1,1,125,0,0.130741," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{1}{16} \, {\left(6 \, a - 5 \, b\right)} x + \frac{b e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} + \frac{{\left(2 \, a - 3 \, b\right)} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a - 15 \, b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} + \frac{{\left(16 \, a - 15 \, b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(2 \, a - 3 \, b\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} - \frac{b e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"1/16*(6*a - 5*b)*x + 1/384*b*e^(6*d*x + 6*c)/d + 1/128*(2*a - 3*b)*e^(4*d*x + 4*c)/d - 1/128*(16*a - 15*b)*e^(2*d*x + 2*c)/d + 1/128*(16*a - 15*b)*e^(-2*d*x - 2*c)/d - 1/128*(2*a - 3*b)*e^(-4*d*x - 4*c)/d - 1/384*b*e^(-6*d*x - 6*c)/d","A",0
2,1,112,0,0.130155," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{b e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} + \frac{{\left(4 \, a - 5 \, b\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} - \frac{{\left(6 \, a - 5 \, b\right)} e^{\left(d x + c\right)}}{16 \, d} - \frac{{\left(6 \, a - 5 \, b\right)} e^{\left(-d x - c\right)}}{16 \, d} + \frac{{\left(4 \, a - 5 \, b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d} + \frac{b e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d}"," ",0,"1/160*b*e^(5*d*x + 5*c)/d + 1/96*(4*a - 5*b)*e^(3*d*x + 3*c)/d - 1/16*(6*a - 5*b)*e^(d*x + c)/d - 1/16*(6*a - 5*b)*e^(-d*x - c)/d + 1/96*(4*a - 5*b)*e^(-3*d*x - 3*c)/d + 1/160*b*e^(-5*d*x - 5*c)/d","B",0
3,1,79,0,0.129424," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{1}{8} \, {\left(4 \, a - 3 \, b\right)} x + \frac{b e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{{\left(a - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{{\left(a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{b e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"-1/8*(4*a - 3*b)*x + 1/64*b*e^(4*d*x + 4*c)/d + 1/8*(a - b)*e^(2*d*x + 2*c)/d - 1/8*(a - b)*e^(-2*d*x - 2*c)/d - 1/64*b*e^(-4*d*x - 4*c)/d","A",0
4,1,70,0,0.122150," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{b e^{\left(3 \, d x + 3 \, c\right)}}{24 \, d} + \frac{{\left(4 \, a - 3 \, b\right)} e^{\left(d x + c\right)}}{8 \, d} + \frac{{\left(4 \, a - 3 \, b\right)} e^{\left(-d x - c\right)}}{8 \, d} + \frac{b e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*b*e^(3*d*x + 3*c)/d + 1/8*(4*a - 3*b)*e^(d*x + c)/d + 1/8*(4*a - 3*b)*e^(-d*x - c)/d + 1/24*b*e^(-3*d*x - 3*c)/d","B",0
5,1,38,0,0.135660," ","integrate(a+b*sinh(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{8} \, b {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + a x"," ",0,"-1/8*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a*x","A",0
6,1,50,0,0.145349," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{b e^{\left(d x + c\right)} + b e^{\left(-d x - c\right)} - 2 \, a \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, a \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right)}{2 \, d}"," ",0,"1/2*(b*e^(d*x + c) + b*e^(-d*x - c) - 2*a*log(e^(d*x + c) + 1) + 2*a*log(abs(e^(d*x + c) - 1)))/d","A",0
7,1,28,0,0.146104," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} b - \frac{2 \, a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}{d}"," ",0,"((d*x + c)*b - 2*a/(e^(2*d*x + 2*c) - 1))/d","A",0
8,1,96,0,0.137125," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(a - 2 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - {\left(a - 2 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4}}{4 \, d}"," ",0,"1/4*((a - 2*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - (a - 2*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*a*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4))/d","B",0
9,1,61,0,0.137162," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a + 3 \, b\right)}}{3 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}"," ",0,"-2/3*(3*b*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) - 6*b*e^(2*d*x + 2*c) - 2*a + 3*b)/(d*(e^(2*d*x + 2*c) - 1)^3)","A",0
10,1,215,0,0.152684," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{1}{128} \, {\left(48 \, a^{2} - 80 \, a b + 35 \, b^{2}\right)} x + \frac{b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} + \frac{{\left(a b - b^{2}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} + \frac{{\left(4 \, a^{2} - 12 \, a b + 7 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} - \frac{{\left(8 \, a^{2} - 15 \, a b + 7 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} + \frac{{\left(8 \, a^{2} - 15 \, a b + 7 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} - \frac{{\left(4 \, a^{2} - 12 \, a b + 7 \, b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} - \frac{{\left(a b - b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d}"," ",0,"1/128*(48*a^2 - 80*a*b + 35*b^2)*x + 1/2048*b^2*e^(8*d*x + 8*c)/d - 1/2048*b^2*e^(-8*d*x - 8*c)/d + 1/192*(a*b - b^2)*e^(6*d*x + 6*c)/d + 1/256*(4*a^2 - 12*a*b + 7*b^2)*e^(4*d*x + 4*c)/d - 1/64*(8*a^2 - 15*a*b + 7*b^2)*e^(2*d*x + 2*c)/d + 1/64*(8*a^2 - 15*a*b + 7*b^2)*e^(-2*d*x - 2*c)/d - 1/256*(4*a^2 - 12*a*b + 7*b^2)*e^(-4*d*x - 4*c)/d - 1/192*(a*b - b^2)*e^(-6*d*x - 6*c)/d","A",0
11,1,196,0,0.154975," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} + \frac{b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{{\left(8 \, a b - 7 \, b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{2} - 40 \, a b + 21 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} - \frac{{\left(48 \, a^{2} - 80 \, a b + 35 \, b^{2}\right)} e^{\left(d x + c\right)}}{128 \, d} - \frac{{\left(48 \, a^{2} - 80 \, a b + 35 \, b^{2}\right)} e^{\left(-d x - c\right)}}{128 \, d} + \frac{{\left(16 \, a^{2} - 40 \, a b + 21 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} + \frac{{\left(8 \, a b - 7 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d}"," ",0,"1/896*b^2*e^(7*d*x + 7*c)/d + 1/896*b^2*e^(-7*d*x - 7*c)/d + 1/640*(8*a*b - 7*b^2)*e^(5*d*x + 5*c)/d + 1/384*(16*a^2 - 40*a*b + 21*b^2)*e^(3*d*x + 3*c)/d - 1/128*(48*a^2 - 80*a*b + 35*b^2)*e^(d*x + c)/d - 1/128*(48*a^2 - 80*a*b + 35*b^2)*e^(-d*x - c)/d + 1/384*(16*a^2 - 40*a*b + 21*b^2)*e^(-3*d*x - 3*c)/d + 1/640*(8*a*b - 7*b^2)*e^(-5*d*x - 5*c)/d","B",0
12,1,159,0,0.233598," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{1}{16} \, {\left(8 \, a^{2} - 12 \, a b + 5 \, b^{2}\right)} x + \frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d} + \frac{{\left(4 \, a b - 3 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{{\left(16 \, a^{2} - 32 \, a b + 15 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a^{2} - 32 \, a b + 15 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(4 \, a b - 3 \, b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d}"," ",0,"-1/16*(8*a^2 - 12*a*b + 5*b^2)*x + 1/384*b^2*e^(6*d*x + 6*c)/d - 1/384*b^2*e^(-6*d*x - 6*c)/d + 1/128*(4*a*b - 3*b^2)*e^(4*d*x + 4*c)/d + 1/128*(16*a^2 - 32*a*b + 15*b^2)*e^(2*d*x + 2*c)/d - 1/128*(16*a^2 - 32*a*b + 15*b^2)*e^(-2*d*x - 2*c)/d - 1/128*(4*a*b - 3*b^2)*e^(-4*d*x - 4*c)/d","A",0
13,1,138,0,0.158854," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} + \frac{b^{2} e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d} + \frac{{\left(8 \, a b - 5 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{{\left(8 \, a^{2} - 12 \, a b + 5 \, b^{2}\right)} e^{\left(d x + c\right)}}{16 \, d} + \frac{{\left(8 \, a^{2} - 12 \, a b + 5 \, b^{2}\right)} e^{\left(-d x - c\right)}}{16 \, d} + \frac{{\left(8 \, a b - 5 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d}"," ",0,"1/160*b^2*e^(5*d*x + 5*c)/d + 1/160*b^2*e^(-5*d*x - 5*c)/d + 1/96*(8*a*b - 5*b^2)*e^(3*d*x + 3*c)/d + 1/16*(8*a^2 - 12*a*b + 5*b^2)*e^(d*x + c)/d + 1/16*(8*a^2 - 12*a*b + 5*b^2)*e^(-d*x - c)/d + 1/96*(8*a*b - 5*b^2)*e^(-3*d*x - 3*c)/d","B",0
14,1,101,0,0.139122," ","integrate((a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{1}{8} \, {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} x + \frac{b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} - \frac{b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{{\left(2 \, a b - b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{{\left(2 \, a b - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/8*(8*a^2 - 8*a*b + 3*b^2)*x + 1/64*b^2*e^(4*d*x + 4*c)/d - 1/64*b^2*e^(-4*d*x - 4*c)/d + 1/8*(2*a*b - b^2)*e^(2*d*x + 2*c)/d - 1/8*(2*a*b - b^2)*e^(-2*d*x - 2*c)/d","A",0
15,1,110,0,0.169940," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a b e^{\left(d x + c\right)} - 9 \, b^{2} e^{\left(d x + c\right)} - 24 \, a^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 24 \, a^{2} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + {\left(24 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 9 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*(b^2*e^(3*d*x + 3*c) + 24*a*b*e^(d*x + c) - 9*b^2*e^(d*x + c) - 24*a^2*log(e^(d*x + c) + 1) + 24*a^2*log(abs(e^(d*x + c) - 1)) + (24*a*b*e^(2*d*x + 2*c) - 9*b^2*e^(2*d*x + 2*c) + b^2)*e^(-3*d*x - 3*c))/d","B",0
16,1,135,0,0.161839," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, {\left(4 \, a b - b^{2}\right)} {\left(d x + c\right)} - \frac{4 \, a b e^{\left(4 \, d x + 4 \, c\right)} - b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}}{e^{\left(4 \, d x + 4 \, c\right)} - e^{\left(2 \, d x + 2 \, c\right)}}}{8 \, d}"," ",0,"1/8*(b^2*e^(2*d*x + 2*c) + 4*(4*a*b - b^2)*(d*x + c) - (4*a*b*e^(4*d*x + 4*c) - b^2*e^(4*d*x + 4*c) + 16*a^2*e^(2*d*x + 2*c) - 4*a*b*e^(2*d*x + 2*c) + 2*b^2*e^(2*d*x + 2*c) - b^2)/(e^(4*d*x + 4*c) - e^(2*d*x + 2*c)))/d","B",0
17,1,125,0,0.163062," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - \frac{4 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4} + {\left(a^{2} - 4 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - {\left(a^{2} - 4 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{4 \, d}"," ",0,"1/4*(2*b^2*(e^(d*x + c) + e^(-d*x - c)) - 4*a^2*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4) + (a^2 - 4*a*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - (a^2 - 4*a*b)*log(e^(d*x + c) + e^(-d*x - c) - 2))/d","B",0
18,1,81,0,0.179078," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} b^{2} - \frac{4 \, {\left(3 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 6 \, a b e^{\left(2 \, d x + 2 \, c\right)} - a^{2} + 3 \, a b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*b^2 - 4*(3*a*b*e^(4*d*x + 4*c) + 3*a^2*e^(2*d*x + 2*c) - 6*a*b*e^(2*d*x + 2*c) - a^2 + 3*a*b)/(e^(2*d*x + 2*c) - 1)^3)/d","B",0
19,1,325,0,0.207183," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(10 \, d x + 10 \, c\right)}}{10240 \, d} - \frac{b^{3} e^{\left(-10 \, d x - 10 \, c\right)}}{10240 \, d} + \frac{3}{256} \, {\left(32 \, a^{3} - 80 \, a^{2} b + 70 \, a b^{2} - 21 \, b^{3}\right)} x + \frac{{\left(6 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)}}{4096 \, d} + \frac{{\left(16 \, a^{2} b - 32 \, a b^{2} + 15 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{2048 \, d} + \frac{{\left(8 \, a^{3} - 36 \, a^{2} b + 42 \, a b^{2} - 15 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{512 \, d} - \frac{{\left(128 \, a^{3} - 360 \, a^{2} b + 336 \, a b^{2} - 105 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{1024 \, d} + \frac{{\left(128 \, a^{3} - 360 \, a^{2} b + 336 \, a b^{2} - 105 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{1024 \, d} - \frac{{\left(8 \, a^{3} - 36 \, a^{2} b + 42 \, a b^{2} - 15 \, b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{512 \, d} - \frac{{\left(16 \, a^{2} b - 32 \, a b^{2} + 15 \, b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{2048 \, d} - \frac{{\left(6 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{4096 \, d}"," ",0,"1/10240*b^3*e^(10*d*x + 10*c)/d - 1/10240*b^3*e^(-10*d*x - 10*c)/d + 3/256*(32*a^3 - 80*a^2*b + 70*a*b^2 - 21*b^3)*x + 1/4096*(6*a*b^2 - 5*b^3)*e^(8*d*x + 8*c)/d + 1/2048*(16*a^2*b - 32*a*b^2 + 15*b^3)*e^(6*d*x + 6*c)/d + 1/512*(8*a^3 - 36*a^2*b + 42*a*b^2 - 15*b^3)*e^(4*d*x + 4*c)/d - 1/1024*(128*a^3 - 360*a^2*b + 336*a*b^2 - 105*b^3)*e^(2*d*x + 2*c)/d + 1/1024*(128*a^3 - 360*a^2*b + 336*a*b^2 - 105*b^3)*e^(-2*d*x - 2*c)/d - 1/512*(8*a^3 - 36*a^2*b + 42*a*b^2 - 15*b^3)*e^(-4*d*x - 4*c)/d - 1/2048*(16*a^2*b - 32*a*b^2 + 15*b^3)*e^(-6*d*x - 6*c)/d - 1/4096*(6*a*b^2 - 5*b^3)*e^(-8*d*x - 8*c)/d","A",0
20,1,296,0,0.200790," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(9 \, d x + 9 \, c\right)}}{4608 \, d} + \frac{b^{3} e^{\left(-9 \, d x - 9 \, c\right)}}{4608 \, d} + \frac{3 \, {\left(4 \, a b^{2} - 3 \, b^{3}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{3584 \, d} + \frac{3 \, {\left(4 \, a^{2} b - 7 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{3} - 60 \, a^{2} b + 63 \, a b^{2} - 21 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} - \frac{3 \, {\left(32 \, a^{3} - 80 \, a^{2} b + 70 \, a b^{2} - 21 \, b^{3}\right)} e^{\left(d x + c\right)}}{256 \, d} - \frac{3 \, {\left(32 \, a^{3} - 80 \, a^{2} b + 70 \, a b^{2} - 21 \, b^{3}\right)} e^{\left(-d x - c\right)}}{256 \, d} + \frac{{\left(16 \, a^{3} - 60 \, a^{2} b + 63 \, a b^{2} - 21 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} + \frac{3 \, {\left(4 \, a^{2} b - 7 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} + \frac{3 \, {\left(4 \, a b^{2} - 3 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{3584 \, d}"," ",0,"1/4608*b^3*e^(9*d*x + 9*c)/d + 1/4608*b^3*e^(-9*d*x - 9*c)/d + 3/3584*(4*a*b^2 - 3*b^3)*e^(7*d*x + 7*c)/d + 3/640*(4*a^2*b - 7*a*b^2 + 3*b^3)*e^(5*d*x + 5*c)/d + 1/384*(16*a^3 - 60*a^2*b + 63*a*b^2 - 21*b^3)*e^(3*d*x + 3*c)/d - 3/256*(32*a^3 - 80*a^2*b + 70*a*b^2 - 21*b^3)*e^(d*x + c)/d - 3/256*(32*a^3 - 80*a^2*b + 70*a*b^2 - 21*b^3)*e^(-d*x - c)/d + 1/384*(16*a^3 - 60*a^2*b + 63*a*b^2 - 21*b^3)*e^(-3*d*x - 3*c)/d + 3/640*(4*a^2*b - 7*a*b^2 + 3*b^3)*e^(-5*d*x - 5*c)/d + 3/3584*(4*a*b^2 - 3*b^3)*e^(-7*d*x - 7*c)/d","B",0
21,1,251,0,0.179171," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b^{3} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} - \frac{1}{128} \, {\left(64 \, a^{3} - 144 \, a^{2} b + 120 \, a b^{2} - 35 \, b^{3}\right)} x + \frac{{\left(3 \, a b^{2} - 2 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} + \frac{{\left(12 \, a^{2} b - 18 \, a b^{2} + 7 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} + \frac{{\left(16 \, a^{3} - 48 \, a^{2} b + 45 \, a b^{2} - 14 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a^{3} - 48 \, a^{2} b + 45 \, a b^{2} - 14 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(12 \, a^{2} b - 18 \, a b^{2} + 7 \, b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} - \frac{{\left(3 \, a b^{2} - 2 \, b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"1/2048*b^3*e^(8*d*x + 8*c)/d - 1/2048*b^3*e^(-8*d*x - 8*c)/d - 1/128*(64*a^3 - 144*a^2*b + 120*a*b^2 - 35*b^3)*x + 1/384*(3*a*b^2 - 2*b^3)*e^(6*d*x + 6*c)/d + 1/256*(12*a^2*b - 18*a*b^2 + 7*b^3)*e^(4*d*x + 4*c)/d + 1/128*(16*a^3 - 48*a^2*b + 45*a*b^2 - 14*b^3)*e^(2*d*x + 2*c)/d - 1/128*(16*a^3 - 48*a^2*b + 45*a*b^2 - 14*b^3)*e^(-2*d*x - 2*c)/d - 1/256*(12*a^2*b - 18*a*b^2 + 7*b^3)*e^(-4*d*x - 4*c)/d - 1/384*(3*a*b^2 - 2*b^3)*e^(-6*d*x - 6*c)/d","A",0
22,1,222,0,0.194663," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} + \frac{b^{3} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{{\left(12 \, a b^{2} - 7 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{2} b - 20 \, a b^{2} + 7 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} + \frac{{\left(64 \, a^{3} - 144 \, a^{2} b + 120 \, a b^{2} - 35 \, b^{3}\right)} e^{\left(d x + c\right)}}{128 \, d} + \frac{{\left(64 \, a^{3} - 144 \, a^{2} b + 120 \, a b^{2} - 35 \, b^{3}\right)} e^{\left(-d x - c\right)}}{128 \, d} + \frac{{\left(16 \, a^{2} b - 20 \, a b^{2} + 7 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d} + \frac{{\left(12 \, a b^{2} - 7 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d}"," ",0,"1/896*b^3*e^(7*d*x + 7*c)/d + 1/896*b^3*e^(-7*d*x - 7*c)/d + 1/640*(12*a*b^2 - 7*b^3)*e^(5*d*x + 5*c)/d + 1/128*(16*a^2*b - 20*a*b^2 + 7*b^3)*e^(3*d*x + 3*c)/d + 1/128*(64*a^3 - 144*a^2*b + 120*a*b^2 - 35*b^3)*e^(d*x + c)/d + 1/128*(64*a^3 - 144*a^2*b + 120*a*b^2 - 35*b^3)*e^(-d*x - c)/d + 1/128*(16*a^2*b - 20*a*b^2 + 7*b^3)*e^(-3*d*x - 3*c)/d + 1/640*(12*a*b^2 - 7*b^3)*e^(-5*d*x - 5*c)/d","B",0
23,1,177,0,0.144620," ","integrate((a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{b^{3} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d} + \frac{1}{16} \, {\left(16 \, a^{3} - 24 \, a^{2} b + 18 \, a b^{2} - 5 \, b^{3}\right)} x + \frac{3 \, {\left(2 \, a b^{2} - b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{3 \, {\left(16 \, a^{2} b - 16 \, a b^{2} + 5 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{3 \, {\left(16 \, a^{2} b - 16 \, a b^{2} + 5 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{3 \, {\left(2 \, a b^{2} - b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d}"," ",0,"1/384*b^3*e^(6*d*x + 6*c)/d - 1/384*b^3*e^(-6*d*x - 6*c)/d + 1/16*(16*a^3 - 24*a^2*b + 18*a*b^2 - 5*b^3)*x + 3/128*(2*a*b^2 - b^3)*e^(4*d*x + 4*c)/d + 3/128*(16*a^2*b - 16*a*b^2 + 5*b^3)*e^(2*d*x + 2*c)/d - 3/128*(16*a^2*b - 16*a*b^2 + 5*b^3)*e^(-2*d*x - 2*c)/d - 3/128*(2*a*b^2 - b^3)*e^(-4*d*x - 4*c)/d","A",0
24,1,202,0,0.209218," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)} + 60 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 25 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} + 720 \, a^{2} b e^{\left(d x + c\right)} - 540 \, a b^{2} e^{\left(d x + c\right)} + 150 \, b^{3} e^{\left(d x + c\right)} - 480 \, a^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 480 \, a^{3} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + {\left(720 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 540 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 150 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 25 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{480 \, d}"," ",0,"1/480*(3*b^3*e^(5*d*x + 5*c) + 60*a*b^2*e^(3*d*x + 3*c) - 25*b^3*e^(3*d*x + 3*c) + 720*a^2*b*e^(d*x + c) - 540*a*b^2*e^(d*x + c) + 150*b^3*e^(d*x + c) - 480*a^3*log(e^(d*x + c) + 1) + 480*a^3*log(abs(e^(d*x + c) - 1)) + (720*a^2*b*e^(4*d*x + 4*c) - 540*a*b^2*e^(4*d*x + 4*c) + 150*b^3*e^(4*d*x + 4*c) + 60*a*b^2*e^(2*d*x + 2*c) - 25*b^3*e^(2*d*x + 2*c) + 3*b^3)*e^(-5*d*x - 5*c))/d","B",0
25,1,177,0,0.199655," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, {\left(8 \, a^{2} b - 4 \, a b^{2} + b^{3}\right)} {\left(d x + c\right)} - \frac{128 \, a^{3}}{e^{\left(2 \, d x + 2 \, c\right)} - 1} - {\left(144 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 72 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 18 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/64*(b^3*e^(4*d*x + 4*c) + 24*a*b^2*e^(2*d*x + 2*c) - 8*b^3*e^(2*d*x + 2*c) + 24*(8*a^2*b - 4*a*b^2 + b^3)*(d*x + c) - 128*a^3/(e^(2*d*x + 2*c) - 1) - (144*a^2*b*e^(4*d*x + 4*c) - 72*a*b^2*e^(4*d*x + 4*c) + 18*b^3*e^(4*d*x + 4*c) + 24*a*b^2*e^(2*d*x + 2*c) - 8*b^3*e^(2*d*x + 2*c) + b^3)*e^(-4*d*x - 4*c))/d","A",0
26,1,174,0,0.225322," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 36 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 12 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - \frac{24 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4} + 6 \, {\left(a^{3} - 6 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 6 \, {\left(a^{3} - 6 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{24 \, d}"," ",0,"1/24*(b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 36*a*b^2*(e^(d*x + c) + e^(-d*x - c)) - 12*b^3*(e^(d*x + c) + e^(-d*x - c)) - 24*a^3*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4) + 6*(a^3 - 6*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 6*(a^3 - 6*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) - 2))/d","B",0
27,1,154,0,0.201134," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, {\left(6 \, a b^{2} - b^{3}\right)} {\left(d x + c\right)} - 3 \, {\left(12 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - \frac{16 \, {\left(9 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 18 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{3} + 9 \, a^{2} b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*b^3*e^(2*d*x + 2*c) + 12*(6*a*b^2 - b^3)*(d*x + c) - 3*(12*a*b^2*e^(2*d*x + 2*c) - 2*b^3*e^(2*d*x + 2*c) + b^3)*e^(-2*d*x - 2*c) - 16*(9*a^2*b*e^(4*d*x + 4*c) + 6*a^3*e^(2*d*x + 2*c) - 18*a^2*b*e^(2*d*x + 2*c) - 2*a^3 + 9*a^2*b)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
28,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-4,-35]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-34,-61]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-40,7]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,96]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[69,-9]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[43,41]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,58]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[3,43]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[51,61]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-97,-57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[38,-97]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-86,85]Undef/Unsigned Inf encountered in limitEvaluation time: 2.64Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
29,1,208,0,4.389301," ","integrate(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{64 \, a^{3} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b^{3}} - \frac{8 \, {\left(8 \, a^{2} + 4 \, a b + 3 \, b^{2}\right)} {\left(d x + c\right)}}{b^{3}} - \frac{b e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b e^{\left(2 \, d x + 2 \, c\right)}}{b^{2}} + \frac{{\left(48 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 18 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{b^{3}}}{64 \, d}"," ",0,"-1/64*(64*a^3*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b^3) - 8*(8*a^2 + 4*a*b + 3*b^2)*(d*x + c)/b^3 - (b*e^(4*d*x + 4*c) - 8*a*e^(2*d*x + 2*c) - 8*b*e^(2*d*x + 2*c))/b^2 + (48*a^2*e^(4*d*x + 4*c) + 24*a*b*e^(4*d*x + 4*c) + 18*b^2*e^(4*d*x + 4*c) - 8*a*b*e^(2*d*x + 2*c) - 8*b^2*e^(2*d*x + 2*c) + b^2)*e^(-4*d*x - 4*c)/b^3)/d","A",0
30,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-1,84]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-91,-60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,-40]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-85]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[1,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[70,33]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[14,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[39,-90]Undef/Unsigned Inf encountered in limitEvaluation time: 2.08Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
31,1,126,0,3.062456," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{8 \, a^{2} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b^{2}} - \frac{4 \, {\left(d x + c\right)} {\left(2 \, a + b\right)}}{b^{2}} + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{b} + \frac{{\left(4 \, a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2}}}{8 \, d}"," ",0,"1/8*(8*a^2*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b^2) - 4*(d*x + c)*(2*a + b)/b^2 + e^(2*d*x + 2*c)/b + (4*a*e^(2*d*x + 2*c) + 2*b*e^(2*d*x + 2*c) - b)*e^(-2*d*x - 2*c)/b^2)/d","A",0
32,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[4,51]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[34,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]Undef/Unsigned Inf encountered in limitEvaluation time: 1.5Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
33,1,64,0,1.716778," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{a \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b} - \frac{d x + c}{b}}{d}"," ",0,"-(a*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b) - (d*x + c)/b)/d","A",0
34,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Undef/Unsigned Inf encountered in limitEvaluation time: 0.8Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
35,1,47,0,0.408642," ","integrate(1/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} d}"," ",0,"arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*d)","A",0
36,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
37,1,72,0,0.680880," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a} + \frac{2}{a {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{d}"," ",0,"-(b*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a) + 2/(a*(e^(2*d*x + 2*c) - 1)))/d","A",0
38,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Undef/Unsigned Inf encountered in limitEvaluation time: 0.63Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
39,1,118,0,0.696530," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{2} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a^{2}} + \frac{2 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a + 3 \, b\right)}}{a^{2} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*b^2*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a^2) + 2*(3*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) - 6*b*e^(2*d*x + 2*c) + 2*a + 3*b)/(a^2*(e^(2*d*x + 2*c) - 1)^3))/d","A",0
40,-2,0,0,0.000000," ","integrate(csch(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Undef/Unsigned Inf encountered in limitEvaluation time: 0.62Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
41,1,213,0,0.701807," ","integrate(csch(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, b^{3} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a^{3}} + \frac{2 \, {\left(15 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 30 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 60 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 70 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 90 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 50 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 60 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{2} + 10 \, a b + 15 \, b^{2}\right)}}{a^{3} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{15 \, d}"," ",0,"-1/15*(15*b^3*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a^3) + 2*(15*b^2*e^(8*d*x + 8*c) - 30*a*b*e^(6*d*x + 6*c) - 60*b^2*e^(6*d*x + 6*c) + 80*a^2*e^(4*d*x + 4*c) + 70*a*b*e^(4*d*x + 4*c) + 90*b^2*e^(4*d*x + 4*c) - 40*a^2*e^(2*d*x + 2*c) - 50*a*b*e^(2*d*x + 2*c) - 60*b^2*e^(2*d*x + 2*c) + 8*a^2 + 10*a*b + 15*b^2)/(a^3*(e^(2*d*x + 2*c) - 1)^5))/d","B",0
42,1,168,0,5.593331," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, a^{2} - 3 \, a b\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a b^{2} - b^{3}\right)} \sqrt{-a^{2} + a b}} - \frac{2 \, {\left(2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - a b e^{\left(2 \, d x + 2 \, c\right)} + a b\right)}}{{\left(a b^{2} - b^{3}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}} - \frac{2 \, {\left(d x + c\right)}}{b^{2}}}{2 \, d}"," ",0,"-1/2*((2*a^2 - 3*a*b)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a*b^2 - b^3)*sqrt(-a^2 + a*b)) - 2*(2*a^2*e^(2*d*x + 2*c) - a*b*e^(2*d*x + 2*c) + a*b)/((a*b^2 - b^3)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)) - 2*(d*x + c)/b^2)/d","A",0
43,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-92,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,-68]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-70,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-1]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[91,-7]Undef/Unsigned Inf encountered in limitEvaluation time: 1.77Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
44,1,135,0,2.119056," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{\arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} {\left(a - b\right)}} + \frac{2 \, {\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}{{\left(a b - b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}}{2 \, d}"," ",0,"-1/2*(arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*(a - b)) + 2*(2*a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) + b)/((a*b - b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)))/d","A",0
45,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-45,5]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-20]Undef/Unsigned Inf encountered in limitEvaluation time: 1.08Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
46,1,144,0,0.423702," ","integrate(1/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, a - b\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{2} - a b\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}{{\left(a^{2} - a b\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}}{2 \, d}"," ",0,"1/2*((2*a - b)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^2 - a*b)*sqrt(-a^2 + a*b)) + 2*(2*a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) + b)/((a^2 - a*b)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)))/d","A",0
47,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
48,1,229,0,0.820305," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, a b - 3 \, b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - a^{2} b\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(4 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 14 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 6 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b - 3 \, b^{2}\right)}}{{\left(a^{3} - a^{2} b\right)} {\left(b e^{\left(6 \, d x + 6 \, c\right)} + 4 \, a e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)}}}{2 \, d}"," ",0,"-1/2*((4*a*b - 3*b^2)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^3 - a^2*b)*sqrt(-a^2 + a*b)) + 2*(4*a*b*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) + 8*a^2*e^(2*d*x + 2*c) - 14*a*b*e^(2*d*x + 2*c) + 6*b^2*e^(2*d*x + 2*c) + 2*a*b - 3*b^2)/((a^3 - a^2*b)*(b*e^(6*d*x + 6*c) + 4*a*e^(4*d*x + 4*c) - 3*b*e^(4*d*x + 4*c) - 4*a*e^(2*d*x + 2*c) + 3*b*e^(2*d*x + 2*c) - b)))/d","A",0
49,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Undef/Unsigned Inf encountered in limitEvaluation time: 0.72Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
50,1,220,0,0.820549," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, a b^{2} - 5 \, b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{4} - a^{3} b\right)} \sqrt{-a^{2} + a b}} + \frac{6 \, {\left(2 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)}}{{\left(a^{4} - a^{3} b\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}} + \frac{8 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, a e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b e^{\left(2 \, d x + 2 \, c\right)} + a + 3 \, b\right)}}{a^{3} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*(6*a*b^2 - 5*b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^4 - a^3*b)*sqrt(-a^2 + a*b)) + 6*(2*a*b^2*e^(2*d*x + 2*c) - b^3*e^(2*d*x + 2*c) + b^3)/((a^4 - a^3*b)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)) + 8*(3*b*e^(4*d*x + 4*c) - 3*a*e^(2*d*x + 2*c) - 6*b*e^(2*d*x + 2*c) + a + 3*b)/(a^3*(e^(2*d*x + 2*c) - 1)^3))/d","A",0
51,1,282,0,6.284688," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{-a^{2} + a b}} - \frac{2 \, {\left(8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 5 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 56 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 46 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 15 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 32 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 15 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} - 5 \, b^{3}\right)}}{{\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}}}{8 \, d}"," ",0,"1/8*(3*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^2 - 2*a*b + b^2)*sqrt(-a^2 + a*b)) - 2*(8*a^2*b*e^(6*d*x + 6*c) - 16*a*b^2*e^(6*d*x + 6*c) + 5*b^3*e^(6*d*x + 6*c) + 16*a^3*e^(4*d*x + 4*c) - 56*a^2*b*e^(4*d*x + 4*c) + 46*a*b^2*e^(4*d*x + 4*c) - 15*b^3*e^(4*d*x + 4*c) + 8*a^2*b*e^(2*d*x + 2*c) - 32*a*b^2*e^(2*d*x + 2*c) + 15*b^3*e^(2*d*x + 2*c) + 2*a*b^2 - 5*b^3)/((a^2*b^2 - 2*a*b^3 + b^4)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2))/d","B",0
52,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-78,38]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-75,-16]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,-88]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[82,-14]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[42,-23]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[90,-28]Undef/Unsigned Inf encountered in limitEvaluation time: 2.85Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
53,1,277,0,3.545896," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, a - b\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(4 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 4 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} + b^{3}\right)}}{{\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}}}{8 \, d}"," ",0,"-1/8*((4*a - b)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^3 - 2*a^2*b + a*b^2)*sqrt(-a^2 + a*b)) + 2*(4*a*b^2*e^(6*d*x + 6*c) - b^3*e^(6*d*x + 6*c) + 16*a^3*e^(4*d*x + 4*c) - 8*a^2*b*e^(4*d*x + 4*c) - 2*a*b^2*e^(4*d*x + 4*c) + 3*b^3*e^(4*d*x + 4*c) + 16*a^2*b*e^(2*d*x + 2*c) - 4*a*b^2*e^(2*d*x + 2*c) - 3*b^3*e^(2*d*x + 2*c) + 2*a*b^2 + b^3)/((a^3*b - 2*a^2*b^2 + a*b^3)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2))/d","B",0
54,-2,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,-74]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-56,-37]Undef/Unsigned Inf encountered in limitEvaluation time: 2.12Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
55,1,302,0,0.905130," ","integrate(1/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 72 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 42 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 40 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 40 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b^{2} - 3 \, b^{3}\right)}}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}}}{8 \, d}"," ",0,"1/8*((8*a^2 - 8*a*b + 3*b^2)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^4 - 2*a^3*b + a^2*b^2)*sqrt(-a^2 + a*b)) + 2*(8*a^2*b*e^(6*d*x + 6*c) - 8*a*b^2*e^(6*d*x + 6*c) + 3*b^3*e^(6*d*x + 6*c) + 48*a^3*e^(4*d*x + 4*c) - 72*a^2*b*e^(4*d*x + 4*c) + 42*a*b^2*e^(4*d*x + 4*c) - 9*b^3*e^(4*d*x + 4*c) + 40*a^2*b*e^(2*d*x + 2*c) - 40*a*b^2*e^(2*d*x + 2*c) + 9*b^3*e^(2*d*x + 2*c) + 6*a*b^2 - 3*b^3)/((a^4 - 2*a^3*b + a^2*b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2))/d","B",0
56,-2,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Undef/Unsigned Inf encountered in limitEvaluation time: 1Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
57,1,331,0,1.620821," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(8 \, a^{2} b - 12 \, a b^{2} + 5 \, b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(16 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 20 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 7 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} - 136 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 86 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 21 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 64 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 76 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 21 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, a b^{3} - 7 \, b^{4}\right)}}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}} + \frac{16}{a^{3} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{8 \, d}"," ",0,"-1/8*(3*(8*a^2*b - 12*a*b^2 + 5*b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^5 - 2*a^4*b + a^3*b^2)*sqrt(-a^2 + a*b)) + 2*(16*a^2*b^2*e^(6*d*x + 6*c) - 20*a*b^3*e^(6*d*x + 6*c) + 7*b^4*e^(6*d*x + 6*c) + 80*a^3*b*e^(4*d*x + 4*c) - 136*a^2*b^2*e^(4*d*x + 4*c) + 86*a*b^3*e^(4*d*x + 4*c) - 21*b^4*e^(4*d*x + 4*c) + 64*a^2*b^2*e^(2*d*x + 2*c) - 76*a*b^3*e^(2*d*x + 2*c) + 21*b^4*e^(2*d*x + 2*c) + 10*a*b^3 - 7*b^4)/((a^5 - 2*a^4*b + a^3*b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2) + 16/(a^3*(e^(2*d*x + 2*c) - 1)))/d","A",0
58,-2,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Undef/Unsigned Inf encountered in limitEvaluation time: 1.52Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
59,1,378,0,1.682470," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(48 \, a^{2} b^{2} - 80 \, a b^{3} + 35 \, b^{4}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{6} - 2 \, a^{5} b + a^{4} b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{6 \, {\left(24 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 32 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 11 \, b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 112 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 200 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 130 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 33 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 88 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 112 \, a b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 33 \, b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 14 \, a b^{4} - 11 \, b^{5}\right)}}{{\left(a^{6} - 2 \, a^{5} b + a^{4} b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}} + \frac{16 \, {\left(9 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} - 18 \, b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a + 9 \, b\right)}}{a^{4} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*(48*a^2*b^2 - 80*a*b^3 + 35*b^4)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^6 - 2*a^5*b + a^4*b^2)*sqrt(-a^2 + a*b)) + 6*(24*a^2*b^3*e^(6*d*x + 6*c) - 32*a*b^4*e^(6*d*x + 6*c) + 11*b^5*e^(6*d*x + 6*c) + 112*a^3*b^2*e^(4*d*x + 4*c) - 200*a^2*b^3*e^(4*d*x + 4*c) + 130*a*b^4*e^(4*d*x + 4*c) - 33*b^5*e^(4*d*x + 4*c) + 88*a^2*b^3*e^(2*d*x + 2*c) - 112*a*b^4*e^(2*d*x + 2*c) + 33*b^5*e^(2*d*x + 2*c) + 14*a*b^4 - 11*b^5)/((a^6 - 2*a^5*b + a^4*b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2) + 16*(9*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) - 18*b*e^(2*d*x + 2*c) + 2*a + 9*b)/(a^4*(e^(2*d*x + 2*c) - 1)^3))/d","A",0
60,1,10,0,0.118545," ","integrate(1/(1+sinh(x)^2),x, algorithm=""giac"")","-\frac{2}{e^{\left(2 \, x\right)} + 1}"," ",0,"-2/(e^(2*x) + 1)","B",0
61,1,18,0,0.131003," ","integrate(1/(1+sinh(x)^2)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)}}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"-4/3*(3*e^(2*x) + 1)/(e^(2*x) + 1)^3","A",0
62,1,24,0,0.121209," ","integrate(1/(1+sinh(x)^2)^3,x, algorithm=""giac"")","-\frac{16 \, {\left(10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"-16/15*(10*e^(4*x) + 5*e^(2*x) + 1)/(e^(2*x) + 1)^5","A",0
63,1,37,0,0.122809," ","integrate(1/(1-sinh(x)^2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right)"," ",0,"-1/4*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6))","B",0
64,1,62,0,0.121261," ","integrate(1/(1-sinh(x)^2)^2,x, algorithm=""giac"")","-\frac{3}{16} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - \frac{3 \, e^{\left(2 \, x\right)} - 1}{2 \, {\left(e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-3/16*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - 1/2*(3*e^(2*x) - 1)/(e^(4*x) - 6*e^(2*x) + 1)","B",0
65,1,74,0,0.139274," ","integrate(1/(1-sinh(x)^2)^3,x, algorithm=""giac"")","-\frac{19}{128} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - \frac{19 \, e^{\left(6 \, x\right)} - 171 \, e^{\left(4 \, x\right)} + 89 \, e^{\left(2 \, x\right)} - 9}{16 \, {\left(e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-19/128*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - 1/16*(19*e^(6*x) - 171*e^(4*x) + 89*e^(2*x) - 9)/(e^(4*x) - 6*e^(2*x) + 1)^2","A",0
66,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
67,-2,0,0,0.000000," ","integrate(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
68,-2,0,0,0.000000," ","integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
69,-2,0,0,0.000000," ","integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
70,-2,0,0,0.000000," ","integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
71,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
72,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
73,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
74,-2,0,0,0.000000," ","integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
75,-2,0,0,0.000000," ","integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
76,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
77,-2,0,0,0.000000," ","integrate(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
78,-2,0,0,0.000000," ","integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
79,-2,0,0,0.000000," ","integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
80,-2,0,0,0.000000," ","integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
81,-2,0,0,0.000000," ","integrate(csch(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
82,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
83,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
84,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
85,-2,0,0,0.000000," ","integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
86,-2,0,0,0.000000," ","integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
87,-2,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
88,1,11,0,0.111233," ","integrate((1+sinh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/2*e^(-x) + 1/2*e^x","A",0
89,1,11,0,0.117755," ","integrate((-1-sinh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} i \, e^{\left(-x\right)} + \frac{1}{2} i \, e^{x}"," ",0,"-1/2*I*e^(-x) + 1/2*I*e^x","C",0
90,0,0,0,0.000000," ","integrate((1-sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{-\sinh\left(x\right)^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(-sinh(x)^2 + 1), x)","F",0
91,0,0,0,0.000000," ","integrate((-1+sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\sinh\left(x\right)^{2} - 1}\,{d x}"," ",0,"integrate(sqrt(sinh(x)^2 - 1), x)","F",0
92,0,0,0,0.000000," ","integrate((a+b*sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(x)^2 + a), x)","F",0
93,1,25,0,0.138152," ","integrate((1+sinh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{24} \, e^{\left(3 \, x\right)} + \frac{3}{8} \, e^{x}"," ",0,"-1/24*(9*e^(2*x) + 1)*e^(-3*x) + 1/24*e^(3*x) + 3/8*e^x","A",0
94,1,25,0,0.121001," ","integrate((-1-sinh(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{24} i \, {\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} - \frac{1}{24} i \, e^{\left(3 \, x\right)} - \frac{3}{8} i \, e^{x}"," ",0,"1/24*I*(9*e^(2*x) + 1)*e^(-3*x) - 1/24*I*e^(3*x) - 3/8*I*e^x","C",0
95,0,0,0,0.000000," ","integrate((1-sinh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(-\sinh\left(x\right)^{2} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-sinh(x)^2 + 1)^(3/2), x)","F",0
96,0,0,0,0.000000," ","integrate((-1+sinh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(\sinh\left(x\right)^{2} - 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((sinh(x)^2 - 1)^(3/2), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*sinh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sinh\left(x\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(x)^2 + a)^(3/2), x)","F",0
98,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
99,-2,0,0,0.000000," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
100,-2,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
101,-2,0,0,0.000000," ","integrate(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
102,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
103,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
104,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
105,-2,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
106,-2,0,0,0.000000," ","integrate(csch(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
107,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
108,-2,0,0,0.000000," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
109,-2,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
110,-2,0,0,0.000000," ","integrate(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.47Error: Bad Argument Type","F(-2)",0
111,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
112,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
113,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
114,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
115,-2,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
116,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.45Error: Bad Argument Type","F(-2)",0
117,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.45Error: Bad Argument Type","F(-2)",0
118,-2,0,0,0.000000," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
119,-2,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.5Error: Bad Argument Type","F(-2)",0
120,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.49Error: Bad Argument Type","F(-2)",0
121,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.44Error: Bad Argument Type","F(-2)",0
122,-2,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.47Error: Bad Argument Type","F(-2)",0
123,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
124,-2,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.57Error: Bad Argument Type","F(-2)",0
125,1,5,0,0.138874," ","integrate(1/(1+sinh(x)^2)^(1/2),x, algorithm=""giac"")","2 \, \arctan\left(e^{x}\right)"," ",0,"2*arctan(e^x)","A",0
126,0,0,0,0.000000," ","integrate(1/(1-sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\sinh\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(-sinh(x)^2 + 1), x)","F",0
127,0,0,0,0.000000," ","integrate(1/(-1+sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\sinh\left(x\right)^{2} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(sinh(x)^2 - 1), x)","F",0
128,1,5,0,0.135188," ","integrate(1/(-1-sinh(x)^2)^(1/2),x, algorithm=""giac"")","-2 i \, \arctan\left(e^{x}\right)"," ",0,"-2*I*arctan(e^x)","C",0
129,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sinh\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(x)^2 + a), x)","F",0
130,0,0,0,0.000000," ","integrate((d*sinh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \left(d \sinh\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*(d*sinh(f*x + e))^m, x)","F",0
131,0,0,0,0.000000," ","integrate(sinh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \sinh\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sinh(f*x + e)^5, x)","F",0
132,0,0,0,0.000000," ","integrate(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \sinh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sinh(f*x + e)^3, x)","F",0
133,0,0,0,0.000000," ","integrate(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \sinh\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sinh(f*x + e), x)","F",0
134,0,0,0,0.000000," ","integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{csch}\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*csch(f*x + e), x)","F",0
135,0,0,0,0.000000," ","integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{csch}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*csch(f*x + e)^3, x)","F",0
136,0,0,0,0.000000," ","integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{csch}\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*csch(f*x + e)^5, x)","F",0
137,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \sinh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sinh(f*x + e)^4, x)","F",0
138,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \sinh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sinh(f*x + e)^2, x)","F",0
139,0,0,0,0.000000," ","integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{csch}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*csch(f*x + e)^2, x)","F",0
140,0,0,0,0.000000," ","integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{csch}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*csch(f*x + e)^4, x)","F",0
141,1,182,0,0.157334," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\frac{3}{8} \, a x + \frac{b e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} - \frac{7 \, b e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{a e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{7 \, b e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} - \frac{a e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{35 \, b e^{\left(d x + c\right)}}{128 \, d} - \frac{35 \, b e^{\left(-d x - c\right)}}{128 \, d} + \frac{a e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} + \frac{7 \, b e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d} - \frac{a e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} - \frac{7 \, b e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} + \frac{b e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d}"," ",0,"3/8*a*x + 1/896*b*e^(7*d*x + 7*c)/d - 7/640*b*e^(5*d*x + 5*c)/d + 1/64*a*e^(4*d*x + 4*c)/d + 7/128*b*e^(3*d*x + 3*c)/d - 1/8*a*e^(2*d*x + 2*c)/d - 35/128*b*e^(d*x + c)/d - 35/128*b*e^(-d*x - c)/d + 1/8*a*e^(-2*d*x - 2*c)/d + 7/128*b*e^(-3*d*x - 3*c)/d - 1/64*a*e^(-4*d*x - 4*c)/d - 7/640*b*e^(-5*d*x - 5*c)/d + 1/896*b*e^(-7*d*x - 7*c)/d","A",0
142,1,152,0,0.136395," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","-\frac{5}{16} \, b x + \frac{b e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{3 \, b e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{a e^{\left(3 \, d x + 3 \, c\right)}}{24 \, d} + \frac{15 \, b e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{3 \, a e^{\left(d x + c\right)}}{8 \, d} - \frac{3 \, a e^{\left(-d x - c\right)}}{8 \, d} - \frac{15 \, b e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} + \frac{a e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d} + \frac{3 \, b e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} - \frac{b e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"-5/16*b*x + 1/384*b*e^(6*d*x + 6*c)/d - 3/128*b*e^(4*d*x + 4*c)/d + 1/24*a*e^(3*d*x + 3*c)/d + 15/128*b*e^(2*d*x + 2*c)/d - 3/8*a*e^(d*x + c)/d - 3/8*a*e^(-d*x - c)/d - 15/128*b*e^(-2*d*x - 2*c)/d + 1/24*a*e^(-3*d*x - 3*c)/d + 3/128*b*e^(-4*d*x - 4*c)/d - 1/384*b*e^(-6*d*x - 6*c)/d","A",0
143,1,122,0,0.150749," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","-\frac{1}{2} \, a x + \frac{b e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} - \frac{5 \, b e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{a e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{5 \, b e^{\left(d x + c\right)}}{16 \, d} + \frac{5 \, b e^{\left(-d x - c\right)}}{16 \, d} - \frac{a e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{5 \, b e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d} + \frac{b e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d}"," ",0,"-1/2*a*x + 1/160*b*e^(5*d*x + 5*c)/d - 5/96*b*e^(3*d*x + 3*c)/d + 1/8*a*e^(2*d*x + 2*c)/d + 5/16*b*e^(d*x + c)/d + 5/16*b*e^(-d*x - c)/d - 1/8*a*e^(-2*d*x - 2*c)/d - 5/96*b*e^(-3*d*x - 3*c)/d + 1/160*b*e^(-5*d*x - 5*c)/d","A",0
144,1,92,0,0.145623," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\frac{3}{8} \, b x + \frac{b e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} - \frac{b e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{a e^{\left(d x + c\right)}}{2 \, d} + \frac{a e^{\left(-d x - c\right)}}{2 \, d} + \frac{b e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{b e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"3/8*b*x + 1/64*b*e^(4*d*x + 4*c)/d - 1/8*b*e^(2*d*x + 2*c)/d + 1/2*a*e^(d*x + c)/d + 1/2*a*e^(-d*x - c)/d + 1/8*b*e^(-2*d*x - 2*c)/d - 1/64*b*e^(-4*d*x - 4*c)/d","A",0
145,1,59,0,0.117908," ","integrate(a+b*sinh(d*x+c)^3,x, algorithm=""giac"")","a x + \frac{1}{24} \, b {\left(\frac{e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{9 \, e^{\left(d x + c\right)}}{d} - \frac{9 \, e^{\left(-d x - c\right)}}{d} + \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{d}\right)}"," ",0,"a*x + 1/24*b*(e^(3*d*x + 3*c)/d - 9*e^(d*x + c)/d - 9*e^(-d*x - c)/d + e^(-3*d*x - 3*c)/d)","A",0
146,1,62,0,0.130372," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","-\frac{4 \, {\left(d x + c\right)} b - b e^{\left(2 \, d x + 2 \, c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} + 8 \, a \log\left(e^{\left(d x + c\right)} + 1\right) - 8 \, a \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right)}{8 \, d}"," ",0,"-1/8*(4*(d*x + c)*b - b*e^(2*d*x + 2*c) + b*e^(-2*d*x - 2*c) + 8*a*log(e^(d*x + c) + 1) - 8*a*log(abs(e^(d*x + c) - 1)))/d","A",0
147,1,59,0,0.140119," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\frac{b e^{\left(d x + c\right)} + \frac{b e^{\left(2 \, d x + 2 \, c\right)} - 4 \, a e^{\left(d x + c\right)} - b}{e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}}}{2 \, d}"," ",0,"1/2*(b*e^(d*x + c) + (b*e^(2*d*x + 2*c) - 4*a*e^(d*x + c) - b)/(e^(3*d*x + 3*c) - e^(d*x + c)))/d","B",0
148,1,73,0,0.148780," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\frac{2 \, {\left(d x + c\right)} b + a \log\left(e^{\left(d x + c\right)} + 1\right) - a \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{2 \, {\left(a e^{\left(3 \, d x + 3 \, c\right)} + a e^{\left(d x + c\right)}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)*b + a*log(e^(d*x + c) + 1) - a*log(abs(e^(d*x + c) - 1)) - 2*(a*e^(3*d*x + 3*c) + a*e^(d*x + c))/(e^(2*d*x + 2*c) - 1)^2)/d","B",0
149,1,62,0,0.144014," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","-\frac{3 \, b \log\left(e^{\left(d x + c\right)} + 1\right) - 3 \, b \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + \frac{4 \, {\left(3 \, a e^{\left(2 \, d x + 2 \, c\right)} - a\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"-1/3*(3*b*log(e^(d*x + c) + 1) - 3*b*log(abs(e^(d*x + c) - 1)) + 4*(3*a*e^(2*d*x + 2*c) - a)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
150,1,301,0,0.185682," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","-\frac{5}{8} \, a b x + \frac{b^{2} e^{\left(9 \, d x + 9 \, c\right)}}{4608 \, d} - \frac{9 \, b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{3584 \, d} + \frac{a b e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} + \frac{9 \, b^{2} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} - \frac{3 \, a b e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{15 \, a b e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} - \frac{15 \, a b e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} + \frac{3 \, a b e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{9 \, b^{2} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} - \frac{a b e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d} - \frac{9 \, b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{3584 \, d} + \frac{b^{2} e^{\left(-9 \, d x - 9 \, c\right)}}{4608 \, d} + \frac{{\left(16 \, a^{2} - 21 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} - \frac{3 \, {\left(32 \, a^{2} - 21 \, b^{2}\right)} e^{\left(d x + c\right)}}{256 \, d} - \frac{3 \, {\left(32 \, a^{2} - 21 \, b^{2}\right)} e^{\left(-d x - c\right)}}{256 \, d} + \frac{{\left(16 \, a^{2} - 21 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d}"," ",0,"-5/8*a*b*x + 1/4608*b^2*e^(9*d*x + 9*c)/d - 9/3584*b^2*e^(7*d*x + 7*c)/d + 1/192*a*b*e^(6*d*x + 6*c)/d + 9/640*b^2*e^(5*d*x + 5*c)/d - 3/64*a*b*e^(4*d*x + 4*c)/d + 15/64*a*b*e^(2*d*x + 2*c)/d - 15/64*a*b*e^(-2*d*x - 2*c)/d + 3/64*a*b*e^(-4*d*x - 4*c)/d + 9/640*b^2*e^(-5*d*x - 5*c)/d - 1/192*a*b*e^(-6*d*x - 6*c)/d - 9/3584*b^2*e^(-7*d*x - 7*c)/d + 1/4608*b^2*e^(-9*d*x - 9*c)/d + 1/384*(16*a^2 - 21*b^2)*e^(3*d*x + 3*c)/d - 3/256*(32*a^2 - 21*b^2)*e^(d*x + c)/d - 3/256*(32*a^2 - 21*b^2)*e^(-d*x - c)/d + 1/384*(16*a^2 - 21*b^2)*e^(-3*d*x - 3*c)/d","A",0
151,1,260,0,0.169947," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","-\frac{1}{128} \, {\left(64 \, a^{2} - 35 \, b^{2}\right)} x + \frac{b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} + \frac{a b e^{\left(5 \, d x + 5 \, c\right)}}{80 \, d} + \frac{7 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} - \frac{5 \, a b e^{\left(3 \, d x + 3 \, c\right)}}{48 \, d} + \frac{5 \, a b e^{\left(d x + c\right)}}{8 \, d} + \frac{5 \, a b e^{\left(-d x - c\right)}}{8 \, d} - \frac{5 \, a b e^{\left(-3 \, d x - 3 \, c\right)}}{48 \, d} - \frac{7 \, b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} + \frac{a b e^{\left(-5 \, d x - 5 \, c\right)}}{80 \, d} + \frac{b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d} - \frac{b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} + \frac{{\left(8 \, a^{2} - 7 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} - \frac{{\left(8 \, a^{2} - 7 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d}"," ",0,"-1/128*(64*a^2 - 35*b^2)*x + 1/2048*b^2*e^(8*d*x + 8*c)/d - 1/192*b^2*e^(6*d*x + 6*c)/d + 1/80*a*b*e^(5*d*x + 5*c)/d + 7/256*b^2*e^(4*d*x + 4*c)/d - 5/48*a*b*e^(3*d*x + 3*c)/d + 5/8*a*b*e^(d*x + c)/d + 5/8*a*b*e^(-d*x - c)/d - 5/48*a*b*e^(-3*d*x - 3*c)/d - 7/256*b^2*e^(-4*d*x - 4*c)/d + 1/80*a*b*e^(-5*d*x - 5*c)/d + 1/192*b^2*e^(-6*d*x - 6*c)/d - 1/2048*b^2*e^(-8*d*x - 8*c)/d + 1/64*(8*a^2 - 7*b^2)*e^(2*d*x + 2*c)/d - 1/64*(8*a^2 - 7*b^2)*e^(-2*d*x - 2*c)/d","A",0
152,1,219,0,0.201864," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{3}{4} \, a b x + \frac{b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} - \frac{7 \, b^{2} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{a b e^{\left(4 \, d x + 4 \, c\right)}}{32 \, d} + \frac{7 \, b^{2} e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} - \frac{a b e^{\left(2 \, d x + 2 \, c\right)}}{4 \, d} + \frac{a b e^{\left(-2 \, d x - 2 \, c\right)}}{4 \, d} + \frac{7 \, b^{2} e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d} - \frac{a b e^{\left(-4 \, d x - 4 \, c\right)}}{32 \, d} - \frac{7 \, b^{2} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} + \frac{b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{{\left(64 \, a^{2} - 35 \, b^{2}\right)} e^{\left(d x + c\right)}}{128 \, d} + \frac{{\left(64 \, a^{2} - 35 \, b^{2}\right)} e^{\left(-d x - c\right)}}{128 \, d}"," ",0,"3/4*a*b*x + 1/896*b^2*e^(7*d*x + 7*c)/d - 7/640*b^2*e^(5*d*x + 5*c)/d + 1/32*a*b*e^(4*d*x + 4*c)/d + 7/128*b^2*e^(3*d*x + 3*c)/d - 1/4*a*b*e^(2*d*x + 2*c)/d + 1/4*a*b*e^(-2*d*x - 2*c)/d + 7/128*b^2*e^(-3*d*x - 3*c)/d - 1/32*a*b*e^(-4*d*x - 4*c)/d - 7/640*b^2*e^(-5*d*x - 5*c)/d + 1/896*b^2*e^(-7*d*x - 7*c)/d + 1/128*(64*a^2 - 35*b^2)*e^(d*x + c)/d + 1/128*(64*a^2 - 35*b^2)*e^(-d*x - c)/d","A",0
153,1,178,0,0.125276," ","integrate((a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{1}{16} \, {\left(16 \, a^{2} - 5 \, b^{2}\right)} x + \frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{a b e^{\left(3 \, d x + 3 \, c\right)}}{12 \, d} + \frac{15 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{3 \, a b e^{\left(d x + c\right)}}{4 \, d} - \frac{3 \, a b e^{\left(-d x - c\right)}}{4 \, d} - \frac{15 \, b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} + \frac{a b e^{\left(-3 \, d x - 3 \, c\right)}}{12 \, d} + \frac{3 \, b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} - \frac{b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"1/16*(16*a^2 - 5*b^2)*x + 1/384*b^2*e^(6*d*x + 6*c)/d - 3/128*b^2*e^(4*d*x + 4*c)/d + 1/12*a*b*e^(3*d*x + 3*c)/d + 15/128*b^2*e^(2*d*x + 2*c)/d - 3/4*a*b*e^(d*x + c)/d - 3/4*a*b*e^(-d*x - c)/d - 15/128*b^2*e^(-2*d*x - 2*c)/d + 1/12*a*b*e^(-3*d*x - 3*c)/d + 3/128*b^2*e^(-4*d*x - 4*c)/d - 1/384*b^2*e^(-6*d*x - 6*c)/d","A",0
154,1,154,0,0.210992," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","-\frac{480 \, {\left(d x + c\right)} a b - 3 \, b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 25 \, b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 120 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 150 \, b^{2} e^{\left(d x + c\right)} + 480 \, a^{2} \log\left(e^{\left(d x + c\right)} + 1\right) - 480 \, a^{2} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - {\left(150 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 120 \, a b e^{\left(3 \, d x + 3 \, c\right)} - 25 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{480 \, d}"," ",0,"-1/480*(480*(d*x + c)*a*b - 3*b^2*e^(5*d*x + 5*c) + 25*b^2*e^(3*d*x + 3*c) - 120*a*b*e^(2*d*x + 2*c) - 150*b^2*e^(d*x + c) + 480*a^2*log(e^(d*x + c) + 1) - 480*a^2*log(abs(e^(d*x + c) - 1)) - (150*b^2*e^(4*d*x + 4*c) - 120*a*b*e^(3*d*x + 3*c) - 25*b^2*e^(2*d*x + 2*c) + 3*b^2)*e^(-5*d*x - 5*c))/d","A",0
155,1,149,0,0.198377," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{24 \, {\left(d x + c\right)} b^{2} + b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 64 \, a b e^{\left(d x + c\right)} + \frac{{\left(64 \, a b e^{\left(5 \, d x + 5 \, c\right)} - 64 \, a b e^{\left(3 \, d x + 3 \, c\right)} - 9 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2} - 8 \, {\left(16 \, a^{2} - b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)} {\left(e^{\left(d x + c\right)} - 1\right)}}}{64 \, d}"," ",0,"1/64*(24*(d*x + c)*b^2 + b^2*e^(4*d*x + 4*c) - 8*b^2*e^(2*d*x + 2*c) + 64*a*b*e^(d*x + c) + (64*a*b*e^(5*d*x + 5*c) - 64*a*b*e^(3*d*x + 3*c) - 9*b^2*e^(2*d*x + 2*c) + b^2 - 8*(16*a^2 - b^2)*e^(4*d*x + 4*c))*e^(-4*d*x - 4*c)/((e^(d*x + c) + 1)*(e^(d*x + c) - 1)))/d","A",0
156,1,162,0,0.203613," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{48 \, {\left(d x + c\right)} a b + b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 9 \, b^{2} e^{\left(d x + c\right)} + 12 \, a^{2} \log\left(e^{\left(d x + c\right)} + 1\right) - 12 \, a^{2} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{{\left(11 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2} + 3 \, {\left(8 \, a^{2} + 3 \, b^{2}\right)} e^{\left(6 \, d x + 6 \, c\right)} + {\left(24 \, a^{2} - 19 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{2} {\left(e^{\left(d x + c\right)} - 1\right)}^{2}}}{24 \, d}"," ",0,"1/24*(48*(d*x + c)*a*b + b^2*e^(3*d*x + 3*c) - 9*b^2*e^(d*x + c) + 12*a^2*log(e^(d*x + c) + 1) - 12*a^2*log(abs(e^(d*x + c) - 1)) - (11*b^2*e^(2*d*x + 2*c) - b^2 + 3*(8*a^2 + 3*b^2)*e^(6*d*x + 6*c) + (24*a^2 - 19*b^2)*e^(4*d*x + 4*c))*e^(-3*d*x - 3*c)/((e^(d*x + c) + 1)^2*(e^(d*x + c) - 1)^2))/d","B",0
157,1,151,0,0.201997," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","-\frac{12 \, {\left(d x + c\right)} b^{2} - 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 48 \, a b \log\left(e^{\left(d x + c\right)} + 1\right) - 48 \, a b \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + \frac{{\left(3 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{2} + 3 \, {\left(32 \, a^{2} - 3 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)} - {\left(32 \, a^{2} - 9 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{3} {\left(e^{\left(d x + c\right)} - 1\right)}^{3}}}{24 \, d}"," ",0,"-1/24*(12*(d*x + c)*b^2 - 3*b^2*e^(2*d*x + 2*c) + 48*a*b*log(e^(d*x + c) + 1) - 48*a*b*log(abs(e^(d*x + c) - 1)) + (3*b^2*e^(6*d*x + 6*c) - 3*b^2 + 3*(32*a^2 - 3*b^2)*e^(4*d*x + 4*c) - (32*a^2 - 9*b^2)*e^(2*d*x + 2*c))*e^(-2*d*x - 2*c)/((e^(d*x + c) + 1)^3*(e^(d*x + c) - 1)^3))/d","B",0
158,1,172,0,0.234856," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{4 \, b^{2} e^{\left(d x + c\right)} + 4 \, b^{2} e^{\left(-d x - c\right)} - 3 \, a^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, a^{2} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(3 \, a^{2} e^{\left(7 \, d x + 7 \, c\right)} - 16 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 11 \, a^{2} e^{\left(5 \, d x + 5 \, c\right)} + 48 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 11 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 48 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{2} e^{\left(d x + c\right)} + 16 \, a b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{4}}}{8 \, d}"," ",0,"1/8*(4*b^2*e^(d*x + c) + 4*b^2*e^(-d*x - c) - 3*a^2*log(e^(d*x + c) + 1) + 3*a^2*log(abs(e^(d*x + c) - 1)) + 2*(3*a^2*e^(7*d*x + 7*c) - 16*a*b*e^(6*d*x + 6*c) - 11*a^2*e^(5*d*x + 5*c) + 48*a*b*e^(4*d*x + 4*c) - 11*a^2*e^(3*d*x + 3*c) - 48*a*b*e^(2*d*x + 2*c) + 3*a^2*e^(d*x + c) + 16*a*b)/(e^(2*d*x + 2*c) - 1)^4)/d","B",0
159,1,141,0,0.213644," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{15 \, {\left(d x + c\right)} b^{2} + 15 \, a b \log\left(e^{\left(d x + c\right)} + 1\right) - 15 \, a b \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{2 \, {\left(15 \, a b e^{\left(9 \, d x + 9 \, c\right)} - 30 \, a b e^{\left(7 \, d x + 7 \, c\right)} + 80 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 30 \, a b e^{\left(3 \, d x + 3 \, c\right)} - 40 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 15 \, a b e^{\left(d x + c\right)} + 8 \, a^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*(d*x + c)*b^2 + 15*a*b*log(e^(d*x + c) + 1) - 15*a*b*log(abs(e^(d*x + c) - 1)) - 2*(15*a*b*e^(9*d*x + 9*c) - 30*a*b*e^(7*d*x + 7*c) + 80*a^2*e^(4*d*x + 4*c) + 30*a*b*e^(3*d*x + 3*c) - 40*a^2*e^(2*d*x + 2*c) - 15*a*b*e^(d*x + c) + 8*a^2)/(e^(2*d*x + 2*c) - 1)^5)/d","A",0
160,1,204,0,0.252862," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{3 \, {\left(5 \, a^{2} - 16 \, b^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right) - 3 \, {\left(5 \, a^{2} - 16 \, b^{2}\right)} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{2 \, {\left(15 \, a^{2} e^{\left(11 \, d x + 11 \, c\right)} - 85 \, a^{2} e^{\left(9 \, d x + 9 \, c\right)} + 192 \, a b e^{\left(8 \, d x + 8 \, c\right)} + 198 \, a^{2} e^{\left(7 \, d x + 7 \, c\right)} - 640 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 198 \, a^{2} e^{\left(5 \, d x + 5 \, c\right)} + 768 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 85 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 384 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 15 \, a^{2} e^{\left(d x + c\right)} + 64 \, a b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{6}}}{48 \, d}"," ",0,"1/48*(3*(5*a^2 - 16*b^2)*log(e^(d*x + c) + 1) - 3*(5*a^2 - 16*b^2)*log(abs(e^(d*x + c) - 1)) - 2*(15*a^2*e^(11*d*x + 11*c) - 85*a^2*e^(9*d*x + 9*c) + 192*a*b*e^(8*d*x + 8*c) + 198*a^2*e^(7*d*x + 7*c) - 640*a*b*e^(6*d*x + 6*c) + 198*a^2*e^(5*d*x + 5*c) + 768*a*b*e^(4*d*x + 4*c) - 85*a^2*e^(3*d*x + 3*c) - 384*a*b*e^(2*d*x + 2*c) + 15*a^2*e^(d*x + c) + 64*a*b)/(e^(2*d*x + 2*c) - 1)^6)/d","A",0
