1,1,150,0,0.653739," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{64} \, a {\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)} - \frac{1}{384} \, b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a*(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) - 1/384*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
2,1,141,0,0.481456," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{480} \, b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a {\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,"1/480*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/24*a*(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)","B",0
3,1,97,0,0.316118," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\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)} - \frac{1}{8} \, a {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)}"," ",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) - 1/8*a*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d)","A",0
4,1,67,0,0.310114," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\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)} + \frac{a \cosh\left(d x + c\right)}{d}"," ",0,"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*cosh(d*x + c)/d","B",0
5,1,38,0,0.333394," ","integrate(a+b*sinh(d*x+c)^2,x, algorithm=""maxima"")","-\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
6,1,43,0,0.310519," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"1/2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + a*log(tanh(1/2*d*x + 1/2*c))/d","A",0
7,1,23,0,0.426226," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","b x + \frac{2 \, a}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"b*x + 2*a/(d*(e^(-2*d*x - 2*c) - 1))","A",0
8,1,125,0,0.333452," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} - b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"1/2*a*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) - b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
9,1,113,0,0.451326," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{4}{3} \, a {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)} + \frac{2 \, b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"4/3*a*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))) + 2*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
10,1,267,0,0.493448," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{64} \, a^{2} {\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)} - \frac{1}{6144} \, b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} - \frac{1}{192} \, a b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a^2*(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) - 1/6144*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) - 1/192*a*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
11,1,247,0,0.384523," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{4480} \, b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{240} \, a b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{2} {\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,"-1/4480*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/240*a*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/24*a^2*(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)","B",0
12,1,189,0,0.354991," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{32} \, a 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)} - \frac{1}{8} \, a^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{384} \, b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/32*a*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) - 1/8*a^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/384*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
13,1,157,0,0.409007," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{480} \, b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{12} \, a 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)} + \frac{a^{2} \cosh\left(d x + c\right)}{d}"," ",0,"1/480*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/12*a*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^2*cosh(d*x + c)/d","B",0
14,1,105,0,0.351446," ","integrate((a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{64} \, b^{2} {\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)} - \frac{1}{4} \, a 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^{2} x"," ",0,"1/64*b^2*(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) - 1/4*a*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^2*x","A",0
15,1,102,0,0.601687," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{24} \, b^{2} {\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)} + a b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a^{2} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"1/24*b^2*(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*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + a^2*log(tanh(1/2*d*x + 1/2*c))/d","B",0
16,1,63,0,0.433455," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + 2 \, a b x + \frac{2 \, a^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/8*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 2*a*b*x + 2*a^2/(d*(e^(-2*d*x - 2*c) - 1))","A",0
17,1,157,0,0.590770," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} - 2 \, a b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"1/2*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) - 2*a*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
18,1,121,0,0.471247," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","b^{2} x + \frac{4}{3} \, a^{2} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)} + \frac{4 \, a b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"b^2*x + 4/3*a^2*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))) + 4*a*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
19,1,405,0,0.369884," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{64} \, a^{3} {\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)} - \frac{1}{20480} \, b^{3} {\left(\frac{{\left(25 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 \, e^{\left(-4 \, d x - 4 \, c\right)} + 600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2100 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{5040 \, {\left(d x + c\right)}}{d} + \frac{2100 \, e^{\left(-2 \, d x - 2 \, c\right)} - 600 \, e^{\left(-4 \, d x - 4 \, c\right)} + 150 \, e^{\left(-6 \, d x - 6 \, c\right)} - 25 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{1}{2048} \, a b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} - \frac{1}{128} \, a^{2} b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a^3*(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) - 1/20480*b^3*((25*e^(-2*d*x - 2*c) - 150*e^(-4*d*x - 4*c) + 600*e^(-6*d*x - 6*c) - 2100*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 5040*(d*x + c)/d + (2100*e^(-2*d*x - 2*c) - 600*e^(-4*d*x - 4*c) + 150*e^(-6*d*x - 6*c) - 25*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 1/2048*a*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) - 1/128*a^2*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
20,1,376,0,0.493939," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{161280} \, b^{3} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} - \frac{3}{4480} \, a b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{160} \, a^{2} b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{3} {\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,"-1/161280*b^3*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) - 3/4480*a*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/160*a^2*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/24*a^3*(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)","B",0
21,1,306,0,0.355564," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a^{2} 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)} - \frac{1}{8} \, a^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{6144} \, b^{3} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} - \frac{1}{128} \, a b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"3/64*a^2*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) - 1/8*a^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/6144*b^3*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) - 1/128*a*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
22,1,263,0,0.458197," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{4480} \, b^{3} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{160} \, a b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{8} \, a^{2} 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)} + \frac{a^{3} \cosh\left(d x + c\right)}{d}"," ",0,"-1/4480*b^3*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/160*a*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/8*a^2*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^3*cosh(d*x + c)/d","B",0
23,1,197,0,0.329903," ","integrate((a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a b^{2} {\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)} - \frac{3}{8} \, a^{2} 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^{3} x - \frac{1}{384} \, b^{3} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"3/64*a*b^2*(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) - 3/8*a^2*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^3*x - 1/384*b^3*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
24,1,193,0,0.798656," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{480} \, b^{3} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{8} \, a b^{2} {\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)} + \frac{3}{2} \, a^{2} b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a^{3} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"1/480*b^3*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 1/8*a*b^2*(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) + 3/2*a^2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + a^3*log(tanh(1/2*d*x + 1/2*c))/d","B",0
25,1,130,0,0.328870," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{64} \, b^{3} {\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)} - \frac{3}{8} \, a b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + 3 \, a^{2} b x + \frac{2 \, a^{3}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"1/64*b^3*(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) - 3/8*a*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 3*a^2*b*x + 2*a^3/(d*(e^(-2*d*x - 2*c) - 1))","A",0
26,1,217,0,0.339379," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{24} \, b^{3} {\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)} + \frac{3}{2} \, a b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a^{3} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} - 3 \, a^{2} b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"1/24*b^3*(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) + 3/2*a*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a^3*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) - 3*a^2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
27,1,161,0,0.338712," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + 3 \, a b^{2} x + \frac{4}{3} \, a^{3} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)} + \frac{6 \, a^{2} b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/8*b^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 3*a*b^2*x + 4/3*a^3*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))) + 6*a^2*b/(d*(e^(-2*d*x - 2*c) - 1))","A",0
28,0,0,0,0.000000," ","integrate(sinh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 3 \, b^{2} - 5 \, {\left(4 \, a b e^{\left(8 \, c\right)} + 5 \, b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 30 \, {\left(8 \, a^{2} e^{\left(6 \, c\right)} + 6 \, a b e^{\left(6 \, c\right)} + 5 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 30 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} + 6 \, a b e^{\left(4 \, c\right)} + 5 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 5 \, {\left(4 \, a b e^{\left(2 \, c\right)} + 5 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{480 \, b^{3} d} - \frac{1}{128} \, \int \frac{256 \, {\left(a^{3} e^{\left(3 \, d x + 3 \, c\right)} - a^{3} e^{\left(d x + c\right)}\right)}}{b^{4} e^{\left(4 \, d x + 4 \, c\right)} + b^{4} + 2 \, {\left(2 \, a b^{3} e^{\left(2 \, c\right)} - b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/480*(3*b^2*e^(10*d*x + 10*c) + 3*b^2 - 5*(4*a*b*e^(8*c) + 5*b^2*e^(8*c))*e^(8*d*x) + 30*(8*a^2*e^(6*c) + 6*a*b*e^(6*c) + 5*b^2*e^(6*c))*e^(6*d*x) + 30*(8*a^2*e^(4*c) + 6*a*b*e^(4*c) + 5*b^2*e^(4*c))*e^(4*d*x) - 5*(4*a*b*e^(2*c) + 5*b^2*e^(2*c))*e^(2*d*x))*e^(-5*d*x - 5*c)/(b^3*d) - 1/128*integrate(256*(a^3*e^(3*d*x + 3*c) - a^3*e^(d*x + c))/(b^4*e^(4*d*x + 4*c) + b^4 + 2*(2*a*b^3*e^(2*c) - b^4*e^(2*c))*e^(2*d*x)), x)","F",0
29,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
30,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-\frac{{\left(3 \, {\left(4 \, a e^{\left(4 \, c\right)} + 3 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 3 \, {\left(4 \, a e^{\left(2 \, c\right)} + 3 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - b e^{\left(6 \, d x + 6 \, c\right)} - b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, b^{2} d} + \frac{1}{32} \, \int \frac{64 \, {\left(a^{2} e^{\left(3 \, d x + 3 \, c\right)} - a^{2} e^{\left(d x + c\right)}\right)}}{b^{3} e^{\left(4 \, d x + 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/24*(3*(4*a*e^(4*c) + 3*b*e^(4*c))*e^(4*d*x) + 3*(4*a*e^(2*c) + 3*b*e^(2*c))*e^(2*d*x) - b*e^(6*d*x + 6*c) - b)*e^(-3*d*x - 3*c)/(b^2*d) + 1/32*integrate(64*(a^2*e^(3*d*x + 3*c) - a^2*e^(d*x + c))/(b^3*e^(4*d*x + 4*c) + b^3 + 2*(2*a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
31,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
32,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)} e^{\left(-d x - c\right)}}{2 \, b d} - \frac{1}{8} \, \int \frac{16 \, {\left(a e^{\left(3 \, d x + 3 \, c\right)} - a e^{\left(d x + c\right)}\right)}}{b^{2} e^{\left(4 \, d x + 4 \, c\right)} + b^{2} + 2 \, {\left(2 \, a b e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/2*(e^(2*d*x + 2*c) + 1)*e^(-d*x - c)/(b*d) - 1/8*integrate(16*(a*e^(3*d*x + 3*c) - a*e^(d*x + c))/(b^2*e^(4*d*x + 4*c) + b^2 + 2*(2*a*b*e^(2*c) - b^2*e^(2*c))*e^(2*d*x)), x)","F",0
33,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
34,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\int \frac{\sinh\left(d x + c\right)}{b \sinh\left(d x + c\right)^{2} + a}\,{d x}"," ",0,"integrate(sinh(d*x + c)/(b*sinh(d*x + c)^2 + a), x)","F",0
35,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
36,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-\frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a d} - 2 \, \int \frac{b e^{\left(3 \, d x + 3 \, c\right)} - b e^{\left(d x + c\right)}}{a b e^{\left(4 \, d x + 4 \, c\right)} + a b + 2 \, {\left(2 \, a^{2} e^{\left(2 \, c\right)} - a b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-log((e^(d*x + c) + 1)*e^(-c))/(a*d) + log((e^(d*x + c) - 1)*e^(-c))/(a*d) - 2*integrate((b*e^(3*d*x + 3*c) - b*e^(d*x + c))/(a*b*e^(4*d*x + 4*c) + a*b + 2*(2*a^2*e^(2*c) - a*b*e^(2*c))*e^(2*d*x)), x)","F",0
37,-2,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
38,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-\frac{e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}}{a d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a d e^{\left(2 \, d x + 2 \, c\right)} + a d} + \frac{{\left(a + 2 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{2} d} - \frac{{\left(a + 2 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{2} d} + 8 \, \int \frac{b^{2} e^{\left(3 \, d x + 3 \, c\right)} - b^{2} e^{\left(d x + c\right)}}{4 \, {\left(a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + a^{2} b + 2 \, {\left(2 \, a^{3} e^{\left(2 \, c\right)} - a^{2} b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-(e^(3*d*x + 3*c) + e^(d*x + c))/(a*d*e^(4*d*x + 4*c) - 2*a*d*e^(2*d*x + 2*c) + a*d) + 1/2*(a + 2*b)*log((e^(d*x + c) + 1)*e^(-c))/(a^2*d) - 1/2*(a + 2*b)*log((e^(d*x + c) - 1)*e^(-c))/(a^2*d) + 8*integrate(1/4*(b^2*e^(3*d*x + 3*c) - b^2*e^(d*x + c))/(a^2*b*e^(4*d*x + 4*c) + a^2*b + 2*(2*a^3*e^(2*c) - a^2*b*e^(2*c))*e^(2*d*x)), x)","F",0
39,-2,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
40,0,0,0,0.000000," ","integrate(csch(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, a e^{\left(7 \, c\right)} + 4 \, b e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(11 \, a e^{\left(5 \, c\right)} + 4 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(11 \, a e^{\left(3 \, c\right)} + 4 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(3 \, a e^{c} + 4 \, b e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} d e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a^{2} d e^{\left(6 \, d x + 6 \, c\right)} + 6 \, a^{2} d e^{\left(4 \, d x + 4 \, c\right)} - 4 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d\right)}} - \frac{{\left(3 \, a^{2} + 4 \, a b + 8 \, b^{2}\right)} \log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{8 \, a^{3} d} + \frac{{\left(3 \, a^{2} + 4 \, a b + 8 \, b^{2}\right)} \log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{8 \, a^{3} d} - 32 \, \int \frac{b^{3} e^{\left(3 \, d x + 3 \, c\right)} - b^{3} e^{\left(d x + c\right)}}{16 \, {\left(a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + a^{3} b + 2 \, {\left(2 \, a^{4} e^{\left(2 \, c\right)} - a^{3} b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/4*((3*a*e^(7*c) + 4*b*e^(7*c))*e^(7*d*x) - (11*a*e^(5*c) + 4*b*e^(5*c))*e^(5*d*x) - (11*a*e^(3*c) + 4*b*e^(3*c))*e^(3*d*x) + (3*a*e^c + 4*b*e^c)*e^(d*x))/(a^2*d*e^(8*d*x + 8*c) - 4*a^2*d*e^(6*d*x + 6*c) + 6*a^2*d*e^(4*d*x + 4*c) - 4*a^2*d*e^(2*d*x + 2*c) + a^2*d) - 1/8*(3*a^2 + 4*a*b + 8*b^2)*log((e^(d*x + c) + 1)*e^(-c))/(a^3*d) + 1/8*(3*a^2 + 4*a*b + 8*b^2)*log((e^(d*x + c) - 1)*e^(-c))/(a^3*d) - 32*integrate(1/16*(b^3*e^(3*d*x + 3*c) - b^3*e^(d*x + c))/(a^3*b*e^(4*d*x + 4*c) + a^3*b + 2*(2*a^4*e^(2*c) - a^3*b*e^(2*c))*e^(2*d*x)), x)","F",0
41,-2,0,0,0.000000," ","integrate(csch(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
42,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
43,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{a e^{\left(3 \, d x + 3 \, c\right)} + a e^{\left(d x + c\right)}}{a b^{2} d - b^{3} d + {\left(a b^{2} d e^{\left(4 \, c\right)} - b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{2} b d e^{\left(2 \, c\right)} - 3 \, a b^{2} d e^{\left(2 \, c\right)} + b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{1}{8} \, \int \frac{8 \, {\left({\left(a e^{\left(3 \, c\right)} - 2 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a e^{c} - 2 \, b e^{c}\right)} e^{\left(d x\right)}\right)}}{a b^{2} - b^{3} + {\left(a b^{2} e^{\left(4 \, c\right)} - b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{2} b e^{\left(2 \, c\right)} - 3 \, a b^{2} e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-(a*e^(3*d*x + 3*c) + a*e^(d*x + c))/(a*b^2*d - b^3*d + (a*b^2*d*e^(4*c) - b^3*d*e^(4*c))*e^(4*d*x) + 2*(2*a^2*b*d*e^(2*c) - 3*a*b^2*d*e^(2*c) + b^3*d*e^(2*c))*e^(2*d*x)) + 1/8*integrate(8*((a*e^(3*c) - 2*b*e^(3*c))*e^(3*d*x) - (a*e^c - 2*b*e^c)*e^(d*x))/(a*b^2 - b^3 + (a*b^2*e^(4*c) - b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^2*b*e^(2*c) - 3*a*b^2*e^(2*c) + b^3*e^(2*c))*e^(2*d*x)), x)","F",0
44,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
45,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}}{a b d - b^{2} d + {\left(a b d e^{\left(4 \, c\right)} - b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{2} d e^{\left(2 \, c\right)} - 3 \, a b d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{1}{2} \, \int \frac{2 \, {\left(e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}\right)}}{a b - b^{2} + {\left(a b e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{2} e^{\left(2 \, c\right)} - 3 \, a b e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"(e^(3*d*x + 3*c) + e^(d*x + c))/(a*b*d - b^2*d + (a*b*d*e^(4*c) - b^2*d*e^(4*c))*e^(4*d*x) + 2*(2*a^2*d*e^(2*c) - 3*a*b*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(2*(e^(3*d*x + 3*c) - e^(d*x + c))/(a*b - b^2 + (a*b*e^(4*c) - b^2*e^(4*c))*e^(4*d*x) + 2*(2*a^2*e^(2*c) - 3*a*b*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
46,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
47,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{b e^{\left(3 \, d x + 3 \, c\right)} + b e^{\left(d x + c\right)}}{a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(4 \, c\right)} - a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{3} d e^{\left(2 \, c\right)} - 3 \, a^{2} b d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} - 2 \, \int \frac{{\left(3 \, a b e^{\left(3 \, c\right)} - 2 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(3 \, a b e^{c} - 2 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{2 \, {\left(a^{3} b - a^{2} b^{2} + {\left(a^{3} b e^{\left(4 \, c\right)} - a^{2} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{4} e^{\left(2 \, c\right)} - 3 \, a^{3} b e^{\left(2 \, c\right)} + a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-(b*e^(3*d*x + 3*c) + b*e^(d*x + c))/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(4*c) - a*b^2*d*e^(4*c))*e^(4*d*x) + 2*(2*a^3*d*e^(2*c) - 3*a^2*b*d*e^(2*c) + a*b^2*d*e^(2*c))*e^(2*d*x)) - log((e^(d*x + c) + 1)*e^(-c))/(a^2*d) + log((e^(d*x + c) - 1)*e^(-c))/(a^2*d) - 2*integrate(1/2*((3*a*b*e^(3*c) - 2*b^2*e^(3*c))*e^(3*d*x) - (3*a*b*e^c - 2*b^2*e^c)*e^(d*x))/(a^3*b - a^2*b^2 + (a^3*b*e^(4*c) - a^2*b^2*e^(4*c))*e^(4*d*x) + 2*(2*a^4*e^(2*c) - 3*a^3*b*e^(2*c) + a^2*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
48,-2,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
49,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{{\left(a b e^{\left(7 \, c\right)} - 2 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(4 \, a^{2} e^{\left(5 \, c\right)} - 5 \, a b e^{\left(5 \, c\right)} + 2 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(4 \, a^{2} e^{\left(3 \, c\right)} - 5 \, a b e^{\left(3 \, c\right)} + 2 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a b e^{c} - 2 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{a^{3} b d - a^{2} b^{2} d + {\left(a^{3} b d e^{\left(8 \, c\right)} - a^{2} b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(a^{4} d e^{\left(6 \, c\right)} - 2 \, a^{3} b d e^{\left(6 \, c\right)} + a^{2} b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(4 \, a^{4} d e^{\left(4 \, c\right)} - 7 \, a^{3} b d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{4} d e^{\left(2 \, c\right)} - 2 \, a^{3} b d e^{\left(2 \, c\right)} + a^{2} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{{\left(a + 4 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{3} d} - \frac{{\left(a + 4 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{3} d} + 8 \, \int \frac{{\left(5 \, a b^{2} e^{\left(3 \, c\right)} - 4 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, a b^{2} e^{c} - 4 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{4} b - a^{3} b^{2} + {\left(a^{4} b e^{\left(4 \, c\right)} - a^{3} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{5} e^{\left(2 \, c\right)} - 3 \, a^{4} b e^{\left(2 \, c\right)} + a^{3} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-((a*b*e^(7*c) - 2*b^2*e^(7*c))*e^(7*d*x) + (4*a^2*e^(5*c) - 5*a*b*e^(5*c) + 2*b^2*e^(5*c))*e^(5*d*x) + (4*a^2*e^(3*c) - 5*a*b*e^(3*c) + 2*b^2*e^(3*c))*e^(3*d*x) + (a*b*e^c - 2*b^2*e^c)*e^(d*x))/(a^3*b*d - a^2*b^2*d + (a^3*b*d*e^(8*c) - a^2*b^2*d*e^(8*c))*e^(8*d*x) + 4*(a^4*d*e^(6*c) - 2*a^3*b*d*e^(6*c) + a^2*b^2*d*e^(6*c))*e^(6*d*x) - 2*(4*a^4*d*e^(4*c) - 7*a^3*b*d*e^(4*c) + 3*a^2*b^2*d*e^(4*c))*e^(4*d*x) + 4*(a^4*d*e^(2*c) - 2*a^3*b*d*e^(2*c) + a^2*b^2*d*e^(2*c))*e^(2*d*x)) + 1/2*(a + 4*b)*log((e^(d*x + c) + 1)*e^(-c))/(a^3*d) - 1/2*(a + 4*b)*log((e^(d*x + c) - 1)*e^(-c))/(a^3*d) + 8*integrate(1/8*((5*a*b^2*e^(3*c) - 4*b^3*e^(3*c))*e^(3*d*x) - (5*a*b^2*e^c - 4*b^3*e^c)*e^(d*x))/(a^4*b - a^3*b^2 + (a^4*b*e^(4*c) - a^3*b^2*e^(4*c))*e^(4*d*x) + 2*(2*a^5*e^(2*c) - 3*a^4*b*e^(2*c) + a^3*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
50,-2,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
51,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
52,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{{\left(a b e^{\left(7 \, c\right)} - 4 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(4 \, a^{2} e^{\left(5 \, c\right)} + 9 \, a b e^{\left(5 \, c\right)} - 4 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(4 \, a^{2} e^{\left(3 \, c\right)} + 9 \, a b e^{\left(3 \, c\right)} - 4 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a b e^{c} - 4 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} b^{3} d - 2 \, a b^{4} d + b^{5} d + {\left(a^{2} b^{3} d e^{\left(8 \, c\right)} - 2 \, a b^{4} d e^{\left(8 \, c\right)} + b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(2 \, a^{3} b^{2} d e^{\left(6 \, c\right)} - 5 \, a^{2} b^{3} d e^{\left(6 \, c\right)} + 4 \, a b^{4} d e^{\left(6 \, c\right)} - b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{4} b d e^{\left(4 \, c\right)} - 24 \, a^{3} b^{2} d e^{\left(4 \, c\right)} + 27 \, a^{2} b^{3} d e^{\left(4 \, c\right)} - 14 \, a b^{4} d e^{\left(4 \, c\right)} + 3 \, b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{3} b^{2} d e^{\left(2 \, c\right)} - 5 \, a^{2} b^{3} d e^{\left(2 \, c\right)} + 4 \, a b^{4} d e^{\left(2 \, c\right)} - b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{8} \, \int \frac{2 \, {\left({\left(a e^{\left(3 \, c\right)} - 4 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a e^{c} - 4 \, b e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} - 2 \, a b^{3} + b^{4} + {\left(a^{2} b^{2} e^{\left(4 \, c\right)} - 2 \, a b^{3} e^{\left(4 \, c\right)} + b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{3} b e^{\left(2 \, c\right)} - 5 \, a^{2} b^{2} e^{\left(2 \, c\right)} + 4 \, a b^{3} e^{\left(2 \, c\right)} - b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/4*((a*b*e^(7*c) - 4*b^2*e^(7*c))*e^(7*d*x) - (4*a^2*e^(5*c) + 9*a*b*e^(5*c) - 4*b^2*e^(5*c))*e^(5*d*x) - (4*a^2*e^(3*c) + 9*a*b*e^(3*c) - 4*b^2*e^(3*c))*e^(3*d*x) + (a*b*e^c - 4*b^2*e^c)*e^(d*x))/(a^2*b^3*d - 2*a*b^4*d + b^5*d + (a^2*b^3*d*e^(8*c) - 2*a*b^4*d*e^(8*c) + b^5*d*e^(8*c))*e^(8*d*x) + 4*(2*a^3*b^2*d*e^(6*c) - 5*a^2*b^3*d*e^(6*c) + 4*a*b^4*d*e^(6*c) - b^5*d*e^(6*c))*e^(6*d*x) + 2*(8*a^4*b*d*e^(4*c) - 24*a^3*b^2*d*e^(4*c) + 27*a^2*b^3*d*e^(4*c) - 14*a*b^4*d*e^(4*c) + 3*b^5*d*e^(4*c))*e^(4*d*x) + 4*(2*a^3*b^2*d*e^(2*c) - 5*a^2*b^3*d*e^(2*c) + 4*a*b^4*d*e^(2*c) - b^5*d*e^(2*c))*e^(2*d*x)) + 1/8*integrate(2*((a*e^(3*c) - 4*b*e^(3*c))*e^(3*d*x) - (a*e^c - 4*b*e^c)*e^(d*x))/(a^2*b^2 - 2*a*b^3 + b^4 + (a^2*b^2*e^(4*c) - 2*a*b^3*e^(4*c) + b^4*e^(4*c))*e^(4*d*x) + 2*(2*a^3*b*e^(2*c) - 5*a^2*b^2*e^(2*c) + 4*a*b^3*e^(2*c) - b^4*e^(2*c))*e^(2*d*x)), x)","F",0
53,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
54,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{{\left(20 \, a e^{\left(5 \, c\right)} - 11 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(20 \, a e^{\left(3 \, c\right)} - 11 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 3 \, b e^{\left(7 \, d x + 7 \, c\right)} + 3 \, b e^{\left(d x + c\right)}}{4 \, {\left(a^{2} b^{2} d - 2 \, a b^{3} d + b^{4} d + {\left(a^{2} b^{2} d e^{\left(8 \, c\right)} - 2 \, a b^{3} d e^{\left(8 \, c\right)} + b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(2 \, a^{3} b d e^{\left(6 \, c\right)} - 5 \, a^{2} b^{2} d e^{\left(6 \, c\right)} + 4 \, a b^{3} d e^{\left(6 \, c\right)} - b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{4} d e^{\left(4 \, c\right)} - 24 \, a^{3} b d e^{\left(4 \, c\right)} + 27 \, a^{2} b^{2} d e^{\left(4 \, c\right)} - 14 \, a b^{3} d e^{\left(4 \, c\right)} + 3 \, b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{3} b d e^{\left(2 \, c\right)} - 5 \, a^{2} b^{2} d e^{\left(2 \, c\right)} + 4 \, a b^{3} d e^{\left(2 \, c\right)} - b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{2} \, \int \frac{3 \, {\left(e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}\right)}}{2 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3} + {\left(a^{2} b e^{\left(4 \, c\right)} - 2 \, a b^{2} e^{\left(4 \, c\right)} + b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{3} e^{\left(2 \, c\right)} - 5 \, a^{2} b e^{\left(2 \, c\right)} + 4 \, a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/4*((20*a*e^(5*c) - 11*b*e^(5*c))*e^(5*d*x) + (20*a*e^(3*c) - 11*b*e^(3*c))*e^(3*d*x) + 3*b*e^(7*d*x + 7*c) + 3*b*e^(d*x + c))/(a^2*b^2*d - 2*a*b^3*d + b^4*d + (a^2*b^2*d*e^(8*c) - 2*a*b^3*d*e^(8*c) + b^4*d*e^(8*c))*e^(8*d*x) + 4*(2*a^3*b*d*e^(6*c) - 5*a^2*b^2*d*e^(6*c) + 4*a*b^3*d*e^(6*c) - b^4*d*e^(6*c))*e^(6*d*x) + 2*(8*a^4*d*e^(4*c) - 24*a^3*b*d*e^(4*c) + 27*a^2*b^2*d*e^(4*c) - 14*a*b^3*d*e^(4*c) + 3*b^4*d*e^(4*c))*e^(4*d*x) + 4*(2*a^3*b*d*e^(2*c) - 5*a^2*b^2*d*e^(2*c) + 4*a*b^3*d*e^(2*c) - b^4*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(3/2*(e^(3*d*x + 3*c) - e^(d*x + c))/(a^2*b - 2*a*b^2 + b^3 + (a^2*b*e^(4*c) - 2*a*b^2*e^(4*c) + b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^3*e^(2*c) - 5*a^2*b*e^(2*c) + 4*a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
55,-2,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
56,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{{\left(7 \, a b^{2} e^{\left(7 \, c\right)} - 4 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(36 \, a^{2} b e^{\left(5 \, c\right)} - 31 \, a b^{2} e^{\left(5 \, c\right)} + 4 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(36 \, a^{2} b e^{\left(3 \, c\right)} - 31 \, a b^{2} e^{\left(3 \, c\right)} + 4 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(7 \, a b^{2} e^{c} - 4 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(8 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(2 \, a^{5} b d e^{\left(6 \, c\right)} - 5 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 4 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{6} d e^{\left(4 \, c\right)} - 24 \, a^{5} b d e^{\left(4 \, c\right)} + 27 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 14 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{5} b d e^{\left(2 \, c\right)} - 5 \, a^{4} b^{2} d e^{\left(2 \, c\right)} + 4 \, a^{3} b^{3} d e^{\left(2 \, c\right)} - a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a^{3} d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a^{3} d} - 2 \, \int \frac{{\left(15 \, a^{2} b e^{\left(3 \, c\right)} - 20 \, a b^{2} e^{\left(3 \, c\right)} + 8 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(15 \, a^{2} b e^{c} - 20 \, a b^{2} e^{c} + 8 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3} + {\left(a^{5} b e^{\left(4 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(4 \, c\right)} + a^{3} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{6} e^{\left(2 \, c\right)} - 5 \, a^{5} b e^{\left(2 \, c\right)} + 4 \, a^{4} b^{2} e^{\left(2 \, c\right)} - a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/4*((7*a*b^2*e^(7*c) - 4*b^3*e^(7*c))*e^(7*d*x) + (36*a^2*b*e^(5*c) - 31*a*b^2*e^(5*c) + 4*b^3*e^(5*c))*e^(5*d*x) + (36*a^2*b*e^(3*c) - 31*a*b^2*e^(3*c) + 4*b^3*e^(3*c))*e^(3*d*x) + (7*a*b^2*e^c - 4*b^3*e^c)*e^(d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(8*c) - 2*a^3*b^3*d*e^(8*c) + a^2*b^4*d*e^(8*c))*e^(8*d*x) + 4*(2*a^5*b*d*e^(6*c) - 5*a^4*b^2*d*e^(6*c) + 4*a^3*b^3*d*e^(6*c) - a^2*b^4*d*e^(6*c))*e^(6*d*x) + 2*(8*a^6*d*e^(4*c) - 24*a^5*b*d*e^(4*c) + 27*a^4*b^2*d*e^(4*c) - 14*a^3*b^3*d*e^(4*c) + 3*a^2*b^4*d*e^(4*c))*e^(4*d*x) + 4*(2*a^5*b*d*e^(2*c) - 5*a^4*b^2*d*e^(2*c) + 4*a^3*b^3*d*e^(2*c) - a^2*b^4*d*e^(2*c))*e^(2*d*x)) - log((e^(d*x + c) + 1)*e^(-c))/(a^3*d) + log((e^(d*x + c) - 1)*e^(-c))/(a^3*d) - 2*integrate(1/8*((15*a^2*b*e^(3*c) - 20*a*b^2*e^(3*c) + 8*b^3*e^(3*c))*e^(3*d*x) - (15*a^2*b*e^c - 20*a*b^2*e^c + 8*b^3*e^c)*e^(d*x))/(a^5*b - 2*a^4*b^2 + a^3*b^3 + (a^5*b*e^(4*c) - 2*a^4*b^2*e^(4*c) + a^3*b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^6*e^(2*c) - 5*a^5*b*e^(2*c) + 4*a^4*b^2*e^(2*c) - a^3*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
57,-2,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
58,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{{\left(4 \, a^{2} b^{2} e^{\left(11 \, c\right)} - 19 \, a b^{3} e^{\left(11 \, c\right)} + 12 \, b^{4} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(32 \, a^{3} b e^{\left(9 \, c\right)} - 128 \, a^{2} b^{2} e^{\left(9 \, c\right)} + 129 \, a b^{3} e^{\left(9 \, c\right)} - 36 \, b^{4} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + 2 \, {\left(32 \, a^{4} e^{\left(7 \, c\right)} - 80 \, a^{3} b e^{\left(7 \, c\right)} + 94 \, a^{2} b^{2} e^{\left(7 \, c\right)} - 55 \, a b^{3} e^{\left(7 \, c\right)} + 12 \, b^{4} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + 2 \, {\left(32 \, a^{4} e^{\left(5 \, c\right)} - 80 \, a^{3} b e^{\left(5 \, c\right)} + 94 \, a^{2} b^{2} e^{\left(5 \, c\right)} - 55 \, a b^{3} e^{\left(5 \, c\right)} + 12 \, b^{4} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(32 \, a^{3} b e^{\left(3 \, c\right)} - 128 \, a^{2} b^{2} e^{\left(3 \, c\right)} + 129 \, a b^{3} e^{\left(3 \, c\right)} - 36 \, b^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(4 \, a^{2} b^{2} e^{c} - 19 \, a b^{3} e^{c} + 12 \, b^{4} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{5} b^{2} d - 2 \, a^{4} b^{3} d + a^{3} b^{4} d + {\left(a^{5} b^{2} d e^{\left(12 \, c\right)} - 2 \, a^{4} b^{3} d e^{\left(12 \, c\right)} + a^{3} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 2 \, {\left(4 \, a^{6} b d e^{\left(10 \, c\right)} - 11 \, a^{5} b^{2} d e^{\left(10 \, c\right)} + 10 \, a^{4} b^{3} d e^{\left(10 \, c\right)} - 3 \, a^{3} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + {\left(16 \, a^{7} d e^{\left(8 \, c\right)} - 64 \, a^{6} b d e^{\left(8 \, c\right)} + 95 \, a^{5} b^{2} d e^{\left(8 \, c\right)} - 62 \, a^{4} b^{3} d e^{\left(8 \, c\right)} + 15 \, a^{3} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(8 \, a^{7} d e^{\left(6 \, c\right)} - 28 \, a^{6} b d e^{\left(6 \, c\right)} + 37 \, a^{5} b^{2} d e^{\left(6 \, c\right)} - 22 \, a^{4} b^{3} d e^{\left(6 \, c\right)} + 5 \, a^{3} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + {\left(16 \, a^{7} d e^{\left(4 \, c\right)} - 64 \, a^{6} b d e^{\left(4 \, c\right)} + 95 \, a^{5} b^{2} d e^{\left(4 \, c\right)} - 62 \, a^{4} b^{3} d e^{\left(4 \, c\right)} + 15 \, a^{3} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(4 \, a^{6} b d e^{\left(2 \, c\right)} - 11 \, a^{5} b^{2} d e^{\left(2 \, c\right)} + 10 \, a^{4} b^{3} d e^{\left(2 \, c\right)} - 3 \, a^{3} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{{\left(a + 6 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{4} d} - \frac{{\left(a + 6 \, b\right)} \log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{2 \, a^{4} d} + 8 \, \int \frac{{\left(35 \, a^{2} b^{2} e^{\left(3 \, c\right)} - 56 \, a b^{3} e^{\left(3 \, c\right)} + 24 \, b^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(35 \, a^{2} b^{2} e^{c} - 56 \, a b^{3} e^{c} + 24 \, b^{4} e^{c}\right)} e^{\left(d x\right)}}{32 \, {\left(a^{6} b - 2 \, a^{5} b^{2} + a^{4} b^{3} + {\left(a^{6} b e^{\left(4 \, c\right)} - 2 \, a^{5} b^{2} e^{\left(4 \, c\right)} + a^{4} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{7} e^{\left(2 \, c\right)} - 5 \, a^{6} b e^{\left(2 \, c\right)} + 4 \, a^{5} b^{2} e^{\left(2 \, c\right)} - a^{4} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/4*((4*a^2*b^2*e^(11*c) - 19*a*b^3*e^(11*c) + 12*b^4*e^(11*c))*e^(11*d*x) + (32*a^3*b*e^(9*c) - 128*a^2*b^2*e^(9*c) + 129*a*b^3*e^(9*c) - 36*b^4*e^(9*c))*e^(9*d*x) + 2*(32*a^4*e^(7*c) - 80*a^3*b*e^(7*c) + 94*a^2*b^2*e^(7*c) - 55*a*b^3*e^(7*c) + 12*b^4*e^(7*c))*e^(7*d*x) + 2*(32*a^4*e^(5*c) - 80*a^3*b*e^(5*c) + 94*a^2*b^2*e^(5*c) - 55*a*b^3*e^(5*c) + 12*b^4*e^(5*c))*e^(5*d*x) + (32*a^3*b*e^(3*c) - 128*a^2*b^2*e^(3*c) + 129*a*b^3*e^(3*c) - 36*b^4*e^(3*c))*e^(3*d*x) + (4*a^2*b^2*e^c - 19*a*b^3*e^c + 12*b^4*e^c)*e^(d*x))/(a^5*b^2*d - 2*a^4*b^3*d + a^3*b^4*d + (a^5*b^2*d*e^(12*c) - 2*a^4*b^3*d*e^(12*c) + a^3*b^4*d*e^(12*c))*e^(12*d*x) + 2*(4*a^6*b*d*e^(10*c) - 11*a^5*b^2*d*e^(10*c) + 10*a^4*b^3*d*e^(10*c) - 3*a^3*b^4*d*e^(10*c))*e^(10*d*x) + (16*a^7*d*e^(8*c) - 64*a^6*b*d*e^(8*c) + 95*a^5*b^2*d*e^(8*c) - 62*a^4*b^3*d*e^(8*c) + 15*a^3*b^4*d*e^(8*c))*e^(8*d*x) - 4*(8*a^7*d*e^(6*c) - 28*a^6*b*d*e^(6*c) + 37*a^5*b^2*d*e^(6*c) - 22*a^4*b^3*d*e^(6*c) + 5*a^3*b^4*d*e^(6*c))*e^(6*d*x) + (16*a^7*d*e^(4*c) - 64*a^6*b*d*e^(4*c) + 95*a^5*b^2*d*e^(4*c) - 62*a^4*b^3*d*e^(4*c) + 15*a^3*b^4*d*e^(4*c))*e^(4*d*x) + 2*(4*a^6*b*d*e^(2*c) - 11*a^5*b^2*d*e^(2*c) + 10*a^4*b^3*d*e^(2*c) - 3*a^3*b^4*d*e^(2*c))*e^(2*d*x)) + 1/2*(a + 6*b)*log((e^(d*x + c) + 1)*e^(-c))/(a^4*d) - 1/2*(a + 6*b)*log((e^(d*x + c) - 1)*e^(-c))/(a^4*d) + 8*integrate(1/32*((35*a^2*b^2*e^(3*c) - 56*a*b^3*e^(3*c) + 24*b^4*e^(3*c))*e^(3*d*x) - (35*a^2*b^2*e^c - 56*a*b^3*e^c + 24*b^4*e^c)*e^(d*x))/(a^6*b - 2*a^5*b^2 + a^4*b^3 + (a^6*b*e^(4*c) - 2*a^5*b^2*e^(4*c) + a^4*b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^7*e^(2*c) - 5*a^6*b*e^(2*c) + 4*a^5*b^2*e^(2*c) - a^4*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
