888cosh(x) + 792 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 96cosh(x) + 640cosh(x) + 1488cosh(x) + 1840cosh(x) +--R + +--R 3 +--R 2128cosh(x) + 1488cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 16cosh(x) + 136cosh(x) + 448cosh(x) + 864cosh(x) + 1184cosh(x) +--R + +--R 2 +--R 792cosh(x) + 144 +--R / +--R 14 13 2 12 +--R sinh(x) + 6cosh(x)sinh(x) + (11cosh(x) + 7)sinh(x) +--R + +--R 3 11 +--R (- 4cosh(x) + 28cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 39cosh(x) + 14cosh(x) + 30)sinh(x) +--R + +--R 5 3 9 +--R (- 38cosh(x) - 84cosh(x) + 84cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (27cosh(x) - 119cosh(x) + 6cosh(x) + 114)sinh(x) +--R + +--R 7 5 3 7 +--R (72cosh(x) + 56cosh(x) - 144cosh(x) + 240cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (27cosh(x) + 196cosh(x) - 36cosh(x) + 24cosh(x) + 205)sinh(x) +--R + +--R 9 7 5 3 +--R - 38cosh(x) + 56cosh(x) + 120cosh(x) - 240cosh(x) +--R + +--R 270cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 39cosh(x) - 119cosh(x) - 36cosh(x) - 276cosh(x) +--R + +--R 2 +--R - 189cosh(x) + 163 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 4cosh(x) - 84cosh(x) - 144cosh(x) - 240cosh(x) +--R + +--R 3 +--R - 508cosh(x) + 52cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 11cosh(x) + 14cosh(x) + 6cosh(x) + 24cosh(x) - 189cosh(x) +--R + +--R 2 +--R - 222cosh(x) + 84 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 6cosh(x) + 28cosh(x) + 84cosh(x) + 240cosh(x) + 270cosh(x) +--R + +--R 3 +--R 52cosh(x) + 24cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R cosh(x) + 7cosh(x) + 30cosh(x) + 114cosh(x) + 205cosh(x) +--R + +--R 4 2 +--R 163cosh(x) + 84cosh(x) + 36 +--R * +--R +-------------------------------------+ +--R +--------------+ | 2 2 +--R | 2 | 2sinh(x) + 2cosh(x) + 6 +--R \|- tanh(x) + 2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 12 11 2 10 +--R - 8sinh(x) - 48cosh(x)sinh(x) + (- 112cosh(x) - 68)sinh(x) +--R + +--R 3 9 +--R (- 112cosh(x) -