161,1,431,0,0.261239," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(11 \, d x + 11 \, c\right)}}{22528 \, d} - \frac{11 \, b^{3} e^{\left(9 \, d x + 9 \, c\right)}}{18432 \, d} + \frac{3 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} + \frac{55 \, b^{3} e^{\left(7 \, d x + 7 \, c\right)}}{14336 \, d} - \frac{a b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{64 \, d} + \frac{21 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} - \frac{21 \, a b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} + \frac{a b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{64 \, d} + \frac{55 \, b^{3} e^{\left(-7 \, d x - 7 \, c\right)}}{14336 \, d} - \frac{3 \, a b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} - \frac{11 \, b^{3} e^{\left(-9 \, d x - 9 \, c\right)}}{18432 \, d} + \frac{b^{3} e^{\left(-11 \, d x - 11 \, c\right)}}{22528 \, d} - \frac{1}{128} \, {\left(64 \, a^{3} - 105 \, a b^{2}\right)} x + \frac{3 \, {\left(64 \, a^{2} b - 55 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{10240 \, d} - \frac{5 \, {\left(32 \, a^{2} b - 11 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{1024 \, d} + \frac{{\left(8 \, a^{3} - 21 \, a b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} + \frac{3 \, {\left(320 \, a^{2} b - 77 \, b^{3}\right)} e^{\left(d x + c\right)}}{1024 \, d} + \frac{3 \, {\left(320 \, a^{2} b - 77 \, b^{3}\right)} e^{\left(-d x - c\right)}}{1024 \, d} - \frac{{\left(8 \, a^{3} - 21 \, a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} - \frac{5 \, {\left(32 \, a^{2} b - 11 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{1024 \, d} + \frac{3 \, {\left(64 \, a^{2} b - 55 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{10240 \, d}"," ",0,"1/22528*b^3*e^(11*d*x + 11*c)/d - 11/18432*b^3*e^(9*d*x + 9*c)/d + 3/2048*a*b^2*e^(8*d*x + 8*c)/d + 55/14336*b^3*e^(7*d*x + 7*c)/d - 1/64*a*b^2*e^(6*d*x + 6*c)/d + 21/256*a*b^2*e^(4*d*x + 4*c)/d - 21/256*a*b^2*e^(-4*d*x - 4*c)/d + 1/64*a*b^2*e^(-6*d*x - 6*c)/d + 55/14336*b^3*e^(-7*d*x - 7*c)/d - 3/2048*a*b^2*e^(-8*d*x - 8*c)/d - 11/18432*b^3*e^(-9*d*x - 9*c)/d + 1/22528*b^3*e^(-11*d*x - 11*c)/d - 1/128*(64*a^3 - 105*a*b^2)*x + 3/10240*(64*a^2*b - 55*b^3)*e^(5*d*x + 5*c)/d - 5/1024*(32*a^2*b - 11*b^3)*e^(3*d*x + 3*c)/d + 1/64*(8*a^3 - 21*a*b^2)*e^(2*d*x + 2*c)/d + 3/1024*(320*a^2*b - 77*b^3)*e^(d*x + c)/d + 3/1024*(320*a^2*b - 77*b^3)*e^(-d*x - c)/d - 1/64*(8*a^3 - 21*a*b^2)*e^(-2*d*x - 2*c)/d - 5/1024*(32*a^2*b - 11*b^3)*e^(-3*d*x - 3*c)/d + 3/10240*(64*a^2*b - 55*b^3)*e^(-5*d*x - 5*c)/d","A",0
162,1,379,0,0.248599," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(10 \, d x + 10 \, c\right)}}{10240 \, d} - \frac{5 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)}}{4096 \, d} + \frac{3 \, a b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} + \frac{15 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)}}{2048 \, d} - \frac{21 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{21 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} + \frac{21 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d} - \frac{21 \, a b^{2} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} - \frac{15 \, b^{3} e^{\left(-6 \, d x - 6 \, c\right)}}{2048 \, d} + \frac{3 \, a b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{5 \, b^{3} e^{\left(-8 \, d x - 8 \, c\right)}}{4096 \, d} - \frac{b^{3} e^{\left(-10 \, d x - 10 \, c\right)}}{10240 \, d} + \frac{9}{256} \, {\left(32 \, a^{2} b - 7 \, b^{3}\right)} x + \frac{3 \, {\left(8 \, a^{2} b - 5 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{512 \, d} - \frac{3 \, {\left(128 \, a^{2} b - 35 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{1024 \, d} + \frac{{\left(64 \, a^{3} - 105 \, a b^{2}\right)} e^{\left(d x + c\right)}}{128 \, d} + \frac{{\left(64 \, a^{3} - 105 \, a b^{2}\right)} e^{\left(-d x - c\right)}}{128 \, d} + \frac{3 \, {\left(128 \, a^{2} b - 35 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{1024 \, d} - \frac{3 \, {\left(8 \, a^{2} b - 5 \, b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{512 \, d}"," ",0,"1/10240*b^3*e^(10*d*x + 10*c)/d - 5/4096*b^3*e^(8*d*x + 8*c)/d + 3/896*a*b^2*e^(7*d*x + 7*c)/d + 15/2048*b^3*e^(6*d*x + 6*c)/d - 21/640*a*b^2*e^(5*d*x + 5*c)/d + 21/128*a*b^2*e^(3*d*x + 3*c)/d + 21/128*a*b^2*e^(-3*d*x - 3*c)/d - 21/640*a*b^2*e^(-5*d*x - 5*c)/d - 15/2048*b^3*e^(-6*d*x - 6*c)/d + 3/896*a*b^2*e^(-7*d*x - 7*c)/d + 5/4096*b^3*e^(-8*d*x - 8*c)/d - 1/10240*b^3*e^(-10*d*x - 10*c)/d + 9/256*(32*a^2*b - 7*b^3)*x + 3/512*(8*a^2*b - 5*b^3)*e^(4*d*x + 4*c)/d - 3/1024*(128*a^2*b - 35*b^3)*e^(2*d*x + 2*c)/d + 1/128*(64*a^3 - 105*a*b^2)*e^(d*x + c)/d + 1/128*(64*a^3 - 105*a*b^2)*e^(-d*x - c)/d + 3/1024*(128*a^2*b - 35*b^3)*e^(-2*d*x - 2*c)/d - 3/512*(8*a^2*b - 5*b^3)*e^(-4*d*x - 4*c)/d","A",0
163,1,327,0,0.192340," ","integrate((a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(9 \, d x + 9 \, c\right)}}{4608 \, d} - \frac{9 \, b^{3} e^{\left(7 \, d x + 7 \, c\right)}}{3584 \, d} + \frac{a b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{128 \, d} + \frac{9 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} - \frac{9 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{45 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{45 \, a b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} + \frac{9 \, a b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} + \frac{9 \, b^{3} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} - \frac{a b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{128 \, d} - \frac{9 \, b^{3} e^{\left(-7 \, d x - 7 \, c\right)}}{3584 \, d} + \frac{b^{3} e^{\left(-9 \, d x - 9 \, c\right)}}{4608 \, d} + \frac{1}{16} \, {\left(16 \, a^{3} - 15 \, a b^{2}\right)} x + \frac{{\left(16 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} - \frac{9 \, {\left(32 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(d x + c\right)}}{256 \, d} - \frac{9 \, {\left(32 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(-d x - c\right)}}{256 \, d} + \frac{{\left(16 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d}"," ",0,"1/4608*b^3*e^(9*d*x + 9*c)/d - 9/3584*b^3*e^(7*d*x + 7*c)/d + 1/128*a*b^2*e^(6*d*x + 6*c)/d + 9/640*b^3*e^(5*d*x + 5*c)/d - 9/128*a*b^2*e^(4*d*x + 4*c)/d + 45/128*a*b^2*e^(2*d*x + 2*c)/d - 45/128*a*b^2*e^(-2*d*x - 2*c)/d + 9/128*a*b^2*e^(-4*d*x - 4*c)/d + 9/640*b^3*e^(-5*d*x - 5*c)/d - 1/128*a*b^2*e^(-6*d*x - 6*c)/d - 9/3584*b^3*e^(-7*d*x - 7*c)/d + 1/4608*b^3*e^(-9*d*x - 9*c)/d + 1/16*(16*a^3 - 15*a*b^2)*x + 1/128*(16*a^2*b - 7*b^3)*e^(3*d*x + 3*c)/d - 9/256*(32*a^2*b - 7*b^3)*e^(d*x + c)/d - 9/256*(32*a^2*b - 7*b^3)*e^(-d*x - c)/d + 1/128*(16*a^2*b - 7*b^3)*e^(-3*d*x - 3*c)/d","A",0
164,1,279,0,0.282543," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{15 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 160 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 576 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 840 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 4800 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 11520 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 3360 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 28800 \, a b^{2} e^{\left(d x + c\right)} - 30720 \, a^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 30720 \, a^{3} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - 240 \, {\left(192 \, a^{2} b - 35 \, b^{3}\right)} {\left(d x + c\right)} + {\left(28800 \, a b^{2} e^{\left(7 \, d x + 7 \, c\right)} - 4800 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)} - 840 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 576 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 160 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 15 \, b^{3} - 480 \, {\left(24 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{30720 \, d}"," ",0,"1/30720*(15*b^3*e^(8*d*x + 8*c) - 160*b^3*e^(6*d*x + 6*c) + 576*a*b^2*e^(5*d*x + 5*c) + 840*b^3*e^(4*d*x + 4*c) - 4800*a*b^2*e^(3*d*x + 3*c) + 11520*a^2*b*e^(2*d*x + 2*c) - 3360*b^3*e^(2*d*x + 2*c) + 28800*a*b^2*e^(d*x + c) - 30720*a^3*log(e^(d*x + c) + 1) + 30720*a^3*log(abs(e^(d*x + c) - 1)) - 240*(192*a^2*b - 35*b^3)*(d*x + c) + (28800*a*b^2*e^(7*d*x + 7*c) - 4800*a*b^2*e^(5*d*x + 5*c) - 840*b^3*e^(4*d*x + 4*c) + 576*a*b^2*e^(3*d*x + 3*c) + 160*b^3*e^(2*d*x + 2*c) - 15*b^3 - 480*(24*a^2*b - 7*b^3)*e^(6*d*x + 6*c))*e^(-8*d*x - 8*c))/d","A",0
165,1,276,0,0.299781," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{5040 \, {\left(d x + c\right)} a b^{2} + 5 \, b^{3} e^{\left(7 \, d x + 7 \, c\right)} - 49 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)} + 210 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 245 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 1680 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 6720 \, a^{2} b e^{\left(d x + c\right)} - 1225 \, b^{3} e^{\left(d x + c\right)} - \frac{{\left(1890 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 294 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 210 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 54 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 5 \, b^{3} - 35 \, {\left(192 \, a^{2} b - 35 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)} + 560 \, {\left(16 \, a^{3} - 3 \, a b^{2}\right)} e^{\left(7 \, d x + 7 \, c\right)} + 210 \, {\left(32 \, a^{2} b - 7 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)} {\left(e^{\left(d x + c\right)} - 1\right)}}}{4480 \, d}"," ",0,"1/4480*(5040*(d*x + c)*a*b^2 + 5*b^3*e^(7*d*x + 7*c) - 49*b^3*e^(5*d*x + 5*c) + 210*a*b^2*e^(4*d*x + 4*c) + 245*b^3*e^(3*d*x + 3*c) - 1680*a*b^2*e^(2*d*x + 2*c) + 6720*a^2*b*e^(d*x + c) - 1225*b^3*e^(d*x + c) - (1890*a*b^2*e^(5*d*x + 5*c) + 294*b^3*e^(4*d*x + 4*c) - 210*a*b^2*e^(3*d*x + 3*c) - 54*b^3*e^(2*d*x + 2*c) + 5*b^3 - 35*(192*a^2*b - 35*b^3)*e^(8*d*x + 8*c) + 560*(16*a^3 - 3*a*b^2)*e^(7*d*x + 7*c) + 210*(32*a^2*b - 7*b^3)*e^(6*d*x + 6*c))*e^(-7*d*x - 7*c)/((e^(d*x + c) + 1)*(e^(d*x + c) - 1)))/d","A",0
166,1,289,0,0.331069," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 45 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 432 \, a b^{2} e^{\left(d x + c\right)} + 192 \, a^{3} \log\left(e^{\left(d x + c\right)} + 1\right) - 192 \, a^{3} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + 24 \, {\left(48 \, a^{2} b - 5 \, b^{3}\right)} {\left(d x + c\right)} - \frac{{\left(45 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 99 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 528 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 64 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 48 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 11 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3} + 48 \, {\left(8 \, a^{3} + 9 \, a b^{2}\right)} e^{\left(9 \, d x + 9 \, c\right)} + 48 \, {\left(8 \, a^{3} - 19 \, a b^{2}\right)} e^{\left(7 \, d x + 7 \, c\right)}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{2} {\left(e^{\left(d x + c\right)} - 1\right)}^{2}}}{384 \, d}"," ",0,"1/384*(b^3*e^(6*d*x + 6*c) - 9*b^3*e^(4*d*x + 4*c) + 48*a*b^2*e^(3*d*x + 3*c) + 45*b^3*e^(2*d*x + 2*c) - 432*a*b^2*e^(d*x + c) + 192*a^3*log(e^(d*x + c) + 1) - 192*a^3*log(abs(e^(d*x + c) - 1)) + 24*(48*a^2*b - 5*b^3)*(d*x + c) - (45*b^3*e^(8*d*x + 8*c) - 99*b^3*e^(6*d*x + 6*c) + 528*a*b^2*e^(5*d*x + 5*c) + 64*b^3*e^(4*d*x + 4*c) - 48*a*b^2*e^(3*d*x + 3*c) - 11*b^3*e^(2*d*x + 2*c) + b^3 + 48*(8*a^3 + 9*a*b^2)*e^(9*d*x + 9*c) + 48*(8*a^3 - 19*a*b^2)*e^(7*d*x + 7*c))*e^(-6*d*x - 6*c)/((e^(d*x + c) + 1)^2*(e^(d*x + c) - 1)^2))/d","B",0
167,1,285,0,0.335651," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","-\frac{720 \, {\left(d x + c\right)} a b^{2} - 3 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)} + 25 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 180 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 150 \, b^{3} e^{\left(d x + c\right)} + 1440 \, a^{2} b \log\left(e^{\left(d x + c\right)} + 1\right) - 1440 \, a^{2} b \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{{\left(150 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 180 \, a b^{2} e^{\left(9 \, d x + 9 \, c\right)} - 475 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 528 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 234 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 180 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 34 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b^{3} - 60 \, {\left(32 \, a^{3} - 9 \, a b^{2}\right)} e^{\left(7 \, d x + 7 \, c\right)} + 20 \, {\left(32 \, a^{3} - 27 \, a b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{3} {\left(e^{\left(d x + c\right)} - 1\right)}^{3}}}{480 \, d}"," ",0,"-1/480*(720*(d*x + c)*a*b^2 - 3*b^3*e^(5*d*x + 5*c) + 25*b^3*e^(3*d*x + 3*c) - 180*a*b^2*e^(2*d*x + 2*c) - 150*b^3*e^(d*x + c) + 1440*a^2*b*log(e^(d*x + c) + 1) - 1440*a^2*b*log(abs(e^(d*x + c) - 1)) - (150*b^3*e^(10*d*x + 10*c) - 180*a*b^2*e^(9*d*x + 9*c) - 475*b^3*e^(8*d*x + 8*c) + 528*b^3*e^(6*d*x + 6*c) - 234*b^3*e^(4*d*x + 4*c) + 180*a*b^2*e^(3*d*x + 3*c) + 34*b^3*e^(2*d*x + 2*c) - 3*b^3 - 60*(32*a^3 - 9*a*b^2)*e^(7*d*x + 7*c) + 20*(32*a^3 - 27*a*b^2)*e^(5*d*x + 5*c))*e^(-5*d*x - 5*c)/((e^(d*x + c) + 1)^3*(e^(d*x + c) - 1)^3))/d","B",0
168,1,329,0,0.385658," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{24 \, {\left(d x + c\right)} b^{3} + b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 96 \, a b^{2} e^{\left(d x + c\right)} - 24 \, a^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 24 \, a^{3} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + \frac{{\left(96 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 12 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - b^{3} + 48 \, {\left(a^{3} + 2 \, a b^{2}\right)} e^{\left(11 \, d x + 11 \, c\right)} - 8 \, {\left(48 \, a^{2} b - b^{3}\right)} e^{\left(10 \, d x + 10 \, c\right)} - 16 \, {\left(11 \, a^{3} + 24 \, a b^{2}\right)} e^{\left(9 \, d x + 9 \, c\right)} + 3 \, {\left(384 \, a^{2} b - 11 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)} - 16 \, {\left(11 \, a^{3} - 36 \, a b^{2}\right)} e^{\left(7 \, d x + 7 \, c\right)} - 4 \, {\left(288 \, a^{2} b - 13 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, {\left(a^{3} - 8 \, a b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)} + 2 \, {\left(192 \, a^{2} b - 19 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{4} {\left(e^{\left(d x + c\right)} - 1\right)}^{4}}}{64 \, d}"," ",0,"1/64*(24*(d*x + c)*b^3 + b^3*e^(4*d*x + 4*c) - 8*b^3*e^(2*d*x + 2*c) + 96*a*b^2*e^(d*x + c) - 24*a^3*log(e^(d*x + c) + 1) + 24*a^3*log(abs(e^(d*x + c) - 1)) + (96*a*b^2*e^(3*d*x + 3*c) + 12*b^3*e^(2*d*x + 2*c) - b^3 + 48*(a^3 + 2*a*b^2)*e^(11*d*x + 11*c) - 8*(48*a^2*b - b^3)*e^(10*d*x + 10*c) - 16*(11*a^3 + 24*a*b^2)*e^(9*d*x + 9*c) + 3*(384*a^2*b - 11*b^3)*e^(8*d*x + 8*c) - 16*(11*a^3 - 36*a*b^2)*e^(7*d*x + 7*c) - 4*(288*a^2*b - 13*b^3)*e^(6*d*x + 6*c) + 48*(a^3 - 8*a*b^2)*e^(5*d*x + 5*c) + 2*(192*a^2*b - 19*b^3)*e^(4*d*x + 4*c))*e^(-4*d*x - 4*c)/((e^(d*x + c) + 1)^4*(e^(d*x + c) - 1)^4))/d","B",0
169,1,270,0,0.335873," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","\frac{360 \, {\left(d x + c\right)} a b^{2} + 5 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 45 \, b^{3} e^{\left(d x + c\right)} + 180 \, a^{2} b \log\left(e^{\left(d x + c\right)} + 1\right) - 180 \, a^{2} b \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - \frac{{\left(475 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 1280 \, a^{3} e^{\left(7 \, d x + 7 \, c\right)} - 640 \, a^{3} e^{\left(5 \, d x + 5 \, c\right)} + 128 \, a^{3} e^{\left(3 \, d x + 3 \, c\right)} - 70 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 5 \, b^{3} + 45 \, {\left(8 \, a^{2} b + b^{3}\right)} e^{\left(12 \, d x + 12 \, c\right)} - 10 \, {\left(72 \, a^{2} b + 23 \, b^{3}\right)} e^{\left(10 \, d x + 10 \, c\right)} + 20 \, {\left(36 \, a^{2} b - 25 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)} - 5 \, {\left(72 \, a^{2} b - 55 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{5} {\left(e^{\left(d x + c\right)} - 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(360*(d*x + c)*a*b^2 + 5*b^3*e^(3*d*x + 3*c) - 45*b^3*e^(d*x + c) + 180*a^2*b*log(e^(d*x + c) + 1) - 180*a^2*b*log(abs(e^(d*x + c) - 1)) - (475*b^3*e^(8*d*x + 8*c) + 1280*a^3*e^(7*d*x + 7*c) - 640*a^3*e^(5*d*x + 5*c) + 128*a^3*e^(3*d*x + 3*c) - 70*b^3*e^(2*d*x + 2*c) + 5*b^3 + 45*(8*a^2*b + b^3)*e^(12*d*x + 12*c) - 10*(72*a^2*b + 23*b^3)*e^(10*d*x + 10*c) + 20*(36*a^2*b - 25*b^3)*e^(6*d*x + 6*c) - 5*(72*a^2*b - 55*b^3)*e^(4*d*x + 4*c))*e^(-3*d*x - 3*c)/((e^(d*x + c) + 1)^5*(e^(d*x + c) - 1)^5))/d","B",0
170,1,327,0,0.376270," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""giac"")","-\frac{24 \, {\left(d x + c\right)} b^{3} - 6 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, {\left(5 \, a^{3} - 48 \, a b^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, {\left(5 \, a^{3} - 48 \, a b^{2}\right)} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(15 \, a^{3} e^{\left(13 \, d x + 13 \, c\right)} + 3 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 85 \, a^{3} e^{\left(11 \, d x + 11 \, c\right)} + 198 \, a^{3} e^{\left(9 \, d x + 9 \, c\right)} + 198 \, a^{3} e^{\left(7 \, d x + 7 \, c\right)} - 85 \, a^{3} e^{\left(5 \, d x + 5 \, c\right)} + 15 \, a^{3} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, b^{3} + 18 \, {\left(16 \, a^{2} b - b^{3}\right)} e^{\left(10 \, d x + 10 \, c\right)} - 15 \, {\left(64 \, a^{2} b - 3 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)} + 12 \, {\left(96 \, a^{2} b - 5 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)} - 9 \, {\left(64 \, a^{2} b - 5 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, {\left(16 \, a^{2} b - 3 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(e^{\left(d x + c\right)} + 1\right)}^{6} {\left(e^{\left(d x + c\right)} - 1\right)}^{6}}}{48 \, d}"," ",0,"-1/48*(24*(d*x + c)*b^3 - 6*b^3*e^(2*d*x + 2*c) - 3*(5*a^3 - 48*a*b^2)*log(e^(d*x + c) + 1) + 3*(5*a^3 - 48*a*b^2)*log(abs(e^(d*x + c) - 1)) + 2*(15*a^3*e^(13*d*x + 13*c) + 3*b^3*e^(12*d*x + 12*c) - 85*a^3*e^(11*d*x + 11*c) + 198*a^3*e^(9*d*x + 9*c) + 198*a^3*e^(7*d*x + 7*c) - 85*a^3*e^(5*d*x + 5*c) + 15*a^3*e^(3*d*x + 3*c) + 3*b^3 + 18*(16*a^2*b - b^3)*e^(10*d*x + 10*c) - 15*(64*a^2*b - 3*b^3)*e^(8*d*x + 8*c) + 12*(96*a^2*b - 5*b^3)*e^(6*d*x + 6*c) - 9*(64*a^2*b - 5*b^3)*e^(4*d*x + 4*c) + 6*(16*a^2*b - 3*b^3)*e^(2*d*x + 2*c))*e^(-2*d*x - 2*c)/((e^(d*x + c) + 1)^6*(e^(d*x + c) - 1)^6))/d","B",0
171,0,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{6}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)^6/(b*sinh(d*x + c)^3 + a), x)","F",0
172,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{5}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)^5/(b*sinh(d*x + c)^3 + a), x)","F",0
173,0,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{4}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)^4/(b*sinh(d*x + c)^3 + a), x)","F",0
174,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{3}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)^3/(b*sinh(d*x + c)^3 + a), x)","F",0
175,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{2}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)^2/(b*sinh(d*x + c)^3 + a), x)","F",0
176,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)/(b*sinh(d*x + c)^3 + a), x)","F",0
177,0,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{1}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(1/(b*sinh(d*x + c)^3 + a), x)","F",0
178,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(d x + c\right)}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(csch(d*x + c)/(b*sinh(d*x + c)^3 + a), x)","F",0
179,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(d x + c\right)^{2}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(csch(d*x + c)^2/(b*sinh(d*x + c)^3 + a), x)","F",0
180,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(d x + c\right)^{3}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(csch(d*x + c)^3/(b*sinh(d*x + c)^3 + a), x)","F",0
181,0,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^3),x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(d x + c\right)^{4}}{b \sinh\left(d x + c\right)^{3} + a}\,{d x}"," ",0,"integrate(csch(d*x + c)^4/(b*sinh(d*x + c)^3 + a), x)","F",0
182,1,102,0,0.134431," ","integrate(1/(1+sinh(x)^3),x, algorithm=""giac"")","\frac{1}{6} \, \pi + \frac{1}{6} \, \sqrt{3} \log\left({\left(\sqrt{3} + e^{x} - 1\right)}^{2} + e^{\left(2 \, x\right)}\right) - \frac{1}{6} \, \sqrt{3} \log\left({\left(\sqrt{3} - e^{x} + 1\right)}^{2} + e^{\left(2 \, x\right)}\right) + \frac{1}{6} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, e^{x} + 2 \right|}}{2 \, {\left(\sqrt{2} + e^{x} + 1\right)}}\right) + \frac{1}{3} \, \arctan\left(-{\left(\sqrt{3} + 1\right)} e^{x} - 1\right) + \frac{1}{3} \, \arctan\left({\left(\sqrt{3} - 1\right)} e^{x} - 1\right)"," ",0,"1/6*pi + 1/6*sqrt(3)*log((sqrt(3) + e^x - 1)^2 + e^(2*x)) - 1/6*sqrt(3)*log((sqrt(3) - e^x + 1)^2 + e^(2*x)) + 1/6*sqrt(2)*log(1/2*abs(-2*sqrt(2) + 2*e^x + 2)/(sqrt(2) + e^x + 1)) + 1/3*arctan(-(sqrt(3) + 1)*e^x - 1) + 1/3*arctan((sqrt(3) - 1)*e^x - 1)","A",0
183,1,106,0,0.157444," ","integrate(1/(1-sinh(x)^3),x, algorithm=""giac"")","-\frac{1}{6} \, \pi - \frac{1}{6} \, \sqrt{3} \log\left({\left(\sqrt{3} + e^{x} + 1\right)}^{2} + e^{\left(2 \, x\right)}\right) + \frac{1}{6} \, \sqrt{3} \log\left({\left(\sqrt{3} - e^{x} - 1\right)}^{2} + e^{\left(2 \, x\right)}\right) - \frac{1}{6} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, e^{x} - 2 \right|}}{{\left| 2 \, \sqrt{2} + 2 \, e^{x} - 2 \right|}}\right) - \frac{1}{3} \, \arctan\left(-{\left(\sqrt{3} + 1\right)} e^{x} + 1\right) - \frac{1}{3} \, \arctan\left({\left(\sqrt{3} - 1\right)} e^{x} + 1\right)"," ",0,"-1/6*pi - 1/6*sqrt(3)*log((sqrt(3) + e^x + 1)^2 + e^(2*x)) + 1/6*sqrt(3)*log((sqrt(3) - e^x - 1)^2 + e^(2*x)) - 1/6*sqrt(2)*log(abs(-2*sqrt(2) + 2*e^x - 2)/abs(2*sqrt(2) + 2*e^x - 2)) - 1/3*arctan(-(sqrt(3) + 1)*e^x + 1) - 1/3*arctan((sqrt(3) - 1)*e^x + 1)","A",0
184,1,155,0,0.172741," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{1}{128} \, {\left(48 \, a + 35 \, b\right)} x + \frac{b e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} + \frac{{\left(4 \, a + 7 \, b\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} - \frac{{\left(8 \, a + 7 \, b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} + \frac{{\left(8 \, a + 7 \, b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} - \frac{{\left(4 \, a + 7 \, b\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} + \frac{b e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d} - \frac{b e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d}"," ",0,"1/128*(48*a + 35*b)*x + 1/2048*b*e^(8*d*x + 8*c)/d - 1/192*b*e^(6*d*x + 6*c)/d + 1/256*(4*a + 7*b)*e^(4*d*x + 4*c)/d - 1/64*(8*a + 7*b)*e^(2*d*x + 2*c)/d + 1/64*(8*a + 7*b)*e^(-2*d*x - 2*c)/d - 1/256*(4*a + 7*b)*e^(-4*d*x - 4*c)/d + 1/192*b*e^(-6*d*x - 6*c)/d - 1/2048*b*e^(-8*d*x - 8*c)/d","A",0
185,1,142,0,0.168977," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{b e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} - \frac{7 \, b e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a + 21 \, b\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} - \frac{{\left(48 \, a + 35 \, b\right)} e^{\left(d x + c\right)}}{128 \, d} - \frac{{\left(48 \, a + 35 \, b\right)} e^{\left(-d x - c\right)}}{128 \, d} + \frac{{\left(16 \, a + 21 \, b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} - \frac{7 \, b e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} + \frac{b e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d}"," ",0,"1/896*b*e^(7*d*x + 7*c)/d - 7/640*b*e^(5*d*x + 5*c)/d + 1/384*(16*a + 21*b)*e^(3*d*x + 3*c)/d - 1/128*(48*a + 35*b)*e^(d*x + c)/d - 1/128*(48*a + 35*b)*e^(-d*x - c)/d + 1/384*(16*a + 21*b)*e^(-3*d*x - 3*c)/d - 7/640*b*e^(-5*d*x - 5*c)/d + 1/896*b*e^(-7*d*x - 7*c)/d","B",0
186,1,113,0,0.163210," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{1}{16} \, {\left(8 \, a + 5 \, b\right)} x + \frac{b e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{3 \, b e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{{\left(16 \, a + 15 \, b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a + 15 \, b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} + \frac{3 \, b e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} - \frac{b e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"-1/16*(8*a + 5*b)*x + 1/384*b*e^(6*d*x + 6*c)/d - 3/128*b*e^(4*d*x + 4*c)/d + 1/128*(16*a + 15*b)*e^(2*d*x + 2*c)/d - 1/128*(16*a + 15*b)*e^(-2*d*x - 2*c)/d + 3/128*b*e^(-4*d*x - 4*c)/d - 1/384*b*e^(-6*d*x - 6*c)/d","A",0
187,1,100,0,0.144225," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{b e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} - \frac{5 \, b e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{{\left(8 \, a + 5 \, b\right)} e^{\left(d x + c\right)}}{16 \, d} + \frac{{\left(8 \, a + 5 \, b\right)} e^{\left(-d x - c\right)}}{16 \, d} - \frac{5 \, b e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d} + \frac{b e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d}"," ",0,"1/160*b*e^(5*d*x + 5*c)/d - 5/96*b*e^(3*d*x + 3*c)/d + 1/16*(8*a + 5*b)*e^(d*x + c)/d + 1/16*(8*a + 5*b)*e^(-d*x - c)/d - 5/96*b*e^(-3*d*x - 3*c)/d + 1/160*b*e^(-5*d*x - 5*c)/d","B",0
188,1,66,0,0.145420," ","integrate(a+b*sinh(d*x+c)^4,x, algorithm=""giac"")","\frac{1}{64} \, b {\left(24 \, x + \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} - \frac{8 \, e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{8 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)} + a x"," ",0,"1/64*b*(24*x + e^(4*d*x + 4*c)/d - 8*e^(2*d*x + 2*c)/d + 8*e^(-2*d*x - 2*c)/d - e^(-4*d*x - 4*c)/d) + a*x","A",0
189,1,78,0,0.171024," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{b e^{\left(3 \, d x + 3 \, c\right)} - 9 \, b e^{\left(d x + c\right)} - {\left(9 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 24 \, a \log\left(e^{\left(d x + c\right)} + 1\right) + 24 \, a \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right)}{24 \, d}"," ",0,"1/24*(b*e^(3*d*x + 3*c) - 9*b*e^(d*x + c) - (9*b*e^(2*d*x + 2*c) - b)*e^(-3*d*x - 3*c) - 24*a*log(e^(d*x + c) + 1) + 24*a*log(abs(e^(d*x + c) - 1)))/d","A",0
190,1,88,0,0.176926," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{4 \, {\left(d x + c\right)} b - b e^{\left(2 \, d x + 2 \, c\right)} - \frac{b e^{\left(4 \, d x + 4 \, c\right)} - 16 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(4 \, d x + 4 \, c\right)} - e^{\left(2 \, d x + 2 \, c\right)}}}{8 \, d}"," ",0,"-1/8*(4*(d*x + c)*b - b*e^(2*d*x + 2*c) - (b*e^(4*d*x + 4*c) - 16*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)/(e^(4*d*x + 4*c) - e^(2*d*x + 2*c)))/d","B",0
191,1,107,0,0.191448," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{2 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + a \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - a \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4}}{4 \, d}"," ",0,"1/4*(2*b*(e^(d*x + c) + e^(-d*x - c)) + a*log(e^(d*x + c) + e^(-d*x - c) + 2) - a*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*a*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4))/d","B",0
192,1,45,0,0.161690," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} b - \frac{4 \, {\left(3 \, a e^{\left(2 \, d x + 2 \, c\right)} - a\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*b - 4*(3*a*e^(2*d*x + 2*c) - a)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
193,1,124,0,0.179175," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{{\left(3 \, a + 8 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - {\left(3 \, a + 8 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(3 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 20 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{2}}}{16 \, d}"," ",0,"-1/16*((3*a + 8*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - (3*a + 8*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(3*a*(e^(d*x + c) + e^(-d*x - c))^3 - 20*a*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^2)/d","B",0
194,1,97,0,0.186431," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, b e^{\left(8 \, d x + 8 \, c\right)} - 60 \, b e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a e^{\left(4 \, d x + 4 \, c\right)} + 90 \, b e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a e^{\left(2 \, d x + 2 \, c\right)} - 60 \, b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a + 15 \, b\right)}}{15 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}"," ",0,"-2/15*(15*b*e^(8*d*x + 8*c) - 60*b*e^(6*d*x + 6*c) + 80*a*e^(4*d*x + 4*c) + 90*b*e^(4*d*x + 4*c) - 40*a*e^(2*d*x + 2*c) - 60*b*e^(2*d*x + 2*c) + 8*a + 15*b)/(d*(e^(2*d*x + 2*c) - 1)^5)","B",0
195,1,207,0,0.196008," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{3 \, {\left(5 \, a + 8 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 3 \, {\left(5 \, a + 8 \, b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(15 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 24 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 160 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 192 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 528 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 384 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(5*a + 8*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 3*(5*a + 8*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(15*a*(e^(d*x + c) + e^(-d*x - c))^5 + 24*b*(e^(d*x + c) + e^(-d*x - c))^5 - 160*a*(e^(d*x + c) + e^(-d*x - c))^3 - 192*b*(e^(d*x + c) + e^(-d*x - c))^3 + 528*a*(e^(d*x + c) + e^(-d*x - c)) + 384*b*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^3)/d","B",0
196,1,278,0,0.205636," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(11 \, d x + 11 \, c\right)}}{22528 \, d} - \frac{11 \, b^{2} e^{\left(9 \, d x + 9 \, c\right)}}{18432 \, d} - \frac{11 \, b^{2} e^{\left(-9 \, d x - 9 \, c\right)}}{18432 \, d} + \frac{b^{2} e^{\left(-11 \, d x - 11 \, c\right)}}{22528 \, d} + \frac{{\left(32 \, a b + 55 \, b^{2}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{14336 \, d} - \frac{{\left(224 \, a b + 165 \, b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{10240 \, d} + \frac{{\left(128 \, a^{2} + 336 \, a b + 165 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{3072 \, d} - \frac{{\left(384 \, a^{2} + 560 \, a b + 231 \, b^{2}\right)} e^{\left(d x + c\right)}}{1024 \, d} - \frac{{\left(384 \, a^{2} + 560 \, a b + 231 \, b^{2}\right)} e^{\left(-d x - c\right)}}{1024 \, d} + \frac{{\left(128 \, a^{2} + 336 \, a b + 165 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{3072 \, d} - \frac{{\left(224 \, a b + 165 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{10240 \, d} + \frac{{\left(32 \, a b + 55 \, b^{2}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{14336 \, d}"," ",0,"1/22528*b^2*e^(11*d*x + 11*c)/d - 11/18432*b^2*e^(9*d*x + 9*c)/d - 11/18432*b^2*e^(-9*d*x - 9*c)/d + 1/22528*b^2*e^(-11*d*x - 11*c)/d + 1/14336*(32*a*b + 55*b^2)*e^(7*d*x + 7*c)/d - 1/10240*(224*a*b + 165*b^2)*e^(5*d*x + 5*c)/d + 1/3072*(128*a^2 + 336*a*b + 165*b^2)*e^(3*d*x + 3*c)/d - 1/1024*(384*a^2 + 560*a*b + 231*b^2)*e^(d*x + c)/d - 1/1024*(384*a^2 + 560*a*b + 231*b^2)*e^(-d*x - c)/d + 1/3072*(128*a^2 + 336*a*b + 165*b^2)*e^(-3*d*x - 3*c)/d - 1/10240*(224*a*b + 165*b^2)*e^(-5*d*x - 5*c)/d + 1/14336*(32*a*b + 55*b^2)*e^(-7*d*x - 7*c)/d","B",0
197,1,241,0,0.208736," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{1}{256} \, {\left(128 \, a^{2} + 160 \, a b + 63 \, b^{2}\right)} x + \frac{b^{2} e^{\left(10 \, d x + 10 \, c\right)}}{10240 \, d} - \frac{5 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{4096 \, d} + \frac{5 \, b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{4096 \, d} - \frac{b^{2} e^{\left(-10 \, d x - 10 \, c\right)}}{10240 \, d} + \frac{{\left(32 \, a b + 45 \, b^{2}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{6144 \, d} - \frac{3 \, {\left(8 \, a b + 5 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{512 \, d} + \frac{{\left(128 \, a^{2} + 240 \, a b + 105 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{1024 \, d} - \frac{{\left(128 \, a^{2} + 240 \, a b + 105 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{1024 \, d} + \frac{3 \, {\left(8 \, a b + 5 \, b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{512 \, d} - \frac{{\left(32 \, a b + 45 \, b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{6144 \, d}"," ",0,"-1/256*(128*a^2 + 160*a*b + 63*b^2)*x + 1/10240*b^2*e^(10*d*x + 10*c)/d - 5/4096*b^2*e^(8*d*x + 8*c)/d + 5/4096*b^2*e^(-8*d*x - 8*c)/d - 1/10240*b^2*e^(-10*d*x - 10*c)/d + 1/6144*(32*a*b + 45*b^2)*e^(6*d*x + 6*c)/d - 3/512*(8*a*b + 5*b^2)*e^(4*d*x + 4*c)/d + 1/1024*(128*a^2 + 240*a*b + 105*b^2)*e^(2*d*x + 2*c)/d - 1/1024*(128*a^2 + 240*a*b + 105*b^2)*e^(-2*d*x - 2*c)/d + 3/512*(8*a*b + 5*b^2)*e^(-4*d*x - 4*c)/d - 1/6144*(32*a*b + 45*b^2)*e^(-6*d*x - 6*c)/d","A",0
198,1,220,0,0.229708," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(9 \, d x + 9 \, c\right)}}{4608 \, d} - \frac{9 \, b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{3584 \, d} - \frac{9 \, b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{3584 \, d} + \frac{b^{2} e^{\left(-9 \, d x - 9 \, c\right)}}{4608 \, d} + \frac{{\left(8 \, a b + 9 \, b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} - \frac{{\left(40 \, a b + 21 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} + \frac{{\left(128 \, a^{2} + 160 \, a b + 63 \, b^{2}\right)} e^{\left(d x + c\right)}}{256 \, d} + \frac{{\left(128 \, a^{2} + 160 \, a b + 63 \, b^{2}\right)} e^{\left(-d x - c\right)}}{256 \, d} - \frac{{\left(40 \, a b + 21 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} + \frac{{\left(8 \, a b + 9 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d}"," ",0,"1/4608*b^2*e^(9*d*x + 9*c)/d - 9/3584*b^2*e^(7*d*x + 7*c)/d - 9/3584*b^2*e^(-7*d*x - 7*c)/d + 1/4608*b^2*e^(-9*d*x - 9*c)/d + 1/640*(8*a*b + 9*b^2)*e^(5*d*x + 5*c)/d - 1/384*(40*a*b + 21*b^2)*e^(3*d*x + 3*c)/d + 1/256*(128*a^2 + 160*a*b + 63*b^2)*e^(d*x + c)/d + 1/256*(128*a^2 + 160*a*b + 63*b^2)*e^(-d*x - c)/d - 1/384*(40*a*b + 21*b^2)*e^(-3*d*x - 3*c)/d + 1/640*(8*a*b + 9*b^2)*e^(-5*d*x - 5*c)/d","B",0
199,1,183,0,0.138881," ","integrate((a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{1}{128} \, {\left(128 \, a^{2} + 96 \, a b + 35 \, b^{2}\right)} x + \frac{b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} + \frac{b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d} - \frac{b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} + \frac{{\left(8 \, a b + 7 \, b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} - \frac{{\left(16 \, a b + 7 \, b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} + \frac{{\left(16 \, a b + 7 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} - \frac{{\left(8 \, a b + 7 \, b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d}"," ",0,"1/128*(128*a^2 + 96*a*b + 35*b^2)*x + 1/2048*b^2*e^(8*d*x + 8*c)/d - 1/192*b^2*e^(6*d*x + 6*c)/d + 1/192*b^2*e^(-6*d*x - 6*c)/d - 1/2048*b^2*e^(-8*d*x - 8*c)/d + 1/256*(8*a*b + 7*b^2)*e^(4*d*x + 4*c)/d - 1/64*(16*a*b + 7*b^2)*e^(2*d*x + 2*c)/d + 1/64*(16*a*b + 7*b^2)*e^(-2*d*x - 2*c)/d - 1/256*(8*a*b + 7*b^2)*e^(-4*d*x - 4*c)/d","A",0
200,1,196,0,0.222056," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{15 \, b^{2} e^{\left(7 \, d x + 7 \, c\right)} - 147 \, b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 1120 \, a b e^{\left(3 \, d x + 3 \, c\right)} + 735 \, b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 10080 \, a b e^{\left(d x + c\right)} - 3675 \, b^{2} e^{\left(d x + c\right)} - 13440 \, a^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 13440 \, a^{2} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - {\left(10080 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 3675 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 1120 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 735 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 147 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 15 \, b^{2}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{13440 \, d}"," ",0,"1/13440*(15*b^2*e^(7*d*x + 7*c) - 147*b^2*e^(5*d*x + 5*c) + 1120*a*b*e^(3*d*x + 3*c) + 735*b^2*e^(3*d*x + 3*c) - 10080*a*b*e^(d*x + c) - 3675*b^2*e^(d*x + c) - 13440*a^2*log(e^(d*x + c) + 1) + 13440*a^2*log(abs(e^(d*x + c) - 1)) - (10080*a*b*e^(6*d*x + 6*c) + 3675*b^2*e^(6*d*x + 6*c) - 1120*a*b*e^(4*d*x + 4*c) - 735*b^2*e^(4*d*x + 4*c) + 147*b^2*e^(2*d*x + 2*c) - 15*b^2)*e^(-7*d*x - 7*c))/d","B",0
201,1,179,0,0.244897," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 9 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 96 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 45 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 24 \, {\left(16 \, a b + 5 \, b^{2}\right)} {\left(d x + c\right)} + {\left(352 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 110 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 96 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 45 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)} - \frac{768 \, a^{2}}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}{384 \, d}"," ",0,"1/384*(b^2*e^(6*d*x + 6*c) - 9*b^2*e^(4*d*x + 4*c) + 96*a*b*e^(2*d*x + 2*c) + 45*b^2*e^(2*d*x + 2*c) - 24*(16*a*b + 5*b^2)*(d*x + c) + (352*a*b*e^(6*d*x + 6*c) + 110*b^2*e^(6*d*x + 6*c) - 96*a*b*e^(4*d*x + 4*c) - 45*b^2*e^(4*d*x + 4*c) + 9*b^2*e^(2*d*x + 2*c) - b^2)*e^(-6*d*x - 6*c) - 768*a^2/(e^(2*d*x + 2*c) - 1))/d","A",0
202,1,182,0,0.234097," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 40 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 480 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 240 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 120 \, a^{2} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 120 \, a^{2} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{480 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4}}{480 \, d}"," ",0,"1/480*(3*b^2*(e^(d*x + c) + e^(-d*x - c))^5 - 40*b^2*(e^(d*x + c) + e^(-d*x - c))^3 + 480*a*b*(e^(d*x + c) + e^(-d*x - c)) + 240*b^2*(e^(d*x + c) + e^(-d*x - c)) + 120*a^2*log(e^(d*x + c) + e^(-d*x - c) + 2) - 120*a^2*log(e^(d*x + c) + e^(-d*x - c) - 2) - 480*a^2*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4))/d","B",0
203,1,142,0,0.236712," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 24 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, {\left(16 \, a b + 3 \, b^{2}\right)} {\left(d x + c\right)} - 3 \, {\left(96 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 18 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{256 \, {\left(3 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - a^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{192 \, d}"," ",0,"1/192*(3*b^2*e^(4*d*x + 4*c) - 24*b^2*e^(2*d*x + 2*c) + 24*(16*a*b + 3*b^2)*(d*x + c) - 3*(96*a*b*e^(4*d*x + 4*c) + 18*b^2*e^(4*d*x + 4*c) - 8*b^2*e^(2*d*x + 2*c) + b^2)*e^(-4*d*x - 4*c) - 256*(3*a^2*e^(2*d*x + 2*c) - a^2)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
204,1,179,0,0.267678," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 24 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 3 \, {\left(3 \, a^{2} + 16 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) + 3 \, {\left(3 \, a^{2} + 16 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) + \frac{12 \, {\left(3 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 20 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{2}}}{48 \, d}"," ",0,"1/48*(2*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 24*b^2*(e^(d*x + c) + e^(-d*x - c)) - 3*(3*a^2 + 16*a*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) + 3*(3*a^2 + 16*a*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) + 12*(3*a^2*(e^(d*x + c) + e^(-d*x - c))^3 - 20*a^2*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^2)/d","A",0
205,1,166,0,0.259850," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{60 \, {\left(d x + c\right)} b^{2} - 15 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 15 \, {\left(2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + \frac{32 \, {\left(15 \, a b e^{\left(8 \, d x + 8 \, c\right)} - 60 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 40 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 90 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 20 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 60 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a^{2} + 15 \, a b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{120 \, d}"," ",0,"-1/120*(60*(d*x + c)*b^2 - 15*b^2*e^(2*d*x + 2*c) - 15*(2*b^2*e^(2*d*x + 2*c) - b^2)*e^(-2*d*x - 2*c) + 32*(15*a*b*e^(8*d*x + 8*c) - 60*a*b*e^(6*d*x + 6*c) + 40*a^2*e^(4*d*x + 4*c) + 90*a*b*e^(4*d*x + 4*c) - 20*a^2*e^(2*d*x + 2*c) - 60*a*b*e^(2*d*x + 2*c) + 4*a^2 + 15*a*b)/(e^(2*d*x + 2*c) - 1)^5)/d","B",0
206,1,243,0,0.282062," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{48 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 3 \, {\left(5 \, a^{2} + 16 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 3 \, {\left(5 \, a^{2} + 16 \, a b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(15 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 48 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 160 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 384 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 528 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 768 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(48*b^2*(e^(d*x + c) + e^(-d*x - c)) + 3*(5*a^2 + 16*a*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 3*(5*a^2 + 16*a*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(15*a^2*(e^(d*x + c) + e^(-d*x - c))^5 + 48*a*b*(e^(d*x + c) + e^(-d*x - c))^5 - 160*a^2*(e^(d*x + c) + e^(-d*x - c))^3 - 384*a*b*(e^(d*x + c) + e^(-d*x - c))^3 + 528*a^2*(e^(d*x + c) + e^(-d*x - c)) + 768*a*b*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^3)/d","B",0
207,1,520,0,0.393279," ","integrate(sinh(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(17 \, d x + 17 \, c\right)}}{2228224 \, d} - \frac{17 \, b^{3} e^{\left(15 \, d x + 15 \, c\right)}}{1966080 \, d} - \frac{17 \, b^{3} e^{\left(-15 \, d x - 15 \, c\right)}}{1966080 \, d} + \frac{b^{3} e^{\left(-17 \, d x - 17 \, c\right)}}{2228224 \, d} + \frac{{\left(6 \, a b^{2} + 17 \, b^{3}\right)} e^{\left(13 \, d x + 13 \, c\right)}}{212992 \, d} - \frac{{\left(78 \, a b^{2} + 85 \, b^{3}\right)} e^{\left(11 \, d x + 11 \, c\right)}}{180224 \, d} + \frac{{\left(192 \, a^{2} b + 936 \, a b^{2} + 595 \, b^{3}\right)} e^{\left(9 \, d x + 9 \, c\right)}}{294912 \, d} - \frac{{\left(1728 \, a^{2} b + 3432 \, a b^{2} + 1547 \, b^{3}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{229376 \, d} + \frac{{\left(512 \, a^{3} + 3456 \, a^{2} b + 4290 \, a b^{2} + 1547 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{81920 \, d} - \frac{{\left(2560 \, a^{3} + 8064 \, a^{2} b + 7722 \, a b^{2} + 2431 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{49152 \, d} + \frac{{\left(20480 \, a^{3} + 48384 \, a^{2} b + 41184 \, a b^{2} + 12155 \, b^{3}\right)} e^{\left(d x + c\right)}}{65536 \, d} + \frac{{\left(20480 \, a^{3} + 48384 \, a^{2} b + 41184 \, a b^{2} + 12155 \, b^{3}\right)} e^{\left(-d x - c\right)}}{65536 \, d} - \frac{{\left(2560 \, a^{3} + 8064 \, a^{2} b + 7722 \, a b^{2} + 2431 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{49152 \, d} + \frac{{\left(512 \, a^{3} + 3456 \, a^{2} b + 4290 \, a b^{2} + 1547 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{81920 \, d} - \frac{{\left(1728 \, a^{2} b + 3432 \, a b^{2} + 1547 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{229376 \, d} + \frac{{\left(192 \, a^{2} b + 936 \, a b^{2} + 595 \, b^{3}\right)} e^{\left(-9 \, d x - 9 \, c\right)}}{294912 \, d} - \frac{{\left(78 \, a b^{2} + 85 \, b^{3}\right)} e^{\left(-11 \, d x - 11 \, c\right)}}{180224 \, d} + \frac{{\left(6 \, a b^{2} + 17 \, b^{3}\right)} e^{\left(-13 \, d x - 13 \, c\right)}}{212992 \, d}"," ",0,"1/2228224*b^3*e^(17*d*x + 17*c)/d - 17/1966080*b^3*e^(15*d*x + 15*c)/d - 17/1966080*b^3*e^(-15*d*x - 15*c)/d + 1/2228224*b^3*e^(-17*d*x - 17*c)/d + 1/212992*(6*a*b^2 + 17*b^3)*e^(13*d*x + 13*c)/d - 1/180224*(78*a*b^2 + 85*b^3)*e^(11*d*x + 11*c)/d + 1/294912*(192*a^2*b + 936*a*b^2 + 595*b^3)*e^(9*d*x + 9*c)/d - 1/229376*(1728*a^2*b + 3432*a*b^2 + 1547*b^3)*e^(7*d*x + 7*c)/d + 1/81920*(512*a^3 + 3456*a^2*b + 4290*a*b^2 + 1547*b^3)*e^(5*d*x + 5*c)/d - 1/49152*(2560*a^3 + 8064*a^2*b + 7722*a*b^2 + 2431*b^3)*e^(3*d*x + 3*c)/d + 1/65536*(20480*a^3 + 48384*a^2*b + 41184*a*b^2 + 12155*b^3)*e^(d*x + c)/d + 1/65536*(20480*a^3 + 48384*a^2*b + 41184*a*b^2 + 12155*b^3)*e^(-d*x - c)/d - 1/49152*(2560*a^3 + 8064*a^2*b + 7722*a*b^2 + 2431*b^3)*e^(-3*d*x - 3*c)/d + 1/81920*(512*a^3 + 3456*a^2*b + 4290*a*b^2 + 1547*b^3)*e^(-5*d*x - 5*c)/d - 1/229376*(1728*a^2*b + 3432*a*b^2 + 1547*b^3)*e^(-7*d*x - 7*c)/d + 1/294912*(192*a^2*b + 936*a*b^2 + 595*b^3)*e^(-9*d*x - 9*c)/d - 1/180224*(78*a*b^2 + 85*b^3)*e^(-11*d*x - 11*c)/d + 1/212992*(6*a*b^2 + 17*b^3)*e^(-13*d*x - 13*c)/d","B",0
208,1,446,0,0.402329," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(15 \, d x + 15 \, c\right)}}{491520 \, d} - \frac{15 \, b^{3} e^{\left(13 \, d x + 13 \, c\right)}}{425984 \, d} - \frac{15 \, b^{3} e^{\left(-13 \, d x - 13 \, c\right)}}{425984 \, d} + \frac{b^{3} e^{\left(-15 \, d x - 15 \, c\right)}}{491520 \, d} + \frac{3 \, {\left(16 \, a b^{2} + 35 \, b^{3}\right)} e^{\left(11 \, d x + 11 \, c\right)}}{360448 \, d} - \frac{{\left(528 \, a b^{2} + 455 \, b^{3}\right)} e^{\left(9 \, d x + 9 \, c\right)}}{294912 \, d} + \frac{3 \, {\left(256 \, a^{2} b + 880 \, a b^{2} + 455 \, b^{3}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{229376 \, d} - \frac{3 \, {\left(1792 \, a^{2} b + 2640 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{163840 \, d} + \frac{{\left(4096 \, a^{3} + 16128 \, a^{2} b + 15840 \, a b^{2} + 5005 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{98304 \, d} - \frac{3 \, {\left(4096 \, a^{3} + 8960 \, a^{2} b + 7392 \, a b^{2} + 2145 \, b^{3}\right)} e^{\left(d x + c\right)}}{32768 \, d} - \frac{3 \, {\left(4096 \, a^{3} + 8960 \, a^{2} b + 7392 \, a b^{2} + 2145 \, b^{3}\right)} e^{\left(-d x - c\right)}}{32768 \, d} + \frac{{\left(4096 \, a^{3} + 16128 \, a^{2} b + 15840 \, a b^{2} + 5005 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{98304 \, d} - \frac{3 \, {\left(1792 \, a^{2} b + 2640 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{163840 \, d} + \frac{3 \, {\left(256 \, a^{2} b + 880 \, a b^{2} + 455 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{229376 \, d} - \frac{{\left(528 \, a b^{2} + 455 \, b^{3}\right)} e^{\left(-9 \, d x - 9 \, c\right)}}{294912 \, d} + \frac{3 \, {\left(16 \, a b^{2} + 35 \, b^{3}\right)} e^{\left(-11 \, d x - 11 \, c\right)}}{360448 \, d}"," ",0,"1/491520*b^3*e^(15*d*x + 15*c)/d - 15/425984*b^3*e^(13*d*x + 13*c)/d - 15/425984*b^3*e^(-13*d*x - 13*c)/d + 1/491520*b^3*e^(-15*d*x - 15*c)/d + 3/360448*(16*a*b^2 + 35*b^3)*e^(11*d*x + 11*c)/d - 1/294912*(528*a*b^2 + 455*b^3)*e^(9*d*x + 9*c)/d + 3/229376*(256*a^2*b + 880*a*b^2 + 455*b^3)*e^(7*d*x + 7*c)/d - 3/163840*(1792*a^2*b + 2640*a*b^2 + 1001*b^3)*e^(5*d*x + 5*c)/d + 1/98304*(4096*a^3 + 16128*a^2*b + 15840*a*b^2 + 5005*b^3)*e^(3*d*x + 3*c)/d - 3/32768*(4096*a^3 + 8960*a^2*b + 7392*a*b^2 + 2145*b^3)*e^(d*x + c)/d - 3/32768*(4096*a^3 + 8960*a^2*b + 7392*a*b^2 + 2145*b^3)*e^(-d*x - c)/d + 1/98304*(4096*a^3 + 16128*a^2*b + 15840*a*b^2 + 5005*b^3)*e^(-3*d*x - 3*c)/d - 3/163840*(1792*a^2*b + 2640*a*b^2 + 1001*b^3)*e^(-5*d*x - 5*c)/d + 3/229376*(256*a^2*b + 880*a*b^2 + 455*b^3)*e^(-7*d*x - 7*c)/d - 1/294912*(528*a*b^2 + 455*b^3)*e^(-9*d*x - 9*c)/d + 3/360448*(16*a*b^2 + 35*b^3)*e^(-11*d*x - 11*c)/d","B",0
209,1,372,0,0.347424," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(13 \, d x + 13 \, c\right)}}{106496 \, d} - \frac{13 \, b^{3} e^{\left(11 \, d x + 11 \, c\right)}}{90112 \, d} - \frac{13 \, b^{3} e^{\left(-11 \, d x - 11 \, c\right)}}{90112 \, d} + \frac{b^{3} e^{\left(-13 \, d x - 13 \, c\right)}}{106496 \, d} + \frac{{\left(8 \, a b^{2} + 13 \, b^{3}\right)} e^{\left(9 \, d x + 9 \, c\right)}}{12288 \, d} - \frac{{\left(216 \, a b^{2} + 143 \, b^{3}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{28672 \, d} + \frac{{\left(768 \, a^{2} b + 1728 \, a b^{2} + 715 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{40960 \, d} - \frac{{\left(1280 \, a^{2} b + 1344 \, a b^{2} + 429 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{8192 \, d} + \frac{{\left(1024 \, a^{3} + 1920 \, a^{2} b + 1512 \, a b^{2} + 429 \, b^{3}\right)} e^{\left(d x + c\right)}}{2048 \, d} + \frac{{\left(1024 \, a^{3} + 1920 \, a^{2} b + 1512 \, a b^{2} + 429 \, b^{3}\right)} e^{\left(-d x - c\right)}}{2048 \, d} - \frac{{\left(1280 \, a^{2} b + 1344 \, a b^{2} + 429 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{8192 \, d} + \frac{{\left(768 \, a^{2} b + 1728 \, a b^{2} + 715 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{40960 \, d} - \frac{{\left(216 \, a b^{2} + 143 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{28672 \, d} + \frac{{\left(8 \, a b^{2} + 13 \, b^{3}\right)} e^{\left(-9 \, d x - 9 \, c\right)}}{12288 \, d}"," ",0,"1/106496*b^3*e^(13*d*x + 13*c)/d - 13/90112*b^3*e^(11*d*x + 11*c)/d - 13/90112*b^3*e^(-11*d*x - 11*c)/d + 1/106496*b^3*e^(-13*d*x - 13*c)/d + 1/12288*(8*a*b^2 + 13*b^3)*e^(9*d*x + 9*c)/d - 1/28672*(216*a*b^2 + 143*b^3)*e^(7*d*x + 7*c)/d + 1/40960*(768*a^2*b + 1728*a*b^2 + 715*b^3)*e^(5*d*x + 5*c)/d - 1/8192*(1280*a^2*b + 1344*a*b^2 + 429*b^3)*e^(3*d*x + 3*c)/d + 1/2048*(1024*a^3 + 1920*a^2*b + 1512*a*b^2 + 429*b^3)*e^(d*x + c)/d + 1/2048*(1024*a^3 + 1920*a^2*b + 1512*a*b^2 + 429*b^3)*e^(-d*x - c)/d - 1/8192*(1280*a^2*b + 1344*a*b^2 + 429*b^3)*e^(-3*d*x - 3*c)/d + 1/40960*(768*a^2*b + 1728*a*b^2 + 715*b^3)*e^(-5*d*x - 5*c)/d - 1/28672*(216*a*b^2 + 143*b^3)*e^(-7*d*x - 7*c)/d + 1/12288*(8*a*b^2 + 13*b^3)*e^(-9*d*x - 9*c)/d","B",0
210,1,377,0,0.414625," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{315 \, b^{3} e^{\left(11 \, d x + 11 \, c\right)} - 4235 \, b^{3} e^{\left(9 \, d x + 9 \, c\right)} + 23760 \, a b^{2} e^{\left(7 \, d x + 7 \, c\right)} + 27225 \, b^{3} e^{\left(7 \, d x + 7 \, c\right)} - 232848 \, a b^{2} e^{\left(5 \, d x + 5 \, c\right)} - 114345 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)} + 887040 \, a^{2} b e^{\left(3 \, d x + 3 \, c\right)} + 1164240 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 381150 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 7983360 \, a^{2} b e^{\left(d x + c\right)} - 5821200 \, a b^{2} e^{\left(d x + c\right)} - 1600830 \, b^{3} e^{\left(d x + c\right)} - 7096320 \, a^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 7096320 \, a^{3} \log\left({\left| e^{\left(d x + c\right)} - 1 \right|}\right) - {\left(7983360 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 5821200 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1600830 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 887040 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 1164240 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 381150 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 232848 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 114345 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 23760 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 27225 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 4235 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 315 \, b^{3}\right)} e^{\left(-11 \, d x - 11 \, c\right)}}{7096320 \, d}"," ",0,"1/7096320*(315*b^3*e^(11*d*x + 11*c) - 4235*b^3*e^(9*d*x + 9*c) + 23760*a*b^2*e^(7*d*x + 7*c) + 27225*b^3*e^(7*d*x + 7*c) - 232848*a*b^2*e^(5*d*x + 5*c) - 114345*b^3*e^(5*d*x + 5*c) + 887040*a^2*b*e^(3*d*x + 3*c) + 1164240*a*b^2*e^(3*d*x + 3*c) + 381150*b^3*e^(3*d*x + 3*c) - 7983360*a^2*b*e^(d*x + c) - 5821200*a*b^2*e^(d*x + c) - 1600830*b^3*e^(d*x + c) - 7096320*a^3*log(e^(d*x + c) + 1) + 7096320*a^3*log(abs(e^(d*x + c) - 1)) - (7983360*a^2*b*e^(10*d*x + 10*c) + 5821200*a*b^2*e^(10*d*x + 10*c) + 1600830*b^3*e^(10*d*x + 10*c) - 887040*a^2*b*e^(8*d*x + 8*c) - 1164240*a*b^2*e^(8*d*x + 8*c) - 381150*b^3*e^(8*d*x + 8*c) + 232848*a*b^2*e^(6*d*x + 6*c) + 114345*b^3*e^(6*d*x + 6*c) - 23760*a*b^2*e^(4*d*x + 4*c) - 27225*b^3*e^(4*d*x + 4*c) + 4235*b^3*e^(2*d*x + 2*c) - 315*b^3)*e^(-11*d*x - 11*c))/d","B",0
211,1,300,0,0.436722," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{35 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} - 720 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 3024 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 6048 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 40320 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 26880 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 241920 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 241920 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 80640 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 40320 \, a^{3} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 40320 \, a^{3} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{161280 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4}}{161280 \, d}"," ",0,"1/161280*(35*b^3*(e^(d*x + c) + e^(-d*x - c))^9 - 720*b^3*(e^(d*x + c) + e^(-d*x - c))^7 + 3024*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 6048*b^3*(e^(d*x + c) + e^(-d*x - c))^5 - 40320*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 26880*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 241920*a^2*b*(e^(d*x + c) + e^(-d*x - c)) + 241920*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + 80640*b^3*(e^(d*x + c) + e^(-d*x - c)) + 40320*a^3*log(e^(d*x + c) + e^(-d*x - c) + 2) - 40320*a^3*log(e^(d*x + c) + e^(-d*x - c) - 2) - 161280*a^3*(e^(d*x + c) + e^(-d*x - c))/((e^(d*x + c) + e^(-d*x - c))^2 - 4))/d","B",0
212,1,271,0,0.485636," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{5 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 84 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 560 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 560 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 6720 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 2240 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 840 \, {\left(a^{3} + 8 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) + 840 \, {\left(a^{3} + 8 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) + \frac{1120 \, {\left(3 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 20 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{2}}}{4480 \, d}"," ",0,"1/4480*(5*b^3*(e^(d*x + c) + e^(-d*x - c))^7 - 84*b^3*(e^(d*x + c) + e^(-d*x - c))^5 + 560*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 + 560*b^3*(e^(d*x + c) + e^(-d*x - c))^3 - 6720*a*b^2*(e^(d*x + c) + e^(-d*x - c)) - 2240*b^3*(e^(d*x + c) + e^(-d*x - c)) - 840*(a^3 + 8*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) + 840*(a^3 + 8*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) + 1120*(3*a^3*(e^(d*x + c) + e^(-d*x - c))^3 - 20*a^3*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^2)/d","B",0
213,1,321,0,0.483004," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 40 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 720 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 240 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 15 \, {\left(5 \, a^{3} + 24 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 15 \, {\left(5 \, a^{3} + 24 \, a^{2} b\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{20 \, {\left(15 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 72 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 160 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 576 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 528 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 1152 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{3}}}{480 \, d}"," ",0,"1/480*(3*b^3*(e^(d*x + c) + e^(-d*x - c))^5 - 40*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 720*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + 240*b^3*(e^(d*x + c) + e^(-d*x - c)) + 15*(5*a^3 + 24*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 15*(5*a^3 + 24*a^2*b)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 20*(15*a^3*(e^(d*x + c) + e^(-d*x - c))^5 + 72*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 - 160*a^3*(e^(d*x + c) + e^(-d*x - c))^3 - 576*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 + 528*a^3*(e^(d*x + c) + e^(-d*x - c)) + 1152*a^2*b*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^3)/d","B",0
214,1,335,0,0.481816," ","integrate(csch(d*x+c)^9*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{32 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 384 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 3 \, {\left(35 \, a^{3} + 144 \, a^{2} b + 384 \, a b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) + 3 \, {\left(35 \, a^{3} + 144 \, a^{2} b + 384 \, a b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) + \frac{4 \, {\left(105 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 432 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 1540 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 6336 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 8176 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 29952 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 17856 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 46080 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{4}}}{768 \, d}"," ",0,"1/768*(32*b^3*(e^(d*x + c) + e^(-d*x - c))^3 - 384*b^3*(e^(d*x + c) + e^(-d*x - c)) - 3*(35*a^3 + 144*a^2*b + 384*a*b^2)*log(e^(d*x + c) + e^(-d*x - c) + 2) + 3*(35*a^3 + 144*a^2*b + 384*a*b^2)*log(e^(d*x + c) + e^(-d*x - c) - 2) + 4*(105*a^3*(e^(d*x + c) + e^(-d*x - c))^7 + 432*a^2*b*(e^(d*x + c) + e^(-d*x - c))^7 - 1540*a^3*(e^(d*x + c) + e^(-d*x - c))^5 - 6336*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 + 8176*a^3*(e^(d*x + c) + e^(-d*x - c))^3 + 29952*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 - 17856*a^3*(e^(d*x + c) + e^(-d*x - c)) - 46080*a^2*b*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^4)/d","B",0
215,1,477,0,0.532347," ","integrate(csch(d*x+c)^11*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{1280 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 15 \, {\left(21 \, a^{3} + 80 \, a^{2} b + 128 \, a b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 15 \, {\left(21 \, a^{3} + 80 \, a^{2} b + 128 \, a b^{2}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(315 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} + 1200 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} + 1920 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} - 5880 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 22400 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 30720 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 43008 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 163840 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 184320 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 151680 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 542720 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 491520 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 247040 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 675840 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 491520 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{5}}}{2560 \, d}"," ",0,"1/2560*(1280*b^3*(e^(d*x + c) + e^(-d*x - c)) + 15*(21*a^3 + 80*a^2*b + 128*a*b^2)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 15*(21*a^3 + 80*a^2*b + 128*a*b^2)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(315*a^3*(e^(d*x + c) + e^(-d*x - c))^9 + 1200*a^2*b*(e^(d*x + c) + e^(-d*x - c))^9 + 1920*a*b^2*(e^(d*x + c) + e^(-d*x - c))^9 - 5880*a^3*(e^(d*x + c) + e^(-d*x - c))^7 - 22400*a^2*b*(e^(d*x + c) + e^(-d*x - c))^7 - 30720*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 + 43008*a^3*(e^(d*x + c) + e^(-d*x - c))^5 + 163840*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 + 184320*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 - 151680*a^3*(e^(d*x + c) + e^(-d*x - c))^3 - 542720*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 - 491520*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 + 247040*a^3*(e^(d*x + c) + e^(-d*x - c)) + 675840*a^2*b*(e^(d*x + c) + e^(-d*x - c)) + 491520*a*b^2*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^5)/d","B",0
216,1,537,0,0.523518," ","integrate(csch(d*x+c)^13*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{15 \, {\left(231 \, a^{3} + 840 \, a^{2} b + 1152 \, a b^{2} + 1024 \, b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right) - 15 \, {\left(231 \, a^{3} + 840 \, a^{2} b + 1152 \, a b^{2} + 1024 \, b^{3}\right)} \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right) - \frac{4 \, {\left(3465 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{11} + 12600 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{11} + 17280 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{11} - 78540 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} - 285600 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} - 391680 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{9} + 731808 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 2661120 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 3502080 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 3560832 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 12948480 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 15482880 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 9391360 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 32839680 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 33914880 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 12180480 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 34283520 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 29491200 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)}^{6}}}{30720 \, d}"," ",0,"-1/30720*(15*(231*a^3 + 840*a^2*b + 1152*a*b^2 + 1024*b^3)*log(e^(d*x + c) + e^(-d*x - c) + 2) - 15*(231*a^3 + 840*a^2*b + 1152*a*b^2 + 1024*b^3)*log(e^(d*x + c) + e^(-d*x - c) - 2) - 4*(3465*a^3*(e^(d*x + c) + e^(-d*x - c))^11 + 12600*a^2*b*(e^(d*x + c) + e^(-d*x - c))^11 + 17280*a*b^2*(e^(d*x + c) + e^(-d*x - c))^11 - 78540*a^3*(e^(d*x + c) + e^(-d*x - c))^9 - 285600*a^2*b*(e^(d*x + c) + e^(-d*x - c))^9 - 391680*a*b^2*(e^(d*x + c) + e^(-d*x - c))^9 + 731808*a^3*(e^(d*x + c) + e^(-d*x - c))^7 + 2661120*a^2*b*(e^(d*x + c) + e^(-d*x - c))^7 + 3502080*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 3560832*a^3*(e^(d*x + c) + e^(-d*x - c))^5 - 12948480*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 - 15482880*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 9391360*a^3*(e^(d*x + c) + e^(-d*x - c))^3 + 32839680*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 + 33914880*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 12180480*a^3*(e^(d*x + c) + e^(-d*x - c)) - 34283520*a^2*b*(e^(d*x + c) + e^(-d*x - c)) - 29491200*a*b^2*(e^(d*x + c) + e^(-d*x - c)))/((e^(d*x + c) + e^(-d*x - c))^2 - 4)^6)/d","B",0
217,1,401,0,0.340735," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(14 \, d x + 14 \, c\right)}}{229376 \, d} - \frac{7 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)}}{98304 \, d} + \frac{7 \, b^{3} e^{\left(-12 \, d x - 12 \, c\right)}}{98304 \, d} - \frac{b^{3} e^{\left(-14 \, d x - 14 \, c\right)}}{229376 \, d} - \frac{1}{2048} \, {\left(1024 \, a^{3} + 1920 \, a^{2} b + 1512 \, a b^{2} + 429 \, b^{3}\right)} x + \frac{{\left(48 \, a b^{2} + 91 \, b^{3}\right)} e^{\left(10 \, d x + 10 \, c\right)}}{163840 \, d} - \frac{{\left(120 \, a b^{2} + 91 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)}}{32768 \, d} + \frac{{\left(768 \, a^{2} b + 2160 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{98304 \, d} - \frac{{\left(2304 \, a^{2} b + 2880 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{32768 \, d} + \frac{{\left(4096 \, a^{3} + 11520 \, a^{2} b + 10080 \, a b^{2} + 3003 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{32768 \, d} - \frac{{\left(4096 \, a^{3} + 11520 \, a^{2} b + 10080 \, a b^{2} + 3003 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{32768 \, d} + \frac{{\left(2304 \, a^{2} b + 2880 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{32768 \, d} - \frac{{\left(768 \, a^{2} b + 2160 \, a b^{2} + 1001 \, b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{98304 \, d} + \frac{{\left(120 \, a b^{2} + 91 \, b^{3}\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{32768 \, d} - \frac{{\left(48 \, a b^{2} + 91 \, b^{3}\right)} e^{\left(-10 \, d x - 10 \, c\right)}}{163840 \, d}"," ",0,"1/229376*b^3*e^(14*d*x + 14*c)/d - 7/98304*b^3*e^(12*d*x + 12*c)/d + 7/98304*b^3*e^(-12*d*x - 12*c)/d - 1/229376*b^3*e^(-14*d*x - 14*c)/d - 1/2048*(1024*a^3 + 1920*a^2*b + 1512*a*b^2 + 429*b^3)*x + 1/163840*(48*a*b^2 + 91*b^3)*e^(10*d*x + 10*c)/d - 1/32768*(120*a*b^2 + 91*b^3)*e^(8*d*x + 8*c)/d + 1/98304*(768*a^2*b + 2160*a*b^2 + 1001*b^3)*e^(6*d*x + 6*c)/d - 1/32768*(2304*a^2*b + 2880*a*b^2 + 1001*b^3)*e^(4*d*x + 4*c)/d + 1/32768*(4096*a^3 + 11520*a^2*b + 10080*a*b^2 + 3003*b^3)*e^(2*d*x + 2*c)/d - 1/32768*(4096*a^3 + 11520*a^2*b + 10080*a*b^2 + 3003*b^3)*e^(-2*d*x - 2*c)/d + 1/32768*(2304*a^2*b + 2880*a*b^2 + 1001*b^3)*e^(-4*d*x - 4*c)/d - 1/98304*(768*a^2*b + 2160*a*b^2 + 1001*b^3)*e^(-6*d*x - 6*c)/d + 1/32768*(120*a*b^2 + 91*b^3)*e^(-8*d*x - 8*c)/d - 1/163840*(48*a*b^2 + 91*b^3)*e^(-10*d*x - 10*c)/d","A",0
218,1,327,0,0.143120," ","integrate((a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(12 \, d x + 12 \, c\right)}}{49152 \, d} - \frac{3 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)}}{10240 \, d} + \frac{3 \, b^{3} e^{\left(-10 \, d x - 10 \, c\right)}}{10240 \, d} - \frac{b^{3} e^{\left(-12 \, d x - 12 \, c\right)}}{49152 \, d} + \frac{1}{1024} \, {\left(1024 \, a^{3} + 1152 \, a^{2} b + 840 \, a b^{2} + 231 \, b^{3}\right)} x + \frac{3 \, {\left(8 \, a b^{2} + 11 \, b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)}}{16384 \, d} - \frac{{\left(96 \, a b^{2} + 55 \, b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{6144 \, d} + \frac{3 \, {\left(256 \, a^{2} b + 448 \, a b^{2} + 165 \, b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{16384 \, d} - \frac{3 \, {\left(128 \, a^{2} b + 112 \, a b^{2} + 33 \, b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{1024 \, d} + \frac{3 \, {\left(128 \, a^{2} b + 112 \, a b^{2} + 33 \, b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{1024 \, d} - \frac{3 \, {\left(256 \, a^{2} b + 448 \, a b^{2} + 165 \, b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{16384 \, d} + \frac{{\left(96 \, a b^{2} + 55 \, b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{6144 \, d} - \frac{3 \, {\left(8 \, a b^{2} + 11 \, b^{3}\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{16384 \, d}"," ",0,"1/49152*b^3*e^(12*d*x + 12*c)/d - 3/10240*b^3*e^(10*d*x + 10*c)/d + 3/10240*b^3*e^(-10*d*x - 10*c)/d - 1/49152*b^3*e^(-12*d*x - 12*c)/d + 1/1024*(1024*a^3 + 1152*a^2*b + 840*a*b^2 + 231*b^3)*x + 3/16384*(8*a*b^2 + 11*b^3)*e^(8*d*x + 8*c)/d - 1/6144*(96*a*b^2 + 55*b^3)*e^(6*d*x + 6*c)/d + 3/16384*(256*a^2*b + 448*a*b^2 + 165*b^3)*e^(4*d*x + 4*c)/d - 3/1024*(128*a^2*b + 112*a*b^2 + 33*b^3)*e^(2*d*x + 2*c)/d + 3/1024*(128*a^2*b + 112*a*b^2 + 33*b^3)*e^(-2*d*x - 2*c)/d - 3/16384*(256*a^2*b + 448*a*b^2 + 165*b^3)*e^(-4*d*x - 4*c)/d + 1/6144*(96*a*b^2 + 55*b^3)*e^(-6*d*x - 6*c)/d - 3/16384*(8*a*b^2 + 11*b^3)*e^(-8*d*x - 8*c)/d","A",0