59,-2,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
60,1,10,0,0.311037," ","integrate(1/(1+sinh(x)^2),x, algorithm=""maxima"")","\frac{2}{e^{\left(-2 \, x\right)} + 1}"," ",0,"2/(e^(-2*x) + 1)","B",0
61,1,49,0,0.310181," ","integrate(1/(1+sinh(x)^2)^2,x, algorithm=""maxima"")","\frac{4 \, e^{\left(-2 \, x\right)}}{3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1} + \frac{4}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1\right)}}"," ",0,"4*e^(-2*x)/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1) + 4/3/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1)","B",0
62,1,111,0,0.322020," ","integrate(1/(1+sinh(x)^2)^3,x, algorithm=""maxima"")","\frac{16 \, e^{\left(-2 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}} + \frac{32 \, e^{\left(-4 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}} + \frac{16}{15 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}}"," ",0,"16/3*e^(-2*x)/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1) + 32/3*e^(-4*x)/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1) + 16/15/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1)","B",0
63,1,61,0,0.408327," ","integrate(1/(1-sinh(x)^2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \frac{1}{4} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - 1/4*sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1))","B",0
64,1,87,0,0.411438," ","integrate(1/(1-sinh(x)^2)^2,x, algorithm=""maxima"")","\frac{3}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \frac{3}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right) - \frac{3 \, e^{\left(-2 \, x\right)} - 1}{2 \, {\left(6 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1\right)}}"," ",0,"3/16*sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - 3/16*sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1)) - 1/2*(3*e^(-2*x) - 1)/(6*e^(-2*x) - e^(-4*x) - 1)","B",0
65,1,111,0,0.410339," ","integrate(1/(1-sinh(x)^2)^3,x, algorithm=""maxima"")","\frac{19}{128} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \frac{19}{128} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right) - \frac{89 \, e^{\left(-2 \, x\right)} - 171 \, e^{\left(-4 \, x\right)} + 19 \, e^{\left(-6 \, x\right)} - 9}{16 \, {\left(12 \, e^{\left(-2 \, x\right)} - 38 \, e^{\left(-4 \, x\right)} + 12 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1\right)}}"," ",0,"19/128*sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - 19/128*sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1)) - 1/16*(89*e^(-2*x) - 171*e^(-4*x) + 19*e^(-6*x) - 9)/(12*e^(-2*x) - 38*e^(-4*x) + 12*e^(-6*x) - e^(-8*x) - 1)","B",0
66,0,0,0,0.000000," ","integrate(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \sinh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sinh(f*x + e)^3, x)","F",0
67,0,0,0,0.000000," ","integrate(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \sinh\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sinh(f*x + e), x)","F",0
68,0,0,0,0.000000," ","integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{csch}\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*csch(f*x + e), x)","F",0
69,0,0,0,0.000000," ","integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{csch}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*csch(f*x + e)^3, x)","F",0
70,0,0,0,0.000000," ","integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{csch}\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*csch(f*x + e)^5, x)","F",0
71,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \sinh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sinh(f*x + e)^4, x)","F",0
72,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \sinh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sinh(f*x + e)^2, x)","F",0
73,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
74,0,0,0,0.000000," ","integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{csch}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*csch(f*x + e)^2, x)","F",0
75,0,0,0,0.000000," ","integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{csch}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*csch(f*x + e)^4, x)","F",0
76,0,0,0,0.000000," ","integrate(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sinh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sinh(f*x + e)^3, x)","F",0
77,0,0,0,0.000000," ","integrate(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sinh\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sinh(f*x + e), x)","F",0
78,0,0,0,0.000000," ","integrate(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e), x)","F",0
79,0,0,0,0.000000," ","integrate(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e)^3, x)","F",0
80,0,0,0,0.000000," ","integrate(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e)^5, x)","F",0
81,0,0,0,0.000000," ","integrate(csch(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)^{7}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e)^7, x)","F",0
82,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sinh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sinh(f*x + e)^4, x)","F",0
83,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sinh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sinh(f*x + e)^2, x)","F",0
84,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
85,0,0,0,0.000000," ","integrate(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e)^2, x)","F",0
86,0,0,0,0.000000," ","integrate(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{csch}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*csch(f*x + e)^4, x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*sinh(d*x+c)^2)^(5/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(d x + c\right)^{2} + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c)^2 + a)^(5/2), x)","F",0
88,1,11,0,0.412812," ","integrate((1+sinh(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/2*e^(-x) + 1/2*e^x","A",0
89,1,25,0,0.415463," ","integrate((-1-sinh(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{e^{\left(-2 \, x\right)}}{2 \, \sqrt{-e^{\left(-2 \, x\right)}}} + \frac{1}{2 \, \sqrt{-e^{\left(-2 \, x\right)}}}"," ",0,"-1/2*e^(-2*x)/sqrt(-e^(-2*x)) + 1/2/sqrt(-e^(-2*x))","B",0
90,0,0,0,0.000000," ","integrate((1-sinh(x)^2)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\int \sqrt{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(x)^2 + a), x)","F",0
93,1,23,0,0.416385," ","integrate((1+sinh(x)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{3}{8} \, e^{\left(-x\right)} - \frac{1}{24} \, e^{\left(-3 \, x\right)} + \frac{3}{8} \, e^{x}"," ",0,"1/24*e^(3*x) - 3/8*e^(-x) - 1/24*e^(-3*x) + 3/8*e^x","A",0
94,1,53,0,0.575402," ","integrate((-1-sinh(x)^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, e^{\left(-2 \, x\right)}}{8 \, \left(-e^{\left(-2 \, x\right)}\right)^{\frac{3}{2}}} - \frac{3 \, e^{\left(-4 \, x\right)}}{8 \, \left(-e^{\left(-2 \, x\right)}\right)^{\frac{3}{2}}} - \frac{e^{\left(-6 \, x\right)}}{24 \, \left(-e^{\left(-2 \, x\right)}\right)^{\frac{3}{2}}} + \frac{1}{24 \, \left(-e^{\left(-2 \, x\right)}\right)^{\frac{3}{2}}}"," ",0,"3/8*e^(-2*x)/(-e^(-2*x))^(3/2) - 3/8*e^(-4*x)/(-e^(-2*x))^(3/2) - 1/24*e^(-6*x)/(-e^(-2*x))^(3/2) + 1/24/(-e^(-2*x))^(3/2)","B",0
95,0,0,0,0.000000," ","integrate((1-sinh(x)^2)^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
98,0,0,0,0.000000," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
99,0,0,0,0.000000," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sinh(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
100,0,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csch(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
101,0,0,0,0.000000," ","integrate(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csch(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
102,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
103,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
104,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
105,0,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csch(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
106,0,0,0,0.000000," ","integrate(csch(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csch(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
107,0,0,0,0.000000," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
108,1,236,0,0.446913," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} e^{\left(-6 \, f x - 6 \, e\right)} + 2 \, a b - b^{2} + {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, {\left(2 \, a b - b^{2}\right)} e^{\left(-4 \, f x - 4 \, e\right)}}{2 \, {\left(a^{2} - a b\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{3}{2}} f} + \frac{b^{2} + 3 \, {\left(2 \, a b - b^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + {\left(2 \, a b - b^{2}\right)} e^{\left(-6 \, f x - 6 \, e\right)}}{2 \, {\left(a^{2} - a b\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{3}{2}} f}"," ",0,"1/2*(b^2*e^(-6*f*x - 6*e) + 2*a*b - b^2 + (8*a^2 - 8*a*b + 3*b^2)*e^(-2*f*x - 2*e) + 3*(2*a*b - b^2)*e^(-4*f*x - 4*e))/((a^2 - a*b)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(3/2)*f) + 1/2*(b^2 + 3*(2*a*b - b^2)*e^(-2*f*x - 2*e) + (8*a^2 - 8*a*b + 3*b^2)*e^(-4*f*x - 4*e) + (2*a*b - b^2)*e^(-6*f*x - 6*e))/((a^2 - a*b)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(3/2)*f)","B",0
109,0,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csch(f*x + e)/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
110,0,0,0,0.000000," ","integrate(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csch(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
111,0,0,0,0.000000," ","integrate(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{6}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^6/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-3/2), x)","F",0
115,0,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csch(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
116,0,0,0,0.000000," ","integrate(sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
117,1,927,0,0.504956," ","integrate(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{4} e^{\left(-10 \, f x - 10 \, e\right)} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - b^{4} - {\left(16 \, a^{4} - 32 \, a^{3} b + 6 \, a^{2} b^{2} + 10 \, a b^{3} - 5 \, b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(2 \, a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(3 \, a^{2} b^{2} - 3 \, a b^{3} + b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)}}{12 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} - \frac{2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{4 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} - \frac{2 \, a b^{3} - b^{4} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{4 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} - \frac{b^{4} + 5 \, {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(3 \, a^{2} b^{2} - 3 \, a b^{3} + b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(2 \, a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} - {\left(16 \, a^{4} - 32 \, a^{3} b + 6 \, a^{2} b^{2} + 10 \, a b^{3} - 5 \, b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} - {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{12 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f}"," ",0,"-1/12*(b^4*e^(-10*f*x - 10*e) - 4*a^3*b + 6*a^2*b^2 - b^4 - (16*a^4 - 32*a^3*b + 6*a^2*b^2 + 10*a*b^3 - 5*b^4)*e^(-2*f*x - 2*e) + 10*(2*a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 10*(3*a^2*b^2 - 3*a*b^3 + b^4)*e^(-6*f*x - 6*e) + 5*(2*a*b^3 - b^4)*e^(-8*f*x - 8*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) - 1/4*(2*a^2*b^2 - 2*a*b^3 + b^4 + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-4*f*x - 4*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-6*f*x - 6*e) + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-8*f*x - 8*e) + (2*a*b^3 - b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) - 1/4*(2*a*b^3 - b^4 + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-2*f*x - 2*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-6*f*x - 6*e) + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-8*f*x - 8*e) + (2*a^2*b^2 - 2*a*b^3 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) - 1/12*(b^4 + 5*(2*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 10*(3*a^2*b^2 - 3*a*b^3 + b^4)*e^(-4*f*x - 4*e) + 10*(2*a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*e^(-6*f*x - 6*e) - (16*a^4 - 32*a^3*b + 6*a^2*b^2 + 10*a*b^3 - 5*b^4)*e^(-8*f*x - 8*e) - (4*a^3*b - 6*a^2*b^2 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f)","B",0
118,1,485,0,0.449651," ","integrate(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{3 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} + \frac{2 \, a b^{3} - b^{4} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{3 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f}"," ",0,"1/3*(2*a^2*b^2 - 2*a*b^3 + b^4 + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-4*f*x - 4*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-6*f*x - 6*e) + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-8*f*x - 8*e) + (2*a*b^3 - b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) + 1/3*(2*a*b^3 - b^4 + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-2*f*x - 2*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-6*f*x - 6*e) + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-8*f*x - 8*e) + (2*a^2*b^2 - 2*a*b^3 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f)","B",0
119,0,0,0,0.000000," ","integrate(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csch(f*x + e)/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
120,0,0,0,0.000000," ","integrate(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{6}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^6/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
121,0,0,0,0.000000," ","integrate(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
122,0,0,0,0.000000," ","integrate(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
123,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-5/2), x)","F",0
124,0,0,0,0.000000," ","integrate(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csch(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
125,1,5,0,0.485668," ","integrate(1/(1+sinh(x)^2)^(1/2),x, algorithm=""maxima"")","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=""maxima"")","\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=""maxima"")","\int \frac{1}{\sqrt{\sinh\left(x\right)^{2} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(sinh(x)^2 - 1), x)","F",0
128,1,5,0,0.590564," ","integrate(1/(-1-sinh(x)^2)^(1/2),x, algorithm=""maxima"")","-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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
141,1,164,0,0.316509," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","\frac{1}{64} \, a {\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)} - \frac{1}{4480} \, b {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)}"," ",0,"1/64*a*(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) - 1/4480*b*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d)","A",0
142,1,143,0,0.312687," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{384} \, b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{1}{24} \, a {\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,"-1/384*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 1/24*a*(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
143,1,120,0,0.314906," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{8} \, a {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + \frac{1}{480} \, b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)}"," ",0,"-1/8*a*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 1/480*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d)","A",0
144,1,74,0,0.302289," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","\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)} + \frac{a \cosh\left(d x + c\right)}{d}"," ",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*cosh(d*x + c)/d","A",0
145,1,59,0,0.309526," ","integrate(a+b*sinh(d*x+c)^3,x, algorithm=""maxima"")","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
146,1,50,0,0.318139," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\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)} + \frac{a \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"-1/8*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a*log(tanh(1/2*d*x + 1/2*c))/d","A",0
147,1,47,0,0.317837," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{2 \, a}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"1/2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 2*a/(d*(e^(-2*d*x - 2*c) - 1))","A",0
148,1,91,0,0.317005," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","b x + \frac{1}{2} \, a {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"b*x + 1/2*a*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
149,1,131,0,0.324730," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)} + \frac{4}{3} \, a {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"-b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d) + 4/3*a*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
150,1,272,0,0.323703," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{1}{161280} \, b^{2} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} - \frac{1}{192} \, a b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{2} {\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,"-1/161280*b^2*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) - 1/192*a*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 1/24*a^2*(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
151,1,237,0,0.373276," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, a^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{6144} \, b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{1}{240} \, a b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)}"," ",0,"-1/8*a^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/6144*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) + 1/240*a*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d)","A",0
152,1,180,0,0.325691," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{32} \, a 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)} - \frac{1}{4480} \, b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{a^{2} \cosh\left(d x + c\right)}{d}"," ",0,"1/32*a*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) - 1/4480*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + a^2*cosh(d*x + c)/d","A",0
153,1,151,0,0.305824," ","integrate((a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","a^{2} x - \frac{1}{384} \, b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{1}{12} \, a 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^2*x - 1/384*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 1/12*a*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
154,1,140,0,0.313245," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, a 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)} + \frac{1}{480} \, b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{a^{2} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"-1/4*a*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 1/480*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a^2*log(tanh(1/2*d*x + 1/2*c))/d","A",0
155,1,113,0,0.326411," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{64} \, b^{2} {\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 b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{2 \, a^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"1/64*b^2*(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*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 2*a^2/(d*(e^(-2*d*x - 2*c) - 1))","A",0
156,1,152,0,0.329177," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","2 \, a b x + \frac{1}{24} \, b^{2} {\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)} + \frac{1}{2} \, a^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"2*a*b*x + 1/24*b^2*(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) + 1/2*a^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
157,1,170,0,0.326621," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - 2 \, a b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)} + \frac{4}{3} \, a^{2} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"-1/8*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 2*a*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d) + 4/3*a^2*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
158,1,188,0,0.326288," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} - \frac{1}{8} \, a^{2} {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} + \frac{4 \, a b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"1/2*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) - 1/8*a^2*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) + 4*a*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
159,1,303,0,0.325057," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","b^{2} x + a b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} - \frac{16}{15} \, a^{2} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)}"," ",0,"b^2*x + a*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) - 16/15*a^2*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)))","B",0
160,1,316,0,0.328708," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{48} \, a^{2} {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} - b^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)} + \frac{8}{3} \, a b {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"1/48*a^2*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) - b^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d) + 8/3*a*b*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
161,1,387,0,0.325509," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, a^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{1419264} \, b^{3} {\left(\frac{{\left(847 \, e^{\left(-2 \, d x - 2 \, c\right)} - 5445 \, e^{\left(-4 \, d x - 4 \, c\right)} + 22869 \, e^{\left(-6 \, d x - 6 \, c\right)} - 76230 \, e^{\left(-8 \, d x - 8 \, c\right)} + 320166 \, e^{\left(-10 \, d x - 10 \, c\right)} - 63\right)} e^{\left(11 \, d x + 11 \, c\right)}}{d} + \frac{320166 \, e^{\left(-d x - c\right)} - 76230 \, e^{\left(-3 \, d x - 3 \, c\right)} + 22869 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5445 \, e^{\left(-7 \, d x - 7 \, c\right)} + 847 \, e^{\left(-9 \, d x - 9 \, c\right)} - 63 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d}\right)} - \frac{1}{2048} \, a b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{1}{160} \, a^{2} b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)}"," ",0,"-1/8*a^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/1419264*b^3*((847*e^(-2*d*x - 2*c) - 5445*e^(-4*d*x - 4*c) + 22869*e^(-6*d*x - 6*c) - 76230*e^(-8*d*x - 8*c) + 320166*e^(-10*d*x - 10*c) - 63)*e^(11*d*x + 11*c)/d + (320166*e^(-d*x - c) - 76230*e^(-3*d*x - 3*c) + 22869*e^(-5*d*x - 5*c) - 5445*e^(-7*d*x - 7*c) + 847*e^(-9*d*x - 9*c) - 63*e^(-11*d*x - 11*c))/d) - 1/2048*a*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) + 1/160*a^2*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d)","A",0
162,1,318,0,0.329432," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a^{2} 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)} - \frac{1}{20480} \, b^{3} {\left(\frac{{\left(25 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 \, e^{\left(-4 \, d x - 4 \, c\right)} + 600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2100 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{5040 \, {\left(d x + c\right)}}{d} + \frac{2100 \, e^{\left(-2 \, d x - 2 \, c\right)} - 600 \, e^{\left(-4 \, d x - 4 \, c\right)} + 150 \, e^{\left(-6 \, d x - 6 \, c\right)} - 25 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{3}{4480} \, a b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{a^{3} \cosh\left(d x + c\right)}{d}"," ",0,"3/64*a^2*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) - 1/20480*b^3*((25*e^(-2*d*x - 2*c) - 150*e^(-4*d*x - 4*c) + 600*e^(-6*d*x - 6*c) - 2100*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 5040*(d*x + c)/d + (2100*e^(-2*d*x - 2*c) - 600*e^(-4*d*x - 4*c) + 150*e^(-6*d*x - 6*c) - 25*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 3/4480*a*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + a^3*cosh(d*x + c)/d","A",0
163,1,280,0,0.326883," ","integrate((a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","a^{3} x - \frac{1}{161280} \, b^{3} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} - \frac{1}{128} \, a b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{1}{8} \, a^{2} 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^3*x - 1/161280*b^3*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) - 1/128*a*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 1/8*a^2*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
164,1,257,0,0.328542," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a^{2} 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)} - \frac{1}{6144} \, b^{3} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{1}{160} \, a b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{a^{3} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"-3/8*a^2*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/6144*b^3*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) + 1/160*a*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a^3*log(tanh(1/2*d*x + 1/2*c))/d","A",0
165,1,220,0,0.324435," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a b^{2} {\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)} - \frac{1}{4480} \, b^{3} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{3}{2} \, a^{2} b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{2 \, a^{3}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"3/64*a*b^2*(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) - 1/4480*b^3*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 3/2*a^2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 2*a^3/(d*(e^(-2*d*x - 2*c) - 1))","A",0
166,1,244,0,0.328068," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","3 \, a^{2} b x - \frac{1}{384} \, b^{3} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{1}{8} \, a b^{2} {\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)} + \frac{1}{2} \, a^{3} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"3*a^2*b*x - 1/384*b^3*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 1/8*a*b^2*(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) + 1/2*a^3*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","A",0
167,1,260,0,0.331862," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + \frac{1}{480} \, b^{3} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} - 3 \, a^{2} b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)} + \frac{4}{3} \, a^{3} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"-3/8*a*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 1/480*b^3*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) - 3*a^2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d) + 4/3*a^3*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
168,1,255,0,0.337133," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{1}{64} \, b^{3} {\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)} + \frac{3}{2} \, a b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} - \frac{1}{8} \, a^{3} {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} + \frac{6 \, a^{2} b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"1/64*b^3*(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) + 3/2*a*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) - 1/8*a^3*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) + 6*a^2*b/(d*(e^(-2*d*x - 2*c) - 1))","A",0
169,1,365,0,0.722547," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","3 \, a b^{2} x + \frac{1}{24} \, b^{3} {\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)} + \frac{3}{2} \, a^{2} b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} - \frac{16}{15} \, a^{3} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)}"," ",0,"3*a*b^2*x + 1/24*b^3*(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) + 3/2*a^2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) - 16/15*a^3*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)))","B",0
170,1,355,0,0.431771," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + \frac{1}{48} \, a^{3} {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} - 3 \, a b^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)} + 4 \, a^{2} b {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"-1/8*b^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 1/48*a^3*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) - 3*a*b^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d) + 4*a^2*b*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
171,0,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","8 \, a^{2} \int \frac{e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} - b^{3}}\,{d x} - \frac{{\left(24 \, a d x e^{\left(3 \, d x + 3 \, c\right)} - b e^{\left(6 \, d x + 6 \, c\right)} + 9 \, b e^{\left(4 \, d x + 4 \, c\right)} + 9 \, b e^{\left(2 \, d x + 2 \, c\right)} - b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, b^{2} d}"," ",0,"8*a^2*integrate(e^(3*d*x + 3*c)/(b^3*e^(6*d*x + 6*c) - 3*b^3*e^(4*d*x + 4*c) + 8*a*b^2*e^(3*d*x + 3*c) + 3*b^3*e^(2*d*x + 2*c) - b^3), x) - 1/24*(24*a*d*x*e^(3*d*x + 3*c) - b*e^(6*d*x + 6*c) + 9*b*e^(4*d*x + 4*c) + 9*b*e^(2*d*x + 2*c) - b)*e^(-3*d*x - 3*c)/(b^2*d)","F",0
172,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\frac{{\left(4 \, d x e^{\left(2 \, d x + 2 \, c\right)} - e^{\left(4 \, d x + 4 \, c\right)} + 1\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b d} - \frac{1}{32} \, \int \frac{64 \, {\left(a e^{\left(5 \, d x + 5 \, c\right)} - 2 \, a e^{\left(3 \, d x + 3 \, c\right)} + a e^{\left(d x + c\right)}\right)}}{b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a b e^{\left(3 \, d x + 3 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}}\,{d x}"," ",0,"-1/8*(4*d*x*e^(2*d*x + 2*c) - e^(4*d*x + 4*c) + 1)*e^(-2*d*x - 2*c)/(b*d) - 1/32*integrate(64*(a*e^(5*d*x + 5*c) - 2*a*e^(3*d*x + 3*c) + a*e^(d*x + c))/(b^2*e^(6*d*x + 6*c) - 3*b^2*e^(4*d*x + 4*c) + 8*a*b*e^(3*d*x + 3*c) + 3*b^2*e^(2*d*x + 2*c) - b^2), x)","F",0
173,0,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","\frac{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)} e^{\left(-d x - c\right)}}{2 \, b d} - \frac{1}{16} \, \int \frac{64 \, {\left(a e^{\left(4 \, d x + 4 \, c\right)} - a e^{\left(2 \, d x + 2 \, c\right)}\right)}}{b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a b e^{\left(3 \, d x + 3 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}}\,{d x}"," ",0,"1/2*(e^(2*d*x + 2*c) + 1)*e^(-d*x - c)/(b*d) - 1/16*integrate(64*(a*e^(4*d*x + 4*c) - a*e^(2*d*x + 2*c))/(b^2*e^(6*d*x + 6*c) - 3*b^2*e^(4*d*x + 4*c) + 8*a*b*e^(3*d*x + 3*c) + 3*b^2*e^(2*d*x + 2*c) - b^2), x)","F",0
174,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-8 \, a \int \frac{e^{\left(3 \, d x + 3 \, c\right)}}{b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 3 \, b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a b e^{\left(3 \, d x + 3 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{2}}\,{d x} + \frac{x}{b}"," ",0,"-8*a*integrate(e^(3*d*x + 3*c)/(b^2*e^(6*d*x + 6*c) - 3*b^2*e^(4*d*x + 4*c) + 8*a*b*e^(3*d*x + 3*c) + 3*b^2*e^(2*d*x + 2*c) - b^2), x) + x/b","F",0
175,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","-\frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a d} - 2 \, \int \frac{b e^{\left(5 \, d x + 5 \, c\right)} - 2 \, b e^{\left(3 \, d x + 3 \, c\right)} + b e^{\left(d x + c\right)}}{a b e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, a b e^{\left(2 \, d x + 2 \, c\right)} - a b}\,{d x}"," ",0,"-log((e^(d*x + c) + 1)*e^(-c))/(a*d) + log((e^(d*x + c) - 1)*e^(-c))/(a*d) - 2*integrate((b*e^(5*d*x + 5*c) - 2*b*e^(3*d*x + 3*c) + b*e^(d*x + c))/(a*b*e^(6*d*x + 6*c) - 3*a*b*e^(4*d*x + 4*c) + 8*a^2*e^(3*d*x + 3*c) + 3*a*b*e^(2*d*x + 2*c) - a*b), x)","F",0
179,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\frac{2}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - 4 \, \int \frac{b e^{\left(4 \, d x + 4 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)}}{a b e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, a b e^{\left(2 \, d x + 2 \, c\right)} - a b}\,{d x}"," ",0,"-2/(a*d*e^(2*d*x + 2*c) - a*d) - 4*integrate((b*e^(4*d*x + 4*c) - b*e^(2*d*x + 2*c))/(a*b*e^(6*d*x + 6*c) - 3*a*b*e^(4*d*x + 4*c) + 8*a^2*e^(3*d*x + 3*c) + 3*a*b*e^(2*d*x + 2*c) - a*b), x)","F",0
180,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-8 \, b \int \frac{e^{\left(3 \, d x + 3 \, c\right)}}{a b e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a b e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, a b e^{\left(2 \, d x + 2 \, c\right)} - a b}\,{d x} - \frac{e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}}{a d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a d e^{\left(2 \, d x + 2 \, c\right)} + a d} + \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{2 \, a d} - \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{2 \, a d}"," ",0,"-8*b*integrate(e^(3*d*x + 3*c)/(a*b*e^(6*d*x + 6*c) - 3*a*b*e^(4*d*x + 4*c) + 8*a^2*e^(3*d*x + 3*c) + 3*a*b*e^(2*d*x + 2*c) - a*b), x) - (e^(3*d*x + 3*c) + e^(d*x + c))/(a*d*e^(4*d*x + 4*c) - 2*a*d*e^(2*d*x + 2*c) + a*d) + 1/2*log((e^(d*x + c) + 1)*e^(-c))/(a*d) - 1/2*log((e^(d*x + c) - 1)*e^(-c))/(a*d)","F",0
181,0,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a+b*sinh(d*x+c)^3),x, algorithm=""maxima"")","-\frac{4 \, {\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{3 \, {\left(a d e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a d e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)}} + \frac{b \log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} - \frac{b \log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} + 16 \, \int \frac{b^{2} e^{\left(5 \, d x + 5 \, c\right)} - 2 \, b^{2} e^{\left(3 \, d x + 3 \, c\right)} + b^{2} e^{\left(d x + c\right)}}{8 \, {\left(a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + 8 \, a^{3} e^{\left(3 \, d x + 3 \, c\right)} + 3 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - a^{2} b\right)}}\,{d x}"," ",0,"-4/3*(3*e^(2*d*x + 2*c) - 1)/(a*d*e^(6*d*x + 6*c) - 3*a*d*e^(4*d*x + 4*c) + 3*a*d*e^(2*d*x + 2*c) - a*d) + b*log((e^(d*x + c) + 1)*e^(-c))/(a^2*d) - b*log((e^(d*x + c) - 1)*e^(-c))/(a^2*d) + 16*integrate(1/8*(b^2*e^(5*d*x + 5*c) - 2*b^2*e^(3*d*x + 3*c) + b^2*e^(d*x + c))/(a^2*b*e^(6*d*x + 6*c) - 3*a^2*b*e^(4*d*x + 4*c) + 8*a^3*e^(3*d*x + 3*c) + 3*a^2*b*e^(2*d*x + 2*c) - a^2*b), x)","F",0