219,1,355,0,0.399353," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{2 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 25 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 160 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 150 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 1440 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 600 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 7680 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 7200 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2100 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 240 \, {\left(128 \, a^{2} b + 80 \, a b^{2} + 21 \, b^{3}\right)} {\left(d x + c\right)} - \frac{40960 \, a^{3}}{e^{\left(2 \, d x + 2 \, c\right)} - 1} + {\left(35072 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 21920 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 5754 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 7680 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 7200 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 2100 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 1440 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 600 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 160 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 150 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 25 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b^{3}\right)} e^{\left(-10 \, d x - 10 \, c\right)}}{20480 \, d}"," ",0,"1/20480*(2*b^3*e^(10*d*x + 10*c) - 25*b^3*e^(8*d*x + 8*c) + 160*a*b^2*e^(6*d*x + 6*c) + 150*b^3*e^(6*d*x + 6*c) - 1440*a*b^2*e^(4*d*x + 4*c) - 600*b^3*e^(4*d*x + 4*c) + 7680*a^2*b*e^(2*d*x + 2*c) + 7200*a*b^2*e^(2*d*x + 2*c) + 2100*b^3*e^(2*d*x + 2*c) - 240*(128*a^2*b + 80*a*b^2 + 21*b^3)*(d*x + c) - 40960*a^3/(e^(2*d*x + 2*c) - 1) + (35072*a^2*b*e^(10*d*x + 10*c) + 21920*a*b^2*e^(10*d*x + 10*c) + 5754*b^3*e^(10*d*x + 10*c) - 7680*a^2*b*e^(8*d*x + 8*c) - 7200*a*b^2*e^(8*d*x + 8*c) - 2100*b^3*e^(8*d*x + 8*c) + 1440*a*b^2*e^(6*d*x + 6*c) + 600*b^3*e^(6*d*x + 6*c) - 160*a*b^2*e^(4*d*x + 4*c) - 150*b^3*e^(4*d*x + 4*c) + 25*b^3*e^(2*d*x + 2*c) - 2*b^3)*e^(-10*d*x - 10*c))/d","B",0
220,1,285,0,0.452080," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 32 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 288 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 168 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 2304 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 672 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 48 \, {\left(384 \, a^{2} b + 144 \, a b^{2} + 35 \, b^{3}\right)} {\left(d x + c\right)} - {\left(19200 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 7200 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 1750 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 2304 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 672 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 288 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 168 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 32 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{3}\right)} e^{\left(-8 \, d x - 8 \, c\right)} - \frac{8192 \, {\left(3 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - a^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{6144 \, d}"," ",0,"1/6144*(3*b^3*e^(8*d*x + 8*c) - 32*b^3*e^(6*d*x + 6*c) + 288*a*b^2*e^(4*d*x + 4*c) + 168*b^3*e^(4*d*x + 4*c) - 2304*a*b^2*e^(2*d*x + 2*c) - 672*b^3*e^(2*d*x + 2*c) + 48*(384*a^2*b + 144*a*b^2 + 35*b^3)*(d*x + c) - (19200*a^2*b*e^(8*d*x + 8*c) + 7200*a*b^2*e^(8*d*x + 8*c) + 1750*b^3*e^(8*d*x + 8*c) - 2304*a*b^2*e^(6*d*x + 6*c) - 672*b^3*e^(6*d*x + 6*c) + 288*a*b^2*e^(4*d*x + 4*c) + 168*b^3*e^(4*d*x + 4*c) - 32*b^3*e^(2*d*x + 2*c) + 3*b^3)*e^(-8*d*x - 8*c) - 8192*(3*a^3*e^(2*d*x + 2*c) - a^3)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
221,1,286,0,0.463657," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{5 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 45 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 720 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 225 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 120 \, {\left(24 \, a b^{2} + 5 \, b^{3}\right)} {\left(d x + c\right)} + 5 \, {\left(528 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 110 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 144 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 45 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)} - \frac{256 \, {\left(45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 180 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 270 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 180 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{3} + 45 \, a^{2} b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{1920 \, d}"," ",0,"1/1920*(5*b^3*e^(6*d*x + 6*c) - 45*b^3*e^(4*d*x + 4*c) + 720*a*b^2*e^(2*d*x + 2*c) + 225*b^3*e^(2*d*x + 2*c) - 120*(24*a*b^2 + 5*b^3)*(d*x + c) + 5*(528*a*b^2*e^(6*d*x + 6*c) + 110*b^3*e^(6*d*x + 6*c) - 144*a*b^2*e^(4*d*x + 4*c) - 45*b^3*e^(4*d*x + 4*c) + 9*b^3*e^(2*d*x + 2*c) - b^3)*e^(-6*d*x - 6*c) - 256*(45*a^2*b*e^(8*d*x + 8*c) - 180*a^2*b*e^(6*d*x + 6*c) + 80*a^3*e^(4*d*x + 4*c) + 270*a^2*b*e^(4*d*x + 4*c) - 40*a^3*e^(2*d*x + 2*c) - 180*a^2*b*e^(2*d*x + 2*c) + 8*a^3 + 45*a^2*b)/(e^(2*d*x + 2*c) - 1)^5)/d","B",0
222,1,253,0,0.467339," ","integrate(csch(d*x+c)^8*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{35 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 280 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 840 \, {\left(8 \, a b^{2} + b^{3}\right)} {\left(d x + c\right)} - 35 \, {\left(144 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 18 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{256 \, {\left(105 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 455 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 280 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 770 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 168 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 630 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 56 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 245 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 8 \, a^{3} - 35 \, a^{2} b\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{7}}}{2240 \, d}"," ",0,"1/2240*(35*b^3*e^(4*d*x + 4*c) - 280*b^3*e^(2*d*x + 2*c) + 840*(8*a*b^2 + b^3)*(d*x + c) - 35*(144*a*b^2*e^(4*d*x + 4*c) + 18*b^3*e^(4*d*x + 4*c) - 8*b^3*e^(2*d*x + 2*c) + b^3)*e^(-4*d*x - 4*c) - 256*(105*a^2*b*e^(10*d*x + 10*c) - 455*a^2*b*e^(8*d*x + 8*c) + 280*a^3*e^(6*d*x + 6*c) + 770*a^2*b*e^(6*d*x + 6*c) - 168*a^3*e^(4*d*x + 4*c) - 630*a^2*b*e^(4*d*x + 4*c) + 56*a^3*e^(2*d*x + 2*c) + 245*a^2*b*e^(2*d*x + 2*c) - 8*a^3 - 35*a^2*b)/(e^(2*d*x + 2*c) - 1)^7)/d","B",0
223,1,360,0,0.511950," ","integrate(csch(d*x+c)^10*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{1260 \, {\left(d x + c\right)} b^{3} - 315 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 315 \, {\left(2 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + \frac{16 \, {\left(945 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} - 7560 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 5040 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 26460 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 22680 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 52920 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 16128 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 40824 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 66150 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 10752 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 37296 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 52920 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 4608 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 18144 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 26460 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 1152 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 4536 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 7560 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 128 \, a^{3} + 504 \, a^{2} b + 945 \, a b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{9}}}{2520 \, d}"," ",0,"-1/2520*(1260*(d*x + c)*b^3 - 315*b^3*e^(2*d*x + 2*c) - 315*(2*b^3*e^(2*d*x + 2*c) - b^3)*e^(-2*d*x - 2*c) + 16*(945*a*b^2*e^(16*d*x + 16*c) - 7560*a*b^2*e^(14*d*x + 14*c) + 5040*a^2*b*e^(12*d*x + 12*c) + 26460*a*b^2*e^(12*d*x + 12*c) - 22680*a^2*b*e^(10*d*x + 10*c) - 52920*a*b^2*e^(10*d*x + 10*c) + 16128*a^3*e^(8*d*x + 8*c) + 40824*a^2*b*e^(8*d*x + 8*c) + 66150*a*b^2*e^(8*d*x + 8*c) - 10752*a^3*e^(6*d*x + 6*c) - 37296*a^2*b*e^(6*d*x + 6*c) - 52920*a*b^2*e^(6*d*x + 6*c) + 4608*a^3*e^(4*d*x + 4*c) + 18144*a^2*b*e^(4*d*x + 4*c) + 26460*a*b^2*e^(4*d*x + 4*c) - 1152*a^3*e^(2*d*x + 2*c) - 4536*a^2*b*e^(2*d*x + 2*c) - 7560*a*b^2*e^(2*d*x + 2*c) + 128*a^3 + 504*a^2*b + 945*a*b^2)/(e^(2*d*x + 2*c) - 1)^9)/d","B",0
224,1,359,0,0.502172," ","integrate(csch(d*x+c)^12*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{3465 \, {\left(d x + c\right)} b^{3} - \frac{4 \, {\left(10395 \, a b^{2} e^{\left(18 \, d x + 18 \, c\right)} - 86625 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} + 83160 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} + 318780 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 382536 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} - 679140 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 295680 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 715176 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 921690 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 211200 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 700920 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 824670 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 105600 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 392040 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 485100 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 35200 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 130680 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 180180 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 7040 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 26136 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 38115 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 640 \, a^{3} - 2376 \, a^{2} b - 3465 \, a b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{11}}}{3465 \, d}"," ",0,"1/3465*(3465*(d*x + c)*b^3 - 4*(10395*a*b^2*e^(18*d*x + 18*c) - 86625*a*b^2*e^(16*d*x + 16*c) + 83160*a^2*b*e^(14*d*x + 14*c) + 318780*a*b^2*e^(14*d*x + 14*c) - 382536*a^2*b*e^(12*d*x + 12*c) - 679140*a*b^2*e^(12*d*x + 12*c) + 295680*a^3*e^(10*d*x + 10*c) + 715176*a^2*b*e^(10*d*x + 10*c) + 921690*a*b^2*e^(10*d*x + 10*c) - 211200*a^3*e^(8*d*x + 8*c) - 700920*a^2*b*e^(8*d*x + 8*c) - 824670*a*b^2*e^(8*d*x + 8*c) + 105600*a^3*e^(6*d*x + 6*c) + 392040*a^2*b*e^(6*d*x + 6*c) + 485100*a*b^2*e^(6*d*x + 6*c) - 35200*a^3*e^(4*d*x + 4*c) - 130680*a^2*b*e^(4*d*x + 4*c) - 180180*a*b^2*e^(4*d*x + 4*c) + 7040*a^3*e^(2*d*x + 2*c) + 26136*a^2*b*e^(2*d*x + 2*c) + 38115*a*b^2*e^(2*d*x + 2*c) - 640*a^3 - 2376*a^2*b - 3465*a*b^2)/(e^(2*d*x + 2*c) - 1)^11)/d","B",0
225,1,563,0,0.521842," ","integrate(csch(d*x+c)^14*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15015 \, b^{3} e^{\left(24 \, d x + 24 \, c\right)} - 180180 \, b^{3} e^{\left(22 \, d x + 22 \, c\right)} + 240240 \, a b^{2} e^{\left(20 \, d x + 20 \, c\right)} + 990990 \, b^{3} e^{\left(20 \, d x + 20 \, c\right)} - 2042040 \, a b^{2} e^{\left(18 \, d x + 18 \, c\right)} - 3303300 \, b^{3} e^{\left(18 \, d x + 18 \, c\right)} + 2306304 \, a^{2} b e^{\left(16 \, d x + 16 \, c\right)} + 7711704 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} + 7432425 \, b^{3} e^{\left(16 \, d x + 16 \, c\right)} - 10762752 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} - 17008992 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 11891880 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} + 8785920 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 20646912 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 24216192 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 13873860 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 6589440 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} - 21250944 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 23207184 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 11891880 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 3660800 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 13087360 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 15135120 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 7432425 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 1464320 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 5234944 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 6630624 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3303300 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 399360 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 1427712 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 1873872 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 990990 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 66560 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 237952 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 312312 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 180180 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 5120 \, a^{3} + 18304 \, a^{2} b + 24024 \, a b^{2} + 15015 \, b^{3}\right)}}{15015 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{13}}"," ",0,"-2/15015*(15015*b^3*e^(24*d*x + 24*c) - 180180*b^3*e^(22*d*x + 22*c) + 240240*a*b^2*e^(20*d*x + 20*c) + 990990*b^3*e^(20*d*x + 20*c) - 2042040*a*b^2*e^(18*d*x + 18*c) - 3303300*b^3*e^(18*d*x + 18*c) + 2306304*a^2*b*e^(16*d*x + 16*c) + 7711704*a*b^2*e^(16*d*x + 16*c) + 7432425*b^3*e^(16*d*x + 16*c) - 10762752*a^2*b*e^(14*d*x + 14*c) - 17008992*a*b^2*e^(14*d*x + 14*c) - 11891880*b^3*e^(14*d*x + 14*c) + 8785920*a^3*e^(12*d*x + 12*c) + 20646912*a^2*b*e^(12*d*x + 12*c) + 24216192*a*b^2*e^(12*d*x + 12*c) + 13873860*b^3*e^(12*d*x + 12*c) - 6589440*a^3*e^(10*d*x + 10*c) - 21250944*a^2*b*e^(10*d*x + 10*c) - 23207184*a*b^2*e^(10*d*x + 10*c) - 11891880*b^3*e^(10*d*x + 10*c) + 3660800*a^3*e^(8*d*x + 8*c) + 13087360*a^2*b*e^(8*d*x + 8*c) + 15135120*a*b^2*e^(8*d*x + 8*c) + 7432425*b^3*e^(8*d*x + 8*c) - 1464320*a^3*e^(6*d*x + 6*c) - 5234944*a^2*b*e^(6*d*x + 6*c) - 6630624*a*b^2*e^(6*d*x + 6*c) - 3303300*b^3*e^(6*d*x + 6*c) + 399360*a^3*e^(4*d*x + 4*c) + 1427712*a^2*b*e^(4*d*x + 4*c) + 1873872*a*b^2*e^(4*d*x + 4*c) + 990990*b^3*e^(4*d*x + 4*c) - 66560*a^3*e^(2*d*x + 2*c) - 237952*a^2*b*e^(2*d*x + 2*c) - 312312*a*b^2*e^(2*d*x + 2*c) - 180180*b^3*e^(2*d*x + 2*c) + 5120*a^3 + 18304*a^2*b + 24024*a*b^2 + 15015*b^3)/(d*(e^(2*d*x + 2*c) - 1)^13)","B",0
226,1,621,0,0.536865," ","integrate(csch(d*x+c)^16*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{4 \, {\left(45045 \, b^{3} e^{\left(26 \, d x + 26 \, c\right)} - 555555 \, b^{3} e^{\left(24 \, d x + 24 \, c\right)} + 1081080 \, a b^{2} e^{\left(22 \, d x + 22 \, c\right)} + 3153150 \, b^{3} e^{\left(22 \, d x + 22 \, c\right)} - 9297288 \, a b^{2} e^{\left(20 \, d x + 20 \, c\right)} - 10900890 \, b^{3} e^{\left(20 \, d x + 20 \, c\right)} + 11531520 \, a^{2} b e^{\left(18 \, d x + 18 \, c\right)} + 35675640 \, a b^{2} e^{\left(18 \, d x + 18 \, c\right)} + 25600575 \, b^{3} e^{\left(18 \, d x + 18 \, c\right)} - 54362880 \, a^{2} b e^{\left(16 \, d x + 16 \, c\right)} - 80463240 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} - 43108065 \, b^{3} e^{\left(16 \, d x + 16 \, c\right)} + 46126080 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} + 106254720 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} + 118301040 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 53513460 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 35875840 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} - 113393280 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} - 118918800 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 49549500 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 21525504 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 74954880 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 83459376 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 34189155 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 9784320 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 34070400 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 41081040 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 17342325 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 3261440 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 11356800 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 14054040 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 6276270 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 752640 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 2620800 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 3243240 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 1531530 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 107520 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 374400 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 463320 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 225225 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 7168 \, a^{3} - 24960 \, a^{2} b - 30888 \, a b^{2} - 15015 \, b^{3}\right)}}{45045 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{15}}"," ",0,"-4/45045*(45045*b^3*e^(26*d*x + 26*c) - 555555*b^3*e^(24*d*x + 24*c) + 1081080*a*b^2*e^(22*d*x + 22*c) + 3153150*b^3*e^(22*d*x + 22*c) - 9297288*a*b^2*e^(20*d*x + 20*c) - 10900890*b^3*e^(20*d*x + 20*c) + 11531520*a^2*b*e^(18*d*x + 18*c) + 35675640*a*b^2*e^(18*d*x + 18*c) + 25600575*b^3*e^(18*d*x + 18*c) - 54362880*a^2*b*e^(16*d*x + 16*c) - 80463240*a*b^2*e^(16*d*x + 16*c) - 43108065*b^3*e^(16*d*x + 16*c) + 46126080*a^3*e^(14*d*x + 14*c) + 106254720*a^2*b*e^(14*d*x + 14*c) + 118301040*a*b^2*e^(14*d*x + 14*c) + 53513460*b^3*e^(14*d*x + 14*c) - 35875840*a^3*e^(12*d*x + 12*c) - 113393280*a^2*b*e^(12*d*x + 12*c) - 118918800*a*b^2*e^(12*d*x + 12*c) - 49549500*b^3*e^(12*d*x + 12*c) + 21525504*a^3*e^(10*d*x + 10*c) + 74954880*a^2*b*e^(10*d*x + 10*c) + 83459376*a*b^2*e^(10*d*x + 10*c) + 34189155*b^3*e^(10*d*x + 10*c) - 9784320*a^3*e^(8*d*x + 8*c) - 34070400*a^2*b*e^(8*d*x + 8*c) - 41081040*a*b^2*e^(8*d*x + 8*c) - 17342325*b^3*e^(8*d*x + 8*c) + 3261440*a^3*e^(6*d*x + 6*c) + 11356800*a^2*b*e^(6*d*x + 6*c) + 14054040*a*b^2*e^(6*d*x + 6*c) + 6276270*b^3*e^(6*d*x + 6*c) - 752640*a^3*e^(4*d*x + 4*c) - 2620800*a^2*b*e^(4*d*x + 4*c) - 3243240*a*b^2*e^(4*d*x + 4*c) - 1531530*b^3*e^(4*d*x + 4*c) + 107520*a^3*e^(2*d*x + 2*c) + 374400*a^2*b*e^(2*d*x + 2*c) + 463320*a*b^2*e^(2*d*x + 2*c) + 225225*b^3*e^(2*d*x + 2*c) - 7168*a^3 - 24960*a^2*b - 30888*a*b^2 - 15015*b^3)/(d*(e^(2*d*x + 2*c) - 1)^15)","B",0
227,1,679,0,0.534600," ","integrate(csch(d*x+c)^18*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{16 \, {\left(510510 \, b^{3} e^{\left(28 \, d x + 28 \, c\right)} - 6381375 \, b^{3} e^{\left(26 \, d x + 26 \, c\right)} + 14702688 \, a b^{2} e^{\left(24 \, d x + 24 \, c\right)} + 36807771 \, b^{3} e^{\left(24 \, d x + 24 \, c\right)} - 127423296 \, a b^{2} e^{\left(22 \, d x + 22 \, c\right)} - 129771642 \, b^{3} e^{\left(22 \, d x + 22 \, c\right)} + 168030720 \, a^{2} b e^{\left(20 \, d x + 20 \, c\right)} + 494290368 \, a b^{2} e^{\left(20 \, d x + 20 \, c\right)} + 312227916 \, b^{3} e^{\left(20 \, d x + 20 \, c\right)} - 798145920 \, a^{2} b e^{\left(18 \, d x + 18 \, c\right)} - 1132457040 \, a b^{2} e^{\left(18 \, d x + 18 \, c\right)} - 541906365 \, b^{3} e^{\left(18 \, d x + 18 \, c\right)} + 697016320 \, a^{3} e^{\left(16 \, d x + 16 \, c\right)} + 1582289280 \, a^{2} b e^{\left(16 \, d x + 16 \, c\right)} + 1704228240 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} + 699143445 \, b^{3} e^{\left(16 \, d x + 16 \, c\right)} - 557613056 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} - 1736317440 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} - 1775057856 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 680611932 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} + 354844672 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} + 1211857920 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 1316707392 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 502035534 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 177422336 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} - 605928960 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 707362656 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 279095817 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 68239360 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} + 233049600 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 277717440 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 115120005 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 19496960 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 66585600 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 79347840 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 34204170 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 3899392 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 13317120 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 15869568 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 6942936 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 487424 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 1664640 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 1983696 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 867867 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 28672 \, a^{3} + 97920 \, a^{2} b + 116688 \, a b^{2} + 51051 \, b^{3}\right)}}{765765 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{17}}"," ",0,"-16/765765*(510510*b^3*e^(28*d*x + 28*c) - 6381375*b^3*e^(26*d*x + 26*c) + 14702688*a*b^2*e^(24*d*x + 24*c) + 36807771*b^3*e^(24*d*x + 24*c) - 127423296*a*b^2*e^(22*d*x + 22*c) - 129771642*b^3*e^(22*d*x + 22*c) + 168030720*a^2*b*e^(20*d*x + 20*c) + 494290368*a*b^2*e^(20*d*x + 20*c) + 312227916*b^3*e^(20*d*x + 20*c) - 798145920*a^2*b*e^(18*d*x + 18*c) - 1132457040*a*b^2*e^(18*d*x + 18*c) - 541906365*b^3*e^(18*d*x + 18*c) + 697016320*a^3*e^(16*d*x + 16*c) + 1582289280*a^2*b*e^(16*d*x + 16*c) + 1704228240*a*b^2*e^(16*d*x + 16*c) + 699143445*b^3*e^(16*d*x + 16*c) - 557613056*a^3*e^(14*d*x + 14*c) - 1736317440*a^2*b*e^(14*d*x + 14*c) - 1775057856*a*b^2*e^(14*d*x + 14*c) - 680611932*b^3*e^(14*d*x + 14*c) + 354844672*a^3*e^(12*d*x + 12*c) + 1211857920*a^2*b*e^(12*d*x + 12*c) + 1316707392*a*b^2*e^(12*d*x + 12*c) + 502035534*b^3*e^(12*d*x + 12*c) - 177422336*a^3*e^(10*d*x + 10*c) - 605928960*a^2*b*e^(10*d*x + 10*c) - 707362656*a*b^2*e^(10*d*x + 10*c) - 279095817*b^3*e^(10*d*x + 10*c) + 68239360*a^3*e^(8*d*x + 8*c) + 233049600*a^2*b*e^(8*d*x + 8*c) + 277717440*a*b^2*e^(8*d*x + 8*c) + 115120005*b^3*e^(8*d*x + 8*c) - 19496960*a^3*e^(6*d*x + 6*c) - 66585600*a^2*b*e^(6*d*x + 6*c) - 79347840*a*b^2*e^(6*d*x + 6*c) - 34204170*b^3*e^(6*d*x + 6*c) + 3899392*a^3*e^(4*d*x + 4*c) + 13317120*a^2*b*e^(4*d*x + 4*c) + 15869568*a*b^2*e^(4*d*x + 4*c) + 6942936*b^3*e^(4*d*x + 4*c) - 487424*a^3*e^(2*d*x + 2*c) - 1664640*a^2*b*e^(2*d*x + 2*c) - 1983696*a*b^2*e^(2*d*x + 2*c) - 867867*b^3*e^(2*d*x + 2*c) + 28672*a^3 + 97920*a^2*b + 116688*a*b^2 + 51051*b^3)/(d*(e^(2*d*x + 2*c) - 1)^17)","B",0
228,1,737,0,0.572879," ","integrate(csch(d*x+c)^20*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{32 \, {\left(4849845 \, b^{3} e^{\left(30 \, d x + 30 \, c\right)} - 61108047 \, b^{3} e^{\left(28 \, d x + 28 \, c\right)} + 155195040 \, a b^{2} e^{\left(26 \, d x + 26 \, c\right)} + 355978623 \, b^{3} e^{\left(26 \, d x + 26 \, c\right)} - 1352413920 \, a b^{2} e^{\left(24 \, d x + 24 \, c\right)} - 1270797957 \, b^{3} e^{\left(24 \, d x + 24 \, c\right)} + 1862340480 \, a^{2} b e^{\left(22 \, d x + 22 \, c\right)} + 5287716720 \, a b^{2} e^{\left(22 \, d x + 22 \, c\right)} + 3106533573 \, b^{3} e^{\left(22 \, d x + 22 \, c\right)} - 8897848960 \, a^{2} b e^{\left(20 \, d x + 20 \, c\right)} - 12256713040 \, a b^{2} e^{\left(20 \, d x + 20 \, c\right)} - 5504019807 \, b^{3} e^{\left(20 \, d x + 20 \, c\right)} + 7945986048 \, a^{3} e^{\left(18 \, d x + 18 \, c\right)} + 17837083264 \, a^{2} b e^{\left(18 \, d x + 18 \, c\right)} + 18774904720 \, a b^{2} e^{\left(18 \, d x + 18 \, c\right)} + 7296522519 \, b^{3} e^{\left(18 \, d x + 18 \, c\right)} - 6501261312 \, a^{3} e^{\left(16 \, d x + 16 \, c\right)} - 20011694976 \, a^{2} b e^{\left(16 \, d x + 16 \, c\right)} - 20101788720 \, a b^{2} e^{\left(16 \, d x + 16 \, c\right)} - 7366637421 \, b^{3} e^{\left(16 \, d x + 16 \, c\right)} + 4334174208 \, a^{3} e^{\left(14 \, d x + 14 \, c\right)} + 14582690304 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} + 15573923040 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 5711316039 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 2333786112 \, a^{3} e^{\left(12 \, d x + 12 \, c\right)} - 7852217856 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} - 8958986400 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 3403621221 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 1000194048 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 3365236224 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 3906077760 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1550149029 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 333398016 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 1121745408 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 1302025920 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 532235847 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 83349504 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 280436352 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 325506480 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 134271423 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 14708736 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 49488768 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 57442320 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 23694957 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 1634304 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 5498752 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 6382480 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2632773 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 86016 \, a^{3} - 289408 \, a^{2} b - 335920 \, a b^{2} - 138567 \, b^{3}\right)}}{4849845 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{19}}"," ",0,"-32/4849845*(4849845*b^3*e^(30*d*x + 30*c) - 61108047*b^3*e^(28*d*x + 28*c) + 155195040*a*b^2*e^(26*d*x + 26*c) + 355978623*b^3*e^(26*d*x + 26*c) - 1352413920*a*b^2*e^(24*d*x + 24*c) - 1270797957*b^3*e^(24*d*x + 24*c) + 1862340480*a^2*b*e^(22*d*x + 22*c) + 5287716720*a*b^2*e^(22*d*x + 22*c) + 3106533573*b^3*e^(22*d*x + 22*c) - 8897848960*a^2*b*e^(20*d*x + 20*c) - 12256713040*a*b^2*e^(20*d*x + 20*c) - 5504019807*b^3*e^(20*d*x + 20*c) + 7945986048*a^3*e^(18*d*x + 18*c) + 17837083264*a^2*b*e^(18*d*x + 18*c) + 18774904720*a*b^2*e^(18*d*x + 18*c) + 7296522519*b^3*e^(18*d*x + 18*c) - 6501261312*a^3*e^(16*d*x + 16*c) - 20011694976*a^2*b*e^(16*d*x + 16*c) - 20101788720*a*b^2*e^(16*d*x + 16*c) - 7366637421*b^3*e^(16*d*x + 16*c) + 4334174208*a^3*e^(14*d*x + 14*c) + 14582690304*a^2*b*e^(14*d*x + 14*c) + 15573923040*a*b^2*e^(14*d*x + 14*c) + 5711316039*b^3*e^(14*d*x + 14*c) - 2333786112*a^3*e^(12*d*x + 12*c) - 7852217856*a^2*b*e^(12*d*x + 12*c) - 8958986400*a*b^2*e^(12*d*x + 12*c) - 3403621221*b^3*e^(12*d*x + 12*c) + 1000194048*a^3*e^(10*d*x + 10*c) + 3365236224*a^2*b*e^(10*d*x + 10*c) + 3906077760*a*b^2*e^(10*d*x + 10*c) + 1550149029*b^3*e^(10*d*x + 10*c) - 333398016*a^3*e^(8*d*x + 8*c) - 1121745408*a^2*b*e^(8*d*x + 8*c) - 1302025920*a*b^2*e^(8*d*x + 8*c) - 532235847*b^3*e^(8*d*x + 8*c) + 83349504*a^3*e^(6*d*x + 6*c) + 280436352*a^2*b*e^(6*d*x + 6*c) + 325506480*a*b^2*e^(6*d*x + 6*c) + 134271423*b^3*e^(6*d*x + 6*c) - 14708736*a^3*e^(4*d*x + 4*c) - 49488768*a^2*b*e^(4*d*x + 4*c) - 57442320*a*b^2*e^(4*d*x + 4*c) - 23694957*b^3*e^(4*d*x + 4*c) + 1634304*a^3*e^(2*d*x + 2*c) + 5498752*a^2*b*e^(2*d*x + 2*c) + 6382480*a*b^2*e^(2*d*x + 2*c) + 2632773*b^3*e^(2*d*x + 2*c) - 86016*a^3 - 289408*a^2*b - 335920*a*b^2 - 138567*b^3)/(d*(e^(2*d*x + 2*c) - 1)^19)","B",0
229,1,553,0,0.532217," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{\frac{12 \, {\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b\right)} b^{2} + {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{2} + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{3}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b^{4} - \sqrt{b^{8} + {\left(a b^{3} - b^{4}\right)} b^{4}}}{b^{4}}}}\right)}{a^{2} b^{5} + 7 \, a b^{6} - 8 \, b^{7}} + \frac{6 \, {\left(\sqrt{b^{2} + \sqrt{a b} b} a^{2} b^{3} {\left| b \right|} - \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a b^{4} - {\left(\sqrt{b^{2} + \sqrt{a b} b} a^{2} b + \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a^{2}\right)} b^{2} {\left| b \right|} + {\left(\sqrt{b^{2} + \sqrt{a b} b} a^{2} b^{2} + \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a b^{2}\right)} b^{2}\right)} \log\left(2 \, \sqrt{\frac{b^{4} + \sqrt{b^{8} + {\left(a b^{3} - b^{4}\right)} b^{4}}}{b^{4}}} + e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}{a^{2} b^{6} - a b^{7}} - \frac{6 \, {\left(\sqrt{b^{2} + \sqrt{a b} b} a b^{2} {\left| b \right|} - \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a b^{2}\right)} \log\left({\left| -2 \, \sqrt{\frac{b^{4} + \sqrt{b^{8} + {\left(a b^{3} - b^{4}\right)} b^{4}}}{b^{4}}} + e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} \right|}\right)}{a b^{5} - b^{6}} + \frac{b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 12 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{b^{3}}}{24 \, d}"," ",0,"-1/24*(12*((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b)*b^2 + (sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^2 + 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^3)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b^4 - sqrt(b^8 + (a*b^3 - b^4)*b^4))/b^4))/(a^2*b^5 + 7*a*b^6 - 8*b^7) + 6*(sqrt(b^2 + sqrt(a*b)*b)*a^2*b^3*abs(b) - sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a*b^4 - (sqrt(b^2 + sqrt(a*b)*b)*a^2*b + sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a^2)*b^2*abs(b) + (sqrt(b^2 + sqrt(a*b)*b)*a^2*b^2 + sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a*b^2)*b^2)*log(2*sqrt((b^4 + sqrt(b^8 + (a*b^3 - b^4)*b^4))/b^4) + e^(d*x + c) + e^(-d*x - c))/(a^2*b^6 - a*b^7) - 6*(sqrt(b^2 + sqrt(a*b)*b)*a*b^2*abs(b) - sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a*b^2)*log(abs(-2*sqrt((b^4 + sqrt(b^8 + (a*b^3 - b^4)*b^4))/b^4) + e^(d*x + c) + e^(-d*x - c)))/(a*b^5 - b^6) + (b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 12*b^2*(e^(d*x + c) + e^(-d*x - c)))/b^3)/d","B",0
230,1,418,0,0.518315," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{3} + {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{2} b + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{2}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b^{2} - \sqrt{b^{4} + {\left(a b - b^{2}\right)} b^{2}}}{b^{2}}}}\right)}{a^{2} b^{4} + 7 \, a b^{5} - 8 \, b^{6}} + \frac{{\left(\sqrt{b^{2} + \sqrt{a b} b} a^{2} b {\left| b \right|} + \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a b^{2}\right)} \log\left(2 \, \sqrt{\frac{b^{2} + \sqrt{b^{4} + {\left(a b - b^{2}\right)} b^{2}}}{b^{2}}} + e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}{a^{2} b^{4} - a b^{5}} - \frac{{\left(\sqrt{b^{2} + \sqrt{a b} b} a^{2} b {\left| b \right|} - \sqrt{a b} \sqrt{b^{2} + \sqrt{a b} b} a b^{2}\right)} \log\left({\left| -2 \, \sqrt{\frac{b^{2} + \sqrt{b^{4} + {\left(a b - b^{2}\right)} b^{2}}}{b^{2}}} + e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} \right|}\right)}{a^{2} b^{4} - a b^{5}} - \frac{2 \, {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{b}}{4 \, d}"," ",0,"1/4*(2*(sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^3 + (sqrt(-b^2 + sqrt(a*b)*b)*a^2*b + 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b^2 - sqrt(b^4 + (a*b - b^2)*b^2))/b^2))/(a^2*b^4 + 7*a*b^5 - 8*b^6) + (sqrt(b^2 + sqrt(a*b)*b)*a^2*b*abs(b) + sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a*b^2)*log(2*sqrt((b^2 + sqrt(b^4 + (a*b - b^2)*b^2))/b^2) + e^(d*x + c) + e^(-d*x - c))/(a^2*b^4 - a*b^5) - (sqrt(b^2 + sqrt(a*b)*b)*a^2*b*abs(b) - sqrt(a*b)*sqrt(b^2 + sqrt(a*b)*b)*a*b^2)*log(abs(-2*sqrt((b^2 + sqrt(b^4 + (a*b - b^2)*b^2))/b^2) + e^(d*x + c) + e^(-d*x - c)))/(a^2*b^4 - a*b^5) - 2*(e^(d*x + c) + e^(-d*x - c))/b)/d","B",0
231,1,311,0,0.372020," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{\frac{{\left(\sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{-b^{2} - \sqrt{a b} b} b^{2} - \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a - 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b + \sqrt{{\left(a - b\right)} b + b^{2}}}{b}}}\right)}{a^{2} b^{3} + 7 \, a b^{4} - 8 \, b^{5}} + \frac{{\left(\sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} b^{2} + \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b - \sqrt{{\left(a - b\right)} b + b^{2}}}{b}}}\right)}{a^{2} b^{3} + 7 \, a b^{4} - 8 \, b^{5}}}{2 \, d}"," ",0,"-1/2*((sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(-b^2 - sqrt(a*b)*b)*b^2 - sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a - 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b + sqrt((a - b)*b + b^2))/b))/(a^2*b^3 + 7*a*b^4 - 8*b^5) + (sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(-b^2 + sqrt(a*b)*b)*b^2 + sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b - sqrt((a - b)*b + b^2))/b))/(a^2*b^3 + 7*a*b^4 - 8*b^5))/d","B",0
232,1,329,0,0.305834," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{\frac{{\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{2} b + 8 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{2} - \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b - 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b + \sqrt{{\left(a - b\right)} b + b^{2}}}{b}}}\right)}{a^{3} b^{3} + 7 \, a^{2} b^{4} - 8 \, a b^{5}} + \frac{{\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{2} b + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{2} + \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{b - \sqrt{{\left(a - b\right)} b + b^{2}}}{b}}}\right)}{a^{3} b^{3} + 7 \, a^{2} b^{4} - 8 \, a b^{5}}}{2 \, d}"," ",0,"1/2*((sqrt(-b^2 - sqrt(a*b)*b)*a^2*b + 8*sqrt(-b^2 - sqrt(a*b)*b)*a*b^2 - sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b - 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b + sqrt((a - b)*b + b^2))/b))/(a^3*b^3 + 7*a^2*b^4 - 8*a*b^5) + (sqrt(-b^2 + sqrt(a*b)*b)*a^2*b + 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2 + sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(b - sqrt((a - b)*b + b^2))/b))/(a^3*b^3 + 7*a^2*b^4 - 8*a*b^5))/d","B",0
233,1,415,0,0.261001," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{\frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b\right)} {\left| a \right|} {\left| b \right|} - {\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{2} b + 8 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{2}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b + \sqrt{a^{2} b^{2} + {\left(a^{2} - a b\right)} a b}}{a b}}}\right)}{a^{4} b^{2} + 7 \, a^{3} b^{3} - 8 \, a^{2} b^{4}} - \frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b\right)} {\left| a \right|} {\left| b \right|} + {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{2} b + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{2}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b - \sqrt{a^{2} b^{2} + {\left(a^{2} - a b\right)} a b}}{a b}}}\right)}{a^{4} b^{2} + 7 \, a^{3} b^{3} - 8 \, a^{2} b^{4}} - \frac{\log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right)}{a} + \frac{\log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{a}}{2 \, d}"," ",0,"1/2*(((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b)*abs(a)*abs(b) - (sqrt(-b^2 - sqrt(a*b)*b)*a^2*b + 8*sqrt(-b^2 - sqrt(a*b)*b)*a*b^2)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b + sqrt(a^2*b^2 + (a^2 - a*b)*a*b))/(a*b)))/(a^4*b^2 + 7*a^3*b^3 - 8*a^2*b^4) - ((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b)*abs(a)*abs(b) + (sqrt(-b^2 + sqrt(a*b)*b)*a^2*b + 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b - sqrt(a^2*b^2 + (a^2 - a*b)*a*b))/(a*b)))/(a^4*b^2 + 7*a^3*b^3 - 8*a^2*b^4) - log(e^(d*x + c) + e^(-d*x - c) + 2)/a + log(e^(d*x + c) + e^(-d*x - c) - 2)/a)/d","B",0
234,1,463,0,0.274981," ","integrate(csch(d*x+c)^3/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","\frac{\frac{2 \, {\left({\left(\sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left| a \right|} {\left| b \right|} - {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b + \sqrt{a^{2} b^{2} + {\left(a^{2} - a b\right)} a b}}{a b}}}\right)}{{\left(a^{3} b^{2} + 7 \, a^{2} b^{3} - 8 \, a b^{4}\right)} {\left| a \right|}} + \frac{2 \, {\left({\left(\sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left| a \right|} {\left| b \right|} + {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b - \sqrt{a^{2} b^{2} + {\left(a^{2} - a b\right)} a b}}{a b}}}\right)}{{\left(a^{3} b^{2} + 7 \, a^{2} b^{3} - 8 \, a b^{4}\right)} {\left| a \right|}} + \frac{\log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right)}{a} - \frac{\log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{a} - \frac{4 \, {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4\right)} a}}{4 \, d}"," ",0,"1/4*(2*((sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*abs(a)*abs(b) - (sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b + sqrt(a^2*b^2 + (a^2 - a*b)*a*b))/(a*b)))/((a^3*b^2 + 7*a^2*b^3 - 8*a*b^4)*abs(a)) + 2*((sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*abs(a)*abs(b) + (sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b - sqrt(a^2*b^2 + (a^2 - a*b)*a*b))/(a*b)))/((a^3*b^2 + 7*a^2*b^3 - 8*a*b^4)*abs(a)) + log(e^(d*x + c) + e^(-d*x - c) + 2)/a - log(e^(d*x + c) + e^(-d*x - c) - 2)/a - 4*(e^(d*x + c) + e^(-d*x - c))/(((e^(d*x + c) + e^(-d*x - c))^2 - 4)*a))/d","B",0
235,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Not invertible Error: Bad Argument Value","F(-2)",0
236,1,13,0,0.531882," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{d x + c}{b d}"," ",0,"-(d*x + c)/(b*d)","A",0
237,1,1,0,0.349335," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","0"," ",0,"0","A",0
238,1,1,0,0.160606," ","integrate(1/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","0"," ",0,"0","A",0
239,1,21,0,0.224876," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{2}{a d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}"," ",0,"-2/(a*d*(e^(2*d*x + 2*c) - 1))","A",0
240,1,34,0,0.214782," ","integrate(csch(d*x+c)^4/(a-b*sinh(d*x+c)^4),x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{3 \, a d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}"," ",0,"-4/3*(3*e^(2*d*x + 2*c) - 1)/(a*d*(e^(2*d*x + 2*c) - 1)^3)","A",0
241,1,1078,0,1.338249," ","integrate(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{\frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b\right)} {\left(a b^{2} - b^{3}\right)}^{2} {\left| b \right|} + {\left(5 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{2} + 28 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} - 89 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4} + 56 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{5}\right)} {\left| -a b^{2} + b^{3} \right|} {\left| b \right|} - {\left(5 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{4} + 24 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{5} - 111 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{6} + 130 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{7} - 48 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{8}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{3} - b^{4} + \sqrt{{\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} {\left(a b^{3} - b^{4}\right)} + {\left(a b^{3} - b^{4}\right)}^{2}}}{a b^{3} - b^{4}}}}\right)}{{\left(a^{4} b^{6} + 5 \, a^{3} b^{7} - 21 \, a^{2} b^{8} + 23 \, a b^{9} - 8 \, b^{10}\right)} {\left| -a b^{2} + b^{3} \right|}} - \frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b\right)} {\left(a b^{2} - b^{3}\right)}^{2} {\left| b \right|} - {\left(5 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{2} + 28 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} - 89 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4} + 56 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{5}\right)} {\left| -a b^{2} + b^{3} \right|} {\left| b \right|} - {\left(5 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{4} + 24 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{5} - 111 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{6} + 130 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{7} - 48 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{8}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{3} - b^{4} - \sqrt{{\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} {\left(a b^{3} - b^{4}\right)} + {\left(a b^{3} - b^{4}\right)}^{2}}}{a b^{3} - b^{4}}}}\right)}{{\left(a^{4} b^{6} + 5 \, a^{3} b^{7} - 21 \, a^{2} b^{8} + 23 \, a b^{9} - 8 \, b^{10}\right)} {\left| -a b^{2} + b^{3} \right|}} - \frac{4 \, {\left(a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 4 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 4 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a b^{2} - b^{3}\right)}} - \frac{4 \, {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{b^{2}}}{8 \, d}"," ",0,"-1/8*(((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b)*(a*b^2 - b^3)^2*abs(b) + (5*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^2 + 28*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 - 89*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4 + 56*sqrt(-b^2 + sqrt(a*b)*b)*a*b^5)*abs(-a*b^2 + b^3)*abs(b) - (5*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^4 + 24*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^5 - 111*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^6 + 130*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^7 - 48*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^8)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^3 - b^4 + sqrt((a^2*b^2 - 2*a*b^3 + b^4)*(a*b^3 - b^4) + (a*b^3 - b^4)^2))/(a*b^3 - b^4)))/((a^4*b^6 + 5*a^3*b^7 - 21*a^2*b^8 + 23*a*b^9 - 8*b^10)*abs(-a*b^2 + b^3)) - ((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b)*(a*b^2 - b^3)^2*abs(b) - (5*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^2 + 28*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 - 89*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4 + 56*sqrt(-b^2 - sqrt(a*b)*b)*a*b^5)*abs(-a*b^2 + b^3)*abs(b) - (5*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^4 + 24*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^5 - 111*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^6 + 130*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^7 - 48*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^8)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^3 - b^4 - sqrt((a^2*b^2 - 2*a*b^3 + b^4)*(a*b^3 - b^4) + (a*b^3 - b^4)^2))/(a*b^3 - b^4)))/((a^4*b^6 + 5*a^3*b^7 - 21*a^2*b^8 + 23*a*b^9 - 8*b^10)*abs(-a*b^2 + b^3)) - 4*(a*b*(e^(d*x + c) + e^(-d*x - c))^3 - 4*a^2*(e^(d*x + c) + e^(-d*x - c)) - 4*a*b*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a*b^2 - b^3)) - 4*(e^(d*x + c) + e^(-d*x - c))/b^2)/d","B",0
242,1,1002,0,1.151018," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{\frac{{\left({\left(3 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 20 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b - 32 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left(a b - b^{2}\right)}^{2} {\left| b \right|} + 2 \, {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{2} + 5 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{3} - 22 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{4} + 16 \, \sqrt{-b^{2} + \sqrt{a b} b} b^{5}\right)} {\left| -a b + b^{2} \right|} {\left| b \right|} - {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} + 6 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4} - 15 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{5} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{6}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{2} - b^{3} + \sqrt{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} {\left(a b^{2} - b^{3}\right)} + {\left(a b^{2} - b^{3}\right)}^{2}}}{a b^{2} - b^{3}}}}\right)}{{\left(a^{4} b^{5} + 5 \, a^{3} b^{6} - 21 \, a^{2} b^{7} + 23 \, a b^{8} - 8 \, b^{9}\right)} {\left| -a b + b^{2} \right|}} + \frac{{\left({\left(3 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 20 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b - 32 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left(a b - b^{2}\right)}^{2} {\left| b \right|} + 2 \, {\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{2} + 5 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{3} - 22 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{4} + 16 \, \sqrt{-b^{2} - \sqrt{a b} b} b^{5}\right)} {\left| -a b + b^{2} \right|} {\left| b \right|} - {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} + 6 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4} - 15 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{5} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{6}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{2} - b^{3} - \sqrt{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} {\left(a b^{2} - b^{3}\right)} + {\left(a b^{2} - b^{3}\right)}^{2}}}{a b^{2} - b^{3}}}}\right)}{{\left(a^{4} b^{5} + 5 \, a^{3} b^{6} - 21 \, a^{2} b^{7} + 23 \, a b^{8} - 8 \, b^{9}\right)} {\left| -a b + b^{2} \right|}} - \frac{4 \, {\left(a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 8 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a b - b^{2}\right)}}}{8 \, d}"," ",0,"1/8*(((3*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 20*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b - 32*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*(a*b - b^2)^2*abs(b) + 2*(sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^2 + 5*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^3 - 22*sqrt(-b^2 + sqrt(a*b)*b)*a*b^4 + 16*sqrt(-b^2 + sqrt(a*b)*b)*b^5)*abs(-a*b + b^2)*abs(b) - (sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 + 6*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4 - 15*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^5 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^6)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^2 - b^3 + sqrt((a^2*b - 2*a*b^2 + b^3)*(a*b^2 - b^3) + (a*b^2 - b^3)^2))/(a*b^2 - b^3)))/((a^4*b^5 + 5*a^3*b^6 - 21*a^2*b^7 + 23*a*b^8 - 8*b^9)*abs(-a*b + b^2)) + ((3*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 20*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b - 32*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*(a*b - b^2)^2*abs(b) + 2*(sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^2 + 5*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^3 - 22*sqrt(-b^2 - sqrt(a*b)*b)*a*b^4 + 16*sqrt(-b^2 - sqrt(a*b)*b)*b^5)*abs(-a*b + b^2)*abs(b) - (sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 + 6*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4 - 15*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^5 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^6)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^2 - b^3 - sqrt((a^2*b - 2*a*b^2 + b^3)*(a*b^2 - b^3) + (a*b^2 - b^3)^2))/(a*b^2 - b^3)))/((a^4*b^5 + 5*a^3*b^6 - 21*a^2*b^7 + 23*a*b^8 - 8*b^9)*abs(-a*b + b^2)) - 4*(a*(e^(d*x + c) + e^(-d*x - c))^3 - 8*a*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a*b - b^2)))/d","B",0
243,1,1033,0,0.970762," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{\frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b\right)} {\left(a b - b^{2}\right)}^{2} {\left| b \right|} - {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{4} b + 4 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{2} - 29 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{3} + 24 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{4}\right)} {\left| -a b + b^{2} \right|} {\left| b \right|} - {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{2} + 4 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} - 27 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4} + 38 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{5} - 16 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{6}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{2} - b^{3} + \sqrt{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} {\left(a b^{2} - b^{3}\right)} + {\left(a b^{2} - b^{3}\right)}^{2}}}{a b^{2} - b^{3}}}}\right)}{{\left(a^{5} b^{4} + 5 \, a^{4} b^{5} - 21 \, a^{3} b^{6} + 23 \, a^{2} b^{7} - 8 \, a b^{8}\right)} {\left| -a b + b^{2} \right|}} + \frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b\right)} {\left(a b - b^{2}\right)}^{2} {\left| b \right|} - {\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{4} b + 4 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{2} - 29 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{3} + 24 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{4}\right)} {\left| -a b + b^{2} \right|} {\left| b \right|} - {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{2} + 4 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} - 27 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4} + 38 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{5} - 16 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{6}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b^{2} - b^{3} - \sqrt{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} {\left(a b^{2} - b^{3}\right)} + {\left(a b^{2} - b^{3}\right)}^{2}}}{a b^{2} - b^{3}}}}\right)}{{\left(a^{5} b^{4} + 5 \, a^{4} b^{5} - 21 \, a^{3} b^{6} + 23 \, a^{2} b^{7} - 8 \, a b^{8}\right)} {\left| -a b + b^{2} \right|}} + \frac{4 \, {\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 4 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 4 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a b - b^{2}\right)}}}{8 \, d}"," ",0,"1/8*(((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b)*(a*b - b^2)^2*abs(b) - (sqrt(-b^2 + sqrt(a*b)*b)*a^4*b + 4*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^2 - 29*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^3 + 24*sqrt(-b^2 + sqrt(a*b)*b)*a*b^4)*abs(-a*b + b^2)*abs(b) - (sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^2 + 4*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 - 27*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4 + 38*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^5 - 16*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^6)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^2 - b^3 + sqrt((a^2*b - 2*a*b^2 + b^3)*(a*b^2 - b^3) + (a*b^2 - b^3)^2))/(a*b^2 - b^3)))/((a^5*b^4 + 5*a^4*b^5 - 21*a^3*b^6 + 23*a^2*b^7 - 8*a*b^8)*abs(-a*b + b^2)) + ((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b)*(a*b - b^2)^2*abs(b) - (sqrt(-b^2 - sqrt(a*b)*b)*a^4*b + 4*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^2 - 29*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^3 + 24*sqrt(-b^2 - sqrt(a*b)*b)*a*b^4)*abs(-a*b + b^2)*abs(b) - (sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^2 + 4*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 - 27*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4 + 38*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^5 - 16*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^6)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b^2 - b^3 - sqrt((a^2*b - 2*a*b^2 + b^3)*(a*b^2 - b^3) + (a*b^2 - b^3)^2))/(a*b^2 - b^3)))/((a^5*b^4 + 5*a^4*b^5 - 21*a^3*b^6 + 23*a^2*b^7 - 8*a*b^8)*abs(-a*b + b^2)) + 4*(b*(e^(d*x + c) + e^(-d*x - c))^3 - 4*a*(e^(d*x + c) + e^(-d*x - c)) - 4*b*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a*b - b^2)))/d","B",0
244,1,854,0,0.732684," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{\frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b\right)} {\left(a - b\right)}^{2} {\left| b \right|} + 2 \, {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{3} b + 7 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{2} - 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{3}\right)} {\left| -a + b \right|} {\left| b \right|} + {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b + 6 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{2} - 15 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{3} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{4}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b - b^{2} + \sqrt{{\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(a b - b^{2}\right)} + {\left(a b - b^{2}\right)}^{2}}}{a b - b^{2}}}}\right)}{{\left(a^{5} b^{3} + 5 \, a^{4} b^{4} - 21 \, a^{3} b^{5} + 23 \, a^{2} b^{6} - 8 \, a b^{7}\right)} {\left| -a + b \right|}} + \frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b\right)} {\left(a - b\right)}^{2} {\left| b \right|} + 2 \, {\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{3} b + 7 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{2} - 8 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{3}\right)} {\left| -a + b \right|} {\left| b \right|} + {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b + 6 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{2} - 15 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{3} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{4}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a b - b^{2} - \sqrt{{\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(a b - b^{2}\right)} + {\left(a b - b^{2}\right)}^{2}}}{a b - b^{2}}}}\right)}{{\left(a^{5} b^{3} + 5 \, a^{4} b^{4} - 21 \, a^{3} b^{5} + 23 \, a^{2} b^{6} - 8 \, a b^{7}\right)} {\left| -a + b \right|}} + \frac{4 \, {\left({\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 8 \, e^{\left(d x + c\right)} - 8 \, e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a - b\right)}}}{8 \, d}"," ",0,"-1/8*(((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b)*(a - b)^2*abs(b) + 2*(sqrt(-b^2 + sqrt(a*b)*b)*a^3*b + 7*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^2 - 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^3)*abs(-a + b)*abs(b) + (sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b + 6*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^2 - 15*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^3 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^4)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b - b^2 + sqrt((a^2 - 2*a*b + b^2)*(a*b - b^2) + (a*b - b^2)^2))/(a*b - b^2)))/((a^5*b^3 + 5*a^4*b^4 - 21*a^3*b^5 + 23*a^2*b^6 - 8*a*b^7)*abs(-a + b)) + ((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b)*(a - b)^2*abs(b) + 2*(sqrt(-b^2 - sqrt(a*b)*b)*a^3*b + 7*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^2 - 8*sqrt(-b^2 - sqrt(a*b)*b)*a*b^3)*abs(-a + b)*abs(b) + (sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b + 6*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^2 - 15*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^3 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^4)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a*b - b^2 - sqrt((a^2 - 2*a*b + b^2)*(a*b - b^2) + (a*b - b^2)^2))/(a*b - b^2)))/((a^5*b^3 + 5*a^4*b^4 - 21*a^3*b^5 + 23*a^2*b^6 - 8*a*b^7)*abs(-a + b)) + 4*((e^(d*x + c) + e^(-d*x - c))^3 - 8*e^(d*x + c) - 8*e^(-d*x - c))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a - b)))/d","B",0
245,1,1050,0,0.543518," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{\frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left(a^{2} - a b\right)}^{2} {\left| b \right|} - {\left(3 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b + 20 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{2} - 31 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{3} + 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{4}\right)} {\left| -a^{2} + a b \right|} {\left| b \right|} + {\left(3 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b + 16 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{2} - 57 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} + 54 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4} - 16 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{5}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b - a b^{2} + \sqrt{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} {\left(a^{2} b - a b^{2}\right)} + {\left(a^{2} b - a b^{2}\right)}^{2}}}{a^{2} b - a b^{2}}}}\right)}{{\left(a^{6} b^{3} + 5 \, a^{5} b^{4} - 21 \, a^{4} b^{5} + 23 \, a^{3} b^{6} - 8 \, a^{2} b^{7}\right)} {\left| -a^{2} + a b \right|}} + \frac{{\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left(a^{2} - a b\right)}^{2} {\left| b \right|} - {\left(3 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b + 20 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{2} - 31 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{3} + 8 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{4}\right)} {\left| -a^{2} + a b \right|} {\left| b \right|} + {\left(3 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b + 16 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{2} - 57 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} + 54 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4} - 16 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{5}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b - a b^{2} - \sqrt{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} {\left(a^{2} b - a b^{2}\right)} + {\left(a^{2} b - a b^{2}\right)}^{2}}}{a^{2} b - a b^{2}}}}\right)}{{\left(a^{6} b^{3} + 5 \, a^{5} b^{4} - 21 \, a^{4} b^{5} + 23 \, a^{3} b^{6} - 8 \, a^{2} b^{7}\right)} {\left| -a^{2} + a b \right|}} - \frac{4 \, {\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 4 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 4 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a^{2} - a b\right)}}}{8 \, d}"," ",0,"-1/8*(((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*(a^2 - a*b)^2*abs(b) - (3*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b + 20*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^2 - 31*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^3 + 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^4)*abs(-a^2 + a*b)*abs(b) + (3*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b + 16*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^2 - 57*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 + 54*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4 - 16*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^5)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b - a*b^2 + sqrt((a^3 - 2*a^2*b + a*b^2)*(a^2*b - a*b^2) + (a^2*b - a*b^2)^2))/(a^2*b - a*b^2)))/((a^6*b^3 + 5*a^5*b^4 - 21*a^4*b^5 + 23*a^3*b^6 - 8*a^2*b^7)*abs(-a^2 + a*b)) + ((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*(a^2 - a*b)^2*abs(b) - (3*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b + 20*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^2 - 31*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^3 + 8*sqrt(-b^2 - sqrt(a*b)*b)*a*b^4)*abs(-a^2 + a*b)*abs(b) + (3*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b + 16*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^2 - 57*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 + 54*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4 - 16*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^5)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b - a*b^2 - sqrt((a^3 - 2*a^2*b + a*b^2)*(a^2*b - a*b^2) + (a^2*b - a*b^2)^2))/(a^2*b - a*b^2)))/((a^6*b^3 + 5*a^5*b^4 - 21*a^4*b^5 + 23*a^3*b^6 - 8*a^2*b^7)*abs(-a^2 + a*b)) - 4*(b*(e^(d*x + c) + e^(-d*x - c))^3 - 4*a*(e^(d*x + c) + e^(-d*x - c)) - 4*b*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a^2 - a*b)))/d","B",0
246,1,1112,0,0.395217," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{\frac{{\left({\left(5 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 36 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b - 32 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left(a^{3} - a^{2} b\right)}^{2} {\left| b \right|} - 2 \, {\left(3 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b + 19 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{2} - 38 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} + 16 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4}\right)} {\left| -a^{3} + a^{2} b \right|} {\left| b \right|} + {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{7} b + 6 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b^{2} - 15 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{3} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{4}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b - a^{2} b^{2} + \sqrt{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(a^{3} b - a^{2} b^{2}\right)} + {\left(a^{3} b - a^{2} b^{2}\right)}^{2}}}{a^{3} b - a^{2} b^{2}}}}\right)}{{\left(a^{8} b^{2} + 5 \, a^{7} b^{3} - 21 \, a^{6} b^{4} + 23 \, a^{5} b^{5} - 8 \, a^{4} b^{6}\right)} {\left| -a^{3} + a^{2} b \right|}} - \frac{{\left({\left(5 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 36 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b - 32 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left(a^{3} - a^{2} b\right)}^{2} {\left| b \right|} + 2 \, {\left(3 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b + 19 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{2} - 38 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} + 16 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4}\right)} {\left| -a^{3} + a^{2} b \right|} {\left| b \right|} + {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{7} b + 6 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b^{2} - 15 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{3} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{4}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b - a^{2} b^{2} - \sqrt{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(a^{3} b - a^{2} b^{2}\right)} + {\left(a^{3} b - a^{2} b^{2}\right)}^{2}}}{a^{3} b - a^{2} b^{2}}}}\right)}{{\left(a^{8} b^{2} + 5 \, a^{7} b^{3} - 21 \, a^{6} b^{4} + 23 \, a^{5} b^{5} - 8 \, a^{4} b^{6}\right)} {\left| -a^{3} + a^{2} b \right|}} - \frac{4 \, {\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)} {\left(a^{2} - a b\right)}} - \frac{4 \, \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right)}{a^{2}} + \frac{4 \, \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{a^{2}}}{8 \, d}"," ",0,"1/8*(((5*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 36*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b - 32*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*(a^3 - a^2*b)^2*abs(b) - 2*(3*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b + 19*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^2 - 38*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 + 16*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4)*abs(-a^3 + a^2*b)*abs(b) + (sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^7*b + 6*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b^2 - 15*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^3 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^4)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b - a^2*b^2 + sqrt((a^4 - 2*a^3*b + a^2*b^2)*(a^3*b - a^2*b^2) + (a^3*b - a^2*b^2)^2))/(a^3*b - a^2*b^2)))/((a^8*b^2 + 5*a^7*b^3 - 21*a^6*b^4 + 23*a^5*b^5 - 8*a^4*b^6)*abs(-a^3 + a^2*b)) - ((5*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 36*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b - 32*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*(a^3 - a^2*b)^2*abs(b) + 2*(3*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b + 19*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^2 - 38*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 + 16*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4)*abs(-a^3 + a^2*b)*abs(b) + (sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^7*b + 6*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b^2 - 15*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^3 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^4)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b - a^2*b^2 - sqrt((a^4 - 2*a^3*b + a^2*b^2)*(a^3*b - a^2*b^2) + (a^3*b - a^2*b^2)^2))/(a^3*b - a^2*b^2)))/((a^8*b^2 + 5*a^7*b^3 - 21*a^6*b^4 + 23*a^5*b^5 - 8*a^4*b^6)*abs(-a^3 + a^2*b)) - 4*(b*(e^(d*x + c) + e^(-d*x - c))^3 - 8*b*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)*(a^2 - a*b)) - 4*log(e^(d*x + c) + e^(-d*x - c) + 2)/a^2 + 4*log(e^(d*x + c) + e^(-d*x - c) - 2)/a^2)/d","B",0
247,1,149,0,1.981514," ","integrate(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{\frac{a b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 5 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a b}{{\left(a b^{2} - b^{3}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}} + \frac{2 \, {\left(d x + c\right)}}{b^{2}}}{2 \, d}"," ",0,"1/2*((a*b*e^(6*d*x + 6*c) - 8*a^2*e^(4*d*x + 4*c) + 3*a*b*e^(4*d*x + 4*c) - 5*a*b*e^(2*d*x + 2*c) + a*b)/((a*b^2 - b^3)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)) + 2*(d*x + c)/b^2)/d","A",0
248,1,153,0,1.381996," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{2 \, a e^{\left(6 \, d x + 6 \, c\right)} - b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b e^{\left(2 \, d x + 2 \, c\right)} + b}{2 \, {\left(a b - b^{2}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} d}"," ",0,"-1/2*(2*a*e^(6*d*x + 6*c) - b*e^(6*d*x + 6*c) - 8*a*e^(4*d*x + 4*c) + 3*b*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) - 3*b*e^(2*d*x + 2*c) + b)/((a*b - b^2)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)*d)","A",0
249,1,128,0,1.177237," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 5 \, b e^{\left(2 \, d x + 2 \, c\right)} + b}{2 \, {\left(a b - b^{2}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} d}"," ",0,"1/2*(b*e^(6*d*x + 6*c) - 8*a*e^(4*d*x + 4*c) + 3*b*e^(4*d*x + 4*c) - 5*b*e^(2*d*x + 2*c) + b)/((a*b - b^2)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)*d)","A",0
250,1,152,0,0.756121," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{2 \, a e^{\left(6 \, d x + 6 \, c\right)} - b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b e^{\left(2 \, d x + 2 \, c\right)} + b}{2 \, {\left(a^{2} - a b\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} d}"," ",0,"-1/2*(2*a*e^(6*d*x + 6*c) - b*e^(6*d*x + 6*c) - 8*a*e^(4*d*x + 4*c) + 3*b*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) - 3*b*e^(2*d*x + 2*c) + b)/((a^2 - a*b)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)*d)","A",0
251,1,127,0,0.227139," ","integrate(1/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","\frac{b e^{\left(6 \, d x + 6 \, c\right)} - 8 \, a e^{\left(4 \, d x + 4 \, c\right)} + 3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 5 \, b e^{\left(2 \, d x + 2 \, c\right)} + b}{2 \, {\left(a^{2} - a b\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} d}"," ",0,"1/2*(b*e^(6*d*x + 6*c) - 8*a*e^(4*d*x + 4*c) + 3*b*e^(4*d*x + 4*c) - 5*b*e^(2*d*x + 2*c) + b)/((a^2 - a*b)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)*d)","A",0
252,1,238,0,0.386744," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""giac"")","-\frac{6 \, a b e^{\left(8 \, d x + 8 \, c\right)} - 5 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 26 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 20 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 64 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} + 94 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 30 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 14 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 20 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a b - 5 \, b^{2}}{2 \, {\left(a^{3} - a^{2} b\right)} {\left(b e^{\left(10 \, d x + 10 \, c\right)} - 5 \, b e^{\left(8 \, d x + 8 \, c\right)} - 16 \, a e^{\left(6 \, d x + 6 \, c\right)} + 10 \, b e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a e^{\left(4 \, d x + 4 \, c\right)} - 10 \, b e^{\left(4 \, d x + 4 \, c\right)} + 5 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)} d}"," ",0,"-1/2*(6*a*b*e^(8*d*x + 8*c) - 5*b^2*e^(8*d*x + 8*c) - 26*a*b*e^(6*d*x + 6*c) + 20*b^2*e^(6*d*x + 6*c) - 64*a^2*e^(4*d*x + 4*c) + 94*a*b*e^(4*d*x + 4*c) - 30*b^2*e^(4*d*x + 4*c) - 14*a*b*e^(2*d*x + 2*c) + 20*b^2*e^(2*d*x + 2*c) + 4*a*b - 5*b^2)/((a^3 - a^2*b)*(b*e^(10*d*x + 10*c) - 5*b*e^(8*d*x + 8*c) - 16*a*e^(6*d*x + 6*c) + 10*b*e^(6*d*x + 6*c) + 16*a*e^(4*d*x + 4*c) - 10*b*e^(4*d*x + 4*c) + 5*b*e^(2*d*x + 2*c) - b)*d)","A",0
253,1,1089,0,2.043747," ","integrate(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b + 25 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{2} - 98 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{3} + 176 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{4} - \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b - 7 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{2} - 4 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{3} - 96 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{4}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b^{3} - 2 \, a b^{4} + b^{5} + \sqrt{{\left(a^{3} b^{2} - 3 \, a^{2} b^{3} + 3 \, a b^{4} - b^{5}\right)} {\left(a^{2} b^{3} - 2 \, a b^{4} + b^{5}\right)} + {\left(a^{2} b^{3} - 2 \, a b^{4} + b^{5}\right)}^{2}}}{a^{2} b^{3} - 2 \, a b^{4} + b^{5}}}}\right)}{a^{5} b^{5} + 5 \, a^{4} b^{6} - 21 \, a^{3} b^{7} + 23 \, a^{2} b^{8} - 8 \, a b^{9}} + \frac{{\left(5 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b + 25 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{2} - 98 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{3} + 176 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{4} - \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b - 7 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{2} - 4 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{3} - 96 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{4}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b^{3} - 2 \, a b^{4} + b^{5} - \sqrt{{\left(a^{3} b^{2} - 3 \, a^{2} b^{3} + 3 \, a b^{4} - b^{5}\right)} {\left(a^{2} b^{3} - 2 \, a b^{4} + b^{5}\right)} + {\left(a^{2} b^{3} - 2 \, a b^{4} + b^{5}\right)}^{2}}}{a^{2} b^{3} - 2 \, a b^{4} + b^{5}}}}\right)}{a^{5} b^{5} + 5 \, a^{4} b^{6} - 21 \, a^{3} b^{7} + 23 \, a^{2} b^{8} - 8 \, a b^{9}} - \frac{8 \, {\left(2 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 5 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 18 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 6 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 60 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 144 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 96 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 240 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 160 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 640 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 160 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 320 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)}}}{64 \, d}"," ",0,"1/64*((5*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b + 25*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^2 - 98*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^3 + 176*sqrt(-b^2 - sqrt(a*b)*b)*a*b^4 - sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b - 7*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^2 - 4*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^3 - 96*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^4)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b^3 - 2*a*b^4 + b^5 + sqrt((a^3*b^2 - 3*a^2*b^3 + 3*a*b^4 - b^5)*(a^2*b^3 - 2*a*b^4 + b^5) + (a^2*b^3 - 2*a*b^4 + b^5)^2))/(a^2*b^3 - 2*a*b^4 + b^5)))/(a^5*b^5 + 5*a^4*b^6 - 21*a^3*b^7 + 23*a^2*b^8 - 8*a*b^9) + (5*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b + 25*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^2 - 98*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^3 + 176*sqrt(-b^2 + sqrt(a*b)*b)*a*b^4 - sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b - 7*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^2 - 4*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^3 - 96*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^4)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b^3 - 2*a*b^4 + b^5 - sqrt((a^3*b^2 - 3*a^2*b^3 + 3*a*b^4 - b^5)*(a^2*b^3 - 2*a*b^4 + b^5) + (a^2*b^3 - 2*a*b^4 + b^5)^2))/(a^2*b^3 - 2*a*b^4 + b^5)))/(a^5*b^5 + 5*a^4*b^6 - 21*a^3*b^7 + 23*a^2*b^8 - 8*a*b^9) - 8*(2*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 5*b^3*(e^(d*x + c) + e^(-d*x - c))^7 - 18*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 + 6*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 60*b^3*(e^(d*x + c) + e^(-d*x - c))^5 + 144*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 - 96*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 240*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 160*a^3*(e^(d*x + c) + e^(-d*x - c)) - 640*a^2*b*(e^(d*x + c) + e^(-d*x - c)) + 160*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + 320*b^3*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^2*b^2 - 2*a*b^3 + b^4)))/d","B",0
254,1,1506,0,1.637337," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left({\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} + 5 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b - 24 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{2}\right)} {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)}^{2} {\left| b \right|} - {\left(\sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{2} + \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{3} - 45 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{4} + 83 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{5} - 40 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{6}\right)} {\left| a^{2} b - 2 \, a b^{2} + b^{3} \right|} {\left| b \right|} - 2 \, {\left(\sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{4} + 4 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{5} - 26 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{6} + 44 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{7} - 31 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{8} + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{9}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b^{2} - 2 \, a b^{3} + b^{4} + \sqrt{{\left(a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)}^{2}}}{a^{2} b^{2} - 2 \, a b^{3} + b^{4}}}}\right)}{{\left(a^{7} b^{5} + 3 \, a^{6} b^{6} - 30 \, a^{5} b^{7} + 70 \, a^{4} b^{8} - 75 \, a^{3} b^{9} + 39 \, a^{2} b^{10} - 8 \, a b^{11}\right)} {\left| a^{2} b - 2 \, a b^{2} + b^{3} \right|}} + \frac{3 \, {\left({\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} + 5 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b - 24 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{2}\right)} {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)}^{2} {\left| b \right|} - {\left(\sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{2} + \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{3} - 45 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{4} + 83 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{5} - 40 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{6}\right)} {\left| a^{2} b - 2 \, a b^{2} + b^{3} \right|} {\left| b \right|} - 2 \, {\left(\sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{4} + 4 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{5} - 26 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{6} + 44 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{7} - 31 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{8} + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{9}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{2} b^{2} - 2 \, a b^{3} + b^{4} - \sqrt{{\left(a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} + {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)}^{2}}}{a^{2} b^{2} - 2 \, a b^{3} + b^{4}}}}\right)}{{\left(a^{7} b^{5} + 3 \, a^{6} b^{6} - 30 \, a^{5} b^{7} + 70 \, a^{4} b^{8} - 75 \, a^{3} b^{9} + 39 \, a^{2} b^{10} - 8 \, a b^{11}\right)} {\left| a^{2} b - 2 \, a b^{2} + b^{3} \right|}} - \frac{4 \, {\left(3 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 9 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 44 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 140 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 16 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 288 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 688 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 192 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 896 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 1088 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)}}}{64 \, d}"," ",0,"-1/64*(3*((sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3 + 5*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b - 24*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^2)*(a^2*b - 2*a*b^2 + b^3)^2*abs(b) - (sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^2 + sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^3 - 45*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^4 + 83*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^5 - 40*sqrt(-b^2 - sqrt(a*b)*b)*a*b^6)*abs(a^2*b - 2*a*b^2 + b^3)*abs(b) - 2*(sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^4 + 4*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^5 - 26*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^6 + 44*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^7 - 31*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^8 + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^9)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b^2 - 2*a*b^3 + b^4 + sqrt((a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*(a^2*b^2 - 2*a*b^3 + b^4) + (a^2*b^2 - 2*a*b^3 + b^4)^2))/(a^2*b^2 - 2*a*b^3 + b^4)))/((a^7*b^5 + 3*a^6*b^6 - 30*a^5*b^7 + 70*a^4*b^8 - 75*a^3*b^9 + 39*a^2*b^10 - 8*a*b^11)*abs(a^2*b - 2*a*b^2 + b^3)) + 3*((sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3 + 5*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b - 24*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2)*(a^2*b - 2*a*b^2 + b^3)^2*abs(b) - (sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^2 + sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^3 - 45*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^4 + 83*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^5 - 40*sqrt(-b^2 + sqrt(a*b)*b)*a*b^6)*abs(a^2*b - 2*a*b^2 + b^3)*abs(b) - 2*(sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^4 + 4*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^5 - 26*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^6 + 44*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^7 - 31*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^8 + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^9)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^2*b^2 - 2*a*b^3 + b^4 - sqrt((a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*(a^2*b^2 - 2*a*b^3 + b^4) + (a^2*b^2 - 2*a*b^3 + b^4)^2))/(a^2*b^2 - 2*a*b^3 + b^4)))/((a^7*b^5 + 3*a^6*b^6 - 30*a^5*b^7 + 70*a^4*b^8 - 75*a^3*b^9 + 39*a^2*b^10 - 8*a*b^11)*abs(a^2*b - 2*a*b^2 + b^3)) - 4*(3*a*b*(e^(d*x + c) + e^(-d*x - c))^7 - 9*b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 44*a*b*(e^(d*x + c) + e^(-d*x - c))^5 + 140*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 16*a^2*(e^(d*x + c) + e^(-d*x - c))^3 + 288*a*b*(e^(d*x + c) + e^(-d*x - c))^3 - 688*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 192*a^2*(e^(d*x + c) + e^(-d*x - c)) - 896*a*b*(e^(d*x + c) + e^(-d*x - c)) + 1088*b^2*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^2*b - 2*a*b^2 + b^3)))/d","B",0
255,1,1793,0,1.427355," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)}^{2} {\left(2 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 17 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left| b \right|} + {\left(3 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b + \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{2} - 145 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{3} + 291 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{4} - 166 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{5} + 16 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{6}\right)} {\left| a^{3} b - 2 \, a^{2} b^{2} + a b^{3} \right|} {\left| b \right|} - {\left(3 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{8} b^{2} - \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{7} b^{3} - 126 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b^{4} + 486 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{5} - 769 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{6} + 603 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{7} - 228 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{8} + 32 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{9}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + \sqrt{{\left(a^{4} b - 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} - a b^{4}\right)} {\left(a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}\right)} + {\left(a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}\right)}^{2}}}{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}}}}\right)}{{\left(a^{8} b^{4} + 3 \, a^{7} b^{5} - 30 \, a^{6} b^{6} + 70 \, a^{5} b^{7} - 75 \, a^{4} b^{8} + 39 \, a^{3} b^{9} - 8 \, a^{2} b^{10}\right)} {\left| a^{3} b - 2 \, a^{2} b^{2} + a b^{3} \right|}} - \frac{{\left(2 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)}^{2} {\left(2 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 17 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left| b \right|} - {\left(3 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b + \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{2} - 145 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{3} + 291 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{4} - 166 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{5} + 16 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{6}\right)} {\left| a^{3} b - 2 \, a^{2} b^{2} + a b^{3} \right|} {\left| b \right|} - {\left(3 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{8} b^{2} - \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{7} b^{3} - 126 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b^{4} + 486 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{5} - 769 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{6} + 603 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{7} - 228 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{8} + 32 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{9}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} - \sqrt{{\left(a^{4} b - 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} - a b^{4}\right)} {\left(a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}\right)} + {\left(a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}\right)}^{2}}}{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}}}}\right)}{{\left(a^{8} b^{4} + 3 \, a^{7} b^{5} - 30 \, a^{6} b^{6} + 70 \, a^{5} b^{7} - 75 \, a^{4} b^{8} + 39 \, a^{3} b^{9} - 8 \, a^{2} b^{10}\right)} {\left| a^{3} b - 2 \, a^{2} b^{2} + a b^{3} \right|}} - \frac{8 \, {\left(2 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + 2 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 38 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 12 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 80 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 224 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 48 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 96 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 384 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 416 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 64 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)}}}{64 \, d}"," ",0,"-1/64*((2*(a^3*b - 2*a^2*b^2 + a*b^3)^2*(2*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 17*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*abs(b) + (3*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b + sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^2 - 145*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^3 + 291*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^4 - 166*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^5 + 16*sqrt(-b^2 - sqrt(a*b)*b)*a*b^6)*abs(a^3*b - 2*a^2*b^2 + a*b^3)*abs(b) - (3*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^8*b^2 - sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^7*b^3 - 126*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b^4 + 486*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^5 - 769*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^6 + 603*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^7 - 228*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^8 + 32*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^9)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b^2 - 2*a^2*b^3 + a*b^4 + sqrt((a^4*b - 3*a^3*b^2 + 3*a^2*b^3 - a*b^4)*(a^3*b^2 - 2*a^2*b^3 + a*b^4) + (a^3*b^2 - 2*a^2*b^3 + a*b^4)^2))/(a^3*b^2 - 2*a^2*b^3 + a*b^4)))/((a^8*b^4 + 3*a^7*b^5 - 30*a^6*b^6 + 70*a^5*b^7 - 75*a^4*b^8 + 39*a^3*b^9 - 8*a^2*b^10)*abs(a^3*b - 2*a^2*b^2 + a*b^3)) - (2*(a^3*b - 2*a^2*b^2 + a*b^3)^2*(2*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 17*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*abs(b) - (3*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b + sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^2 - 145*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^3 + 291*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^4 - 166*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^5 + 16*sqrt(-b^2 + sqrt(a*b)*b)*a*b^6)*abs(a^3*b - 2*a^2*b^2 + a*b^3)*abs(b) - (3*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^8*b^2 - sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^7*b^3 - 126*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b^4 + 486*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^5 - 769*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^6 + 603*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^7 - 228*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^8 + 32*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^9)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b^2 - 2*a^2*b^3 + a*b^4 - sqrt((a^4*b - 3*a^3*b^2 + 3*a^2*b^3 - a*b^4)*(a^3*b^2 - 2*a^2*b^3 + a*b^4) + (a^3*b^2 - 2*a^2*b^3 + a*b^4)^2))/(a^3*b^2 - 2*a^2*b^3 + a*b^4)))/((a^8*b^4 + 3*a^7*b^5 - 30*a^6*b^6 + 70*a^5*b^7 - 75*a^4*b^8 + 39*a^3*b^9 - 8*a^2*b^10)*abs(a^3*b - 2*a^2*b^2 + a*b^3)) - 8*(2*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 + b^3*(e^(d*x + c) + e^(-d*x - c))^7 + 2*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 - 38*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 - 12*b^3*(e^(d*x + c) + e^(-d*x - c))^5 - 80*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 + 224*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 + 48*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 96*a^3*(e^(d*x + c) + e^(-d*x - c)) + 384*a^2*b*(e^(d*x + c) + e^(-d*x - c)) - 416*a*b^2*(e^(d*x + c) + e^(-d*x - c)) - 64*b^3*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^3*b - 2*a^2*b^2 + a*b^3)))/d","B",0
256,1,1576,0,1.054067," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{\frac{{\left({\left(5 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} + 41 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{2}\right)} {\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)}^{2} {\left| b \right|} + {\left(13 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b + 77 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{2} - 201 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{3} + 119 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{4} - 8 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{5}\right)} {\left| a^{3} - 2 \, a^{2} b + a b^{2} \right|} {\left| b \right|} + 2 \, {\left(4 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{7} b + 15 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b^{2} - 108 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{3} + 202 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{4} - 168 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{5} + 63 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{6} - 8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{7}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b - 2 \, a^{2} b^{2} + a b^{3} + \sqrt{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)} + {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)}^{2}}}{a^{3} b - 2 \, a^{2} b^{2} + a b^{3}}}}\right)}{{\left(a^{8} b^{3} + 3 \, a^{7} b^{4} - 30 \, a^{6} b^{5} + 70 \, a^{5} b^{6} - 75 \, a^{4} b^{7} + 39 \, a^{3} b^{8} - 8 \, a^{2} b^{9}\right)} {\left| a^{3} - 2 \, a^{2} b + a b^{2} \right|}} + \frac{{\left({\left(5 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} + 41 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b + 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{2}\right)} {\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)}^{2} {\left| b \right|} + {\left(13 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b + 77 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{2} - 201 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{3} + 119 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{4} - 8 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{5}\right)} {\left| a^{3} - 2 \, a^{2} b + a b^{2} \right|} {\left| b \right|} + 2 \, {\left(4 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{7} b + 15 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b^{2} - 108 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{3} + 202 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{4} - 168 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{5} + 63 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{6} - 8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{7}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{3} b - 2 \, a^{2} b^{2} + a b^{3} - \sqrt{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)} + {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)}^{2}}}{a^{3} b - 2 \, a^{2} b^{2} + a b^{3}}}}\right)}{{\left(a^{8} b^{3} + 3 \, a^{7} b^{4} - 30 \, a^{6} b^{5} + 70 \, a^{5} b^{6} - 75 \, a^{4} b^{7} + 39 \, a^{3} b^{8} - 8 \, a^{2} b^{9}\right)} {\left| a^{3} - 2 \, a^{2} b + a b^{2} \right|}} + \frac{4 \, {\left(5 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} + b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 84 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 12 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 144 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 480 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 48 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 1216 \, a^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 1152 \, a b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 64 \, b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)}}}{64 \, d}"," ",0,"-1/64*(((5*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2 + 41*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^2)*(a^3 - 2*a^2*b + a*b^2)^2*abs(b) + (13*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b + 77*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^2 - 201*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^3 + 119*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^4 - 8*sqrt(-b^2 - sqrt(a*b)*b)*a*b^5)*abs(a^3 - 2*a^2*b + a*b^2)*abs(b) + 2*(4*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^7*b + 15*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b^2 - 108*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^3 + 202*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^4 - 168*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^5 + 63*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^6 - 8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^7)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b - 2*a^2*b^2 + a*b^3 + sqrt((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*(a^3*b - 2*a^2*b^2 + a*b^3) + (a^3*b - 2*a^2*b^2 + a*b^3)^2))/(a^3*b - 2*a^2*b^2 + a*b^3)))/((a^8*b^3 + 3*a^7*b^4 - 30*a^6*b^5 + 70*a^5*b^6 - 75*a^4*b^7 + 39*a^3*b^8 - 8*a^2*b^9)*abs(a^3 - 2*a^2*b + a*b^2)) + ((5*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2 + 41*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b + 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^2)*(a^3 - 2*a^2*b + a*b^2)^2*abs(b) + (13*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b + 77*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^2 - 201*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^3 + 119*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^4 - 8*sqrt(-b^2 + sqrt(a*b)*b)*a*b^5)*abs(a^3 - 2*a^2*b + a*b^2)*abs(b) + 2*(4*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^7*b + 15*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b^2 - 108*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^3 + 202*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^4 - 168*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^5 + 63*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^6 - 8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^7)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^3*b - 2*a^2*b^2 + a*b^3 - sqrt((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*(a^3*b - 2*a^2*b^2 + a*b^3) + (a^3*b - 2*a^2*b^2 + a*b^3)^2))/(a^3*b - 2*a^2*b^2 + a*b^3)))/((a^8*b^3 + 3*a^7*b^4 - 30*a^6*b^5 + 70*a^5*b^6 - 75*a^4*b^7 + 39*a^3*b^8 - 8*a^2*b^9)*abs(a^3 - 2*a^2*b + a*b^2)) + 4*(5*a*b*(e^(d*x + c) + e^(-d*x - c))^7 + b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 84*a*b*(e^(d*x + c) + e^(-d*x - c))^5 - 12*b^2*(e^(d*x + c) + e^(-d*x - c))^5 - 144*a^2*(e^(d*x + c) + e^(-d*x - c))^3 + 480*a*b*(e^(d*x + c) + e^(-d*x - c))^3 + 48*b^2*(e^(d*x + c) + e^(-d*x - c))^3 + 1216*a^2*(e^(d*x + c) + e^(-d*x - c)) - 1152*a*b*(e^(d*x + c) + e^(-d*x - c)) - 64*b^2*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^3 - 2*a^2*b + a*b^2)))/d","B",0
257,1,1125,0,0.869543," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(7 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b + 51 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{2} - 38 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{3} + 16 \, \sqrt{-b^{2} - \sqrt{a b} b} a b^{4} - 11 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b - 77 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b^{2} + 84 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{3} - 32 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{4}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3} + \sqrt{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}\right)} + {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}\right)}^{2}}}{a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}}}}\right)}{a^{7} b^{3} + 5 \, a^{6} b^{4} - 21 \, a^{5} b^{5} + 23 \, a^{4} b^{6} - 8 \, a^{3} b^{7}} + \frac{3 \, {\left(7 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b + 51 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{2} - 38 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{3} + 16 \, \sqrt{-b^{2} + \sqrt{a b} b} a b^{4} + 11 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b + 77 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b^{2} - 84 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{3} + 32 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{4}\right)} {\left| b \right|} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3} - \sqrt{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}\right)} + {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}\right)}^{2}}}{a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3}}}}\right)}{a^{7} b^{3} + 5 \, a^{6} b^{4} - 21 \, a^{5} b^{5} + 23 \, a^{4} b^{6} - 8 \, a^{3} b^{7}} + \frac{8 \, {\left(6 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 3 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 14 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 70 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 36 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 16 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 352 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 144 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 352 \, a^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 128 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 672 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 192 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)}}}{64 \, d}"," ",0,"1/64*(3*(7*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b + 51*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^2 - 38*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^3 + 16*sqrt(-b^2 - sqrt(a*b)*b)*a*b^4 - 11*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b - 77*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b^2 + 84*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^3 - 32*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^4)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^4*b - 2*a^3*b^2 + a^2*b^3 + sqrt((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*(a^4*b - 2*a^3*b^2 + a^2*b^3) + (a^4*b - 2*a^3*b^2 + a^2*b^3)^2))/(a^4*b - 2*a^3*b^2 + a^2*b^3)))/(a^7*b^3 + 5*a^6*b^4 - 21*a^5*b^5 + 23*a^4*b^6 - 8*a^3*b^7) + 3*(7*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b + 51*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^2 - 38*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^3 + 16*sqrt(-b^2 + sqrt(a*b)*b)*a*b^4 + 11*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b + 77*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b^2 - 84*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^3 + 32*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^4)*abs(b)*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^4*b - 2*a^3*b^2 + a^2*b^3 - sqrt((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*(a^4*b - 2*a^3*b^2 + a^2*b^3) + (a^4*b - 2*a^3*b^2 + a^2*b^3)^2))/(a^4*b - 2*a^3*b^2 + a^2*b^3)))/(a^7*b^3 + 5*a^6*b^4 - 21*a^5*b^5 + 23*a^4*b^6 - 8*a^3*b^7) + 8*(6*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 3*b^3*(e^(d*x + c) + e^(-d*x - c))^7 - 14*a^2*b*(e^(d*x + c) + e^(-d*x - c))^5 - 70*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 36*b^3*(e^(d*x + c) + e^(-d*x - c))^5 - 16*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 + 352*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 144*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 352*a^3*(e^(d*x + c) + e^(-d*x - c)) + 128*a^2*b*(e^(d*x + c) + e^(-d*x - c)) - 672*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + 192*b^3*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^4 - 2*a^3*b + a^2*b^2)))/d","B",0
258,1,1781,0,0.649827," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{\frac{{\left({\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)}^{2} {\left(45 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{3} + 289 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{2} b - 536 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a b^{2} + 256 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} b^{3}\right)} {\left| b \right|} - {\left(61 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{8} b + 285 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{7} b^{2} - 1369 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b^{3} + 1895 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{5} b^{4} - 1128 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{4} b^{5} + 256 \, \sqrt{-b^{2} - \sqrt{a b} b} a^{3} b^{6}\right)} {\left| a^{5} - 2 \, a^{4} b + a^{3} b^{2} \right|} {\left| b \right|} + 2 \, {\left(8 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{12} b + 27 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{11} b^{2} - 228 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{10} b^{3} + 482 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{9} b^{4} - 468 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{8} b^{5} + 219 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{7} b^{6} - 40 \, \sqrt{a b} \sqrt{-b^{2} - \sqrt{a b} b} a^{6} b^{7}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3} + \sqrt{{\left(a^{6} - 3 \, a^{5} b + 3 \, a^{4} b^{2} - a^{3} b^{3}\right)} {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}\right)} + {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}\right)}^{2}}}{a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}}}}\right)}{{\left(a^{12} b^{2} + 3 \, a^{11} b^{3} - 30 \, a^{10} b^{4} + 70 \, a^{9} b^{5} - 75 \, a^{8} b^{6} + 39 \, a^{7} b^{7} - 8 \, a^{6} b^{8}\right)} {\left| a^{5} - 2 \, a^{4} b + a^{3} b^{2} \right|}} - \frac{{\left({\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)}^{2} {\left(45 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{3} + 289 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{2} b - 536 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a b^{2} + 256 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} b^{3}\right)} {\left| b \right|} + {\left(61 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{8} b + 285 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{7} b^{2} - 1369 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b^{3} + 1895 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{5} b^{4} - 1128 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{4} b^{5} + 256 \, \sqrt{-b^{2} + \sqrt{a b} b} a^{3} b^{6}\right)} {\left| a^{5} - 2 \, a^{4} b + a^{3} b^{2} \right|} {\left| b \right|} + 2 \, {\left(8 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{12} b + 27 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{11} b^{2} - 228 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{10} b^{3} + 482 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{9} b^{4} - 468 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{8} b^{5} + 219 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{7} b^{6} - 40 \, \sqrt{a b} \sqrt{-b^{2} + \sqrt{a b} b} a^{6} b^{7}\right)} {\left| b \right|}\right)} \arctan\left(\frac{e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}}{2 \, \sqrt{-\frac{a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3} - \sqrt{{\left(a^{6} - 3 \, a^{5} b + 3 \, a^{4} b^{2} - a^{3} b^{3}\right)} {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}\right)} + {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}\right)}^{2}}}{a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3}}}}\right)}{{\left(a^{12} b^{2} + 3 \, a^{11} b^{3} - 30 \, a^{10} b^{4} + 70 \, a^{9} b^{5} - 75 \, a^{8} b^{6} + 39 \, a^{7} b^{7} - 8 \, a^{6} b^{8}\right)} {\left| a^{5} - 2 \, a^{4} b + a^{3} b^{2} \right|}} - \frac{4 \, {\left(13 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 7 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{7} - 212 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} + 116 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{5} - 272 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 1248 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} - 592 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{3} + 2240 \, a^{2} b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} - 3200 \, a b^{2} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 960 \, b^{3} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{4} - 8 \, b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 16 \, a + 16 \, b\right)}^{2} {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)}} - \frac{32 \, \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} + 2\right)}{a^{3}} + \frac{32 \, \log\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)} - 2\right)}{a^{3}}}{64 \, d}"," ",0,"1/64*(((a^5 - 2*a^4*b + a^3*b^2)^2*(45*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^3 + 289*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^2*b - 536*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a*b^2 + 256*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*b^3)*abs(b) - (61*sqrt(-b^2 - sqrt(a*b)*b)*a^8*b + 285*sqrt(-b^2 - sqrt(a*b)*b)*a^7*b^2 - 1369*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b^3 + 1895*sqrt(-b^2 - sqrt(a*b)*b)*a^5*b^4 - 1128*sqrt(-b^2 - sqrt(a*b)*b)*a^4*b^5 + 256*sqrt(-b^2 - sqrt(a*b)*b)*a^3*b^6)*abs(a^5 - 2*a^4*b + a^3*b^2)*abs(b) + 2*(8*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^12*b + 27*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^11*b^2 - 228*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^10*b^3 + 482*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^9*b^4 - 468*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^8*b^5 + 219*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^7*b^6 - 40*sqrt(a*b)*sqrt(-b^2 - sqrt(a*b)*b)*a^6*b^7)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^5*b - 2*a^4*b^2 + a^3*b^3 + sqrt((a^6 - 3*a^5*b + 3*a^4*b^2 - a^3*b^3)*(a^5*b - 2*a^4*b^2 + a^3*b^3) + (a^5*b - 2*a^4*b^2 + a^3*b^3)^2))/(a^5*b - 2*a^4*b^2 + a^3*b^3)))/((a^12*b^2 + 3*a^11*b^3 - 30*a^10*b^4 + 70*a^9*b^5 - 75*a^8*b^6 + 39*a^7*b^7 - 8*a^6*b^8)*abs(a^5 - 2*a^4*b + a^3*b^2)) - ((a^5 - 2*a^4*b + a^3*b^2)^2*(45*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^3 + 289*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^2*b - 536*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a*b^2 + 256*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*b^3)*abs(b) + (61*sqrt(-b^2 + sqrt(a*b)*b)*a^8*b + 285*sqrt(-b^2 + sqrt(a*b)*b)*a^7*b^2 - 1369*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b^3 + 1895*sqrt(-b^2 + sqrt(a*b)*b)*a^5*b^4 - 1128*sqrt(-b^2 + sqrt(a*b)*b)*a^4*b^5 + 256*sqrt(-b^2 + sqrt(a*b)*b)*a^3*b^6)*abs(a^5 - 2*a^4*b + a^3*b^2)*abs(b) + 2*(8*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^12*b + 27*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^11*b^2 - 228*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^10*b^3 + 482*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^9*b^4 - 468*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^8*b^5 + 219*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^7*b^6 - 40*sqrt(a*b)*sqrt(-b^2 + sqrt(a*b)*b)*a^6*b^7)*abs(b))*arctan(1/2*(e^(d*x + c) + e^(-d*x - c))/sqrt(-(a^5*b - 2*a^4*b^2 + a^3*b^3 - sqrt((a^6 - 3*a^5*b + 3*a^4*b^2 - a^3*b^3)*(a^5*b - 2*a^4*b^2 + a^3*b^3) + (a^5*b - 2*a^4*b^2 + a^3*b^3)^2))/(a^5*b - 2*a^4*b^2 + a^3*b^3)))/((a^12*b^2 + 3*a^11*b^3 - 30*a^10*b^4 + 70*a^9*b^5 - 75*a^8*b^6 + 39*a^7*b^7 - 8*a^6*b^8)*abs(a^5 - 2*a^4*b + a^3*b^2)) - 4*(13*a*b^2*(e^(d*x + c) + e^(-d*x - c))^7 - 7*b^3*(e^(d*x + c) + e^(-d*x - c))^7 - 212*a*b^2*(e^(d*x + c) + e^(-d*x - c))^5 + 116*b^3*(e^(d*x + c) + e^(-d*x - c))^5 - 272*a^2*b*(e^(d*x + c) + e^(-d*x - c))^3 + 1248*a*b^2*(e^(d*x + c) + e^(-d*x - c))^3 - 592*b^3*(e^(d*x + c) + e^(-d*x - c))^3 + 2240*a^2*b*(e^(d*x + c) + e^(-d*x - c)) - 3200*a*b^2*(e^(d*x + c) + e^(-d*x - c)) + 960*b^3*(e^(d*x + c) + e^(-d*x - c)))/((b*(e^(d*x + c) + e^(-d*x - c))^4 - 8*b*(e^(d*x + c) + e^(-d*x - c))^2 - 16*a + 16*b)^2*(a^4 - 2*a^3*b + a^2*b^2)) - 32*log(e^(d*x + c) + e^(-d*x - c) + 2)/a^3 + 32*log(e^(d*x + c) + e^(-d*x - c) - 2)/a^3)/d","B",0
259,1,389,0,3.347690," ","integrate(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 4 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 32 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 58 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 144 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 219 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 60 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 256 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 832 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 550 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 175 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 112 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 533 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 220 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 32 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 158 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 141 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 17 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 44 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} - 5 \, b^{3}}{8 \, {\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} d}"," ",0,"-1/8*(a*b^2*e^(14*d*x + 14*c) - 4*b^3*e^(14*d*x + 14*c) - 32*a^2*b*e^(12*d*x + 12*c) + 58*a*b^2*e^(12*d*x + 12*c) + b^3*e^(12*d*x + 12*c) + 144*a^2*b*e^(10*d*x + 10*c) - 219*a*b^2*e^(10*d*x + 10*c) + 60*b^3*e^(10*d*x + 10*c) + 256*a^3*e^(8*d*x + 8*c) - 832*a^2*b*e^(8*d*x + 8*c) + 550*a*b^2*e^(8*d*x + 8*c) - 175*b^3*e^(8*d*x + 8*c) + 112*a^2*b*e^(6*d*x + 6*c) - 533*a*b^2*e^(6*d*x + 6*c) + 220*b^3*e^(6*d*x + 6*c) - 32*a^2*b*e^(4*d*x + 4*c) + 158*a*b^2*e^(4*d*x + 4*c) - 141*b^3*e^(4*d*x + 4*c) - 17*a*b^2*e^(2*d*x + 2*c) + 44*b^3*e^(2*d*x + 2*c) + 2*a*b^2 - 5*b^3)/((a^2*b^2 - 2*a*b^3 + b^4)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2*d)","A",0
260,1,451,0,2.540103," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{4 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} - 13 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 3 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 24 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 99 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 21 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 64 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 68 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 225 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 63 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 384 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 96 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 183 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 105 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 64 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 452 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 9 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 105 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 120 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 87 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 63 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 37 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 21 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a b^{2} - 3 \, b^{3}}{16 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} d}"," ",0,"1/16*(4*a^2*b*e^(14*d*x + 14*c) - 13*a*b^2*e^(14*d*x + 14*c) + 3*b^3*e^(14*d*x + 14*c) - 24*a^2*b*e^(12*d*x + 12*c) + 99*a*b^2*e^(12*d*x + 12*c) - 21*b^3*e^(12*d*x + 12*c) + 64*a^3*e^(10*d*x + 10*c) + 68*a^2*b*e^(10*d*x + 10*c) - 225*a*b^2*e^(10*d*x + 10*c) + 63*b^3*e^(10*d*x + 10*c) - 384*a^3*e^(8*d*x + 8*c) - 96*a^2*b*e^(8*d*x + 8*c) + 183*a*b^2*e^(8*d*x + 8*c) - 105*b^3*e^(8*d*x + 8*c) - 64*a^3*e^(6*d*x + 6*c) - 452*a^2*b*e^(6*d*x + 6*c) + 9*a*b^2*e^(6*d*x + 6*c) + 105*b^3*e^(6*d*x + 6*c) + 120*a^2*b*e^(4*d*x + 4*c) - 87*a*b^2*e^(4*d*x + 4*c) - 63*b^3*e^(4*d*x + 4*c) - 4*a^2*b*e^(2*d*x + 2*c) + 37*a*b^2*e^(2*d*x + 2*c) + 21*b^3*e^(2*d*x + 2*c) - 3*a*b^2 - 3*b^3)/((a^3*b - 2*a^2*b^2 + a*b^3)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2*d)","A",0
261,1,362,0,1.710890," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{3 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 30 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 3 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 80 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 111 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 16 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 256 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 64 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 26 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 35 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 336 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 95 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 40 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 64 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 54 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 25 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 19 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 8 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} + b^{3}}{8 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} d}"," ",0,"1/8*(3*a*b^2*e^(14*d*x + 14*c) - 30*a*b^2*e^(12*d*x + 12*c) + 3*b^3*e^(12*d*x + 12*c) - 80*a^2*b*e^(10*d*x + 10*c) + 111*a*b^2*e^(10*d*x + 10*c) - 16*b^3*e^(10*d*x + 10*c) + 256*a^3*e^(8*d*x + 8*c) - 64*a^2*b*e^(8*d*x + 8*c) - 26*a*b^2*e^(8*d*x + 8*c) + 35*b^3*e^(8*d*x + 8*c) + 336*a^2*b*e^(6*d*x + 6*c) - 95*a*b^2*e^(6*d*x + 6*c) - 40*b^3*e^(6*d*x + 6*c) - 64*a^2*b*e^(4*d*x + 4*c) + 54*a*b^2*e^(4*d*x + 4*c) + 25*b^3*e^(4*d*x + 4*c) - 19*a*b^2*e^(2*d*x + 2*c) - 8*b^3*e^(2*d*x + 2*c) + 2*a*b^2 + b^3)/((a^3*b - 2*a^2*b^2 + a*b^3)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2*d)","A",0
262,1,449,0,1.002637," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{12 \, a^{2} b e^{\left(14 \, d x + 14 \, c\right)} - 11 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 5 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 104 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} + 85 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} - 35 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 320 \, a^{3} e^{\left(10 \, d x + 10 \, c\right)} + 652 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} - 407 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 105 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 1408 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 1696 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 865 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 175 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 320 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} + 756 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 849 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 175 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 248 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 383 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 105 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 12 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 77 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 35 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 11 \, a b^{2} - 5 \, b^{3}}{16 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} d}"," ",0,"-1/16*(12*a^2*b*e^(14*d*x + 14*c) - 11*a*b^2*e^(14*d*x + 14*c) + 5*b^3*e^(14*d*x + 14*c) - 104*a^2*b*e^(12*d*x + 12*c) + 85*a*b^2*e^(12*d*x + 12*c) - 35*b^3*e^(12*d*x + 12*c) - 320*a^3*e^(10*d*x + 10*c) + 652*a^2*b*e^(10*d*x + 10*c) - 407*a*b^2*e^(10*d*x + 10*c) + 105*b^3*e^(10*d*x + 10*c) + 1408*a^3*e^(8*d*x + 8*c) - 1696*a^2*b*e^(8*d*x + 8*c) + 865*a*b^2*e^(8*d*x + 8*c) - 175*b^3*e^(8*d*x + 8*c) + 320*a^3*e^(6*d*x + 6*c) + 756*a^2*b*e^(6*d*x + 6*c) - 849*a*b^2*e^(6*d*x + 6*c) + 175*b^3*e^(6*d*x + 6*c) - 248*a^2*b*e^(4*d*x + 4*c) + 383*a*b^2*e^(4*d*x + 4*c) - 105*b^3*e^(4*d*x + 4*c) - 12*a^2*b*e^(2*d*x + 2*c) - 77*a*b^2*e^(2*d*x + 2*c) + 35*b^3*e^(2*d*x + 2*c) + 11*a*b^2 - 5*b^3)/((a^4 - 2*a^3*b + a^2*b^2)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2*d)","A",0
263,1,391,0,0.278986," ","integrate(1/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","\frac{7 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 4 \, b^{3} e^{\left(14 \, d x + 14 \, c\right)} - 32 \, a^{2} b e^{\left(12 \, d x + 12 \, c\right)} - 2 \, a b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 7 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 16 \, a^{2} b e^{\left(10 \, d x + 10 \, c\right)} + 3 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 28 \, b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 768 \, a^{3} e^{\left(8 \, d x + 8 \, c\right)} - 960 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} + 498 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 105 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 784 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 723 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 140 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 160 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 266 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 91 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 55 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 28 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b^{2} - 3 \, b^{3}}{8 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} d}"," ",0,"1/8*(7*a*b^2*e^(14*d*x + 14*c) - 4*b^3*e^(14*d*x + 14*c) - 32*a^2*b*e^(12*d*x + 12*c) - 2*a*b^2*e^(12*d*x + 12*c) + 7*b^3*e^(12*d*x + 12*c) - 16*a^2*b*e^(10*d*x + 10*c) + 3*a*b^2*e^(10*d*x + 10*c) + 28*b^3*e^(10*d*x + 10*c) + 768*a^3*e^(8*d*x + 8*c) - 960*a^2*b*e^(8*d*x + 8*c) + 498*a*b^2*e^(8*d*x + 8*c) - 105*b^3*e^(8*d*x + 8*c) + 784*a^2*b*e^(6*d*x + 6*c) - 723*a*b^2*e^(6*d*x + 6*c) + 140*b^3*e^(6*d*x + 6*c) - 160*a^2*b*e^(4*d*x + 4*c) + 266*a*b^2*e^(4*d*x + 4*c) - 91*b^3*e^(4*d*x + 4*c) - 55*a*b^2*e^(2*d*x + 2*c) + 28*b^3*e^(2*d*x + 2*c) + 6*a*b^2 - 3*b^3)/((a^4 - 2*a^3*b + a^2*b^2)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2*d)","A",0
264,1,486,0,0.513702," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""giac"")","-\frac{\frac{28 \, a^{2} b^{2} e^{\left(14 \, d x + 14 \, c\right)} - 35 \, a b^{3} e^{\left(14 \, d x + 14 \, c\right)} + 13 \, b^{4} e^{\left(14 \, d x + 14 \, c\right)} - 232 \, a^{2} b^{2} e^{\left(12 \, d x + 12 \, c\right)} + 269 \, a b^{3} e^{\left(12 \, d x + 12 \, c\right)} - 91 \, b^{4} e^{\left(12 \, d x + 12 \, c\right)} - 576 \, a^{3} b e^{\left(10 \, d x + 10 \, c\right)} + 1372 \, a^{2} b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 1039 \, a b^{3} e^{\left(10 \, d x + 10 \, c\right)} + 273 \, b^{4} e^{\left(10 \, d x + 10 \, c\right)} + 2432 \, a^{3} b e^{\left(8 \, d x + 8 \, c\right)} - 3488 \, a^{2} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 1913 \, a b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 455 \, b^{4} e^{\left(8 \, d x + 8 \, c\right)} + 576 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 1060 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 1689 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 455 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} - 376 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 679 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 273 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 28 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 117 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 91 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 19 \, a b^{3} - 13 \, b^{4}}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a e^{\left(4 \, d x + 4 \, c\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)} - 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}} + \frac{32}{a^{3} {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}}{16 \, d}"," ",0,"-1/16*((28*a^2*b^2*e^(14*d*x + 14*c) - 35*a*b^3*e^(14*d*x + 14*c) + 13*b^4*e^(14*d*x + 14*c) - 232*a^2*b^2*e^(12*d*x + 12*c) + 269*a*b^3*e^(12*d*x + 12*c) - 91*b^4*e^(12*d*x + 12*c) - 576*a^3*b*e^(10*d*x + 10*c) + 1372*a^2*b^2*e^(10*d*x + 10*c) - 1039*a*b^3*e^(10*d*x + 10*c) + 273*b^4*e^(10*d*x + 10*c) + 2432*a^3*b*e^(8*d*x + 8*c) - 3488*a^2*b^2*e^(8*d*x + 8*c) + 1913*a*b^3*e^(8*d*x + 8*c) - 455*b^4*e^(8*d*x + 8*c) + 576*a^3*b*e^(6*d*x + 6*c) + 1060*a^2*b^2*e^(6*d*x + 6*c) - 1689*a*b^3*e^(6*d*x + 6*c) + 455*b^4*e^(6*d*x + 6*c) - 376*a^2*b^2*e^(4*d*x + 4*c) + 679*a*b^3*e^(4*d*x + 4*c) - 273*b^4*e^(4*d*x + 4*c) - 28*a^2*b^2*e^(2*d*x + 2*c) - 117*a*b^3*e^(2*d*x + 2*c) + 91*b^4*e^(2*d*x + 2*c) + 19*a*b^3 - 13*b^4)/((a^5 - 2*a^4*b + a^3*b^2)*(b*e^(8*d*x + 8*c) - 4*b*e^(6*d*x + 6*c) - 16*a*e^(4*d*x + 4*c) + 6*b*e^(4*d*x + 4*c) - 4*b*e^(2*d*x + 2*c) + b)^2) + 32/(a^3*(e^(2*d*x + 2*c) - 1)))/d","A",0
265,1,48,0,0.122285," ","integrate(1/(1-sinh(x)^4),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - \frac{1}{e^{\left(2 \, x\right)} + 1}"," ",0,"-1/8*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - 1/(e^(2*x) + 1)","B",0
266,1,281,0,0.198171," ","integrate(1/(1+sinh(x)^4),x, algorithm=""giac"")","\left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} - 2} {\left(-\frac{i}{\sqrt{2} - 1} + 1\right)} \log\left(\left(20 i + 10\right) \, \sqrt{2} e^{\left(2 \, x\right)} + 10 \, \sqrt{2} \sqrt{10 \, \sqrt{2} + 14} - 50 \, \sqrt{2} - \left(2 i - 14\right) \, \sqrt{10 \, \sqrt{2} + 14} + \left(28 i + 14\right) \, e^{\left(2 \, x\right)} - 70\right) - \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} - 2} {\left(-\frac{i}{\sqrt{2} - 1} + 1\right)} \log\left(\left(20 i + 10\right) \, \sqrt{2} e^{\left(2 \, x\right)} - 10 \, \sqrt{2} \sqrt{10 \, \sqrt{2} + 14} - 50 \, \sqrt{2} + \left(2 i - 14\right) \, \sqrt{10 \, \sqrt{2} + 14} + \left(28 i + 14\right) \, e^{\left(2 \, x\right)} - 70\right) + \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} + 2} {\left(-\frac{i}{\sqrt{2} + 1} + 1\right)} \log\left(2 \, \sqrt{2} e^{\left(2 \, x\right)} + 2 \, \sqrt{2} \sqrt{2 \, \sqrt{2} - 2} - \left(4 i + 2\right) \, \sqrt{2} + \left(2 i - 2\right) \, \sqrt{2 \, \sqrt{2} - 2} - 2 \, e^{\left(2 \, x\right)} + 4 i + 2\right) - \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} + 2} {\left(-\frac{i}{\sqrt{2} + 1} + 1\right)} \log\left(2 \, \sqrt{2} e^{\left(2 \, x\right)} - 2 \, \sqrt{2} \sqrt{2 \, \sqrt{2} - 2} - \left(4 i + 2\right) \, \sqrt{2} - \left(2 i - 2\right) \, \sqrt{2 \, \sqrt{2} - 2} - 2 \, e^{\left(2 \, x\right)} + 4 i + 2\right)"," ",0,"(1/16*I + 1/16)*sqrt(2*sqrt(2) - 2)*(-I/(sqrt(2) - 1) + 1)*log((20*I + 10)*sqrt(2)*e^(2*x) + 10*sqrt(2)*sqrt(10*sqrt(2) + 14) - 50*sqrt(2) - (2*I - 14)*sqrt(10*sqrt(2) + 14) + (28*I + 14)*e^(2*x) - 70) - (1/16*I + 1/16)*sqrt(2*sqrt(2) - 2)*(-I/(sqrt(2) - 1) + 1)*log((20*I + 10)*sqrt(2)*e^(2*x) - 10*sqrt(2)*sqrt(10*sqrt(2) + 14) - 50*sqrt(2) + (2*I - 14)*sqrt(10*sqrt(2) + 14) + (28*I + 14)*e^(2*x) - 70) + (1/16*I + 1/16)*sqrt(2*sqrt(2) + 2)*(-I/(sqrt(2) + 1) + 1)*log(2*sqrt(2)*e^(2*x) + 2*sqrt(2)*sqrt(2*sqrt(2) - 2) - (4*I + 2)*sqrt(2) + (2*I - 2)*sqrt(2*sqrt(2) - 2) - 2*e^(2*x) + 4*I + 2) - (1/16*I + 1/16)*sqrt(2*sqrt(2) + 2)*(-I/(sqrt(2) + 1) + 1)*log(2*sqrt(2)*e^(2*x) - 2*sqrt(2)*sqrt(2*sqrt(2) - 2) - (4*I + 2)*sqrt(2) - (2*I - 2)*sqrt(2*sqrt(2) - 2) - 2*e^(2*x) + 4*I + 2)","C",0
267,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x)^5),x, algorithm=""giac"")","\int \frac{1}{b \sinh\left(x\right)^{5} + a}\,{d x}"," ",0,"integrate(1/(b*sinh(x)^5 + a), x)","F",0
268,1,1,0,0.352418," ","integrate(1/(a+b*sinh(x)^6),x, algorithm=""giac"")","0"," ",0,"0","A",0
269,1,1,0,0.796531," ","integrate(1/(a+b*sinh(x)^8),x, algorithm=""giac"")","0"," ",0,"0","A",0
270,1,5246,0,2.864479," ","integrate(1/(1+sinh(x)^5),x, algorithm=""giac"")","-\frac{8}{25} \cdot 5^{\frac{3}{4}} \sqrt{-\frac{1}{32} \, \sqrt{5} + \frac{5}{64}} \arctan\left(\frac{2 \, {\left(4789310072875935951200 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} - 1799745554293062228687680 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} - 325914041979902244813289 \cdot 5^{\frac{3}{4}} - 10520606548600849190560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 265033340677886980055183 \, \sqrt{5} + 4025305730691667696322880 \, \sqrt{-2 \, \sqrt{5} + 5} + 728855245658450343948919 \cdot 5^{\frac{1}{4}} - 1637333558120632636 \, e^{x} - 592460559708252630357201\right)}}{9202754427496321314406 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 1038239983143393667165790 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 186591807316241026405751 \cdot 5^{\frac{3}{4}} - 20768219695320392550210 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 576155331981489353033147 \, \sqrt{5} - 2322370119525925506249090 \, \sqrt{-2 \, \sqrt{5} + 5} - 417362544266571988465273 \cdot 5^{\frac{1}{4}} - 1288784580381451028672113}\right) + \frac{8}{25} \cdot 5^{\frac{3}{4}} \sqrt{-\frac{1}{32} \, \sqrt{5} + \frac{5}{64}} \arctan\left(\frac{2 \, {\left(4315023771046590689440 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 16512422419052472973244480 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 2991559181950156635096041 \cdot 5^{\frac{3}{4}} - 11415488961128059998560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 476470546695231758102799 \, \sqrt{5} - 36931036359499378163241280 \, \sqrt{-2 \, \sqrt{5} + 5} - 6690300251147369625285239 \cdot 5^{\frac{1}{4}} - 1637333558120632636 \, e^{x} - 1067630744269504182665681\right)}}{537689066142690749994 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 45162997328032147105966190 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 8186257622186710975158757 \cdot 5^{\frac{3}{4}} - 5838120100393683185390 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 603739022767920301057079 \, \sqrt{5} - 101008886798639244060001970 \, \sqrt{-2 \, \sqrt{5} + 5} - 18307539608818658210592747 \cdot 5^{\frac{1}{4}} - 1355343042548851351155477}\right) - \frac{1}{10} \, \sqrt{\sqrt{5} + 2} \log\left({\left(302427386195713850867712 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 172815649254693629067264 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 226820539646785388150784 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 151213693097856925433856 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 70881418639620433797120 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 56705134911696347037696 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 11813569773270072299520 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 11813569773270072299520 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1107522166244069278080 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 1476696221658759037440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 55376108312203463904 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 110752216624406927808 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 1153668923170905498 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 4614675692683621992 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 82404923083636107 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 622619531678741564620800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 415079687785827709747200 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 389137207299213477888000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 311309765839370782310400 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 97284301824803369472000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 97284301824803369472000 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 12160537728100421184000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 16214050304133894912000 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 760033608006276324000 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 1520067216012552648000 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 19000840200156908100 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 76003360800627632400 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1583403350013075675 \, {\left(\sqrt{5} + 2\right)}^{3} - 3464303003906522746101760 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 2015373937635933569712128 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 1732151501953261373050880 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 1259608711022458481070080 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 324778406616236507447040 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 314902177755614620267520 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 27064867218019708953920 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 39362772219451827533440 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 845777100563115904810 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 2460173263715739220840 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 61504331592893480521 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 3959703717250098693214208 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2662579692919387100254208 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} + 1484888893968787009955328 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 1331289846459693550127104 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} + 185611111746098376244416 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 249616846211192540648832 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} + 7733796322754099010184 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 20801403850932711720736 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 650043870341647241273 \, {\left(\sqrt{5} + 2\right)}^{2} + 10991940456909382283282816 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 8567053742081103206220288 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2747985114227345570820704 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3212645153280413702332608 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 171749069639209098176294 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 401580644160051712791576 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 16732526840002154699649 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 2557269775899525489493536 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} - 319658721987440686186692 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 39842775211562571442672 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} - 3308326863346966249269767 \, \sqrt{5} - 4580301686563984868886360 \, \sqrt{2 \, \sqrt{5} + 5} - 572537710820498108610795 \, \sqrt{\sqrt{5} + 2} + 2850824269841065226382633\right)}^{2} + 64 \, {\left(24322822501240781930496 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 13898755714994732531712 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 18242116875930586447872 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 12161411250620390965248 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 5700661523728308264960 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 4560529218982646611968 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 950110253954718044160 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 950110253954718044160 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 89072836308254816640 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 118763781744339755520 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 4453641815412740832 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 8907283630825481664 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 92784204487765434 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 371136817951061736 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 6627443177697531 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 13726081827177108602880 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 9150721218118072401920 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 8578801141985692876800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 6863040913588554301440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 2144700285496423219200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2144700285496423219200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 268087535687052902400 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 357450047582737203200 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 16755470980440806400 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 33510941960881612800 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 418886774511020160 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1675547098044080640 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 34907231209251680 \, {\left(\sqrt{5} + 2\right)}^{3} - 323167802334835240755200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 197727185614766237777920 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 161583901167417620377600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 123579491009228898611200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 30296981468890803820800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 30894872752307224652800 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2524748455740900318400 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 3861859094038403081600 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 78898389241903134950 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 241366193377400192600 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 6034154834435004815 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 100890523270644033265664 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} - 129486527077263009521664 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} - 37833946226491512474624 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} - 64743263538631504760832 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 4729243278311439059328 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} - 12139361913493407142656 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 