182,0,0,0,0.000000," ","integrate(1/(1+sinh(x)^3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} - 1}{\sqrt{2} + e^{x} + 1}\right) - \int \frac{2 \, {\left(e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} - e^{x}\right)}}{3 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"1/6*sqrt(2)*log(-(sqrt(2) - e^x - 1)/(sqrt(2) + e^x + 1)) - integrate(2/3*(e^(3*x) - 4*e^(2*x) - e^x)/(e^(4*x) - 2*e^(3*x) + 2*e^(2*x) + 2*e^x + 1), x)","F",0
183,0,0,0,0.000000," ","integrate(1/(1-sinh(x)^3),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} + 1}{\sqrt{2} + e^{x} - 1}\right) + \int \frac{2 \, {\left(e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} - e^{x}\right)}}{3 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"-1/6*sqrt(2)*log(-(sqrt(2) - e^x + 1)/(sqrt(2) + e^x - 1)) + integrate(2/3*(e^(3*x) + 4*e^(2*x) - e^x)/(e^(4*x) + 2*e^(3*x) + 2*e^(2*x) - 2*e^x + 1), x)","F",0
184,1,175,0,0.319287," ","integrate(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\frac{1}{64} \, a {\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)} - \frac{1}{6144} \, b {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)}"," ",0,"1/64*a*(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) - 1/6144*b*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d)","A",0
185,1,157,0,0.312966," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{1}{4480} \, b {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{24} \, a {\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,"-1/4480*b*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/24*a*(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)","B",0
186,1,122,0,0.315644," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{1}{8} \, a {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{384} \, b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"-1/8*a*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/384*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
187,1,97,0,0.314307," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\frac{1}{480} \, b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{a \cosh\left(d x + c\right)}{d}"," ",0,"1/480*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a*cosh(d*x + c)/d","B",0
188,1,66,0,0.315958," ","integrate(a+b*sinh(d*x+c)^4,x, algorithm=""maxima"")","\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
189,1,71,0,0.306338," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\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)} + \frac{a \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"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*log(tanh(1/2*d*x + 1/2*c))/d","A",0
190,1,54,0,0.318051," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\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)} + \frac{2 \, a}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/8*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + 2*a/(d*(e^(-2*d*x - 2*c) - 1))","A",0
191,1,115,0,0.311175," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
192,1,97,0,0.319058," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","b x + \frac{4}{3} \, a {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"b*x + 4/3*a*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
193,1,174,0,0.335541," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{1}{8} \, a {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} - b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"-1/8*a*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) - b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
194,1,228,0,0.327815," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{16}{15} \, a {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)} + \frac{2 \, b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-16/15*a*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))) + 2*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
195,1,268,0,0.324027," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\frac{1}{48} \, a {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} + \frac{1}{2} \, b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/48*a*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) + 1/2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
196,1,307,0,0.329842," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{1419264} \, b^{2} {\left(\frac{{\left(847 \, e^{\left(-2 \, d x - 2 \, c\right)} - 5445 \, e^{\left(-4 \, d x - 4 \, c\right)} + 22869 \, e^{\left(-6 \, d x - 6 \, c\right)} - 76230 \, e^{\left(-8 \, d x - 8 \, c\right)} + 320166 \, e^{\left(-10 \, d x - 10 \, c\right)} - 63\right)} e^{\left(11 \, d x + 11 \, c\right)}}{d} + \frac{320166 \, e^{\left(-d x - c\right)} - 76230 \, e^{\left(-3 \, d x - 3 \, c\right)} + 22869 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5445 \, e^{\left(-7 \, d x - 7 \, c\right)} + 847 \, e^{\left(-9 \, d x - 9 \, c\right)} - 63 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d}\right)} - \frac{1}{2240} \, a b {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{2} {\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,"-1/1419264*b^2*((847*e^(-2*d*x - 2*c) - 5445*e^(-4*d*x - 4*c) + 22869*e^(-6*d*x - 6*c) - 76230*e^(-8*d*x - 8*c) + 320166*e^(-10*d*x - 10*c) - 63)*e^(11*d*x + 11*c)/d + (320166*e^(-d*x - c) - 76230*e^(-3*d*x - 3*c) + 22869*e^(-5*d*x - 5*c) - 5445*e^(-7*d*x - 7*c) + 847*e^(-9*d*x - 9*c) - 63*e^(-11*d*x - 11*c))/d) - 1/2240*a*b*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/24*a^2*(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)","B",0
197,1,260,0,0.347573," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, a^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{20480} \, b^{2} {\left(\frac{{\left(25 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 \, e^{\left(-4 \, d x - 4 \, c\right)} + 600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2100 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{5040 \, {\left(d x + c\right)}}{d} + \frac{2100 \, e^{\left(-2 \, d x - 2 \, c\right)} - 600 \, e^{\left(-4 \, d x - 4 \, c\right)} + 150 \, e^{\left(-6 \, d x - 6 \, c\right)} - 25 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{1}{192} \, a b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"-1/8*a^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/20480*b^2*((25*e^(-2*d*x - 2*c) - 150*e^(-4*d*x - 4*c) + 600*e^(-6*d*x - 6*c) - 2100*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 5040*(d*x + c)/d + (2100*e^(-2*d*x - 2*c) - 600*e^(-4*d*x - 4*c) + 150*e^(-6*d*x - 6*c) - 25*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 1/192*a*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
198,1,226,0,0.334381," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{161280} \, b^{2} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} + \frac{1}{240} \, a b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{a^{2} \cosh\left(d x + c\right)}{d}"," ",0,"-1/161280*b^2*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) + 1/240*a*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a^2*cosh(d*x + c)/d","B",0
199,1,183,0,0.331456," ","integrate((a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{1}{32} \, a 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^{2} x - \frac{1}{6144} \, b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)}"," ",0,"1/32*a*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^2*x - 1/6144*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d)","A",0
200,1,177,0,0.344767," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{4480} \, b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{12} \, a 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)} + \frac{a^{2} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"-1/4480*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/12*a*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^2*log(tanh(1/2*d*x + 1/2*c))/d","B",0
201,1,146,0,0.356950," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, a 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)} - \frac{1}{384} \, b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{2 \, a^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/4*a*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/384*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 2*a^2/(d*(e^(-2*d*x - 2*c) - 1))","A",0
202,1,204,0,0.338834," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{1}{480} \, b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + a b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/480*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
203,1,165,0,0.342837," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{1}{64} \, b^{2} {\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)} + 2 \, a b x + \frac{4}{3} \, a^{2} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"1/64*b^2*(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) + 2*a*b*x + 4/3*a^2*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","A",0
204,1,234,0,0.354122," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{1}{24} \, b^{2} {\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)} - \frac{1}{8} \, a^{2} {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} - 2 \, a b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"1/24*b^2*(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) - 1/8*a^2*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) - 2*a*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
205,1,267,0,0.338506," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{16}{15} \, a^{2} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)} + \frac{4 \, a b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/8*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 16/15*a^2*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))) + 4*a*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
206,1,299,0,0.347539," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{48} \, a^{2} {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} + a b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/2*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/48*a^2*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) + a*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
207,1,600,0,0.340649," ","integrate(sinh(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{14338621440} \, b^{3} {\left(\frac{{\left(123981 \, e^{\left(-2 \, d x - 2 \, c\right)} - 1144440 \, e^{\left(-4 \, d x - 4 \, c\right)} + 6762600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 28928900 \, e^{\left(-8 \, d x - 8 \, c\right)} + 96705180 \, e^{\left(-10 \, d x - 10 \, c\right)} - 270774504 \, e^{\left(-12 \, d x - 12 \, c\right)} + 709171320 \, e^{\left(-14 \, d x - 14 \, c\right)} - 2659392450 \, e^{\left(-16 \, d x - 16 \, c\right)} - 6435\right)} e^{\left(17 \, d x + 17 \, c\right)}}{d} - \frac{2659392450 \, e^{\left(-d x - c\right)} - 709171320 \, e^{\left(-3 \, d x - 3 \, c\right)} + 270774504 \, e^{\left(-5 \, d x - 5 \, c\right)} - 96705180 \, e^{\left(-7 \, d x - 7 \, c\right)} + 28928900 \, e^{\left(-9 \, d x - 9 \, c\right)} - 6762600 \, e^{\left(-11 \, d x - 11 \, c\right)} + 1144440 \, e^{\left(-13 \, d x - 13 \, c\right)} - 123981 \, e^{\left(-15 \, d x - 15 \, c\right)} + 6435 \, e^{\left(-17 \, d x - 17 \, c\right)}}{d}\right)} - \frac{1}{8200192} \, a b^{2} {\left(\frac{{\left(3549 \, e^{\left(-2 \, d x - 2 \, c\right)} - 26026 \, e^{\left(-4 \, d x - 4 \, c\right)} + 122694 \, e^{\left(-6 \, d x - 6 \, c\right)} - 429429 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1288287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5153148 \, e^{\left(-12 \, d x - 12 \, c\right)} - 231\right)} e^{\left(13 \, d x + 13 \, c\right)}}{d} - \frac{5153148 \, e^{\left(-d x - c\right)} - 1288287 \, e^{\left(-3 \, d x - 3 \, c\right)} + 429429 \, e^{\left(-5 \, d x - 5 \, c\right)} - 122694 \, e^{\left(-7 \, d x - 7 \, c\right)} + 26026 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3549 \, e^{\left(-11 \, d x - 11 \, c\right)} + 231 \, e^{\left(-13 \, d x - 13 \, c\right)}}{d}\right)} - \frac{1}{53760} \, a^{2} b {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} + \frac{1}{480} \, a^{3} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)}"," ",0,"-1/14338621440*b^3*((123981*e^(-2*d*x - 2*c) - 1144440*e^(-4*d*x - 4*c) + 6762600*e^(-6*d*x - 6*c) - 28928900*e^(-8*d*x - 8*c) + 96705180*e^(-10*d*x - 10*c) - 270774504*e^(-12*d*x - 12*c) + 709171320*e^(-14*d*x - 14*c) - 2659392450*e^(-16*d*x - 16*c) - 6435)*e^(17*d*x + 17*c)/d - (2659392450*e^(-d*x - c) - 709171320*e^(-3*d*x - 3*c) + 270774504*e^(-5*d*x - 5*c) - 96705180*e^(-7*d*x - 7*c) + 28928900*e^(-9*d*x - 9*c) - 6762600*e^(-11*d*x - 11*c) + 1144440*e^(-13*d*x - 13*c) - 123981*e^(-15*d*x - 15*c) + 6435*e^(-17*d*x - 17*c))/d) - 1/8200192*a*b^2*((3549*e^(-2*d*x - 2*c) - 26026*e^(-4*d*x - 4*c) + 122694*e^(-6*d*x - 6*c) - 429429*e^(-8*d*x - 8*c) + 1288287*e^(-10*d*x - 10*c) - 5153148*e^(-12*d*x - 12*c) - 231)*e^(13*d*x + 13*c)/d - (5153148*e^(-d*x - c) - 1288287*e^(-3*d*x - 3*c) + 429429*e^(-5*d*x - 5*c) - 122694*e^(-7*d*x - 7*c) + 26026*e^(-9*d*x - 9*c) - 3549*e^(-11*d*x - 11*c) + 231*e^(-13*d*x - 13*c))/d) - 1/53760*a^2*b*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) + 1/480*a^3*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d)","B",0
208,1,501,0,0.335801," ","integrate(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{210862080} \, b^{3} {\left(\frac{{\left(7425 \, e^{\left(-2 \, d x - 2 \, c\right)} - 61425 \, e^{\left(-4 \, d x - 4 \, c\right)} + 325325 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1254825 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3864861 \, e^{\left(-10 \, d x - 10 \, c\right)} - 10735725 \, e^{\left(-12 \, d x - 12 \, c\right)} + 41409225 \, e^{\left(-14 \, d x - 14 \, c\right)} - 429\right)} e^{\left(15 \, d x + 15 \, c\right)}}{d} + \frac{41409225 \, e^{\left(-d x - c\right)} - 10735725 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3864861 \, e^{\left(-5 \, d x - 5 \, c\right)} - 1254825 \, e^{\left(-7 \, d x - 7 \, c\right)} + 325325 \, e^{\left(-9 \, d x - 9 \, c\right)} - 61425 \, e^{\left(-11 \, d x - 11 \, c\right)} + 7425 \, e^{\left(-13 \, d x - 13 \, c\right)} - 429 \, e^{\left(-15 \, d x - 15 \, c\right)}}{d}\right)} - \frac{1}{473088} \, a b^{2} {\left(\frac{{\left(847 \, e^{\left(-2 \, d x - 2 \, c\right)} - 5445 \, e^{\left(-4 \, d x - 4 \, c\right)} + 22869 \, e^{\left(-6 \, d x - 6 \, c\right)} - 76230 \, e^{\left(-8 \, d x - 8 \, c\right)} + 320166 \, e^{\left(-10 \, d x - 10 \, c\right)} - 63\right)} e^{\left(11 \, d x + 11 \, c\right)}}{d} + \frac{320166 \, e^{\left(-d x - c\right)} - 76230 \, e^{\left(-3 \, d x - 3 \, c\right)} + 22869 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5445 \, e^{\left(-7 \, d x - 7 \, c\right)} + 847 \, e^{\left(-9 \, d x - 9 \, c\right)} - 63 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d}\right)} - \frac{3}{4480} \, a^{2} b {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{3} {\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,"-1/210862080*b^3*((7425*e^(-2*d*x - 2*c) - 61425*e^(-4*d*x - 4*c) + 325325*e^(-6*d*x - 6*c) - 1254825*e^(-8*d*x - 8*c) + 3864861*e^(-10*d*x - 10*c) - 10735725*e^(-12*d*x - 12*c) + 41409225*e^(-14*d*x - 14*c) - 429)*e^(15*d*x + 15*c)/d + (41409225*e^(-d*x - c) - 10735725*e^(-3*d*x - 3*c) + 3864861*e^(-5*d*x - 5*c) - 1254825*e^(-7*d*x - 7*c) + 325325*e^(-9*d*x - 9*c) - 61425*e^(-11*d*x - 11*c) + 7425*e^(-13*d*x - 13*c) - 429*e^(-15*d*x - 15*c))/d) - 1/473088*a*b^2*((847*e^(-2*d*x - 2*c) - 5445*e^(-4*d*x - 4*c) + 22869*e^(-6*d*x - 6*c) - 76230*e^(-8*d*x - 8*c) + 320166*e^(-10*d*x - 10*c) - 63)*e^(11*d*x + 11*c)/d + (320166*e^(-d*x - c) - 76230*e^(-3*d*x - 3*c) + 22869*e^(-5*d*x - 5*c) - 5445*e^(-7*d*x - 7*c) + 847*e^(-9*d*x - 9*c) - 63*e^(-11*d*x - 11*c))/d) - 3/4480*a^2*b*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/24*a^3*(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)","B",0
209,1,399,0,0.337198," ","integrate(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{24600576} \, b^{3} {\left(\frac{{\left(3549 \, e^{\left(-2 \, d x - 2 \, c\right)} - 26026 \, e^{\left(-4 \, d x - 4 \, c\right)} + 122694 \, e^{\left(-6 \, d x - 6 \, c\right)} - 429429 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1288287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5153148 \, e^{\left(-12 \, d x - 12 \, c\right)} - 231\right)} e^{\left(13 \, d x + 13 \, c\right)}}{d} - \frac{5153148 \, e^{\left(-d x - c\right)} - 1288287 \, e^{\left(-3 \, d x - 3 \, c\right)} + 429429 \, e^{\left(-5 \, d x - 5 \, c\right)} - 122694 \, e^{\left(-7 \, d x - 7 \, c\right)} + 26026 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3549 \, e^{\left(-11 \, d x - 11 \, c\right)} + 231 \, e^{\left(-13 \, d x - 13 \, c\right)}}{d}\right)} - \frac{1}{53760} \, a b^{2} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} + \frac{1}{160} \, a^{2} b {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{a^{3} \cosh\left(d x + c\right)}{d}"," ",0,"-1/24600576*b^3*((3549*e^(-2*d*x - 2*c) - 26026*e^(-4*d*x - 4*c) + 122694*e^(-6*d*x - 6*c) - 429429*e^(-8*d*x - 8*c) + 1288287*e^(-10*d*x - 10*c) - 5153148*e^(-12*d*x - 12*c) - 231)*e^(13*d*x + 13*c)/d - (5153148*e^(-d*x - c) - 1288287*e^(-3*d*x - 3*c) + 429429*e^(-5*d*x - 5*c) - 122694*e^(-7*d*x - 7*c) + 26026*e^(-9*d*x - 9*c) - 3549*e^(-11*d*x - 11*c) + 231*e^(-13*d*x - 13*c))/d) - 1/53760*a*b^2*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) + 1/160*a^2*b*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + a^3*cosh(d*x + c)/d","B",0
210,1,327,0,0.339426," ","integrate(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{1419264} \, b^{3} {\left(\frac{{\left(847 \, e^{\left(-2 \, d x - 2 \, c\right)} - 5445 \, e^{\left(-4 \, d x - 4 \, c\right)} + 22869 \, e^{\left(-6 \, d x - 6 \, c\right)} - 76230 \, e^{\left(-8 \, d x - 8 \, c\right)} + 320166 \, e^{\left(-10 \, d x - 10 \, c\right)} - 63\right)} e^{\left(11 \, d x + 11 \, c\right)}}{d} + \frac{320166 \, e^{\left(-d x - c\right)} - 76230 \, e^{\left(-3 \, d x - 3 \, c\right)} + 22869 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5445 \, e^{\left(-7 \, d x - 7 \, c\right)} + 847 \, e^{\left(-9 \, d x - 9 \, c\right)} - 63 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d}\right)} - \frac{3}{4480} \, a b^{2} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{8} \, a^{2} 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)} + \frac{a^{3} \log\left(\tanh\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"-1/1419264*b^3*((847*e^(-2*d*x - 2*c) - 5445*e^(-4*d*x - 4*c) + 22869*e^(-6*d*x - 6*c) - 76230*e^(-8*d*x - 8*c) + 320166*e^(-10*d*x - 10*c) - 63)*e^(11*d*x + 11*c)/d + (320166*e^(-d*x - c) - 76230*e^(-3*d*x - 3*c) + 22869*e^(-5*d*x - 5*c) - 5445*e^(-7*d*x - 7*c) + 847*e^(-9*d*x - 9*c) - 63*e^(-11*d*x - 11*c))/d) - 3/4480*a*b^2*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/8*a^2*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^3*log(tanh(1/2*d*x + 1/2*c))/d","B",0
211,1,334,0,0.329158," ","integrate(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{161280} \, b^{3} {\left(\frac{{\left(405 \, e^{\left(-2 \, d x - 2 \, c\right)} - 2268 \, e^{\left(-4 \, d x - 4 \, c\right)} + 8820 \, e^{\left(-6 \, d x - 6 \, c\right)} - 39690 \, e^{\left(-8 \, d x - 8 \, c\right)} - 35\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{39690 \, e^{\left(-d x - c\right)} - 8820 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2268 \, e^{\left(-5 \, d x - 5 \, c\right)} - 405 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} + \frac{1}{160} \, a b^{2} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{3}{2} \, a^{2} b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a^{3} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"-1/161280*b^3*((405*e^(-2*d*x - 2*c) - 2268*e^(-4*d*x - 4*c) + 8820*e^(-6*d*x - 6*c) - 39690*e^(-8*d*x - 8*c) - 35)*e^(9*d*x + 9*c)/d - (39690*e^(-d*x - c) - 8820*e^(-3*d*x - 3*c) + 2268*e^(-5*d*x - 5*c) - 405*e^(-7*d*x - 7*c) + 35*e^(-9*d*x - 9*c))/d) + 1/160*a*b^2*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 3/2*a^2*b*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a^3*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
212,1,340,0,0.337097," ","integrate(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{4480} \, b^{3} {\left(\frac{{\left(49 \, e^{\left(-2 \, d x - 2 \, c\right)} - 245 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1225 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{1225 \, e^{\left(-d x - c\right)} - 245 \, e^{\left(-3 \, d x - 3 \, c\right)} + 49 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{8} \, a b^{2} {\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)} - \frac{1}{8} \, a^{3} {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} - 3 \, a^{2} b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"-1/4480*b^3*((49*e^(-2*d*x - 2*c) - 245*e^(-4*d*x - 4*c) + 1225*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (1225*e^(-d*x - c) - 245*e^(-3*d*x - 3*c) + 49*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/d) + 1/8*a*b^2*(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) - 1/8*a^3*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) - 3*a^2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
213,1,390,0,0.343761," ","integrate(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{1}{480} \, b^{3} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{3}{2} \, a b^{2} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{48} \, a^{3} {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} + \frac{3}{2} \, a^{2} b {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/480*b^3*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 3/2*a*b^2*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/48*a^3*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) + 3/2*a^2*b*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
214,1,463,0,0.334123," ","integrate(csch(d*x+c)^9*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{1}{24} \, b^{3} {\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)} - \frac{1}{384} \, a^{3} {\left(\frac{105 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{105 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(105 \, e^{\left(-d x - c\right)} - 805 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2681 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5053 \, e^{\left(-7 \, d x - 7 \, c\right)} - 5053 \, e^{\left(-9 \, d x - 9 \, c\right)} + 2681 \, e^{\left(-11 \, d x - 11 \, c\right)} - 805 \, e^{\left(-13 \, d x - 13 \, c\right)} + 105 \, e^{\left(-15 \, d x - 15 \, c\right)}\right)}}{d {\left(8 \, e^{\left(-2 \, d x - 2 \, c\right)} - 28 \, e^{\left(-4 \, d x - 4 \, c\right)} + 56 \, e^{\left(-6 \, d x - 6 \, c\right)} - 70 \, e^{\left(-8 \, d x - 8 \, c\right)} + 56 \, e^{\left(-10 \, d x - 10 \, c\right)} - 28 \, e^{\left(-12 \, d x - 12 \, c\right)} + 8 \, e^{\left(-14 \, d x - 14 \, c\right)} - e^{\left(-16 \, d x - 16 \, c\right)} - 1\right)}}\right)} - \frac{3}{8} \, a^{2} b {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} - 3 \, a b^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"1/24*b^3*(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) - 1/384*a^3*(105*log(e^(-d*x - c) + 1)/d - 105*log(e^(-d*x - c) - 1)/d + 2*(105*e^(-d*x - c) - 805*e^(-3*d*x - 3*c) + 2681*e^(-5*d*x - 5*c) - 5053*e^(-7*d*x - 7*c) - 5053*e^(-9*d*x - 9*c) + 2681*e^(-11*d*x - 11*c) - 805*e^(-13*d*x - 13*c) + 105*e^(-15*d*x - 15*c))/(d*(8*e^(-2*d*x - 2*c) - 28*e^(-4*d*x - 4*c) + 56*e^(-6*d*x - 6*c) - 70*e^(-8*d*x - 8*c) + 56*e^(-10*d*x - 10*c) - 28*e^(-12*d*x - 12*c) + 8*e^(-14*d*x - 14*c) - e^(-16*d*x - 16*c) - 1))) - 3/8*a^2*b*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) - 3*a*b^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
215,1,573,0,0.338828," ","integrate(csch(d*x+c)^11*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{1280} \, a^{3} {\left(\frac{315 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{315 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(315 \, e^{\left(-d x - c\right)} - 3045 \, e^{\left(-3 \, d x - 3 \, c\right)} + 13188 \, e^{\left(-5 \, d x - 5 \, c\right)} - 33660 \, e^{\left(-7 \, d x - 7 \, c\right)} + 55970 \, e^{\left(-9 \, d x - 9 \, c\right)} + 55970 \, e^{\left(-11 \, d x - 11 \, c\right)} - 33660 \, e^{\left(-13 \, d x - 13 \, c\right)} + 13188 \, e^{\left(-15 \, d x - 15 \, c\right)} - 3045 \, e^{\left(-17 \, d x - 17 \, c\right)} + 315 \, e^{\left(-19 \, d x - 19 \, c\right)}\right)}}{d {\left(10 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} + 120 \, e^{\left(-6 \, d x - 6 \, c\right)} - 210 \, e^{\left(-8 \, d x - 8 \, c\right)} + 252 \, e^{\left(-10 \, d x - 10 \, c\right)} - 210 \, e^{\left(-12 \, d x - 12 \, c\right)} + 120 \, e^{\left(-14 \, d x - 14 \, c\right)} - 45 \, e^{\left(-16 \, d x - 16 \, c\right)} + 10 \, e^{\left(-18 \, d x - 18 \, c\right)} - e^{\left(-20 \, d x - 20 \, c\right)} - 1\right)}}\right)} + \frac{1}{16} \, a^{2} b {\left(\frac{15 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{15 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(15 \, e^{\left(-d x - c\right)} - 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} + 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} + 15 \, e^{\left(-11 \, d x - 11 \, c\right)}\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} - 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} - 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} - e^{\left(-12 \, d x - 12 \, c\right)} - 1\right)}}\right)} + \frac{3}{2} \, a b^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(e^{\left(-d x - c\right)} + e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)}"," ",0,"1/2*b^3*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/1280*a^3*(315*log(e^(-d*x - c) + 1)/d - 315*log(e^(-d*x - c) - 1)/d + 2*(315*e^(-d*x - c) - 3045*e^(-3*d*x - 3*c) + 13188*e^(-5*d*x - 5*c) - 33660*e^(-7*d*x - 7*c) + 55970*e^(-9*d*x - 9*c) + 55970*e^(-11*d*x - 11*c) - 33660*e^(-13*d*x - 13*c) + 13188*e^(-15*d*x - 15*c) - 3045*e^(-17*d*x - 17*c) + 315*e^(-19*d*x - 19*c))/(d*(10*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) + 120*e^(-6*d*x - 6*c) - 210*e^(-8*d*x - 8*c) + 252*e^(-10*d*x - 10*c) - 210*e^(-12*d*x - 12*c) + 120*e^(-14*d*x - 14*c) - 45*e^(-16*d*x - 16*c) + 10*e^(-18*d*x - 18*c) - e^(-20*d*x - 20*c) - 1))) + 1/16*a^2*b*(15*log(e^(-d*x - c) + 1)/d - 15*log(e^(-d*x - c) - 1)/d + 2*(15*e^(-d*x - c) - 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) + 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) + 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) - 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) - 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) - e^(-12*d*x - 12*c) - 1))) + 3/2*a*b^2*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d + 2*(e^(-d*x - c) + e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1)))","B",0
216,1,720,0,0.342444," ","integrate(csch(d*x+c)^13*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{15360} \, a^{3} {\left(\frac{3465 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3465 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3465 \, e^{\left(-d x - c\right)} - 40425 \, e^{\left(-3 \, d x - 3 \, c\right)} + 215523 \, e^{\left(-5 \, d x - 5 \, c\right)} - 693891 \, e^{\left(-7 \, d x - 7 \, c\right)} + 1501258 \, e^{\left(-9 \, d x - 9 \, c\right)} - 2296650 \, e^{\left(-11 \, d x - 11 \, c\right)} - 2296650 \, e^{\left(-13 \, d x - 13 \, c\right)} + 1501258 \, e^{\left(-15 \, d x - 15 \, c\right)} - 693891 \, e^{\left(-17 \, d x - 17 \, c\right)} + 215523 \, e^{\left(-19 \, d x - 19 \, c\right)} - 40425 \, e^{\left(-21 \, d x - 21 \, c\right)} + 3465 \, e^{\left(-23 \, d x - 23 \, c\right)}\right)}}{d {\left(12 \, e^{\left(-2 \, d x - 2 \, c\right)} - 66 \, e^{\left(-4 \, d x - 4 \, c\right)} + 220 \, e^{\left(-6 \, d x - 6 \, c\right)} - 495 \, e^{\left(-8 \, d x - 8 \, c\right)} + 792 \, e^{\left(-10 \, d x - 10 \, c\right)} - 924 \, e^{\left(-12 \, d x - 12 \, c\right)} + 792 \, e^{\left(-14 \, d x - 14 \, c\right)} - 495 \, e^{\left(-16 \, d x - 16 \, c\right)} + 220 \, e^{\left(-18 \, d x - 18 \, c\right)} - 66 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12 \, e^{\left(-22 \, d x - 22 \, c\right)} - e^{\left(-24 \, d x - 24 \, c\right)} - 1\right)}}\right)} - \frac{1}{128} \, a^{2} b {\left(\frac{105 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{105 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(105 \, e^{\left(-d x - c\right)} - 805 \, e^{\left(-3 \, d x - 3 \, c\right)} + 2681 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5053 \, e^{\left(-7 \, d x - 7 \, c\right)} - 5053 \, e^{\left(-9 \, d x - 9 \, c\right)} + 2681 \, e^{\left(-11 \, d x - 11 \, c\right)} - 805 \, e^{\left(-13 \, d x - 13 \, c\right)} + 105 \, e^{\left(-15 \, d x - 15 \, c\right)}\right)}}{d {\left(8 \, e^{\left(-2 \, d x - 2 \, c\right)} - 28 \, e^{\left(-4 \, d x - 4 \, c\right)} + 56 \, e^{\left(-6 \, d x - 6 \, c\right)} - 70 \, e^{\left(-8 \, d x - 8 \, c\right)} + 56 \, e^{\left(-10 \, d x - 10 \, c\right)} - 28 \, e^{\left(-12 \, d x - 12 \, c\right)} + 8 \, e^{\left(-14 \, d x - 14 \, c\right)} - e^{\left(-16 \, d x - 16 \, c\right)} - 1\right)}}\right)} - \frac{3}{8} \, a b^{2} {\left(\frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, {\left(3 \, e^{\left(-d x - c\right)} - 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} + 3 \, e^{\left(-7 \, d x - 7 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} - b^{3} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d}\right)}"," ",0,"-1/15360*a^3*(3465*log(e^(-d*x - c) + 1)/d - 3465*log(e^(-d*x - c) - 1)/d + 2*(3465*e^(-d*x - c) - 40425*e^(-3*d*x - 3*c) + 215523*e^(-5*d*x - 5*c) - 693891*e^(-7*d*x - 7*c) + 1501258*e^(-9*d*x - 9*c) - 2296650*e^(-11*d*x - 11*c) - 2296650*e^(-13*d*x - 13*c) + 1501258*e^(-15*d*x - 15*c) - 693891*e^(-17*d*x - 17*c) + 215523*e^(-19*d*x - 19*c) - 40425*e^(-21*d*x - 21*c) + 3465*e^(-23*d*x - 23*c))/(d*(12*e^(-2*d*x - 2*c) - 66*e^(-4*d*x - 4*c) + 220*e^(-6*d*x - 6*c) - 495*e^(-8*d*x - 8*c) + 792*e^(-10*d*x - 10*c) - 924*e^(-12*d*x - 12*c) + 792*e^(-14*d*x - 14*c) - 495*e^(-16*d*x - 16*c) + 220*e^(-18*d*x - 18*c) - 66*e^(-20*d*x - 20*c) + 12*e^(-22*d*x - 22*c) - e^(-24*d*x - 24*c) - 1))) - 1/128*a^2*b*(105*log(e^(-d*x - c) + 1)/d - 105*log(e^(-d*x - c) - 1)/d + 2*(105*e^(-d*x - c) - 805*e^(-3*d*x - 3*c) + 2681*e^(-5*d*x - 5*c) - 5053*e^(-7*d*x - 7*c) - 5053*e^(-9*d*x - 9*c) + 2681*e^(-11*d*x - 11*c) - 805*e^(-13*d*x - 13*c) + 105*e^(-15*d*x - 15*c))/(d*(8*e^(-2*d*x - 2*c) - 28*e^(-4*d*x - 4*c) + 56*e^(-6*d*x - 6*c) - 70*e^(-8*d*x - 8*c) + 56*e^(-10*d*x - 10*c) - 28*e^(-12*d*x - 12*c) + 8*e^(-14*d*x - 14*c) - e^(-16*d*x - 16*c) - 1))) - 3/8*a*b^2*(3*log(e^(-d*x - c) + 1)/d - 3*log(e^(-d*x - c) - 1)/d + 2*(3*e^(-d*x - c) - 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) + 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) - b^3*(log(e^(-d*x - c) + 1)/d - log(e^(-d*x - c) - 1)/d)","B",0
217,1,442,0,0.334318," ","integrate(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, a^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{3440640} \, b^{3} {\left(\frac{{\left(245 \, e^{\left(-2 \, d x - 2 \, c\right)} - 1911 \, e^{\left(-4 \, d x - 4 \, c\right)} + 9555 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35035 \, e^{\left(-8 \, d x - 8 \, c\right)} + 105105 \, e^{\left(-10 \, d x - 10 \, c\right)} - 315315 \, e^{\left(-12 \, d x - 12 \, c\right)} - 15\right)} e^{\left(14 \, d x + 14 \, c\right)}}{d} + \frac{720720 \, {\left(d x + c\right)}}{d} + \frac{315315 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35035 \, e^{\left(-6 \, d x - 6 \, c\right)} - 9555 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1911 \, e^{\left(-10 \, d x - 10 \, c\right)} - 245 \, e^{\left(-12 \, d x - 12 \, c\right)} + 15 \, e^{\left(-14 \, d x - 14 \, c\right)}}{d}\right)} - \frac{3}{20480} \, a b^{2} {\left(\frac{{\left(25 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 \, e^{\left(-4 \, d x - 4 \, c\right)} + 600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2100 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{5040 \, {\left(d x + c\right)}}{d} + \frac{2100 \, e^{\left(-2 \, d x - 2 \, c\right)} - 600 \, e^{\left(-4 \, d x - 4 \, c\right)} + 150 \, e^{\left(-6 \, d x - 6 \, c\right)} - 25 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{1}{128} \, a^{2} b {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"-1/8*a^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/3440640*b^3*((245*e^(-2*d*x - 2*c) - 1911*e^(-4*d*x - 4*c) + 9555*e^(-6*d*x - 6*c) - 35035*e^(-8*d*x - 8*c) + 105105*e^(-10*d*x - 10*c) - 315315*e^(-12*d*x - 12*c) - 15)*e^(14*d*x + 14*c)/d + 720720*(d*x + c)/d + (315315*e^(-2*d*x - 2*c) - 105105*e^(-4*d*x - 4*c) + 35035*e^(-6*d*x - 6*c) - 9555*e^(-8*d*x - 8*c) + 1911*e^(-10*d*x - 10*c) - 245*e^(-12*d*x - 12*c) + 15*e^(-14*d*x - 14*c))/d) - 3/20480*a*b^2*((25*e^(-2*d*x - 2*c) - 150*e^(-4*d*x - 4*c) + 600*e^(-6*d*x - 6*c) - 2100*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 5040*(d*x + c)/d + (2100*e^(-2*d*x - 2*c) - 600*e^(-4*d*x - 4*c) + 150*e^(-6*d*x - 6*c) - 25*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 1/128*a^2*b*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d)","A",0
218,1,344,0,0.325845," ","integrate((a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a^{2} 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^{3} x - \frac{1}{245760} \, b^{3} {\left(\frac{{\left(72 \, e^{\left(-2 \, d x - 2 \, c\right)} - 495 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2200 \, e^{\left(-6 \, d x - 6 \, c\right)} - 7425 \, e^{\left(-8 \, d x - 8 \, c\right)} + 23760 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5\right)} e^{\left(12 \, d x + 12 \, c\right)}}{d} - \frac{55440 \, {\left(d x + c\right)}}{d} - \frac{23760 \, e^{\left(-2 \, d x - 2 \, c\right)} - 7425 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2200 \, e^{\left(-6 \, d x - 6 \, c\right)} - 495 \, e^{\left(-8 \, d x - 8 \, c\right)} + 72 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d}\right)} - \frac{1}{2048} \, a b^{2} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)}"," ",0,"3/64*a^2*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^3*x - 1/245760*b^3*((72*e^(-2*d*x - 2*c) - 495*e^(-4*d*x - 4*c) + 2200*e^(-6*d*x - 6*c) - 7425*e^(-8*d*x - 8*c) + 23760*e^(-10*d*x - 10*c) - 5)*e^(12*d*x + 12*c)/d - 55440*(d*x + c)/d - (23760*e^(-2*d*x - 2*c) - 7425*e^(-4*d*x - 4*c) + 2200*e^(-6*d*x - 6*c) - 495*e^(-8*d*x - 8*c) + 72*e^(-10*d*x - 10*c) - 5*e^(-12*d*x - 12*c))/d) - 1/2048*a*b^2*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d)","A",0
219,1,284,0,0.328513," ","integrate(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a^{2} 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)} - \frac{1}{20480} \, b^{3} {\left(\frac{{\left(25 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 \, e^{\left(-4 \, d x - 4 \, c\right)} + 600 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2100 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{5040 \, {\left(d x + c\right)}}{d} + \frac{2100 \, e^{\left(-2 \, d x - 2 \, c\right)} - 600 \, e^{\left(-4 \, d x - 4 \, c\right)} + 150 \, e^{\left(-6 \, d x - 6 \, c\right)} - 25 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{1}{128} \, a b^{2} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} + \frac{2 \, a^{3}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-3/8*a^2*b*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/20480*b^3*((25*e^(-2*d*x - 2*c) - 150*e^(-4*d*x - 4*c) + 600*e^(-6*d*x - 6*c) - 2100*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 5040*(d*x + c)/d + (2100*e^(-2*d*x - 2*c) - 600*e^(-4*d*x - 4*c) + 150*e^(-6*d*x - 6*c) - 25*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 1/128*a*b^2*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) + 2*a^3/(d*(e^(-2*d*x - 2*c) - 1))","A",0
220,1,282,0,0.337287," ","integrate(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{3}{64} \, a b^{2} {\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)} + 3 \, a^{2} b x - \frac{1}{6144} \, b^{3} {\left(\frac{{\left(32 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 672 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{1680 \, {\left(d x + c\right)}}{d} - \frac{672 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-4 \, d x - 4 \, c\right)} + 32 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{4}{3} \, a^{3} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"3/64*a*b^2*(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) + 3*a^2*b*x - 1/6144*b^3*((32*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 672*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d - 1680*(d*x + c)/d - (672*e^(-2*d*x - 2*c) - 168*e^(-4*d*x - 4*c) + 32*e^(-6*d*x - 6*c) - 3*e^(-8*d*x - 8*c))/d) + 4/3*a^3*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","A",0
221,1,359,0,0.341822," ","integrate(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{384} \, b^{3} {\left(\frac{{\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 45 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} + \frac{120 \, {\left(d x + c\right)}}{d} + \frac{45 \, e^{\left(-2 \, d x - 2 \, c\right)} - 9 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} - \frac{16}{15} \, a^{3} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)} + \frac{6 \, a^{2} b}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-3/8*a*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 1/384*b^3*((9*e^(-2*d*x - 2*c) - 45*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d + 120*(d*x + c)/d + (45*e^(-2*d*x - 2*c) - 9*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/d) - 16/15*a^3*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))) + 6*a^2*b/(d*(e^(-2*d*x - 2*c) - 1))","B",0
222,1,537,0,0.352556," ","integrate(csch(d*x+c)^8*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{1}{64} \, b^{3} {\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)} + 3 \, a b^{2} x + \frac{32}{35} \, a^{3} {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} + \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}}\right)} + 4 \, a^{2} b {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"1/64*b^3*(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) + 3*a*b^2*x + 32/35*a^3*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) + 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 1/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1))) + 4*a^2*b*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
223,1,842,0,0.376087," ","integrate(csch(d*x+c)^10*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{3} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{256}{315} \, a^{3} {\left(\frac{9 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{36 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} + \frac{84 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{126 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{1}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}}\right)} - \frac{16}{5} \, a^{2} b {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)} + \frac{6 \, a b^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-1/8*b^3*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) - 256/315*a^3*(9*e^(-2*d*x - 2*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 36*e^(-4*d*x - 4*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) + 84*e^(-6*d*x - 6*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 126*e^(-8*d*x - 8*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 1/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1))) - 16/5*a^2*b*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))) + 6*a*b^2/(d*(e^(-2*d*x - 2*c) - 1))","B",0
224,1,1291,0,0.359400," ","integrate(csch(d*x+c)^12*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","b^{3} x + \frac{512}{693} \, a^{3} {\left(\frac{11 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{55 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{165 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{330 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{462 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{1}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}}\right)} + \frac{96}{35} \, a^{2} b {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} + \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}}\right)} + 4 \, a b^{2} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"b^3*x + 512/693*a^3*(11*e^(-2*d*x - 2*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 55*e^(-4*d*x - 4*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 165*e^(-6*d*x - 6*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 330*e^(-8*d*x - 8*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 462*e^(-10*d*x - 10*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 1/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1))) + 96/35*a^2*b*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) + 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 1/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1))) + 4*a*b^2*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
225,1,1916,0,0.366962," ","integrate(csch(d*x+c)^14*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{2048}{3003} \, a^{3} {\left(\frac{13 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{78 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} + \frac{286 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{715 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} + \frac{1287 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{1716 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{1}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}}\right)} - \frac{256}{105} \, a^{2} b {\left(\frac{9 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{36 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} + \frac{84 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{126 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{1}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}}\right)} - \frac{16}{5} \, a b^{2} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)} + \frac{2 \, b^{3}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"-2048/3003*a^3*(13*e^(-2*d*x - 2*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 78*e^(-4*d*x - 4*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) + 286*e^(-6*d*x - 6*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 715*e^(-8*d*x - 8*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) + 1287*e^(-10*d*x - 10*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 1716*e^(-12*d*x - 12*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 1/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1))) - 256/105*a^2*b*(9*e^(-2*d*x - 2*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 36*e^(-4*d*x - 4*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) + 84*e^(-6*d*x - 6*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 126*e^(-8*d*x - 8*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 1/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1))) - 16/5*a*b^2*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))) + 2*b^3/(d*(e^(-2*d*x - 2*c) - 1))","B",0
226,1,2731,0,0.377821," ","integrate(csch(d*x+c)^16*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{4096}{6435} \, a^{3} {\left(\frac{15 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{105 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{455 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{1365 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{3003 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{5005 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{6435 \, e^{\left(-14 \, d x - 14 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{1}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}}\right)} + \frac{512}{231} \, a^{2} b {\left(\frac{11 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{55 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{165 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{330 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{462 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{1}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}}\right)} + \frac{96}{35} \, a b^{2} {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} + \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}}\right)} + \frac{4}{3} \, b^{3} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}} - \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)}"," ",0,"4096/6435*a^3*(15*e^(-2*d*x - 2*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 105*e^(-4*d*x - 4*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 455*e^(-6*d*x - 6*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 1365*e^(-8*d*x - 8*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 3003*e^(-10*d*x - 10*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 5005*e^(-12*d*x - 12*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 6435*e^(-14*d*x - 14*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 1/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1))) + 512/231*a^2*b*(11*e^(-2*d*x - 2*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 55*e^(-4*d*x - 4*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 165*e^(-6*d*x - 6*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 330*e^(-8*d*x - 8*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 462*e^(-10*d*x - 10*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 1/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1))) + 96/35*a*b^2*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) + 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 1/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1))) + 4/3*b^3*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)) - 1/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1)))","B",0
227,1,3719,0,0.390976," ","integrate(csch(d*x+c)^18*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{65536}{109395} \, a^{3} {\left(\frac{17 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} - \frac{136 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} + \frac{680 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} - \frac{2380 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} + \frac{6188 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} - \frac{12376 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} + \frac{19448 \, e^{\left(-14 \, d x - 14 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} - \frac{24310 \, e^{\left(-16 \, d x - 16 \, c\right)}}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}} - \frac{1}{d {\left(17 \, e^{\left(-2 \, d x - 2 \, c\right)} - 136 \, e^{\left(-4 \, d x - 4 \, c\right)} + 680 \, e^{\left(-6 \, d x - 6 \, c\right)} - 2380 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6188 \, e^{\left(-10 \, d x - 10 \, c\right)} - 12376 \, e^{\left(-12 \, d x - 12 \, c\right)} + 19448 \, e^{\left(-14 \, d x - 14 \, c\right)} - 24310 \, e^{\left(-16 \, d x - 16 \, c\right)} + 24310 \, e^{\left(-18 \, d x - 18 \, c\right)} - 19448 \, e^{\left(-20 \, d x - 20 \, c\right)} + 12376 \, e^{\left(-22 \, d x - 22 \, c\right)} - 6188 \, e^{\left(-24 \, d x - 24 \, c\right)} + 2380 \, e^{\left(-26 \, d x - 26 \, c\right)} - 680 \, e^{\left(-28 \, d x - 28 \, c\right)} + 136 \, e^{\left(-30 \, d x - 30 \, c\right)} - 17 \, e^{\left(-32 \, d x - 32 \, c\right)} + e^{\left(-34 \, d x - 34 \, c\right)} - 1\right)}}\right)} - \frac{2048}{1001} \, a^{2} b {\left(\frac{13 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{78 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} + \frac{286 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{715 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} + \frac{1287 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{1716 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}} - \frac{1}{d {\left(13 \, e^{\left(-2 \, d x - 2 \, c\right)} - 78 \, e^{\left(-4 \, d x - 4 \, c\right)} + 286 \, e^{\left(-6 \, d x - 6 \, c\right)} - 715 \, e^{\left(-8 \, d x - 8 \, c\right)} + 1287 \, e^{\left(-10 \, d x - 10 \, c\right)} - 1716 \, e^{\left(-12 \, d x - 12 \, c\right)} + 1716 \, e^{\left(-14 \, d x - 14 \, c\right)} - 1287 \, e^{\left(-16 \, d x - 16 \, c\right)} + 715 \, e^{\left(-18 \, d x - 18 \, c\right)} - 286 \, e^{\left(-20 \, d x - 20 \, c\right)} + 78 \, e^{\left(-22 \, d x - 22 \, c\right)} - 13 \, e^{\left(-24 \, d x - 24 \, c\right)} + e^{\left(-26 \, d x - 26 \, c\right)} - 1\right)}}\right)} - \frac{256}{105} \, a b^{2} {\left(\frac{9 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{36 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} + \frac{84 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{126 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}} - \frac{1}{d {\left(9 \, e^{\left(-2 \, d x - 2 \, c\right)} - 36 \, e^{\left(-4 \, d x - 4 \, c\right)} + 84 \, e^{\left(-6 \, d x - 6 \, c\right)} - 126 \, e^{\left(-8 \, d x - 8 \, c\right)} + 126 \, e^{\left(-10 \, d x - 10 \, c\right)} - 84 \, e^{\left(-12 \, d x - 12 \, c\right)} + 36 \, e^{\left(-14 \, d x - 14 \, c\right)} - 9 \, e^{\left(-16 \, d x - 16 \, c\right)} + e^{\left(-18 \, d x - 18 \, c\right)} - 1\right)}}\right)} - \frac{16}{15} \, b^{3} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}} - \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}\right)}"," ",0,"-65536/109395*a^3*(17*e^(-2*d*x - 2*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) - 136*e^(-4*d*x - 4*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) + 680*e^(-6*d*x - 6*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) - 2380*e^(-8*d*x - 8*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) + 6188*e^(-10*d*x - 10*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) - 12376*e^(-12*d*x - 12*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) + 19448*e^(-14*d*x - 14*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) - 24310*e^(-16*d*x - 16*c)/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1)) - 1/(d*(17*e^(-2*d*x - 2*c) - 136*e^(-4*d*x - 4*c) + 680*e^(-6*d*x - 6*c) - 2380*e^(-8*d*x - 8*c) + 6188*e^(-10*d*x - 10*c) - 12376*e^(-12*d*x - 12*c) + 19448*e^(-14*d*x - 14*c) - 24310*e^(-16*d*x - 16*c) + 24310*e^(-18*d*x - 18*c) - 19448*e^(-20*d*x - 20*c) + 12376*e^(-22*d*x - 22*c) - 6188*e^(-24*d*x - 24*c) + 2380*e^(-26*d*x - 26*c) - 680*e^(-28*d*x - 28*c) + 136*e^(-30*d*x - 30*c) - 17*e^(-32*d*x - 32*c) + e^(-34*d*x - 34*c) - 1))) - 2048/1001*a^2*b*(13*e^(-2*d*x - 2*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 78*e^(-4*d*x - 4*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) + 286*e^(-6*d*x - 6*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 715*e^(-8*d*x - 8*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) + 1287*e^(-10*d*x - 10*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 1716*e^(-12*d*x - 12*c)/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1)) - 1/(d*(13*e^(-2*d*x - 2*c) - 78*e^(-4*d*x - 4*c) + 286*e^(-6*d*x - 6*c) - 715*e^(-8*d*x - 8*c) + 1287*e^(-10*d*x - 10*c) - 1716*e^(-12*d*x - 12*c) + 1716*e^(-14*d*x - 14*c) - 1287*e^(-16*d*x - 16*c) + 715*e^(-18*d*x - 18*c) - 286*e^(-20*d*x - 20*c) + 78*e^(-22*d*x - 22*c) - 13*e^(-24*d*x - 24*c) + e^(-26*d*x - 26*c) - 1))) - 256/105*a*b^2*(9*e^(-2*d*x - 2*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 36*e^(-4*d*x - 4*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) + 84*e^(-6*d*x - 6*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 126*e^(-8*d*x - 8*c)/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1)) - 1/(d*(9*e^(-2*d*x - 2*c) - 36*e^(-4*d*x - 4*c) + 84*e^(-6*d*x - 6*c) - 126*e^(-8*d*x - 8*c) + 126*e^(-10*d*x - 10*c) - 84*e^(-12*d*x - 12*c) + 36*e^(-14*d*x - 14*c) - 9*e^(-16*d*x - 16*c) + e^(-18*d*x - 18*c) - 1))) - 16/15*b^3*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)) - 1/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1)))","B",0
228,1,4883,0,0.395003," ","integrate(csch(d*x+c)^20*(a+b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{131072}{230945} \, a^{3} {\left(\frac{19 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} - \frac{171 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} + \frac{969 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} - \frac{3876 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} + \frac{11628 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} - \frac{27132 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} + \frac{50388 \, e^{\left(-14 \, d x - 14 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} - \frac{75582 \, e^{\left(-16 \, d x - 16 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} + \frac{92378 \, e^{\left(-18 \, d x - 18 \, c\right)}}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}} - \frac{1}{d {\left(19 \, e^{\left(-2 \, d x - 2 \, c\right)} - 171 \, e^{\left(-4 \, d x - 4 \, c\right)} + 969 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3876 \, e^{\left(-8 \, d x - 8 \, c\right)} + 11628 \, e^{\left(-10 \, d x - 10 \, c\right)} - 27132 \, e^{\left(-12 \, d x - 12 \, c\right)} + 50388 \, e^{\left(-14 \, d x - 14 \, c\right)} - 75582 \, e^{\left(-16 \, d x - 16 \, c\right)} + 92378 \, e^{\left(-18 \, d x - 18 \, c\right)} - 92378 \, e^{\left(-20 \, d x - 20 \, c\right)} + 75582 \, e^{\left(-22 \, d x - 22 \, c\right)} - 50388 \, e^{\left(-24 \, d x - 24 \, c\right)} + 27132 \, e^{\left(-26 \, d x - 26 \, c\right)} - 11628 \, e^{\left(-28 \, d x - 28 \, c\right)} + 3876 \, e^{\left(-30 \, d x - 30 \, c\right)} - 969 \, e^{\left(-32 \, d x - 32 \, c\right)} + 171 \, e^{\left(-34 \, d x - 34 \, c\right)} - 19 \, e^{\left(-36 \, d x - 36 \, c\right)} + e^{\left(-38 \, d x - 38 \, c\right)} - 1\right)}}\right)} + \frac{4096}{2145} \, a^{2} b {\left(\frac{15 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{105 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{455 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{1365 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{3003 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{5005 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} + \frac{6435 \, e^{\left(-14 \, d x - 14 \, c\right)}}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}} - \frac{1}{d {\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 105 \, e^{\left(-4 \, d x - 4 \, c\right)} + 455 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1365 \, e^{\left(-8 \, d x - 8 \, c\right)} + 3003 \, e^{\left(-10 \, d x - 10 \, c\right)} - 5005 \, e^{\left(-12 \, d x - 12 \, c\right)} + 6435 \, e^{\left(-14 \, d x - 14 \, c\right)} - 6435 \, e^{\left(-16 \, d x - 16 \, c\right)} + 5005 \, e^{\left(-18 \, d x - 18 \, c\right)} - 3003 \, e^{\left(-20 \, d x - 20 \, c\right)} + 1365 \, e^{\left(-22 \, d x - 22 \, c\right)} - 455 \, e^{\left(-24 \, d x - 24 \, c\right)} + 105 \, e^{\left(-26 \, d x - 26 \, c\right)} - 15 \, e^{\left(-28 \, d x - 28 \, c\right)} + e^{\left(-30 \, d x - 30 \, c\right)} - 1\right)}}\right)} + \frac{512}{231} \, a b^{2} {\left(\frac{11 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{55 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{165 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{330 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} + \frac{462 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}} - \frac{1}{d {\left(11 \, e^{\left(-2 \, d x - 2 \, c\right)} - 55 \, e^{\left(-4 \, d x - 4 \, c\right)} + 165 \, e^{\left(-6 \, d x - 6 \, c\right)} - 330 \, e^{\left(-8 \, d x - 8 \, c\right)} + 462 \, e^{\left(-10 \, d x - 10 \, c\right)} - 462 \, e^{\left(-12 \, d x - 12 \, c\right)} + 330 \, e^{\left(-14 \, d x - 14 \, c\right)} - 165 \, e^{\left(-16 \, d x - 16 \, c\right)} + 55 \, e^{\left(-18 \, d x - 18 \, c\right)} - 11 \, e^{\left(-20 \, d x - 20 \, c\right)} + e^{\left(-22 \, d x - 22 \, c\right)} - 1\right)}}\right)} + \frac{32}{35} \, b^{3} {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} + \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}} - \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} - 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} - 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} - 1\right)}}\right)}"," ",0,"131072/230945*a^3*(19*e^(-2*d*x - 2*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) - 171*e^(-4*d*x - 4*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) + 969*e^(-6*d*x - 6*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) - 3876*e^(-8*d*x - 8*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) + 11628*e^(-10*d*x - 10*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) - 27132*e^(-12*d*x - 12*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) + 50388*e^(-14*d*x - 14*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) - 75582*e^(-16*d*x - 16*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) + 92378*e^(-18*d*x - 18*c)/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1)) - 1/(d*(19*e^(-2*d*x - 2*c) - 171*e^(-4*d*x - 4*c) + 969*e^(-6*d*x - 6*c) - 3876*e^(-8*d*x - 8*c) + 11628*e^(-10*d*x - 10*c) - 27132*e^(-12*d*x - 12*c) + 50388*e^(-14*d*x - 14*c) - 75582*e^(-16*d*x - 16*c) + 92378*e^(-18*d*x - 18*c) - 92378*e^(-20*d*x - 20*c) + 75582*e^(-22*d*x - 22*c) - 50388*e^(-24*d*x - 24*c) + 27132*e^(-26*d*x - 26*c) - 11628*e^(-28*d*x - 28*c) + 3876*e^(-30*d*x - 30*c) - 969*e^(-32*d*x - 32*c) + 171*e^(-34*d*x - 34*c) - 19*e^(-36*d*x - 36*c) + e^(-38*d*x - 38*c) - 1))) + 4096/2145*a^2*b*(15*e^(-2*d*x - 2*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 105*e^(-4*d*x - 4*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 455*e^(-6*d*x - 6*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 1365*e^(-8*d*x - 8*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 3003*e^(-10*d*x - 10*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 5005*e^(-12*d*x - 12*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) + 6435*e^(-14*d*x - 14*c)/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1)) - 1/(d*(15*e^(-2*d*x - 2*c) - 105*e^(-4*d*x - 4*c) + 455*e^(-6*d*x - 6*c) - 1365*e^(-8*d*x - 8*c) + 3003*e^(-10*d*x - 10*c) - 5005*e^(-12*d*x - 12*c) + 6435*e^(-14*d*x - 14*c) - 6435*e^(-16*d*x - 16*c) + 5005*e^(-18*d*x - 18*c) - 3003*e^(-20*d*x - 20*c) + 1365*e^(-22*d*x - 22*c) - 455*e^(-24*d*x - 24*c) + 105*e^(-26*d*x - 26*c) - 15*e^(-28*d*x - 28*c) + e^(-30*d*x - 30*c) - 1))) + 512/231*a*b^2*(11*e^(-2*d*x - 2*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 55*e^(-4*d*x - 4*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 165*e^(-6*d*x - 6*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 330*e^(-8*d*x - 8*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) + 462*e^(-10*d*x - 10*c)/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1)) - 1/(d*(11*e^(-2*d*x - 2*c) - 55*e^(-4*d*x - 4*c) + 165*e^(-6*d*x - 6*c) - 330*e^(-8*d*x - 8*c) + 462*e^(-10*d*x - 10*c) - 462*e^(-12*d*x - 12*c) + 330*e^(-14*d*x - 14*c) - 165*e^(-16*d*x - 16*c) + 55*e^(-18*d*x - 18*c) - 11*e^(-20*d*x - 20*c) + e^(-22*d*x - 22*c) - 1))) + 32/35*b^3*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) + 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)) - 1/(d*(7*e^(-2*d*x - 2*c) - 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) - 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) - 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) - 1)))","B",0
229,0,0,0,0.000000," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{{\left(e^{\left(6 \, d x + 6 \, c\right)} - 9 \, e^{\left(4 \, d x + 4 \, c\right)} - 9 \, e^{\left(2 \, d x + 2 \, c\right)} + 1\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, b d} - \frac{1}{128} \, \int \frac{256 \, {\left(a e^{\left(7 \, d x + 7 \, c\right)} - 3 \, a e^{\left(5 \, d x + 5 \, c\right)} + 3 \, a e^{\left(3 \, d x + 3 \, c\right)} - a e^{\left(d x + c\right)}\right)}}{b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 4 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2} - 2 \, {\left(8 \, a b e^{\left(4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"-1/24*(e^(6*d*x + 6*c) - 9*e^(4*d*x + 4*c) - 9*e^(2*d*x + 2*c) + 1)*e^(-3*d*x - 3*c)/(b*d) - 1/128*integrate(256*(a*e^(7*d*x + 7*c) - 3*a*e^(5*d*x + 5*c) + 3*a*e^(3*d*x + 3*c) - a*e^(d*x + c))/(b^2*e^(8*d*x + 8*c) - 4*b^2*e^(6*d*x + 6*c) - 4*b^2*e^(2*d*x + 2*c) + b^2 - 2*(8*a*b*e^(4*c) - 3*b^2*e^(4*c))*e^(4*d*x)), x)","F",0
230,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)} e^{\left(-d x - c\right)}}{2 \, b d} - \frac{1}{32} \, \int \frac{256 \, {\left(a e^{\left(5 \, d x + 5 \, c\right)} - a e^{\left(3 \, d x + 3 \, c\right)}\right)}}{b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 4 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2} - 2 \, {\left(8 \, a b e^{\left(4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"-1/2*(e^(2*d*x + 2*c) + 1)*e^(-d*x - c)/(b*d) - 1/32*integrate(256*(a*e^(5*d*x + 5*c) - a*e^(3*d*x + 3*c))/(b^2*e^(8*d*x + 8*c) - 4*b^2*e^(6*d*x + 6*c) - 4*b^2*e^(2*d*x + 2*c) + b^2 - 2*(8*a*b*e^(4*c) - 3*b^2*e^(4*c))*e^(4*d*x)), x)","F",0
231,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\int \frac{\sinh\left(d x + c\right)^{3}}{b \sinh\left(d x + c\right)^{4} - a}\,{d x}"," ",0,"-integrate(sinh(d*x + c)^3/(b*sinh(d*x + c)^4 - a), x)","F",0
232,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\int \frac{\sinh\left(d x + c\right)}{b \sinh\left(d x + c\right)^{4} - a}\,{d x}"," ",0,"-integrate(sinh(d*x + c)/(b*sinh(d*x + c)^4 - a), x)","F",0
233,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a d} - 2 \, \int \frac{b e^{\left(7 \, d x + 7 \, c\right)} - 3 \, b e^{\left(5 \, d x + 5 \, c\right)} + 3 \, b e^{\left(3 \, d x + 3 \, c\right)} - b e^{\left(d x + c\right)}}{a b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a b - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 3 \, a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"-log((e^(d*x + c) + 1)*e^(-c))/(a*d) + log((e^(d*x + c) - 1)*e^(-c))/(a*d) - 2*integrate((b*e^(7*d*x + 7*c) - 3*b*e^(5*d*x + 5*c) + 3*b*e^(3*d*x + 3*c) - b*e^(d*x + c))/(a*b*e^(8*d*x + 8*c) - 4*a*b*e^(6*d*x + 6*c) - 4*a*b*e^(2*d*x + 2*c) + a*b - 2*(8*a^2*e^(4*c) - 3*a*b*e^(4*c))*e^(4*d*x)), x)","F",0
234,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}}{a d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a d e^{\left(2 \, d x + 2 \, c\right)} + a d} + \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{2 \, a d} - \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{2 \, a d} - 8 \, \int \frac{b e^{\left(5 \, d x + 5 \, c\right)} - b e^{\left(3 \, d x + 3 \, c\right)}}{a b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a b - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 3 \, a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"-(e^(3*d*x + 3*c) + e^(d*x + c))/(a*d*e^(4*d*x + 4*c) - 2*a*d*e^(2*d*x + 2*c) + a*d) + 1/2*log((e^(d*x + c) + 1)*e^(-c))/(a*d) - 1/2*log((e^(d*x + c) - 1)*e^(-c))/(a*d) - 8*integrate((b*e^(5*d*x + 5*c) - b*e^(3*d*x + 3*c))/(a*b*e^(8*d*x + 8*c) - 4*a*b*e^(6*d*x + 6*c) - 4*a*b*e^(2*d*x + 2*c) + a*b - 2*(8*a^2*e^(4*c) - 3*a*b*e^(4*c))*e^(4*d*x)), x)","F",0
235,0,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","\frac{{\left(4 \, d x e^{\left(2 \, d x + 2 \, c\right)} - e^{\left(4 \, d x + 4 \, c\right)} + 1\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b d} - \frac{1}{64} \, \int \frac{256 \, {\left(a e^{\left(6 \, d x + 6 \, c\right)} - 2 \, a e^{\left(4 \, d x + 4 \, c\right)} + a e^{\left(2 \, d x + 2 \, c\right)}\right)}}{b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 4 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2} - 2 \, {\left(8 \, a b e^{\left(4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"1/8*(4*d*x*e^(2*d*x + 2*c) - e^(4*d*x + 4*c) + 1)*e^(-2*d*x - 2*c)/(b*d) - 1/64*integrate(256*(a*e^(6*d*x + 6*c) - 2*a*e^(4*d*x + 4*c) + a*e^(2*d*x + 2*c))/(b^2*e^(8*d*x + 8*c) - 4*b^2*e^(6*d*x + 6*c) - 4*b^2*e^(2*d*x + 2*c) + b^2 - 2*(8*a*b*e^(4*c) - 3*b^2*e^(4*c))*e^(4*d*x)), x)","F",0
236,0,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-16 \, a \int \frac{e^{\left(4 \, d x + 4 \, c\right)}}{b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 4 \, b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 4 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{2} - 2 \, {\left(8 \, a b e^{\left(4 \, c\right)} - 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x} - \frac{x}{b}"," ",0,"-16*a*integrate(e^(4*d*x + 4*c)/(b^2*e^(8*d*x + 8*c) - 4*b^2*e^(6*d*x + 6*c) - 4*b^2*e^(2*d*x + 2*c) + b^2 - 2*(8*a*b*e^(4*c) - 3*b^2*e^(4*c))*e^(4*d*x)), x) - x/b","F",0
237,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\int \frac{\sinh\left(d x + c\right)^{2}}{b \sinh\left(d x + c\right)^{4} - a}\,{d x}"," ",0,"-integrate(sinh(d*x + c)^2/(b*sinh(d*x + c)^4 - a), x)","F",0
238,0,0,0,0.000000," ","integrate(1/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\int \frac{1}{b \sinh\left(d x + c\right)^{4} - a}\,{d x}"," ",0,"-integrate(1/(b*sinh(d*x + c)^4 - a), x)","F",0
239,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-\frac{2}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - 4 \, \int \frac{b e^{\left(6 \, d x + 6 \, c\right)} - 2 \, b e^{\left(4 \, d x + 4 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)}}{a b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a b - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 3 \, a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x}"," ",0,"-2/(a*d*e^(2*d*x + 2*c) - a*d) - 4*integrate((b*e^(6*d*x + 6*c) - 2*b*e^(4*d*x + 4*c) + b*e^(2*d*x + 2*c))/(a*b*e^(8*d*x + 8*c) - 4*a*b*e^(6*d*x + 6*c) - 4*a*b*e^(2*d*x + 2*c) + a*b - 2*(8*a^2*e^(4*c) - 3*a*b*e^(4*c))*e^(4*d*x)), x)","F",0
240,0,0,0,0.000000," ","integrate(csch(d*x+c)^4/(a-b*sinh(d*x+c)^4),x, algorithm=""maxima"")","-16 \, b \int \frac{e^{\left(4 \, d x + 4 \, c\right)}}{a b e^{\left(8 \, d x + 8 \, c\right)} - 4 \, a b e^{\left(6 \, d x + 6 \, c\right)} - 4 \, a b e^{\left(2 \, d x + 2 \, c\right)} + a b - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 3 \, a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}}\,{d x} - \frac{4 \, {\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{3 \, {\left(a d e^{\left(6 \, d x + 6 \, c\right)} - 3 \, a d e^{\left(4 \, d x + 4 \, c\right)} + 3 \, a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)}}"," ",0,"-16*b*integrate(e^(4*d*x + 4*c)/(a*b*e^(8*d*x + 8*c) - 4*a*b*e^(6*d*x + 6*c) - 4*a*b*e^(2*d*x + 2*c) + a*b - 2*(8*a^2*e^(4*c) - 3*a*b*e^(4*c))*e^(4*d*x)), x) - 4/3*(3*e^(2*d*x + 2*c) - 1)/(a*d*e^(6*d*x + 6*c) - 3*a*d*e^(4*d*x + 4*c) + 3*a*d*e^(2*d*x + 2*c) - a*d)","F",0
241,0,0,0,0.000000," ","integrate(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{a b - b^{2} + {\left(a b e^{\left(10 \, c\right)} - b^{2} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} - {\left(2 \, a b e^{\left(8 \, c\right)} - 3 \, b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - {\left(20 \, a^{2} e^{\left(6 \, c\right)} - 17 \, a b e^{\left(6 \, c\right)} + 2 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(20 \, a^{2} e^{\left(4 \, c\right)} - 17 \, a b e^{\left(4 \, c\right)} + 2 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(2 \, a b e^{\left(2 \, c\right)} - 3 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{2 \, {\left({\left(a b^{3} d e^{\left(9 \, c\right)} - b^{4} d e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} - 4 \, {\left(a b^{3} d e^{\left(7 \, c\right)} - b^{4} d e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - 2 \, {\left(8 \, a^{2} b^{2} d e^{\left(5 \, c\right)} - 11 \, a b^{3} d e^{\left(5 \, c\right)} + 3 \, b^{4} d e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - 4 \, {\left(a b^{3} d e^{\left(3 \, c\right)} - b^{4} d e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a b^{3} d e^{c} - b^{4} d e^{c}\right)} e^{\left(d x\right)}\right)}} + \frac{1}{512} \, \int \frac{256 \, {\left(a b e^{\left(7 \, d x + 7 \, c\right)} - a b e^{\left(d x + c\right)} + {\left(20 \, a^{2} e^{\left(5 \, c\right)} - 27 \, a b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(20 \, a^{2} e^{\left(3 \, c\right)} - 27 \, a b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)}\right)}}{a b^{3} - b^{4} + {\left(a b^{3} e^{\left(8 \, c\right)} - b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{3} e^{\left(6 \, c\right)} - b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b^{2} e^{\left(4 \, c\right)} - 11 \, a b^{3} e^{\left(4 \, c\right)} + 3 \, b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{3} e^{\left(2 \, c\right)} - b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/2*(a*b - b^2 + (a*b*e^(10*c) - b^2*e^(10*c))*e^(10*d*x) - (2*a*b*e^(8*c) - 3*b^2*e^(8*c))*e^(8*d*x) - (20*a^2*e^(6*c) - 17*a*b*e^(6*c) + 2*b^2*e^(6*c))*e^(6*d*x) - (20*a^2*e^(4*c) - 17*a*b*e^(4*c) + 2*b^2*e^(4*c))*e^(4*d*x) - (2*a*b*e^(2*c) - 3*b^2*e^(2*c))*e^(2*d*x))/((a*b^3*d*e^(9*c) - b^4*d*e^(9*c))*e^(9*d*x) - 4*(a*b^3*d*e^(7*c) - b^4*d*e^(7*c))*e^(7*d*x) - 2*(8*a^2*b^2*d*e^(5*c) - 11*a*b^3*d*e^(5*c) + 3*b^4*d*e^(5*c))*e^(5*d*x) - 4*(a*b^3*d*e^(3*c) - b^4*d*e^(3*c))*e^(3*d*x) + (a*b^3*d*e^c - b^4*d*e^c)*e^(d*x)) + 1/512*integrate(256*(a*b*e^(7*d*x + 7*c) - a*b*e^(d*x + c) + (20*a^2*e^(5*c) - 27*a*b*e^(5*c))*e^(5*d*x) - (20*a^2*e^(3*c) - 27*a*b*e^(3*c))*e^(3*d*x))/(a*b^3 - b^4 + (a*b^3*e^(8*c) - b^4*e^(8*c))*e^(8*d*x) - 4*(a*b^3*e^(6*c) - b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b^2*e^(4*c) - 11*a*b^3*e^(4*c) + 3*b^4*e^(4*c))*e^(4*d*x) - 4*(a*b^3*e^(2*c) - b^4*e^(2*c))*e^(2*d*x)), x)","F",0
242,0,0,0,0.000000," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{a e^{\left(7 \, d x + 7 \, c\right)} - 5 \, a e^{\left(5 \, d x + 5 \, c\right)} - 5 \, a e^{\left(3 \, d x + 3 \, c\right)} + a e^{\left(d x + c\right)}}{2 \, {\left(a b^{2} d - b^{3} d + {\left(a b^{2} d e^{\left(8 \, c\right)} - b^{3} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(6 \, c\right)} - b^{3} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b d e^{\left(4 \, c\right)} - 11 \, a b^{2} d e^{\left(4 \, c\right)} + 3 \, b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(2 \, c\right)} - b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{128} \, \int \frac{64 \, {\left({\left(3 \, a e^{\left(7 \, c\right)} - 4 \, b e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(5 \, a e^{\left(5 \, c\right)} - 12 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(5 \, a e^{\left(3 \, c\right)} - 12 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(3 \, a e^{c} - 4 \, b e^{c}\right)} e^{\left(d x\right)}\right)}}{a b^{2} - b^{3} + {\left(a b^{2} e^{\left(8 \, c\right)} - b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b e^{\left(4 \, c\right)} - 11 \, a b^{2} e^{\left(4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*(a*e^(7*d*x + 7*c) - 5*a*e^(5*d*x + 5*c) - 5*a*e^(3*d*x + 3*c) + a*e^(d*x + c))/(a*b^2*d - b^3*d + (a*b^2*d*e^(8*c) - b^3*d*e^(8*c))*e^(8*d*x) - 4*(a*b^2*d*e^(6*c) - b^3*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*d*e^(4*c) - 11*a*b^2*d*e^(4*c) + 3*b^3*d*e^(4*c))*e^(4*d*x) - 4*(a*b^2*d*e^(2*c) - b^3*d*e^(2*c))*e^(2*d*x)) + 1/128*integrate(64*((3*a*e^(7*c) - 4*b*e^(7*c))*e^(7*d*x) - (5*a*e^(5*c) - 12*b*e^(5*c))*e^(5*d*x) + (5*a*e^(3*c) - 12*b*e^(3*c))*e^(3*d*x) - (3*a*e^c - 4*b*e^c)*e^(d*x))/(a*b^2 - b^3 + (a*b^2*e^(8*c) - b^3*e^(8*c))*e^(8*d*x) - 4*(a*b^2*e^(6*c) - b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*e^(4*c) - 11*a*b^2*e^(4*c) + 3*b^3*e^(4*c))*e^(4*d*x) - 4*(a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