197051803262976627472 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 1011613492791117261888 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 31612921649722414434 \, {\left(\sqrt{5} + 2\right)}^{2} + 976056667738889843134336 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 737459612988335241742848 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 244014166934722460783584 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 276547354870625715653568 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 15250885433420153798974 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 34568419358828214456696 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 1440350806617842269029 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 865777074090951821677952 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} + 108222134261368977709744 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 403147498761313336459456 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3399014754330436228284234 \, \sqrt{5} + 1479783698747530204584760 \, \sqrt{2 \, \sqrt{5} + 5} + 184972962343441275573095 \, \sqrt{\sqrt{5} + 2} - 131291208062174938773104 \, e^{x} + 8700694617036282266881102\right)}^{2}\right) + \frac{1}{10} \, \sqrt{\sqrt{5} + 2} \log\left({\left(296777725783310857666560 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 169587271876177632952320 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 222583294337483143249920 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 148388862891655428833280 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 69557279480463482265600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 55645823584370785812480 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 11592879913410580377600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 11592879913410580377600 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1086832491882241910400 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 1449109989176322547200 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 54341624594112095520 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 108683249188224191040 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 1132117179044001990 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 4528468716176007960 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 80865512788857285 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 562345414061023649464320 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 374896942707349099642880 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 351465883788139780915200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 281172707030511824732160 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 87866470947034945228800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 87866470947034945228800 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 10983308868379368153600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 14644411824505824204800 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 686456804273710509600 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 1372913608547421019200 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 17161420106842762740 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 68645680427371050960 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1430118342236896895 \, {\left(\sqrt{5} + 2\right)}^{3} - 3521311589437476455997440 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 2075104957091704020631552 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 1760655794718738227998720 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 1296940598182315012894720 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 330122961509763417749760 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 324235149545578753223680 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 27510246792480284812480 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 40529393693197344152960 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 859695212265008900390 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 2533087105824834009560 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 63327177645620850239 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 3427066584376513776799744 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2255513638416047840415744 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} + 1285149969141192666299904 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 1127756819208023920207872 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} + 160643746142649083287488 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 211454403601504485038976 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} + 6693489422610378470312 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 17621200300125373753248 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 550662509378917929789 \, {\left(\sqrt{5} + 2\right)}^{2} + 11519381554046905848481408 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 9181179291975798227910144 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2879845388511726462120352 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3442942234490924335466304 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 179990336781982903882522 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 430367779311365541933288 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 17931990804640230913887 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 1493985186915806421972384 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} - 186748148364475802746548 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 397187773282286465287728 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} - 590811650205465011212999 \, \sqrt{5} - 4784256889606509508420584 \, \sqrt{2 \, \sqrt{5} + 5} - 598032111200813688552573 \, \sqrt{\sqrt{5} + 2} + 9613265583240077072561069\right)}^{2} + 64 \, {\left(28094736647526843678720 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 16054135227158196387840 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 21071052485645132759040 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 14047368323763421839360 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 6584703901764103987200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 5267763121411283189760 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 1097450650294017331200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1097450650294017331200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 102885998465064124800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 137181331286752166400 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 5144299923253206240 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 10288599846506412480 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 107172915067775130 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 428691660271100520 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 7655208219126795 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 20755836954363830992896 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 13837224636242553995264 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 12972398096477394370560 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 10377918477181915496448 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 3243099524119348592640 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 3243099524119348592640 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 405387440514918574080 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 540516587353224765440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 25336715032182410880 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 50673430064364821760 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 633417875804560272 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 2533671503218241088 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 52784822983713356 \, {\left(\sqrt{5} + 2\right)}^{3} - 363528280045460787978240 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 220585782417551521185792 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 181764140022730393989120 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 137866114010969700741120 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 34080776254261948872960 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 34466528502742425185280 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2840064687855162406080 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 4308316062842803148160 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 88752021495473825190 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 269269753927675196760 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 6731743848191879919 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 70364981699301709291520 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} - 113606308687559690526720 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} - 26386868137238140984320 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} - 56803154343779845263360 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 3298358517154767623040 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} - 10650591439458720986880 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 137431604881448650960 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 887549286621560082240 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 27735915206923752570 \, {\left(\sqrt{5} + 2\right)}^{2} + 1084940669680612606048128 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 811441742157208365935104 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 271235167420153151512032 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 304290653308953137225664 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 16952197963759571969502 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 38036331663619142153208 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 1584847152650797589717 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 916330240481116591230464 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} + 114541280060139573903808 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 438878646396292635288832 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3690050822522820384588494 \, \sqrt{5} + 1591445182365082778211384 \, \sqrt{2 \, \sqrt{5} + 5} + 198930647795635347276423 \, \sqrt{\sqrt{5} + 2} + 131291208062174938773104 \, e^{x} + 9240055035301648563405942\right)}^{2}\right) + \frac{1}{10} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, e^{x} + 2 \right|}}{2 \, {\left(\sqrt{2} + e^{x} + 1\right)}}\right) - \frac{1}{10} \cdot 5^{\frac{1}{4}} \log\left(6400 \, {\left(9202754427496321314406 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 1038239983143393667165790 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 186591807316241026405751 \cdot 5^{\frac{3}{4}} - 20768219695320392550210 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 576155331981489353033147 \, \sqrt{5} - 2322370119525925506249090 \, \sqrt{-2 \, \sqrt{5} + 5} - 417362544266571988465273 \cdot 5^{\frac{1}{4}} - 1288784580381451028672113\right)}^{2} + 25600 \, {\left(4789310072875935951200 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} - 1799745554293062228687680 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} - 325914041979902244813289 \cdot 5^{\frac{3}{4}} - 10520606548600849190560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 265033340677886980055183 \, \sqrt{5} + 4025305730691667696322880 \, \sqrt{-2 \, \sqrt{5} + 5} + 728855245658450343948919 \cdot 5^{\frac{1}{4}} - 1637333558120632636 \, e^{x} - 592460559708252630357201\right)}^{2}\right) + \frac{1}{10} \cdot 5^{\frac{1}{4}} \log\left(25600 \, {\left(4315023771046590689440 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 16512422419052472973244480 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 2991559181950156635096041 \cdot 5^{\frac{3}{4}} - 11415488961128059998560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 476470546695231758102799 \, \sqrt{5} - 36931036359499378163241280 \, \sqrt{-2 \, \sqrt{5} + 5} - 6690300251147369625285239 \cdot 5^{\frac{1}{4}} - 1637333558120632636 \, e^{x} - 1067630744269504182665681\right)}^{2} + 6400 \, {\left(537689066142690749994 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 45162997328032147105966190 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 8186257622186710975158757 \cdot 5^{\frac{3}{4}} - 5838120100393683185390 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 603739022767920301057079 \, \sqrt{5} - 101008886798639244060001970 \, \sqrt{-2 \, \sqrt{5} + 5} - 18307539608818658210592747 \cdot 5^{\frac{1}{4}} - 1355343042548851351155477\right)}^{2}\right) - \frac{\sqrt{2 \, \sqrt{5} + 5} \arctan\left(-\frac{110641272 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 475726088 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 10105915139 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 16180495104 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 284235586966 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} - 13398309260 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 4747850205816 \, \sqrt{5} - 2373925102908 \, \sqrt{2 \, \sqrt{5} + 5} - 2373925102908 \, \sqrt{\sqrt{5} + 2} - 759635933456 \, e^{x} - 1242609575248}{256556994 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 892031217 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 25195966133 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 28952708158 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 709750301398 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} + 80692042496 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 11068354399432 \, \sqrt{5} - 5534177199716 \, \sqrt{2 \, \sqrt{5} + 5} - 5534177199716 \, \sqrt{\sqrt{5} + 2} - 3881375121088}\right)}{5 \, \sqrt{\sqrt{5} + 2}} + \frac{\sqrt{2 \, \sqrt{5} + 5} \arctan\left(-\frac{83633448 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 442112756 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 7188799155 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 18979817940 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 194564340278 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} - 178069044908 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 2862929298552 \, \sqrt{5} - 1431464649276 \, \sqrt{2 \, \sqrt{5} + 5} - 1431464649276 \, \sqrt{\sqrt{5} + 2} + 759635933456 \, e^{x} - 101449315520}{82684590 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 41690029 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 10052928883 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} - 3266507166 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 302724737258 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} + 148206122616 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 4842785241848 \, \sqrt{5} - 2421392620924 \, \sqrt{2 \, \sqrt{5} + 5} - 2421392620924 \, \sqrt{\sqrt{5} + 2} - 511077100176}\right)}{5 \, \sqrt{\sqrt{5} + 2}}"," ",0,"-8/25*5^(3/4)*sqrt(-1/32*sqrt(5) + 5/64)*arctan(2*(4789310072875935951200*5^(3/4)*sqrt(-2*sqrt(5) + 5) - 1799745554293062228687680*sqrt(5)*sqrt(-2*sqrt(5) + 5) - 325914041979902244813289*5^(3/4) - 10520606548600849190560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 265033340677886980055183*sqrt(5) + 4025305730691667696322880*sqrt(-2*sqrt(5) + 5) + 728855245658450343948919*5^(1/4) - 1637333558120632636*e^x - 592460559708252630357201)/(9202754427496321314406*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 1038239983143393667165790*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 186591807316241026405751*5^(3/4) - 20768219695320392550210*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 576155331981489353033147*sqrt(5) - 2322370119525925506249090*sqrt(-2*sqrt(5) + 5) - 417362544266571988465273*5^(1/4) - 1288784580381451028672113)) + 8/25*5^(3/4)*sqrt(-1/32*sqrt(5) + 5/64)*arctan(2*(4315023771046590689440*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 16512422419052472973244480*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 2991559181950156635096041*5^(3/4) - 11415488961128059998560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 476470546695231758102799*sqrt(5) - 36931036359499378163241280*sqrt(-2*sqrt(5) + 5) - 6690300251147369625285239*5^(1/4) - 1637333558120632636*e^x - 1067630744269504182665681)/(537689066142690749994*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 45162997328032147105966190*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 8186257622186710975158757*5^(3/4) - 5838120100393683185390*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 603739022767920301057079*sqrt(5) - 101008886798639244060001970*sqrt(-2*sqrt(5) + 5) - 18307539608818658210592747*5^(1/4) - 1355343042548851351155477)) - 1/10*sqrt(sqrt(5) + 2)*log((302427386195713850867712*sqrt(5)*(2*sqrt(5) + 5)^3 + 172815649254693629067264*(2*sqrt(5) + 5)^(7/2) + 226820539646785388150784*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 151213693097856925433856*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 70881418639620433797120*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 56705134911696347037696*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 11813569773270072299520*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 11813569773270072299520*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 1107522166244069278080*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 1476696221658759037440*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 55376108312203463904*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 110752216624406927808*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 1153668923170905498*sqrt(5)*(sqrt(5) + 2)^3 + 4614675692683621992*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 82404923083636107*(sqrt(5) + 2)^(7/2) - 622619531678741564620800*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 415079687785827709747200*(2*sqrt(5) + 5)^3 - 389137207299213477888000*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 311309765839370782310400*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 97284301824803369472000*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 97284301824803369472000*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 12160537728100421184000*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 16214050304133894912000*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 760033608006276324000*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 1520067216012552648000*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 19000840200156908100*sqrt(5)*(sqrt(5) + 2)^(5/2) - 76003360800627632400*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 1583403350013075675*(sqrt(5) + 2)^3 - 3464303003906522746101760*sqrt(5)*(2*sqrt(5) + 5)^2 - 2015373937635933569712128*(2*sqrt(5) + 5)^(5/2) - 1732151501953261373050880*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 1259608711022458481070080*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 324778406616236507447040*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 314902177755614620267520*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 27064867218019708953920*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 39362772219451827533440*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 845777100563115904810*sqrt(5)*(sqrt(5) + 2)^2 - 2460173263715739220840*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 61504331592893480521*(sqrt(5) + 2)^(5/2) + 3959703717250098693214208*sqrt(5)*(2*sqrt(5) + 5)^(3/2) + 2662579692919387100254208*(2*sqrt(5) + 5)^2 + 1484888893968787009955328*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 1331289846459693550127104*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) + 185611111746098376244416*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 249616846211192540648832*(2*sqrt(5) + 5)*(sqrt(5) + 2) + 7733796322754099010184*sqrt(5)*(sqrt(5) + 2)^(3/2) + 20801403850932711720736*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) + 650043870341647241273*(sqrt(5) + 2)^2 + 10991940456909382283282816*sqrt(5)*(2*sqrt(5) + 5) + 8567053742081103206220288*(2*sqrt(5) + 5)^(3/2) + 2747985114227345570820704*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3212645153280413702332608*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 171749069639209098176294*sqrt(5)*(sqrt(5) + 2) + 401580644160051712791576*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 16732526840002154699649*(sqrt(5) + 2)^(3/2) - 2557269775899525489493536*sqrt(5)*sqrt(2*sqrt(5) + 5) - 319658721987440686186692*sqrt(5)*sqrt(sqrt(5) + 2) + 39842775211562571442672*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 3308326863346966249269767*sqrt(5) - 4580301686563984868886360*sqrt(2*sqrt(5) + 5) - 572537710820498108610795*sqrt(sqrt(5) + 2) + 2850824269841065226382633)^2 + 64*(24322822501240781930496*sqrt(5)*(2*sqrt(5) + 5)^3 + 13898755714994732531712*(2*sqrt(5) + 5)^(7/2) + 18242116875930586447872*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 12161411250620390965248*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 5700661523728308264960*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 4560529218982646611968*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 950110253954718044160*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 950110253954718044160*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 89072836308254816640*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 118763781744339755520*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 4453641815412740832*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 8907283630825481664*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 92784204487765434*sqrt(5)*(sqrt(5) + 2)^3 + 371136817951061736*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 6627443177697531*(sqrt(5) + 2)^(7/2) - 13726081827177108602880*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 9150721218118072401920*(2*sqrt(5) + 5)^3 - 8578801141985692876800*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 6863040913588554301440*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 2144700285496423219200*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2144700285496423219200*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 268087535687052902400*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 357450047582737203200*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 16755470980440806400*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 33510941960881612800*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 418886774511020160*sqrt(5)*(sqrt(5) + 2)^(5/2) - 1675547098044080640*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 34907231209251680*(sqrt(5) + 2)^3 - 323167802334835240755200*sqrt(5)*(2*sqrt(5) + 5)^2 - 197727185614766237777920*(2*sqrt(5) + 5)^(5/2) - 161583901167417620377600*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 123579491009228898611200*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 30296981468890803820800*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 30894872752307224652800*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2524748455740900318400*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 3861859094038403081600*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 78898389241903134950*sqrt(5)*(sqrt(5) + 2)^2 - 241366193377400192600*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 6034154834435004815*(sqrt(5) + 2)^(5/2) - 100890523270644033265664*sqrt(5)*(2*sqrt(5) + 5)^(3/2) - 129486527077263009521664*(2*sqrt(5) + 5)^2 - 37833946226491512474624*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 64743263538631504760832*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 4729243278311439059328*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) - 12139361913493407142656*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 197051803262976627472*sqrt(5)*(sqrt(5) + 2)^(3/2) - 1011613492791117261888*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 31612921649722414434*(sqrt(5) + 2)^2 + 976056667738889843134336*sqrt(5)*(2*sqrt(5) + 5) + 737459612988335241742848*(2*sqrt(5) + 5)^(3/2) + 244014166934722460783584*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 276547354870625715653568*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 15250885433420153798974*sqrt(5)*(sqrt(5) + 2) + 34568419358828214456696*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 1440350806617842269029*(sqrt(5) + 2)^(3/2) + 865777074090951821677952*sqrt(5)*sqrt(2*sqrt(5) + 5) + 108222134261368977709744*sqrt(5)*sqrt(sqrt(5) + 2) + 403147498761313336459456*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3399014754330436228284234*sqrt(5) + 1479783698747530204584760*sqrt(2*sqrt(5) + 5) + 184972962343441275573095*sqrt(sqrt(5) + 2) - 131291208062174938773104*e^x + 8700694617036282266881102)^2) + 1/10*sqrt(sqrt(5) + 2)*log((296777725783310857666560*sqrt(5)*(2*sqrt(5) + 5)^3 + 169587271876177632952320*(2*sqrt(5) + 5)^(7/2) + 222583294337483143249920*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 148388862891655428833280*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 69557279480463482265600*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 55645823584370785812480*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 11592879913410580377600*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 11592879913410580377600*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 1086832491882241910400*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 1449109989176322547200*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 54341624594112095520*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 108683249188224191040*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 1132117179044001990*sqrt(5)*(sqrt(5) + 2)^3 + 4528468716176007960*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 80865512788857285*(sqrt(5) + 2)^(7/2) - 562345414061023649464320*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 374896942707349099642880*(2*sqrt(5) + 5)^3 - 351465883788139780915200*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 281172707030511824732160*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 87866470947034945228800*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 87866470947034945228800*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 10983308868379368153600*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 14644411824505824204800*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 686456804273710509600*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 1372913608547421019200*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 17161420106842762740*sqrt(5)*(sqrt(5) + 2)^(5/2) - 68645680427371050960*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 1430118342236896895*(sqrt(5) + 2)^3 - 3521311589437476455997440*sqrt(5)*(2*sqrt(5) + 5)^2 - 2075104957091704020631552*(2*sqrt(5) + 5)^(5/2) - 1760655794718738227998720*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 1296940598182315012894720*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 330122961509763417749760*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 324235149545578753223680*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 27510246792480284812480*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 40529393693197344152960*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 859695212265008900390*sqrt(5)*(sqrt(5) + 2)^2 - 2533087105824834009560*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 63327177645620850239*(sqrt(5) + 2)^(5/2) + 3427066584376513776799744*sqrt(5)*(2*sqrt(5) + 5)^(3/2) + 2255513638416047840415744*(2*sqrt(5) + 5)^2 + 1285149969141192666299904*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 1127756819208023920207872*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) + 160643746142649083287488*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 211454403601504485038976*(2*sqrt(5) + 5)*(sqrt(5) + 2) + 6693489422610378470312*sqrt(5)*(sqrt(5) + 2)^(3/2) + 17621200300125373753248*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) + 550662509378917929789*(sqrt(5) + 2)^2 + 11519381554046905848481408*sqrt(5)*(2*sqrt(5) + 5) + 9181179291975798227910144*(2*sqrt(5) + 5)^(3/2) + 2879845388511726462120352*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3442942234490924335466304*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 179990336781982903882522*sqrt(5)*(sqrt(5) + 2) + 430367779311365541933288*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 17931990804640230913887*(sqrt(5) + 2)^(3/2) - 1493985186915806421972384*sqrt(5)*sqrt(2*sqrt(5) + 5) - 186748148364475802746548*sqrt(5)*sqrt(sqrt(5) + 2) + 397187773282286465287728*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 590811650205465011212999*sqrt(5) - 4784256889606509508420584*sqrt(2*sqrt(5) + 5) - 598032111200813688552573*sqrt(sqrt(5) + 2) + 9613265583240077072561069)^2 + 64*(28094736647526843678720*sqrt(5)*(2*sqrt(5) + 5)^3 + 16054135227158196387840*(2*sqrt(5) + 5)^(7/2) + 21071052485645132759040*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 14047368323763421839360*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 6584703901764103987200*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 5267763121411283189760*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 1097450650294017331200*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 1097450650294017331200*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 102885998465064124800*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 137181331286752166400*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 5144299923253206240*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 10288599846506412480*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 107172915067775130*sqrt(5)*(sqrt(5) + 2)^3 + 428691660271100520*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 7655208219126795*(sqrt(5) + 2)^(7/2) - 20755836954363830992896*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 13837224636242553995264*(2*sqrt(5) + 5)^3 - 12972398096477394370560*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 10377918477181915496448*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 3243099524119348592640*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 3243099524119348592640*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 405387440514918574080*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 540516587353224765440*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 25336715032182410880*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 50673430064364821760*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 633417875804560272*sqrt(5)*(sqrt(5) + 2)^(5/2) - 2533671503218241088*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 52784822983713356*(sqrt(5) + 2)^3 - 363528280045460787978240*sqrt(5)*(2*sqrt(5) + 5)^2 - 220585782417551521185792*(2*sqrt(5) + 5)^(5/2) - 181764140022730393989120*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 137866114010969700741120*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 34080776254261948872960*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 34466528502742425185280*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2840064687855162406080*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 4308316062842803148160*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 88752021495473825190*sqrt(5)*(sqrt(5) + 2)^2 - 269269753927675196760*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 6731743848191879919*(sqrt(5) + 2)^(5/2) - 70364981699301709291520*sqrt(5)*(2*sqrt(5) + 5)^(3/2) - 113606308687559690526720*(2*sqrt(5) + 5)^2 - 26386868137238140984320*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 56803154343779845263360*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 3298358517154767623040*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) - 10650591439458720986880*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 137431604881448650960*sqrt(5)*(sqrt(5) + 2)^(3/2) - 887549286621560082240*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 27735915206923752570*(sqrt(5) + 2)^2 + 1084940669680612606048128*sqrt(5)*(2*sqrt(5) + 5) + 811441742157208365935104*(2*sqrt(5) + 5)^(3/2) + 271235167420153151512032*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 304290653308953137225664*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 16952197963759571969502*sqrt(5)*(sqrt(5) + 2) + 38036331663619142153208*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 1584847152650797589717*(sqrt(5) + 2)^(3/2) + 916330240481116591230464*sqrt(5)*sqrt(2*sqrt(5) + 5) + 114541280060139573903808*sqrt(5)*sqrt(sqrt(5) + 2) + 438878646396292635288832*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3690050822522820384588494*sqrt(5) + 1591445182365082778211384*sqrt(2*sqrt(5) + 5) + 198930647795635347276423*sqrt(sqrt(5) + 2) + 131291208062174938773104*e^x + 9240055035301648563405942)^2) + 1/10*sqrt(2)*log(1/2*abs(-2*sqrt(2) + 2*e^x + 2)/(sqrt(2) + e^x + 1)) - 1/10*5^(1/4)*log(6400*(9202754427496321314406*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 1038239983143393667165790*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 186591807316241026405751*5^(3/4) - 20768219695320392550210*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 576155331981489353033147*sqrt(5) - 2322370119525925506249090*sqrt(-2*sqrt(5) + 5) - 417362544266571988465273*5^(1/4) - 1288784580381451028672113)^2 + 25600*(4789310072875935951200*5^(3/4)*sqrt(-2*sqrt(5) + 5) - 1799745554293062228687680*sqrt(5)*sqrt(-2*sqrt(5) + 5) - 325914041979902244813289*5^(3/4) - 10520606548600849190560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 265033340677886980055183*sqrt(5) + 4025305730691667696322880*sqrt(-2*sqrt(5) + 5) + 728855245658450343948919*5^(1/4) - 1637333558120632636*e^x - 592460559708252630357201)^2) + 1/10*5^(1/4)*log(25600*(4315023771046590689440*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 16512422419052472973244480*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 2991559181950156635096041*5^(3/4) - 11415488961128059998560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 476470546695231758102799*sqrt(5) - 36931036359499378163241280*sqrt(-2*sqrt(5) + 5) - 6690300251147369625285239*5^(1/4) - 1637333558120632636*e^x - 1067630744269504182665681)^2 + 6400*(537689066142690749994*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 45162997328032147105966190*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 8186257622186710975158757*5^(3/4) - 5838120100393683185390*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 603739022767920301057079*sqrt(5) - 101008886798639244060001970*sqrt(-2*sqrt(5) + 5) - 18307539608818658210592747*5^(1/4) - 1355343042548851351155477)^2) - 1/5*sqrt(2*sqrt(5) + 5)*arctan(-(110641272*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 475726088*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 10105915139*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 16180495104*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 284235586966*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 - 13398309260*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 4747850205816*sqrt(5) - 2373925102908*sqrt(2*sqrt(5) + 5) - 2373925102908*sqrt(sqrt(5) + 2) - 759635933456*e^x - 1242609575248)/(256556994*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 892031217*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 25195966133*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 28952708158*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 709750301398*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 + 80692042496*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 11068354399432*sqrt(5) - 5534177199716*sqrt(2*sqrt(5) + 5) - 5534177199716*sqrt(sqrt(5) + 2) - 3881375121088))/sqrt(sqrt(5) + 2) + 1/5*sqrt(2*sqrt(5) + 5)*arctan(-(83633448*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 442112756*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 7188799155*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 18979817940*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 194564340278*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 - 178069044908*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 2862929298552*sqrt(5) - 1431464649276*sqrt(2*sqrt(5) + 5) - 1431464649276*sqrt(sqrt(5) + 2) + 759635933456*e^x - 101449315520)/(82684590*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 41690029*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 10052928883*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 - 3266507166*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 302724737258*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 + 148206122616*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 4842785241848*sqrt(5) - 2421392620924*sqrt(2*sqrt(5) + 5) - 2421392620924*sqrt(sqrt(5) + 2) - 511077100176))/sqrt(sqrt(5) + 2)","B",0
271,1,10,0,0.116736," ","integrate(1/(1+sinh(x)^6),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-2/3/(e^(2*x) + 1)","A",0
272,1,1,0,0.140458," ","integrate(1/(1+sinh(x)^8),x, algorithm=""giac"")","0"," ",0,"0","A",0
273,1,5248,0,2.946902," ","integrate(1/(1-sinh(x)^5),x, algorithm=""giac"")","\frac{8}{25} \cdot 5^{\frac{3}{4}} \sqrt{-\frac{1}{32} \, \sqrt{5} + \frac{5}{64}} \arctan\left(-\frac{2 \, {\left(4789310072875935951200 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} - 1799745554293062228687680 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} - 325914041979902244813289 \cdot 5^{\frac{3}{4}} - 10520606548600849190560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 265033340677886980055183 \, \sqrt{5} + 4025305730691667696322880 \, \sqrt{-2 \, \sqrt{5} + 5} + 728855245658450343948919 \cdot 5^{\frac{1}{4}} + 1637333558120632636 \, e^{x} - 592460559708252630357201\right)}}{9202754427496321314406 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 1038239983143393667165790 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 186591807316241026405751 \cdot 5^{\frac{3}{4}} - 20768219695320392550210 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 576155331981489353033147 \, \sqrt{5} - 2322370119525925506249090 \, \sqrt{-2 \, \sqrt{5} + 5} - 417362544266571988465273 \cdot 5^{\frac{1}{4}} - 1288784580381451028672113}\right) - \frac{8}{25} \cdot 5^{\frac{3}{4}} \sqrt{-\frac{1}{32} \, \sqrt{5} + \frac{5}{64}} \arctan\left(-\frac{2 \, {\left(4315023771046590689440 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 16512422419052472973244480 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 2991559181950156635096041 \cdot 5^{\frac{3}{4}} - 11415488961128059998560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 476470546695231758102799 \, \sqrt{5} - 36931036359499378163241280 \, \sqrt{-2 \, \sqrt{5} + 5} - 6690300251147369625285239 \cdot 5^{\frac{1}{4}} + 1637333558120632636 \, e^{x} - 1067630744269504182665681\right)}}{537689066142690749994 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 45162997328032147105966190 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 8186257622186710975158757 \cdot 5^{\frac{3}{4}} - 5838120100393683185390 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 603739022767920301057079 \, \sqrt{5} - 101008886798639244060001970 \, \sqrt{-2 \, \sqrt{5} + 5} - 18307539608818658210592747 \cdot 5^{\frac{1}{4}} - 1355343042548851351155477}\right) - \frac{1}{10} \, \sqrt{\sqrt{5} + 2} \log\left({\left(302427386195713850867712 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 172815649254693629067264 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 226820539646785388150784 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 151213693097856925433856 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 70881418639620433797120 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 56705134911696347037696 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 11813569773270072299520 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 11813569773270072299520 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1107522166244069278080 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 1476696221658759037440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 55376108312203463904 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 110752216624406927808 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 1153668923170905498 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 4614675692683621992 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 82404923083636107 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 622619531678741564620800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 415079687785827709747200 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 389137207299213477888000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 311309765839370782310400 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 97284301824803369472000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 97284301824803369472000 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 12160537728100421184000 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 16214050304133894912000 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 760033608006276324000 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 1520067216012552648000 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 19000840200156908100 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 76003360800627632400 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1583403350013075675 \, {\left(\sqrt{5} + 2\right)}^{3} - 3464303003906522746101760 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 2015373937635933569712128 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 1732151501953261373050880 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 1259608711022458481070080 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 324778406616236507447040 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 314902177755614620267520 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 27064867218019708953920 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 39362772219451827533440 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 845777100563115904810 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 2460173263715739220840 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 61504331592893480521 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 3959703717250098693214208 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2662579692919387100254208 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} + 1484888893968787009955328 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 1331289846459693550127104 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} + 185611111746098376244416 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 249616846211192540648832 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} + 7733796322754099010184 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 20801403850932711720736 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 650043870341647241273 \, {\left(\sqrt{5} + 2\right)}^{2} + 10991940456909382283282816 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 8567053742081103206220288 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2747985114227345570820704 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3212645153280413702332608 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 171749069639209098176294 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 401580644160051712791576 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 16732526840002154699649 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 2557269775899525489493536 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} - 319658721987440686186692 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 39842775211562571442672 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} - 3308326863346966249269767 \, \sqrt{5} - 4580301686563984868886360 \, \sqrt{2 \, \sqrt{5} + 5} - 572537710820498108610795 \, \sqrt{\sqrt{5} + 2} + 2850824269841065226382633\right)}^{2} + 64 \, {\left(24322822501240781930496 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 13898755714994732531712 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 18242116875930586447872 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 12161411250620390965248 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 5700661523728308264960 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 4560529218982646611968 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 950110253954718044160 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 950110253954718044160 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 89072836308254816640 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 118763781744339755520 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 4453641815412740832 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 8907283630825481664 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 92784204487765434 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 371136817951061736 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 6627443177697531 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 13726081827177108602880 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 9150721218118072401920 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 8578801141985692876800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 6863040913588554301440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 2144700285496423219200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2144700285496423219200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 268087535687052902400 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 357450047582737203200 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 16755470980440806400 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 33510941960881612800 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 418886774511020160 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1675547098044080640 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 34907231209251680 \, {\left(\sqrt{5} + 2\right)}^{3} - 323167802334835240755200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 197727185614766237777920 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 161583901167417620377600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 123579491009228898611200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 30296981468890803820800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 30894872752307224652800 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2524748455740900318400 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 3861859094038403081600 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 78898389241903134950 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 241366193377400192600 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 6034154834435004815 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 100890523270644033265664 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} - 129486527077263009521664 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} - 37833946226491512474624 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} - 64743263538631504760832 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 4729243278311439059328 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} - 12139361913493407142656 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 197051803262976627472 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 1011613492791117261888 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 31612921649722414434 \, {\left(\sqrt{5} + 2\right)}^{2} + 976056667738889843134336 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 737459612988335241742848 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 244014166934722460783584 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 276547354870625715653568 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 15250885433420153798974 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 34568419358828214456696 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 1440350806617842269029 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 865777074090951821677952 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} + 108222134261368977709744 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 403147498761313336459456 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3399014754330436228284234 \, \sqrt{5} + 1479783698747530204584760 \, \sqrt{2 \, \sqrt{5} + 5} + 184972962343441275573095 \, \sqrt{\sqrt{5} + 2} + 131291208062174938773104 \, e^{x} + 8700694617036282266881102\right)}^{2}\right) + \frac{1}{10} \, \sqrt{\sqrt{5} + 2} \log\left({\left(296777725783310857666560 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 169587271876177632952320 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 222583294337483143249920 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 148388862891655428833280 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 69557279480463482265600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 55645823584370785812480 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 11592879913410580377600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 11592879913410580377600 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1086832491882241910400 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 1449109989176322547200 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 54341624594112095520 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 108683249188224191040 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 1132117179044001990 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 4528468716176007960 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 80865512788857285 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 562345414061023649464320 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 374896942707349099642880 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 351465883788139780915200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 281172707030511824732160 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 87866470947034945228800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 87866470947034945228800 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 10983308868379368153600 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 14644411824505824204800 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 686456804273710509600 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 1372913608547421019200 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 17161420106842762740 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 68645680427371050960 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 1430118342236896895 \, {\left(\sqrt{5} + 2\right)}^{3} - 3521311589437476455997440 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 2075104957091704020631552 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 1760655794718738227998720 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 1296940598182315012894720 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 330122961509763417749760 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 324235149545578753223680 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 27510246792480284812480 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 40529393693197344152960 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 859695212265008900390 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 2533087105824834009560 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 63327177645620850239 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 3427066584376513776799744 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2255513638416047840415744 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} + 1285149969141192666299904 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 1127756819208023920207872 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} + 160643746142649083287488 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 211454403601504485038976 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} + 6693489422610378470312 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 17621200300125373753248 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 550662509378917929789 \, {\left(\sqrt{5} + 2\right)}^{2} + 11519381554046905848481408 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 9181179291975798227910144 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 2879845388511726462120352 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3442942234490924335466304 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 179990336781982903882522 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 430367779311365541933288 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 17931990804640230913887 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 1493985186915806421972384 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} - 186748148364475802746548 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 397187773282286465287728 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} - 590811650205465011212999 \, \sqrt{5} - 4784256889606509508420584 \, \sqrt{2 \, \sqrt{5} + 5} - 598032111200813688552573 \, \sqrt{\sqrt{5} + 2} + 9613265583240077072561069\right)}^{2} + 64 \, {\left(28094736647526843678720 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{3} + 16054135227158196387840 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{7}{2}} + 21071052485645132759040 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} + 14047368323763421839360 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} \sqrt{\sqrt{5} + 2} + 6584703901764103987200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} + 5267763121411283189760 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} {\left(\sqrt{5} + 2\right)} + 1097450650294017331200 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 1097450650294017331200 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 102885998465064124800 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} + 137181331286752166400 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{2} + 5144299923253206240 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 10288599846506412480 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} + 107172915067775130 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{3} + 428691660271100520 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{3} + 7655208219126795 \, {\left(\sqrt{5} + 2\right)}^{\frac{7}{2}} - 20755836954363830992896 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 13837224636242553995264 \, {\left(2 \, \sqrt{5} + 5\right)}^{3} - 12972398096477394370560 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 10377918477181915496448 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} \sqrt{\sqrt{5} + 2} - 3243099524119348592640 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 3243099524119348592640 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} {\left(\sqrt{5} + 2\right)} - 405387440514918574080 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 540516587353224765440 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 25336715032182410880 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 50673430064364821760 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{2} - 633417875804560272 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 2533671503218241088 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 52784822983713356 \, {\left(\sqrt{5} + 2\right)}^{3} - 363528280045460787978240 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{2} - 220585782417551521185792 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{5}{2}} - 181764140022730393989120 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 137866114010969700741120 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} \sqrt{\sqrt{5} + 2} - 34080776254261948872960 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 34466528502742425185280 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} {\left(\sqrt{5} + 2\right)} - 2840064687855162406080 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 4308316062842803148160 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 88752021495473825190 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{2} - 269269753927675196760 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{2} - 6731743848191879919 \, {\left(\sqrt{5} + 2\right)}^{\frac{5}{2}} - 70364981699301709291520 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} - 113606308687559690526720 \, {\left(2 \, \sqrt{5} + 5\right)}^{2} - 26386868137238140984320 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} - 56803154343779845263360 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} \sqrt{\sqrt{5} + 2} - 3298358517154767623040 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} - 10650591439458720986880 \, {\left(2 \, \sqrt{5} + 5\right)} {\left(\sqrt{5} + 2\right)} - 137431604881448650960 \, \sqrt{5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 887549286621560082240 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} - 27735915206923752570 \, {\left(\sqrt{5} + 2\right)}^{2} + 1084940669680612606048128 \, \sqrt{5} {\left(2 \, \sqrt{5} + 5\right)} + 811441742157208365935104 \, {\left(2 \, \sqrt{5} + 5\right)}^{\frac{3}{2}} + 271235167420153151512032 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 304290653308953137225664 \, {\left(2 \, \sqrt{5} + 5\right)} \sqrt{\sqrt{5} + 2} + 16952197963759571969502 \, \sqrt{5} {\left(\sqrt{5} + 2\right)} + 38036331663619142153208 \, \sqrt{2 \, \sqrt{5} + 5} {\left(\sqrt{5} + 2\right)} + 1584847152650797589717 \, {\left(\sqrt{5} + 2\right)}^{\frac{3}{2}} + 916330240481116591230464 \, \sqrt{5} \sqrt{2 \, \sqrt{5} + 5} + 114541280060139573903808 \, \sqrt{5} \sqrt{\sqrt{5} + 2} + 438878646396292635288832 \, \sqrt{2 \, \sqrt{5} + 5} \sqrt{\sqrt{5} + 2} + 3690050822522820384588494 \, \sqrt{5} + 1591445182365082778211384 \, \sqrt{2 \, \sqrt{5} + 5} + 198930647795635347276423 \, \sqrt{\sqrt{5} + 2} - 131291208062174938773104 \, e^{x} + 9240055035301648563405942\right)}^{2}\right) - \frac{1}{10} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, e^{x} - 2 \right|}}{{\left| 2 \, \sqrt{2} + 2 \, e^{x} - 2 \right|}}\right) - \frac{1}{10} \cdot 5^{\frac{1}{4}} \log\left(6400 \, {\left(9202754427496321314406 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 1038239983143393667165790 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 186591807316241026405751 \cdot 5^{\frac{3}{4}} - 20768219695320392550210 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 576155331981489353033147 \, \sqrt{5} - 2322370119525925506249090 \, \sqrt{-2 \, \sqrt{5} + 5} - 417362544266571988465273 \cdot 5^{\frac{1}{4}} - 1288784580381451028672113\right)}^{2} + 25600 \, {\left(4789310072875935951200 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} - 1799745554293062228687680 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} - 325914041979902244813289 \cdot 5^{\frac{3}{4}} - 10520606548600849190560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 265033340677886980055183 \, \sqrt{5} + 4025305730691667696322880 \, \sqrt{-2 \, \sqrt{5} + 5} + 728855245658450343948919 \cdot 5^{\frac{1}{4}} + 1637333558120632636 \, e^{x} - 592460559708252630357201\right)}^{2}\right) + \frac{1}{10} \cdot 5^{\frac{1}{4}} \log\left(25600 \, {\left(4315023771046590689440 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 16512422419052472973244480 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 2991559181950156635096041 \cdot 5^{\frac{3}{4}} - 11415488961128059998560 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 476470546695231758102799 \, \sqrt{5} - 36931036359499378163241280 \, \sqrt{-2 \, \sqrt{5} + 5} - 6690300251147369625285239 \cdot 5^{\frac{1}{4}} + 1637333558120632636 \, e^{x} - 1067630744269504182665681\right)}^{2} + 6400 \, {\left(537689066142690749994 \cdot 5^{\frac{3}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 45162997328032147105966190 \, \sqrt{5} \sqrt{-2 \, \sqrt{5} + 5} + 8186257622186710975158757 \cdot 5^{\frac{3}{4}} - 5838120100393683185390 \cdot 5^{\frac{1}{4}} \sqrt{-2 \, \sqrt{5} + 5} + 603739022767920301057079 \, \sqrt{5} - 101008886798639244060001970 \, \sqrt{-2 \, \sqrt{5} + 5} - 18307539608818658210592747 \cdot 5^{\frac{1}{4}} - 1355343042548851351155477\right)}^{2}\right) + \frac{\sqrt{2 \, \sqrt{5} + 5} \arctan\left(\frac{110641272 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 475726088 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 10105915139 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 16180495104 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 284235586966 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} - 13398309260 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 4747850205816 \, \sqrt{5} - 2373925102908 \, \sqrt{2 \, \sqrt{5} + 5} - 2373925102908 \, \sqrt{\sqrt{5} + 2} + 759635933456 \, e^{x} - 1242609575248}{256556994 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 892031217 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 25195966133 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 28952708158 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 709750301398 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} + 80692042496 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 11068354399432 \, \sqrt{5} - 5534177199716 \, \sqrt{2 \, \sqrt{5} + 5} - 5534177199716 \, \sqrt{\sqrt{5} + 2} - 3881375121088}\right)}{5 \, \sqrt{\sqrt{5} + 2}} - \frac{\sqrt{2 \, \sqrt{5} + 5} \arctan\left(\frac{83633448 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 442112756 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 7188799155 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} + 18979817940 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 194564340278 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} - 178069044908 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 2862929298552 \, \sqrt{5} - 1431464649276 \, \sqrt{2 \, \sqrt{5} + 5} - 1431464649276 \, \sqrt{\sqrt{5} + 2} - 759635933456 \, e^{x} - 101449315520}{82684590 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{7} - 41690029 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{6} - 10052928883 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{5} - 3266507166 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{4} + 302724737258 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{3} + 148206122616 \, {\left(2 \, \sqrt{5} + \sqrt{2 \, \sqrt{5} + 5} + \sqrt{\sqrt{5} + 2}\right)}^{2} - 4842785241848 \, \sqrt{5} - 2421392620924 \, \sqrt{2 \, \sqrt{5} + 5} - 2421392620924 \, \sqrt{\sqrt{5} + 2} - 511077100176}\right)}{5 \, \sqrt{\sqrt{5} + 2}}"," ",0,"8/25*5^(3/4)*sqrt(-1/32*sqrt(5) + 5/64)*arctan(-2*(4789310072875935951200*5^(3/4)*sqrt(-2*sqrt(5) + 5) - 1799745554293062228687680*sqrt(5)*sqrt(-2*sqrt(5) + 5) - 325914041979902244813289*5^(3/4) - 10520606548600849190560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 265033340677886980055183*sqrt(5) + 4025305730691667696322880*sqrt(-2*sqrt(5) + 5) + 728855245658450343948919*5^(1/4) + 1637333558120632636*e^x - 592460559708252630357201)/(9202754427496321314406*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 1038239983143393667165790*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 186591807316241026405751*5^(3/4) - 20768219695320392550210*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 576155331981489353033147*sqrt(5) - 2322370119525925506249090*sqrt(-2*sqrt(5) + 5) - 417362544266571988465273*5^(1/4) - 1288784580381451028672113)) - 8/25*5^(3/4)*sqrt(-1/32*sqrt(5) + 5/64)*arctan(-2*(4315023771046590689440*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 16512422419052472973244480*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 2991559181950156635096041*5^(3/4) - 11415488961128059998560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 476470546695231758102799*sqrt(5) - 36931036359499378163241280*sqrt(-2*sqrt(5) + 5) - 6690300251147369625285239*5^(1/4) + 1637333558120632636*e^x - 1067630744269504182665681)/(537689066142690749994*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 45162997328032147105966190*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 8186257622186710975158757*5^(3/4) - 5838120100393683185390*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 603739022767920301057079*sqrt(5) - 101008886798639244060001970*sqrt(-2*sqrt(5) + 5) - 18307539608818658210592747*5^(1/4) - 1355343042548851351155477)) - 1/10*sqrt(sqrt(5) + 2)*log((302427386195713850867712*sqrt(5)*(2*sqrt(5) + 5)^3 + 172815649254693629067264*(2*sqrt(5) + 5)^(7/2) + 226820539646785388150784*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 151213693097856925433856*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 70881418639620433797120*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 56705134911696347037696*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 11813569773270072299520*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 11813569773270072299520*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 1107522166244069278080*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 1476696221658759037440*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 55376108312203463904*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 110752216624406927808*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 1153668923170905498*sqrt(5)*(sqrt(5) + 2)^3 + 4614675692683621992*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 82404923083636107*(sqrt(5) + 2)^(7/2) - 622619531678741564620800*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 415079687785827709747200*(2*sqrt(5) + 5)^3 - 389137207299213477888000*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 311309765839370782310400*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 97284301824803369472000*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 97284301824803369472000*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 12160537728100421184000*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 16214050304133894912000*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 760033608006276324000*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 1520067216012552648000*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 19000840200156908100*sqrt(5)*(sqrt(5) + 2)^(5/2) - 76003360800627632400*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 1583403350013075675*(sqrt(5) + 2)^3 - 3464303003906522746101760*sqrt(5)*(2*sqrt(5) + 5)^2 - 2015373937635933569712128*(2*sqrt(5) + 5)^(5/2) - 1732151501953261373050880*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 1259608711022458481070080*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 324778406616236507447040*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 314902177755614620267520*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 27064867218019708953920*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 39362772219451827533440*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 845777100563115904810*sqrt(5)*(sqrt(5) + 2)^2 - 2460173263715739220840*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 61504331592893480521*(sqrt(5) + 2)^(5/2) + 3959703717250098693214208*sqrt(5)*(2*sqrt(5) + 5)^(3/2) + 2662579692919387100254208*(2*sqrt(5) + 5)^2 + 1484888893968787009955328*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 1331289846459693550127104*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) + 185611111746098376244416*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 249616846211192540648832*(2*sqrt(5) + 5)*(sqrt(5) + 2) + 7733796322754099010184*sqrt(5)*(sqrt(5) + 2)^(3/2) + 20801403850932711720736*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) + 650043870341647241273*(sqrt(5) + 2)^2 + 10991940456909382283282816*sqrt(5)*(2*sqrt(5) + 5) + 8567053742081103206220288*(2*sqrt(5) + 5)^(3/2) + 2747985114227345570820704*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3212645153280413702332608*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 171749069639209098176294*sqrt(5)*(sqrt(5) + 2) + 401580644160051712791576*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 16732526840002154699649*(sqrt(5) + 2)^(3/2) - 2557269775899525489493536*sqrt(5)*sqrt(2*sqrt(5) + 5) - 319658721987440686186692*sqrt(5)*sqrt(sqrt(5) + 2) + 39842775211562571442672*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 3308326863346966249269767*sqrt(5) - 4580301686563984868886360*sqrt(2*sqrt(5) + 5) - 572537710820498108610795*sqrt(sqrt(5) + 2) + 2850824269841065226382633)^2 + 64*(24322822501240781930496*sqrt(5)*(2*sqrt(5) + 5)^3 + 13898755714994732531712*(2*sqrt(5) + 5)^(7/2) + 18242116875930586447872*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 12161411250620390965248*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 5700661523728308264960*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 4560529218982646611968*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 950110253954718044160*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 950110253954718044160*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 89072836308254816640*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 118763781744339755520*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 4453641815412740832*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 8907283630825481664*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 92784204487765434*sqrt(5)*(sqrt(5) + 2)^3 + 371136817951061736*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 6627443177697531*(sqrt(5) + 2)^(7/2) - 13726081827177108602880*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 9150721218118072401920*(2*sqrt(5) + 5)^3 - 8578801141985692876800*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 6863040913588554301440*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 2144700285496423219200*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2144700285496423219200*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 268087535687052902400*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 357450047582737203200*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 16755470980440806400*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 33510941960881612800*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 418886774511020160*sqrt(5)*(sqrt(5) + 2)^(5/2) - 1675547098044080640*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 34907231209251680*(sqrt(5) + 2)^3 - 323167802334835240755200*sqrt(5)*(2*sqrt(5) + 5)^2 - 197727185614766237777920*(2*sqrt(5) + 5)^(5/2) - 161583901167417620377600*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 123579491009228898611200*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 30296981468890803820800*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 30894872752307224652800*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2524748455740900318400*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 3861859094038403081600*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 78898389241903134950*sqrt(5)*(sqrt(5) + 2)^2 - 241366193377400192600*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 6034154834435004815*(sqrt(5) + 2)^(5/2) - 100890523270644033265664*sqrt(5)*(2*sqrt(5) + 5)^(3/2) - 129486527077263009521664*(2*sqrt(5) + 5)^2 - 37833946226491512474624*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 64743263538631504760832*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 4729243278311439059328*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) - 12139361913493407142656*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 197051803262976627472*sqrt(5)*(sqrt(5) + 2)^(3/2) - 1011613492791117261888*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 31612921649722414434*(sqrt(5) + 2)^2 + 976056667738889843134336*sqrt(5)*(2*sqrt(5) + 5) + 737459612988335241742848*(2*sqrt(5) + 5)^(3/2) + 244014166934722460783584*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 276547354870625715653568*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 15250885433420153798974*sqrt(5)*(sqrt(5) + 2) + 34568419358828214456696*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 1440350806617842269029*(sqrt(5) + 2)^(3/2) + 865777074090951821677952*sqrt(5)*sqrt(2*sqrt(5) + 5) + 108222134261368977709744*sqrt(5)*sqrt(sqrt(5) + 2) + 403147498761313336459456*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3399014754330436228284234*sqrt(5) + 1479783698747530204584760*sqrt(2*sqrt(5) + 5) + 184972962343441275573095*sqrt(sqrt(5) + 2) + 131291208062174938773104*e^x + 8700694617036282266881102)^2) + 1/10*sqrt(sqrt(5) + 2)*log((296777725783310857666560*sqrt(5)*(2*sqrt(5) + 5)^3 + 169587271876177632952320*(2*sqrt(5) + 5)^(7/2) + 222583294337483143249920*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 148388862891655428833280*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 69557279480463482265600*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 55645823584370785812480*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 11592879913410580377600*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 11592879913410580377600*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 1086832491882241910400*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 1449109989176322547200*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 54341624594112095520*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 108683249188224191040*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 1132117179044001990*sqrt(5)*(sqrt(5) + 2)^3 + 4528468716176007960*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 80865512788857285*(sqrt(5) + 2)^(7/2) - 562345414061023649464320*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 374896942707349099642880*(2*sqrt(5) + 5)^3 - 351465883788139780915200*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 281172707030511824732160*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 87866470947034945228800*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 87866470947034945228800*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 10983308868379368153600*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 14644411824505824204800*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 686456804273710509600*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 1372913608547421019200*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 17161420106842762740*sqrt(5)*(sqrt(5) + 2)^(5/2) - 68645680427371050960*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 1430118342236896895*(sqrt(5) + 2)^3 - 3521311589437476455997440*sqrt(5)*(2*sqrt(5) + 5)^2 - 2075104957091704020631552*(2*sqrt(5) + 5)^(5/2) - 1760655794718738227998720*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 1296940598182315012894720*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 330122961509763417749760*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 324235149545578753223680*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 27510246792480284812480*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 40529393693197344152960*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 859695212265008900390*sqrt(5)*(sqrt(5) + 2)^2 - 2533087105824834009560*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 63327177645620850239*(sqrt(5) + 2)^(5/2) + 3427066584376513776799744*sqrt(5)*(2*sqrt(5) + 5)^(3/2) + 2255513638416047840415744*(2*sqrt(5) + 5)^2 + 1285149969141192666299904*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 1127756819208023920207872*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) + 160643746142649083287488*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 211454403601504485038976*(2*sqrt(5) + 5)*(sqrt(5) + 2) + 6693489422610378470312*sqrt(5)*(sqrt(5) + 2)^(3/2) + 17621200300125373753248*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) + 550662509378917929789*(sqrt(5) + 2)^2 + 11519381554046905848481408*sqrt(5)*(2*sqrt(5) + 5) + 9181179291975798227910144*(2*sqrt(5) + 5)^(3/2) + 2879845388511726462120352*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3442942234490924335466304*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 179990336781982903882522*sqrt(5)*(sqrt(5) + 2) + 430367779311365541933288*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 17931990804640230913887*(sqrt(5) + 2)^(3/2) - 1493985186915806421972384*sqrt(5)*sqrt(2*sqrt(5) + 5) - 186748148364475802746548*sqrt(5)*sqrt(sqrt(5) + 2) + 397187773282286465287728*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 590811650205465011212999*sqrt(5) - 4784256889606509508420584*sqrt(2*sqrt(5) + 5) - 598032111200813688552573*sqrt(sqrt(5) + 2) + 9613265583240077072561069)^2 + 64*(28094736647526843678720*sqrt(5)*(2*sqrt(5) + 5)^3 + 16054135227158196387840*(2*sqrt(5) + 5)^(7/2) + 21071052485645132759040*sqrt(5)*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) + 14047368323763421839360*(2*sqrt(5) + 5)^3*sqrt(sqrt(5) + 2) + 6584703901764103987200*sqrt(5)*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) + 5267763121411283189760*(2*sqrt(5) + 5)^(5/2)*(sqrt(5) + 2) + 1097450650294017331200*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) + 1097450650294017331200*(2*sqrt(5) + 5)^2*(sqrt(5) + 2)^(3/2) + 102885998465064124800*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 + 137181331286752166400*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^2 + 5144299923253206240*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 10288599846506412480*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) + 107172915067775130*sqrt(5)*(sqrt(5) + 2)^3 + 428691660271100520*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^3 + 7655208219126795*(sqrt(5) + 2)^(7/2) - 20755836954363830992896*sqrt(5)*(2*sqrt(5) + 5)^(5/2) - 13837224636242553995264*(2*sqrt(5) + 5)^3 - 12972398096477394370560*sqrt(5)*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 10377918477181915496448*(2*sqrt(5) + 5)^(5/2)*sqrt(sqrt(5) + 2) - 3243099524119348592640*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 3243099524119348592640*(2*sqrt(5) + 5)^2*(sqrt(5) + 2) - 405387440514918574080*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 540516587353224765440*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2)^(3/2) - 25336715032182410880*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 50673430064364821760*(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 633417875804560272*sqrt(5)*(sqrt(5) + 2)^(5/2) - 2533671503218241088*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(5/2) - 52784822983713356*(sqrt(5) + 2)^3 - 363528280045460787978240*sqrt(5)*(2*sqrt(5) + 5)^2 - 220585782417551521185792*(2*sqrt(5) + 5)^(5/2) - 181764140022730393989120*sqrt(5)*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 137866114010969700741120*(2*sqrt(5) + 5)^2*sqrt(sqrt(5) + 2) - 34080776254261948872960*sqrt(5)*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 34466528502742425185280*(2*sqrt(5) + 5)^(3/2)*(sqrt(5) + 2) - 2840064687855162406080*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 4308316062842803148160*(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 88752021495473825190*sqrt(5)*(sqrt(5) + 2)^2 - 269269753927675196760*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^2 - 6731743848191879919*(sqrt(5) + 2)^(5/2) - 70364981699301709291520*sqrt(5)*(2*sqrt(5) + 5)^(3/2) - 113606308687559690526720*(2*sqrt(5) + 5)^2 - 26386868137238140984320*sqrt(5)*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) - 56803154343779845263360*(2*sqrt(5) + 5)^(3/2)*sqrt(sqrt(5) + 2) - 3298358517154767623040*sqrt(5)*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) - 10650591439458720986880*(2*sqrt(5) + 5)*(sqrt(5) + 2) - 137431604881448650960*sqrt(5)*(sqrt(5) + 2)^(3/2) - 887549286621560082240*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2)^(3/2) - 27735915206923752570*(sqrt(5) + 2)^2 + 1084940669680612606048128*sqrt(5)*(2*sqrt(5) + 5) + 811441742157208365935104*(2*sqrt(5) + 5)^(3/2) + 271235167420153151512032*sqrt(5)*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 304290653308953137225664*(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 16952197963759571969502*sqrt(5)*(sqrt(5) + 2) + 38036331663619142153208*sqrt(2*sqrt(5) + 5)*(sqrt(5) + 2) + 1584847152650797589717*(sqrt(5) + 2)^(3/2) + 916330240481116591230464*sqrt(5)*sqrt(2*sqrt(5) + 5) + 114541280060139573903808*sqrt(5)*sqrt(sqrt(5) + 2) + 438878646396292635288832*sqrt(2*sqrt(5) + 5)*sqrt(sqrt(5) + 2) + 3690050822522820384588494*sqrt(5) + 1591445182365082778211384*sqrt(2*sqrt(5) + 5) + 198930647795635347276423*sqrt(sqrt(5) + 2) - 131291208062174938773104*e^x + 9240055035301648563405942)^2) - 1/10*sqrt(2)*log(abs(-2*sqrt(2) + 2*e^x - 2)/abs(2*sqrt(2) + 2*e^x - 2)) - 1/10*5^(1/4)*log(6400*(9202754427496321314406*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 1038239983143393667165790*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 186591807316241026405751*5^(3/4) - 20768219695320392550210*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 576155331981489353033147*sqrt(5) - 2322370119525925506249090*sqrt(-2*sqrt(5) + 5) - 417362544266571988465273*5^(1/4) - 1288784580381451028672113)^2 + 25600*(4789310072875935951200*5^(3/4)*sqrt(-2*sqrt(5) + 5) - 1799745554293062228687680*sqrt(5)*sqrt(-2*sqrt(5) + 5) - 325914041979902244813289*5^(3/4) - 10520606548600849190560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 265033340677886980055183*sqrt(5) + 4025305730691667696322880*sqrt(-2*sqrt(5) + 5) + 728855245658450343948919*5^(1/4) + 1637333558120632636*e^x - 592460559708252630357201)^2) + 1/10*5^(1/4)*log(25600*(4315023771046590689440*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 16512422419052472973244480*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 2991559181950156635096041*5^(3/4) - 11415488961128059998560*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 476470546695231758102799*sqrt(5) - 36931036359499378163241280*sqrt(-2*sqrt(5) + 5) - 6690300251147369625285239*5^(1/4) + 1637333558120632636*e^x - 1067630744269504182665681)^2 + 6400*(537689066142690749994*5^(3/4)*sqrt(-2*sqrt(5) + 5) + 45162997328032147105966190*sqrt(5)*sqrt(-2*sqrt(5) + 5) + 8186257622186710975158757*5^(3/4) - 5838120100393683185390*5^(1/4)*sqrt(-2*sqrt(5) + 5) + 603739022767920301057079*sqrt(5) - 101008886798639244060001970*sqrt(-2*sqrt(5) + 5) - 18307539608818658210592747*5^(1/4) - 1355343042548851351155477)^2) + 1/5*sqrt(2*sqrt(5) + 5)*arctan((110641272*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 475726088*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 10105915139*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 16180495104*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 284235586966*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 - 13398309260*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 4747850205816*sqrt(5) - 2373925102908*sqrt(2*sqrt(5) + 5) - 2373925102908*sqrt(sqrt(5) + 2) + 759635933456*e^x - 1242609575248)/(256556994*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 892031217*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 25195966133*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 28952708158*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 709750301398*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 + 80692042496*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 11068354399432*sqrt(5) - 5534177199716*sqrt(2*sqrt(5) + 5) - 5534177199716*sqrt(sqrt(5) + 2) - 3881375121088))/sqrt(sqrt(5) + 2) - 1/5*sqrt(2*sqrt(5) + 5)*arctan((83633448*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 442112756*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 7188799155*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 + 18979817940*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 194564340278*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 - 178069044908*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 2862929298552*sqrt(5) - 1431464649276*sqrt(2*sqrt(5) + 5) - 1431464649276*sqrt(sqrt(5) + 2) - 759635933456*e^x - 101449315520)/(82684590*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^7 - 41690029*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^6 - 10052928883*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^5 - 3266507166*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^4 + 302724737258*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^3 + 148206122616*(2*sqrt(5) + sqrt(2*sqrt(5) + 5) + sqrt(sqrt(5) + 2))^2 - 4842785241848*sqrt(5) - 2421392620924*sqrt(2*sqrt(5) + 5) - 2421392620924*sqrt(sqrt(5) + 2) - 511077100176))/sqrt(sqrt(5) + 2)","B",0
274,1,143,0,0.159500," ","integrate(1/(1-sinh(x)^6),x, algorithm=""giac"")","-\frac{1}{36} \, {\left({\left(2 \, \sqrt{3} - 3\right)} e^{\left(4 \, x\right)} + 2 \, \sqrt{3} - 3\right)} \arctan\left(\frac{e^{\left(2 \, x\right)}}{\sqrt{3} + 2}\right) + \frac{1}{36} \, {\left({\left(2 \, \sqrt{3} + 3\right)} e^{\left(4 \, x\right)} + 2 \, \sqrt{3} + 3\right)} \arctan\left(-\frac{e^{\left(2 \, x\right)}}{\sqrt{3} - 2}\right) - \frac{1}{12} \, \sqrt{3} \log\left({\left(\sqrt{3} + 2\right)}^{2} + e^{\left(4 \, x\right)}\right) + \frac{1}{12} \, \sqrt{3} \log\left({\left(\sqrt{3} - 2\right)}^{2} + e^{\left(4 \, x\right)}\right) - \frac{1}{12} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right)"," ",0,"-1/36*((2*sqrt(3) - 3)*e^(4*x) + 2*sqrt(3) - 3)*arctan(e^(2*x)/(sqrt(3) + 2)) + 1/36*((2*sqrt(3) + 3)*e^(4*x) + 2*sqrt(3) + 3)*arctan(-e^(2*x)/(sqrt(3) - 2)) - 1/12*sqrt(3)*log((sqrt(3) + 2)^2 + e^(4*x)) + 1/12*sqrt(3)*log((sqrt(3) - 2)^2 + e^(4*x)) - 1/12*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6))","B",0
275,-1,0,0,0.000000," ","integrate(1/(1-sinh(x)^8),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,1,29,0,2.016217," ","integrate(cosh(x)^5/(a+a*sinh(x)^2),x, algorithm=""giac"")","-\frac{{\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} - e^{\left(3 \, x\right)} - 9 \, e^{x}}{24 \, a}"," ",0,"-1/24*((9*e^(2*x) + 1)*e^(-3*x) - e^(3*x) - 9*e^x)/a","A",0
277,1,28,0,0.129719," ","integrate(cosh(x)^4/(a+a*sinh(x)^2),x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} - 4 \, x - e^{\left(2 \, x\right)}}{8 \, a}"," ",0,"-1/8*((2*e^(2*x) + 1)*e^(-2*x) - 4*x - e^(2*x))/a","A",0
278,1,14,0,0.116782," ","integrate(cosh(x)^3/(a+a*sinh(x)^2),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} - e^{x}}{2 \, a}"," ",0,"-1/2*(e^(-x) - e^x)/a","B",0
279,1,5,0,0.114754," ","integrate(cosh(x)^2/(a+a*sinh(x)^2),x, algorithm=""giac"")","\frac{x}{a}"," ",0,"x/a","A",0
280,1,8,0,0.129629," ","integrate(cosh(x)/(a+a*sinh(x)^2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{x}\right)}{a}"," ",0,"2*arctan(e^x)/a","A",0
281,1,52,0,0.135341," ","integrate(sech(x)/(a+a*sinh(x)^2),x, algorithm=""giac"")","\frac{\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)}{4 \, a} - \frac{e^{\left(-x\right)} - e^{x}}{{\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)} a}"," ",0,"1/4*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))/a - (e^(-x) - e^x)/(((e^(-x) - e^x)^2 + 4)*a)","B",0
282,1,67,0,0.124140," ","integrate(sech(x)^3/(a+a*sinh(x)^2),x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)}}{16 \, a} - \frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 20 \, e^{\left(-x\right)} - 20 \, e^{x}}{4 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{2} a}"," ",0,"3/16*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))/a - 1/4*(3*(e^(-x) - e^x)^3 + 20*e^(-x) - 20*e^x)/(((e^(-x) - e^x)^2 + 4)^2*a)","B",0
283,1,121,0,0.156250," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{1}{16} \, {\left(6 \, a - b\right)} x + \frac{b e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} + \frac{{\left(2 \, a + b\right)} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{{\left(16 \, a - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(2 \, a + b\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d} - \frac{b e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"1/16*(6*a - b)*x + 1/384*b*e^(6*d*x + 6*c)/d + 1/128*(2*a + b)*e^(4*d*x + 4*c)/d + 1/128*(16*a - b)*e^(2*d*x + 2*c)/d - 1/128*(16*a - b)*e^(-2*d*x - 2*c)/d - 1/128*(2*a + b)*e^(-4*d*x - 4*c)/d - 1/384*b*e^(-6*d*x - 6*c)/d","A",0
284,1,108,0,0.131893," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{b e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} + \frac{{\left(4 \, a + b\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{{\left(6 \, a - b\right)} e^{\left(d x + c\right)}}{16 \, d} - \frac{{\left(6 \, a - b\right)} e^{\left(-d x - c\right)}}{16 \, d} - \frac{{\left(4 \, a + b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d} - \frac{b e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d}"," ",0,"1/160*b*e^(5*d*x + 5*c)/d + 1/96*(4*a + b)*e^(3*d*x + 3*c)/d + 1/16*(6*a - b)*e^(d*x + c)/d - 1/16*(6*a - b)*e^(-d*x - c)/d - 1/96*(4*a + b)*e^(-3*d*x - 3*c)/d - 1/160*b*e^(-5*d*x - 5*c)/d","B",0
285,1,71,0,0.136710," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(4 \, a - b\right)} x + \frac{b e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{a e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{a e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{b e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/8*(4*a - b)*x + 1/64*b*e^(4*d*x + 4*c)/d + 1/8*a*e^(2*d*x + 2*c)/d - 1/8*a*e^(-2*d*x - 2*c)/d - 1/64*b*e^(-4*d*x - 4*c)/d","A",0
286,1,70,0,0.137689," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{b e^{\left(3 \, d x + 3 \, c\right)}}{24 \, d} + \frac{{\left(4 \, a - b\right)} e^{\left(d x + c\right)}}{8 \, d} - \frac{{\left(4 \, a - b\right)} e^{\left(-d x - c\right)}}{8 \, d} - \frac{b e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*b*e^(3*d*x + 3*c)/d + 1/8*(4*a - b)*e^(d*x + c)/d - 1/8*(4*a - b)*e^(-d*x - c)/d - 1/24*b*e^(-3*d*x - 3*c)/d","B",0
287,1,40,0,0.141810," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{4 \, {\left(a - b\right)} \arctan\left(e^{\left(d x + c\right)}\right) + b e^{\left(d x + c\right)} - b e^{\left(-d x - c\right)}}{2 \, d}"," ",0,"1/2*(4*(a - b)*arctan(e^(d*x + c)) + b*e^(d*x + c) - b*e^(-d*x - c))/d","A",0
288,1,32,0,0.133614," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} b - \frac{2 \, {\left(a - b\right)}}{e^{\left(2 \, d x + 2 \, c\right)} + 1}}{d}"," ",0,"((d*x + c)*b - 2*(a - b)/(e^(2*d*x + 2*c) + 1))/d","A",0
289,1,105,0,0.146983," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(a + b\right)} + \frac{4 \, {\left(a {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4}}{4 \, d}"," ",0,"1/4*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(a + b) + 4*(a*(e^(d*x + c) - e^(-d*x - c)) - b*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4))/d","B",0
290,1,47,0,0.157990," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a + b\right)}}{3 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*b*e^(4*d*x + 4*c) + 6*a*e^(2*d*x + 2*c) + 2*a + b)/(d*(e^(2*d*x + 2*c) + 1)^3)","A",0
291,1,153,0,0.154392," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(3 \, a + b\right)} + \frac{4 \, {\left(3 \, a {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 20 \, a {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 4 \, b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(3*a + b) + 4*(3*a*(e^(d*x + c) - e^(-d*x - c))^3 + b*(e^(d*x + c) - e^(-d*x - c))^3 + 20*a*(e^(d*x + c) - e^(-d*x - c)) - 4*b*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
292,1,83,0,0.153816," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{4 \, {\left(15 \, b e^{\left(6 \, d x + 6 \, c\right)} + 40 \, a e^{\left(4 \, d x + 4 \, c\right)} - 5 \, b e^{\left(4 \, d x + 4 \, c\right)} + 20 \, a e^{\left(2 \, d x + 2 \, c\right)} + 5 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + b\right)}}{15 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}"," ",0,"-4/15*(15*b*e^(6*d*x + 6*c) + 40*a*e^(4*d*x + 4*c) - 5*b*e^(4*d*x + 4*c) + 20*a*e^(2*d*x + 2*c) + 5*b*e^(2*d*x + 2*c) + 4*a + b)/(d*(e^(2*d*x + 2*c) + 1)^5)","A",0
293,1,191,0,0.157400," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{1}{128} \, {\left(48 \, a^{2} - 16 \, a b + 3 \, b^{2}\right)} x + \frac{b^{2} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} + \frac{a b e^{\left(6 \, d x + 6 \, c\right)}}{192 \, d} - \frac{a b e^{\left(-6 \, d x - 6 \, c\right)}}{192 \, d} - \frac{b^{2} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} + \frac{{\left(4 \, a^{2} + 4 \, a b - b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} + \frac{{\left(8 \, a^{2} - a b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{64 \, d} - \frac{{\left(8 \, a^{2} - a b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{64 \, d} - \frac{{\left(4 \, a^{2} + 4 \, a b - b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d}"," ",0,"1/128*(48*a^2 - 16*a*b + 3*b^2)*x + 1/2048*b^2*e^(8*d*x + 8*c)/d + 1/192*a*b*e^(6*d*x + 6*c)/d - 1/192*a*b*e^(-6*d*x - 6*c)/d - 1/2048*b^2*e^(-8*d*x - 8*c)/d + 1/256*(4*a^2 + 4*a*b - b^2)*e^(4*d*x + 4*c)/d + 1/64*(8*a^2 - a*b)*e^(2*d*x + 2*c)/d - 1/64*(8*a^2 - a*b)*e^(-2*d*x - 2*c)/d - 1/256*(4*a^2 + 4*a*b - b^2)*e^(-4*d*x - 4*c)/d","A",0
294,1,196,0,0.152204," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} - \frac{b^{2} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{{\left(8 \, a b - b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{2} + 8 \, a b - 3 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} + \frac{{\left(48 \, a^{2} - 16 \, a b + 3 \, b^{2}\right)} e^{\left(d x + c\right)}}{128 \, d} - \frac{{\left(48 \, a^{2} - 16 \, a b + 3 \, b^{2}\right)} e^{\left(-d x - c\right)}}{128 \, d} - \frac{{\left(16 \, a^{2} + 8 \, a b - 3 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} - \frac{{\left(8 \, a b - b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d}"," ",0,"1/896*b^2*e^(7*d*x + 7*c)/d - 1/896*b^2*e^(-7*d*x - 7*c)/d + 1/640*(8*a*b - b^2)*e^(5*d*x + 5*c)/d + 1/384*(16*a^2 + 8*a*b - 3*b^2)*e^(3*d*x + 3*c)/d + 1/128*(48*a^2 - 16*a*b + 3*b^2)*e^(d*x + c)/d - 1/128*(48*a^2 - 16*a*b + 3*b^2)*e^(-d*x - c)/d - 1/384*(16*a^2 + 8*a*b - 3*b^2)*e^(-3*d*x - 3*c)/d - 1/640*(8*a*b - b^2)*e^(-5*d*x - 5*c)/d","B",0
295,1,149,0,0.160748," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{1}{16} \, {\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} x + \frac{b^{2} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} - \frac{b^{2} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d} + \frac{{\left(4 \, a b - b^{2}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{128 \, d} + \frac{{\left(16 \, a^{2} - b^{2}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a^{2} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(4 \, a b - b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{128 \, d}"," ",0,"1/16*(8*a^2 - 4*a*b + b^2)*x + 1/384*b^2*e^(6*d*x + 6*c)/d - 1/384*b^2*e^(-6*d*x - 6*c)/d + 1/128*(4*a*b - b^2)*e^(4*d*x + 4*c)/d + 1/128*(16*a^2 - b^2)*e^(2*d*x + 2*c)/d - 1/128*(16*a^2 - b^2)*e^(-2*d*x - 2*c)/d - 1/128*(4*a*b - b^2)*e^(-4*d*x - 4*c)/d","A",0
296,1,134,0,0.146769," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} - \frac{b^{2} e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d} + \frac{{\left(8 \, a b - 3 \, b^{2}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{{\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} e^{\left(d x + c\right)}}{16 \, d} - \frac{{\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} e^{\left(-d x - c\right)}}{16 \, d} - \frac{{\left(8 \, a b - 3 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d}"," ",0,"1/160*b^2*e^(5*d*x + 5*c)/d - 1/160*b^2*e^(-5*d*x - 5*c)/d + 1/96*(8*a*b - 3*b^2)*e^(3*d*x + 3*c)/d + 1/16*(8*a^2 - 4*a*b + b^2)*e^(d*x + c)/d - 1/16*(8*a^2 - 4*a*b + b^2)*e^(-d*x - c)/d - 1/96*(8*a*b - 3*b^2)*e^(-3*d*x - 3*c)/d","B",0
297,1,102,0,0.156565," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a b e^{\left(d x + c\right)} - 15 \, b^{2} e^{\left(d x + c\right)} + 48 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(e^{\left(d x + c\right)}\right) - {\left(24 \, a b e^{\left(2 \, d x + 2 \, c\right)} - 15 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d}"," ",0,"1/24*(b^2*e^(3*d*x + 3*c) + 24*a*b*e^(d*x + c) - 15*b^2*e^(d*x + c) + 48*(a^2 - 2*a*b + b^2)*arctan(e^(d*x + c)) - (24*a*b*e^(2*d*x + 2*c) - 15*b^2*e^(2*d*x + 2*c) + b^2)*e^(-3*d*x - 3*c))/d","A",0
298,1,131,0,0.187430," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 4 \, {\left(4 \, a b - 3 \, b^{2}\right)} {\left(d x + c\right)} - \frac{4 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 16 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 28 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 14 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}}{e^{\left(4 \, d x + 4 \, c\right)} + e^{\left(2 \, d x + 2 \, c\right)}}}{8 \, d}"," ",0,"1/8*(b^2*e^(2*d*x + 2*c) + 4*(4*a*b - 3*b^2)*(d*x + c) - (4*a*b*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) + 16*a^2*e^(2*d*x + 2*c) - 28*a*b*e^(2*d*x + 2*c) + 14*b^2*e^(2*d*x + 2*c) + b^2)/(e^(4*d*x + 4*c) + e^(2*d*x + 2*c)))/d","B",0
299,1,163,0,0.172802," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(a^{2} + 2 \, a b - 3 \, b^{2}\right)} + \frac{4 \, {\left(a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 2 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4}}{4 \, d}"," ",0,"1/4*(2*b^2*(e^(d*x + c) - e^(-d*x - c)) + (pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(a^2 + 2*a*b - 3*b^2) + 4*(a^2*(e^(d*x + c) - e^(-d*x - c)) - 2*a*b*(e^(d*x + c) - e^(-d*x - c)) + b^2*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4))/d","B",0
300,1,98,0,0.191956," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} b^{2} - \frac{4 \, {\left(3 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} + a b - 2 \, b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*b^2 - 4*(3*a*b*e^(4*d*x + 4*c) - 3*b^2*e^(4*d*x + 4*c) + 3*a^2*e^(2*d*x + 2*c) - 3*b^2*e^(2*d*x + 2*c) + a^2 + a*b - 2*b^2)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
301,1,218,0,0.181813," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(3 \, a^{2} + 2 \, a b + 3 \, b^{2}\right)} + \frac{4 \, {\left(3 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 2 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} - 5 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 20 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 8 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 12 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*((pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(3*a^2 + 2*a*b + 3*b^2) + 4*(3*a^2*(e^(d*x + c) - e^(-d*x - c))^3 + 2*a*b*(e^(d*x + c) - e^(-d*x - c))^3 - 5*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 20*a^2*(e^(d*x + c) - e^(-d*x - c)) - 8*a*b*(e^(d*x + c) - e^(-d*x - c)) - 12*b^2*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
302,1,128,0,0.175645," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 60 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 20 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 30 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 40 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} + 20 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{2} + 4 \, a b + 3 \, b^{2}\right)}}{15 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}"," ",0,"-2/15*(15*b^2*e^(8*d*x + 8*c) + 60*a*b*e^(6*d*x + 6*c) + 80*a^2*e^(4*d*x + 4*c) - 20*a*b*e^(4*d*x + 4*c) + 30*b^2*e^(4*d*x + 4*c) + 40*a^2*e^(2*d*x + 2*c) + 20*a*b*e^(2*d*x + 2*c) + 8*a^2 + 4*a*b + 3*b^2)/(d*(e^(2*d*x + 2*c) + 1)^5)","B",0
303,1,291,0,0.220588," ","integrate(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(5 \, a^{2} + 2 \, a b + b^{2}\right)} + \frac{4 \, {\left(15 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 6 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 3 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 160 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 64 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} - 32 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 528 \, a^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 96 \, a b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 48 \, b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(5*a^2 + 2*a*b + b^2) + 4*(15*a^2*(e^(d*x + c) - e^(-d*x - c))^5 + 6*a*b*(e^(d*x + c) - e^(-d*x - c))^5 + 3*b^2*(e^(d*x + c) - e^(-d*x - c))^5 + 160*a^2*(e^(d*x + c) - e^(-d*x - c))^3 + 64*a*b*(e^(d*x + c) - e^(-d*x - c))^3 - 32*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 528*a^2*(e^(d*x + c) - e^(-d*x - c)) - 96*a*b*(e^(d*x + c) - e^(-d*x - c)) - 48*b^2*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^3)/d","B",0
304,1,293,0,0.192590," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(10 \, d x + 10 \, c\right)}}{10240 \, d} - \frac{b^{3} e^{\left(-10 \, d x - 10 \, c\right)}}{10240 \, d} + \frac{3}{256} \, {\left(32 \, a^{3} - 16 \, a^{2} b + 6 \, a b^{2} - b^{3}\right)} x + \frac{{\left(6 \, a b^{2} - b^{3}\right)} e^{\left(8 \, d x + 8 \, c\right)}}{4096 \, d} + \frac{{\left(16 \, a^{2} b - b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{2048 \, d} + \frac{{\left(8 \, a^{3} + 12 \, a^{2} b - 6 \, a b^{2} + b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{512 \, d} + \frac{{\left(128 \, a^{3} - 24 \, a^{2} b + b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{1024 \, d} - \frac{{\left(128 \, a^{3} - 24 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{1024 \, d} - \frac{{\left(8 \, a^{3} + 12 \, a^{2} b - 6 \, a b^{2} + b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{512 \, d} - \frac{{\left(16 \, a^{2} b - b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{2048 \, d} - \frac{{\left(6 \, a b^{2} - b^{3}\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{4096 \, d}"," ",0,"1/10240*b^3*e^(10*d*x + 10*c)/d - 1/10240*b^3*e^(-10*d*x - 10*c)/d + 3/256*(32*a^3 - 16*a^2*b + 6*a*b^2 - b^3)*x + 1/4096*(6*a*b^2 - b^3)*e^(8*d*x + 8*c)/d + 1/2048*(16*a^2*b - b^3)*e^(6*d*x + 6*c)/d + 1/512*(8*a^3 + 12*a^2*b - 6*a*b^2 + b^3)*e^(4*d*x + 4*c)/d + 1/1024*(128*a^3 - 24*a^2*b + b^3)*e^(2*d*x + 2*c)/d - 1/1024*(128*a^3 - 24*a^2*b + b^3)*e^(-2*d*x - 2*c)/d - 1/512*(8*a^3 + 12*a^2*b - 6*a*b^2 + b^3)*e^(-4*d*x - 4*c)/d - 1/2048*(16*a^2*b - b^3)*e^(-6*d*x - 6*c)/d - 1/4096*(6*a*b^2 - b^3)*e^(-8*d*x - 8*c)/d","A",0
305,1,286,0,0.193480," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(9 \, d x + 9 \, c\right)}}{4608 \, d} - \frac{b^{3} e^{\left(-9 \, d x - 9 \, c\right)}}{4608 \, d} + \frac{3 \, {\left(4 \, a b^{2} - b^{3}\right)} e^{\left(7 \, d x + 7 \, c\right)}}{3584 \, d} + \frac{3 \, {\left(4 \, a^{2} b - a b^{2}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{3} + 12 \, a^{2} b - 9 \, a b^{2} + 2 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{384 \, d} + \frac{3 \, {\left(32 \, a^{3} - 16 \, a^{2} b + 6 \, a b^{2} - b^{3}\right)} e^{\left(d x + c\right)}}{256 \, d} - \frac{3 \, {\left(32 \, a^{3} - 16 \, a^{2} b + 6 \, a b^{2} - b^{3}\right)} e^{\left(-d x - c\right)}}{256 \, d} - \frac{{\left(16 \, a^{3} + 12 \, a^{2} b - 9 \, a b^{2} + 2 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{384 \, d} - \frac{3 \, {\left(4 \, a^{2} b - a b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d} - \frac{3 \, {\left(4 \, a b^{2} - b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{3584 \, d}"," ",0,"1/4608*b^3*e^(9*d*x + 9*c)/d - 1/4608*b^3*e^(-9*d*x - 9*c)/d + 3/3584*(4*a*b^2 - b^3)*e^(7*d*x + 7*c)/d + 3/640*(4*a^2*b - a*b^2)*e^(5*d*x + 5*c)/d + 1/384*(16*a^3 + 12*a^2*b - 9*a*b^2 + 2*b^3)*e^(3*d*x + 3*c)/d + 3/256*(32*a^3 - 16*a^2*b + 6*a*b^2 - b^3)*e^(d*x + c)/d - 3/256*(32*a^3 - 16*a^2*b + 6*a*b^2 - b^3)*e^(-d*x - c)/d - 1/384*(16*a^3 + 12*a^2*b - 9*a*b^2 + 2*b^3)*e^(-3*d*x - 3*c)/d - 3/640*(4*a^2*b - a*b^2)*e^(-5*d*x - 5*c)/d - 3/3584*(4*a*b^2 - b^3)*e^(-7*d*x - 7*c)/d","B",0
306,1,231,0,0.175325," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(8 \, d x + 8 \, c\right)}}{2048 \, d} - \frac{b^{3} e^{\left(-8 \, d x - 8 \, c\right)}}{2048 \, d} + \frac{1}{128} \, {\left(64 \, a^{3} - 48 \, a^{2} b + 24 \, a b^{2} - 5 \, b^{3}\right)} x + \frac{{\left(3 \, a b^{2} - b^{3}\right)} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} + \frac{{\left(12 \, a^{2} b - 6 \, a b^{2} + b^{3}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{256 \, d} + \frac{{\left(16 \, a^{3} - 3 \, a b^{2} + b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} - \frac{{\left(16 \, a^{3} - 3 \, a b^{2} + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d} - \frac{{\left(12 \, a^{2} b - 6 \, a b^{2} + b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{256 \, d} - \frac{{\left(3 \, a b^{2} - b^{3}\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d}"," ",0,"1/2048*b^3*e^(8*d*x + 8*c)/d - 1/2048*b^3*e^(-8*d*x - 8*c)/d + 1/128*(64*a^3 - 48*a^2*b + 24*a*b^2 - 5*b^3)*x + 1/384*(3*a*b^2 - b^3)*e^(6*d*x + 6*c)/d + 1/256*(12*a^2*b - 6*a*b^2 + b^3)*e^(4*d*x + 4*c)/d + 1/128*(16*a^3 - 3*a*b^2 + b^3)*e^(2*d*x + 2*c)/d - 1/128*(16*a^3 - 3*a*b^2 + b^3)*e^(-2*d*x - 2*c)/d - 1/256*(12*a^2*b - 6*a*b^2 + b^3)*e^(-4*d*x - 4*c)/d - 1/384*(3*a*b^2 - b^3)*e^(-6*d*x - 6*c)/d","A",0
307,1,222,0,0.193834," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(7 \, d x + 7 \, c\right)}}{896 \, d} - \frac{b^{3} e^{\left(-7 \, d x - 7 \, c\right)}}{896 \, d} + \frac{{\left(12 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{640 \, d} + \frac{{\left(16 \, a^{2} b - 12 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{128 \, d} + \frac{{\left(64 \, a^{3} - 48 \, a^{2} b + 24 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(d x + c\right)}}{128 \, d} - \frac{{\left(64 \, a^{3} - 48 \, a^{2} b + 24 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(-d x - c\right)}}{128 \, d} - \frac{{\left(16 \, a^{2} b - 12 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{128 \, d} - \frac{{\left(12 \, a b^{2} - 5 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{640 \, d}"," ",0,"1/896*b^3*e^(7*d*x + 7*c)/d - 1/896*b^3*e^(-7*d*x - 7*c)/d + 1/640*(12*a*b^2 - 5*b^3)*e^(5*d*x + 5*c)/d + 1/128*(16*a^2*b - 12*a*b^2 + 3*b^3)*e^(3*d*x + 3*c)/d + 1/128*(64*a^3 - 48*a^2*b + 24*a*b^2 - 5*b^3)*e^(d*x + c)/d - 1/128*(64*a^3 - 48*a^2*b + 24*a*b^2 - 5*b^3)*e^(-d*x - c)/d - 1/128*(16*a^2*b - 12*a*b^2 + 3*b^3)*e^(-3*d*x - 3*c)/d - 1/640*(12*a*b^2 - 5*b^3)*e^(-5*d*x - 5*c)/d","B",0
308,1,204,0,0.205605," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} e^{\left(5 \, d x + 5 \, c\right)} + 60 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} - 35 \, b^{3} e^{\left(3 \, d x + 3 \, c\right)} + 720 \, a^{2} b e^{\left(d x + c\right)} - 900 \, a b^{2} e^{\left(d x + c\right)} + 330 \, b^{3} e^{\left(d x + c\right)} + 960 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \arctan\left(e^{\left(d x + c\right)}\right) - {\left(720 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 900 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 330 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 60 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 35 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{480 \, d}"," ",0,"1/480*(3*b^3*e^(5*d*x + 5*c) + 60*a*b^2*e^(3*d*x + 3*c) - 35*b^3*e^(3*d*x + 3*c) + 720*a^2*b*e^(d*x + c) - 900*a*b^2*e^(d*x + c) + 330*b^3*e^(d*x + c) + 960*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*arctan(e^(d*x + c)) - (720*a^2*b*e^(4*d*x + 4*c) - 900*a*b^2*e^(4*d*x + 4*c) + 330*b^3*e^(4*d*x + 4*c) + 60*a*b^2*e^(2*d*x + 2*c) - 35*b^3*e^(2*d*x + 2*c) + 3*b^3)*e^(-5*d*x - 5*c))/d","B",0
309,1,197,0,0.210247," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 24 \, {\left(8 \, a^{2} b - 12 \, a b^{2} + 5 \, b^{3}\right)} {\left(d x + c\right)} - {\left(144 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 216 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 90 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 16 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - \frac{128 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}}{e^{\left(2 \, d x + 2 \, c\right)} + 1}}{64 \, d}"," ",0,"1/64*(b^3*e^(4*d*x + 4*c) + 24*a*b^2*e^(2*d*x + 2*c) - 16*b^3*e^(2*d*x + 2*c) + 24*(8*a^2*b - 12*a*b^2 + 5*b^3)*(d*x + c) - (144*a^2*b*e^(4*d*x + 4*c) - 216*a*b^2*e^(4*d*x + 4*c) + 90*b^3*e^(4*d*x + 4*c) + 24*a*b^2*e^(2*d*x + 2*c) - 16*b^3*e^(2*d*x + 2*c) + b^3)*e^(-4*d*x - 4*c) - 128*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)/(e^(2*d*x + 2*c) + 1))/d","B",0
310,1,247,0,0.239719," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 36 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 24 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 6 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(a^{3} + 3 \, a^{2} b - 9 \, a b^{2} + 5 \, b^{3}\right)} + \frac{24 \, {\left(a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 3 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 3 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4}}{24 \, d}"," ",0,"1/24*(b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 36*a*b^2*(e^(d*x + c) - e^(-d*x - c)) - 24*b^3*(e^(d*x + c) - e^(-d*x - c)) + 6*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(a^3 + 3*a^2*b - 9*a*b^2 + 5*b^3) + 24*(a^3*(e^(d*x + c) - e^(-d*x - c)) - 3*a^2*b*(e^(d*x + c) - e^(-d*x - c)) + 3*a*b^2*(e^(d*x + c) - e^(-d*x - c)) - b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4))/d","B",0
311,1,208,0,0.228674," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, {\left(6 \, a b^{2} - 5 \, b^{3}\right)} {\left(d x + c\right)} - 3 \, {\left(12 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 10 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - \frac{16 \, {\left(9 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 18 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 18 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} + 3 \, a^{2} b - 12 \, a b^{2} + 7 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*b^3*e^(2*d*x + 2*c) + 12*(6*a*b^2 - 5*b^3)*(d*x + c) - 3*(12*a*b^2*e^(2*d*x + 2*c) - 10*b^3*e^(2*d*x + 2*c) + b^3)*e^(-2*d*x - 2*c) - 16*(9*a^2*b*e^(4*d*x + 4*c) - 18*a*b^2*e^(4*d*x + 4*c) + 9*b^3*e^(4*d*x + 4*c) + 6*a^3*e^(2*d*x + 2*c) - 18*a*b^2*e^(2*d*x + 2*c) + 12*b^3*e^(2*d*x + 2*c) + 2*a^3 + 3*a^2*b - 12*a*b^2 + 7*b^3)/(e^(2*d*x + 2*c) + 1)^3)/d","B",0
312,1,301,0,0.232093," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{8 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(a^{3} + a^{2} b + 3 \, a b^{2} - 5 \, b^{3}\right)} + \frac{4 \, {\left(3 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 3 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} - 15 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 9 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 20 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 12 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 36 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 28 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{2}}}{16 \, d}"," ",0,"1/16*(8*b^3*(e^(d*x + c) - e^(-d*x - c)) + 3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(a^3 + a^2*b + 3*a*b^2 - 5*b^3) + 4*(3*a^3*(e^(d*x + c) - e^(-d*x - c))^3 + 3*a^2*b*(e^(d*x + c) - e^(-d*x - c))^3 - 15*a*b^2*(e^(d*x + c) - e^(-d*x - c))^3 + 9*b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 20*a^3*(e^(d*x + c) - e^(-d*x - c)) - 12*a^2*b*(e^(d*x + c) - e^(-d*x - c)) - 36*a*b^2*(e^(d*x + c) - e^(-d*x - c)) + 28*b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^2)/d","B",0
313,1,213,0,0.248163," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, {\left(d x + c\right)} b^{3} - \frac{2 \, {\left(45 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 45 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 90 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 90 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 30 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 90 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 140 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 40 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 30 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - 70 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{3} + 6 \, a^{2} b + 9 \, a b^{2} - 23 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*(d*x + c)*b^3 - 2*(45*a*b^2*e^(8*d*x + 8*c) - 45*b^3*e^(8*d*x + 8*c) + 90*a^2*b*e^(6*d*x + 6*c) - 90*b^3*e^(6*d*x + 6*c) + 80*a^3*e^(4*d*x + 4*c) - 30*a^2*b*e^(4*d*x + 4*c) + 90*a*b^2*e^(4*d*x + 4*c) - 140*b^3*e^(4*d*x + 4*c) + 40*a^3*e^(2*d*x + 2*c) + 30*a^2*b*e^(2*d*x + 2*c) - 70*b^3*e^(2*d*x + 2*c) + 8*a^3 + 6*a^2*b + 9*a*b^2 - 23*b^3)/(e^(2*d*x + 2*c) + 1)^5)/d","B",0
314,1,383,0,0.235589," ","integrate(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}\right)\right)} {\left(5 \, a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + 5 \, b^{3}\right)} + \frac{4 \, {\left(15 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 9 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 9 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} - 33 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{5} + 160 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 96 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} - 96 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} - 160 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{3} + 528 \, a^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 144 \, a^{2} b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 144 \, a b^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} - 240 \, b^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}\right)}}{{\left({\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}^{2} + 4\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(pi + 2*arctan(1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)))*(5*a^3 + 3*a^2*b + 3*a*b^2 + 5*b^3) + 4*(15*a^3*(e^(d*x + c) - e^(-d*x - c))^5 + 9*a^2*b*(e^(d*x + c) - e^(-d*x - c))^5 + 9*a*b^2*(e^(d*x + c) - e^(-d*x - c))^5 - 33*b^3*(e^(d*x + c) - e^(-d*x - c))^5 + 160*a^3*(e^(d*x + c) - e^(-d*x - c))^3 + 96*a^2*b*(e^(d*x + c) - e^(-d*x - c))^3 - 96*a*b^2*(e^(d*x + c) - e^(-d*x - c))^3 - 160*b^3*(e^(d*x + c) - e^(-d*x - c))^3 + 528*a^3*(e^(d*x + c) - e^(-d*x - c)) - 144*a^2*b*(e^(d*x + c) - e^(-d*x - c)) - 144*a*b^2*(e^(d*x + c) - e^(-d*x - c)) - 240*b^3*(e^(d*x + c) - e^(-d*x - c)))/((e^(d*x + c) - e^(-d*x - c))^2 + 4)^3)/d","B",0
315,1,260,0,0.242260," ","integrate(sech(d*x+c)^8*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, b^{3} e^{\left(12 \, d x + 12 \, c\right)} + 210 \, a b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 560 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 210 \, a b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 175 \, b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 560 \, a^{3} e^{\left(6 \, d x + 6 \, c\right)} - 280 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 420 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 336 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 168 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 84 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 105 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 112 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 56 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 42 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 16 \, a^{3} + 8 \, a^{2} b + 6 \, a b^{2} + 5 \, b^{3}\right)}}{35 \, d {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{7}}"," ",0,"-2/35*(35*b^3*e^(12*d*x + 12*c) + 210*a*b^2*e^(10*d*x + 10*c) + 560*a^2*b*e^(8*d*x + 8*c) - 210*a*b^2*e^(8*d*x + 8*c) + 175*b^3*e^(8*d*x + 8*c) + 560*a^3*e^(6*d*x + 6*c) - 280*a^2*b*e^(6*d*x + 6*c) + 420*a*b^2*e^(6*d*x + 6*c) + 336*a^3*e^(4*d*x + 4*c) + 168*a^2*b*e^(4*d*x + 4*c) - 84*a*b^2*e^(4*d*x + 4*c) + 105*b^3*e^(4*d*x + 4*c) + 112*a^3*e^(2*d*x + 2*c) + 56*a^2*b*e^(2*d*x + 2*c) + 42*a*b^2*e^(2*d*x + 2*c) + 16*a^3 + 8*a^2*b + 6*a*b^2 + 5*b^3)/(d*(e^(2*d*x + 2*c) + 1)^7)","B",0
316,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-1,84]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-91,-60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,-40]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-85]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[1,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[70,33]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[14,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[39,-90]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[77,26]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-97,-57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-45]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-76,76]Undef/Unsigned Inf encountered in limitEvaluation time: 2.55Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
317,1,226,0,4.141747," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{8 \, {\left(8 \, a^{2} - 20 \, a b + 15 \, b^{2}\right)} {\left(d x + c\right)}}{b^{3}} + \frac{b e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a e^{\left(2 \, d x + 2 \, c\right)} + 16 \, b e^{\left(2 \, d x + 2 \, c\right)}}{b^{2}} - \frac{{\left(48 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 120 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 90 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 8 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 16 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{b^{3}} - \frac{64 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b^{3}}}{64 \, d}"," ",0,"1/64*(8*(8*a^2 - 20*a*b + 15*b^2)*(d*x + c)/b^3 + (b*e^(4*d*x + 4*c) - 8*a*e^(2*d*x + 2*c) + 16*b*e^(2*d*x + 2*c))/b^2 - (48*a^2*e^(4*d*x + 4*c) - 120*a*b*e^(4*d*x + 4*c) + 90*b^2*e^(4*d*x + 4*c) - 8*a*b*e^(2*d*x + 2*c) + 16*b^2*e^(2*d*x + 2*c) + b^2)*e^(-4*d*x - 4*c)/b^3 - 64*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b^3))/d","B",0
318,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[22,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[4,51]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[34,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[32,1]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[88,70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-81,37]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-90,65]Undef/Unsigned Inf encountered in limitEvaluation time: 2.06Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
319,1,138,0,2.933206," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(d x + c\right)} {\left(2 \, a - 3 \, b\right)}}{b^{2}} - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{b} - \frac{{\left(4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2}} - \frac{8 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b^{2}}}{8 \, d}"," ",0,"-1/8*(4*(d*x + c)*(2*a - 3*b)/b^2 - e^(2*d*x + 2*c)/b - (4*a*e^(2*d*x + 2*c) - 6*b*e^(2*d*x + 2*c) - b)*e^(-2*d*x - 2*c)/b^2 - 8*(a^2 - 2*a*b + b^2)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b^2))/d","A",0
320,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[4,51]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[34,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]Undef/Unsigned Inf encountered in limitEvaluation time: 1.54Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
321,1,68,0,1.566238," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(a - b\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b} - \frac{d x + c}{b}}{d}"," ",0,"-((a - b)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b) - (d*x + c)/b)/d","A",0
322,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-18,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-10,75]Undef/Unsigned Inf encountered in limitEvaluation time: 0.92Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
323,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
324,1,80,0,0.718916," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} {\left(a - b\right)}} + \frac{2}{{\left(a - b\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}}}{d}"," ",0,"-(b*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*(a - b)) + 2/((a - b)*(e^(2*d*x + 2*c) + 1)))/d","A",0
325,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Undef/Unsigned Inf encountered in limitEvaluation time: 0.52Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
326,1,138,0,0.677148," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{2} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a + 5 \, b\right)}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*b^2*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^2 - 2*a*b + b^2)*sqrt(-a^2 + a*b)) + 2*(3*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) + 12*b*e^(2*d*x + 2*c) - 2*a + 5*b)/((a^2 - 2*a*b + b^2)*(e^(2*d*x + 2*c) + 1)^3))/d","A",0
327,-2,0,0,0.000000," ","integrate(sech(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[31,78]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[46,18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,57]Undef/Unsigned Inf encountered in limitEvaluation time: 0.63Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
328,1,253,0,0.704227," ","integrate(sech(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, b^{3} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(15 \, b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 30 \, a b e^{\left(6 \, d x + 6 \, c\right)} + 90 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 230 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 240 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 40 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 130 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 150 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 \, a^{2} - 26 \, a b + 33 \, b^{2}\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, d}"," ",0,"-1/15*(15*b^3*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(-a^2 + a*b)) + 2*(15*b^2*e^(8*d*x + 8*c) - 30*a*b*e^(6*d*x + 6*c) + 90*b^2*e^(6*d*x + 6*c) + 80*a^2*e^(4*d*x + 4*c) - 230*a*b*e^(4*d*x + 4*c) + 240*b^2*e^(4*d*x + 4*c) + 40*a^2*e^(2*d*x + 2*c) - 130*a*b*e^(2*d*x + 2*c) + 150*b^2*e^(2*d*x + 2*c) + 8*a^2 - 26*a*b + 33*b^2)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(e^(2*d*x + 2*c) + 1)^5))/d","B",0
329,1,305,0,7.189673," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(d x + c\right)} {\left(4 \, a - 5 \, b\right)}}{b^{3}} - \frac{3 \, e^{\left(2 \, d x + 2 \, c\right)}}{b^{2}} - \frac{12 \, {\left(4 \, a^{3} - 7 \, a^{2} b + 2 \, a b^{2} + b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a b^{3}} - \frac{8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 10 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 64 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 79 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 28 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 44 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 24 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a b^{2}}{{\left(b e^{\left(6 \, d x + 6 \, c\right)} + 4 \, a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, b e^{\left(4 \, d x + 4 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)}\right)} a b^{3}}}{24 \, d}"," ",0,"-1/24*(12*(d*x + c)*(4*a - 5*b)/b^3 - 3*e^(2*d*x + 2*c)/b^2 - 12*(4*a^3 - 7*a^2*b + 2*a*b^2 + b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a*b^3) - (8*a^2*b*e^(6*d*x + 6*c) - 10*a*b^2*e^(6*d*x + 6*c) - 16*a^3*e^(4*d*x + 4*c) + 64*a^2*b*e^(4*d*x + 4*c) - 79*a*b^2*e^(4*d*x + 4*c) + 24*b^3*e^(4*d*x + 4*c) - 28*a^2*b*e^(2*d*x + 2*c) + 44*a*b^2*e^(2*d*x + 2*c) - 24*b^3*e^(2*d*x + 2*c) - 3*a*b^2)/((b*e^(6*d*x + 6*c) + 4*a*e^(4*d*x + 4*c) - 2*b*e^(4*d*x + 4*c) + b*e^(2*d*x + 2*c))*a*b^3))/d","B",0
330,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-92,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-90,-5]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-94,-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[36,-73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[91,55]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[17,-27]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[24,-71]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-39,-6]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[61,-49]Undef/Unsigned Inf encountered in limitEvaluation time: 2.51Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
331,1,178,0,5.395667," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x + c\right)}}{b^{2}} - \frac{{\left(2 \, a^{2} - a b - b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a b^{2}} + \frac{2 \, {\left(2 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a b e^{\left(2 \, d x + 2 \, c\right)} + b^{2} e^{\left(2 \, d x + 2 \, c\right)} + a b - b^{2}\right)}}{{\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} a b^{2}}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)/b^2 - (2*a^2 - a*b - b^2)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a*b^2) + 2*(2*a^2*e^(2*d*x + 2*c) - 3*a*b*e^(2*d*x + 2*c) + b^2*e^(2*d*x + 2*c) + a*b - b^2)/((b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)*a*b^2))/d","A",0
332,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-92,94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[44,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,-68]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-70,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-63,-1]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[91,-7]Undef/Unsigned Inf encountered in limitEvaluation time: 1.8Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
333,1,126,0,2.158769," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{\arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a} - \frac{2 \, {\left(2 \, a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}{{\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} a b}}{2 \, d}"," ",0,"1/2*(arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a) - 2*(2*a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) + b)/((b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)*a*b))/d","A",0
334,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-45,5]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-20]Undef/Unsigned Inf encountered in limitEvaluation time: 0.96Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
335,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
336,1,221,0,0.819751," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, a b - b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(4 \, a b e^{\left(4 \, d x + 4 \, c\right)} - b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b + b^{2}\right)}}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} {\left(b e^{\left(6 \, d x + 6 \, c\right)} + 4 \, a e^{\left(4 \, d x + 4 \, c\right)} - b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}}}{2 \, d}"," ",0,"-1/2*((4*a*b - b^2)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^3 - 2*a^2*b + a*b^2)*sqrt(-a^2 + a*b)) + 2*(4*a*b*e^(4*d*x + 4*c) - b^2*e^(4*d*x + 4*c) + 8*a^2*e^(2*d*x + 2*c) - 2*a*b*e^(2*d*x + 2*c) + 2*a*b + b^2)/((a^3 - 2*a^2*b + a*b^2)*(b*e^(6*d*x + 6*c) + 4*a*e^(4*d*x + 4*c) - b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) + b)))/d","B",0
337,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,-20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[66,-29]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-21,2]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Undef/Unsigned Inf encountered in limitEvaluation time: 0.74Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
338,1,270,0,0.811067," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, a b^{2} - b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} \sqrt{-a^{2} + a b}} + \frac{6 \, {\left(2 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{3} e^{\left(2 \, d x + 2 \, c\right)} + b^{3}\right)}}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}} + \frac{8 \, {\left(3 \, b e^{\left(4 \, d x + 4 \, c\right)} - 3 \, a e^{\left(2 \, d x + 2 \, c\right)} + 9 \, b e^{\left(2 \, d x + 2 \, c\right)} - a + 4 \, b\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*(6*a*b^2 - b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*sqrt(-a^2 + a*b)) + 6*(2*a*b^2*e^(2*d*x + 2*c) - b^3*e^(2*d*x + 2*c) + b^3)/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)) + 8*(3*b*e^(4*d*x + 4*c) - 3*a*e^(2*d*x + 2*c) + 9*b*e^(2*d*x + 2*c) - a + 4*b)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(e^(2*d*x + 2*c) + 1)^3))/d","B",0
339,1,353,0,8.404621," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(d x + c\right)}}{b^{3}} - \frac{{\left(8 \, a^{3} - 4 \, a^{2} b - a b^{2} - 3 \, b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a^{2} b^{3}} + \frac{2 \, {\left(16 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} - 20 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, a^{4} e^{\left(4 \, d x + 4 \, c\right)} - 72 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 18 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 15 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 9 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 32 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} - 28 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 13 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a^{2} b^{2} - 3 \, a b^{3} - 3 \, b^{4}\right)}}{{\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} a^{2} b^{3}}}{8 \, d}"," ",0,"1/8*(8*(d*x + c)/b^3 - (8*a^3 - 4*a^2*b - a*b^2 - 3*b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a^2*b^3) + 2*(16*a^3*b*e^(6*d*x + 6*c) - 20*a^2*b^2*e^(6*d*x + 6*c) + a*b^3*e^(6*d*x + 6*c) + 3*b^4*e^(6*d*x + 6*c) + 48*a^4*e^(4*d*x + 4*c) - 72*a^3*b*e^(4*d*x + 4*c) + 18*a^2*b^2*e^(4*d*x + 4*c) + 15*a*b^3*e^(4*d*x + 4*c) - 9*b^4*e^(4*d*x + 4*c) + 32*a^3*b*e^(2*d*x + 2*c) - 28*a^2*b^2*e^(2*d*x + 2*c) - 13*a*b^3*e^(2*d*x + 2*c) + 9*b^4*e^(2*d*x + 2*c) + 6*a^2*b^2 - 3*a*b^3 - 3*b^4)/((b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2*a^2*b^3))/d","B",0
340,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-62,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,-88]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[82,-14]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[42,-23]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[90,-28]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-71,-39]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[6,80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-27,31]Undef/Unsigned Inf encountered in limitEvaluation time: 4.35Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
341,1,244,0,5.485201," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a^{2}} - \frac{2 \, {\left(8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 18 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 16 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 9 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} + 3 \, b^{3}\right)}}{{\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2} a^{2} b^{2}}}{8 \, d}"," ",0,"1/8*(3*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a^2) - 2*(8*a^2*b*e^(6*d*x + 6*c) - 3*b^3*e^(6*d*x + 6*c) + 16*a^3*e^(4*d*x + 4*c) + 8*a^2*b*e^(4*d*x + 4*c) - 18*a*b^2*e^(4*d*x + 4*c) + 9*b^3*e^(4*d*x + 4*c) + 8*a^2*b*e^(2*d*x + 2*c) + 16*a*b^2*e^(2*d*x + 2*c) - 9*b^3*e^(2*d*x + 2*c) + 2*a*b^2 + 3*b^3)/((b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2*a^2*b^2))/d","B",0
342,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-78,38]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-75,-16]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-58,-64]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-72,82]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[27,42]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,90]Undef/Unsigned Inf encountered in limitEvaluation time: 2.89Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
343,1,269,0,3.744465," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(4 \, a - 3 \, b\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - a^{2} b\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(4 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} + 40 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 30 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 16 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 28 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 9 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a b^{2} + 3 \, b^{3}\right)}}{{\left(a^{3} b - a^{2} b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}}}{8 \, d}"," ",0,"1/8*((4*a - 3*b)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^3 - a^2*b)*sqrt(-a^2 + a*b)) + 2*(4*a*b^2*e^(6*d*x + 6*c) - 3*b^3*e^(6*d*x + 6*c) - 16*a^3*e^(4*d*x + 4*c) + 40*a^2*b*e^(4*d*x + 4*c) - 30*a*b^2*e^(4*d*x + 4*c) + 9*b^3*e^(4*d*x + 4*c) - 16*a^2*b*e^(2*d*x + 2*c) + 28*a*b^2*e^(2*d*x + 2*c) - 9*b^3*e^(2*d*x + 2*c) - 2*a*b^2 + 3*b^3)/((a^3*b - a^2*b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2))/d","B",0
344,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,-74]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-56,-37]Undef/Unsigned Inf encountered in limitEvaluation time: 2.01Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
345,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Undef/Unsigned Inf encountered in limitEvaluation time: 1.16Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