243,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(4 \, a e^{\left(5 \, c\right)} + b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(4 \, a e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - b e^{\left(7 \, d x + 7 \, c\right)} - b e^{\left(d x + c\right)}}{2 \, {\left(a b^{2} d - b^{3} d + {\left(a b^{2} d e^{\left(8 \, c\right)} - b^{3} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(6 \, c\right)} - b^{3} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b d e^{\left(4 \, c\right)} - 11 \, a b^{2} d e^{\left(4 \, c\right)} + 3 \, b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(2 \, c\right)} - b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{32} \, \int \frac{16 \, {\left({\left(4 \, a e^{\left(5 \, c\right)} - 11 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(4 \, a e^{\left(3 \, c\right)} - 11 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + b e^{\left(7 \, d x + 7 \, c\right)} - b e^{\left(d x + c\right)}\right)}}{a b^{2} - b^{3} + {\left(a b^{2} e^{\left(8 \, c\right)} - b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b e^{\left(4 \, c\right)} - 11 \, a b^{2} e^{\left(4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((4*a*e^(5*c) + b*e^(5*c))*e^(5*d*x) + (4*a*e^(3*c) + b*e^(3*c))*e^(3*d*x) - b*e^(7*d*x + 7*c) - b*e^(d*x + c))/(a*b^2*d - b^3*d + (a*b^2*d*e^(8*c) - b^3*d*e^(8*c))*e^(8*d*x) - 4*(a*b^2*d*e^(6*c) - b^3*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*d*e^(4*c) - 11*a*b^2*d*e^(4*c) + 3*b^3*d*e^(4*c))*e^(4*d*x) - 4*(a*b^2*d*e^(2*c) - b^3*d*e^(2*c))*e^(2*d*x)) + 1/32*integrate(16*((4*a*e^(5*c) - 11*b*e^(5*c))*e^(5*d*x) - (4*a*e^(3*c) - 11*b*e^(3*c))*e^(3*d*x) + b*e^(7*d*x + 7*c) - b*e^(d*x + c))/(a*b^2 - b^3 + (a*b^2*e^(8*c) - b^3*e^(8*c))*e^(8*d*x) - 4*(a*b^2*e^(6*c) - b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*e^(4*c) - 11*a*b^2*e^(4*c) + 3*b^3*e^(4*c))*e^(4*d*x) - 4*(a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
244,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{e^{\left(7 \, d x + 7 \, c\right)} - 5 \, e^{\left(5 \, d x + 5 \, c\right)} - 5 \, e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}}{2 \, {\left(a b d - b^{2} d + {\left(a b d e^{\left(8 \, c\right)} - b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b d e^{\left(6 \, c\right)} - b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} d e^{\left(4 \, c\right)} - 11 \, a b d e^{\left(4 \, c\right)} + 3 \, b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b d e^{\left(2 \, c\right)} - b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{1}{8} \, \int \frac{4 \, {\left(e^{\left(7 \, d x + 7 \, c\right)} - 7 \, e^{\left(5 \, d x + 5 \, c\right)} + 7 \, e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}\right)}}{a b - b^{2} + {\left(a b e^{\left(8 \, c\right)} - b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b e^{\left(6 \, c\right)} - b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 11 \, a b e^{\left(4 \, c\right)} + 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*(e^(7*d*x + 7*c) - 5*e^(5*d*x + 5*c) - 5*e^(3*d*x + 3*c) + e^(d*x + c))/(a*b*d - b^2*d + (a*b*d*e^(8*c) - b^2*d*e^(8*c))*e^(8*d*x) - 4*(a*b*d*e^(6*c) - b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*d*e^(4*c) - 11*a*b*d*e^(4*c) + 3*b^2*d*e^(4*c))*e^(4*d*x) - 4*(a*b*d*e^(2*c) - b^2*d*e^(2*c))*e^(2*d*x)) - 1/8*integrate(4*(e^(7*d*x + 7*c) - 7*e^(5*d*x + 5*c) + 7*e^(3*d*x + 3*c) - e^(d*x + c))/(a*b - b^2 + (a*b*e^(8*c) - b^2*e^(8*c))*e^(8*d*x) - 4*(a*b*e^(6*c) - b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^2*e^(4*c) - 11*a*b*e^(4*c) + 3*b^2*e^(4*c))*e^(4*d*x) - 4*(a*b*e^(2*c) - b^2*e^(2*c))*e^(2*d*x)), x)","F",0
245,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(4 \, a e^{\left(5 \, c\right)} + b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(4 \, a e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - b e^{\left(7 \, d x + 7 \, c\right)} - b e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(8 \, c\right)} - a b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(6 \, c\right)} - a b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} d e^{\left(4 \, c\right)} - 11 \, a^{2} b d e^{\left(4 \, c\right)} + 3 \, a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{2} \, \int -\frac{{\left(12 \, a e^{\left(5 \, c\right)} - 5 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(12 \, a e^{\left(3 \, c\right)} - 5 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - b e^{\left(7 \, d x + 7 \, c\right)} + b e^{\left(d x + c\right)}}{a^{2} b - a b^{2} + {\left(a^{2} b e^{\left(8 \, c\right)} - a b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(6 \, c\right)} - a b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} e^{\left(4 \, c\right)} - 11 \, a^{2} b e^{\left(4 \, c\right)} + 3 \, a b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(2 \, c\right)} - a b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((4*a*e^(5*c) + b*e^(5*c))*e^(5*d*x) + (4*a*e^(3*c) + b*e^(3*c))*e^(3*d*x) - b*e^(7*d*x + 7*c) - b*e^(d*x + c))/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(8*c) - a*b^2*d*e^(8*c))*e^(8*d*x) - 4*(a^2*b*d*e^(6*c) - a*b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^3*d*e^(4*c) - 11*a^2*b*d*e^(4*c) + 3*a*b^2*d*e^(4*c))*e^(4*d*x) - 4*(a^2*b*d*e^(2*c) - a*b^2*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(-((12*a*e^(5*c) - 5*b*e^(5*c))*e^(5*d*x) - (12*a*e^(3*c) - 5*b*e^(3*c))*e^(3*d*x) - b*e^(7*d*x + 7*c) + b*e^(d*x + c))/(a^2*b - a*b^2 + (a^2*b*e^(8*c) - a*b^2*e^(8*c))*e^(8*d*x) - 4*(a^2*b*e^(6*c) - a*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^3*e^(4*c) - 11*a^2*b*e^(4*c) + 3*a*b^2*e^(4*c))*e^(4*d*x) - 4*(a^2*b*e^(2*c) - a*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
246,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{b e^{\left(7 \, d x + 7 \, c\right)} - 5 \, b e^{\left(5 \, d x + 5 \, c\right)} - 5 \, b e^{\left(3 \, d x + 3 \, c\right)} + b e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(8 \, c\right)} - a b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(6 \, c\right)} - a b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} d e^{\left(4 \, c\right)} - 11 \, a^{2} b d e^{\left(4 \, c\right)} + 3 \, a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a^{2} d} - 2 \, \int \frac{{\left(5 \, a b e^{\left(7 \, c\right)} - 4 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(19 \, a b e^{\left(5 \, c\right)} - 12 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(19 \, a b e^{\left(3 \, c\right)} - 12 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, a b e^{c} - 4 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{3} b - a^{2} b^{2} + {\left(a^{3} b e^{\left(8 \, c\right)} - a^{2} b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(6 \, c\right)} - a^{2} b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} e^{\left(4 \, c\right)} - 11 \, a^{3} b e^{\left(4 \, c\right)} + 3 \, a^{2} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(2 \, c\right)} - a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/2*(b*e^(7*d*x + 7*c) - 5*b*e^(5*d*x + 5*c) - 5*b*e^(3*d*x + 3*c) + b*e^(d*x + c))/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(8*c) - a*b^2*d*e^(8*c))*e^(8*d*x) - 4*(a^2*b*d*e^(6*c) - a*b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^3*d*e^(4*c) - 11*a^2*b*d*e^(4*c) + 3*a*b^2*d*e^(4*c))*e^(4*d*x) - 4*(a^2*b*d*e^(2*c) - a*b^2*d*e^(2*c))*e^(2*d*x)) - log((e^(d*x + c) + 1)*e^(-c))/(a^2*d) + log((e^(d*x + c) - 1)*e^(-c))/(a^2*d) - 2*integrate(1/4*((5*a*b*e^(7*c) - 4*b^2*e^(7*c))*e^(7*d*x) - (19*a*b*e^(5*c) - 12*b^2*e^(5*c))*e^(5*d*x) + (19*a*b*e^(3*c) - 12*b^2*e^(3*c))*e^(3*d*x) - (5*a*b*e^c - 4*b^2*e^c)*e^(d*x))/(a^3*b - a^2*b^2 + (a^3*b*e^(8*c) - a^2*b^2*e^(8*c))*e^(8*d*x) - 4*(a^3*b*e^(6*c) - a^2*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^4*e^(4*c) - 11*a^3*b*e^(4*c) + 3*a^2*b^2*e^(4*c))*e^(4*d*x) - 4*(a^3*b*e^(2*c) - a^2*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
247,0,0,0,0.000000," ","integrate(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(a b d e^{\left(8 \, c\right)} - b^{2} d e^{\left(8 \, c\right)}\right)} x e^{\left(8 \, d x\right)} + a b + 2 \, {\left(a b d - b^{2} d\right)} x + {\left(a b e^{\left(6 \, c\right)} - 8 \, {\left(a b d e^{\left(6 \, c\right)} - b^{2} d e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(6 \, d x\right)} - {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 3 \, a b e^{\left(4 \, c\right)} + 4 \, {\left(8 \, a^{2} d e^{\left(4 \, c\right)} - 11 \, a b d e^{\left(4 \, c\right)} + 3 \, b^{2} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} - {\left(5 \, a b e^{\left(2 \, c\right)} + 8 \, {\left(a b d e^{\left(2 \, c\right)} - b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}{2 \, {\left(a b^{3} d - b^{4} d + {\left(a b^{3} d e^{\left(8 \, c\right)} - b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{3} d e^{\left(6 \, c\right)} - b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b^{2} d e^{\left(4 \, c\right)} - 11 \, a b^{3} d e^{\left(4 \, c\right)} + 3 \, b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{3} d e^{\left(2 \, c\right)} - b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{256} \, \int \frac{256 \, {\left(a b e^{\left(6 \, d x + 6 \, c\right)} + a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 11 \, a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}\right)}}{a b^{3} - b^{4} + {\left(a b^{3} e^{\left(8 \, c\right)} - b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{3} e^{\left(6 \, c\right)} - b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b^{2} e^{\left(4 \, c\right)} - 11 \, a b^{3} e^{\left(4 \, c\right)} + 3 \, b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{3} e^{\left(2 \, c\right)} - b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/2*(2*(a*b*d*e^(8*c) - b^2*d*e^(8*c))*x*e^(8*d*x) + a*b + 2*(a*b*d - b^2*d)*x + (a*b*e^(6*c) - 8*(a*b*d*e^(6*c) - b^2*d*e^(6*c))*x)*e^(6*d*x) - (8*a^2*e^(4*c) - 3*a*b*e^(4*c) + 4*(8*a^2*d*e^(4*c) - 11*a*b*d*e^(4*c) + 3*b^2*d*e^(4*c))*x)*e^(4*d*x) - (5*a*b*e^(2*c) + 8*(a*b*d*e^(2*c) - b^2*d*e^(2*c))*x)*e^(2*d*x))/(a*b^3*d - b^4*d + (a*b^3*d*e^(8*c) - b^4*d*e^(8*c))*e^(8*d*x) - 4*(a*b^3*d*e^(6*c) - b^4*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b^2*d*e^(4*c) - 11*a*b^3*d*e^(4*c) + 3*b^4*d*e^(4*c))*e^(4*d*x) - 4*(a*b^3*d*e^(2*c) - b^4*d*e^(2*c))*e^(2*d*x)) + 1/256*integrate(256*(a*b*e^(6*d*x + 6*c) + a*b*e^(2*d*x + 2*c) + 2*(8*a^2*e^(4*c) - 11*a*b*e^(4*c))*e^(4*d*x))/(a*b^3 - b^4 + (a*b^3*e^(8*c) - b^4*e^(8*c))*e^(8*d*x) - 4*(a*b^3*e^(6*c) - b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b^2*e^(4*c) - 11*a*b^3*e^(4*c) + 3*b^4*e^(4*c))*e^(4*d*x) - 4*(a*b^3*e^(2*c) - b^4*e^(2*c))*e^(2*d*x)), x)","F",0
248,0,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, a e^{\left(6 \, c\right)} - b e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(8 \, a e^{\left(4 \, c\right)} - 3 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(2 \, a e^{\left(2 \, c\right)} + 3 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + b}{2 \, {\left(a b^{2} d - b^{3} d + {\left(a b^{2} d e^{\left(8 \, c\right)} - b^{3} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(6 \, c\right)} - b^{3} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b d e^{\left(4 \, c\right)} - 11 \, a b^{2} d e^{\left(4 \, c\right)} + 3 \, b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(2 \, c\right)} - b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{64} \, \int \frac{64 \, {\left({\left(2 \, a e^{\left(6 \, c\right)} - 3 \, b e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + {\left(2 \, a e^{\left(2 \, c\right)} - 3 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 6 \, b e^{\left(4 \, d x + 4 \, c\right)}\right)}}{a b^{2} - b^{3} + {\left(a b^{2} e^{\left(8 \, c\right)} - b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b e^{\left(4 \, c\right)} - 11 \, a b^{2} e^{\left(4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((2*a*e^(6*c) - b*e^(6*c))*e^(6*d*x) - (8*a*e^(4*c) - 3*b*e^(4*c))*e^(4*d*x) - (2*a*e^(2*c) + 3*b*e^(2*c))*e^(2*d*x) + b)/(a*b^2*d - b^3*d + (a*b^2*d*e^(8*c) - b^3*d*e^(8*c))*e^(8*d*x) - 4*(a*b^2*d*e^(6*c) - b^3*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*d*e^(4*c) - 11*a*b^2*d*e^(4*c) + 3*b^3*d*e^(4*c))*e^(4*d*x) - 4*(a*b^2*d*e^(2*c) - b^3*d*e^(2*c))*e^(2*d*x)) + 1/64*integrate(64*((2*a*e^(6*c) - 3*b*e^(6*c))*e^(6*d*x) + (2*a*e^(2*c) - 3*b*e^(2*c))*e^(2*d*x) + 6*b*e^(4*d*x + 4*c))/(a*b^2 - b^3 + (a*b^2*e^(8*c) - b^3*e^(8*c))*e^(8*d*x) - 4*(a*b^2*e^(6*c) - b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*e^(4*c) - 11*a*b^2*e^(4*c) + 3*b^3*e^(4*c))*e^(4*d*x) - 4*(a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
249,0,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(8 \, a e^{\left(4 \, c\right)} - 3 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - b e^{\left(6 \, d x + 6 \, c\right)} + 5 \, b e^{\left(2 \, d x + 2 \, c\right)} - b}{2 \, {\left(a b^{2} d - b^{3} d + {\left(a b^{2} d e^{\left(8 \, c\right)} - b^{3} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(6 \, c\right)} - b^{3} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} b d e^{\left(4 \, c\right)} - 11 \, a b^{2} d e^{\left(4 \, c\right)} + 3 \, b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b^{2} d e^{\left(2 \, c\right)} - b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{16} \, \int \frac{16 \, {\left(e^{\left(6 \, d x + 6 \, c\right)} - 6 \, e^{\left(4 \, d x + 4 \, c\right)} + e^{\left(2 \, d x + 2 \, c\right)}\right)}}{a b - b^{2} + {\left(a b e^{\left(8 \, c\right)} - b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a b e^{\left(6 \, c\right)} - b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 11 \, a b e^{\left(4 \, c\right)} + 3 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a b e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((8*a*e^(4*c) - 3*b*e^(4*c))*e^(4*d*x) - b*e^(6*d*x + 6*c) + 5*b*e^(2*d*x + 2*c) - b)/(a*b^2*d - b^3*d + (a*b^2*d*e^(8*c) - b^3*d*e^(8*c))*e^(8*d*x) - 4*(a*b^2*d*e^(6*c) - b^3*d*e^(6*c))*e^(6*d*x) - 2*(8*a^2*b*d*e^(4*c) - 11*a*b^2*d*e^(4*c) + 3*b^3*d*e^(4*c))*e^(4*d*x) - 4*(a*b^2*d*e^(2*c) - b^3*d*e^(2*c))*e^(2*d*x)) + 1/16*integrate(16*(e^(6*d*x + 6*c) - 6*e^(4*d*x + 4*c) + e^(2*d*x + 2*c))/(a*b - b^2 + (a*b*e^(8*c) - b^2*e^(8*c))*e^(8*d*x) - 4*(a*b*e^(6*c) - b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^2*e^(4*c) - 11*a*b*e^(4*c) + 3*b^2*e^(4*c))*e^(4*d*x) - 4*(a*b*e^(2*c) - b^2*e^(2*c))*e^(2*d*x)), x)","F",0
250,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, a e^{\left(6 \, c\right)} - b e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(8 \, a e^{\left(4 \, c\right)} - 3 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(2 \, a e^{\left(2 \, c\right)} + 3 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + b}{2 \, {\left(a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(8 \, c\right)} - a b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(6 \, c\right)} - a b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} d e^{\left(4 \, c\right)} - 11 \, a^{2} b d e^{\left(4 \, c\right)} + 3 \, a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{1}{4} \, \int \frac{4 \, {\left({\left(2 \, a e^{\left(6 \, c\right)} - b e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(4 \, a e^{\left(4 \, c\right)} - b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(2 \, a e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b - a b^{2} + {\left(a^{2} b e^{\left(8 \, c\right)} - a b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(6 \, c\right)} - a b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} e^{\left(4 \, c\right)} - 11 \, a^{2} b e^{\left(4 \, c\right)} + 3 \, a b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(2 \, c\right)} - a b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((2*a*e^(6*c) - b*e^(6*c))*e^(6*d*x) - (8*a*e^(4*c) - 3*b*e^(4*c))*e^(4*d*x) - (2*a*e^(2*c) + 3*b*e^(2*c))*e^(2*d*x) + b)/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(8*c) - a*b^2*d*e^(8*c))*e^(8*d*x) - 4*(a^2*b*d*e^(6*c) - a*b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^3*d*e^(4*c) - 11*a^2*b*d*e^(4*c) + 3*a*b^2*d*e^(4*c))*e^(4*d*x) - 4*(a^2*b*d*e^(2*c) - a*b^2*d*e^(2*c))*e^(2*d*x)) - 1/4*integrate(4*((2*a*e^(6*c) - b*e^(6*c))*e^(6*d*x) - 2*(4*a*e^(4*c) - b*e^(4*c))*e^(4*d*x) + (2*a*e^(2*c) - b*e^(2*c))*e^(2*d*x))/(a^2*b - a*b^2 + (a^2*b*e^(8*c) - a*b^2*e^(8*c))*e^(8*d*x) - 4*(a^2*b*e^(6*c) - a*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^3*e^(4*c) - 11*a^2*b*e^(4*c) + 3*a*b^2*e^(4*c))*e^(4*d*x) - 4*(a^2*b*e^(2*c) - a*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
251,0,0,0,0.000000," ","integrate(1/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{{\left(8 \, a e^{\left(4 \, c\right)} - 3 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - b e^{\left(6 \, d x + 6 \, c\right)} + 5 \, b e^{\left(2 \, d x + 2 \, c\right)} - b}{2 \, {\left(a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(8 \, c\right)} - a b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(6 \, c\right)} - a b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} d e^{\left(4 \, c\right)} - 11 \, a^{2} b d e^{\left(4 \, c\right)} + 3 \, a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \int -\frac{2 \, {\left(8 \, a e^{\left(4 \, c\right)} - 5 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - b e^{\left(6 \, d x + 6 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)}}{a^{2} b - a b^{2} + {\left(a^{2} b e^{\left(8 \, c\right)} - a b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(6 \, c\right)} - a b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} e^{\left(4 \, c\right)} - 11 \, a^{2} b e^{\left(4 \, c\right)} + 3 \, a b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b e^{\left(2 \, c\right)} - a b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*((8*a*e^(4*c) - 3*b*e^(4*c))*e^(4*d*x) - b*e^(6*d*x + 6*c) + 5*b*e^(2*d*x + 2*c) - b)/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(8*c) - a*b^2*d*e^(8*c))*e^(8*d*x) - 4*(a^2*b*d*e^(6*c) - a*b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^3*d*e^(4*c) - 11*a^2*b*d*e^(4*c) + 3*a*b^2*d*e^(4*c))*e^(4*d*x) - 4*(a^2*b*d*e^(2*c) - a*b^2*d*e^(2*c))*e^(2*d*x)) + integrate(-(2*(8*a*e^(4*c) - 5*b*e^(4*c))*e^(4*d*x) - b*e^(6*d*x + 6*c) - b*e^(2*d*x + 2*c))/(a^2*b - a*b^2 + (a^2*b*e^(8*c) - a*b^2*e^(8*c))*e^(8*d*x) - 4*(a^2*b*e^(6*c) - a*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^3*e^(4*c) - 11*a^2*b*e^(4*c) + 3*a*b^2*e^(4*c))*e^(4*d*x) - 4*(a^2*b*e^(2*c) - a*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
252,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{4 \, a b - 5 \, b^{2} + {\left(6 \, a b e^{\left(8 \, c\right)} - 5 \, b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 2 \, {\left(13 \, a b e^{\left(6 \, c\right)} - 10 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(32 \, a^{2} e^{\left(4 \, c\right)} - 47 \, a b e^{\left(4 \, c\right)} + 15 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(7 \, a b e^{\left(2 \, c\right)} - 10 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{2 \, {\left(a^{3} b d - a^{2} b^{2} d - {\left(a^{3} b d e^{\left(10 \, c\right)} - a^{2} b^{2} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 5 \, {\left(a^{3} b d e^{\left(8 \, c\right)} - a^{2} b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 2 \, {\left(8 \, a^{4} d e^{\left(6 \, c\right)} - 13 \, a^{3} b d e^{\left(6 \, c\right)} + 5 \, a^{2} b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} d e^{\left(4 \, c\right)} - 13 \, a^{3} b d e^{\left(4 \, c\right)} + 5 \, a^{2} b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 5 \, {\left(a^{3} b d e^{\left(2 \, c\right)} - a^{2} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - 4 \, \int \frac{{\left(6 \, a b e^{\left(6 \, c\right)} - 5 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a b e^{\left(4 \, c\right)} - 5 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(6 \, a b e^{\left(2 \, c\right)} - 5 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{4 \, {\left(a^{3} b - a^{2} b^{2} + {\left(a^{3} b e^{\left(8 \, c\right)} - a^{2} b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(6 \, c\right)} - a^{2} b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} e^{\left(4 \, c\right)} - 11 \, a^{3} b e^{\left(4 \, c\right)} + 3 \, a^{2} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(2 \, c\right)} - a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/2*(4*a*b - 5*b^2 + (6*a*b*e^(8*c) - 5*b^2*e^(8*c))*e^(8*d*x) - 2*(13*a*b*e^(6*c) - 10*b^2*e^(6*c))*e^(6*d*x) - 2*(32*a^2*e^(4*c) - 47*a*b*e^(4*c) + 15*b^2*e^(4*c))*e^(4*d*x) - 2*(7*a*b*e^(2*c) - 10*b^2*e^(2*c))*e^(2*d*x))/(a^3*b*d - a^2*b^2*d - (a^3*b*d*e^(10*c) - a^2*b^2*d*e^(10*c))*e^(10*d*x) + 5*(a^3*b*d*e^(8*c) - a^2*b^2*d*e^(8*c))*e^(8*d*x) + 2*(8*a^4*d*e^(6*c) - 13*a^3*b*d*e^(6*c) + 5*a^2*b^2*d*e^(6*c))*e^(6*d*x) - 2*(8*a^4*d*e^(4*c) - 13*a^3*b*d*e^(4*c) + 5*a^2*b^2*d*e^(4*c))*e^(4*d*x) - 5*(a^3*b*d*e^(2*c) - a^2*b^2*d*e^(2*c))*e^(2*d*x)) - 4*integrate(1/4*((6*a*b*e^(6*c) - 5*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a*b*e^(4*c) - 5*b^2*e^(4*c))*e^(4*d*x) + (6*a*b*e^(2*c) - 5*b^2*e^(2*c))*e^(2*d*x))/(a^3*b - a^2*b^2 + (a^3*b*e^(8*c) - a^2*b^2*e^(8*c))*e^(8*d*x) - 4*(a^3*b*e^(6*c) - a^2*b^2*e^(6*c))*e^(6*d*x) - 2*(8*a^4*e^(4*c) - 11*a^3*b*e^(4*c) + 3*a^2*b^2*e^(4*c))*e^(4*d*x) - 4*(a^3*b*e^(2*c) - a^2*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
253,-1,0,0,0.000000," ","integrate(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,0,0,0,0.000000," ","integrate(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(a b e^{\left(15 \, c\right)} - 3 \, b^{2} e^{\left(15 \, c\right)}\right)} e^{\left(15 \, d x\right)} - {\left(23 \, a b e^{\left(13 \, c\right)} - 77 \, b^{2} e^{\left(13 \, c\right)}\right)} e^{\left(13 \, d x\right)} + {\left(16 \, a^{2} e^{\left(11 \, c\right)} + 131 \, a b e^{\left(11 \, c\right)} - 177 \, b^{2} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} - {\left(144 \, a^{2} e^{\left(9 \, c\right)} + 367 \, a b e^{\left(9 \, c\right)} - 109 \, b^{2} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} - {\left(144 \, a^{2} e^{\left(7 \, c\right)} + 367 \, a b e^{\left(7 \, c\right)} - 109 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(16 \, a^{2} e^{\left(5 \, c\right)} + 131 \, a b e^{\left(5 \, c\right)} - 177 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(23 \, a b e^{\left(3 \, c\right)} - 77 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 3 \, {\left(a b e^{c} - 3 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{16 \, {\left(a^{2} b^{3} d - 2 \, a b^{4} d + b^{5} d + {\left(a^{2} b^{3} d e^{\left(16 \, c\right)} - 2 \, a b^{4} d e^{\left(16 \, c\right)} + b^{5} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{2} b^{3} d e^{\left(14 \, c\right)} - 2 \, a b^{4} d e^{\left(14 \, c\right)} + b^{5} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{3} b^{2} d e^{\left(12 \, c\right)} - 23 \, a^{2} b^{3} d e^{\left(12 \, c\right)} + 22 \, a b^{4} d e^{\left(12 \, c\right)} - 7 \, b^{5} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{3} b^{2} d e^{\left(10 \, c\right)} - 39 \, a^{2} b^{3} d e^{\left(10 \, c\right)} + 30 \, a b^{4} d e^{\left(10 \, c\right)} - 7 \, b^{5} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{4} b d e^{\left(8 \, c\right)} - 352 \, a^{3} b^{2} d e^{\left(8 \, c\right)} + 355 \, a^{2} b^{3} d e^{\left(8 \, c\right)} - 166 \, a b^{4} d e^{\left(8 \, c\right)} + 35 \, b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{3} b^{2} d e^{\left(6 \, c\right)} - 39 \, a^{2} b^{3} d e^{\left(6 \, c\right)} + 30 \, a b^{4} d e^{\left(6 \, c\right)} - 7 \, b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{3} b^{2} d e^{\left(4 \, c\right)} - 23 \, a^{2} b^{3} d e^{\left(4 \, c\right)} + 22 \, a b^{4} d e^{\left(4 \, c\right)} - 7 \, b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{2} b^{3} d e^{\left(2 \, c\right)} - 2 \, a b^{4} d e^{\left(2 \, c\right)} + b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{128} \, \int \frac{24 \, {\left({\left(a e^{\left(7 \, c\right)} - 3 \, b e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(3 \, a e^{\left(5 \, c\right)} - 17 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(3 \, a e^{\left(3 \, c\right)} - 17 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a e^{c} - 3 \, b e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} - 2 \, a b^{3} + b^{4} + {\left(a^{2} b^{2} e^{\left(8 \, c\right)} - 2 \, a b^{3} e^{\left(8 \, c\right)} + b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b^{2} e^{\left(6 \, c\right)} - 2 \, a b^{3} e^{\left(6 \, c\right)} + b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} b e^{\left(4 \, c\right)} - 19 \, a^{2} b^{2} e^{\left(4 \, c\right)} + 14 \, a b^{3} e^{\left(4 \, c\right)} - 3 \, b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b^{2} e^{\left(2 \, c\right)} - 2 \, a b^{3} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/16*(3*(a*b*e^(15*c) - 3*b^2*e^(15*c))*e^(15*d*x) - (23*a*b*e^(13*c) - 77*b^2*e^(13*c))*e^(13*d*x) + (16*a^2*e^(11*c) + 131*a*b*e^(11*c) - 177*b^2*e^(11*c))*e^(11*d*x) - (144*a^2*e^(9*c) + 367*a*b*e^(9*c) - 109*b^2*e^(9*c))*e^(9*d*x) - (144*a^2*e^(7*c) + 367*a*b*e^(7*c) - 109*b^2*e^(7*c))*e^(7*d*x) + (16*a^2*e^(5*c) + 131*a*b*e^(5*c) - 177*b^2*e^(5*c))*e^(5*d*x) - (23*a*b*e^(3*c) - 77*b^2*e^(3*c))*e^(3*d*x) + 3*(a*b*e^c - 3*b^2*e^c)*e^(d*x))/(a^2*b^3*d - 2*a*b^4*d + b^5*d + (a^2*b^3*d*e^(16*c) - 2*a*b^4*d*e^(16*c) + b^5*d*e^(16*c))*e^(16*d*x) - 8*(a^2*b^3*d*e^(14*c) - 2*a*b^4*d*e^(14*c) + b^5*d*e^(14*c))*e^(14*d*x) - 4*(8*a^3*b^2*d*e^(12*c) - 23*a^2*b^3*d*e^(12*c) + 22*a*b^4*d*e^(12*c) - 7*b^5*d*e^(12*c))*e^(12*d*x) + 8*(16*a^3*b^2*d*e^(10*c) - 39*a^2*b^3*d*e^(10*c) + 30*a*b^4*d*e^(10*c) - 7*b^5*d*e^(10*c))*e^(10*d*x) + 2*(128*a^4*b*d*e^(8*c) - 352*a^3*b^2*d*e^(8*c) + 355*a^2*b^3*d*e^(8*c) - 166*a*b^4*d*e^(8*c) + 35*b^5*d*e^(8*c))*e^(8*d*x) + 8*(16*a^3*b^2*d*e^(6*c) - 39*a^2*b^3*d*e^(6*c) + 30*a*b^4*d*e^(6*c) - 7*b^5*d*e^(6*c))*e^(6*d*x) - 4*(8*a^3*b^2*d*e^(4*c) - 23*a^2*b^3*d*e^(4*c) + 22*a*b^4*d*e^(4*c) - 7*b^5*d*e^(4*c))*e^(4*d*x) - 8*(a^2*b^3*d*e^(2*c) - 2*a*b^4*d*e^(2*c) + b^5*d*e^(2*c))*e^(2*d*x)) + 1/128*integrate(24*((a*e^(7*c) - 3*b*e^(7*c))*e^(7*d*x) - (3*a*e^(5*c) - 17*b*e^(5*c))*e^(5*d*x) + (3*a*e^(3*c) - 17*b*e^(3*c))*e^(3*d*x) - (a*e^c - 3*b*e^c)*e^(d*x))/(a^2*b^2 - 2*a*b^3 + b^4 + (a^2*b^2*e^(8*c) - 2*a*b^3*e^(8*c) + b^4*e^(8*c))*e^(8*d*x) - 4*(a^2*b^2*e^(6*c) - 2*a*b^3*e^(6*c) + b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^3*b*e^(4*c) - 19*a^2*b^2*e^(4*c) + 14*a*b^3*e^(4*c) - 3*b^4*e^(4*c))*e^(4*d*x) - 4*(a^2*b^2*e^(2*c) - 2*a*b^3*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x)","F",0
255,0,0,0,0.000000," ","integrate(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{{\left(2 \, a b^{2} e^{\left(15 \, c\right)} + b^{3} e^{\left(15 \, c\right)}\right)} e^{\left(15 \, d x\right)} + {\left(2 \, a^{2} b e^{\left(13 \, c\right)} - 24 \, a b^{2} e^{\left(13 \, c\right)} - 5 \, b^{3} e^{\left(13 \, c\right)}\right)} e^{\left(13 \, d x\right)} - {\left(70 \, a^{2} b e^{\left(11 \, c\right)} - 76 \, a b^{2} e^{\left(11 \, c\right)} - 9 \, b^{3} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(96 \, a^{3} e^{\left(9 \, c\right)} + 164 \, a^{2} b e^{\left(9 \, c\right)} - 54 \, a b^{2} e^{\left(9 \, c\right)} - 5 \, b^{3} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + {\left(96 \, a^{3} e^{\left(7 \, c\right)} + 164 \, a^{2} b e^{\left(7 \, c\right)} - 54 \, a b^{2} e^{\left(7 \, c\right)} - 5 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(70 \, a^{2} b e^{\left(5 \, c\right)} - 76 \, a b^{2} e^{\left(5 \, c\right)} - 9 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(2 \, a^{2} b e^{\left(3 \, c\right)} - 24 \, a b^{2} e^{\left(3 \, c\right)} - 5 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, a b^{2} e^{c} + b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{3} b^{3} d - 2 \, a^{2} b^{4} d + a b^{5} d + {\left(a^{3} b^{3} d e^{\left(16 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(16 \, c\right)} + a b^{5} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(14 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(14 \, c\right)} + a b^{5} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(12 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(12 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(12 \, c\right)} - 7 \, a b^{5} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(10 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(10 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(10 \, c\right)} - 7 \, a b^{5} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{5} b d e^{\left(8 \, c\right)} - 352 \, a^{4} b^{2} d e^{\left(8 \, c\right)} + 355 \, a^{3} b^{3} d e^{\left(8 \, c\right)} - 166 \, a^{2} b^{4} d e^{\left(8 \, c\right)} + 35 \, a b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(6 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(6 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(6 \, c\right)} - 7 \, a b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(4 \, c\right)} - 7 \, a b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(2 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(2 \, c\right)} + a b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{32} \, \int \frac{4 \, {\left({\left(2 \, a b e^{\left(7 \, c\right)} + b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(6 \, a^{2} e^{\left(5 \, c\right)} - 32 \, a b e^{\left(5 \, c\right)} + 5 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(6 \, a^{2} e^{\left(3 \, c\right)} - 32 \, a b e^{\left(3 \, c\right)} + 5 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a b e^{c} + b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + {\left(a^{3} b^{2} e^{\left(8 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(8 \, c\right)} + a b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b^{2} e^{\left(6 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(6 \, c\right)} + a b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} b e^{\left(4 \, c\right)} - 19 \, a^{3} b^{2} e^{\left(4 \, c\right)} + 14 \, a^{2} b^{3} e^{\left(4 \, c\right)} - 3 \, a b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b^{2} e^{\left(2 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + a b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/8*((2*a*b^2*e^(15*c) + b^3*e^(15*c))*e^(15*d*x) + (2*a^2*b*e^(13*c) - 24*a*b^2*e^(13*c) - 5*b^3*e^(13*c))*e^(13*d*x) - (70*a^2*b*e^(11*c) - 76*a*b^2*e^(11*c) - 9*b^3*e^(11*c))*e^(11*d*x) + (96*a^3*e^(9*c) + 164*a^2*b*e^(9*c) - 54*a*b^2*e^(9*c) - 5*b^3*e^(9*c))*e^(9*d*x) + (96*a^3*e^(7*c) + 164*a^2*b*e^(7*c) - 54*a*b^2*e^(7*c) - 5*b^3*e^(7*c))*e^(7*d*x) - (70*a^2*b*e^(5*c) - 76*a*b^2*e^(5*c) - 9*b^3*e^(5*c))*e^(5*d*x) + (2*a^2*b*e^(3*c) - 24*a*b^2*e^(3*c) - 5*b^3*e^(3*c))*e^(3*d*x) + (2*a*b^2*e^c + b^3*e^c)*e^(d*x))/(a^3*b^3*d - 2*a^2*b^4*d + a*b^5*d + (a^3*b^3*d*e^(16*c) - 2*a^2*b^4*d*e^(16*c) + a*b^5*d*e^(16*c))*e^(16*d*x) - 8*(a^3*b^3*d*e^(14*c) - 2*a^2*b^4*d*e^(14*c) + a*b^5*d*e^(14*c))*e^(14*d*x) - 4*(8*a^4*b^2*d*e^(12*c) - 23*a^3*b^3*d*e^(12*c) + 22*a^2*b^4*d*e^(12*c) - 7*a*b^5*d*e^(12*c))*e^(12*d*x) + 8*(16*a^4*b^2*d*e^(10*c) - 39*a^3*b^3*d*e^(10*c) + 30*a^2*b^4*d*e^(10*c) - 7*a*b^5*d*e^(10*c))*e^(10*d*x) + 2*(128*a^5*b*d*e^(8*c) - 352*a^4*b^2*d*e^(8*c) + 355*a^3*b^3*d*e^(8*c) - 166*a^2*b^4*d*e^(8*c) + 35*a*b^5*d*e^(8*c))*e^(8*d*x) + 8*(16*a^4*b^2*d*e^(6*c) - 39*a^3*b^3*d*e^(6*c) + 30*a^2*b^4*d*e^(6*c) - 7*a*b^5*d*e^(6*c))*e^(6*d*x) - 4*(8*a^4*b^2*d*e^(4*c) - 23*a^3*b^3*d*e^(4*c) + 22*a^2*b^4*d*e^(4*c) - 7*a*b^5*d*e^(4*c))*e^(4*d*x) - 8*(a^3*b^3*d*e^(2*c) - 2*a^2*b^4*d*e^(2*c) + a*b^5*d*e^(2*c))*e^(2*d*x)) + 1/32*integrate(4*((2*a*b*e^(7*c) + b^2*e^(7*c))*e^(7*d*x) + (6*a^2*e^(5*c) - 32*a*b*e^(5*c) + 5*b^2*e^(5*c))*e^(5*d*x) - (6*a^2*e^(3*c) - 32*a*b*e^(3*c) + 5*b^2*e^(3*c))*e^(3*d*x) - (2*a*b*e^c + b^2*e^c)*e^(d*x))/(a^3*b^2 - 2*a^2*b^3 + a*b^4 + (a^3*b^2*e^(8*c) - 2*a^2*b^3*e^(8*c) + a*b^4*e^(8*c))*e^(8*d*x) - 4*(a^3*b^2*e^(6*c) - 2*a^2*b^3*e^(6*c) + a*b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^4*b*e^(4*c) - 19*a^3*b^2*e^(4*c) + 14*a^2*b^3*e^(4*c) - 3*a*b^4*e^(4*c))*e^(4*d*x) - 4*(a^3*b^2*e^(2*c) - 2*a^2*b^3*e^(2*c) + a*b^4*e^(2*c))*e^(2*d*x)), x)","F",0
256,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, a b e^{\left(15 \, c\right)} + b^{2} e^{\left(15 \, c\right)}\right)} e^{\left(15 \, d x\right)} - {\left(49 \, a b e^{\left(13 \, c\right)} + 5 \, b^{2} e^{\left(13 \, c\right)}\right)} e^{\left(13 \, d x\right)} - 3 \, {\left(48 \, a^{2} e^{\left(11 \, c\right)} - 55 \, a b e^{\left(11 \, c\right)} - 3 \, b^{2} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(784 \, a^{2} e^{\left(9 \, c\right)} - 377 \, a b e^{\left(9 \, c\right)} - 5 \, b^{2} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + {\left(784 \, a^{2} e^{\left(7 \, c\right)} - 377 \, a b e^{\left(7 \, c\right)} - 5 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - 3 \, {\left(48 \, a^{2} e^{\left(5 \, c\right)} - 55 \, a b e^{\left(5 \, c\right)} - 3 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(49 \, a b e^{\left(3 \, c\right)} + 5 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(5 \, a b e^{c} + b^{2} e^{c}\right)} e^{\left(d x\right)}}{16 \, {\left(a^{3} b^{2} d - 2 \, a^{2} b^{3} d + a b^{4} d + {\left(a^{3} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{2} b^{3} d e^{\left(16 \, c\right)} + a b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{3} b^{2} d e^{\left(14 \, c\right)} - 2 \, a^{2} b^{3} d e^{\left(14 \, c\right)} + a b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{4} b d e^{\left(12 \, c\right)} - 23 \, a^{3} b^{2} d e^{\left(12 \, c\right)} + 22 \, a^{2} b^{3} d e^{\left(12 \, c\right)} - 7 \, a b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{4} b d e^{\left(10 \, c\right)} - 39 \, a^{3} b^{2} d e^{\left(10 \, c\right)} + 30 \, a^{2} b^{3} d e^{\left(10 \, c\right)} - 7 \, a b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{5} d e^{\left(8 \, c\right)} - 352 \, a^{4} b d e^{\left(8 \, c\right)} + 355 \, a^{3} b^{2} d e^{\left(8 \, c\right)} - 166 \, a^{2} b^{3} d e^{\left(8 \, c\right)} + 35 \, a b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{4} b d e^{\left(6 \, c\right)} - 39 \, a^{3} b^{2} d e^{\left(6 \, c\right)} + 30 \, a^{2} b^{3} d e^{\left(6 \, c\right)} - 7 \, a b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{4} b d e^{\left(4 \, c\right)} - 23 \, a^{3} b^{2} d e^{\left(4 \, c\right)} + 22 \, a^{2} b^{3} d e^{\left(4 \, c\right)} - 7 \, a b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{3} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{2} b^{3} d e^{\left(2 \, c\right)} + a b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{1}{8} \, \int \frac{{\left(5 \, a e^{\left(7 \, c\right)} + b e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(47 \, a e^{\left(5 \, c\right)} - 5 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(47 \, a e^{\left(3 \, c\right)} - 5 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, a e^{c} + b e^{c}\right)} e^{\left(d x\right)}}{2 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3} + {\left(a^{3} b e^{\left(8 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(8 \, c\right)} + a b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(6 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(6 \, c\right)} + a b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} e^{\left(4 \, c\right)} - 19 \, a^{3} b e^{\left(4 \, c\right)} + 14 \, a^{2} b^{2} e^{\left(4 \, c\right)} - 3 \, a b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(2 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/16*((5*a*b*e^(15*c) + b^2*e^(15*c))*e^(15*d*x) - (49*a*b*e^(13*c) + 5*b^2*e^(13*c))*e^(13*d*x) - 3*(48*a^2*e^(11*c) - 55*a*b*e^(11*c) - 3*b^2*e^(11*c))*e^(11*d*x) + (784*a^2*e^(9*c) - 377*a*b*e^(9*c) - 5*b^2*e^(9*c))*e^(9*d*x) + (784*a^2*e^(7*c) - 377*a*b*e^(7*c) - 5*b^2*e^(7*c))*e^(7*d*x) - 3*(48*a^2*e^(5*c) - 55*a*b*e^(5*c) - 3*b^2*e^(5*c))*e^(5*d*x) - (49*a*b*e^(3*c) + 5*b^2*e^(3*c))*e^(3*d*x) + (5*a*b*e^c + b^2*e^c)*e^(d*x))/(a^3*b^2*d - 2*a^2*b^3*d + a*b^4*d + (a^3*b^2*d*e^(16*c) - 2*a^2*b^3*d*e^(16*c) + a*b^4*d*e^(16*c))*e^(16*d*x) - 8*(a^3*b^2*d*e^(14*c) - 2*a^2*b^3*d*e^(14*c) + a*b^4*d*e^(14*c))*e^(14*d*x) - 4*(8*a^4*b*d*e^(12*c) - 23*a^3*b^2*d*e^(12*c) + 22*a^2*b^3*d*e^(12*c) - 7*a*b^4*d*e^(12*c))*e^(12*d*x) + 8*(16*a^4*b*d*e^(10*c) - 39*a^3*b^2*d*e^(10*c) + 30*a^2*b^3*d*e^(10*c) - 7*a*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^5*d*e^(8*c) - 352*a^4*b*d*e^(8*c) + 355*a^3*b^2*d*e^(8*c) - 166*a^2*b^3*d*e^(8*c) + 35*a*b^4*d*e^(8*c))*e^(8*d*x) + 8*(16*a^4*b*d*e^(6*c) - 39*a^3*b^2*d*e^(6*c) + 30*a^2*b^3*d*e^(6*c) - 7*a*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^4*b*d*e^(4*c) - 23*a^3*b^2*d*e^(4*c) + 22*a^2*b^3*d*e^(4*c) - 7*a*b^4*d*e^(4*c))*e^(4*d*x) - 8*(a^3*b^2*d*e^(2*c) - 2*a^2*b^3*d*e^(2*c) + a*b^4*d*e^(2*c))*e^(2*d*x)) - 1/8*integrate(1/2*((5*a*e^(7*c) + b*e^(7*c))*e^(7*d*x) - (47*a*e^(5*c) - 5*b*e^(5*c))*e^(5*d*x) + (47*a*e^(3*c) - 5*b*e^(3*c))*e^(3*d*x) - (5*a*e^c + b*e^c)*e^(d*x))/(a^3*b - 2*a^2*b^2 + a*b^3 + (a^3*b*e^(8*c) - 2*a^2*b^2*e^(8*c) + a*b^3*e^(8*c))*e^(8*d*x) - 4*(a^3*b*e^(6*c) - 2*a^2*b^2*e^(6*c) + a*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^4*e^(4*c) - 19*a^3*b*e^(4*c) + 14*a^2*b^2*e^(4*c) - 3*a*b^3*e^(4*c))*e^(4*d*x) - 4*(a^3*b*e^(2*c) - 2*a^2*b^2*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