346,1,367,0,1.774610," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(8 \, a^{2} b - 4 \, a b^{2} + b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} \sqrt{-a^{2} + a b}} + \frac{2 \, {\left(16 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 12 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 80 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} - 104 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 54 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 9 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 64 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 52 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, a b^{3} - 3 \, b^{4}\right)}}{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}} + \frac{16}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}}}{8 \, d}"," ",0,"-1/8*(3*(8*a^2*b - 4*a*b^2 + b^3)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*sqrt(-a^2 + a*b)) + 2*(16*a^2*b^2*e^(6*d*x + 6*c) - 12*a*b^3*e^(6*d*x + 6*c) + 3*b^4*e^(6*d*x + 6*c) + 80*a^3*b*e^(4*d*x + 4*c) - 104*a^2*b^2*e^(4*d*x + 4*c) + 54*a*b^3*e^(4*d*x + 4*c) - 9*b^4*e^(4*d*x + 4*c) + 64*a^2*b^2*e^(2*d*x + 2*c) - 52*a*b^3*e^(2*d*x + 2*c) + 9*b^4*e^(2*d*x + 2*c) + 10*a*b^3 - 3*b^4)/((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2) + 16/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(e^(2*d*x + 2*c) + 1)))/d","B",0
347,-2,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[33,-80]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-98,-18]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-57,-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-53,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-1]schur row 3 -6.9034e-07Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-51,-3]Undef/Unsigned Inf encountered in limitEvaluation time: 1.66Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
348,1,436,0,1.776804," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(48 \, a^{2} b^{2} - 16 \, a b^{3} + 3 \, b^{4}\right)} \arctan\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a - b}{2 \, \sqrt{-a^{2} + a b}}\right)}{{\left(a^{6} - 4 \, a^{5} b + 6 \, a^{4} b^{2} - 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} \sqrt{-a^{2} + a b}} + \frac{6 \, {\left(24 \, a^{2} b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 16 \, a b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, b^{5} e^{\left(6 \, d x + 6 \, c\right)} + 112 \, a^{3} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 136 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 66 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 9 \, b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 88 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 64 \, a b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 14 \, a b^{4} - 3 \, b^{5}\right)}}{{\left(a^{6} - 4 \, a^{5} b + 6 \, a^{4} b^{2} - 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + b\right)}^{2}} + \frac{16 \, {\left(9 \, b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a e^{\left(2 \, d x + 2 \, c\right)} + 24 \, b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a + 11 \, b\right)}}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{24 \, d}"," ",0,"1/24*(3*(48*a^2*b^2 - 16*a*b^3 + 3*b^4)*arctan(1/2*(b*e^(2*d*x + 2*c) + 2*a - b)/sqrt(-a^2 + a*b))/((a^6 - 4*a^5*b + 6*a^4*b^2 - 4*a^3*b^3 + a^2*b^4)*sqrt(-a^2 + a*b)) + 6*(24*a^2*b^3*e^(6*d*x + 6*c) - 16*a*b^4*e^(6*d*x + 6*c) + 3*b^5*e^(6*d*x + 6*c) + 112*a^3*b^2*e^(4*d*x + 4*c) - 136*a^2*b^3*e^(4*d*x + 4*c) + 66*a*b^4*e^(4*d*x + 4*c) - 9*b^5*e^(4*d*x + 4*c) + 88*a^2*b^3*e^(2*d*x + 2*c) - 64*a*b^4*e^(2*d*x + 2*c) + 9*b^5*e^(2*d*x + 2*c) + 14*a*b^4 - 3*b^5)/((a^6 - 4*a^5*b + 6*a^4*b^2 - 4*a^3*b^3 + a^2*b^4)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - 2*b*e^(2*d*x + 2*c) + b)^2) + 16*(9*b*e^(4*d*x + 4*c) - 6*a*e^(2*d*x + 2*c) + 24*b*e^(2*d*x + 2*c) - 2*a + 11*b)/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*(e^(2*d*x + 2*c) + 1)^3))/d","B",0
349,1,41,0,0.144749," ","integrate(cosh(x)^2/(1-sinh(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - x"," ",0,"-1/2*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - x","B",0
350,1,37,0,0.140552," ","integrate(cosh(x)^3/(1-sinh(x)^2),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} - \frac{1}{2} \, e^{x} + \log\left({\left| -e^{\left(-x\right)} + e^{x} + 2 \right|}\right) - \log\left({\left| -e^{\left(-x\right)} + e^{x} - 2 \right|}\right)"," ",0,"1/2*e^(-x) - 1/2*e^x + log(abs(-e^(-x) + e^x + 2)) - log(abs(-e^(-x) + e^x - 2))","B",0
351,1,61,0,0.147571," ","integrate(cosh(x)^4/(1-sinh(x)^2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(10 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} - \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - \frac{5}{2} \, x - \frac{1}{8} \, e^{\left(2 \, x\right)}"," ",0,"1/8*(10*e^(2*x) + 1)*e^(-2*x) - sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - 5/2*x - 1/8*e^(2*x)","B",0
352,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
353,-2,0,0,0.000000," ","integrate(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
354,-2,0,0,0.000000," ","integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
355,-2,0,0,0.000000," ","integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
356,-2,0,0,0.000000," ","integrate(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
357,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
358,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
359,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
360,-2,0,0,0.000000," ","integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
361,-2,0,0,0.000000," ","integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
362,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
363,-2,0,0,0.000000," ","integrate(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
364,-2,0,0,0.000000," ","integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
365,-2,0,0,0.000000," ","integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
366,-2,0,0,0.000000," ","integrate(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
367,-2,0,0,0.000000," ","integrate(sech(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
368,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
369,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
370,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
371,-2,0,0,0.000000," ","integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
372,-2,0,0,0.000000," ","integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
373,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
374,-2,0,0,0.000000," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
375,-2,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
376,-2,0,0,0.000000," ","integrate(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
377,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
378,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
379,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
380,-2,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
381,-2,0,0,0.000000," ","integrate(sech(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
382,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
383,-2,0,0,0.000000," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
384,-2,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
385,-2,0,0,0.000000," ","integrate(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.41Error: Bad Argument Type","F(-2)",0
386,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
387,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
388,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
389,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
390,-2,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
391,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.5Error: Bad Argument Type","F(-2)",0
392,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.43Error: Bad Argument Type","F(-2)",0
393,-2,0,0,0.000000," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.46Error: Bad Argument Type","F(-2)",0
394,-2,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.49Error: Bad Argument Type","F(-2)",0
395,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.46Error: Bad Argument Type","F(-2)",0
396,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.44Error: Bad Argument Type","F(-2)",0
397,-2,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.41Error: Bad Argument Type","F(-2)",0
398,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
399,-2,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.47Error: Bad Argument Type","F(-2)",0
400,0,0,0,0.000000," ","integrate((d*cosh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \left(d \cosh\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*(d*cosh(f*x + e))^m, x)","F",0
401,0,0,0,0.000000," ","integrate(cosh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \cosh\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*cosh(f*x + e)^5, x)","F",0
402,0,0,0,0.000000," ","integrate(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \cosh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*cosh(f*x + e)^3, x)","F",0
403,0,0,0,0.000000," ","integrate(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \cosh\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*cosh(f*x + e), x)","F",0
404,0,0,0,0.000000," ","integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{sech}\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sech(f*x + e), x)","F",0
405,0,0,0,0.000000," ","integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{sech}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sech(f*x + e)^3, x)","F",0
406,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \cosh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*cosh(f*x + e)^4, x)","F",0
407,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \cosh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*cosh(f*x + e)^2, x)","F",0
408,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p, x)","F",0
409,0,0,0,0.000000," ","integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{sech}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sech(f*x + e)^2, x)","F",0
410,0,0,0,0.000000," ","integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \operatorname{sech}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*sech(f*x + e)^4, x)","F",0
411,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^(1/2)),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{5}}{b \sqrt{\sinh\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)^5/(b*sqrt(sinh(d*x + c)) + a), x)","F",0
412,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^(1/2)),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{3}}{b \sqrt{\sinh\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)^3/(b*sqrt(sinh(d*x + c)) + a), x)","F",0
413,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^(1/2)),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{b \sqrt{\sinh\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*sqrt(sinh(d*x + c)) + a), x)","F",0
414,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^(1/2)),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(d x + c\right)}{b \sqrt{\sinh\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(sech(d*x + c)/(b*sqrt(sinh(d*x + c)) + a), x)","F",0
415,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 7.79Unable to divide, perhaps due to rounding error%%%{-1729382256910270464,[0,42,80,42,0]%%%}+%%%{15996785876420001792,[0,42,80,40,0]%%%}+%%%{-68526771930069467136,[0,42,80,38,0]%%%}+%%%{180423208271716810752,[0,42,80,36,0]%%%}+%%%{-326747411964797911040,[0,42,80,34,0]%%%}+%%%{431598529639377534976,[0,42,80,32,0]%%%}+%%%{-430224087328099401728,[0,42,80,30,0]%%%}+%%%{330307894498327265280,[0,42,80,28,0]%%%}+%%%{-197600852044182192128,[0,42,80,26,0]%%%}+%%%{92585071508226834432,[0,42,80,24,0]%%%}+%%%{-33970440883023118336,[0,42,80,22,0]%%%}+%%%{9710760527558344704,[0,42,80,20,0]%%%}+%%%{-2140791573556756480,[0,42,80,18,0]%%%}+%%%{358224865469136896,[0,42,80,16,0]%%%}+%%%{-44470606778859520,[0,42,80,14,0]%%%}+%%%{3967229615931392,[0,42,80,12,0]%%%}+%%%{-243215139602432,[0,42,80,10,0]%%%}+%%%{9588782923776,[0,42,80,8,0]%%%}+%%%{-216560304128,[0,42,80,6,0]%%%}+%%%{2113929216,[0,42,80,4,0]%%%}+%%%{-630503947831869440,[0,38,84,38,0]%%%}+%%%{5201657569612922880,[0,38,84,36,0]%%%}+%%%{-19689737570863808512,[0,38,84,34,0]%%%}+%%%{45329293199437463552,[0,38,84,32,0]%%%}+%%%{-70927964587643895808,[0,38,84,30,0]%%%}+%%%{79847537163697651712,[0,38,84,28,0]%%%}+%%%{-66770948617534439424,[0,38,84,26,0]%%%}+%%%{42219726981528813568,[0,38,84,24,0]%%%}+%%%{-20353757381889359872,[0,38,84,22,0]%%%}+%%%{7488142989424852992,[0,38,84,20,0]%%%}+%%%{-2090414390313484288,[0,38,84,18,0]%%%}+%%%{437321867955535872,[0,38,84,16,0]%%%}+%%%{-67182577449959424,[0,38,84,14,0]%%%}+%%%{7352034554544128,[0,38,84,12,0]%%%}+%%%{-548079300247552,[0,38,84,10,0]%%%}+%%%{25997302824960,[0,38,84,8,0]%%%}+%%%{-697294651392,[0,38,84,6,0]%%%}+%%%{7969177600,[0,38,84,4,0]%%%}+%%%{-562949953421312,[0,36,68,36,1]%%%}+%%%{4503599627370496,[0,36,68,34,1]%%%}+%%%{-15621861207441408,[0,36,68,32,1]%%%}+%%%{30540034973106176,[0,36,68,30,1]%%%}+%%%{-35978219484086272,[0,36,68,28,1]%%%}+%%%{23762645299494912,[0,36,68,26,1]%%%}+%%%{-3508541604233216,[0,36,68,24,1]%%%}+%%%{-9089800065777664,[0,36,68,22,1]%%%}+%%%{9933383182319616,[0,36,68,20,1]%%%}+%%%{-5561664820740096,[0,36,68,18,1]%%%}+%%%{1991473255940096,[0,36,68,16,1]%%%}+%%%{-476780024561664,[0,36,68,14,1]%%%}+%%%{76036188405760,[0,36,68,12,1]%%%}+%%%{-7830362914816,[0,36,68,10,1]%%%}+%%%{492012830720,[0,36,68,8,1]%%%}+%%%{-17188257792,[0,36,68,6,1]%%%}+%%%{275775488,[0,36,68,4,1]%%%}+%%%{-1048576,[0,36,68,2,1]%%%}+%%%{-94575592174780416,[0,34,88,34,0]%%%}+%%%{686517468197289984,[0,34,88,32,0]%%%}+%%%{-2259821850521501696,[0,34,88,30,0]%%%}+%%%{4463612588491538432,[0,34,88,28,0]%%%}+%%%{-5899565978273972224,[0,34,88,26,0]%%%}+%%%{5508477388855443456,[0,34,88,24,0]%%%}+%%%{-3738978625572044800,[0,34,88,22,0]%%%}+%%%{1870074940166766592,[0,34,88,20,0]%%%}+%%%{-691108015142600704,[0,34,88,18,0]%%%}+%%%{187501856778354688,[0,34,88,16,0]%%%}+%%%{-36757706656186368,[0,34,88,14,0]%%%}+%%%{5067624664793088,[0,34,88,12,0]%%%}+%%%{-470798410186752,[0,34,88,10,0]%%%}+%%%{27533189840896,[0,34,88,8,0]%%%}+%%%{-898503802880,[0,34,88,6,0]%%%}+%%%{12297699328,[0,34,88,4,0]%%%}+%%%{193514046488576,[0,32,72,28,1]%%%}+%%%{-1162183790559232,[0,32,72,26,1]%%%}+%%%{3077258168238080,[0,32,72,24,1]%%%}+%%%{-4728243596820480,[0,32,72,22,1]%%%}+%%%{4669660242903040,[0,32,72,20,1]%%%}+%%%{-3102521165873152,[0,32,72,18,1]%%%}+%%%{1410863470739456,[0,32,72,16,1]%%%}+%%%{-438356441825280,[0,32,72,14,1]%%%}+%%%{91350129180672,[0,32,72,12,1]%%%}+%%%{-12302698938368,[0,32,72,10,1]%%%}+%%%{1006058340352,[0,32,72,8,1]%%%}+%%%{-45027950592,[0,32,72,6,1]%%%}+%%%{903872512,[0,32,72,4,1]%%%}+%%%{-4194304,[0,32,72,2,1]%%%}+%%%{-7564639999098880,[0,30,92,30,0]%%%}+%%%{47507698412945408,[0,30,92,28,0]%%%}+%%%{-133256411239940096,[0,30,92,26,0]%%%}+%%%{220312443392360448,[0,30,92,24,0]%%%}+%%%{-238605155782623232,[0,30,92,22,0]%%%}+%%%{177943827967901696,[0,30,92,20,0]%%%}+%%%{-93502168178360320,[0,30,92,18,0]%%%}+%%%{34825220481089536,[0,30,92,16,0]%%%}+%%%{-9124293485002752,[0,30,92,14,0]%%%}+%%%{1646232376180736,[0,30,92,12,0]%%%}+%%%{-196807145553920,[0,30,92,10,0]%%%}+%%%{14601882173440,[0,30,92,8,0]%%%}+%%%{-596228702208,[0,30,92,6,0]%%%}+%%%{10041163776,[0,30,92,4,0]%%%}+%%%{9895604649984,[0,30,56,30,2]%%%}+%%%{-66795331387392,[0,30,56,28,2]%%%}+%%%{200042396778496,[0,30,56,26,2]%%%}+%%%{-350091374231552,[0,30,56,24,2]%%%}+%%%{396906517757952,[0,30,56,22,2]%%%}+%%%{-305424788094976,[0,30,56,20,2]%%%}+%%%{162543305752576,[0,30,56,18,2]%%%}+%%%{-59851644338176,[0,30,56,16,2]%%%}+%%%{15024131145728,[0,30,56,14,2]%%%}+%%%{-2494298062848,[0,30,56,12,2]%%%}+%%%{261026217984,[0,30,56,10,2]%%%}+%%%{-16062087168,[0,30,56,8,2]%%%}+%%%{523763712,[0,30,56,6,2]%%%}+%%%{-6946816,[0,30,56,4,2]%%%}+%%%{23089744183296,[0,28,76,28,1]%%%}+%%%{-140737488355328,[0,28,76,26,1]%%%}+%%%{397473453441024,[0,28,76,24,1]%%%}+%%%{-686370133639168,[0,28,76,22,1]%%%}+%%%{799332068491264,[0,28,76,20,1]%%%}+%%%{-651106304655360,[0,28,76,18,1]%%%}+%%%{373432105566208,[0,28,76,16,1]%%%}+%%%{-149126633226240,[0,28,76,14,1]%%%}+%%%{40424886501376,[0,28,76,12,1]%%%}+%%%{-7134972477440,[0,28,76,10,1]%%%}+%%%{767515688960,[0,28,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/ %%%{4194304,[0,16,32,16,0]%%%}+%%%{-14680064,[0,16,32,14,0]%%%}+%%%{21233664,[0,16,32,12,0]%%%}+%%%{-16384000,[0,16,32,10,0]%%%}+%%%{7241728,[0,16,32,8,0]%%%}+%%%{-1818624,[0,16,32,6,0]%%%}+%%%{238592,[0,16,32,4,0]%%%}+%%%{-13312,[0,16,32,2,0]%%%}+%%%{256,[0,16,32,0,0]%%%}+%%%{786432,[0,12,36,12,0]%%%}+%%%{-1966080,[0,12,36,10,0]%%%}+%%%{1884160,[0,12,36,8,0]%%%}+%%%{-864256,[0,12,36,6,0]%%%}+%%%{191488,[0,12,36,4,0]%%%}+%%%{-17920,[0,12,36,2,0]%%%}+%%%{512,[0,12,36,0,0]%%%}+%%%{8192,[0,10,20,10,1]%%%}+%%%{-18432,[0,10,20,8,1]%%%}+%%%{13312,[0,10,20,6,1]%%%}+%%%{-3200,[0,10,20,4,1]%%%}+%%%{128,[0,10,20,2,1]%%%}+%%%{45056,[0,8,40,8,0]%%%}+%%%{-69632,[0,8,40,6,0]%%%}+%%%{35072,[0,8,40,4,0]%%%}+%%%{-6272,[0,8,40,2,0]%%%}+%%%{320,[0,8,40,0,0]%%%}+%%%{768,[0,6,24,6,1]%%%}+%%%{-960,[0,6,24,4,1]%%%}+%%%{224,[0,6,24,2,1]%%%}+%%%{768,[0,4,44,4,0]%%%}+%%%{-576,[0,4,44,2,0]%%%}+%%%{64,[0,4,44,0,0]%%%}+%%%{-12,[0,4,8,4,2]%%%}+%%%{12,[0,4,8,2,2]%%%}+%%%{-1,[0,4,8,0,2]%%%}+%%%{8,[0,2,28,2,1]%%%}+%%%{4,[0,0,48,0,0]%%%}+%%%{-1,[0,0,12,0,2]%%%} Error: Bad Argument Value","F(-2)",0
416,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitEvaluation time: 2.93Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
417,-2,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitEvaluation time: 1.04Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
418,-2,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
419,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{5}}{b \sinh\left(d x + c\right)^{n} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)^5/(b*sinh(d*x + c)^n + a), x)","F",0
420,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{3}}{b \sinh\left(d x + c\right)^{n} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)^3/(b*sinh(d*x + c)^n + a), x)","F",0
421,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^n),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{b \sinh\left(d x + c\right)^{n} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*sinh(d*x + c)^n + a), x)","F",0
422,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{5}}{{\left(b \sinh\left(d x + c\right)^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)^5/(b*sinh(d*x + c)^n + a)^2, x)","F",0
423,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)^{3}}{{\left(b \sinh\left(d x + c\right)^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)^3/(b*sinh(d*x + c)^n + a)^2, x)","F",0
424,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^n)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b \sinh\left(d x + c\right)^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*sinh(d*x + c)^n + a)^2, x)","F",0
425,1,25,0,0.130273," ","integrate(coth(x)/(1-sinh(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1 \right|}\right) + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-1/2*log(abs(e^(4*x) - 6*e^(2*x) + 1)) + log(abs(e^(2*x) - 1))","A",0
426,1,80,0,0.205035," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x, algorithm=""giac"")","\frac{\sqrt{a} {\left(\frac{8 \, {\left(3 \, e^{\left(5 \, f x + 5 \, e\right)} + 4 \, e^{\left(3 \, f x + 3 \, e\right)} + 3 \, e^{\left(f x + e\right)}\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{3}} + 3 \, e^{\left(f x + e\right)} + 3 \, e^{\left(-f x - e\right)}\right)}}{6 \, f}"," ",0,"1/6*sqrt(a)*(8*(3*e^(5*f*x + 5*e) + 4*e^(3*f*x + 3*e) + 3*e^(f*x + e))/(e^(2*f*x + 2*e) + 1)^3 + 3*e^(f*x + e) + 3*e^(-f*x - e))/f","A",0
427,1,53,0,0.190414," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x, algorithm=""giac"")","\frac{\sqrt{a} {\left(\frac{{\left(5 \, e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-e\right)}}{e^{\left(3 \, f x + 2 \, e\right)} + e^{\left(f x\right)}} + e^{\left(f x + e\right)}\right)}}{2 \, f}"," ",0,"1/2*sqrt(a)*((5*e^(2*f*x + 2*e) + 1)*e^(-e)/(e^(3*f*x + 2*e) + e^(f*x)) + e^(f*x + e))/f","A",0
428,1,26,0,0.135974," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x, algorithm=""giac"")","\frac{\sqrt{a} {\left(e^{\left(f x + e\right)} + e^{\left(-f x - e\right)}\right)}}{2 \, f}"," ",0,"1/2*sqrt(a)*(e^(f*x + e) + e^(-f*x - e))/f","A",0
429,1,51,0,0.137388," ","integrate(coth(f*x+e)*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{a} {\left(e^{\left(f x + e\right)} + e^{\left(-f x - e\right)} - 2 \, \log\left(e^{\left(f x + e\right)} + 1\right) + 2 \, \log\left({\left| e^{\left(f x + e\right)} - 1 \right|}\right)\right)}}{2 \, f}"," ",0,"1/2*sqrt(a)*(e^(f*x + e) + e^(-f*x - e) - 2*log(e^(f*x + e) + 1) + 2*log(abs(e^(f*x + e) - 1)))/f","A",0
430,1,89,0,0.149604," ","integrate(coth(f*x+e)^3*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a} {\left(\frac{2 \, {\left(e^{\left(3 \, f x + 3 \, e\right)} + e^{\left(f x + e\right)}\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} - 1\right)}^{2}} - e^{\left(f x + e\right)} - e^{\left(-f x - e\right)} + 3 \, \log\left(e^{\left(f x + e\right)} + 1\right) - 3 \, \log\left({\left| e^{\left(f x + e\right)} - 1 \right|}\right)\right)}}{2 \, f}"," ",0,"-1/2*sqrt(a)*(2*(e^(3*f*x + 3*e) + e^(f*x + e))/(e^(2*f*x + 2*e) - 1)^2 - e^(f*x + e) - e^(-f*x - e) + 3*log(e^(f*x + e) + 1) - 3*log(abs(e^(f*x + e) - 1)))/f","A",0
431,1,99,0,0.232350," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^6,x, algorithm=""giac"")","\frac{\sqrt{a} {\left(\frac{9 \, e^{\left(7 \, f x + 7 \, e\right)} + e^{\left(5 \, f x + 5 \, e\right)} - e^{\left(3 \, f x + 3 \, e\right)} - 9 \, e^{\left(f x + e\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{4}} - 15 \, \arctan\left(e^{\left(f x + e\right)}\right) + 2 \, e^{\left(f x + e\right)} - 2 \, e^{\left(-f x - e\right)}\right)}}{4 \, f}"," ",0,"1/4*sqrt(a)*((9*e^(7*f*x + 7*e) + e^(5*f*x + 5*e) - e^(3*f*x + 3*e) - 9*e^(f*x + e))/(e^(2*f*x + 2*e) + 1)^4 - 15*arctan(e^(f*x + e)) + 2*e^(f*x + e) - 2*e^(-f*x - e))/f","A",0
432,1,74,0,0.200853," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x, algorithm=""giac"")","\frac{\sqrt{a} {\left(\frac{2 \, {\left(e^{\left(3 \, f x + 3 \, e\right)} - e^{\left(f x + e\right)}\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{2}} - 6 \, \arctan\left(e^{\left(f x + e\right)}\right) + e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)}}{2 \, f}"," ",0,"1/2*sqrt(a)*(2*(e^(3*f*x + 3*e) - e^(f*x + e))/(e^(2*f*x + 2*e) + 1)^2 - 6*arctan(e^(f*x + e)) + e^(f*x + e) - e^(-f*x - e))/f","A",0
433,1,38,0,0.141821," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x, algorithm=""giac"")","-\frac{\sqrt{a} {\left(4 \, \arctan\left(e^{\left(f x + e\right)}\right) - e^{\left(f x + e\right)} + e^{\left(-f x - e\right)}\right)}}{2 \, f}"," ",0,"-1/2*sqrt(a)*(4*arctan(e^(f*x + e)) - e^(f*x + e) + e^(-f*x - e))/f","A",0
434,1,57,0,0.154740," ","integrate(coth(f*x+e)^2*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a} {\left(\frac{{\left(5 \, e^{\left(2 \, f x + 2 \, e\right)} - 1\right)} e^{\left(-e\right)}}{e^{\left(3 \, f x + 2 \, e\right)} - e^{\left(f x\right)}} - e^{\left(f x + e\right)}\right)}}{2 \, f}"," ",0,"-1/2*sqrt(a)*((5*e^(2*f*x + 2*e) - 1)*e^(-e)/(e^(3*f*x + 2*e) - e^(f*x)) - e^(f*x + e))/f","A",0
435,1,80,0,0.165837," ","integrate(coth(f*x+e)^4*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a} {\left(\frac{8 \, {\left(3 \, e^{\left(5 \, f x + 5 \, e\right)} - 4 \, e^{\left(3 \, f x + 3 \, e\right)} + 3 \, e^{\left(f x + e\right)}\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} - 1\right)}^{3}} - 3 \, e^{\left(f x + e\right)} + 3 \, e^{\left(-f x - e\right)}\right)}}{6 \, f}"," ",0,"-1/6*sqrt(a)*(8*(3*e^(5*f*x + 5*e) - 4*e^(3*f*x + 3*e) + 3*e^(f*x + e))/(e^(2*f*x + 2*e) - 1)^3 - 3*e^(f*x + e) + 3*e^(-f*x - e))/f","A",0
436,1,104,0,0.201118," ","integrate(coth(f*x+e)^6*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a} {\left(\frac{4 \, {\left(15 \, e^{\left(9 \, f x + 9 \, e\right)} - 40 \, e^{\left(7 \, f x + 7 \, e\right)} + 66 \, e^{\left(5 \, f x + 5 \, e\right)} - 40 \, e^{\left(3 \, f x + 3 \, e\right)} + 15 \, e^{\left(f x + e\right)}\right)}}{{\left(e^{\left(2 \, f x + 2 \, e\right)} - 1\right)}^{5}} - 5 \, e^{\left(f x + e\right)} + 5 \, e^{\left(-f x - e\right)}\right)}}{10 \, f}"," ",0,"-1/10*sqrt(a)*(4*(15*e^(9*f*x + 9*e) - 40*e^(7*f*x + 7*e) + 66*e^(5*f*x + 5*e) - 40*e^(3*f*x + 3*e) + 15*e^(f*x + e))/(e^(2*f*x + 2*e) - 1)^5 - 5*e^(f*x + e) + 5*e^(-f*x - e))/f","A",0
437,1,95,0,0.399115," ","integrate(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, \sqrt{a} e^{\left(9 \, f x + 9 \, e\right)} + 20 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} + 58 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 20 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)} + 15 \, \sqrt{a} e^{\left(f x + e\right)}\right)}}{15 \, a f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{5}}"," ",0,"-2/15*(15*sqrt(a)*e^(9*f*x + 9*e) + 20*sqrt(a)*e^(7*f*x + 7*e) + 58*sqrt(a)*e^(5*f*x + 5*e) + 20*sqrt(a)*e^(3*f*x + 3*e) + 15*sqrt(a)*e^(f*x + e))/(a*f*(e^(2*f*x + 2*e) + 1)^5)","A",0
438,1,65,0,0.314035," ","integrate(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 2 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)} + 3 \, \sqrt{a} e^{\left(f x + e\right)}\right)}}{3 \, a f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*sqrt(a)*e^(5*f*x + 5*e) + 2*sqrt(a)*e^(3*f*x + 3*e) + 3*sqrt(a)*e^(f*x + e))/(a*f*(e^(2*f*x + 2*e) + 1)^3)","A",0
439,1,29,0,0.198102," ","integrate(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, e^{\left(f x + e\right)}}{\sqrt{a} f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}}"," ",0,"-2*e^(f*x + e)/(sqrt(a)*f*(e^(2*f*x + 2*e) + 1))","A",0
440,-2,0,0,0.000000," ","integrate(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
441,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
442,1,96,0,0.359004," ","integrate(tanh(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, \arctan\left(e^{\left(f x + e\right)}\right)}{\sqrt{a}} - \frac{5 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} - 3 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 3 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)} - 5 \, \sqrt{a} e^{\left(f x + e\right)}}{a {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{4}}}{4 \, f}"," ",0,"1/4*(3*arctan(e^(f*x + e))/sqrt(a) - (5*sqrt(a)*e^(7*f*x + 7*e) - 3*sqrt(a)*e^(5*f*x + 5*e) + 3*sqrt(a)*e^(3*f*x + 3*e) - 5*sqrt(a)*e^(f*x + e))/(a*(e^(2*f*x + 2*e) + 1)^4))/f","A",0
443,1,63,0,0.268442," ","integrate(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{\arctan\left(e^{\left(f x + e\right)}\right)}{\sqrt{a}} - \frac{\sqrt{a} e^{\left(3 \, f x + 3 \, e\right)} - \sqrt{a} e^{\left(f x + e\right)}}{a {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{2}}}{f}"," ",0,"(arctan(e^(f*x + e))/sqrt(a) - (sqrt(a)*e^(3*f*x + 3*e) - sqrt(a)*e^(f*x + e))/(a*(e^(2*f*x + 2*e) + 1)^2))/f","A",0
444,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
445,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
446,-2,0,0,0.000000," ","integrate(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
447,1,98,0,0.535571," ","integrate(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{8 \, {\left(35 \, \sqrt{a} e^{\left(11 \, f x + 11 \, e\right)} - 28 \, \sqrt{a} e^{\left(9 \, f x + 9 \, e\right)} + 114 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} - 28 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 35 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)}\right)}}{105 \, a^{2} f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{7}}"," ",0,"-8/105*(35*sqrt(a)*e^(11*f*x + 11*e) - 28*sqrt(a)*e^(9*f*x + 9*e) + 114*sqrt(a)*e^(7*f*x + 7*e) - 28*sqrt(a)*e^(5*f*x + 5*e) + 35*sqrt(a)*e^(3*f*x + 3*e))/(a^2*f*(e^(2*f*x + 2*e) + 1)^7)","A",0
448,1,68,0,0.440694," ","integrate(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{8 \, {\left(5 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} - 2 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 5 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)}\right)}}{15 \, a^{2} f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{5}}"," ",0,"-8/15*(5*sqrt(a)*e^(7*f*x + 7*e) - 2*sqrt(a)*e^(5*f*x + 5*e) + 5*sqrt(a)*e^(3*f*x + 3*e))/(a^2*f*(e^(2*f*x + 2*e) + 1)^5)","A",0
449,1,32,0,0.296220," ","integrate(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{8 \, e^{\left(3 \, f x + 3 \, e\right)}}{3 \, a^{\frac{3}{2}} f {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{3}}"," ",0,"-8/3*e^(3*f*x + 3*e)/(a^(3/2)*f*(e^(2*f*x + 2*e) + 1)^3)","A",0
450,-2,0,0,0.000000," ","integrate(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
451,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
452,1,93,0,0.369298," ","integrate(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{\frac{\arctan\left(e^{\left(f x + e\right)}\right)}{a^{\frac{3}{2}}} + \frac{\sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} - 7 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 7 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)} - \sqrt{a} e^{\left(f x + e\right)}}{a^{2} {\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}^{4}}}{4 \, f}"," ",0,"1/4*(arctan(e^(f*x + e))/a^(3/2) + (sqrt(a)*e^(7*f*x + 7*e) - 7*sqrt(a)*e^(5*f*x + 5*e) + 7*sqrt(a)*e^(3*f*x + 3*e) - sqrt(a)*e^(f*x + e))/(a^2*(e^(2*f*x + 2*e) + 1)^4))/f","A",0
453,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
454,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3*exp(exp(1))^3+t_nostep*exp(exp(1)))]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
455,1,68,0,0.591648," ","integrate(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{8 \, {\left(5 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} + 2 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 5 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)}\right)}}{15 \, a^{2} f {\left(e^{\left(2 \, f x + 2 \, e\right)} - 1\right)}^{5}}"," ",0,"-8/15*(5*sqrt(a)*e^(7*f*x + 7*e) + 2*sqrt(a)*e^(5*f*x + 5*e) + 5*sqrt(a)*e^(3*f*x + 3*e))/(a^2*f*(e^(2*f*x + 2*e) - 1)^5)","A",0
456,1,98,0,0.664946," ","integrate(coth(f*x+e)^8/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{8 \, {\left(35 \, \sqrt{a} e^{\left(11 \, f x + 11 \, e\right)} + 28 \, \sqrt{a} e^{\left(9 \, f x + 9 \, e\right)} + 114 \, \sqrt{a} e^{\left(7 \, f x + 7 \, e\right)} + 28 \, \sqrt{a} e^{\left(5 \, f x + 5 \, e\right)} + 35 \, \sqrt{a} e^{\left(3 \, f x + 3 \, e\right)}\right)}}{105 \, a^{2} f {\left(e^{\left(2 \, f x + 2 \, e\right)} - 1\right)}^{7}}"," ",0,"-8/105*(35*sqrt(a)*e^(11*f*x + 11*e) + 28*sqrt(a)*e^(9*f*x + 9*e) + 114*sqrt(a)*e^(7*f*x + 7*e) + 28*sqrt(a)*e^(5*f*x + 5*e) + 35*sqrt(a)*e^(3*f*x + 3*e))/(a^2*f*(e^(2*f*x + 2*e) - 1)^7)","A",0
457,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.95Unable to divide, perhaps due to rounding error%%%{%%{[262144,0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,13]%%%}+%%%{%%{[%%%{-1572864,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,12]%%%}+%%%{%%{[%%%{3932160,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,11]%%%}+%%%{%%{[%%%{-5242880,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,10]%%%}+%%%{%%{[%%%{3932160,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,9]%%%}+%%%{%%{[%%%{-1572864,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,8]%%%}+%%%{%%{[%%%{262144,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,13,7]%%%}+%%%{%%%{-2621440,[1]%%%},[9,13,13]%%%}+%%%{%%%{15728640,[2]%%%},[9,13,12]%%%}+%%%{%%%{-39321600,[3]%%%},[9,13,11]%%%}+%%%{%%%{52428800,[4]%%%},[9,13,10]%%%}+%%%{%%%{-39321600,[5]%%%},[9,13,9]%%%}+%%%{%%%{15728640,[6]%%%},[9,13,8]%%%}+%%%{%%%{-2621440,[7]%%%},[9,13,7]%%%}+%%%{%%{[5242880,0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,14]%%%}+%%%{%%{[%%%{-24903680,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,13]%%%}+%%%{%%{[%%%{39321600,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,12]%%%}+%%%{%%{[%%%{-6553600,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,11]%%%}+%%%{%%{[%%%{-52428800,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,10]%%%}+%%%{%%{[%%%{66846720,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,9]%%%}+%%%{%%{[%%%{-34078720,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,8]%%%}+%%%{%%{[%%%{6553600,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,13,7]%%%}+%%%{%%%{-41943040,[1]%%%},[7,13,14]%%%}+%%%{%%%{262144000,[2]%%%},[7,13,13]%%%}+%%%{%%%{-692060160,[3]%%%},[7,13,12]%%%}+%%%{%%%{996147200,[4]%%%},[7,13,11]%%%}+%%%{%%%{-838860800,[5]%%%},[7,13,10]%%%}+%%%{%%%{408944640,[6]%%%},[7,13,9]%%%}+%%%{%%%{-104857600,[7]%%%},[7,13,8]%%%}+%%%{%%%{10485760,[8]%%%},[7,13,7]%%%}+%%%{%%{[41943040,0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,15]%%%}+%%%{%%{[%%%{-188743680,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,14]%%%}+%%%{%%{[%%%{201850880,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,13]%%%}+%%%{%%{[%%%{403701760,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,12]%%%}+%%%{%%{[%%%{-1376256000,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,11]%%%}+%%%{%%{[%%%{1688207360,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,10]%%%}+%%%{%%{[%%%{-1082654720,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,9]%%%}+%%%{%%{[%%%{361758720,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,8]%%%}+%%%{%%{[%%%{-49807360,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,13,7]%%%}+%%%{%%%{-251658240,[1]%%%},[5,13,15]%%%}+%%%{%%%{1719664640,[2]%%%},[5,13,14]%%%}+%%%{%%%{-5057282048,[3]%%%},[5,13,13]%%%}+%%%{%%%{8323596288,[4]%%%},[5,13,12]%%%}+%%%{%%%{-8330936320,[5]%%%},[5,13,11]%%%}+%%%{%%%{5138022400,[6]%%%},[5,13,10]%%%}+%%%{%%%{-1871708160,[7]%%%},[5,13,9]%%%}+%%%{%%%{354418688,[8]%%%},[5,13,8]%%%}+%%%{%%%{-24117248,[9]%%%},[5,13,7]%%%}+%%%{%%{[167772160,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,16]%%%}+%%%{%%{[%%%{-880803840,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,15]%%%}+%%%{%%{[%%%{1373634560,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,14]%%%}+%%%{%%{[%%%{1009254400,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,13]%%%}+%%%{%%{[%%%{-6716129280,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,12]%%%}+%%%{%%{[%%%{10881597440,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,11]%%%}+%%%{%%{[%%%{-9395240960,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,10]%%%}+%%%{%%{[%%%{4694999040,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,9]%%%}+%%%{%%{[%%%{-1284505600,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,8]%%%}+%%%{%%{[%%%{149422080,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,13,7]%%%}+%%%{%%%{-671088640,[1]%%%},[3,13,16]%%%}+%%%{%%%{5200936960,[2]%%%},[3,13,15]%%%}+%%%{%%%{-17741905920,[3]%%%},[3,13,14]%%%}+%%%{%%%{34907095040,[4]%%%},[3,13,13]%%%}+%%%{%%%{-43557847040,[5]%%%},[3,13,12]%%%}+%%%{%%%{35641098240,[6]%%%},[3,13,11]%%%}+%%%{%%%{-19042140160,[7]%%%},[3,13,10]%%%}+%%%{%%%{6364856320,[8]%%%},[3,13,9]%%%}+%%%{%%%{-1195376640,[9]%%%},[3,13,8]%%%}+%%%{%%%{94371840,[10]%%%},[3,13,7]%%%}+%%%{%%{[335544320,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,17]%%%}+%%%{%%{[%%%{-2348810240,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,16]%%%}+%%%{%%{[%%%{6668943360,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,15]%%%}+%%%{%%{[%%%{-8912896000,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,14]%%%}+%%%{%%{[%%%{2507407360,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,13]%%%}+%%%{%%{[%%%{10058465280,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,12]%%%}+%%%{%%{[%%%{-17292328960,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,11]%%%}+%%%{%%{[%%%{13961789440,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,10]%%%}+%%%{%%{[%%%{-6429081600,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,9]%%%}+%%%{%%{[%%%{1627914240,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,8]%%%}+%%%{%%{[%%%{-176947200,[10]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,13,7]%%%}+%%%{%%%{-671088640,[1]%%%},[1,13,17]%%%}+%%%{%%%{6039797760,[2]%%%},[1,13,16]%%%}+%%%{%%%{-24410849280,[3]%%%},[1,13,15]%%%}+%%%{%%%{58342768640,[4]%%%},[1,13,14]%%%}+%%%{%%%{-91312619520,[5]%%%},[1,13,13]%%%}+%%%{%%%{97784954880,[6]%%%},[1,13,12]%%%}+%%%{%%%{-72558837760,[7]%%%},[1,13,11]%%%}+%%%{%%%{36836474880,[8]%%%},[1,13,10]%%%}+%%%{%%%{-12244746240,[9]%%%},[1,13,9]%%%}+%%%{%%%{2406481920,[10]%%%},[1,13,8]%%%}+%%%{%%%{-212336640,[11]%%%},[1,13,7]%%%}+%%%{%%{[268435456,0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/ %%%{%%{poly1[%%%{1,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,0,0]%%%}+%%%{%%%{-10,[3]%%%},[9,0,0]%%%}+%%%{%%{[%%%{20,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,1]%%%}+%%%{%%{poly1[%%%{25,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,0]%%%}+%%%{%%%{-160,[3]%%%},[7,0,1]%%%}+%%%{%%%{40,[4]%%%},[7,0,0]%%%}+%%%{%%{poly1[%%%{160,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,2]%%%}+%%%{%%{[%%%{240,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,1]%%%}+%%%{%%{poly1[%%%{-190,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{-960,[3]%%%},[5,0,2]%%%}+%%%{%%%{800,[4]%%%},[5,0,1]%%%}+%%%{%%%{-92,[5]%%%},[5,0,0]%%%}+%%%{%%{[%%%{640,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,3]%%%}+%%%{%%{poly1[%%%{480,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,2]%%%}+%%%{%%{[%%%{-1480,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,1]%%%}+%%%{%%{poly1[%%%{570,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-2560,[3]%%%},[3,0,3]%%%}+%%%{%%%{4480,[4]%%%},[3,0,2]%%%}+%%%{%%%{-2400,[5]%%%},[3,0,1]%%%}+%%%{%%%{360,[6]%%%},[3,0,0]%%%}+%%%{%%{[%%%{1280,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,4]%%%}+%%%{%%{[%%%{-1280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,3]%%%}+%%%{%%{poly1[%%%{-1440,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,2]%%%}+%%%{%%{[%%%{2160,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,1]%%%}+%%%{%%{poly1[%%%{-675,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{-2560,[3]%%%},[1,0,4]%%%}+%%%{%%%{7680,[4]%%%},[1,0,3]%%%}+%%%{%%%{-8640,[5]%%%},[1,0,2]%%%}+%%%{%%%{4320,[6]%%%},[1,0,1]%%%}+%%%{%%%{-810,[7]%%%},[1,0,0]%%%}+%%%{%%{[%%%{1024,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,5]%%%}+%%%{%%{[%%%{-3840,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,4]%%%}+%%%{%%{[%%%{5760,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,3]%%%}+%%%{%%{poly1[%%%{-4320,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,2]%%%}+%%%{%%{[%%%{1620,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,1]%%%}+%%%{%%{poly1[%%%{-243,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
458,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.06Unable to divide, perhaps due to rounding error%%%{%%{[16384,0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9,9]%%%}+%%%{%%{[%%%{-65536,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9,8]%%%}+%%%{%%{[%%%{98304,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9,7]%%%}+%%%{%%{[%%%{-65536,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9,6]%%%}+%%%{%%{[%%%{16384,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9,5]%%%}+%%%{%%%{-98304,[1]%%%},[5,9,9]%%%}+%%%{%%%{393216,[2]%%%},[5,9,8]%%%}+%%%{%%%{-589824,[3]%%%},[5,9,7]%%%}+%%%{%%%{393216,[4]%%%},[5,9,6]%%%}+%%%{%%%{-98304,[5]%%%},[5,9,5]%%%}+%%%{%%{[196608,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9,10]%%%}+%%%{%%{[%%%{-737280,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9,9]%%%}+%%%{%%{[%%%{983040,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9,8]%%%}+%%%{%%{[%%%{-491520,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9,7]%%%}+%%%{%%{[%%%{49152,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9,5]%%%}+%%%{%%%{-786432,[1]%%%},[3,9,10]%%%}+%%%{%%%{3604480,[2]%%%},[3,9,9]%%%}+%%%{%%%{-6553600,[3]%%%},[3,9,8]%%%}+%%%{%%%{5898240,[4]%%%},[3,9,7]%%%}+%%%{%%%{-2621440,[5]%%%},[3,9,6]%%%}+%%%{%%%{458752,[6]%%%},[3,9,5]%%%}+%%%{%%{[786432,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,11]%%%}+%%%{%%{[%%%{-3538944,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,10]%%%}+%%%{%%{[%%%{6144000,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,9]%%%}+%%%{%%{[%%%{-4915200,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,8]%%%}+%%%{%%{[%%%{1474560,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,7]%%%}+%%%{%%{[%%%{196608,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,6]%%%}+%%%{%%{[%%%{-147456,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9,5]%%%}+%%%{%%%{-1572864,[1]%%%},[1,9,11]%%%}+%%%{%%%{8650752,[2]%%%},[1,9,10]%%%}+%%%{%%%{-19759104,[3]%%%},[1,9,9]%%%}+%%%{%%%{23986176,[4]%%%},[1,9,8]%%%}+%%%{%%%{-16318464,[5]%%%},[1,9,7]%%%}+%%%{%%%{5898240,[6]%%%},[1,9,6]%%%}+%%%{%%%{-884736,[7]%%%},[1,9,5]%%%}+%%%{%%{[1048576,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,12]%%%}+%%%{%%{[%%%{-6553600,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,11]%%%}+%%%{%%{[%%%{17498112,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,10]%%%}+%%%{%%{[%%%{-25870336,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,9]%%%}+%%%{%%{[%%%{22872064,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,8]%%%}+%%%{%%{[%%%{-12091392,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,7]%%%}+%%%{%%{[%%%{3538944,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,6]%%%}+%%%{%%{[%%%{-442368,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9,5]%%%} / %%%{%%{poly1[%%%{1,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{-6,[2]%%%},[5,0,0]%%%}+%%%{%%{[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,1]%%%}+%%%{%%{poly1[%%%{3,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-48,[2]%%%},[3,0,1]%%%}+%%%{%%%{28,[3]%%%},[3,0,0]%%%}+%%%{%%{[%%%{48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,2]%%%}+%%%{%%{[%%%{-24,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,1]%%%}+%%%{%%{poly1[%%%{-9,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{-96,[2]%%%},[1,0,2]%%%}+%%%{%%%{144,[3]%%%},[1,0,1]%%%}+%%%{%%%{-54,[4]%%%},[1,0,0]%%%}+%%%{%%{[%%%{64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,3]%%%}+%%%{%%{[%%%{-144,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,2]%%%}+%%%{%%{[%%%{108,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,1]%%%}+%%%{%%{poly1[%%%{-27,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
459,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-27]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[14]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-85]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-68]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-96]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[98]Evaluation time: 0.57index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
460,-2,0,0,0.000000," ","integrate(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[32]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[62]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[89]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-30]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[10]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[37]Evaluation time: 0.73index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
461,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.64Unable to divide, perhaps due to rounding error%%%{128,[6,12,6]%%%}+%%%{%%%{-384,[1]%%%},[6,12,5]%%%}+%%%{%%%{384,[2]%%%},[6,12,4]%%%}+%%%{%%%{-128,[3]%%%},[6,12,3]%%%}+%%%{%%{[768,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,6]%%%}+%%%{%%{[%%%{-2304,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,5]%%%}+%%%{%%{[%%%{2304,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,4]%%%}+%%%{%%{[%%%{-768,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,3]%%%}+%%%{-1536,[4,12,7]%%%}+%%%{%%%{6528,[1]%%%},[4,12,6]%%%}+%%%{%%%{-10368,[2]%%%},[4,12,5]%%%}+%%%{%%%{7296,[3]%%%},[4,12,4]%%%}+%%%{%%%{-1920,[4]%%%},[4,12,3]%%%}+%%%{%%{[-6144,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,7]%%%}+%%%{%%{[%%%{20992,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,6]%%%}+%%%{%%{[%%%{-26112,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,5]%%%}+%%%{%%{[%%%{13824,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,4]%%%}+%%%{%%{[%%%{-2560,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,3]%%%}+%%%{6144,[2,12,8]%%%}+%%%{%%%{-27648,[1]%%%},[2,12,7]%%%}+%%%{%%%{48000,[2]%%%},[2,12,6]%%%}+%%%{%%%{-39552,[3]%%%},[2,12,5]%%%}+%%%{%%%{14976,[4]%%%},[2,12,4]%%%}+%%%{%%%{-1920,[5]%%%},[2,12,3]%%%}+%%%{%%{[12288,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,8]%%%}+%%%{%%{[%%%{-43008,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,7]%%%}+%%%{%%{[%%%{56064,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,6]%%%}+%%%{%%{[%%%{-33024,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,5]%%%}+%%%{%%{[%%%{8448,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,4]%%%}+%%%{%%{[%%%{-768,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,3]%%%}+%%%{-8192,[0,12,9]%%%}+%%%{%%%{30720,[1]%%%},[0,12,8]%%%}+%%%{%%%{-44544,[2]%%%},[0,12,7]%%%}+%%%{%%%{31360,[3]%%%},[0,12,6]%%%}+%%%{%%%{-11136,[4]%%%},[0,12,5]%%%}+%%%{%%%{1920,[5]%%%},[0,12,4]%%%}+%%%{%%%{-128,[6]%%%},[0,12,3]%%%} / %%%{%%{poly1[%%%{1,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{6,[2]%%%},[5,0,0]%%%}+%%%{%%{[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,1]%%%}+%%%{%%{poly1[%%%{15,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-48,[2]%%%},[3,0,1]%%%}+%%%{%%%{20,[3]%%%},[3,0,0]%%%}+%%%{%%{[%%%{48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,2]%%%}+%%%{%%{[%%%{-72,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,1]%%%}+%%%{%%{poly1[%%%{15,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{96,[2]%%%},[1,0,2]%%%}+%%%{%%%{-48,[3]%%%},[1,0,1]%%%}+%%%{%%%{6,[4]%%%},[1,0,0]%%%}+%%%{%%{[%%%{-64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,3]%%%}+%%%{%%{[%%%{48,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,2]%%%}+%%%{%%{[%%%{-12,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,1]%%%}+%%%{%%{poly1[%%%{1,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
462,-2,0,0,0.000000," ","integrate(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.78Unable to divide, perhaps due to rounding error%%%{2048,[10,20,10]%%%}+%%%{%%%{-10240,[1]%%%},[10,20,9]%%%}+%%%{%%%{20480,[2]%%%},[10,20,8]%%%}+%%%{%%%{-20480,[3]%%%},[10,20,7]%%%}+%%%{%%%{10240,[4]%%%},[10,20,6]%%%}+%%%{%%%{-2048,[5]%%%},[10,20,5]%%%}+%%%{%%{[20480,0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,10]%%%}+%%%{%%{[%%%{-102400,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,9]%%%}+%%%{%%{[%%%{204800,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,8]%%%}+%%%{%%{[%%%{-204800,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,7]%%%}+%%%{%%{[%%%{102400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,6]%%%}+%%%{%%{[%%%{-20480,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,20,5]%%%}+%%%{-40960,[8,20,11]%%%}+%%%{%%%{296960,[1]%%%},[8,20,10]%%%}+%%%{%%%{-870400,[2]%%%},[8,20,9]%%%}+%%%{%%%{1331200,[3]%%%},[8,20,8]%%%}+%%%{%%%{-1126400,[4]%%%},[8,20,7]%%%}+%%%{%%%{501760,[5]%%%},[8,20,6]%%%}+%%%{%%%{-92160,[6]%%%},[8,20,5]%%%}+%%%{%%{[-327680,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,11]%%%}+%%%{%%{[%%%{1884160,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,10]%%%}+%%%{%%{[%%%{-4505600,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,9]%%%}+%%%{%%{[%%%{5734400,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,8]%%%}+%%%{%%{[%%%{-4096000,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,7]%%%}+%%%{%%{[%%%{1556480,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,6]%%%}+%%%{%%{[%%%{-245760,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,20,5]%%%}+%%%{327680,[6,20,12]%%%}+%%%{%%%{-2785280,[1]%%%},[6,20,11]%%%}+%%%{%%%{9441280,[2]%%%},[6,20,10]%%%}+%%%{%%%{-16896000,[3]%%%},[6,20,9]%%%}+%%%{%%%{17408000,[4]%%%},[6,20,8]%%%}+%%%{%%%{-10362880,[5]%%%},[6,20,7]%%%}+%%%{%%%{3297280,[6]%%%},[6,20,6]%%%}+%%%{%%%{-430080,[7]%%%},[6,20,5]%%%}+%%%{%%{[1966080,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,12]%%%}+%%%{%%{[%%%{-12124160,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,11]%%%}+%%%{%%{[%%%{31645696,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,10]%%%}+%%%{%%{[%%%{-45178880,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,9]%%%}+%%%{%%{[%%%{37928960,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,8]%%%}+%%%{%%{[%%%{-18595840,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,7]%%%}+%%%{%%{[%%%{4874240,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,6]%%%}+%%%{%%{[%%%{-516096,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,20,5]%%%}+%%%{-1310720,[4,20,13]%%%}+%%%{%%%{11468800,[1]%%%},[4,20,12]%%%}+%%%{%%%{-40550400,[2]%%%},[4,20,11]%%%}+%%%{%%%{77025280,[3]%%%},[4,20,10]%%%}+%%%{%%%{-86528000,[4]%%%},[4,20,9]%%%}+%%%{%%%{58859520,[5]%%%},[4,20,8]%%%}+%%%{%%%{-23552000,[6]%%%},[4,20,7]%%%}+%%%{%%%{5017600,[7]%%%},[4,20,6]%%%}+%%%{%%%{-430080,[8]%%%},[4,20,5]%%%}+%%%{%%{[-5242880,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,13]%%%}+%%%{%%{[%%%{32768000,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,12]%%%}+%%%{%%{[%%%{-87490560,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,11]%%%}+%%%{%%{[%%%{129679360,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,10]%%%}+%%%{%%{[%%%{-115916800,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,9]%%%}+%%%{%%{[%%%{63406080,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,8]%%%}+%%%{%%{[%%%{-20480000,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,7]%%%}+%%%{%%{[%%%{3522560,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,6]%%%}+%%%{%%{[%%%{-245760,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,20,5]%%%}+%%%{2621440,[2,20,14]%%%}+%%%{%%%{-20971520,[1]%%%},[2,20,13]%%%}+%%%{%%%{70451200,[2]%%%},[2,20,12]%%%}+%%%{%%%{-130580480,[3]%%%},[2,20,11]%%%}+%%%{%%%{146728960,[4]%%%},[2,20,10]%%%}+%%%{%%%{-103024640,[5]%%%},[2,20,9]%%%}+%%%{%%%{44830720,[6]%%%},[2,20,8]%%%}+%%%{%%%{-11571200,[7]%%%},[2,20,7]%%%}+%%%{%%%{1607680,[8]%%%},[2,20,6]%%%}+%%%{%%%{-92160,[9]%%%},[2,20,5]%%%}+%%%{%%{[5242880,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,14]%%%}+%%%{%%{[%%%{-31457280,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,13]%%%}+%%%{%%{[%%%{80609280,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,12]%%%}+%%%{%%{[%%%{-115015680,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,11]%%%}+%%%{%%{[%%%{99962880,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,10]%%%}+%%%{%%{[%%%{-54497280,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,9]%%%}+%%%{%%{[%%%{18554880,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,8]%%%}+%%%{%%{[%%%{-3809280,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,7]%%%}+%%%{%%{[%%%{430080,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,6]%%%}+%%%{%%{[%%%{-20480,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,20,5]%%%}+%%%{-2097152,[0,20,15]%%%}+%%%{%%%{13107200,[1]%%%},[0,20,14]%%%}+%%%{%%%{-35389440,[2]%%%},[0,20,13]%%%}+%%%{%%%{54067200,[3]%%%},[0,20,12]%%%}+%%%{%%%{-51486720,[4]%%%},[0,20,11]%%%}+%%%{%%%{31795200,[5]%%%},[0,20,10]%%%}+%%%{%%%{-12871680,[6]%%%},[0,20,9]%%%}+%%%{%%%{3379200,[7]%%%},[0,20,8]%%%}+%%%{%%%{-552960,[8]%%%},[0,20,7]%%%}+%%%{%%%{51200,[9]%%%},[0,20,6]%%%}+%%%{%%%{-2048,[10]%%%},[0,20,5]%%%} / %%%{%%{poly1[%%%{1,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,0,0]%%%}+%%%{%%%{10,[3]%%%},[9,0,0]%%%}+%%%{%%{[%%%{-20,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,1]%%%}+%%%{%%{poly1[%%%{45,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,0]%%%}+%%%{%%%{-160,[3]%%%},[7,0,1]%%%}+%%%{%%%{120,[4]%%%},[7,0,0]%%%}+%%%{%%{poly1[%%%{160,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,2]%%%}+%%%{%%{[%%%{-560,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,1]%%%}+%%%{%%{poly1[%%%{210,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{960,[3]%%%},[5,0,2]%%%}+%%%{%%%{-1120,[4]%%%},[5,0,1]%%%}+%%%{%%%{252,[5]%%%},[5,0,0]%%%}+%%%{%%{[%%%{-640,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,3]%%%}+%%%{%%{poly1[%%%{2400,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,2]%%%}+%%%{%%{[%%%{-1400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,1]%%%}+%%%{%%{poly1[%%%{210,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-2560,[3]%%%},[3,0,3]%%%}+%%%{%%%{3200,[4]%%%},[3,0,2]%%%}+%%%{%%%{-1120,[5]%%%},[3,0,1]%%%}+%%%{%%%{120,[6]%%%},[3,0,0]%%%}+%%%{%%{[%%%{1280,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,4]%%%}+%%%{%%{[%%%{-3840,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,3]%%%}+%%%{%%{poly1[%%%{2400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,2]%%%}+%%%{%%{[%%%{-560,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,1]%%%}+%%%{%%{poly1[%%%{45,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{2560,[3]%%%},[1,0,4]%%%}+%%%{%%%{-2560,[4]%%%},[1,0,3]%%%}+%%%{%%%{960,[5]%%%},[1,0,2]%%%}+%%%{%%%{-160,[6]%%%},[1,0,1]%%%}+%%%{%%%{10,[7]%%%},[1,0,0]%%%}+%%%{%%{[%%%{-1024,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,5]%%%}+%%%{%%{[%%%{1280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,4]%%%}+%%%{%%{[%%%{-640,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,3]%%%}+%%%{%%{poly1[%%%{160,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,2]%%%}+%%%{%%{[%%%{-20,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,1]%%%}+%%%{%%{poly1[%%%{1,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
463,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.36Unable to divide, perhaps due to rounding error%%%{65536,[8,11,11]%%%}+%%%{%%%{-327680,[1]%%%},[8,11,10]%%%}+%%%{%%%{655360,[2]%%%},[8,11,9]%%%}+%%%{%%%{-655360,[3]%%%},[8,11,8]%%%}+%%%{%%%{327680,[4]%%%},[8,11,7]%%%}+%%%{%%%{-65536,[5]%%%},[8,11,6]%%%}+%%%{%%{[-524288,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,11]%%%}+%%%{%%{[%%%{2621440,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,10]%%%}+%%%{%%{[%%%{-5242880,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,9]%%%}+%%%{%%{[%%%{5242880,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,8]%%%}+%%%{%%{[%%%{-2621440,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,7]%%%}+%%%{%%{[%%%{524288,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11,6]%%%}+%%%{1048576,[6,11,12]%%%}+%%%{%%%{-4456448,[1]%%%},[6,11,11]%%%}+%%%{%%%{6553600,[2]%%%},[6,11,10]%%%}+%%%{%%%{-2621440,[3]%%%},[6,11,9]%%%}+%%%{%%%{-2621440,[4]%%%},[6,11,8]%%%}+%%%{%%%{2883584,[5]%%%},[6,11,7]%%%}+%%%{%%%{-786432,[6]%%%},[6,11,6]%%%}+%%%{%%{[-6291456,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,12]%%%}+%%%{%%{[%%%{34078720,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,11]%%%}+%%%{%%{[%%%{-76021760,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,10]%%%}+%%%{%%{[%%%{89128960,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,9]%%%}+%%%{%%{[%%%{-57671680,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,8]%%%}+%%%{%%{[%%%{19398656,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,7]%%%}+%%%{%%{[%%%{-2621440,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11,6]%%%}+%%%{6291456,[4,11,13]%%%}+%%%{%%%{-28311552,[1]%%%},[4,11,12]%%%}+%%%{%%%{42336256,[2]%%%},[4,11,11]%%%}+%%%{%%%{-7208960,[3]%%%},[4,11,10]%%%}+%%%{%%%{-48496640,[4]%%%},[4,11,9]%%%}+%%%{%%%{57933824,[5]%%%},[4,11,8]%%%}+%%%{%%%{-27394048,[6]%%%},[4,11,7]%%%}+%%%{%%%{4849664,[7]%%%},[4,11,6]%%%}+%%%{%%{[-25165824,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,13]%%%}+%%%{%%{[%%%{155189248,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,12]%%%}+%%%{%%{[%%%{-406323200,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,11]%%%}+%%%{%%{[%%%{584581120,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,10]%%%}+%%%{%%{[%%%{-498073600,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,9]%%%}+%%%{%%{[%%%{250609664,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,8]%%%}+%%%{%%{[%%%{-68681728,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,7]%%%}+%%%{%%{[%%%{7864320,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11,6]%%%}+%%%{16777216,[2,11,14]%%%}+%%%{%%%{-96468992,[1]%%%},[2,11,13]%%%}+%%%{%%%{221249536,[2]%%%},[2,11,12]%%%}+%%%{%%%{-239337472,[3]%%%},[2,11,11]%%%}+%%%{%%%{79953920,[4]%%%},[2,11,10]%%%}+%%%{%%%{85458944,[5]%%%},[2,11,9]%%%}+%%%{%%%{-105381888,[6]%%%},[2,11,8]%%%}+%%%{%%%{44826624,[7]%%%},[2,11,7]%%%}+%%%{%%%{-7077888,[8]%%%},[2,11,6]%%%}+%%%{%%{[-33554432,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,14]%%%}+%%%{%%{[%%%{243269632,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,13]%%%}+%%%{%%{[%%%{-769654784,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,12]%%%}+%%%{%%{[%%%{1387790336,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,11]%%%}+%%%{%%{[%%%{-1559756800,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,10]%%%}+%%%{%%{[%%%{1118830592,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,9]%%%}+%%%{%%{[%%%{-500170752,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,8]%%%}+%%%{%%{[%%%{127401984,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,7]%%%}+%%%{%%{[%%%{-14155776,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11,6]%%%}+%%%{16777216,[0,11,15]%%%}+%%%{%%%{-134217728,[1]%%%},[0,11,14]%%%}+%%%{%%%{476053504,[2]%%%},[0,11,13]%%%}+%%%{%%%{-982515712,[3]%%%},[0,11,12]%%%}+%%%{%%%{1300299776,[4]%%%},[0,11,11]%%%}+%%%{%%%{-1144324096,[5]%%%},[0,11,10]%%%}+%%%{%%%{669646848,[6]%%%},[0,11,9]%%%}+%%%{%%%{-251265024,[7]%%%},[0,11,8]%%%}+%%%{%%%{54853632,[8]%%%},[0,11,7]%%%}+%%%{%%%{-5308416,[9]%%%},[0,11,6]%%%} / %%%{%%%{1,[2]%%%},[8,0,0]%%%}+%%%{%%{poly1[%%%{-8,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,0]%%%}+%%%{%%%{16,[2]%%%},[6,0,1]%%%}+%%%{%%%{12,[3]%%%},[6,0,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,1]%%%}+%%%{%%{poly1[%%%{40,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,0]%%%}+%%%{%%%{96,[2]%%%},[4,0,2]%%%}+%%%{%%%{48,[3]%%%},[4,0,1]%%%}+%%%{%%%{-74,[4]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{-384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,2]%%%}+%%%{%%{[%%%{448,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,1]%%%}+%%%{%%{poly1[%%%{-120,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{256,[2]%%%},[2,0,3]%%%}+%%%{%%%{-192,[3]%%%},[2,0,2]%%%}+%%%{%%%{-144,[4]%%%},[2,0,1]%%%}+%%%{%%%{108,[5]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-512,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,3]%%%}+%%%{%%{poly1[%%%{1152,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,2]%%%}+%%%{%%{[%%%{-864,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{216,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{256,[2]%%%},[0,0,4]%%%}+%%%{%%%{-768,[3]%%%},[0,0,3]%%%}+%%%{%%%{864,[4]%%%},[0,0,2]%%%}+%%%{%%%{-432,[5]%%%},[0,0,1]%%%}+%%%{%%%{81,[6]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
464,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.48Error: Bad Argument Type","F(-2)",0
465,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
466,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{64,[4,8,4]%%%}+%%%{%%%{-128,[1]%%%},[4,8,3]%%%}+%%%{%%%{64,[2]%%%},[4,8,2]%%%}+%%%{%%{[256,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,4]%%%}+%%%{%%{[%%%{-512,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,3]%%%}+%%%{%%{[%%%{256,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,2]%%%}+%%%{-512,[2,8,5]%%%}+%%%{%%%{1408,[1]%%%},[2,8,4]%%%}+%%%{%%%{-1280,[2]%%%},[2,8,3]%%%}+%%%{%%%{384,[3]%%%},[2,8,2]%%%}+%%%{%%{[-1024,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,5]%%%}+%%%{%%{[%%%{2304,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,4]%%%}+%%%{%%{[%%%{-1536,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,3]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,2]%%%}+%%%{1024,[0,8,6]%%%}+%%%{%%%{-2560,[1]%%%},[0,8,5]%%%}+%%%{%%%{2112,[2]%%%},[0,8,4]%%%}+%%%{%%%{-640,[3]%%%},[0,8,3]%%%}+%%%{%%%{64,[4]%%%},[0,8,2]%%%} / %%%{%%%{1,[1]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{-8,[1]%%%},[2,0,1]%%%}+%%%{%%%{6,[2]%%%},[2,0,0]%%%}+%%%{%%{poly1[%%%{-16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{4,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{16,[1]%%%},[0,0,2]%%%}+%%%{%%%{-8,[2]%%%},[0,0,1]%%%}+%%%{%%%{1,[3]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
467,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.95Unable to divide, perhaps due to rounding error%%%{1024,[8,16,8]%%%}+%%%{%%%{-4096,[1]%%%},[8,16,7]%%%}+%%%{%%%{6144,[2]%%%},[8,16,6]%%%}+%%%{%%%{-4096,[3]%%%},[8,16,5]%%%}+%%%{%%%{1024,[4]%%%},[8,16,4]%%%}+%%%{%%{[8192,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,16,8]%%%}+%%%{%%{[%%%{-32768,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,16,7]%%%}+%%%{%%{[%%%{49152,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,16,6]%%%}+%%%{%%{[%%%{-32768,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,16,5]%%%}+%%%{%%{[%%%{8192,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,16,4]%%%}+%%%{-16384,[6,16,9]%%%}+%%%{%%%{94208,[1]%%%},[6,16,8]%%%}+%%%{%%%{-212992,[2]%%%},[6,16,7]%%%}+%%%{%%%{237568,[3]%%%},[6,16,6]%%%}+%%%{%%%{-131072,[4]%%%},[6,16,5]%%%}+%%%{%%%{28672,[5]%%%},[6,16,4]%%%}+%%%{%%{[-98304,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,9]%%%}+%%%{%%{[%%%{450560,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,8]%%%}+%%%{%%{[%%%{-819200,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,7]%%%}+%%%{%%{[%%%{737280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,6]%%%}+%%%{%%{[%%%{-327680,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,5]%%%}+%%%{%%{[%%%{57344,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,16,4]%%%}+%%%{98304,[4,16,10]%%%}+%%%{%%%{-638976,[1]%%%},[4,16,9]%%%}+%%%{%%%{1644544,[2]%%%},[4,16,8]%%%}+%%%{%%%{-2154496,[3]%%%},[4,16,7]%%%}+%%%{%%%{1511424,[4]%%%},[4,16,6]%%%}+%%%{%%%{-532480,[5]%%%},[4,16,5]%%%}+%%%{%%%{71680,[6]%%%},[4,16,4]%%%}+%%%{%%{[393216,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,10]%%%}+%%%{%%{[%%%{-1900544,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,9]%%%}+%%%{%%{[%%%{3727360,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,8]%%%}+%%%{%%{[%%%{-3768320,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,7]%%%}+%%%{%%{[%%%{2048000,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,6]%%%}+%%%{%%{[%%%{-557056,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,5]%%%}+%%%{%%{[%%%{57344,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,16,4]%%%}+%%%{-262144,[2,16,11]%%%}+%%%{%%%{1638400,[1]%%%},[2,16,10]%%%}+%%%{%%%{-4177920,[2]%%%},[2,16,9]%%%}+%%%{%%%{5599232,[3]%%%},[2,16,8]%%%}+%%%{%%%{-4210688,[4]%%%},[2,16,7]%%%}+%%%{%%%{1744896,[5]%%%},[2,16,6]%%%}+%%%{%%%{-360448,[6]%%%},[2,16,5]%%%}+%%%{%%%{28672,[7]%%%},[2,16,4]%%%}+%%%{%%{[-524288,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,11]%%%}+%%%{%%{[%%%{2490368,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,10]%%%}+%%%{%%{[%%%{-4816896,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,9]%%%}+%%%{%%{[%%%{4857856,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,8]%%%}+%%%{%%{[%%%{-2719744,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,7]%%%}+%%%{%%{[%%%{835584,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,6]%%%}+%%%{%%{[%%%{-131072,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,5]%%%}+%%%{%%{[%%%{8192,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,16,4]%%%}+%%%{262144,[0,16,12]%%%}+%%%{%%%{-1310720,[1]%%%},[0,16,11]%%%}+%%%{%%%{2719744,[2]%%%},[0,16,10]%%%}+%%%{%%%{-3031040,[3]%%%},[0,16,9]%%%}+%%%{%%%{1967104,[4]%%%},[0,16,8]%%%}+%%%{%%%{-757760,[5]%%%},[0,16,7]%%%}+%%%{%%%{169984,[6]%%%},[0,16,6]%%%}+%%%{%%%{-20480,[7]%%%},[0,16,5]%%%}+%%%{%%%{1024,[8]%%%},[0,16,4]%%%} / %%%{%%%{1,[2]%%%},[8,0,0]%%%}+%%%{%%{poly1[%%%{8,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,0]%%%}+%%%{%%%{-16,[2]%%%},[6,0,1]%%%}+%%%{%%%{28,[3]%%%},[6,0,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,1]%%%}+%%%{%%{poly1[%%%{56,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,0]%%%}+%%%{%%%{96,[2]%%%},[4,0,2]%%%}+%%%{%%%{-240,[3]%%%},[4,0,1]%%%}+%%%{%%%{70,[4]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,2]%%%}+%%%{%%{[%%%{-320,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,1]%%%}+%%%{%%{poly1[%%%{56,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{-256,[2]%%%},[2,0,3]%%%}+%%%{%%%{576,[3]%%%},[2,0,2]%%%}+%%%{%%%{-240,[4]%%%},[2,0,1]%%%}+%%%{%%%{28,[5]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-512,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,3]%%%}+%%%{%%{poly1[%%%{384,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,2]%%%}+%%%{%%{[%%%{-96,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{8,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{256,[2]%%%},[0,0,4]%%%}+%%%{%%%{-256,[3]%%%},[0,0,3]%%%}+%%%{%%%{96,[4]%%%},[0,0,2]%%%}+%%%{%%%{-16,[5]%%%},[0,0,1]%%%}+%%%{%%%{1,[6]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
468,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 4.09Error: Bad Argument Type","F(-2)",0
469,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 2.96Error: Bad Argument Type","F(-2)",0
470,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[91]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[74]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-62]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-44]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-6]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-10]Evaluation time: 0.81index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
471,-2,0,0,0.000000," ","integrate(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[45]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[87]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[51]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-90]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-27]Evaluation time: 3.63index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
472,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.46Unable to divide, perhaps due to rounding error%%%{2,[6,0,8]%%%}+%%%{%%{[12,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,8]%%%}+%%%{-24,[4,1,8]%%%}+%%%{%%%{30,[1]%%%},[4,0,8]%%%}+%%%{%%{[-96,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,8]%%%}+%%%{%%{[%%%{40,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,8]%%%}+%%%{96,[2,2,8]%%%}+%%%{%%%{-144,[1]%%%},[2,1,8]%%%}+%%%{%%%{30,[2]%%%},[2,0,8]%%%}+%%%{%%{[192,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,8]%%%}+%%%{%%{[%%%{-96,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,8]%%%}+%%%{%%{[%%%{12,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,8]%%%}+%%%{-128,[0,3,8]%%%}+%%%{%%%{96,[1]%%%},[0,2,8]%%%}+%%%{%%%{-24,[2]%%%},[0,1,8]%%%}+%%%{%%%{2,[3]%%%},[0,0,8]%%%} / %%%{%%{poly1[%%%{1,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{6,[2]%%%},[5,0,0]%%%}+%%%{%%{[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,1,0]%%%}+%%%{%%{poly1[%%%{15,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-48,[2]%%%},[3,1,0]%%%}+%%%{%%%{20,[3]%%%},[3,0,0]%%%}+%%%{%%{[%%%{48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,0]%%%}+%%%{%%{[%%%{-72,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,1,0]%%%}+%%%{%%{poly1[%%%{15,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{96,[2]%%%},[1,2,0]%%%}+%%%{%%%{-48,[3]%%%},[1,1,0]%%%}+%%%{%%%{6,[4]%%%},[1,0,0]%%%}+%%%{%%{[%%%{-64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,0]%%%}+%%%{%%{[%%%{48,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,0]%%%}+%%%{%%{[%%%{-12,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,1,0]%%%}+%%%{%%{poly1[%%%{1,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