257,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(2 \, a b^{2} e^{\left(15 \, c\right)} - b^{3} e^{\left(15 \, c\right)}\right)} e^{\left(15 \, d x\right)} - {\left(14 \, a^{2} b e^{\left(13 \, c\right)} + 28 \, a b^{2} e^{\left(13 \, c\right)} - 15 \, b^{3} e^{\left(13 \, c\right)}\right)} e^{\left(13 \, d x\right)} - {\left(86 \, a^{2} b e^{\left(11 \, c\right)} - 128 \, a b^{2} e^{\left(11 \, c\right)} + 27 \, b^{3} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(352 \, a^{3} e^{\left(9 \, c\right)} - 60 \, a^{2} b e^{\left(9 \, c\right)} - 106 \, a b^{2} e^{\left(9 \, c\right)} + 15 \, b^{3} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + {\left(352 \, a^{3} e^{\left(7 \, c\right)} - 60 \, a^{2} b e^{\left(7 \, c\right)} - 106 \, a b^{2} e^{\left(7 \, c\right)} + 15 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(86 \, a^{2} b e^{\left(5 \, c\right)} - 128 \, a b^{2} e^{\left(5 \, c\right)} + 27 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(14 \, a^{2} b e^{\left(3 \, c\right)} + 28 \, a b^{2} e^{\left(3 \, c\right)} - 15 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 3 \, {\left(2 \, a b^{2} e^{c} - b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(16 \, c\right)} + a^{2} b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(14 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(14 \, c\right)} + a^{2} b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(12 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(12 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(12 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(10 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(10 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(10 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{6} d e^{\left(8 \, c\right)} - 352 \, a^{5} b d e^{\left(8 \, c\right)} + 355 \, a^{4} b^{2} d e^{\left(8 \, c\right)} - 166 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + 35 \, a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(6 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(4 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(4 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(4 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(2 \, c\right)} + a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{2} \, \int \frac{3 \, {\left({\left(2 \, a b e^{\left(7 \, c\right)} - b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(14 \, a^{2} e^{\left(5 \, c\right)} - 12 \, a b e^{\left(5 \, c\right)} + 5 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(14 \, a^{2} e^{\left(3 \, c\right)} - 12 \, a b e^{\left(3 \, c\right)} + 5 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a b e^{c} - b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{4 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3} + {\left(a^{4} b e^{\left(8 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(8 \, c\right)} + a^{2} b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(6 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(6 \, c\right)} + a^{2} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{5} e^{\left(4 \, c\right)} - 19 \, a^{4} b e^{\left(4 \, c\right)} + 14 \, a^{3} b^{2} e^{\left(4 \, c\right)} - 3 \, a^{2} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(2 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/8*(3*(2*a*b^2*e^(15*c) - b^3*e^(15*c))*e^(15*d*x) - (14*a^2*b*e^(13*c) + 28*a*b^2*e^(13*c) - 15*b^3*e^(13*c))*e^(13*d*x) - (86*a^2*b*e^(11*c) - 128*a*b^2*e^(11*c) + 27*b^3*e^(11*c))*e^(11*d*x) + (352*a^3*e^(9*c) - 60*a^2*b*e^(9*c) - 106*a*b^2*e^(9*c) + 15*b^3*e^(9*c))*e^(9*d*x) + (352*a^3*e^(7*c) - 60*a^2*b*e^(7*c) - 106*a*b^2*e^(7*c) + 15*b^3*e^(7*c))*e^(7*d*x) - (86*a^2*b*e^(5*c) - 128*a*b^2*e^(5*c) + 27*b^3*e^(5*c))*e^(5*d*x) - (14*a^2*b*e^(3*c) + 28*a*b^2*e^(3*c) - 15*b^3*e^(3*c))*e^(3*d*x) + 3*(2*a*b^2*e^c - b^3*e^c)*e^(d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(16*c) - 2*a^3*b^3*d*e^(16*c) + a^2*b^4*d*e^(16*c))*e^(16*d*x) - 8*(a^4*b^2*d*e^(14*c) - 2*a^3*b^3*d*e^(14*c) + a^2*b^4*d*e^(14*c))*e^(14*d*x) - 4*(8*a^5*b*d*e^(12*c) - 23*a^4*b^2*d*e^(12*c) + 22*a^3*b^3*d*e^(12*c) - 7*a^2*b^4*d*e^(12*c))*e^(12*d*x) + 8*(16*a^5*b*d*e^(10*c) - 39*a^4*b^2*d*e^(10*c) + 30*a^3*b^3*d*e^(10*c) - 7*a^2*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^6*d*e^(8*c) - 352*a^5*b*d*e^(8*c) + 355*a^4*b^2*d*e^(8*c) - 166*a^3*b^3*d*e^(8*c) + 35*a^2*b^4*d*e^(8*c))*e^(8*d*x) + 8*(16*a^5*b*d*e^(6*c) - 39*a^4*b^2*d*e^(6*c) + 30*a^3*b^3*d*e^(6*c) - 7*a^2*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^5*b*d*e^(4*c) - 23*a^4*b^2*d*e^(4*c) + 22*a^3*b^3*d*e^(4*c) - 7*a^2*b^4*d*e^(4*c))*e^(4*d*x) - 8*(a^4*b^2*d*e^(2*c) - 2*a^3*b^3*d*e^(2*c) + a^2*b^4*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(3/4*((2*a*b*e^(7*c) - b^2*e^(7*c))*e^(7*d*x) - (14*a^2*e^(5*c) - 12*a*b*e^(5*c) + 5*b^2*e^(5*c))*e^(5*d*x) + (14*a^2*e^(3*c) - 12*a*b*e^(3*c) + 5*b^2*e^(3*c))*e^(3*d*x) - (2*a*b*e^c - b^2*e^c)*e^(d*x))/(a^4*b - 2*a^3*b^2 + a^2*b^3 + (a^4*b*e^(8*c) - 2*a^3*b^2*e^(8*c) + a^2*b^3*e^(8*c))*e^(8*d*x) - 4*(a^4*b*e^(6*c) - 2*a^3*b^2*e^(6*c) + a^2*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^5*e^(4*c) - 19*a^4*b*e^(4*c) + 14*a^3*b^2*e^(4*c) - 3*a^2*b^3*e^(4*c))*e^(4*d*x) - 4*(a^4*b*e^(2*c) - 2*a^3*b^2*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
258,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, a b^{2} e^{\left(15 \, c\right)} - 7 \, b^{3} e^{\left(15 \, c\right)}\right)} e^{\left(15 \, d x\right)} - {\left(121 \, a b^{2} e^{\left(13 \, c\right)} - 67 \, b^{3} e^{\left(13 \, c\right)}\right)} e^{\left(13 \, d x\right)} - {\left(272 \, a^{2} b e^{\left(11 \, c\right)} - 461 \, a b^{2} e^{\left(11 \, c\right)} + 159 \, b^{3} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(1424 \, a^{2} b e^{\left(9 \, c\right)} - 1121 \, a b^{2} e^{\left(9 \, c\right)} + 99 \, b^{3} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + {\left(1424 \, a^{2} b e^{\left(7 \, c\right)} - 1121 \, a b^{2} e^{\left(7 \, c\right)} + 99 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(272 \, a^{2} b e^{\left(5 \, c\right)} - 461 \, a b^{2} e^{\left(5 \, c\right)} + 159 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(121 \, a b^{2} e^{\left(3 \, c\right)} - 67 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(13 \, a b^{2} e^{c} - 7 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{16 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(16 \, c\right)} + a^{2} b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(14 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(14 \, c\right)} + a^{2} b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(12 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(12 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(12 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(10 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(10 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(10 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{6} d e^{\left(8 \, c\right)} - 352 \, a^{5} b d e^{\left(8 \, c\right)} + 355 \, a^{4} b^{2} d e^{\left(8 \, c\right)} - 166 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + 35 \, a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(6 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(4 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(4 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(4 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(2 \, c\right)} + a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{\log\left({\left(e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a^{3} d} + \frac{\log\left({\left(e^{\left(d x + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{a^{3} d} - 2 \, \int \frac{{\left(45 \, a^{2} b e^{\left(7 \, c\right)} - 71 \, a b^{2} e^{\left(7 \, c\right)} + 32 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(199 \, a^{2} b e^{\left(5 \, c\right)} - 253 \, a b^{2} e^{\left(5 \, c\right)} + 96 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(199 \, a^{2} b e^{\left(3 \, c\right)} - 253 \, a b^{2} e^{\left(3 \, c\right)} + 96 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(45 \, a^{2} b e^{c} - 71 \, a b^{2} e^{c} + 32 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{32 \, {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3} + {\left(a^{5} b e^{\left(8 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(8 \, c\right)} + a^{3} b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{5} b e^{\left(6 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(6 \, c\right)} + a^{3} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{6} e^{\left(4 \, c\right)} - 19 \, a^{5} b e^{\left(4 \, c\right)} + 14 \, a^{4} b^{2} e^{\left(4 \, c\right)} - 3 \, a^{3} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{5} b e^{\left(2 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/16*((13*a*b^2*e^(15*c) - 7*b^3*e^(15*c))*e^(15*d*x) - (121*a*b^2*e^(13*c) - 67*b^3*e^(13*c))*e^(13*d*x) - (272*a^2*b*e^(11*c) - 461*a*b^2*e^(11*c) + 159*b^3*e^(11*c))*e^(11*d*x) + (1424*a^2*b*e^(9*c) - 1121*a*b^2*e^(9*c) + 99*b^3*e^(9*c))*e^(9*d*x) + (1424*a^2*b*e^(7*c) - 1121*a*b^2*e^(7*c) + 99*b^3*e^(7*c))*e^(7*d*x) - (272*a^2*b*e^(5*c) - 461*a*b^2*e^(5*c) + 159*b^3*e^(5*c))*e^(5*d*x) - (121*a*b^2*e^(3*c) - 67*b^3*e^(3*c))*e^(3*d*x) + (13*a*b^2*e^c - 7*b^3*e^c)*e^(d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(16*c) - 2*a^3*b^3*d*e^(16*c) + a^2*b^4*d*e^(16*c))*e^(16*d*x) - 8*(a^4*b^2*d*e^(14*c) - 2*a^3*b^3*d*e^(14*c) + a^2*b^4*d*e^(14*c))*e^(14*d*x) - 4*(8*a^5*b*d*e^(12*c) - 23*a^4*b^2*d*e^(12*c) + 22*a^3*b^3*d*e^(12*c) - 7*a^2*b^4*d*e^(12*c))*e^(12*d*x) + 8*(16*a^5*b*d*e^(10*c) - 39*a^4*b^2*d*e^(10*c) + 30*a^3*b^3*d*e^(10*c) - 7*a^2*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^6*d*e^(8*c) - 352*a^5*b*d*e^(8*c) + 355*a^4*b^2*d*e^(8*c) - 166*a^3*b^3*d*e^(8*c) + 35*a^2*b^4*d*e^(8*c))*e^(8*d*x) + 8*(16*a^5*b*d*e^(6*c) - 39*a^4*b^2*d*e^(6*c) + 30*a^3*b^3*d*e^(6*c) - 7*a^2*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^5*b*d*e^(4*c) - 23*a^4*b^2*d*e^(4*c) + 22*a^3*b^3*d*e^(4*c) - 7*a^2*b^4*d*e^(4*c))*e^(4*d*x) - 8*(a^4*b^2*d*e^(2*c) - 2*a^3*b^3*d*e^(2*c) + a^2*b^4*d*e^(2*c))*e^(2*d*x)) - log((e^(d*x + c) + 1)*e^(-c))/(a^3*d) + log((e^(d*x + c) - 1)*e^(-c))/(a^3*d) - 2*integrate(1/32*((45*a^2*b*e^(7*c) - 71*a*b^2*e^(7*c) + 32*b^3*e^(7*c))*e^(7*d*x) - (199*a^2*b*e^(5*c) - 253*a*b^2*e^(5*c) + 96*b^3*e^(5*c))*e^(5*d*x) + (199*a^2*b*e^(3*c) - 253*a*b^2*e^(3*c) + 96*b^3*e^(3*c))*e^(3*d*x) - (45*a^2*b*e^c - 71*a*b^2*e^c + 32*b^3*e^c)*e^(d*x))/(a^5*b - 2*a^4*b^2 + a^3*b^3 + (a^5*b*e^(8*c) - 2*a^4*b^2*e^(8*c) + a^3*b^3*e^(8*c))*e^(8*d*x) - 4*(a^5*b*e^(6*c) - 2*a^4*b^2*e^(6*c) + a^3*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^6*e^(4*c) - 19*a^5*b*e^(4*c) + 14*a^4*b^2*e^(4*c) - 3*a^3*b^3*e^(4*c))*e^(4*d*x) - 4*(a^5*b*e^(2*c) - 2*a^4*b^2*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
259,0,0,0,0.000000," ","integrate(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{2 \, a b^{2} - 5 \, b^{3} + {\left(a b^{2} e^{\left(14 \, c\right)} - 4 \, b^{3} e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - {\left(32 \, a^{2} b e^{\left(12 \, c\right)} - 58 \, a b^{2} e^{\left(12 \, c\right)} - b^{3} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 3 \, {\left(48 \, a^{2} b e^{\left(10 \, c\right)} - 73 \, a b^{2} e^{\left(10 \, c\right)} + 20 \, b^{3} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + {\left(256 \, a^{3} e^{\left(8 \, c\right)} - 832 \, a^{2} b e^{\left(8 \, c\right)} + 550 \, a b^{2} e^{\left(8 \, c\right)} - 175 \, b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + {\left(112 \, a^{2} b e^{\left(6 \, c\right)} - 533 \, a b^{2} e^{\left(6 \, c\right)} + 220 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(32 \, a^{2} b e^{\left(4 \, c\right)} - 158 \, a b^{2} e^{\left(4 \, c\right)} + 141 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(17 \, a b^{2} e^{\left(2 \, c\right)} - 44 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{8 \, {\left(a^{2} b^{4} d - 2 \, a b^{5} d + b^{6} d + {\left(a^{2} b^{4} d e^{\left(16 \, c\right)} - 2 \, a b^{5} d e^{\left(16 \, c\right)} + b^{6} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{2} b^{4} d e^{\left(14 \, c\right)} - 2 \, a b^{5} d e^{\left(14 \, c\right)} + b^{6} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{3} b^{3} d e^{\left(12 \, c\right)} - 23 \, a^{2} b^{4} d e^{\left(12 \, c\right)} + 22 \, a b^{5} d e^{\left(12 \, c\right)} - 7 \, b^{6} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{3} b^{3} d e^{\left(10 \, c\right)} - 39 \, a^{2} b^{4} d e^{\left(10 \, c\right)} + 30 \, a b^{5} d e^{\left(10 \, c\right)} - 7 \, b^{6} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{4} b^{2} d e^{\left(8 \, c\right)} - 352 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + 355 \, a^{2} b^{4} d e^{\left(8 \, c\right)} - 166 \, a b^{5} d e^{\left(8 \, c\right)} + 35 \, b^{6} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - 39 \, a^{2} b^{4} d e^{\left(6 \, c\right)} + 30 \, a b^{5} d e^{\left(6 \, c\right)} - 7 \, b^{6} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{3} b^{3} d e^{\left(4 \, c\right)} - 23 \, a^{2} b^{4} d e^{\left(4 \, c\right)} + 22 \, a b^{5} d e^{\left(4 \, c\right)} - 7 \, b^{6} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{2} b^{4} d e^{\left(2 \, c\right)} - 2 \, a b^{5} d e^{\left(2 \, c\right)} + b^{6} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{1}{256} \, \int \frac{64 \, {\left({\left(a e^{\left(6 \, c\right)} - 4 \, b e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + {\left(a e^{\left(2 \, c\right)} - 4 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 18 \, b e^{\left(4 \, d x + 4 \, c\right)}\right)}}{a^{2} b^{2} - 2 \, a b^{3} + b^{4} + {\left(a^{2} b^{2} e^{\left(8 \, c\right)} - 2 \, a b^{3} e^{\left(8 \, c\right)} + b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{2} b^{2} e^{\left(6 \, c\right)} - 2 \, a b^{3} e^{\left(6 \, c\right)} + b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{3} b e^{\left(4 \, c\right)} - 19 \, a^{2} b^{2} e^{\left(4 \, c\right)} + 14 \, a b^{3} e^{\left(4 \, c\right)} - 3 \, b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{2} b^{2} e^{\left(2 \, c\right)} - 2 \, a b^{3} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/8*(2*a*b^2 - 5*b^3 + (a*b^2*e^(14*c) - 4*b^3*e^(14*c))*e^(14*d*x) - (32*a^2*b*e^(12*c) - 58*a*b^2*e^(12*c) - b^3*e^(12*c))*e^(12*d*x) + 3*(48*a^2*b*e^(10*c) - 73*a*b^2*e^(10*c) + 20*b^3*e^(10*c))*e^(10*d*x) + (256*a^3*e^(8*c) - 832*a^2*b*e^(8*c) + 550*a*b^2*e^(8*c) - 175*b^3*e^(8*c))*e^(8*d*x) + (112*a^2*b*e^(6*c) - 533*a*b^2*e^(6*c) + 220*b^3*e^(6*c))*e^(6*d*x) - (32*a^2*b*e^(4*c) - 158*a*b^2*e^(4*c) + 141*b^3*e^(4*c))*e^(4*d*x) - (17*a*b^2*e^(2*c) - 44*b^3*e^(2*c))*e^(2*d*x))/(a^2*b^4*d - 2*a*b^5*d + b^6*d + (a^2*b^4*d*e^(16*c) - 2*a*b^5*d*e^(16*c) + b^6*d*e^(16*c))*e^(16*d*x) - 8*(a^2*b^4*d*e^(14*c) - 2*a*b^5*d*e^(14*c) + b^6*d*e^(14*c))*e^(14*d*x) - 4*(8*a^3*b^3*d*e^(12*c) - 23*a^2*b^4*d*e^(12*c) + 22*a*b^5*d*e^(12*c) - 7*b^6*d*e^(12*c))*e^(12*d*x) + 8*(16*a^3*b^3*d*e^(10*c) - 39*a^2*b^4*d*e^(10*c) + 30*a*b^5*d*e^(10*c) - 7*b^6*d*e^(10*c))*e^(10*d*x) + 2*(128*a^4*b^2*d*e^(8*c) - 352*a^3*b^3*d*e^(8*c) + 355*a^2*b^4*d*e^(8*c) - 166*a*b^5*d*e^(8*c) + 35*b^6*d*e^(8*c))*e^(8*d*x) + 8*(16*a^3*b^3*d*e^(6*c) - 39*a^2*b^4*d*e^(6*c) + 30*a*b^5*d*e^(6*c) - 7*b^6*d*e^(6*c))*e^(6*d*x) - 4*(8*a^3*b^3*d*e^(4*c) - 23*a^2*b^4*d*e^(4*c) + 22*a*b^5*d*e^(4*c) - 7*b^6*d*e^(4*c))*e^(4*d*x) - 8*(a^2*b^4*d*e^(2*c) - 2*a*b^5*d*e^(2*c) + b^6*d*e^(2*c))*e^(2*d*x)) - 1/256*integrate(64*((a*e^(6*c) - 4*b*e^(6*c))*e^(6*d*x) + (a*e^(2*c) - 4*b*e^(2*c))*e^(2*d*x) + 18*b*e^(4*d*x + 4*c))/(a^2*b^2 - 2*a*b^3 + b^4 + (a^2*b^2*e^(8*c) - 2*a*b^3*e^(8*c) + b^4*e^(8*c))*e^(8*d*x) - 4*(a^2*b^2*e^(6*c) - 2*a*b^3*e^(6*c) + b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^3*b*e^(4*c) - 19*a^2*b^2*e^(4*c) + 14*a*b^3*e^(4*c) - 3*b^4*e^(4*c))*e^(4*d*x) - 4*(a^2*b^2*e^(2*c) - 2*a*b^3*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x)","F",0
260,0,0,0,0.000000," ","integrate(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{3 \, a b^{2} + 3 \, b^{3} - {\left(4 \, a^{2} b e^{\left(14 \, c\right)} - 13 \, a b^{2} e^{\left(14 \, c\right)} + 3 \, b^{3} e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} + 3 \, {\left(8 \, a^{2} b e^{\left(12 \, c\right)} - 33 \, a b^{2} e^{\left(12 \, c\right)} + 7 \, b^{3} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} - {\left(64 \, a^{3} e^{\left(10 \, c\right)} + 68 \, a^{2} b e^{\left(10 \, c\right)} - 225 \, a b^{2} e^{\left(10 \, c\right)} + 63 \, b^{3} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 3 \, {\left(128 \, a^{3} e^{\left(8 \, c\right)} + 32 \, a^{2} b e^{\left(8 \, c\right)} - 61 \, a b^{2} e^{\left(8 \, c\right)} + 35 \, b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + {\left(64 \, a^{3} e^{\left(6 \, c\right)} + 452 \, a^{2} b e^{\left(6 \, c\right)} - 9 \, a b^{2} e^{\left(6 \, c\right)} - 105 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 3 \, {\left(40 \, a^{2} b e^{\left(4 \, c\right)} - 29 \, a b^{2} e^{\left(4 \, c\right)} - 21 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(4 \, a^{2} b e^{\left(2 \, c\right)} - 37 \, a b^{2} e^{\left(2 \, c\right)} - 21 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{16 \, {\left(a^{3} b^{3} d - 2 \, a^{2} b^{4} d + a b^{5} d + {\left(a^{3} b^{3} d e^{\left(16 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(16 \, c\right)} + a b^{5} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(14 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(14 \, c\right)} + a b^{5} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(12 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(12 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(12 \, c\right)} - 7 \, a b^{5} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(10 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(10 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(10 \, c\right)} - 7 \, a b^{5} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{5} b d e^{\left(8 \, c\right)} - 352 \, a^{4} b^{2} d e^{\left(8 \, c\right)} + 355 \, a^{3} b^{3} d e^{\left(8 \, c\right)} - 166 \, a^{2} b^{4} d e^{\left(8 \, c\right)} + 35 \, a b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(6 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(6 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(6 \, c\right)} - 7 \, a b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(4 \, c\right)} - 7 \, a b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(2 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(2 \, c\right)} + a b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{64} \, \int \frac{8 \, {\left({\left(4 \, a^{2} e^{\left(6 \, c\right)} - 13 \, a b e^{\left(6 \, c\right)} + 3 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 6 \, {\left(7 \, a b e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(4 \, a^{2} e^{\left(2 \, c\right)} - 13 \, a b e^{\left(2 \, c\right)} + 3 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}{a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + {\left(a^{3} b^{2} e^{\left(8 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(8 \, c\right)} + a b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b^{2} e^{\left(6 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(6 \, c\right)} + a b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} b e^{\left(4 \, c\right)} - 19 \, a^{3} b^{2} e^{\left(4 \, c\right)} + 14 \, a^{2} b^{3} e^{\left(4 \, c\right)} - 3 \, a b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b^{2} e^{\left(2 \, c\right)} - 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + a b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/16*(3*a*b^2 + 3*b^3 - (4*a^2*b*e^(14*c) - 13*a*b^2*e^(14*c) + 3*b^3*e^(14*c))*e^(14*d*x) + 3*(8*a^2*b*e^(12*c) - 33*a*b^2*e^(12*c) + 7*b^3*e^(12*c))*e^(12*d*x) - (64*a^3*e^(10*c) + 68*a^2*b*e^(10*c) - 225*a*b^2*e^(10*c) + 63*b^3*e^(10*c))*e^(10*d*x) + 3*(128*a^3*e^(8*c) + 32*a^2*b*e^(8*c) - 61*a*b^2*e^(8*c) + 35*b^3*e^(8*c))*e^(8*d*x) + (64*a^3*e^(6*c) + 452*a^2*b*e^(6*c) - 9*a*b^2*e^(6*c) - 105*b^3*e^(6*c))*e^(6*d*x) - 3*(40*a^2*b*e^(4*c) - 29*a*b^2*e^(4*c) - 21*b^3*e^(4*c))*e^(4*d*x) + (4*a^2*b*e^(2*c) - 37*a*b^2*e^(2*c) - 21*b^3*e^(2*c))*e^(2*d*x))/(a^3*b^3*d - 2*a^2*b^4*d + a*b^5*d + (a^3*b^3*d*e^(16*c) - 2*a^2*b^4*d*e^(16*c) + a*b^5*d*e^(16*c))*e^(16*d*x) - 8*(a^3*b^3*d*e^(14*c) - 2*a^2*b^4*d*e^(14*c) + a*b^5*d*e^(14*c))*e^(14*d*x) - 4*(8*a^4*b^2*d*e^(12*c) - 23*a^3*b^3*d*e^(12*c) + 22*a^2*b^4*d*e^(12*c) - 7*a*b^5*d*e^(12*c))*e^(12*d*x) + 8*(16*a^4*b^2*d*e^(10*c) - 39*a^3*b^3*d*e^(10*c) + 30*a^2*b^4*d*e^(10*c) - 7*a*b^5*d*e^(10*c))*e^(10*d*x) + 2*(128*a^5*b*d*e^(8*c) - 352*a^4*b^2*d*e^(8*c) + 355*a^3*b^3*d*e^(8*c) - 166*a^2*b^4*d*e^(8*c) + 35*a*b^5*d*e^(8*c))*e^(8*d*x) + 8*(16*a^4*b^2*d*e^(6*c) - 39*a^3*b^3*d*e^(6*c) + 30*a^2*b^4*d*e^(6*c) - 7*a*b^5*d*e^(6*c))*e^(6*d*x) - 4*(8*a^4*b^2*d*e^(4*c) - 23*a^3*b^3*d*e^(4*c) + 22*a^2*b^4*d*e^(4*c) - 7*a*b^5*d*e^(4*c))*e^(4*d*x) - 8*(a^3*b^3*d*e^(2*c) - 2*a^2*b^4*d*e^(2*c) + a*b^5*d*e^(2*c))*e^(2*d*x)) + 1/64*integrate(8*((4*a^2*e^(6*c) - 13*a*b*e^(6*c) + 3*b^2*e^(6*c))*e^(6*d*x) + 6*(7*a*b*e^(4*c) - b^2*e^(4*c))*e^(4*d*x) + (4*a^2*e^(2*c) - 13*a*b*e^(2*c) + 3*b^2*e^(2*c))*e^(2*d*x))/(a^3*b^2 - 2*a^2*b^3 + a*b^4 + (a^3*b^2*e^(8*c) - 2*a^2*b^3*e^(8*c) + a*b^4*e^(8*c))*e^(8*d*x) - 4*(a^3*b^2*e^(6*c) - 2*a^2*b^3*e^(6*c) + a*b^4*e^(6*c))*e^(6*d*x) - 2*(8*a^4*b*e^(4*c) - 19*a^3*b^2*e^(4*c) + 14*a^2*b^3*e^(4*c) - 3*a*b^4*e^(4*c))*e^(4*d*x) - 4*(a^3*b^2*e^(2*c) - 2*a^2*b^3*e^(2*c) + a*b^4*e^(2*c))*e^(2*d*x)), x)","F",0
261,0,0,0,0.000000," ","integrate(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{3 \, a b^{2} e^{\left(14 \, d x + 14 \, c\right)} + 2 \, a b^{2} + b^{3} - 3 \, {\left(10 \, a b^{2} e^{\left(12 \, c\right)} - b^{3} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} - {\left(80 \, a^{2} b e^{\left(10 \, c\right)} - 111 \, a b^{2} e^{\left(10 \, c\right)} + 16 \, b^{3} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + {\left(256 \, a^{3} e^{\left(8 \, c\right)} - 64 \, a^{2} b e^{\left(8 \, c\right)} - 26 \, a b^{2} e^{\left(8 \, c\right)} + 35 \, b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + {\left(336 \, a^{2} b e^{\left(6 \, c\right)} - 95 \, a b^{2} e^{\left(6 \, c\right)} - 40 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(64 \, a^{2} b e^{\left(4 \, c\right)} - 54 \, a b^{2} e^{\left(4 \, c\right)} - 25 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(19 \, a b^{2} e^{\left(2 \, c\right)} + 8 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{8 \, {\left(a^{3} b^{3} d - 2 \, a^{2} b^{4} d + a b^{5} d + {\left(a^{3} b^{3} d e^{\left(16 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(16 \, c\right)} + a b^{5} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(14 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(14 \, c\right)} + a b^{5} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(12 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(12 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(12 \, c\right)} - 7 \, a b^{5} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(10 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(10 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(10 \, c\right)} - 7 \, a b^{5} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{5} b d e^{\left(8 \, c\right)} - 352 \, a^{4} b^{2} d e^{\left(8 \, c\right)} + 355 \, a^{3} b^{3} d e^{\left(8 \, c\right)} - 166 \, a^{2} b^{4} d e^{\left(8 \, c\right)} + 35 \, a b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{4} b^{2} d e^{\left(6 \, c\right)} - 39 \, a^{3} b^{3} d e^{\left(6 \, c\right)} + 30 \, a^{2} b^{4} d e^{\left(6 \, c\right)} - 7 \, a b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 23 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 22 \, a^{2} b^{4} d e^{\left(4 \, c\right)} - 7 \, a b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{3} b^{3} d e^{\left(2 \, c\right)} - 2 \, a^{2} b^{4} d e^{\left(2 \, c\right)} + a b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{16} \, \int -\frac{12 \, {\left(2 \, {\left(4 \, a e^{\left(4 \, c\right)} - b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - a e^{\left(6 \, d x + 6 \, c\right)} - a e^{\left(2 \, d x + 2 \, c\right)}\right)}}{a^{3} b - 2 \, a^{2} b^{2} + a b^{3} + {\left(a^{3} b e^{\left(8 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(8 \, c\right)} + a b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(6 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(6 \, c\right)} + a b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{4} e^{\left(4 \, c\right)} - 19 \, a^{3} b e^{\left(4 \, c\right)} + 14 \, a^{2} b^{2} e^{\left(4 \, c\right)} - 3 \, a b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{3} b e^{\left(2 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/8*(3*a*b^2*e^(14*d*x + 14*c) + 2*a*b^2 + b^3 - 3*(10*a*b^2*e^(12*c) - b^3*e^(12*c))*e^(12*d*x) - (80*a^2*b*e^(10*c) - 111*a*b^2*e^(10*c) + 16*b^3*e^(10*c))*e^(10*d*x) + (256*a^3*e^(8*c) - 64*a^2*b*e^(8*c) - 26*a*b^2*e^(8*c) + 35*b^3*e^(8*c))*e^(8*d*x) + (336*a^2*b*e^(6*c) - 95*a*b^2*e^(6*c) - 40*b^3*e^(6*c))*e^(6*d*x) - (64*a^2*b*e^(4*c) - 54*a*b^2*e^(4*c) - 25*b^3*e^(4*c))*e^(4*d*x) - (19*a*b^2*e^(2*c) + 8*b^3*e^(2*c))*e^(2*d*x))/(a^3*b^3*d - 2*a^2*b^4*d + a*b^5*d + (a^3*b^3*d*e^(16*c) - 2*a^2*b^4*d*e^(16*c) + a*b^5*d*e^(16*c))*e^(16*d*x) - 8*(a^3*b^3*d*e^(14*c) - 2*a^2*b^4*d*e^(14*c) + a*b^5*d*e^(14*c))*e^(14*d*x) - 4*(8*a^4*b^2*d*e^(12*c) - 23*a^3*b^3*d*e^(12*c) + 22*a^2*b^4*d*e^(12*c) - 7*a*b^5*d*e^(12*c))*e^(12*d*x) + 8*(16*a^4*b^2*d*e^(10*c) - 39*a^3*b^3*d*e^(10*c) + 30*a^2*b^4*d*e^(10*c) - 7*a*b^5*d*e^(10*c))*e^(10*d*x) + 2*(128*a^5*b*d*e^(8*c) - 352*a^4*b^2*d*e^(8*c) + 355*a^3*b^3*d*e^(8*c) - 166*a^2*b^4*d*e^(8*c) + 35*a*b^5*d*e^(8*c))*e^(8*d*x) + 8*(16*a^4*b^2*d*e^(6*c) - 39*a^3*b^3*d*e^(6*c) + 30*a^2*b^4*d*e^(6*c) - 7*a*b^5*d*e^(6*c))*e^(6*d*x) - 4*(8*a^4*b^2*d*e^(4*c) - 23*a^3*b^3*d*e^(4*c) + 22*a^2*b^4*d*e^(4*c) - 7*a*b^5*d*e^(4*c))*e^(4*d*x) - 8*(a^3*b^3*d*e^(2*c) - 2*a^2*b^4*d*e^(2*c) + a*b^5*d*e^(2*c))*e^(2*d*x)) + 1/16*integrate(-12*(2*(4*a*e^(4*c) - b*e^(4*c))*e^(4*d*x) - a*e^(6*d*x + 6*c) - a*e^(2*d*x + 2*c))/(a^3*b - 2*a^2*b^2 + a*b^3 + (a^3*b*e^(8*c) - 2*a^2*b^2*e^(8*c) + a*b^3*e^(8*c))*e^(8*d*x) - 4*(a^3*b*e^(6*c) - 2*a^2*b^2*e^(6*c) + a*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^4*e^(4*c) - 19*a^3*b*e^(4*c) + 14*a^2*b^2*e^(4*c) - 3*a*b^3*e^(4*c))*e^(4*d*x) - 4*(a^3*b*e^(2*c) - 2*a^2*b^2*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
262,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{11 \, a b^{2} - 5 \, b^{3} + {\left(12 \, a^{2} b e^{\left(14 \, c\right)} - 11 \, a b^{2} e^{\left(14 \, c\right)} + 5 \, b^{3} e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - {\left(104 \, a^{2} b e^{\left(12 \, c\right)} - 85 \, a b^{2} e^{\left(12 \, c\right)} + 35 \, b^{3} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} - {\left(320 \, a^{3} e^{\left(10 \, c\right)} - 652 \, a^{2} b e^{\left(10 \, c\right)} + 407 \, a b^{2} e^{\left(10 \, c\right)} - 105 \, b^{3} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + {\left(1408 \, a^{3} e^{\left(8 \, c\right)} - 1696 \, a^{2} b e^{\left(8 \, c\right)} + 865 \, a b^{2} e^{\left(8 \, c\right)} - 175 \, b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + {\left(320 \, a^{3} e^{\left(6 \, c\right)} + 756 \, a^{2} b e^{\left(6 \, c\right)} - 849 \, a b^{2} e^{\left(6 \, c\right)} + 175 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(248 \, a^{2} b e^{\left(4 \, c\right)} - 383 \, a b^{2} e^{\left(4 \, c\right)} + 105 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(12 \, a^{2} b e^{\left(2 \, c\right)} + 77 \, a b^{2} e^{\left(2 \, c\right)} - 35 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{16 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(16 \, c\right)} + a^{2} b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(14 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(14 \, c\right)} + a^{2} b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(12 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(12 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(12 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(10 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(10 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(10 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{6} d e^{\left(8 \, c\right)} - 352 \, a^{5} b d e^{\left(8 \, c\right)} + 355 \, a^{4} b^{2} d e^{\left(8 \, c\right)} - 166 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + 35 \, a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(6 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(4 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(4 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(4 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(2 \, c\right)} + a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \frac{1}{4} \, \int \frac{{\left(12 \, a^{2} e^{\left(6 \, c\right)} - 11 \, a b e^{\left(6 \, c\right)} + 5 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(32 \, a^{2} e^{\left(4 \, c\right)} - 19 \, a b e^{\left(4 \, c\right)} + 5 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(12 \, a^{2} e^{\left(2 \, c\right)} - 11 \, a b e^{\left(2 \, c\right)} + 5 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{2 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3} + {\left(a^{4} b e^{\left(8 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(8 \, c\right)} + a^{2} b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(6 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(6 \, c\right)} + a^{2} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{5} e^{\left(4 \, c\right)} - 19 \, a^{4} b e^{\left(4 \, c\right)} + 14 \, a^{3} b^{2} e^{\left(4 \, c\right)} - 3 \, a^{2} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(2 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/16*(11*a*b^2 - 5*b^3 + (12*a^2*b*e^(14*c) - 11*a*b^2*e^(14*c) + 5*b^3*e^(14*c))*e^(14*d*x) - (104*a^2*b*e^(12*c) - 85*a*b^2*e^(12*c) + 35*b^3*e^(12*c))*e^(12*d*x) - (320*a^3*e^(10*c) - 652*a^2*b*e^(10*c) + 407*a*b^2*e^(10*c) - 105*b^3*e^(10*c))*e^(10*d*x) + (1408*a^3*e^(8*c) - 1696*a^2*b*e^(8*c) + 865*a*b^2*e^(8*c) - 175*b^3*e^(8*c))*e^(8*d*x) + (320*a^3*e^(6*c) + 756*a^2*b*e^(6*c) - 849*a*b^2*e^(6*c) + 175*b^3*e^(6*c))*e^(6*d*x) - (248*a^2*b*e^(4*c) - 383*a*b^2*e^(4*c) + 105*b^3*e^(4*c))*e^(4*d*x) - (12*a^2*b*e^(2*c) + 77*a*b^2*e^(2*c) - 35*b^3*e^(2*c))*e^(2*d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(16*c) - 2*a^3*b^3*d*e^(16*c) + a^2*b^4*d*e^(16*c))*e^(16*d*x) - 8*(a^4*b^2*d*e^(14*c) - 2*a^3*b^3*d*e^(14*c) + a^2*b^4*d*e^(14*c))*e^(14*d*x) - 4*(8*a^5*b*d*e^(12*c) - 23*a^4*b^2*d*e^(12*c) + 22*a^3*b^3*d*e^(12*c) - 7*a^2*b^4*d*e^(12*c))*e^(12*d*x) + 8*(16*a^5*b*d*e^(10*c) - 39*a^4*b^2*d*e^(10*c) + 30*a^3*b^3*d*e^(10*c) - 7*a^2*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^6*d*e^(8*c) - 352*a^5*b*d*e^(8*c) + 355*a^4*b^2*d*e^(8*c) - 166*a^3*b^3*d*e^(8*c) + 35*a^2*b^4*d*e^(8*c))*e^(8*d*x) + 8*(16*a^5*b*d*e^(6*c) - 39*a^4*b^2*d*e^(6*c) + 30*a^3*b^3*d*e^(6*c) - 7*a^2*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^5*b*d*e^(4*c) - 23*a^4*b^2*d*e^(4*c) + 22*a^3*b^3*d*e^(4*c) - 7*a^2*b^4*d*e^(4*c))*e^(4*d*x) - 8*(a^4*b^2*d*e^(2*c) - 2*a^3*b^3*d*e^(2*c) + a^2*b^4*d*e^(2*c))*e^(2*d*x)) - 1/4*integrate(1/2*((12*a^2*e^(6*c) - 11*a*b*e^(6*c) + 5*b^2*e^(6*c))*e^(6*d*x) - 2*(32*a^2*e^(4*c) - 19*a*b*e^(4*c) + 5*b^2*e^(4*c))*e^(4*d*x) + (12*a^2*e^(2*c) - 11*a*b*e^(2*c) + 5*b^2*e^(2*c))*e^(2*d*x))/(a^4*b - 2*a^3*b^2 + a^2*b^3 + (a^4*b*e^(8*c) - 2*a^3*b^2*e^(8*c) + a^2*b^3*e^(8*c))*e^(8*d*x) - 4*(a^4*b*e^(6*c) - 2*a^3*b^2*e^(6*c) + a^2*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^5*e^(4*c) - 19*a^4*b*e^(4*c) + 14*a^3*b^2*e^(4*c) - 3*a^2*b^3*e^(4*c))*e^(4*d*x) - 4*(a^4*b*e^(2*c) - 2*a^3*b^2*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