473,-2,0,0,0.000000," ","integrate(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 4.59Unable to divide, perhaps due to rounding error%%%{1,[10,0,12]%%%}+%%%{%%{[10,0]:[1,0,%%%{-1,[1]%%%}]%%},[9,0,12]%%%}+%%%{-20,[8,1,12]%%%}+%%%{%%%{45,[1]%%%},[8,0,12]%%%}+%%%{%%{[-160,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,1,12]%%%}+%%%{%%{[%%%{120,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,12]%%%}+%%%{160,[6,2,12]%%%}+%%%{%%%{-560,[1]%%%},[6,1,12]%%%}+%%%{%%%{210,[2]%%%},[6,0,12]%%%}+%%%{%%{[960,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,12]%%%}+%%%{%%{[%%%{-1120,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,12]%%%}+%%%{%%{[%%%{252,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,12]%%%}+%%%{-640,[4,3,12]%%%}+%%%{%%%{2400,[1]%%%},[4,2,12]%%%}+%%%{%%%{-1400,[2]%%%},[4,1,12]%%%}+%%%{%%%{210,[3]%%%},[4,0,12]%%%}+%%%{%%{[-2560,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,3,12]%%%}+%%%{%%{[%%%{3200,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,12]%%%}+%%%{%%{[%%%{-1120,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,12]%%%}+%%%{%%{[%%%{120,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,12]%%%}+%%%{1280,[2,4,12]%%%}+%%%{%%%{-3840,[1]%%%},[2,3,12]%%%}+%%%{%%%{2400,[2]%%%},[2,2,12]%%%}+%%%{%%%{-560,[3]%%%},[2,1,12]%%%}+%%%{%%%{45,[4]%%%},[2,0,12]%%%}+%%%{%%{[2560,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,4,12]%%%}+%%%{%%{[%%%{-2560,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3,12]%%%}+%%%{%%{[%%%{960,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,12]%%%}+%%%{%%{[%%%{-160,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,12]%%%}+%%%{%%{[%%%{10,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,12]%%%}+%%%{-1024,[0,5,12]%%%}+%%%{%%%{1280,[1]%%%},[0,4,12]%%%}+%%%{%%%{-640,[2]%%%},[0,3,12]%%%}+%%%{%%%{160,[3]%%%},[0,2,12]%%%}+%%%{%%%{-20,[4]%%%},[0,1,12]%%%}+%%%{%%%{1,[5]%%%},[0,0,12]%%%} / %%%{%%{poly1[%%%{1,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,0,0]%%%}+%%%{%%%{10,[3]%%%},[9,0,0]%%%}+%%%{%%{[%%%{-20,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,1,0]%%%}+%%%{%%{poly1[%%%{45,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,0]%%%}+%%%{%%%{-160,[3]%%%},[7,1,0]%%%}+%%%{%%%{120,[4]%%%},[7,0,0]%%%}+%%%{%%{poly1[%%%{160,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,0]%%%}+%%%{%%{[%%%{-560,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,1,0]%%%}+%%%{%%{poly1[%%%{210,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{960,[3]%%%},[5,2,0]%%%}+%%%{%%%{-1120,[4]%%%},[5,1,0]%%%}+%%%{%%%{252,[5]%%%},[5,0,0]%%%}+%%%{%%{[%%%{-640,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,0]%%%}+%%%{%%{poly1[%%%{2400,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,0]%%%}+%%%{%%{[%%%{-1400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,1,0]%%%}+%%%{%%{poly1[%%%{210,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-2560,[3]%%%},[3,3,0]%%%}+%%%{%%%{3200,[4]%%%},[3,2,0]%%%}+%%%{%%%{-1120,[5]%%%},[3,1,0]%%%}+%%%{%%%{120,[6]%%%},[3,0,0]%%%}+%%%{%%{[%%%{1280,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,0]%%%}+%%%{%%{[%%%{-3840,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,0]%%%}+%%%{%%{poly1[%%%{2400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,0]%%%}+%%%{%%{[%%%{-560,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,1,0]%%%}+%%%{%%{poly1[%%%{45,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{2560,[3]%%%},[1,4,0]%%%}+%%%{%%%{-2560,[4]%%%},[1,3,0]%%%}+%%%{%%%{960,[5]%%%},[1,2,0]%%%}+%%%{%%%{-160,[6]%%%},[1,1,0]%%%}+%%%{%%%{10,[7]%%%},[1,0,0]%%%}+%%%{%%{[%%%{-1024,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,5,0]%%%}+%%%{%%{[%%%{1280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,0]%%%}+%%%{%%{[%%%{-640,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,0]%%%}+%%%{%%{poly1[%%%{160,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,0]%%%}+%%%{%%{[%%%{-20,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,1,0]%%%}+%%%{%%{poly1[%%%{1,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
474,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 2.27Unable to divide, perhaps due to rounding error%%%{-786432,[8,13,12]%%%}+%%%{%%%{3932160,[1]%%%},[8,13,11]%%%}+%%%{%%%{-7864320,[2]%%%},[8,13,10]%%%}+%%%{%%%{7864320,[3]%%%},[8,13,9]%%%}+%%%{%%%{-3932160,[4]%%%},[8,13,8]%%%}+%%%{%%%{786432,[5]%%%},[8,13,7]%%%}+%%%{%%{[6291456,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,12]%%%}+%%%{%%{[%%%{-31457280,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,11]%%%}+%%%{%%{[%%%{62914560,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,10]%%%}+%%%{%%{[%%%{-62914560,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,9]%%%}+%%%{%%{[%%%{31457280,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,8]%%%}+%%%{%%{[%%%{-6291456,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13,7]%%%}+%%%{-12582912,[6,13,13]%%%}+%%%{%%%{53477376,[1]%%%},[6,13,12]%%%}+%%%{%%%{-78643200,[2]%%%},[6,13,11]%%%}+%%%{%%%{31457280,[3]%%%},[6,13,10]%%%}+%%%{%%%{31457280,[4]%%%},[6,13,9]%%%}+%%%{%%%{-34603008,[5]%%%},[6,13,8]%%%}+%%%{%%%{9437184,[6]%%%},[6,13,7]%%%}+%%%{%%{[75497472,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,13]%%%}+%%%{%%{[%%%{-408944640,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,12]%%%}+%%%{%%{[%%%{912261120,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,11]%%%}+%%%{%%{[%%%{-1069547520,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,10]%%%}+%%%{%%{[%%%{692060160,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,9]%%%}+%%%{%%{[%%%{-232783872,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,8]%%%}+%%%{%%{[%%%{31457280,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13,7]%%%}+%%%{-75497472,[4,13,14]%%%}+%%%{%%%{339738624,[1]%%%},[4,13,13]%%%}+%%%{%%%{-508035072,[2]%%%},[4,13,12]%%%}+%%%{%%%{86507520,[3]%%%},[4,13,11]%%%}+%%%{%%%{581959680,[4]%%%},[4,13,10]%%%}+%%%{%%%{-695205888,[5]%%%},[4,13,9]%%%}+%%%{%%%{328728576,[6]%%%},[4,13,8]%%%}+%%%{%%%{-58195968,[7]%%%},[4,13,7]%%%}+%%%{%%{[301989888,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,14]%%%}+%%%{%%{[%%%{-1862270976,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,13]%%%}+%%%{%%{[%%%{4875878400,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,12]%%%}+%%%{%%{[%%%{-7014973440,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,11]%%%}+%%%{%%{[%%%{5976883200,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,10]%%%}+%%%{%%{[%%%{-3007315968,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,9]%%%}+%%%{%%{[%%%{824180736,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,8]%%%}+%%%{%%{[%%%{-94371840,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13,7]%%%}+%%%{-201326592,[2,13,15]%%%}+%%%{%%%{1157627904,[1]%%%},[2,13,14]%%%}+%%%{%%%{-2654994432,[2]%%%},[2,13,13]%%%}+%%%{%%%{2872049664,[3]%%%},[2,13,12]%%%}+%%%{%%%{-959447040,[4]%%%},[2,13,11]%%%}+%%%{%%%{-1025507328,[5]%%%},[2,13,10]%%%}+%%%{%%%{1264582656,[6]%%%},[2,13,9]%%%}+%%%{%%%{-537919488,[7]%%%},[2,13,8]%%%}+%%%{%%%{84934656,[8]%%%},[2,13,7]%%%}+%%%{%%{[402653184,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,15]%%%}+%%%{%%{[%%%{-2919235584,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,14]%%%}+%%%{%%{[%%%{9235857408,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,13]%%%}+%%%{%%{[%%%{-16653484032,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,12]%%%}+%%%{%%{[%%%{18717081600,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,11]%%%}+%%%{%%{[%%%{-13425967104,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,10]%%%}+%%%{%%{[%%%{6002049024,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,9]%%%}+%%%{%%{[%%%{-1528823808,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,8]%%%}+%%%{%%{[%%%{169869312,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13,7]%%%}+%%%{-201326592,[0,13,16]%%%}+%%%{%%%{1610612736,[1]%%%},[0,13,15]%%%}+%%%{%%%{-5712642048,[2]%%%},[0,13,14]%%%}+%%%{%%%{11790188544,[3]%%%},[0,13,13]%%%}+%%%{%%%{-15603597312,[4]%%%},[0,13,12]%%%}+%%%{%%%{13731889152,[5]%%%},[0,13,11]%%%}+%%%{%%%{-8035762176,[6]%%%},[0,13,10]%%%}+%%%{%%%{3015180288,[7]%%%},[0,13,9]%%%}+%%%{%%%{-658243584,[8]%%%},[0,13,8]%%%}+%%%{%%%{63700992,[9]%%%},[0,13,7]%%%} / %%%{%%%{1,[2]%%%},[8,0,0]%%%}+%%%{%%{poly1[%%%{-8,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,0]%%%}+%%%{%%%{16,[2]%%%},[6,0,1]%%%}+%%%{%%%{12,[3]%%%},[6,0,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,1]%%%}+%%%{%%{poly1[%%%{40,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,0]%%%}+%%%{%%%{96,[2]%%%},[4,0,2]%%%}+%%%{%%%{48,[3]%%%},[4,0,1]%%%}+%%%{%%%{-74,[4]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{-384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,2]%%%}+%%%{%%{[%%%{448,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,1]%%%}+%%%{%%{poly1[%%%{-120,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{256,[2]%%%},[2,0,3]%%%}+%%%{%%%{-192,[3]%%%},[2,0,2]%%%}+%%%{%%%{-144,[4]%%%},[2,0,1]%%%}+%%%{%%%{108,[5]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-512,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,3]%%%}+%%%{%%{poly1[%%%{1152,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,2]%%%}+%%%{%%{[%%%{-864,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{216,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{256,[2]%%%},[0,0,4]%%%}+%%%{%%%{-768,[3]%%%},[0,0,3]%%%}+%%%{%%%{864,[4]%%%},[0,0,2]%%%}+%%%{%%%{-432,[5]%%%},[0,0,1]%%%}+%%%{%%%{81,[6]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
475,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 2.39Error: Bad Argument Type","F(-2)",0
476,-2,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
477,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.74Unable to divide, perhaps due to rounding error%%%{64,[4,8,4]%%%}+%%%{%%%{-128,[1]%%%},[4,8,3]%%%}+%%%{%%%{64,[2]%%%},[4,8,2]%%%}+%%%{%%{[256,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,4]%%%}+%%%{%%{[%%%{-512,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,3]%%%}+%%%{%%{[%%%{256,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,2]%%%}+%%%{-512,[2,8,5]%%%}+%%%{%%%{1408,[1]%%%},[2,8,4]%%%}+%%%{%%%{-1280,[2]%%%},[2,8,3]%%%}+%%%{%%%{384,[3]%%%},[2,8,2]%%%}+%%%{%%{[-1024,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,5]%%%}+%%%{%%{[%%%{2304,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,4]%%%}+%%%{%%{[%%%{-1536,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,3]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,2]%%%}+%%%{1024,[0,8,6]%%%}+%%%{%%%{-2560,[1]%%%},[0,8,5]%%%}+%%%{%%%{2112,[2]%%%},[0,8,4]%%%}+%%%{%%%{-640,[3]%%%},[0,8,3]%%%}+%%%{%%%{64,[4]%%%},[0,8,2]%%%} / %%%{%%%{1,[1]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{-8,[1]%%%},[2,0,1]%%%}+%%%{%%%{6,[2]%%%},[2,0,0]%%%}+%%%{%%{poly1[%%%{-16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{4,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{16,[1]%%%},[0,0,2]%%%}+%%%{%%%{-8,[2]%%%},[0,0,1]%%%}+%%%{%%%{1,[3]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
478,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.99Unable to divide, perhaps due to rounding error%%%{1,[8,0,10]%%%}+%%%{%%{[8,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,10]%%%}+%%%{-16,[6,1,10]%%%}+%%%{%%%{28,[1]%%%},[6,0,10]%%%}+%%%{%%{[-96,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,10]%%%}+%%%{%%{[%%%{56,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,10]%%%}+%%%{96,[4,2,10]%%%}+%%%{%%%{-240,[1]%%%},[4,1,10]%%%}+%%%{%%%{70,[2]%%%},[4,0,10]%%%}+%%%{%%{[384,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,10]%%%}+%%%{%%{[%%%{-320,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,10]%%%}+%%%{%%{[%%%{56,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,10]%%%}+%%%{-256,[2,3,10]%%%}+%%%{%%%{576,[1]%%%},[2,2,10]%%%}+%%%{%%%{-240,[2]%%%},[2,1,10]%%%}+%%%{%%%{28,[3]%%%},[2,0,10]%%%}+%%%{%%{[-512,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3,10]%%%}+%%%{%%{[%%%{384,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,10]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,10]%%%}+%%%{%%{[%%%{8,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,10]%%%}+%%%{256,[0,4,10]%%%}+%%%{%%%{-256,[1]%%%},[0,3,10]%%%}+%%%{%%%{96,[2]%%%},[0,2,10]%%%}+%%%{%%%{-16,[3]%%%},[0,1,10]%%%}+%%%{%%%{1,[4]%%%},[0,0,10]%%%} / %%%{%%%{1,[2]%%%},[8,0,0]%%%}+%%%{%%{poly1[%%%{8,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,0]%%%}+%%%{%%%{-16,[2]%%%},[6,1,0]%%%}+%%%{%%%{28,[3]%%%},[6,0,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,0]%%%}+%%%{%%{poly1[%%%{56,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,0]%%%}+%%%{%%%{96,[2]%%%},[4,2,0]%%%}+%%%{%%%{-240,[3]%%%},[4,1,0]%%%}+%%%{%%%{70,[4]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,0]%%%}+%%%{%%{[%%%{-320,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,0]%%%}+%%%{%%{poly1[%%%{56,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{-256,[2]%%%},[2,3,0]%%%}+%%%{%%%{576,[3]%%%},[2,2,0]%%%}+%%%{%%%{-240,[4]%%%},[2,1,0]%%%}+%%%{%%%{28,[5]%%%},[2,0,0]%%%}+%%%{%%{[%%%{-512,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3,0]%%%}+%%%{%%{poly1[%%%{384,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,0]%%%}+%%%{%%{[%%%{-96,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,0]%%%}+%%%{%%{poly1[%%%{8,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{256,[2]%%%},[0,4,0]%%%}+%%%{%%%{-256,[3]%%%},[0,3,0]%%%}+%%%{%%%{96,[4]%%%},[0,2,0]%%%}+%%%{%%%{-16,[5]%%%},[0,1,0]%%%}+%%%{%%%{1,[6]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
479,-2,0,0,0.000000," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage3:=type(sage2):;OUTPUT:Evaluation time: 0.9Error: Bad Argument Type","F(-2)",0
480,1,754,0,5.147133," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\frac{2 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right) e^{e}}{\sqrt{-b}} - \frac{{\left(3 \, a e^{e} - 2 \, b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right)}{{\left(a - b\right)}^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a e^{e} + 7 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a \sqrt{b} e^{e} - 4 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{3}{2}} e^{e} + 12 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} e^{e} - 17 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b e^{e} + 8 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{2} e^{e} - 4 \, a^{2} \sqrt{b} e^{e} + 9 \, a b^{\frac{3}{2}} e^{e} - 4 \, b^{\frac{5}{2}} e^{e}\right)}}{{\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{2} {\left(a - b\right)}}}{f^{2}}"," ",0,"-(2*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))*e^e/sqrt(-b) - (3*a*e^e - 2*b*e^e)*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))/(a - b)^(3/2) + 2*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*e^e + 7*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*sqrt(b)*e^e - 4*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(3/2)*e^e + 12*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*e^e - 17*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b*e^e + 8*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^2*e^e - 4*a^2*sqrt(b)*e^e + 9*a*b^(3/2)*e^e - 4*b^(5/2)*e^e)/(((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^2*(a - b)))/f^2","B",0
481,-2,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Error: Bad Argument Type","F(-2)",0
482,-2,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Error: Bad Argument Type","F(-2)",0
483,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.82Error: Bad Argument Type","F(-2)",0
484,-2,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 3.83Unable to divide, perhaps due to rounding error%%%{4096,[10,12,10]%%%}+%%%{%%%{-20480,[1]%%%},[10,12,9]%%%}+%%%{%%%{40960,[2]%%%},[10,12,8]%%%}+%%%{%%%{-40960,[3]%%%},[10,12,7]%%%}+%%%{%%%{20480,[4]%%%},[10,12,6]%%%}+%%%{%%%{-4096,[5]%%%},[10,12,5]%%%}+%%%{%%{[40960,0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,10]%%%}+%%%{%%{[%%%{-204800,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,9]%%%}+%%%{%%{[%%%{409600,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,8]%%%}+%%%{%%{[%%%{-409600,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,7]%%%}+%%%{%%{[%%%{204800,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,6]%%%}+%%%{%%{[%%%{-40960,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12,5]%%%}+%%%{-81920,[8,12,11]%%%}+%%%{%%%{593920,[1]%%%},[8,12,10]%%%}+%%%{%%%{-1740800,[2]%%%},[8,12,9]%%%}+%%%{%%%{2662400,[3]%%%},[8,12,8]%%%}+%%%{%%%{-2252800,[4]%%%},[8,12,7]%%%}+%%%{%%%{1003520,[5]%%%},[8,12,6]%%%}+%%%{%%%{-184320,[6]%%%},[8,12,5]%%%}+%%%{%%{[-655360,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,11]%%%}+%%%{%%{[%%%{3768320,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,10]%%%}+%%%{%%{[%%%{-9011200,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,9]%%%}+%%%{%%{[%%%{11468800,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,8]%%%}+%%%{%%{[%%%{-8192000,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,7]%%%}+%%%{%%{[%%%{3112960,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,6]%%%}+%%%{%%{[%%%{-491520,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12,5]%%%}+%%%{655360,[6,12,12]%%%}+%%%{%%%{-5570560,[1]%%%},[6,12,11]%%%}+%%%{%%%{18882560,[2]%%%},[6,12,10]%%%}+%%%{%%%{-33792000,[3]%%%},[6,12,9]%%%}+%%%{%%%{34816000,[4]%%%},[6,12,8]%%%}+%%%{%%%{-20725760,[5]%%%},[6,12,7]%%%}+%%%{%%%{6594560,[6]%%%},[6,12,6]%%%}+%%%{%%%{-860160,[7]%%%},[6,12,5]%%%}+%%%{%%{[3932160,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,12]%%%}+%%%{%%{[%%%{-24248320,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,11]%%%}+%%%{%%{[%%%{63291392,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,10]%%%}+%%%{%%{[%%%{-90357760,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,9]%%%}+%%%{%%{[%%%{75857920,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,8]%%%}+%%%{%%{[%%%{-37191680,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,7]%%%}+%%%{%%{[%%%{9748480,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,6]%%%}+%%%{%%{[%%%{-1032192,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12,5]%%%}+%%%{-2621440,[4,12,13]%%%}+%%%{%%%{22937600,[1]%%%},[4,12,12]%%%}+%%%{%%%{-81100800,[2]%%%},[4,12,11]%%%}+%%%{%%%{154050560,[3]%%%},[4,12,10]%%%}+%%%{%%%{-173056000,[4]%%%},[4,12,9]%%%}+%%%{%%%{117719040,[5]%%%},[4,12,8]%%%}+%%%{%%%{-47104000,[6]%%%},[4,12,7]%%%}+%%%{%%%{10035200,[7]%%%},[4,12,6]%%%}+%%%{%%%{-860160,[8]%%%},[4,12,5]%%%}+%%%{%%{[-10485760,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,13]%%%}+%%%{%%{[%%%{65536000,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,12]%%%}+%%%{%%{[%%%{-174981120,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,11]%%%}+%%%{%%{[%%%{259358720,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,10]%%%}+%%%{%%{[%%%{-231833600,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,9]%%%}+%%%{%%{[%%%{126812160,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,8]%%%}+%%%{%%{[%%%{-40960000,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,7]%%%}+%%%{%%{[%%%{7045120,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,6]%%%}+%%%{%%{[%%%{-491520,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12,5]%%%}+%%%{5242880,[2,12,14]%%%}+%%%{%%%{-41943040,[1]%%%},[2,12,13]%%%}+%%%{%%%{140902400,[2]%%%},[2,12,12]%%%}+%%%{%%%{-261160960,[3]%%%},[2,12,11]%%%}+%%%{%%%{293457920,[4]%%%},[2,12,10]%%%}+%%%{%%%{-206049280,[5]%%%},[2,12,9]%%%}+%%%{%%%{89661440,[6]%%%},[2,12,8]%%%}+%%%{%%%{-23142400,[7]%%%},[2,12,7]%%%}+%%%{%%%{3215360,[8]%%%},[2,12,6]%%%}+%%%{%%%{-184320,[9]%%%},[2,12,5]%%%}+%%%{%%{[10485760,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,14]%%%}+%%%{%%{[%%%{-62914560,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,13]%%%}+%%%{%%{[%%%{161218560,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,12]%%%}+%%%{%%{[%%%{-230031360,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,11]%%%}+%%%{%%{[%%%{199925760,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,10]%%%}+%%%{%%{[%%%{-108994560,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,9]%%%}+%%%{%%{[%%%{37109760,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,8]%%%}+%%%{%%{[%%%{-7618560,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,7]%%%}+%%%{%%{[%%%{860160,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,6]%%%}+%%%{%%{[%%%{-40960,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12,5]%%%}+%%%{-4194304,[0,12,15]%%%}+%%%{%%%{26214400,[1]%%%},[0,12,14]%%%}+%%%{%%%{-70778880,[2]%%%},[0,12,13]%%%}+%%%{%%%{108134400,[3]%%%},[0,12,12]%%%}+%%%{%%%{-102973440,[4]%%%},[0,12,11]%%%}+%%%{%%%{63590400,[5]%%%},[0,12,10]%%%}+%%%{%%%{-25743360,[6]%%%},[0,12,9]%%%}+%%%{%%%{6758400,[7]%%%},[0,12,8]%%%}+%%%{%%%{-1105920,[8]%%%},[0,12,7]%%%}+%%%{%%%{102400,[9]%%%},[0,12,6]%%%}+%%%{%%%{-4096,[10]%%%},[0,12,5]%%%} / %%%{%%{poly1[%%%{1,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,0,0]%%%}+%%%{%%%{10,[3]%%%},[9,0,0]%%%}+%%%{%%{[%%%{-20,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,1]%%%}+%%%{%%{poly1[%%%{45,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0,0]%%%}+%%%{%%%{-160,[3]%%%},[7,0,1]%%%}+%%%{%%%{120,[4]%%%},[7,0,0]%%%}+%%%{%%{poly1[%%%{160,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,2]%%%}+%%%{%%{[%%%{-560,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,1]%%%}+%%%{%%{poly1[%%%{210,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0,0]%%%}+%%%{%%%{960,[3]%%%},[5,0,2]%%%}+%%%{%%%{-1120,[4]%%%},[5,0,1]%%%}+%%%{%%%{252,[5]%%%},[5,0,0]%%%}+%%%{%%{[%%%{-640,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,3]%%%}+%%%{%%{poly1[%%%{2400,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,2]%%%}+%%%{%%{[%%%{-1400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,1]%%%}+%%%{%%{poly1[%%%{210,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0]%%%}+%%%{%%%{-2560,[3]%%%},[3,0,3]%%%}+%%%{%%%{3200,[4]%%%},[3,0,2]%%%}+%%%{%%%{-1120,[5]%%%},[3,0,1]%%%}+%%%{%%%{120,[6]%%%},[3,0,0]%%%}+%%%{%%{[%%%{1280,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,4]%%%}+%%%{%%{[%%%{-3840,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,3]%%%}+%%%{%%{poly1[%%%{2400,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,2]%%%}+%%%{%%{[%%%{-560,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,1]%%%}+%%%{%%{poly1[%%%{45,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0]%%%}+%%%{%%%{2560,[3]%%%},[1,0,4]%%%}+%%%{%%%{-2560,[4]%%%},[1,0,3]%%%}+%%%{%%%{960,[5]%%%},[1,0,2]%%%}+%%%{%%%{-160,[6]%%%},[1,0,1]%%%}+%%%{%%%{10,[7]%%%},[1,0,0]%%%}+%%%{%%{[%%%{-1024,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,5]%%%}+%%%{%%{[%%%{1280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,4]%%%}+%%%{%%{[%%%{-640,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,3]%%%}+%%%{%%{poly1[%%%{160,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,2]%%%}+%%%{%%{[%%%{-20,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,1]%%%}+%%%{%%{poly1[%%%{1,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
485,1,1320,0,9.516372," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{6 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right) e^{e}}{\sqrt{-b}} - \frac{3 \, {\left(3 \, a e^{e} - 2 \, b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right)}{{\left(a - b\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(9 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a e^{e} - 6 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} b e^{e} + 21 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a \sqrt{b} e^{e} - 6 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} b^{\frac{3}{2}} e^{e} + 64 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{2} e^{e} - 38 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a b e^{e} + 4 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} b^{2} e^{e} + 192 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{2} \sqrt{b} e^{e} - 246 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a b^{\frac{3}{2}} e^{e} + 84 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{5}{2}} e^{e} + 240 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{3} e^{e} - 576 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} b e^{e} + 477 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b^{2} e^{e} - 126 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{3} e^{e} - 144 \, a^{3} \sqrt{b} e^{e} + 320 \, a^{2} b^{\frac{3}{2}} e^{e} - 223 \, a b^{\frac{5}{2}} e^{e} + 50 \, b^{\frac{7}{2}} e^{e}\right)}}{{\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{3} {\left(a - b\right)}}}{3 \, f^{2}}"," ",0,"1/3*(6*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))*e^e/sqrt(-b) - 3*(3*a*e^e - 2*b*e^e)*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))/(a - b)^(3/2) + 2*(9*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a*e^e - 6*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*b*e^e + 21*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a*sqrt(b)*e^e - 6*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*b^(3/2)*e^e + 64*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^2*e^e - 38*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*b*e^e + 4*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*b^2*e^e + 192*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^2*sqrt(b)*e^e - 246*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*b^(3/2)*e^e + 84*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(5/2)*e^e + 240*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^3*e^e - 576*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*b*e^e + 477*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b^2*e^e - 126*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^3*e^e - 144*a^3*sqrt(b)*e^e + 320*a^2*b^(3/2)*e^e - 223*a*b^(5/2)*e^e + 50*b^(7/2)*e^e)/(((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^3*(a - b)))/f^2","B",0
486,1,374,0,2.664164," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{\arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right) e^{e}}{\sqrt{a - b}} - \frac{\arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right) e^{e}}{\sqrt{-b}} - \frac{2 \, {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} e^{e} - \sqrt{b} e^{e}\right)}}{{\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b}\right)}}{f^{2}}"," ",0,"-2*(arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))*e^e/sqrt(a - b) - arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))*e^e/sqrt(-b) - 2*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*e^e - sqrt(b)*e^e)/((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b))/f^2","B",0
487,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
488,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.59Unable to divide, perhaps due to rounding error%%%{64,[4,6,4]%%%}+%%%{%%%{-128,[1]%%%},[4,6,3]%%%}+%%%{%%%{64,[2]%%%},[4,6,2]%%%}+%%%{%%{[256,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,6,4]%%%}+%%%{%%{[%%%{-512,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,6,3]%%%}+%%%{%%{[%%%{256,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,6,2]%%%}+%%%{-512,[2,6,5]%%%}+%%%{%%%{1408,[1]%%%},[2,6,4]%%%}+%%%{%%%{-1280,[2]%%%},[2,6,3]%%%}+%%%{%%%{384,[3]%%%},[2,6,2]%%%}+%%%{%%{[-1024,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6,5]%%%}+%%%{%%{[%%%{2304,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6,4]%%%}+%%%{%%{[%%%{-1536,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6,3]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6,2]%%%}+%%%{1024,[0,6,6]%%%}+%%%{%%%{-2560,[1]%%%},[0,6,5]%%%}+%%%{%%%{2112,[2]%%%},[0,6,4]%%%}+%%%{%%%{-640,[3]%%%},[0,6,3]%%%}+%%%{%%%{64,[4]%%%},[0,6,2]%%%} / %%%{%%%{1,[1]%%%},[4,0,0]%%%}+%%%{%%{poly1[%%%{4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0]%%%}+%%%{%%%{-8,[1]%%%},[2,0,1]%%%}+%%%{%%%{6,[2]%%%},[2,0,0]%%%}+%%%{%%{poly1[%%%{-16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1]%%%}+%%%{%%{poly1[%%%{4,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,0]%%%}+%%%{%%%{16,[1]%%%},[0,0,2]%%%}+%%%{%%%{-8,[2]%%%},[0,0,1]%%%}+%%%{%%%{1,[3]%%%},[0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
489,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 1.66Error: Bad Argument Type","F(-2)",0
490,1,2634,0,51.394513," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(a^{9} e^{\left(5 \, e\right)} - 5 \, a^{8} b e^{\left(5 \, e\right)} + 10 \, a^{7} b^{2} e^{\left(5 \, e\right)} - 10 \, a^{6} b^{3} e^{\left(5 \, e\right)} + 5 \, a^{5} b^{4} e^{\left(5 \, e\right)} - a^{4} b^{5} e^{\left(5 \, e\right)}\right)} e^{\left(f x\right)}}{{\left(a^{10} e^{\left(4 \, e\right)} - 8 \, a^{9} b e^{\left(4 \, e\right)} + 28 \, a^{8} b^{2} e^{\left(4 \, e\right)} - 56 \, a^{7} b^{3} e^{\left(4 \, e\right)} + 70 \, a^{6} b^{4} e^{\left(4 \, e\right)} - 56 \, a^{5} b^{5} e^{\left(4 \, e\right)} + 28 \, a^{4} b^{6} e^{\left(4 \, e\right)} - 8 \, a^{3} b^{7} e^{\left(4 \, e\right)} + a^{2} b^{8} e^{\left(4 \, e\right)}\right)} \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} f} + \frac{\frac{45 \, a^{2} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right) e^{e}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a - b}} - \frac{24 \, a^{2} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right) e^{e}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{-b}} - \frac{2 \, {\left(21 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{7} a^{2} e^{e} + 243 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{6} a^{2} \sqrt{b} e^{e} - 144 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{6} a b^{\frac{3}{2}} e^{e} + 48 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{6} b^{\frac{5}{2}} e^{e} + 436 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a^{3} e^{e} - 123 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a^{2} b e^{e} + 288 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a b^{2} e^{e} - 160 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} b^{3} e^{e} + 1796 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a^{3} \sqrt{b} e^{e} - 1029 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a^{2} b^{\frac{3}{2}} e^{e} - 240 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a b^{\frac{5}{2}} e^{e} + 208 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} b^{\frac{7}{2}} e^{e} + 1840 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{4} e^{e} + 168 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{3} b e^{e} - 2553 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{2} b^{2} e^{e} + 1472 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a b^{3} e^{e} - 192 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} b^{4} e^{e} + 7056 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{4} \sqrt{b} e^{e} - 14872 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{3} b^{\frac{3}{2}} e^{e} + 11745 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{2} b^{\frac{5}{2}} e^{e} - 3696 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a b^{\frac{7}{2}} e^{e} + 208 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{9}{2}} e^{e} + 4800 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{5} e^{e} - 15024 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{4} b e^{e} + 19876 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{3} b^{2} e^{e} - 12705 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} b^{3} e^{e} + 3360 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b^{4} e^{e} - 160 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{5} e^{e} - 1344 \, a^{5} \sqrt{b} e^{e} + 5360 \, a^{4} b^{\frac{3}{2}} e^{e} - 7404 \, a^{3} b^{\frac{5}{2}} e^{e} + 4401 \, a^{2} b^{\frac{7}{2}} e^{e} - 1040 \, a b^{\frac{9}{2}} e^{e} + 48 \, b^{\frac{11}{2}} e^{e}\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{4}}}{12 \, f^{2}}"," ",0,"2*(a^9*e^(5*e) - 5*a^8*b*e^(5*e) + 10*a^7*b^2*e^(5*e) - 10*a^6*b^3*e^(5*e) + 5*a^5*b^4*e^(5*e) - a^4*b^5*e^(5*e))*e^(f*x)/((a^10*e^(4*e) - 8*a^9*b*e^(4*e) + 28*a^8*b^2*e^(4*e) - 56*a^7*b^3*e^(4*e) + 70*a^6*b^4*e^(4*e) - 56*a^5*b^5*e^(4*e) + 28*a^4*b^6*e^(4*e) - 8*a^3*b^7*e^(4*e) + a^2*b^8*e^(4*e))*sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b)*f) + 1/12*(45*a^2*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))*e^e/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a - b)) - 24*a^2*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))*e^e/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(-b)) - 2*(21*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^7*a^2*e^e + 243*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^6*a^2*sqrt(b)*e^e - 144*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^6*a*b^(3/2)*e^e + 48*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^6*b^(5/2)*e^e + 436*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a^3*e^e - 123*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a^2*b*e^e + 288*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a*b^2*e^e - 160*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*b^3*e^e + 1796*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a^3*sqrt(b)*e^e - 1029*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a^2*b^(3/2)*e^e - 240*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a*b^(5/2)*e^e + 208*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*b^(7/2)*e^e + 1840*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^4*e^e + 168*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^3*b*e^e - 2553*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^2*b^2*e^e + 1472*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*b^3*e^e - 192*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*b^4*e^e + 7056*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^4*sqrt(b)*e^e - 14872*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^3*b^(3/2)*e^e + 11745*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^2*b^(5/2)*e^e - 3696*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*b^(7/2)*e^e + 208*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(9/2)*e^e + 4800*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^5*e^e - 15024*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^4*b*e^e + 19876*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^3*b^2*e^e - 12705*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*b^3*e^e + 3360*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b^4*e^e - 160*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^5*e^e - 1344*a^5*sqrt(b)*e^e + 5360*a^4*b^(3/2)*e^e - 7404*a^3*b^(5/2)*e^e + 4401*a^2*b^(7/2)*e^e - 1040*a*b^(9/2)*e^e + 48*b^(11/2)*e^e)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^4))/f^2","B",0
491,1,975,0,15.036538," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(a^{7} e^{\left(5 \, e\right)} - 4 \, a^{6} b e^{\left(5 \, e\right)} + 6 \, a^{5} b^{2} e^{\left(5 \, e\right)} - 4 \, a^{4} b^{3} e^{\left(5 \, e\right)} + a^{3} b^{4} e^{\left(5 \, e\right)}\right)} e^{\left(f x\right)}}{{\left(a^{8} e^{\left(4 \, e\right)} - 6 \, a^{7} b e^{\left(4 \, e\right)} + 15 \, a^{6} b^{2} e^{\left(4 \, e\right)} - 20 \, a^{5} b^{3} e^{\left(4 \, e\right)} + 15 \, a^{4} b^{4} e^{\left(4 \, e\right)} - 6 \, a^{3} b^{5} e^{\left(4 \, e\right)} + a^{2} b^{6} e^{\left(4 \, e\right)}\right)} \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} f} + \frac{\frac{3 \, a \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right) e^{e}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a - b}} - \frac{2 \, a \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right) e^{e}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{-b}} - \frac{2 \, {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a e^{e} + 7 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a \sqrt{b} e^{e} - 4 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{3}{2}} e^{e} + 12 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} e^{e} - 17 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b e^{e} + 8 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{2} e^{e} - 4 \, a^{2} \sqrt{b} e^{e} + 9 \, a b^{\frac{3}{2}} e^{e} - 4 \, b^{\frac{5}{2}} e^{e}\right)}}{{\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{2} {\left(a^{2} - 2 \, a b + b^{2}\right)}}}{f^{2}}"," ",0,"2*(a^7*e^(5*e) - 4*a^6*b*e^(5*e) + 6*a^5*b^2*e^(5*e) - 4*a^4*b^3*e^(5*e) + a^3*b^4*e^(5*e))*e^(f*x)/((a^8*e^(4*e) - 6*a^7*b*e^(4*e) + 15*a^6*b^2*e^(4*e) - 20*a^5*b^3*e^(4*e) + 15*a^4*b^4*e^(4*e) - 6*a^3*b^5*e^(4*e) + a^2*b^6*e^(4*e))*sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b)*f) + (3*a*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))*e^e/((a^2 - 2*a*b + b^2)*sqrt(a - b)) - 2*a*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))*e^e/((a^2 - 2*a*b + b^2)*sqrt(-b)) - 2*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*e^e + 7*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*sqrt(b)*e^e - 4*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(3/2)*e^e + 12*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*e^e - 17*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b*e^e + 8*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^2*e^e - 4*a^2*sqrt(b)*e^e + 9*a*b^(3/2)*e^e - 4*b^(5/2)*e^e)/(((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^2*(a^2 - 2*a*b + b^2)))/f^2","B",0
492,-2,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.78Error: Bad Argument Type","F(-2)",0
493,-2,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.49Error: Bad Argument Type","F(-2)",0
494,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 1.35sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
495,-2,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 2.08sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
496,-2,0,0,0.000000," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 3.29Error: Bad Argument Type","F(-2)",0
497,-2,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.04Error: Bad Argument Type","F(-2)",0
498,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
499,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.96Error: Bad Argument Type","F(-2)",0
500,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 1.64Error: Bad Argument Type","F(-2)",0
501,1,3972,0,104.389823," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(\frac{3 \, {\left(a^{22} b^{3} e^{\left(21 \, e\right)} - 14 \, a^{21} b^{4} e^{\left(21 \, e\right)} + 88 \, a^{20} b^{5} e^{\left(21 \, e\right)} - 320 \, a^{19} b^{6} e^{\left(21 \, e\right)} + 700 \, a^{18} b^{7} e^{\left(21 \, e\right)} - 728 \, a^{17} b^{8} e^{\left(21 \, e\right)} - 728 \, a^{16} b^{9} e^{\left(21 \, e\right)} + 4576 \, a^{15} b^{10} e^{\left(21 \, e\right)} - 10010 \, a^{14} b^{11} e^{\left(21 \, e\right)} + 14300 \, a^{13} b^{12} e^{\left(21 \, e\right)} - 14872 \, a^{12} b^{13} e^{\left(21 \, e\right)} + 11648 \, a^{11} b^{14} e^{\left(21 \, e\right)} - 6916 \, a^{10} b^{15} e^{\left(21 \, e\right)} + 3080 \, a^{9} b^{16} e^{\left(21 \, e\right)} - 1000 \, a^{8} b^{17} e^{\left(21 \, e\right)} + 224 \, a^{7} b^{18} e^{\left(21 \, e\right)} - 31 \, a^{6} b^{19} e^{\left(21 \, e\right)} + 2 \, a^{5} b^{20} e^{\left(21 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a^{24} b^{2} e^{\left(16 \, e\right)} - 20 \, a^{23} b^{3} e^{\left(16 \, e\right)} + 190 \, a^{22} b^{4} e^{\left(16 \, e\right)} - 1140 \, a^{21} b^{5} e^{\left(16 \, e\right)} + 4845 \, a^{20} b^{6} e^{\left(16 \, e\right)} - 15504 \, a^{19} b^{7} e^{\left(16 \, e\right)} + 38760 \, a^{18} b^{8} e^{\left(16 \, e\right)} - 77520 \, a^{17} b^{9} e^{\left(16 \, e\right)} + 125970 \, a^{16} b^{10} e^{\left(16 \, e\right)} - 167960 \, a^{15} b^{11} e^{\left(16 \, e\right)} + 184756 \, a^{14} b^{12} e^{\left(16 \, e\right)} - 167960 \, a^{13} b^{13} e^{\left(16 \, e\right)} + 125970 \, a^{12} b^{14} e^{\left(16 \, e\right)} - 77520 \, a^{11} b^{15} e^{\left(16 \, e\right)} + 38760 \, a^{10} b^{16} e^{\left(16 \, e\right)} - 15504 \, a^{9} b^{17} e^{\left(16 \, e\right)} + 4845 \, a^{8} b^{18} e^{\left(16 \, e\right)} - 1140 \, a^{7} b^{19} e^{\left(16 \, e\right)} + 190 \, a^{6} b^{20} e^{\left(16 \, e\right)} - 20 \, a^{5} b^{21} e^{\left(16 \, e\right)} + a^{4} b^{22} e^{\left(16 \, e\right)}} + \frac{2 \, {\left(8 \, a^{23} b^{2} e^{\left(19 \, e\right)} - 121 \, a^{22} b^{3} e^{\left(19 \, e\right)} + 842 \, a^{21} b^{4} e^{\left(19 \, e\right)} - 3544 \, a^{20} b^{5} e^{\left(19 \, e\right)} + 9920 \, a^{19} b^{6} e^{\left(19 \, e\right)} - 18844 \, a^{18} b^{7} e^{\left(19 \, e\right)} + 22568 \, a^{17} b^{8} e^{\left(19 \, e\right)} - 9256 \, a^{16} b^{9} e^{\left(19 \, e\right)} - 25168 \, a^{15} b^{10} e^{\left(19 \, e\right)} + 67210 \, a^{14} b^{11} e^{\left(19 \, e\right)} - 93236 \, a^{13} b^{12} e^{\left(19 \, e\right)} + 89752 \, a^{12} b^{13} e^{\left(19 \, e\right)} - 64064 \, a^{11} b^{14} e^{\left(19 \, e\right)} + 34468 \, a^{10} b^{15} e^{\left(19 \, e\right)} - 13880 \, a^{9} b^{16} e^{\left(19 \, e\right)} + 4072 \, a^{8} b^{17} e^{\left(19 \, e\right)} - 824 \, a^{7} b^{18} e^{\left(19 \, e\right)} + 103 \, a^{6} b^{19} e^{\left(19 \, e\right)} - 6 \, a^{5} b^{20} e^{\left(19 \, e\right)}\right)}}{a^{24} b^{2} e^{\left(16 \, e\right)} - 20 \, a^{23} b^{3} e^{\left(16 \, e\right)} + 190 \, a^{22} b^{4} e^{\left(16 \, e\right)} - 1140 \, a^{21} b^{5} e^{\left(16 \, e\right)} + 4845 \, a^{20} b^{6} e^{\left(16 \, e\right)} - 15504 \, a^{19} b^{7} e^{\left(16 \, e\right)} + 38760 \, a^{18} b^{8} e^{\left(16 \, e\right)} - 77520 \, a^{17} b^{9} e^{\left(16 \, e\right)} + 125970 \, a^{16} b^{10} e^{\left(16 \, e\right)} - 167960 \, a^{15} b^{11} e^{\left(16 \, e\right)} + 184756 \, a^{14} b^{12} e^{\left(16 \, e\right)} - 167960 \, a^{13} b^{13} e^{\left(16 \, e\right)} + 125970 \, a^{12} b^{14} e^{\left(16 \, e\right)} - 77520 \, a^{11} b^{15} e^{\left(16 \, e\right)} + 38760 \, a^{10} b^{16} e^{\left(16 \, e\right)} - 15504 \, a^{9} b^{17} e^{\left(16 \, e\right)} + 4845 \, a^{8} b^{18} e^{\left(16 \, e\right)} - 1140 \, a^{7} b^{19} e^{\left(16 \, e\right)} + 190 \, a^{6} b^{20} e^{\left(16 \, e\right)} - 20 \, a^{5} b^{21} e^{\left(16 \, e\right)} + a^{4} b^{22} e^{\left(16 \, e\right)}}\right)} e^{\left(2 \, f x\right)} + \frac{3 \, {\left(a^{22} b^{3} e^{\left(17 \, e\right)} - 14 \, a^{21} b^{4} e^{\left(17 \, e\right)} + 88 \, a^{20} b^{5} e^{\left(17 \, e\right)} - 320 \, a^{19} b^{6} e^{\left(17 \, e\right)} + 700 \, a^{18} b^{7} e^{\left(17 \, e\right)} - 728 \, a^{17} b^{8} e^{\left(17 \, e\right)} - 728 \, a^{16} b^{9} e^{\left(17 \, e\right)} + 4576 \, a^{15} b^{10} e^{\left(17 \, e\right)} - 10010 \, a^{14} b^{11} e^{\left(17 \, e\right)} + 14300 \, a^{13} b^{12} e^{\left(17 \, e\right)} - 14872 \, a^{12} b^{13} e^{\left(17 \, e\right)} + 11648 \, a^{11} b^{14} e^{\left(17 \, e\right)} - 6916 \, a^{10} b^{15} e^{\left(17 \, e\right)} + 3080 \, a^{9} b^{16} e^{\left(17 \, e\right)} - 1000 \, a^{8} b^{17} e^{\left(17 \, e\right)} + 224 \, a^{7} b^{18} e^{\left(17 \, e\right)} - 31 \, a^{6} b^{19} e^{\left(17 \, e\right)} + 2 \, a^{5} b^{20} e^{\left(17 \, e\right)}\right)}}{a^{24} b^{2} e^{\left(16 \, e\right)} - 20 \, a^{23} b^{3} e^{\left(16 \, e\right)} + 190 \, a^{22} b^{4} e^{\left(16 \, e\right)} - 1140 \, a^{21} b^{5} e^{\left(16 \, e\right)} + 4845 \, a^{20} b^{6} e^{\left(16 \, e\right)} - 15504 \, a^{19} b^{7} e^{\left(16 \, e\right)} + 38760 \, a^{18} b^{8} e^{\left(16 \, e\right)} - 77520 \, a^{17} b^{9} e^{\left(16 \, e\right)} + 125970 \, a^{16} b^{10} e^{\left(16 \, e\right)} - 167960 \, a^{15} b^{11} e^{\left(16 \, e\right)} + 184756 \, a^{14} b^{12} e^{\left(16 \, e\right)} - 167960 \, a^{13} b^{13} e^{\left(16 \, e\right)} + 125970 \, a^{12} b^{14} e^{\left(16 \, e\right)} - 77520 \, a^{11} b^{15} e^{\left(16 \, e\right)} + 38760 \, a^{10} b^{16} e^{\left(16 \, e\right)} - 15504 \, a^{9} b^{17} e^{\left(16 \, e\right)} + 4845 \, a^{8} b^{18} e^{\left(16 \, e\right)} - 1140 \, a^{7} b^{19} e^{\left(16 \, e\right)} + 190 \, a^{6} b^{20} e^{\left(16 \, e\right)} - 20 \, a^{5} b^{21} e^{\left(16 \, e\right)} + a^{4} b^{22} e^{\left(16 \, e\right)}}\right)} e^{\left(f x\right)}}{3 \, {\left(b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b\right)}^{\frac{3}{2}} f} + \frac{\frac{15 \, {\left(3 \, a^{2} e^{e} + 4 \, a b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right)}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} \sqrt{a - b}} - \frac{24 \, {\left(a^{2} e^{e} + 2 \, a b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right)}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} \sqrt{-b}} - \frac{2 \, {\left(21 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{7} a^{2} e^{e} + 12 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{7} a b e^{e} + 243 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{6} a^{2} \sqrt{b} e^{e} - 12 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{6} a b^{\frac{3}{2}} e^{e} + 436 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a^{3} e^{e} + 117 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a^{2} b e^{e} + 396 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} a b^{2} e^{e} - 256 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{5} b^{3} e^{e} + 1796 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a^{3} \sqrt{b} e^{e} + 363 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a^{2} b^{\frac{3}{2}} e^{e} - 1644 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} a b^{\frac{5}{2}} e^{e} + 640 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{4} b^{\frac{7}{2}} e^{e} + 1840 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{4} e^{e} + 1512 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{3} b e^{e} - 3609 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a^{2} b^{2} e^{e} + 1412 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a b^{3} e^{e} + 7056 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{4} \sqrt{b} e^{e} - 11608 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{3} b^{\frac{3}{2}} e^{e} + 4929 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a^{2} b^{\frac{5}{2}} e^{e} + 1596 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a b^{\frac{7}{2}} e^{e} - 1280 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{9}{2}} e^{e} + 4800 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{5} e^{e} - 12720 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{4} b e^{e} + 12388 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{3} b^{2} e^{e} - 2673 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} b^{3} e^{e} - 2844 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b^{4} e^{e} + 1280 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{5} e^{e} - 1344 \, a^{5} \sqrt{b} e^{e} + 4592 \, a^{4} b^{\frac{3}{2}} e^{e} - 4524 \, a^{3} b^{\frac{5}{2}} e^{e} + 609 \, a^{2} b^{\frac{7}{2}} e^{e} + 1084 \, a b^{\frac{9}{2}} e^{e} - 384 \, b^{\frac{11}{2}} e^{e}\right)}}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{4}}}{12 \, f^{2}}"," ",0,"2/3*((3*(a^22*b^3*e^(21*e) - 14*a^21*b^4*e^(21*e) + 88*a^20*b^5*e^(21*e) - 320*a^19*b^6*e^(21*e) + 700*a^18*b^7*e^(21*e) - 728*a^17*b^8*e^(21*e) - 728*a^16*b^9*e^(21*e) + 4576*a^15*b^10*e^(21*e) - 10010*a^14*b^11*e^(21*e) + 14300*a^13*b^12*e^(21*e) - 14872*a^12*b^13*e^(21*e) + 11648*a^11*b^14*e^(21*e) - 6916*a^10*b^15*e^(21*e) + 3080*a^9*b^16*e^(21*e) - 1000*a^8*b^17*e^(21*e) + 224*a^7*b^18*e^(21*e) - 31*a^6*b^19*e^(21*e) + 2*a^5*b^20*e^(21*e))*e^(2*f*x)/(a^24*b^2*e^(16*e) - 20*a^23*b^3*e^(16*e) + 190*a^22*b^4*e^(16*e) - 1140*a^21*b^5*e^(16*e) + 4845*a^20*b^6*e^(16*e) - 15504*a^19*b^7*e^(16*e) + 38760*a^18*b^8*e^(16*e) - 77520*a^17*b^9*e^(16*e) + 125970*a^16*b^10*e^(16*e) - 167960*a^15*b^11*e^(16*e) + 184756*a^14*b^12*e^(16*e) - 167960*a^13*b^13*e^(16*e) + 125970*a^12*b^14*e^(16*e) - 77520*a^11*b^15*e^(16*e) + 38760*a^10*b^16*e^(16*e) - 15504*a^9*b^17*e^(16*e) + 4845*a^8*b^18*e^(16*e) - 1140*a^7*b^19*e^(16*e) + 190*a^6*b^20*e^(16*e) - 20*a^5*b^21*e^(16*e) + a^4*b^22*e^(16*e)) + 2*(8*a^23*b^2*e^(19*e) - 121*a^22*b^3*e^(19*e) + 842*a^21*b^4*e^(19*e) - 3544*a^20*b^5*e^(19*e) + 9920*a^19*b^6*e^(19*e) - 18844*a^18*b^7*e^(19*e) + 22568*a^17*b^8*e^(19*e) - 9256*a^16*b^9*e^(19*e) - 25168*a^15*b^10*e^(19*e) + 67210*a^14*b^11*e^(19*e) - 93236*a^13*b^12*e^(19*e) + 89752*a^12*b^13*e^(19*e) - 64064*a^11*b^14*e^(19*e) + 34468*a^10*b^15*e^(19*e) - 13880*a^9*b^16*e^(19*e) + 4072*a^8*b^17*e^(19*e) - 824*a^7*b^18*e^(19*e) + 103*a^6*b^19*e^(19*e) - 6*a^5*b^20*e^(19*e))/(a^24*b^2*e^(16*e) - 20*a^23*b^3*e^(16*e) + 190*a^22*b^4*e^(16*e) - 1140*a^21*b^5*e^(16*e) + 4845*a^20*b^6*e^(16*e) - 15504*a^19*b^7*e^(16*e) + 38760*a^18*b^8*e^(16*e) - 77520*a^17*b^9*e^(16*e) + 125970*a^16*b^10*e^(16*e) - 167960*a^15*b^11*e^(16*e) + 184756*a^14*b^12*e^(16*e) - 167960*a^13*b^13*e^(16*e) + 125970*a^12*b^14*e^(16*e) - 77520*a^11*b^15*e^(16*e) + 38760*a^10*b^16*e^(16*e) - 15504*a^9*b^17*e^(16*e) + 4845*a^8*b^18*e^(16*e) - 1140*a^7*b^19*e^(16*e) + 190*a^6*b^20*e^(16*e) - 20*a^5*b^21*e^(16*e) + a^4*b^22*e^(16*e)))*e^(2*f*x) + 3*(a^22*b^3*e^(17*e) - 14*a^21*b^4*e^(17*e) + 88*a^20*b^5*e^(17*e) - 320*a^19*b^6*e^(17*e) + 700*a^18*b^7*e^(17*e) - 728*a^17*b^8*e^(17*e) - 728*a^16*b^9*e^(17*e) + 4576*a^15*b^10*e^(17*e) - 10010*a^14*b^11*e^(17*e) + 14300*a^13*b^12*e^(17*e) - 14872*a^12*b^13*e^(17*e) + 11648*a^11*b^14*e^(17*e) - 6916*a^10*b^15*e^(17*e) + 3080*a^9*b^16*e^(17*e) - 1000*a^8*b^17*e^(17*e) + 224*a^7*b^18*e^(17*e) - 31*a^6*b^19*e^(17*e) + 2*a^5*b^20*e^(17*e))/(a^24*b^2*e^(16*e) - 20*a^23*b^3*e^(16*e) + 190*a^22*b^4*e^(16*e) - 1140*a^21*b^5*e^(16*e) + 4845*a^20*b^6*e^(16*e) - 15504*a^19*b^7*e^(16*e) + 38760*a^18*b^8*e^(16*e) - 77520*a^17*b^9*e^(16*e) + 125970*a^16*b^10*e^(16*e) - 167960*a^15*b^11*e^(16*e) + 184756*a^14*b^12*e^(16*e) - 167960*a^13*b^13*e^(16*e) + 125970*a^12*b^14*e^(16*e) - 77520*a^11*b^15*e^(16*e) + 38760*a^10*b^16*e^(16*e) - 15504*a^9*b^17*e^(16*e) + 4845*a^8*b^18*e^(16*e) - 1140*a^7*b^19*e^(16*e) + 190*a^6*b^20*e^(16*e) - 20*a^5*b^21*e^(16*e) + a^4*b^22*e^(16*e)))*e^(f*x)/((b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b)^(3/2)*f) + 1/12*(15*(3*a^2*e^e + 4*a*b*e^e)*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*sqrt(a - b)) - 24*(a^2*e^e + 2*a*b*e^e)*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*sqrt(-b)) - 2*(21*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^7*a^2*e^e + 12*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^7*a*b*e^e + 243*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^6*a^2*sqrt(b)*e^e - 12*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^6*a*b^(3/2)*e^e + 436*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a^3*e^e + 117*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a^2*b*e^e + 396*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*a*b^2*e^e - 256*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^5*b^3*e^e + 1796*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a^3*sqrt(b)*e^e + 363*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a^2*b^(3/2)*e^e - 1644*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*a*b^(5/2)*e^e + 640*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^4*b^(7/2)*e^e + 1840*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^4*e^e + 1512*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^3*b*e^e - 3609*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a^2*b^2*e^e + 1412*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*b^3*e^e + 7056*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^4*sqrt(b)*e^e - 11608*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^3*b^(3/2)*e^e + 4929*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a^2*b^(5/2)*e^e + 1596*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*b^(7/2)*e^e - 1280*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(9/2)*e^e + 4800*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^5*e^e - 12720*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^4*b*e^e + 12388*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^3*b^2*e^e - 2673*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*b^3*e^e - 2844*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b^4*e^e + 1280*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^5*e^e - 1344*a^5*sqrt(b)*e^e + 4592*a^4*b^(3/2)*e^e - 4524*a^3*b^(5/2)*e^e + 609*a^2*b^(7/2)*e^e + 1084*a*b^(9/2)*e^e - 384*b^(11/2)*e^e)/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^4))/f^2","B",0
502,1,2132,0,40.897401," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(\frac{3 \, {\left(a^{18} b^{3} e^{\left(21 \, e\right)} - 12 \, a^{17} b^{4} e^{\left(21 \, e\right)} + 65 \, a^{16} b^{5} e^{\left(21 \, e\right)} - 208 \, a^{15} b^{6} e^{\left(21 \, e\right)} + 429 \, a^{14} b^{7} e^{\left(21 \, e\right)} - 572 \, a^{13} b^{8} e^{\left(21 \, e\right)} + 429 \, a^{12} b^{9} e^{\left(21 \, e\right)} - 429 \, a^{10} b^{11} e^{\left(21 \, e\right)} + 572 \, a^{9} b^{12} e^{\left(21 \, e\right)} - 429 \, a^{8} b^{13} e^{\left(21 \, e\right)} + 208 \, a^{7} b^{14} e^{\left(21 \, e\right)} - 65 \, a^{6} b^{15} e^{\left(21 \, e\right)} + 12 \, a^{5} b^{16} e^{\left(21 \, e\right)} - a^{4} b^{17} e^{\left(21 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a^{20} b^{2} e^{\left(16 \, e\right)} - 16 \, a^{19} b^{3} e^{\left(16 \, e\right)} + 120 \, a^{18} b^{4} e^{\left(16 \, e\right)} - 560 \, a^{17} b^{5} e^{\left(16 \, e\right)} + 1820 \, a^{16} b^{6} e^{\left(16 \, e\right)} - 4368 \, a^{15} b^{7} e^{\left(16 \, e\right)} + 8008 \, a^{14} b^{8} e^{\left(16 \, e\right)} - 11440 \, a^{13} b^{9} e^{\left(16 \, e\right)} + 12870 \, a^{12} b^{10} e^{\left(16 \, e\right)} - 11440 \, a^{11} b^{11} e^{\left(16 \, e\right)} + 8008 \, a^{10} b^{12} e^{\left(16 \, e\right)} - 4368 \, a^{9} b^{13} e^{\left(16 \, e\right)} + 1820 \, a^{8} b^{14} e^{\left(16 \, e\right)} - 560 \, a^{7} b^{15} e^{\left(16 \, e\right)} + 120 \, a^{6} b^{16} e^{\left(16 \, e\right)} - 16 \, a^{5} b^{17} e^{\left(16 \, e\right)} + a^{4} b^{18} e^{\left(16 \, e\right)}} + \frac{2 \, {\left(8 \, a^{19} b^{2} e^{\left(19 \, e\right)} - 103 \, a^{18} b^{3} e^{\left(19 \, e\right)} + 608 \, a^{17} b^{4} e^{\left(19 \, e\right)} - 2171 \, a^{16} b^{5} e^{\left(19 \, e\right)} + 5200 \, a^{15} b^{6} e^{\left(19 \, e\right)} - 8723 \, a^{14} b^{7} e^{\left(19 \, e\right)} + 10296 \, a^{13} b^{8} e^{\left(19 \, e\right)} - 8151 \, a^{12} b^{9} e^{\left(19 \, e\right)} + 3432 \, a^{11} b^{10} e^{\left(19 \, e\right)} + 715 \, a^{10} b^{11} e^{\left(19 \, e\right)} - 2288 \, a^{9} b^{12} e^{\left(19 \, e\right)} + 1807 \, a^{8} b^{13} e^{\left(19 \, e\right)} - 832 \, a^{7} b^{14} e^{\left(19 \, e\right)} + 239 \, a^{6} b^{15} e^{\left(19 \, e\right)} - 40 \, a^{5} b^{16} e^{\left(19 \, e\right)} + 3 \, a^{4} b^{17} e^{\left(19 \, e\right)}\right)}}{a^{20} b^{2} e^{\left(16 \, e\right)} - 16 \, a^{19} b^{3} e^{\left(16 \, e\right)} + 120 \, a^{18} b^{4} e^{\left(16 \, e\right)} - 560 \, a^{17} b^{5} e^{\left(16 \, e\right)} + 1820 \, a^{16} b^{6} e^{\left(16 \, e\right)} - 4368 \, a^{15} b^{7} e^{\left(16 \, e\right)} + 8008 \, a^{14} b^{8} e^{\left(16 \, e\right)} - 11440 \, a^{13} b^{9} e^{\left(16 \, e\right)} + 12870 \, a^{12} b^{10} e^{\left(16 \, e\right)} - 11440 \, a^{11} b^{11} e^{\left(16 \, e\right)} + 8008 \, a^{10} b^{12} e^{\left(16 \, e\right)} - 4368 \, a^{9} b^{13} e^{\left(16 \, e\right)} + 1820 \, a^{8} b^{14} e^{\left(16 \, e\right)} - 560 \, a^{7} b^{15} e^{\left(16 \, e\right)} + 120 \, a^{6} b^{16} e^{\left(16 \, e\right)} - 16 \, a^{5} b^{17} e^{\left(16 \, e\right)} + a^{4} b^{18} e^{\left(16 \, e\right)}}\right)} e^{\left(2 \, f x\right)} + \frac{3 \, {\left(a^{18} b^{3} e^{\left(17 \, e\right)} - 12 \, a^{17} b^{4} e^{\left(17 \, e\right)} + 65 \, a^{16} b^{5} e^{\left(17 \, e\right)} - 208 \, a^{15} b^{6} e^{\left(17 \, e\right)} + 429 \, a^{14} b^{7} e^{\left(17 \, e\right)} - 572 \, a^{13} b^{8} e^{\left(17 \, e\right)} + 429 \, a^{12} b^{9} e^{\left(17 \, e\right)} - 429 \, a^{10} b^{11} e^{\left(17 \, e\right)} + 572 \, a^{9} b^{12} e^{\left(17 \, e\right)} - 429 \, a^{8} b^{13} e^{\left(17 \, e\right)} + 208 \, a^{7} b^{14} e^{\left(17 \, e\right)} - 65 \, a^{6} b^{15} e^{\left(17 \, e\right)} + 12 \, a^{5} b^{16} e^{\left(17 \, e\right)} - a^{4} b^{17} e^{\left(17 \, e\right)}\right)}}{a^{20} b^{2} e^{\left(16 \, e\right)} - 16 \, a^{19} b^{3} e^{\left(16 \, e\right)} + 120 \, a^{18} b^{4} e^{\left(16 \, e\right)} - 560 \, a^{17} b^{5} e^{\left(16 \, e\right)} + 1820 \, a^{16} b^{6} e^{\left(16 \, e\right)} - 4368 \, a^{15} b^{7} e^{\left(16 \, e\right)} + 8008 \, a^{14} b^{8} e^{\left(16 \, e\right)} - 11440 \, a^{13} b^{9} e^{\left(16 \, e\right)} + 12870 \, a^{12} b^{10} e^{\left(16 \, e\right)} - 11440 \, a^{11} b^{11} e^{\left(16 \, e\right)} + 8008 \, a^{10} b^{12} e^{\left(16 \, e\right)} - 4368 \, a^{9} b^{13} e^{\left(16 \, e\right)} + 1820 \, a^{8} b^{14} e^{\left(16 \, e\right)} - 560 \, a^{7} b^{15} e^{\left(16 \, e\right)} + 120 \, a^{6} b^{16} e^{\left(16 \, e\right)} - 16 \, a^{5} b^{17} e^{\left(16 \, e\right)} + a^{4} b^{18} e^{\left(16 \, e\right)}}\right)} e^{\left(f x\right)}}{3 \, {\left(b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b\right)}^{\frac{3}{2}} f} + \frac{\frac{{\left(3 \, a e^{e} + 2 \, b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b} + \sqrt{b}}{2 \, \sqrt{a - b}}\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a - b}} - \frac{2 \, {\left(a e^{e} + b e^{e}\right)} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}}{\sqrt{-b}}\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{-b}} - \frac{2 \, {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{3} a e^{e} + 7 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} a \sqrt{b} e^{e} - 4 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} b^{\frac{3}{2}} e^{e} + 12 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a^{2} e^{e} - 17 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} a b e^{e} + 8 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} b^{2} e^{e} - 4 \, a^{2} \sqrt{b} e^{e} + 9 \, a b^{\frac{3}{2}} e^{e} - 4 \, b^{\frac{5}{2}} e^{e}\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left({\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)}^{2} + 2 \, {\left(\sqrt{b} e^{\left(2 \, f x + 2 \, e\right)} - \sqrt{b e^{\left(4 \, f x + 4 \, e\right)} + 4 \, a e^{\left(2 \, f x + 2 \, e\right)} - 2 \, b e^{\left(2 \, f x + 2 \, e\right)} + b}\right)} \sqrt{b} + 4 \, a - 3 \, b\right)}^{2}}}{f^{2}}"," ",0,"2/3*((3*(a^18*b^3*e^(21*e) - 12*a^17*b^4*e^(21*e) + 65*a^16*b^5*e^(21*e) - 208*a^15*b^6*e^(21*e) + 429*a^14*b^7*e^(21*e) - 572*a^13*b^8*e^(21*e) + 429*a^12*b^9*e^(21*e) - 429*a^10*b^11*e^(21*e) + 572*a^9*b^12*e^(21*e) - 429*a^8*b^13*e^(21*e) + 208*a^7*b^14*e^(21*e) - 65*a^6*b^15*e^(21*e) + 12*a^5*b^16*e^(21*e) - a^4*b^17*e^(21*e))*e^(2*f*x)/(a^20*b^2*e^(16*e) - 16*a^19*b^3*e^(16*e) + 120*a^18*b^4*e^(16*e) - 560*a^17*b^5*e^(16*e) + 1820*a^16*b^6*e^(16*e) - 4368*a^15*b^7*e^(16*e) + 8008*a^14*b^8*e^(16*e) - 11440*a^13*b^9*e^(16*e) + 12870*a^12*b^10*e^(16*e) - 11440*a^11*b^11*e^(16*e) + 8008*a^10*b^12*e^(16*e) - 4368*a^9*b^13*e^(16*e) + 1820*a^8*b^14*e^(16*e) - 560*a^7*b^15*e^(16*e) + 120*a^6*b^16*e^(16*e) - 16*a^5*b^17*e^(16*e) + a^4*b^18*e^(16*e)) + 2*(8*a^19*b^2*e^(19*e) - 103*a^18*b^3*e^(19*e) + 608*a^17*b^4*e^(19*e) - 2171*a^16*b^5*e^(19*e) + 5200*a^15*b^6*e^(19*e) - 8723*a^14*b^7*e^(19*e) + 10296*a^13*b^8*e^(19*e) - 8151*a^12*b^9*e^(19*e) + 3432*a^11*b^10*e^(19*e) + 715*a^10*b^11*e^(19*e) - 2288*a^9*b^12*e^(19*e) + 1807*a^8*b^13*e^(19*e) - 832*a^7*b^14*e^(19*e) + 239*a^6*b^15*e^(19*e) - 40*a^5*b^16*e^(19*e) + 3*a^4*b^17*e^(19*e))/(a^20*b^2*e^(16*e) - 16*a^19*b^3*e^(16*e) + 120*a^18*b^4*e^(16*e) - 560*a^17*b^5*e^(16*e) + 1820*a^16*b^6*e^(16*e) - 4368*a^15*b^7*e^(16*e) + 8008*a^14*b^8*e^(16*e) - 11440*a^13*b^9*e^(16*e) + 12870*a^12*b^10*e^(16*e) - 11440*a^11*b^11*e^(16*e) + 8008*a^10*b^12*e^(16*e) - 4368*a^9*b^13*e^(16*e) + 1820*a^8*b^14*e^(16*e) - 560*a^7*b^15*e^(16*e) + 120*a^6*b^16*e^(16*e) - 16*a^5*b^17*e^(16*e) + a^4*b^18*e^(16*e)))*e^(2*f*x) + 3*(a^18*b^3*e^(17*e) - 12*a^17*b^4*e^(17*e) + 65*a^16*b^5*e^(17*e) - 208*a^15*b^6*e^(17*e) + 429*a^14*b^7*e^(17*e) - 572*a^13*b^8*e^(17*e) + 429*a^12*b^9*e^(17*e) - 429*a^10*b^11*e^(17*e) + 572*a^9*b^12*e^(17*e) - 429*a^8*b^13*e^(17*e) + 208*a^7*b^14*e^(17*e) - 65*a^6*b^15*e^(17*e) + 12*a^5*b^16*e^(17*e) - a^4*b^17*e^(17*e))/(a^20*b^2*e^(16*e) - 16*a^19*b^3*e^(16*e) + 120*a^18*b^4*e^(16*e) - 560*a^17*b^5*e^(16*e) + 1820*a^16*b^6*e^(16*e) - 4368*a^15*b^7*e^(16*e) + 8008*a^14*b^8*e^(16*e) - 11440*a^13*b^9*e^(16*e) + 12870*a^12*b^10*e^(16*e) - 11440*a^11*b^11*e^(16*e) + 8008*a^10*b^12*e^(16*e) - 4368*a^9*b^13*e^(16*e) + 1820*a^8*b^14*e^(16*e) - 560*a^7*b^15*e^(16*e) + 120*a^6*b^16*e^(16*e) - 16*a^5*b^17*e^(16*e) + a^4*b^18*e^(16*e)))*e^(f*x)/((b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b)^(3/2)*f) + ((3*a*e^e + 2*b*e^e)*arctan(-1/2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b) + sqrt(b))/sqrt(a - b))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a - b)) - 2*(a*e^e + b*e^e)*arctan(-(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))/sqrt(-b))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(-b)) - 2*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^3*a*e^e + 7*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*a*sqrt(b)*e^e - 4*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2*b^(3/2)*e^e + 12*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a^2*e^e - 17*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*a*b*e^e + 8*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*b^2*e^e - 4*a^2*sqrt(b)*e^e + 9*a*b^(3/2)*e^e - 4*b^(5/2)*e^e)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*((sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))^2 + 2*(sqrt(b)*e^(2*f*x + 2*e) - sqrt(b*e^(4*f*x + 4*e) + 4*a*e^(2*f*x + 2*e) - 2*b*e^(2*f*x + 2*e) + b))*sqrt(b) + 4*a - 3*b)^2))/f^2","B",0
503,-2,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 2.85Error: Bad Argument Type","F(-2)",0
504,-2,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.73Error: Bad Argument Type","F(-2)",0
505,-2,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 2.74Error: Bad Argument Type","F(-2)",0
506,-2,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 9.86Error: Bad Argument Type","F(-2)",0
507,-2,0,0,0.000000," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 7.71Error: Bad Argument Type","F(-2)",0
508,-2,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 4.24Error: Bad Argument Type","F(-2)",0
509,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.45Error: Bad Argument Type","F(-2)",0
510,-2,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.89Error: Bad Argument Type","F(-2)",0
511,-2,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 2.35Error: Bad Argument Type","F(-2)",0
512,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^m,x, algorithm=""giac"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{p} \left(d \tanh\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^p*(d*tanh(f*x + e))^m, x)","F",0
513,0,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^3,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \tanh\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*tanh(d*x + c)^3, x)","F",0
514,0,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c),x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \tanh\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*tanh(d*x + c), x)","F",0
515,0,0,0,0.000000," ","integrate(coth(d*x+c)*(a+b*sinh(d*x+c)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \coth\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*coth(d*x + c), x)","F",0
516,0,0,0,0.000000," ","integrate(coth(d*x+c)^3*(a+b*sinh(d*x+c)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \coth\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*coth(d*x + c)^3, x)","F",0
517,0,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^4,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \tanh\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*tanh(d*x + c)^4, x)","F",0
518,0,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^2,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \tanh\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*tanh(d*x + c)^2, x)","F",0
519,0,0,0,0.000000," ","integrate(coth(d*x+c)^2*(a+b*sinh(d*x+c)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \coth\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*coth(d*x + c)^2, x)","F",0
520,0,0,0,0.000000," ","integrate(coth(d*x+c)^4*(a+b*sinh(d*x+c)^2)^p,x, algorithm=""giac"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{p} \coth\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^p*coth(d*x + c)^4, x)","F",0
521,1,209,0,0.172099," ","integrate(coth(x)^3/(a+b*sinh(x)^3),x, algorithm=""giac"")","\frac{b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| -2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} - e^{\left(-x\right)} + e^{x} \right|}\right)}{3 \, a^{2}} - \frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 8 \, a \right|}\right)}{3 \, a} + \frac{\log\left({\left| -e^{\left(-x\right)} + e^{x} \right|}\right)}{a} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}} - e^{\left(-x\right)} + e^{x}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2}} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} {\left(e^{\left(-x\right)} - e^{x}\right)} + 4 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{2}} - \frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4}{2 \, a {\left(e^{\left(-x\right)} - e^{x}\right)}^{2}}"," ",0,"1/3*b*(-a/b)^(1/3)*log(abs(-2*(-a/b)^(1/3) - e^(-x) + e^x))/a^2 - 1/3*log(abs(-b*(e^(-x) - e^x)^3 + 8*a))/a + log(abs(-e^(-x) + e^x))/a - 1/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*((-a/b)^(1/3) - e^(-x) + e^x)/(-a/b)^(1/3))/a^2 - 1/6*(-a*b^2)^(1/3)*log((e^(-x) - e^x)^2 - 2*(-a/b)^(1/3)*(e^(-x) - e^x) + 4*(-a/b)^(2/3))/a^2 - 1/2*(3*(e^(-x) - e^x)^2 + 4)/(a*(e^(-x) - e^x)^2)","A",0
522,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(x\right)}{\sqrt{b \sinh\left(x\right)^{3} + a}}\,{d x}"," ",0,"integrate(coth(x)/sqrt(b*sinh(x)^3 + a), x)","F",0
523,0,0,0,0.000000," ","integrate(coth(x)*(a+b*sinh(x)^3)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sinh\left(x\right)^{3} + a} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(x)^3 + a)*coth(x), x)","F",0
524,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x)^n)^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(x\right)}{\sqrt{b \sinh\left(x\right)^{n} + a}}\,{d x}"," ",0,"integrate(coth(x)/sqrt(b*sinh(x)^n + a), x)","F",0
525,0,0,0,0.000000," ","integrate(coth(x)*(a+b*sinh(x)^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sinh\left(x\right)^{n} + a} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(x)^n + a)*coth(x), x)","F",0