263,0,0,0,0.000000," ","integrate(1/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{6 \, a b^{2} - 3 \, b^{3} + {\left(7 \, a b^{2} e^{\left(14 \, c\right)} - 4 \, b^{3} e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - {\left(32 \, a^{2} b e^{\left(12 \, c\right)} + 2 \, a b^{2} e^{\left(12 \, c\right)} - 7 \, b^{3} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} - {\left(16 \, a^{2} b e^{\left(10 \, c\right)} - 3 \, a b^{2} e^{\left(10 \, c\right)} - 28 \, b^{3} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 3 \, {\left(256 \, a^{3} e^{\left(8 \, c\right)} - 320 \, a^{2} b e^{\left(8 \, c\right)} + 166 \, a b^{2} e^{\left(8 \, c\right)} - 35 \, b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + {\left(784 \, a^{2} b e^{\left(6 \, c\right)} - 723 \, a b^{2} e^{\left(6 \, c\right)} + 140 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(160 \, a^{2} b e^{\left(4 \, c\right)} - 266 \, a b^{2} e^{\left(4 \, c\right)} + 91 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(55 \, a b^{2} e^{\left(2 \, c\right)} - 28 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{8 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(16 \, c\right)} + a^{2} b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(14 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(14 \, c\right)} + a^{2} b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(12 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(12 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(12 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(10 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(10 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(10 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{6} d e^{\left(8 \, c\right)} - 352 \, a^{5} b d e^{\left(8 \, c\right)} + 355 \, a^{4} b^{2} d e^{\left(8 \, c\right)} - 166 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + 35 \, a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 8 \, {\left(16 \, a^{5} b d e^{\left(6 \, c\right)} - 39 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 30 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{5} b d e^{\left(4 \, c\right)} - 23 \, a^{4} b^{2} d e^{\left(4 \, c\right)} + 22 \, a^{3} b^{3} d e^{\left(4 \, c\right)} - 7 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 8 \, {\left(a^{4} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(2 \, c\right)} + a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \int \frac{{\left(7 \, a b e^{\left(6 \, c\right)} - 4 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(32 \, a^{2} e^{\left(4 \, c\right)} - 40 \, a b e^{\left(4 \, c\right)} + 17 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(7 \, a b e^{\left(2 \, c\right)} - 4 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{4 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + a^{2} b^{3} + {\left(a^{4} b e^{\left(8 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(8 \, c\right)} + a^{2} b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(6 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(6 \, c\right)} + a^{2} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{5} e^{\left(4 \, c\right)} - 19 \, a^{4} b e^{\left(4 \, c\right)} + 14 \, a^{3} b^{2} e^{\left(4 \, c\right)} - 3 \, a^{2} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{4} b e^{\left(2 \, c\right)} - 2 \, a^{3} b^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/8*(6*a*b^2 - 3*b^3 + (7*a*b^2*e^(14*c) - 4*b^3*e^(14*c))*e^(14*d*x) - (32*a^2*b*e^(12*c) + 2*a*b^2*e^(12*c) - 7*b^3*e^(12*c))*e^(12*d*x) - (16*a^2*b*e^(10*c) - 3*a*b^2*e^(10*c) - 28*b^3*e^(10*c))*e^(10*d*x) + 3*(256*a^3*e^(8*c) - 320*a^2*b*e^(8*c) + 166*a*b^2*e^(8*c) - 35*b^3*e^(8*c))*e^(8*d*x) + (784*a^2*b*e^(6*c) - 723*a*b^2*e^(6*c) + 140*b^3*e^(6*c))*e^(6*d*x) - (160*a^2*b*e^(4*c) - 266*a*b^2*e^(4*c) + 91*b^3*e^(4*c))*e^(4*d*x) - (55*a*b^2*e^(2*c) - 28*b^3*e^(2*c))*e^(2*d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(16*c) - 2*a^3*b^3*d*e^(16*c) + a^2*b^4*d*e^(16*c))*e^(16*d*x) - 8*(a^4*b^2*d*e^(14*c) - 2*a^3*b^3*d*e^(14*c) + a^2*b^4*d*e^(14*c))*e^(14*d*x) - 4*(8*a^5*b*d*e^(12*c) - 23*a^4*b^2*d*e^(12*c) + 22*a^3*b^3*d*e^(12*c) - 7*a^2*b^4*d*e^(12*c))*e^(12*d*x) + 8*(16*a^5*b*d*e^(10*c) - 39*a^4*b^2*d*e^(10*c) + 30*a^3*b^3*d*e^(10*c) - 7*a^2*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^6*d*e^(8*c) - 352*a^5*b*d*e^(8*c) + 355*a^4*b^2*d*e^(8*c) - 166*a^3*b^3*d*e^(8*c) + 35*a^2*b^4*d*e^(8*c))*e^(8*d*x) + 8*(16*a^5*b*d*e^(6*c) - 39*a^4*b^2*d*e^(6*c) + 30*a^3*b^3*d*e^(6*c) - 7*a^2*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^5*b*d*e^(4*c) - 23*a^4*b^2*d*e^(4*c) + 22*a^3*b^3*d*e^(4*c) - 7*a^2*b^4*d*e^(4*c))*e^(4*d*x) - 8*(a^4*b^2*d*e^(2*c) - 2*a^3*b^3*d*e^(2*c) + a^2*b^4*d*e^(2*c))*e^(2*d*x)) + integrate(1/4*((7*a*b*e^(6*c) - 4*b^2*e^(6*c))*e^(6*d*x) - 2*(32*a^2*e^(4*c) - 40*a*b*e^(4*c) + 17*b^2*e^(4*c))*e^(4*d*x) + (7*a*b*e^(2*c) - 4*b^2*e^(2*c))*e^(2*d*x))/(a^4*b - 2*a^3*b^2 + a^2*b^3 + (a^4*b*e^(8*c) - 2*a^3*b^2*e^(8*c) + a^2*b^3*e^(8*c))*e^(8*d*x) - 4*(a^4*b*e^(6*c) - 2*a^3*b^2*e^(6*c) + a^2*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^5*e^(4*c) - 19*a^4*b*e^(4*c) + 14*a^3*b^2*e^(4*c) - 3*a^2*b^3*e^(4*c))*e^(4*d*x) - 4*(a^4*b*e^(2*c) - 2*a^3*b^2*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
264,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{32 \, a^{2} b^{2} - 83 \, a b^{3} + 45 \, b^{4} + 3 \, {\left(20 \, a^{2} b^{2} e^{\left(16 \, c\right)} - 33 \, a b^{3} e^{\left(16 \, c\right)} + 15 \, b^{4} e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} - 12 \, {\left(43 \, a^{2} b^{2} e^{\left(14 \, c\right)} - 68 \, a b^{3} e^{\left(14 \, c\right)} + 30 \, b^{4} e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(400 \, a^{3} b e^{\left(12 \, c\right)} - 1137 \, a^{2} b^{2} e^{\left(12 \, c\right)} + 1031 \, a b^{3} e^{\left(12 \, c\right)} - 315 \, b^{4} e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 12 \, {\left(592 \, a^{3} b e^{\left(10 \, c\right)} - 1237 \, a^{2} b^{2} e^{\left(10 \, c\right)} + 886 \, a b^{3} e^{\left(10 \, c\right)} - 210 \, b^{4} e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(4096 \, a^{4} e^{\left(8 \, c\right)} - 12192 \, a^{3} b e^{\left(8 \, c\right)} + 13634 \, a^{2} b^{2} e^{\left(8 \, c\right)} - 7113 \, a b^{3} e^{\left(8 \, c\right)} + 1575 \, b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(880 \, a^{3} b e^{\left(6 \, c\right)} - 2855 \, a^{2} b^{2} e^{\left(6 \, c\right)} + 2512 \, a b^{3} e^{\left(6 \, c\right)} - 630 \, b^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(256 \, a^{3} b e^{\left(4 \, c\right)} - 823 \, a^{2} b^{2} e^{\left(4 \, c\right)} + 903 \, a b^{3} e^{\left(4 \, c\right)} - 315 \, b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 12 \, {\left(19 \, a^{2} b^{2} e^{\left(2 \, c\right)} - 54 \, a b^{3} e^{\left(2 \, c\right)} + 30 \, b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{16 \, {\left(a^{5} b^{2} d - 2 \, a^{4} b^{3} d + a^{3} b^{4} d - {\left(a^{5} b^{2} d e^{\left(18 \, c\right)} - 2 \, a^{4} b^{3} d e^{\left(18 \, c\right)} + a^{3} b^{4} d e^{\left(18 \, c\right)}\right)} e^{\left(18 \, d x\right)} + 9 \, {\left(a^{5} b^{2} d e^{\left(16 \, c\right)} - 2 \, a^{4} b^{3} d e^{\left(16 \, c\right)} + a^{3} b^{4} d e^{\left(16 \, c\right)}\right)} e^{\left(16 \, d x\right)} + 4 \, {\left(8 \, a^{6} b d e^{\left(14 \, c\right)} - 25 \, a^{5} b^{2} d e^{\left(14 \, c\right)} + 26 \, a^{4} b^{3} d e^{\left(14 \, c\right)} - 9 \, a^{3} b^{4} d e^{\left(14 \, c\right)}\right)} e^{\left(14 \, d x\right)} - 4 \, {\left(40 \, a^{6} b d e^{\left(12 \, c\right)} - 101 \, a^{5} b^{2} d e^{\left(12 \, c\right)} + 82 \, a^{4} b^{3} d e^{\left(12 \, c\right)} - 21 \, a^{3} b^{4} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} - 2 \, {\left(128 \, a^{7} d e^{\left(10 \, c\right)} - 416 \, a^{6} b d e^{\left(10 \, c\right)} + 511 \, a^{5} b^{2} d e^{\left(10 \, c\right)} - 286 \, a^{4} b^{3} d e^{\left(10 \, c\right)} + 63 \, a^{3} b^{4} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + 2 \, {\left(128 \, a^{7} d e^{\left(8 \, c\right)} - 416 \, a^{6} b d e^{\left(8 \, c\right)} + 511 \, a^{5} b^{2} d e^{\left(8 \, c\right)} - 286 \, a^{4} b^{3} d e^{\left(8 \, c\right)} + 63 \, a^{3} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(40 \, a^{6} b d e^{\left(6 \, c\right)} - 101 \, a^{5} b^{2} d e^{\left(6 \, c\right)} + 82 \, a^{4} b^{3} d e^{\left(6 \, c\right)} - 21 \, a^{3} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 4 \, {\left(8 \, a^{6} b d e^{\left(4 \, c\right)} - 25 \, a^{5} b^{2} d e^{\left(4 \, c\right)} + 26 \, a^{4} b^{3} d e^{\left(4 \, c\right)} - 9 \, a^{3} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 9 \, {\left(a^{5} b^{2} d e^{\left(2 \, c\right)} - 2 \, a^{4} b^{3} d e^{\left(2 \, c\right)} + a^{3} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - 4 \, \int \frac{3 \, {\left({\left(20 \, a^{2} b e^{\left(6 \, c\right)} - 33 \, a b^{2} e^{\left(6 \, c\right)} + 15 \, b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(32 \, a^{2} b e^{\left(4 \, c\right)} - 41 \, a b^{2} e^{\left(4 \, c\right)} + 15 \, b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(20 \, a^{2} b e^{\left(2 \, c\right)} - 33 \, a b^{2} e^{\left(2 \, c\right)} + 15 \, b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}{32 \, {\left(a^{5} b - 2 \, a^{4} b^{2} + a^{3} b^{3} + {\left(a^{5} b e^{\left(8 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(8 \, c\right)} + a^{3} b^{3} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 4 \, {\left(a^{5} b e^{\left(6 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(6 \, c\right)} + a^{3} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 2 \, {\left(8 \, a^{6} e^{\left(4 \, c\right)} - 19 \, a^{5} b e^{\left(4 \, c\right)} + 14 \, a^{4} b^{2} e^{\left(4 \, c\right)} - 3 \, a^{3} b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 4 \, {\left(a^{5} b e^{\left(2 \, c\right)} - 2 \, a^{4} b^{2} e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/16*(32*a^2*b^2 - 83*a*b^3 + 45*b^4 + 3*(20*a^2*b^2*e^(16*c) - 33*a*b^3*e^(16*c) + 15*b^4*e^(16*c))*e^(16*d*x) - 12*(43*a^2*b^2*e^(14*c) - 68*a*b^3*e^(14*c) + 30*b^4*e^(14*c))*e^(14*d*x) - 4*(400*a^3*b*e^(12*c) - 1137*a^2*b^2*e^(12*c) + 1031*a*b^3*e^(12*c) - 315*b^4*e^(12*c))*e^(12*d*x) + 12*(592*a^3*b*e^(10*c) - 1237*a^2*b^2*e^(10*c) + 886*a*b^3*e^(10*c) - 210*b^4*e^(10*c))*e^(10*d*x) + 2*(4096*a^4*e^(8*c) - 12192*a^3*b*e^(8*c) + 13634*a^2*b^2*e^(8*c) - 7113*a*b^3*e^(8*c) + 1575*b^4*e^(8*c))*e^(8*d*x) + 4*(880*a^3*b*e^(6*c) - 2855*a^2*b^2*e^(6*c) + 2512*a*b^3*e^(6*c) - 630*b^4*e^(6*c))*e^(6*d*x) - 4*(256*a^3*b*e^(4*c) - 823*a^2*b^2*e^(4*c) + 903*a*b^3*e^(4*c) - 315*b^4*e^(4*c))*e^(4*d*x) - 12*(19*a^2*b^2*e^(2*c) - 54*a*b^3*e^(2*c) + 30*b^4*e^(2*c))*e^(2*d*x))/(a^5*b^2*d - 2*a^4*b^3*d + a^3*b^4*d - (a^5*b^2*d*e^(18*c) - 2*a^4*b^3*d*e^(18*c) + a^3*b^4*d*e^(18*c))*e^(18*d*x) + 9*(a^5*b^2*d*e^(16*c) - 2*a^4*b^3*d*e^(16*c) + a^3*b^4*d*e^(16*c))*e^(16*d*x) + 4*(8*a^6*b*d*e^(14*c) - 25*a^5*b^2*d*e^(14*c) + 26*a^4*b^3*d*e^(14*c) - 9*a^3*b^4*d*e^(14*c))*e^(14*d*x) - 4*(40*a^6*b*d*e^(12*c) - 101*a^5*b^2*d*e^(12*c) + 82*a^4*b^3*d*e^(12*c) - 21*a^3*b^4*d*e^(12*c))*e^(12*d*x) - 2*(128*a^7*d*e^(10*c) - 416*a^6*b*d*e^(10*c) + 511*a^5*b^2*d*e^(10*c) - 286*a^4*b^3*d*e^(10*c) + 63*a^3*b^4*d*e^(10*c))*e^(10*d*x) + 2*(128*a^7*d*e^(8*c) - 416*a^6*b*d*e^(8*c) + 511*a^5*b^2*d*e^(8*c) - 286*a^4*b^3*d*e^(8*c) + 63*a^3*b^4*d*e^(8*c))*e^(8*d*x) + 4*(40*a^6*b*d*e^(6*c) - 101*a^5*b^2*d*e^(6*c) + 82*a^4*b^3*d*e^(6*c) - 21*a^3*b^4*d*e^(6*c))*e^(6*d*x) - 4*(8*a^6*b*d*e^(4*c) - 25*a^5*b^2*d*e^(4*c) + 26*a^4*b^3*d*e^(4*c) - 9*a^3*b^4*d*e^(4*c))*e^(4*d*x) - 9*(a^5*b^2*d*e^(2*c) - 2*a^4*b^3*d*e^(2*c) + a^3*b^4*d*e^(2*c))*e^(2*d*x)) - 4*integrate(3/32*((20*a^2*b*e^(6*c) - 33*a*b^2*e^(6*c) + 15*b^3*e^(6*c))*e^(6*d*x) - 2*(32*a^2*b*e^(4*c) - 41*a*b^2*e^(4*c) + 15*b^3*e^(4*c))*e^(4*d*x) + (20*a^2*b*e^(2*c) - 33*a*b^2*e^(2*c) + 15*b^3*e^(2*c))*e^(2*d*x))/(a^5*b - 2*a^4*b^2 + a^3*b^3 + (a^5*b*e^(8*c) - 2*a^4*b^2*e^(8*c) + a^3*b^3*e^(8*c))*e^(8*d*x) - 4*(a^5*b*e^(6*c) - 2*a^4*b^2*e^(6*c) + a^3*b^3*e^(6*c))*e^(6*d*x) - 2*(8*a^6*e^(4*c) - 19*a^5*b*e^(4*c) + 14*a^4*b^2*e^(4*c) - 3*a^3*b^3*e^(4*c))*e^(4*d*x) - 4*(a^5*b*e^(2*c) - 2*a^4*b^2*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
265,1,69,0,0.447541," ","integrate(1/(1-sinh(x)^4),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \frac{1}{8} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right) + \frac{1}{e^{\left(-2 \, x\right)} + 1}"," ",0,"1/8*sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - 1/8*sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1)) + 1/(e^(-2*x) + 1)","B",0
266,0,0,0,0.000000," ","integrate(1/(1+sinh(x)^4),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(x\right)^{4} + 1}\,{d x}"," ",0,"integrate(1/(sinh(x)^4 + 1), x)","F",0
267,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x)^5),x, algorithm=""maxima"")","\int \frac{1}{b \sinh\left(x\right)^{5} + a}\,{d x}"," ",0,"integrate(1/(b*sinh(x)^5 + a), x)","F",0
268,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x)^6),x, algorithm=""maxima"")","\int \frac{1}{b \sinh\left(x\right)^{6} + a}\,{d x}"," ",0,"integrate(1/(b*sinh(x)^6 + a), x)","F",0
269,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x)^8),x, algorithm=""maxima"")","\int \frac{1}{b \sinh\left(x\right)^{8} + a}\,{d x}"," ",0,"integrate(1/(b*sinh(x)^8 + a), x)","F",0
270,0,0,0,0.000000," ","integrate(1/(1+sinh(x)^5),x, algorithm=""maxima"")","\frac{1}{10} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} - 1}{\sqrt{2} + e^{x} + 1}\right) - \int \frac{2 \, {\left(e^{\left(7 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 9 \, e^{\left(5 \, x\right)} - 24 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} - e^{x}\right)}}{5 \, {\left(e^{\left(8 \, x\right)} - 2 \, e^{\left(7 \, x\right)} - 2 \, e^{\left(5 \, x\right)} + 14 \, e^{\left(4 \, x\right)} + 2 \, e^{\left(3 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"1/10*sqrt(2)*log(-(sqrt(2) - e^x - 1)/(sqrt(2) + e^x + 1)) - integrate(2/5*(e^(7*x) - 4*e^(6*x) + 9*e^(5*x) - 24*e^(4*x) - 9*e^(3*x) - 4*e^(2*x) - e^x)/(e^(8*x) - 2*e^(7*x) - 2*e^(5*x) + 14*e^(4*x) + 2*e^(3*x) + 2*e^x + 1), x)","F",0
271,0,0,0,0.000000," ","integrate(1/(1+sinh(x)^6),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}} - \int \frac{4 \, {\left(e^{\left(6 \, x\right)} - 10 \, e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}\right)}}{3 \, {\left(e^{\left(8 \, x\right)} - 8 \, e^{\left(6 \, x\right)} + 30 \, e^{\left(4 \, x\right)} - 8 \, e^{\left(2 \, x\right)} + 1\right)}}\,{d x}"," ",0,"-2/3/(e^(2*x) + 1) - integrate(4/3*(e^(6*x) - 10*e^(4*x) + e^(2*x))/(e^(8*x) - 8*e^(6*x) + 30*e^(4*x) - 8*e^(2*x) + 1), x)","F",0
272,0,0,0,0.000000," ","integrate(1/(1+sinh(x)^8),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(x\right)^{8} + 1}\,{d x}"," ",0,"integrate(1/(sinh(x)^8 + 1), x)","F",0
273,0,0,0,0.000000," ","integrate(1/(1-sinh(x)^5),x, algorithm=""maxima"")","-\frac{1}{10} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} + 1}{\sqrt{2} + e^{x} - 1}\right) + \int \frac{2 \, {\left(e^{\left(7 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 9 \, e^{\left(5 \, x\right)} + 24 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} - e^{x}\right)}}{5 \, {\left(e^{\left(8 \, x\right)} + 2 \, e^{\left(7 \, x\right)} + 2 \, e^{\left(5 \, x\right)} + 14 \, e^{\left(4 \, x\right)} - 2 \, e^{\left(3 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"-1/10*sqrt(2)*log(-(sqrt(2) - e^x + 1)/(sqrt(2) + e^x - 1)) + integrate(2/5*(e^(7*x) + 4*e^(6*x) + 9*e^(5*x) + 24*e^(4*x) - 9*e^(3*x) + 4*e^(2*x) - e^x)/(e^(8*x) + 2*e^(7*x) + 2*e^(5*x) + 14*e^(4*x) - 2*e^(3*x) - 2*e^x + 1), x)","F",0
274,0,0,0,0.000000," ","integrate(1/(1-sinh(x)^6),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} + 1}{\sqrt{2} + e^{x} - 1}\right) + \frac{1}{12} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} - 1}{\sqrt{2} + e^{x} + 1}\right) + \int \frac{e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} - e^{x}}{3 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x} - \int \frac{e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} - e^{x}}{3 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"-1/12*sqrt(2)*log(-(sqrt(2) - e^x + 1)/(sqrt(2) + e^x - 1)) + 1/12*sqrt(2)*log(-(sqrt(2) - e^x - 1)/(sqrt(2) + e^x + 1)) + integrate(1/3*(e^(3*x) + 4*e^(2*x) - e^x)/(e^(4*x) + 2*e^(3*x) + 2*e^(2*x) - 2*e^x + 1), x) - integrate(1/3*(e^(3*x) - 4*e^(2*x) - e^x)/(e^(4*x) - 2*e^(3*x) + 2*e^(2*x) + 2*e^x + 1), x)","F",0
275,0,0,0,0.000000," ","integrate(1/(1-sinh(x)^8),x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} + 1}{\sqrt{2} + e^{x} - 1}\right) + \frac{1}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{x} - 1}{\sqrt{2} + e^{x} + 1}\right) - \frac{1}{2 \, {\left(e^{\left(2 \, x\right)} + 1\right)}} + 8 \, \int \frac{e^{\left(4 \, x\right)}}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 22 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}\,{d x}"," ",0,"-1/16*sqrt(2)*log(-(sqrt(2) - e^x + 1)/(sqrt(2) + e^x - 1)) + 1/16*sqrt(2)*log(-(sqrt(2) - e^x - 1)/(sqrt(2) + e^x + 1)) - 1/2/(e^(2*x) + 1) + 8*integrate(e^(4*x)/(e^(8*x) - 4*e^(6*x) + 22*e^(4*x) - 4*e^(2*x) + 1), x)","F",0
276,1,34,0,0.334074," ","integrate(cosh(x)^5/(a+a*sinh(x)^2),x, algorithm=""maxima"")","\frac{{\left(9 \, e^{\left(-2 \, x\right)} + 1\right)} e^{\left(3 \, x\right)}}{24 \, a} - \frac{9 \, e^{\left(-x\right)} + e^{\left(-3 \, x\right)}}{24 \, a}"," ",0,"1/24*(9*e^(-2*x) + 1)*e^(3*x)/a - 1/24*(9*e^(-x) + e^(-3*x))/a","B",0
277,1,25,0,0.319589," ","integrate(cosh(x)^4/(a+a*sinh(x)^2),x, algorithm=""maxima"")","\frac{x}{2 \, a} + \frac{e^{\left(2 \, x\right)}}{8 \, a} - \frac{e^{\left(-2 \, x\right)}}{8 \, a}"," ",0,"1/2*x/a + 1/8*e^(2*x)/a - 1/8*e^(-2*x)/a","A",0
278,1,17,0,0.332295," ","integrate(cosh(x)^3/(a+a*sinh(x)^2),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)}}{2 \, a} + \frac{e^{x}}{2 \, a}"," ",0,"-1/2*e^(-x)/a + 1/2*e^x/a","B",0
279,1,5,0,0.332209," ","integrate(cosh(x)^2/(a+a*sinh(x)^2),x, algorithm=""maxima"")","\frac{x}{a}"," ",0,"x/a","A",0
280,1,10,0,0.446596," ","integrate(cosh(x)/(a+a*sinh(x)^2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"-2*arctan(e^(-x))/a","A",0
281,1,40,0,0.431596," ","integrate(sech(x)/(a+a*sinh(x)^2),x, algorithm=""maxima"")","\frac{e^{\left(-x\right)} - e^{\left(-3 \, x\right)}}{2 \, a e^{\left(-2 \, x\right)} + a e^{\left(-4 \, x\right)} + a} - \frac{\arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"(e^(-x) - e^(-3*x))/(2*a*e^(-2*x) + a*e^(-4*x) + a) - arctan(e^(-x))/a","B",0
282,1,69,0,0.412327," ","integrate(sech(x)^3/(a+a*sinh(x)^2),x, algorithm=""maxima"")","\frac{3 \, e^{\left(-x\right)} + 11 \, e^{\left(-3 \, x\right)} - 11 \, e^{\left(-5 \, x\right)} - 3 \, e^{\left(-7 \, x\right)}}{4 \, {\left(4 \, a e^{\left(-2 \, x\right)} + 6 \, a e^{\left(-4 \, x\right)} + 4 \, a e^{\left(-6 \, x\right)} + a e^{\left(-8 \, x\right)} + a\right)}} - \frac{3 \, \arctan\left(e^{\left(-x\right)}\right)}{4 \, a}"," ",0,"1/4*(3*e^(-x) + 11*e^(-3*x) - 11*e^(-5*x) - 3*e^(-7*x))/(4*a*e^(-2*x) + 6*a*e^(-4*x) + 4*a*e^(-6*x) + a*e^(-8*x) + a) - 3/4*arctan(e^(-x))/a","B",0
283,1,152,0,0.331404," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{64} \, a {\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)} + \frac{1}{384} \, b {\left(\frac{{\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} - \frac{24 \, {\left(d x + c\right)}}{d} + \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a*(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) + 1/384*b*((3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + 1)*e^(6*d*x + 6*c)/d - 24*(d*x + c)/d + (3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) - e^(-6*d*x - 6*c))/d)","A",0
284,1,136,0,0.344630," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{480} \, b {\left(\frac{{\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 30 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3\right)} e^{\left(5 \, d x + 5 \, c\right)}}{d} + \frac{30 \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-3 \, d x - 3 \, c\right)} - 3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a {\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,"1/480*b*((5*e^(-2*d*x - 2*c) - 30*e^(-4*d*x - 4*c) + 3)*e^(5*d*x + 5*c)/d + (30*e^(-d*x - c) - 5*e^(-3*d*x - 3*c) - 3*e^(-5*d*x - 5*c))/d) + 1/24*a*(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)","B",0
285,1,76,0,0.346378," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(4 \, x + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} - \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{64} \, b {\left(\frac{8 \, {\left(d x + c\right)}}{d} - \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} + \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)}"," ",0,"1/8*a*(4*x + e^(2*d*x + 2*c)/d - e^(-2*d*x - 2*c)/d) - 1/64*b*(8*(d*x + c)/d - e^(4*d*x + 4*c)/d + e^(-4*d*x - 4*c)/d)","A",0
286,1,26,0,0.331544," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{b \sinh\left(d x + c\right)^{3}}{3 \, d} + \frac{a \sinh\left(d x + c\right)}{d}"," ",0,"1/3*b*sinh(d*x + c)^3/d + a*sinh(d*x + c)/d","A",0
287,1,56,0,0.445425," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{4 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a \arctan\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"1/2*b*(4*arctan(e^(-d*x - c))/d + e^(d*x + c)/d - e^(-d*x - c)/d) + a*arctan(sinh(d*x + c))/d","A",0
288,1,47,0,0.347446," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","b {\left(x + \frac{c}{d} - \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}\right)} + \frac{2 \, a}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"b*(x + c/d - 2/(d*(e^(-2*d*x - 2*c) + 1))) + 2*a/(d*(e^(-2*d*x - 2*c) + 1))","B",0
289,1,136,0,0.419302," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)} - a {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)}"," ",0,"-b*(arctan(e^(-d*x - c))/d + (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1))) - a*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1)))","B",0
290,1,185,0,0.327416," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{4}{3} \, a {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} + \frac{2}{3} \, b {\left(\frac{3 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)}"," ",0,"4/3*a*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) + 2/3*b*(3*e^(-4*d*x - 4*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)))","B",0
291,1,228,0,0.426953," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} + 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} - 3 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)} - \frac{1}{4} \, b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - 7 \, e^{\left(-3 \, d x - 3 \, c\right)} + 7 \, e^{\left(-5 \, d x - 5 \, c\right)} - e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)}"," ",0,"-1/4*a*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) + 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) - 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1))) - 1/4*b*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - 7*e^(-3*d*x - 3*c) + 7*e^(-5*d*x - 5*c) - e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1)))","B",0
292,1,486,0,0.331897," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{16}{15} \, a {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{4}{15} \, b {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} - \frac{5 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{15 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)}"," ",0,"16/15*a*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 4/15*b*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) - 5*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 15*e^(-6*d*x - 6*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)))","B",0
293,1,225,0,0.342486," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{64} \, a^{2} {\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)} - \frac{1}{2048} \, b^{2} {\left(\frac{{\left(8 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{48 \, {\left(d x + c\right)}}{d} - \frac{8 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{1}{192} \, a b {\left(\frac{{\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} - \frac{24 \, {\left(d x + c\right)}}{d} + \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a^2*(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) - 1/2048*b^2*((8*e^(-4*d*x - 4*c) - 1)*e^(8*d*x + 8*c)/d - 48*(d*x + c)/d - (8*e^(-4*d*x - 4*c) - e^(-8*d*x - 8*c))/d) + 1/192*a*b*((3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + 1)*e^(6*d*x + 6*c)/d - 24*(d*x + c)/d + (3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) - e^(-6*d*x - 6*c))/d)","A",0
294,1,242,0,0.334668," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{4480} \, b^{2} {\left(\frac{{\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 35 \, e^{\left(-4 \, d x - 4 \, c\right)} - 105 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{105 \, e^{\left(-d x - c\right)} - 35 \, e^{\left(-3 \, d x - 3 \, c\right)} - 7 \, e^{\left(-5 \, d x - 5 \, c\right)} + 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{240} \, a b {\left(\frac{{\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 30 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3\right)} e^{\left(5 \, d x + 5 \, c\right)}}{d} + \frac{30 \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-3 \, d x - 3 \, c\right)} - 3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{2} {\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,"-1/4480*b^2*((7*e^(-2*d*x - 2*c) + 35*e^(-4*d*x - 4*c) - 105*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (105*e^(-d*x - c) - 35*e^(-3*d*x - 3*c) - 7*e^(-5*d*x - 5*c) + 5*e^(-7*d*x - 7*c))/d) + 1/240*a*b*((5*e^(-2*d*x - 2*c) - 30*e^(-4*d*x - 4*c) + 3)*e^(5*d*x + 5*c)/d + (30*e^(-d*x - c) - 5*e^(-3*d*x - 3*c) - 3*e^(-5*d*x - 5*c))/d) + 1/24*a^2*(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)","B",0
295,1,171,0,0.338203," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, a^{2} {\left(4 \, x + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} - \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{384} \, b^{2} {\left(\frac{{\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} - \frac{24 \, {\left(d x + c\right)}}{d} - \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} - \frac{1}{32} \, a b {\left(\frac{8 \, {\left(d x + c\right)}}{d} - \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} + \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)}"," ",0,"1/8*a^2*(4*x + e^(2*d*x + 2*c)/d - e^(-2*d*x - 2*c)/d) - 1/384*b^2*((3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d - 24*(d*x + c)/d - (3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) - e^(-6*d*x - 6*c))/d) - 1/32*a*b*(8*(d*x + c)/d - e^(4*d*x + 4*c)/d + e^(-4*d*x - 4*c)/d)","A",0
296,1,45,0,0.329120," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{b^{2} \sinh\left(d x + c\right)^{5}}{5 \, d} + \frac{2 \, a b \sinh\left(d x + c\right)^{3}}{3 \, d} + \frac{a^{2} \sinh\left(d x + c\right)}{d}"," ",0,"1/5*b^2*sinh(d*x + c)^5/d + 2/3*a*b*sinh(d*x + c)^3/d + a^2*sinh(d*x + c)/d","A",0
297,1,133,0,0.673209," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{24} \, b^{2} {\left(\frac{{\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)} e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{15 \, e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{48 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d}\right)} + a b {\left(\frac{4 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a^{2} \arctan\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"-1/24*b^2*((15*e^(-2*d*x - 2*c) - 1)*e^(3*d*x + 3*c)/d - (15*e^(-d*x - c) - e^(-3*d*x - 3*c))/d + 48*arctan(e^(-d*x - c))/d) + a*b*(4*arctan(e^(-d*x - c))/d + e^(d*x + c)/d - e^(-d*x - c)/d) + a^2*arctan(sinh(d*x + c))/d","B",0
298,1,119,0,0.563894," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","2 \, a b {\left(x + \frac{c}{d} - \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}\right)} - \frac{1}{8} \, b^{2} {\left(\frac{12 \, {\left(d x + c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{17 \, e^{\left(-2 \, d x - 2 \, c\right)} + 1}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)}\right)}}\right)} + \frac{2 \, a^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"2*a*b*(x + c/d - 2/(d*(e^(-2*d*x - 2*c) + 1))) - 1/8*b^2*(12*(d*x + c)/d + e^(-2*d*x - 2*c)/d - (17*e^(-2*d*x - 2*c) + 1)/(d*(e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c)))) + 2*a^2/(d*(e^(-2*d*x - 2*c) + 1))","B",0
299,1,234,0,0.452916," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} {\left(\frac{6 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)}}{d} + \frac{4 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} + 1}{d {\left(e^{\left(-d x - c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + e^{\left(-5 \, d x - 5 \, c\right)}\right)}}\right)} - 2 \, a b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)} - a^{2} {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)}"," ",0,"1/2*b^2*(6*arctan(e^(-d*x - c))/d - e^(-d*x - c)/d + (4*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) + 1)/(d*(e^(-d*x - c) + 2*e^(-3*d*x - 3*c) + e^(-5*d*x - 5*c)))) - 2*a*b*(arctan(e^(-d*x - c))/d + (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1))) - a^2*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1)))","B",0
300,1,267,0,0.408881," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} {\left(3 \, x + \frac{3 \, c}{d} - \frac{4 \, {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} + \frac{4}{3} \, a^{2} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} + \frac{4}{3} \, a b {\left(\frac{3 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)}"," ",0,"1/3*b^2*(3*x + 3*c/d - 4*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + 2)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) + 4/3*a^2*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) + 4/3*a*b*(3*e^(-4*d*x - 4*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)))","B",0
301,1,347,0,0.499989," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{5 \, e^{\left(-d x - c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)} - \frac{1}{4} \, a^{2} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} + 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} - 3 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)} - \frac{1}{2} \, a b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - 7 \, e^{\left(-3 \, d x - 3 \, c\right)} + 7 \, e^{\left(-5 \, d x - 5 \, c\right)} - e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)}"," ",0,"-1/4*b^2*(3*arctan(e^(-d*x - c))/d + (5*e^(-d*x - c) - 3*e^(-3*d*x - 3*c) + 3*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1))) - 1/4*a^2*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) + 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) - 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1))) - 1/2*a*b*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - 7*e^(-3*d*x - 3*c) + 7*e^(-5*d*x - 5*c) - e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1)))","B",0
302,1,698,0,0.343601," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{16}{15} \, a^{2} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{8}{15} \, a b {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} - \frac{5 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{15 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{2}{5} \, b^{2} {\left(\frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{5 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)}"," ",0,"16/15*a^2*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 8/15*a*b*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) - 5*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 15*e^(-6*d*x - 6*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 2/5*b^2*(10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 5*e^(-8*d*x - 8*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)))","B",0
303,1,483,0,0.537352," ","integrate(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{1}{24} \, a^{2} {\left(\frac{15 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{15 \, e^{\left(-d x - c\right)} + 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} - 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} - 15 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)} - \frac{1}{12} \, a b {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} + 17 \, e^{\left(-3 \, d x - 3 \, c\right)} - 114 \, e^{\left(-5 \, d x - 5 \, c\right)} + 114 \, e^{\left(-7 \, d x - 7 \, c\right)} - 17 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)} - \frac{1}{24} \, b^{2} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} - 47 \, e^{\left(-3 \, d x - 3 \, c\right)} + 78 \, e^{\left(-5 \, d x - 5 \, c\right)} - 78 \, e^{\left(-7 \, d x - 7 \, c\right)} + 47 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)}"," ",0,"-1/24*a^2*(15*arctan(e^(-d*x - c))/d - (15*e^(-d*x - c) + 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) - 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) - 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1))) - 1/12*a*b*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) + 17*e^(-3*d*x - 3*c) - 114*e^(-5*d*x - 5*c) + 114*e^(-7*d*x - 7*c) - 17*e^(-9*d*x - 9*c) - 3*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1))) - 1/24*b^2*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) - 47*e^(-3*d*x - 3*c) + 78*e^(-5*d*x - 5*c) - 78*e^(-7*d*x - 7*c) + 47*e^(-9*d*x - 9*c) - 3*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1)))","B",0
304,1,363,0,0.451315," ","integrate(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{64} \, a^{3} {\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)} - \frac{1}{20480} \, b^{3} {\left(\frac{{\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} - 40 \, e^{\left(-6 \, d x - 6 \, c\right)} - 20 \, e^{\left(-8 \, d x - 8 \, c\right)} - 2\right)} e^{\left(10 \, d x + 10 \, c\right)}}{d} + \frac{240 \, {\left(d x + c\right)}}{d} + \frac{20 \, e^{\left(-2 \, d x - 2 \, c\right)} + 40 \, e^{\left(-4 \, d x - 4 \, c\right)} - 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d}\right)} - \frac{3}{2048} \, a b^{2} {\left(\frac{{\left(8 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} - \frac{48 \, {\left(d x + c\right)}}{d} - \frac{8 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} + \frac{1}{128} \, a^{2} b {\left(\frac{{\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} - \frac{24 \, {\left(d x + c\right)}}{d} + \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)}"," ",0,"1/64*a^3*(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) - 1/20480*b^3*((5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) - 40*e^(-6*d*x - 6*c) - 20*e^(-8*d*x - 8*c) - 2)*e^(10*d*x + 10*c)/d + 240*(d*x + c)/d + (20*e^(-2*d*x - 2*c) + 40*e^(-4*d*x - 4*c) - 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + 2*e^(-10*d*x - 10*c))/d) - 3/2048*a*b^2*((8*e^(-4*d*x - 4*c) - 1)*e^(8*d*x + 8*c)/d - 48*(d*x + c)/d - (8*e^(-4*d*x - 4*c) - e^(-8*d*x - 8*c))/d) + 1/128*a^2*b*((3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + 1)*e^(6*d*x + 6*c)/d - 24*(d*x + c)/d + (3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) - e^(-6*d*x - 6*c))/d)","A",0
305,1,349,0,0.405503," ","integrate(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{32256} \, b^{3} {\left(\frac{{\left(27 \, e^{\left(-2 \, d x - 2 \, c\right)} - 168 \, e^{\left(-6 \, d x - 6 \, c\right)} + 378 \, e^{\left(-8 \, d x - 8 \, c\right)} - 7\right)} e^{\left(9 \, d x + 9 \, c\right)}}{d} - \frac{378 \, e^{\left(-d x - c\right)} - 168 \, e^{\left(-3 \, d x - 3 \, c\right)} + 27 \, e^{\left(-7 \, d x - 7 \, c\right)} - 7 \, e^{\left(-9 \, d x - 9 \, c\right)}}{d}\right)} - \frac{3}{4480} \, a b^{2} {\left(\frac{{\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 35 \, e^{\left(-4 \, d x - 4 \, c\right)} - 105 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5\right)} e^{\left(7 \, d x + 7 \, c\right)}}{d} + \frac{105 \, e^{\left(-d x - c\right)} - 35 \, e^{\left(-3 \, d x - 3 \, c\right)} - 7 \, e^{\left(-5 \, d x - 5 \, c\right)} + 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d}\right)} + \frac{1}{160} \, a^{2} b {\left(\frac{{\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 30 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3\right)} e^{\left(5 \, d x + 5 \, c\right)}}{d} + \frac{30 \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-3 \, d x - 3 \, c\right)} - 3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{1}{24} \, a^{3} {\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,"-1/32256*b^3*((27*e^(-2*d*x - 2*c) - 168*e^(-6*d*x - 6*c) + 378*e^(-8*d*x - 8*c) - 7)*e^(9*d*x + 9*c)/d - (378*e^(-d*x - c) - 168*e^(-3*d*x - 3*c) + 27*e^(-7*d*x - 7*c) - 7*e^(-9*d*x - 9*c))/d) - 3/4480*a*b^2*((7*e^(-2*d*x - 2*c) + 35*e^(-4*d*x - 4*c) - 105*e^(-6*d*x - 6*c) - 5)*e^(7*d*x + 7*c)/d + (105*e^(-d*x - c) - 35*e^(-3*d*x - 3*c) - 7*e^(-5*d*x - 5*c) + 5*e^(-7*d*x - 7*c))/d) + 1/160*a^2*b*((5*e^(-2*d*x - 2*c) - 30*e^(-4*d*x - 4*c) + 3)*e^(5*d*x + 5*c)/d + (30*e^(-d*x - c) - 5*e^(-3*d*x - 3*c) - 3*e^(-5*d*x - 5*c))/d) + 1/24*a^3*(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)","B",0
306,1,287,0,0.399149," ","integrate(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{8} \, a^{3} {\left(4 \, x + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} - \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} - \frac{1}{6144} \, b^{3} {\left(\frac{{\left(16 \, e^{\left(-2 \, d x - 2 \, c\right)} - 24 \, e^{\left(-4 \, d x - 4 \, c\right)} - 48 \, e^{\left(-6 \, d x - 6 \, c\right)} - 3\right)} e^{\left(8 \, d x + 8 \, c\right)}}{d} + \frac{240 \, {\left(d x + c\right)}}{d} + \frac{48 \, e^{\left(-2 \, d x - 2 \, c\right)} + 24 \, e^{\left(-4 \, d x - 4 \, c\right)} - 16 \, e^{\left(-6 \, d x - 6 \, c\right)} + 3 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d}\right)} - \frac{1}{128} \, a b^{2} {\left(\frac{{\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)} e^{\left(6 \, d x + 6 \, c\right)}}{d} - \frac{24 \, {\left(d x + c\right)}}{d} - \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - e^{\left(-6 \, d x - 6 \, c\right)}}{d}\right)} - \frac{3}{64} \, a^{2} b {\left(\frac{8 \, {\left(d x + c\right)}}{d} - \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} + \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)}"," ",0,"1/8*a^3*(4*x + e^(2*d*x + 2*c)/d - e^(-2*d*x - 2*c)/d) - 1/6144*b^3*((16*e^(-2*d*x - 2*c) - 24*e^(-4*d*x - 4*c) - 48*e^(-6*d*x - 6*c) - 3)*e^(8*d*x + 8*c)/d + 240*(d*x + c)/d + (48*e^(-2*d*x - 2*c) + 24*e^(-4*d*x - 4*c) - 16*e^(-6*d*x - 6*c) + 3*e^(-8*d*x - 8*c))/d) - 1/128*a*b^2*((3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) - 1)*e^(6*d*x + 6*c)/d - 24*(d*x + c)/d - (3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) - e^(-6*d*x - 6*c))/d) - 3/64*a^2*b*(8*(d*x + c)/d - e^(4*d*x + 4*c)/d + e^(-4*d*x - 4*c)/d)","A",0
307,1,63,0,0.299908," ","integrate(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{b^{3} \sinh\left(d x + c\right)^{7}}{7 \, d} + \frac{3 \, a b^{2} \sinh\left(d x + c\right)^{5}}{5 \, d} + \frac{a^{2} b \sinh\left(d x + c\right)^{3}}{d} + \frac{a^{3} \sinh\left(d x + c\right)}{d}"," ",0,"1/7*b^3*sinh(d*x + c)^7/d + 3/5*a*b^2*sinh(d*x + c)^5/d + a^2*b*sinh(d*x + c)^3/d + a^3*sinh(d*x + c)/d","A",0
308,1,233,0,0.442760," ","integrate(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{480} \, b^{3} {\left(\frac{{\left(35 \, e^{\left(-2 \, d x - 2 \, c\right)} - 330 \, e^{\left(-4 \, d x - 4 \, c\right)} - 3\right)} e^{\left(5 \, d x + 5 \, c\right)}}{d} + \frac{330 \, e^{\left(-d x - c\right)} - 35 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d} - \frac{960 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d}\right)} - \frac{1}{8} \, a b^{2} {\left(\frac{{\left(15 \, e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)} e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{15 \, e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{48 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d}\right)} + \frac{3}{2} \, a^{2} b {\left(\frac{4 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{a^{3} \arctan\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"-1/480*b^3*((35*e^(-2*d*x - 2*c) - 330*e^(-4*d*x - 4*c) - 3)*e^(5*d*x + 5*c)/d + (330*e^(-d*x - c) - 35*e^(-3*d*x - 3*c) + 3*e^(-5*d*x - 5*c))/d - 960*arctan(e^(-d*x - c))/d) - 1/8*a*b^2*((15*e^(-2*d*x - 2*c) - 1)*e^(3*d*x + 3*c)/d - (15*e^(-d*x - c) - e^(-3*d*x - 3*c))/d + 48*arctan(e^(-d*x - c))/d) + 3/2*a^2*b*(4*arctan(e^(-d*x - c))/d + e^(d*x + c)/d - e^(-d*x - c)/d) + a^3*arctan(sinh(d*x + c))/d","B",0
309,1,215,0,0.352554," ","integrate(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","3 \, a^{2} b {\left(x + \frac{c}{d} - \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}\right)} + \frac{1}{64} \, b^{3} {\left(\frac{120 \, {\left(d x + c\right)}}{d} + \frac{16 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)}}{d} - \frac{15 \, e^{\left(-2 \, d x - 2 \, c\right)} + 144 \, e^{\left(-4 \, d x - 4 \, c\right)} - 1}{d {\left(e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}\right)}}\right)} - \frac{3}{8} \, a b^{2} {\left(\frac{12 \, {\left(d x + c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{17 \, e^{\left(-2 \, d x - 2 \, c\right)} + 1}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)}\right)}}\right)} + \frac{2 \, a^{3}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"3*a^2*b*(x + c/d - 2/(d*(e^(-2*d*x - 2*c) + 1))) + 1/64*b^3*(120*(d*x + c)/d + (16*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c))/d - (15*e^(-2*d*x - 2*c) + 144*e^(-4*d*x - 4*c) - 1)/(d*(e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c)))) - 3/8*a*b^2*(12*(d*x + c)/d + e^(-2*d*x - 2*c)/d - (17*e^(-2*d*x - 2*c) + 1)/(d*(e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c)))) + 2*a^3/(d*(e^(-2*d*x - 2*c) + 1))","B",0
310,1,357,0,0.564300," ","integrate(sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{24} \, b^{3} {\left(\frac{27 \, e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d} - \frac{120 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{25 \, e^{\left(-2 \, d x - 2 \, c\right)} + 77 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1}{d {\left(e^{\left(-3 \, d x - 3 \, c\right)} + 2 \, e^{\left(-5 \, d x - 5 \, c\right)} + e^{\left(-7 \, d x - 7 \, c\right)}\right)}}\right)} + \frac{3}{2} \, a b^{2} {\left(\frac{6 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)}}{d} + \frac{4 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} + 1}{d {\left(e^{\left(-d x - c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + e^{\left(-5 \, d x - 5 \, c\right)}\right)}}\right)} - 3 \, a^{2} b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)} - a^{3} {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)}"," ",0,"1/24*b^3*((27*e^(-d*x - c) - e^(-3*d*x - 3*c))/d - 120*arctan(e^(-d*x - c))/d - (25*e^(-2*d*x - 2*c) + 77*e^(-4*d*x - 4*c) + 3*e^(-6*d*x - 6*c) - 1)/(d*(e^(-3*d*x - 3*c) + 2*e^(-5*d*x - 5*c) + e^(-7*d*x - 7*c)))) + 3/2*a*b^2*(6*arctan(e^(-d*x - c))/d - e^(-d*x - c)/d + (4*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) + 1)/(d*(e^(-d*x - c) + 2*e^(-3*d*x - 3*c) + e^(-5*d*x - 5*c)))) - 3*a^2*b*(arctan(e^(-d*x - c))/d + (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1))) - a^3*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1)))","B",0
311,1,382,0,0.378238," ","integrate(sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","a b^{2} {\left(3 \, x + \frac{3 \, c}{d} - \frac{4 \, {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} - \frac{1}{24} \, b^{3} {\left(\frac{60 \, {\left(d x + c\right)}}{d} + \frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{121 \, e^{\left(-2 \, d x - 2 \, c\right)} + 201 \, e^{\left(-4 \, d x - 4 \, c\right)} + 147 \, e^{\left(-6 \, d x - 6 \, c\right)} + 3}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)}\right)}}\right)} + \frac{4}{3} \, a^{3} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} + 2 \, a^{2} b {\left(\frac{3 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)}"," ",0,"a*b^2*(3*x + 3*c/d - 4*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + 2)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) - 1/24*b^3*(60*(d*x + c)/d + 3*e^(-2*d*x - 2*c)/d - (121*e^(-2*d*x - 2*c) + 201*e^(-4*d*x - 4*c) + 147*e^(-6*d*x - 6*c) + 3)/(d*(e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + 3*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c)))) + 4/3*a^3*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) + 2*a^2*b*(3*e^(-4*d*x - 4*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)))","B",0
312,1,489,0,0.494261," ","integrate(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} {\left(\frac{15 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{2 \, e^{\left(-d x - c\right)}}{d} + \frac{17 \, e^{\left(-2 \, d x - 2 \, c\right)} + 13 \, e^{\left(-4 \, d x - 4 \, c\right)} + 7 \, e^{\left(-6 \, d x - 6 \, c\right)} - 7 \, e^{\left(-8 \, d x - 8 \, c\right)} + 2}{d {\left(e^{\left(-d x - c\right)} + 4 \, e^{\left(-3 \, d x - 3 \, c\right)} + 6 \, e^{\left(-5 \, d x - 5 \, c\right)} + 4 \, e^{\left(-7 \, d x - 7 \, c\right)} + e^{\left(-9 \, d x - 9 \, c\right)}\right)}}\right)} - \frac{3}{4} \, a b^{2} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{5 \, e^{\left(-d x - c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)} - 5 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)} - \frac{1}{4} \, a^{3} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} + 11 \, e^{\left(-3 \, d x - 3 \, c\right)} - 11 \, e^{\left(-5 \, d x - 5 \, c\right)} - 3 \, e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)} - \frac{3}{4} \, a^{2} b {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - 7 \, e^{\left(-3 \, d x - 3 \, c\right)} + 7 \, e^{\left(-5 \, d x - 5 \, c\right)} - e^{\left(-7 \, d x - 7 \, c\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} + 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} + e^{\left(-8 \, d x - 8 \, c\right)} + 1\right)}}\right)}"," ",0,"1/4*b^3*(15*arctan(e^(-d*x - c))/d - 2*e^(-d*x - c)/d + (17*e^(-2*d*x - 2*c) + 13*e^(-4*d*x - 4*c) + 7*e^(-6*d*x - 6*c) - 7*e^(-8*d*x - 8*c) + 2)/(d*(e^(-d*x - c) + 4*e^(-3*d*x - 3*c) + 6*e^(-5*d*x - 5*c) + 4*e^(-7*d*x - 7*c) + e^(-9*d*x - 9*c)))) - 3/4*a*b^2*(3*arctan(e^(-d*x - c))/d + (5*e^(-d*x - c) - 3*e^(-3*d*x - 3*c) + 3*e^(-5*d*x - 5*c) - 5*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1))) - 1/4*a^3*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) + 11*e^(-3*d*x - 3*c) - 11*e^(-5*d*x - 5*c) - 3*e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1))) - 3/4*a^2*b*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - 7*e^(-3*d*x - 3*c) + 7*e^(-5*d*x - 5*c) - e^(-7*d*x - 7*c))/(d*(4*e^(-2*d*x - 2*c) + 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) + e^(-8*d*x - 8*c) + 1)))","B",0
313,1,824,0,0.394355," ","integrate(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{15} \, b^{3} {\left(15 \, x + \frac{15 \, c}{d} - \frac{2 \, {\left(70 \, e^{\left(-2 \, d x - 2 \, c\right)} + 140 \, e^{\left(-4 \, d x - 4 \, c\right)} + 90 \, e^{\left(-6 \, d x - 6 \, c\right)} + 45 \, e^{\left(-8 \, d x - 8 \, c\right)} + 23\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{16}{15} \, a^{3} {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{4}{5} \, a^{2} b {\left(\frac{5 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} - \frac{5 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{15 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)} + \frac{6}{5} \, a b^{2} {\left(\frac{10 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{5 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}} + \frac{1}{d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} + 1\right)}}\right)}"," ",0,"1/15*b^3*(15*x + 15*c/d - 2*(70*e^(-2*d*x - 2*c) + 140*e^(-4*d*x - 4*c) + 90*e^(-6*d*x - 6*c) + 45*e^(-8*d*x - 8*c) + 23)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 16/15*a^3*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 4/5*a^2*b*(5*e^(-2*d*x - 2*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) - 5*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 15*e^(-6*d*x - 6*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1))) + 6/5*a*b^2*(10*e^(-4*d*x - 4*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 5*e^(-8*d*x - 8*c)/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)) + 1/(d*(5*e^(-2*d*x - 2*c) + 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) + 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) + 1)))","B",0
314,1,646,0,0.497279," ","integrate(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{1}{24} \, b^{3} {\left(\frac{15 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} + \frac{33 \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-3 \, d x - 3 \, c\right)} + 90 \, e^{\left(-5 \, d x - 5 \, c\right)} - 90 \, e^{\left(-7 \, d x - 7 \, c\right)} + 5 \, e^{\left(-9 \, d x - 9 \, c\right)} - 33 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)} - \frac{1}{24} \, a^{3} {\left(\frac{15 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{15 \, e^{\left(-d x - c\right)} + 85 \, e^{\left(-3 \, d x - 3 \, c\right)} + 198 \, e^{\left(-5 \, d x - 5 \, c\right)} - 198 \, e^{\left(-7 \, d x - 7 \, c\right)} - 85 \, e^{\left(-9 \, d x - 9 \, c\right)} - 15 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)} - \frac{1}{8} \, a^{2} b {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} + 17 \, e^{\left(-3 \, d x - 3 \, c\right)} - 114 \, e^{\left(-5 \, d x - 5 \, c\right)} + 114 \, e^{\left(-7 \, d x - 7 \, c\right)} - 17 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)} - \frac{1}{8} \, a b^{2} {\left(\frac{3 \, \arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{3 \, e^{\left(-d x - c\right)} - 47 \, e^{\left(-3 \, d x - 3 \, c\right)} + 78 \, e^{\left(-5 \, d x - 5 \, c\right)} - 78 \, e^{\left(-7 \, d x - 7 \, c\right)} + 47 \, e^{\left(-9 \, d x - 9 \, c\right)} - 3 \, e^{\left(-11 \, d x - 11 \, c\right)}}{d {\left(6 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20 \, e^{\left(-6 \, d x - 6 \, c\right)} + 15 \, e^{\left(-8 \, d x - 8 \, c\right)} + 6 \, e^{\left(-10 \, d x - 10 \, c\right)} + e^{\left(-12 \, d x - 12 \, c\right)} + 1\right)}}\right)}"," ",0,"-1/24*b^3*(15*arctan(e^(-d*x - c))/d + (33*e^(-d*x - c) - 5*e^(-3*d*x - 3*c) + 90*e^(-5*d*x - 5*c) - 90*e^(-7*d*x - 7*c) + 5*e^(-9*d*x - 9*c) - 33*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1))) - 1/24*a^3*(15*arctan(e^(-d*x - c))/d - (15*e^(-d*x - c) + 85*e^(-3*d*x - 3*c) + 198*e^(-5*d*x - 5*c) - 198*e^(-7*d*x - 7*c) - 85*e^(-9*d*x - 9*c) - 15*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1))) - 1/8*a^2*b*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) + 17*e^(-3*d*x - 3*c) - 114*e^(-5*d*x - 5*c) + 114*e^(-7*d*x - 7*c) - 17*e^(-9*d*x - 9*c) - 3*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1))) - 1/8*a*b^2*(3*arctan(e^(-d*x - c))/d - (3*e^(-d*x - c) - 47*e^(-3*d*x - 3*c) + 78*e^(-5*d*x - 5*c) - 78*e^(-7*d*x - 7*c) + 47*e^(-9*d*x - 9*c) - 3*e^(-11*d*x - 11*c))/(d*(6*e^(-2*d*x - 2*c) + 15*e^(-4*d*x - 4*c) + 20*e^(-6*d*x - 6*c) + 15*e^(-8*d*x - 8*c) + 6*e^(-10*d*x - 10*c) + e^(-12*d*x - 12*c) + 1)))","B",0
315,1,1754,0,0.434220," ","integrate(sech(d*x+c)^8*(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{32}{35} \, a^{3} {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}}\right)} + \frac{16}{35} \, a^{2} b {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} - \frac{35 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{70 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}}\right)} + \frac{12}{35} \, a b^{2} {\left(\frac{7 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} - \frac{14 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{70 \, e^{\left(-6 \, d x - 6 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} - \frac{35 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{35 \, e^{\left(-10 \, d x - 10 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}}\right)} + \frac{2}{7} \, b^{3} {\left(\frac{21 \, e^{\left(-4 \, d x - 4 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{35 \, e^{\left(-8 \, d x - 8 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{7 \, e^{\left(-12 \, d x - 12 \, c\right)}}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}} + \frac{1}{d {\left(7 \, e^{\left(-2 \, d x - 2 \, c\right)} + 21 \, e^{\left(-4 \, d x - 4 \, c\right)} + 35 \, e^{\left(-6 \, d x - 6 \, c\right)} + 35 \, e^{\left(-8 \, d x - 8 \, c\right)} + 21 \, e^{\left(-10 \, d x - 10 \, c\right)} + 7 \, e^{\left(-12 \, d x - 12 \, c\right)} + e^{\left(-14 \, d x - 14 \, c\right)} + 1\right)}}\right)}"," ",0,"32/35*a^3*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 1/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1))) + 16/35*a^2*b*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) - 35*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 70*e^(-8*d*x - 8*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 1/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1))) + 12/35*a*b^2*(7*e^(-2*d*x - 2*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) - 14*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 70*e^(-6*d*x - 6*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) - 35*e^(-8*d*x - 8*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 35*e^(-10*d*x - 10*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 1/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1))) + 2/7*b^3*(21*e^(-4*d*x - 4*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 35*e^(-8*d*x - 8*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 7*e^(-12*d*x - 12*c)/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)) + 1/(d*(7*e^(-2*d*x - 2*c) + 21*e^(-4*d*x - 4*c) + 35*e^(-6*d*x - 6*c) + 35*e^(-8*d*x - 8*c) + 21*e^(-10*d*x - 10*c) + 7*e^(-12*d*x - 12*c) + e^(-14*d*x - 14*c) + 1)))","B",0
316,0,0,0,0.000000," ","integrate(cosh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, b^{2} e^{\left(10 \, d x + 10 \, c\right)} - 3 \, b^{2} - 5 \, {\left(4 \, a b e^{\left(8 \, c\right)} - 9 \, b^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 30 \, {\left(8 \, a^{2} e^{\left(6 \, c\right)} - 22 \, a b e^{\left(6 \, c\right)} + 19 \, b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - 30 \, {\left(8 \, a^{2} e^{\left(4 \, c\right)} - 22 \, a b e^{\left(4 \, c\right)} + 19 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 5 \, {\left(4 \, a b e^{\left(2 \, c\right)} - 9 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{480 \, b^{3} d} - \frac{1}{128} \, \int \frac{256 \, {\left({\left(a^{3} e^{\left(3 \, c\right)} - 3 \, a^{2} b e^{\left(3 \, c\right)} + 3 \, a b^{2} e^{\left(3 \, c\right)} - b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a^{3} e^{c} - 3 \, a^{2} b e^{c} + 3 \, a b^{2} e^{c} - b^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{4} e^{\left(4 \, d x + 4 \, c\right)} + b^{4} + 2 \, {\left(2 \, a b^{3} e^{\left(2 \, c\right)} - b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/480*(3*b^2*e^(10*d*x + 10*c) - 3*b^2 - 5*(4*a*b*e^(8*c) - 9*b^2*e^(8*c))*e^(8*d*x) + 30*(8*a^2*e^(6*c) - 22*a*b*e^(6*c) + 19*b^2*e^(6*c))*e^(6*d*x) - 30*(8*a^2*e^(4*c) - 22*a*b*e^(4*c) + 19*b^2*e^(4*c))*e^(4*d*x) + 5*(4*a*b*e^(2*c) - 9*b^2*e^(2*c))*e^(2*d*x))*e^(-5*d*x - 5*c)/(b^3*d) - 1/128*integrate(256*((a^3*e^(3*c) - 3*a^2*b*e^(3*c) + 3*a*b^2*e^(3*c) - b^3*e^(3*c))*e^(3*d*x) + (a^3*e^c - 3*a^2*b*e^c + 3*a*b^2*e^c - b^3*e^c)*e^(d*x))/(b^4*e^(4*d*x + 4*c) + b^4 + 2*(2*a*b^3*e^(2*c) - b^4*e^(2*c))*e^(2*d*x)), x)","F",0
317,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
318,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","-\frac{{\left(3 \, {\left(4 \, a e^{\left(4 \, c\right)} - 7 \, b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 3 \, {\left(4 \, a e^{\left(2 \, c\right)} - 7 \, b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - b e^{\left(6 \, d x + 6 \, c\right)} + b\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, b^{2} d} + \frac{1}{32} \, \int \frac{64 \, {\left({\left(a^{2} e^{\left(3 \, c\right)} - 2 \, a b e^{\left(3 \, c\right)} + b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a^{2} e^{c} - 2 \, a b e^{c} + b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{3} e^{\left(4 \, d x + 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/24*(3*(4*a*e^(4*c) - 7*b*e^(4*c))*e^(4*d*x) - 3*(4*a*e^(2*c) - 7*b*e^(2*c))*e^(2*d*x) - b*e^(6*d*x + 6*c) + b)*e^(-3*d*x - 3*c)/(b^2*d) + 1/32*integrate(64*((a^2*e^(3*c) - 2*a*b*e^(3*c) + b^2*e^(3*c))*e^(3*d*x) + (a^2*e^c - 2*a*b*e^c + b^2*e^c)*e^(d*x))/(b^3*e^(4*d*x + 4*c) + b^3 + 2*(2*a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
319,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
320,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} e^{\left(-d x - c\right)}}{2 \, b d} - \frac{1}{8} \, \int \frac{16 \, {\left({\left(a e^{\left(3 \, c\right)} - b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a e^{c} - b e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{2} e^{\left(4 \, d x + 4 \, c\right)} + b^{2} + 2 \, {\left(2 \, a b e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/2*(e^(2*d*x + 2*c) - 1)*e^(-d*x - c)/(b*d) - 1/8*integrate(16*((a*e^(3*c) - b*e^(3*c))*e^(3*d*x) + (a*e^c - b*e^c)*e^(d*x))/(b^2*e^(4*d*x + 4*c) + b^2 + 2*(2*a*b*e^(2*c) - b^2*e^(2*c))*e^(2*d*x)), x)","F",0
321,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
322,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{b \sinh\left(d x + c\right)^{2} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*sinh(d*x + c)^2 + a), x)","F",0
323,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(e^{\left(d x + c\right)}\right)}{a d - b d} - 2 \, \int \frac{b e^{\left(3 \, d x + 3 \, c\right)} + b e^{\left(d x + c\right)}}{a b - b^{2} + {\left(a b e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{2} e^{\left(2 \, c\right)} - 3 \, a b e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"2*arctan(e^(d*x + c))/(a*d - b*d) - 2*integrate((b*e^(3*d*x + 3*c) + b*e^(d*x + c))/(a*b - b^2 + (a*b*e^(4*c) - b^2*e^(4*c))*e^(4*d*x) + 2*(2*a^2*e^(2*c) - 3*a*b*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
324,-2,0,0,0.000000," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
325,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(a e^{c} - 3 \, b e^{c}\right)} \arctan\left(e^{\left(d x + c\right)}\right) e^{\left(-c\right)}}{a^{2} d - 2 \, a b d + b^{2} d} + \frac{e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}}{a d - b d + {\left(a d e^{\left(4 \, c\right)} - b d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a d e^{\left(2 \, c\right)} - b d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 8 \, \int \frac{b^{2} e^{\left(3 \, d x + 3 \, c\right)} + b^{2} e^{\left(d x + c\right)}}{4 \, {\left(a^{2} b - 2 \, a b^{2} + b^{3} + {\left(a^{2} b e^{\left(4 \, c\right)} - 2 \, a b^{2} e^{\left(4 \, c\right)} + b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{3} e^{\left(2 \, c\right)} - 5 \, a^{2} b e^{\left(2 \, c\right)} + 4 \, a b^{2} e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"(a*e^c - 3*b*e^c)*arctan(e^(d*x + c))*e^(-c)/(a^2*d - 2*a*b*d + b^2*d) + (e^(3*d*x + 3*c) - e^(d*x + c))/(a*d - b*d + (a*d*e^(4*c) - b*d*e^(4*c))*e^(4*d*x) + 2*(a*d*e^(2*c) - b*d*e^(2*c))*e^(2*d*x)) + 8*integrate(1/4*(b^2*e^(3*d*x + 3*c) + b^2*e^(d*x + c))/(a^2*b - 2*a*b^2 + b^3 + (a^2*b*e^(4*c) - 2*a*b^2*e^(4*c) + b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^3*e^(2*c) - 5*a^2*b*e^(2*c) + 4*a*b^2*e^(2*c) - b^3*e^(2*c))*e^(2*d*x)), x)","F",0
326,-2,0,0,0.000000," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
327,0,0,0,0.000000," ","integrate(sech(d*x+c)^5/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, a^{2} e^{c} - 10 \, a b e^{c} + 15 \, b^{2} e^{c}\right)} \arctan\left(e^{\left(d x + c\right)}\right) e^{\left(-c\right)}}{4 \, {\left(a^{3} d - 3 \, a^{2} b d + 3 \, a b^{2} d - b^{3} d\right)}} + \frac{{\left(3 \, a e^{\left(7 \, c\right)} - 7 \, b e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(11 \, a e^{\left(5 \, c\right)} - 15 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(11 \, a e^{\left(3 \, c\right)} - 15 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(3 \, a e^{c} - 7 \, b e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} d - 2 \, a b d + b^{2} d + {\left(a^{2} d e^{\left(8 \, c\right)} - 2 \, a b d e^{\left(8 \, c\right)} + b^{2} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(a^{2} d e^{\left(6 \, c\right)} - 2 \, a b d e^{\left(6 \, c\right)} + b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 6 \, {\left(a^{2} d e^{\left(4 \, c\right)} - 2 \, a b d e^{\left(4 \, c\right)} + b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{2} d e^{\left(2 \, c\right)} - 2 \, a b d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - 32 \, \int \frac{b^{3} e^{\left(3 \, d x + 3 \, c\right)} + b^{3} e^{\left(d x + c\right)}}{16 \, {\left(a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4} + {\left(a^{3} b e^{\left(4 \, c\right)} - 3 \, a^{2} b^{2} e^{\left(4 \, c\right)} + 3 \, a b^{3} e^{\left(4 \, c\right)} - b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{4} e^{\left(2 \, c\right)} - 7 \, a^{3} b e^{\left(2 \, c\right)} + 9 \, a^{2} b^{2} e^{\left(2 \, c\right)} - 5 \, a b^{3} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/4*(3*a^2*e^c - 10*a*b*e^c + 15*b^2*e^c)*arctan(e^(d*x + c))*e^(-c)/(a^3*d - 3*a^2*b*d + 3*a*b^2*d - b^3*d) + 1/4*((3*a*e^(7*c) - 7*b*e^(7*c))*e^(7*d*x) + (11*a*e^(5*c) - 15*b*e^(5*c))*e^(5*d*x) - (11*a*e^(3*c) - 15*b*e^(3*c))*e^(3*d*x) - (3*a*e^c - 7*b*e^c)*e^(d*x))/(a^2*d - 2*a*b*d + b^2*d + (a^2*d*e^(8*c) - 2*a*b*d*e^(8*c) + b^2*d*e^(8*c))*e^(8*d*x) + 4*(a^2*d*e^(6*c) - 2*a*b*d*e^(6*c) + b^2*d*e^(6*c))*e^(6*d*x) + 6*(a^2*d*e^(4*c) - 2*a*b*d*e^(4*c) + b^2*d*e^(4*c))*e^(4*d*x) + 4*(a^2*d*e^(2*c) - 2*a*b*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - 32*integrate(1/16*(b^3*e^(3*d*x + 3*c) + b^3*e^(d*x + c))/(a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4 + (a^3*b*e^(4*c) - 3*a^2*b^2*e^(4*c) + 3*a*b^3*e^(4*c) - b^4*e^(4*c))*e^(4*d*x) + 2*(2*a^4*e^(2*c) - 7*a^3*b*e^(2*c) + 9*a^2*b^2*e^(2*c) - 5*a*b^3*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x)","F",0
328,-2,0,0,0.000000," ","integrate(sech(d*x+c)^6/(a+b*sinh(d*x+c)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
329,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
330,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{a b e^{\left(6 \, d x + 6 \, c\right)} - a b + {\left(6 \, a^{2} e^{\left(4 \, c\right)} - 7 \, a b e^{\left(4 \, c\right)} + 2 \, b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(6 \, a^{2} e^{\left(2 \, c\right)} - 7 \, a b e^{\left(2 \, c\right)} + 2 \, b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}{2 \, {\left(a b^{3} d e^{\left(5 \, d x + 5 \, c\right)} + a b^{3} d e^{\left(d x + c\right)} + 2 \, {\left(2 \, a^{2} b^{2} d e^{\left(3 \, c\right)} - a b^{3} d e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)}\right)}} - \frac{1}{32} \, \int \frac{32 \, {\left({\left(3 \, a^{2} e^{\left(3 \, c\right)} - 2 \, a b e^{\left(3 \, c\right)} - b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(3 \, a^{2} e^{c} - 2 \, a b e^{c} - b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + a b^{3} + 2 \, {\left(2 \, a^{2} b^{2} e^{\left(2 \, c\right)} - a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/2*(a*b*e^(6*d*x + 6*c) - a*b + (6*a^2*e^(4*c) - 7*a*b*e^(4*c) + 2*b^2*e^(4*c))*e^(4*d*x) - (6*a^2*e^(2*c) - 7*a*b*e^(2*c) + 2*b^2*e^(2*c))*e^(2*d*x))/(a*b^3*d*e^(5*d*x + 5*c) + a*b^3*d*e^(d*x + c) + 2*(2*a^2*b^2*d*e^(3*c) - a*b^3*d*e^(3*c))*e^(3*d*x)) - 1/32*integrate(32*((3*a^2*e^(3*c) - 2*a*b*e^(3*c) - b^2*e^(3*c))*e^(3*d*x) + (3*a^2*e^c - 2*a*b*e^c - b^2*e^c)*e^(d*x))/(a*b^3*e^(4*d*x + 4*c) + a*b^3 + 2*(2*a^2*b^2*e^(2*c) - a*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
331,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
332,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{{\left(a e^{\left(3 \, c\right)} - b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a e^{c} - b e^{c}\right)} e^{\left(d x\right)}}{a b^{2} d e^{\left(4 \, d x + 4 \, c\right)} + a b^{2} d + 2 \, {\left(2 \, a^{2} b d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{1}{8} \, \int \frac{8 \, {\left({\left(a e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a e^{c} + b e^{c}\right)} e^{\left(d x\right)}\right)}}{a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + a b^{2} + 2 \, {\left(2 \, a^{2} b e^{\left(2 \, c\right)} - a b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-((a*e^(3*c) - b*e^(3*c))*e^(3*d*x) - (a*e^c - b*e^c)*e^(d*x))/(a*b^2*d*e^(4*d*x + 4*c) + a*b^2*d + 2*(2*a^2*b*d*e^(2*c) - a*b^2*d*e^(2*c))*e^(2*d*x)) + 1/8*integrate(8*((a*e^(3*c) + b*e^(3*c))*e^(3*d*x) + (a*e^c + b*e^c)*e^(d*x))/(a*b^2*e^(4*d*x + 4*c) + a*b^2 + 2*(2*a^2*b*e^(2*c) - a*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
333,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
334,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{e^{\left(3 \, d x + 3 \, c\right)} - e^{\left(d x + c\right)}}{a b d e^{\left(4 \, d x + 4 \, c\right)} + a b d + 2 \, {\left(2 \, a^{2} d e^{\left(2 \, c\right)} - a b d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{1}{2} \, \int \frac{2 \, {\left(e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}\right)}}{a b e^{\left(4 \, d x + 4 \, c\right)} + a b + 2 \, {\left(2 \, a^{2} e^{\left(2 \, c\right)} - a b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"(e^(3*d*x + 3*c) - e^(d*x + c))/(a*b*d*e^(4*d*x + 4*c) + a*b*d + 2*(2*a^2*d*e^(2*c) - a*b*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(2*(e^(3*d*x + 3*c) + e^(d*x + c))/(a*b*e^(4*d*x + 4*c) + a*b + 2*(2*a^2*e^(2*c) - a*b*e^(2*c))*e^(2*d*x)), x)","F",0
335,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{b e^{\left(3 \, d x + 3 \, c\right)} - b e^{\left(d x + c\right)}}{a^{2} b d - a b^{2} d + {\left(a^{2} b d e^{\left(4 \, c\right)} - a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{3} d e^{\left(2 \, c\right)} - 3 \, a^{2} b d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{2 \, \arctan\left(e^{\left(d x + c\right)}\right)}{a^{2} d - 2 \, a b d + b^{2} d} - 2 \, \int \frac{{\left(3 \, a b e^{\left(3 \, c\right)} - b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(3 \, a b e^{c} - b^{2} e^{c}\right)} e^{\left(d x\right)}}{2 \, {\left(a^{3} b - 2 \, a^{2} b^{2} + a b^{3} + {\left(a^{3} b e^{\left(4 \, c\right)} - 2 \, a^{2} b^{2} e^{\left(4 \, c\right)} + a b^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{4} e^{\left(2 \, c\right)} - 5 \, a^{3} b e^{\left(2 \, c\right)} + 4 \, a^{2} b^{2} e^{\left(2 \, c\right)} - a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-(b*e^(3*d*x + 3*c) - b*e^(d*x + c))/(a^2*b*d - a*b^2*d + (a^2*b*d*e^(4*c) - a*b^2*d*e^(4*c))*e^(4*d*x) + 2*(2*a^3*d*e^(2*c) - 3*a^2*b*d*e^(2*c) + a*b^2*d*e^(2*c))*e^(2*d*x)) + 2*arctan(e^(d*x + c))/(a^2*d - 2*a*b*d + b^2*d) - 2*integrate(1/2*((3*a*b*e^(3*c) - b^2*e^(3*c))*e^(3*d*x) + (3*a*b*e^c - b^2*e^c)*e^(d*x))/(a^3*b - 2*a^2*b^2 + a*b^3 + (a^3*b*e^(4*c) - 2*a^2*b^2*e^(4*c) + a*b^3*e^(4*c))*e^(4*d*x) + 2*(2*a^4*e^(2*c) - 5*a^3*b*e^(2*c) + 4*a^2*b^2*e^(2*c) - a*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
336,-2,0,0,0.000000," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
337,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{{\left(a e^{c} - 5 \, b e^{c}\right)} \arctan\left(e^{\left(d x + c\right)}\right) e^{\left(-c\right)}}{a^{3} d - 3 \, a^{2} b d + 3 \, a b^{2} d - b^{3} d} + \frac{{\left(a b e^{\left(7 \, c\right)} + b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(4 \, a^{2} e^{\left(5 \, c\right)} - 3 \, a b e^{\left(5 \, c\right)} + b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(4 \, a^{2} e^{\left(3 \, c\right)} - 3 \, a b e^{\left(3 \, c\right)} + b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a b e^{c} + b^{2} e^{c}\right)} e^{\left(d x\right)}}{a^{3} b d - 2 \, a^{2} b^{2} d + a b^{3} d + {\left(a^{3} b d e^{\left(8 \, c\right)} - 2 \, a^{2} b^{2} d e^{\left(8 \, c\right)} + a b^{3} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(a^{4} d e^{\left(6 \, c\right)} - 2 \, a^{3} b d e^{\left(6 \, c\right)} + a^{2} b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(4 \, a^{4} d e^{\left(4 \, c\right)} - 9 \, a^{3} b d e^{\left(4 \, c\right)} + 6 \, a^{2} b^{2} d e^{\left(4 \, c\right)} - a b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{4} d e^{\left(2 \, c\right)} - 2 \, a^{3} b d e^{\left(2 \, c\right)} + a^{2} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 8 \, \int \frac{{\left(5 \, a b^{2} e^{\left(3 \, c\right)} - b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(5 \, a b^{2} e^{c} - b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{4} b - 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} - a b^{4} + {\left(a^{4} b e^{\left(4 \, c\right)} - 3 \, a^{3} b^{2} e^{\left(4 \, c\right)} + 3 \, a^{2} b^{3} e^{\left(4 \, c\right)} - a b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{5} e^{\left(2 \, c\right)} - 7 \, a^{4} b e^{\left(2 \, c\right)} + 9 \, a^{3} b^{2} e^{\left(2 \, c\right)} - 5 \, a^{2} b^{3} e^{\left(2 \, c\right)} + a b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"(a*e^c - 5*b*e^c)*arctan(e^(d*x + c))*e^(-c)/(a^3*d - 3*a^2*b*d + 3*a*b^2*d - b^3*d) + ((a*b*e^(7*c) + b^2*e^(7*c))*e^(7*d*x) + (4*a^2*e^(5*c) - 3*a*b*e^(5*c) + b^2*e^(5*c))*e^(5*d*x) - (4*a^2*e^(3*c) - 3*a*b*e^(3*c) + b^2*e^(3*c))*e^(3*d*x) - (a*b*e^c + b^2*e^c)*e^(d*x))/(a^3*b*d - 2*a^2*b^2*d + a*b^3*d + (a^3*b*d*e^(8*c) - 2*a^2*b^2*d*e^(8*c) + a*b^3*d*e^(8*c))*e^(8*d*x) + 4*(a^4*d*e^(6*c) - 2*a^3*b*d*e^(6*c) + a^2*b^2*d*e^(6*c))*e^(6*d*x) + 2*(4*a^4*d*e^(4*c) - 9*a^3*b*d*e^(4*c) + 6*a^2*b^2*d*e^(4*c) - a*b^3*d*e^(4*c))*e^(4*d*x) + 4*(a^4*d*e^(2*c) - 2*a^3*b*d*e^(2*c) + a^2*b^2*d*e^(2*c))*e^(2*d*x)) + 8*integrate(1/8*((5*a*b^2*e^(3*c) - b^3*e^(3*c))*e^(3*d*x) + (5*a*b^2*e^c - b^3*e^c)*e^(d*x))/(a^4*b - 3*a^3*b^2 + 3*a^2*b^3 - a*b^4 + (a^4*b*e^(4*c) - 3*a^3*b^2*e^(4*c) + 3*a^2*b^3*e^(4*c) - a*b^4*e^(4*c))*e^(4*d*x) + 2*(2*a^5*e^(2*c) - 7*a^4*b*e^(2*c) + 9*a^3*b^2*e^(2*c) - 5*a^2*b^3*e^(2*c) + a*b^4*e^(2*c))*e^(2*d*x)), x)","F",0
338,-2,0,0,0.000000," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
339,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
340,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, a^{2} b e^{\left(7 \, c\right)} - 2 \, a b^{2} e^{\left(7 \, c\right)} - 3 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(12 \, a^{3} e^{\left(5 \, c\right)} - 7 \, a^{2} b e^{\left(5 \, c\right)} - 14 \, a b^{2} e^{\left(5 \, c\right)} + 9 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(12 \, a^{3} e^{\left(3 \, c\right)} - 7 \, a^{2} b e^{\left(3 \, c\right)} - 14 \, a b^{2} e^{\left(3 \, c\right)} + 9 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, a^{2} b e^{c} - 2 \, a b^{2} e^{c} - 3 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} b^{4} d e^{\left(8 \, d x + 8 \, c\right)} + a^{2} b^{4} d + 4 \, {\left(2 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 8 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{3} b^{3} d e^{\left(2 \, c\right)} - a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{32} \, \int \frac{8 \, {\left({\left(3 \, a^{2} e^{\left(3 \, c\right)} + 2 \, a b e^{\left(3 \, c\right)} + 3 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(3 \, a^{2} e^{c} + 2 \, a b e^{c} + 3 \, b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + a^{2} b^{3} + 2 \, {\left(2 \, a^{3} b^{2} e^{\left(2 \, c\right)} - a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/4*((5*a^2*b*e^(7*c) - 2*a*b^2*e^(7*c) - 3*b^3*e^(7*c))*e^(7*d*x) + (12*a^3*e^(5*c) - 7*a^2*b*e^(5*c) - 14*a*b^2*e^(5*c) + 9*b^3*e^(5*c))*e^(5*d*x) - (12*a^3*e^(3*c) - 7*a^2*b*e^(3*c) - 14*a*b^2*e^(3*c) + 9*b^3*e^(3*c))*e^(3*d*x) - (5*a^2*b*e^c - 2*a*b^2*e^c - 3*b^3*e^c)*e^(d*x))/(a^2*b^4*d*e^(8*d*x + 8*c) + a^2*b^4*d + 4*(2*a^3*b^3*d*e^(6*c) - a^2*b^4*d*e^(6*c))*e^(6*d*x) + 2*(8*a^4*b^2*d*e^(4*c) - 8*a^3*b^3*d*e^(4*c) + 3*a^2*b^4*d*e^(4*c))*e^(4*d*x) + 4*(2*a^3*b^3*d*e^(2*c) - a^2*b^4*d*e^(2*c))*e^(2*d*x)) + 1/32*integrate(8*((3*a^2*e^(3*c) + 2*a*b*e^(3*c) + 3*b^2*e^(3*c))*e^(3*d*x) + (3*a^2*e^c + 2*a*b*e^c + 3*b^2*e^c)*e^(d*x))/(a^2*b^3*e^(4*d*x + 4*c) + a^2*b^3 + 2*(2*a^3*b^2*e^(2*c) - a^2*b^3*e^(2*c))*e^(2*d*x)), x)","F",0
341,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
342,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{{\left(a b e^{\left(7 \, c\right)} + 3 \, b^{2} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - {\left(4 \, a^{2} e^{\left(5 \, c\right)} - 17 \, a b e^{\left(5 \, c\right)} + 9 \, b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(4 \, a^{2} e^{\left(3 \, c\right)} - 17 \, a b e^{\left(3 \, c\right)} + 9 \, b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a b e^{c} + 3 \, b^{2} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} b^{3} d e^{\left(8 \, d x + 8 \, c\right)} + a^{2} b^{3} d + 4 \, {\left(2 \, a^{3} b^{2} d e^{\left(6 \, c\right)} - a^{2} b^{3} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{4} b d e^{\left(4 \, c\right)} - 8 \, a^{3} b^{2} d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{3} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{3} b^{2} d e^{\left(2 \, c\right)} - a^{2} b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{8} \, \int \frac{2 \, {\left({\left(a e^{\left(3 \, c\right)} + 3 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(a e^{c} + 3 \, b e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + a^{2} b^{2} + 2 \, {\left(2 \, a^{3} b e^{\left(2 \, c\right)} - a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"1/4*((a*b*e^(7*c) + 3*b^2*e^(7*c))*e^(7*d*x) - (4*a^2*e^(5*c) - 17*a*b*e^(5*c) + 9*b^2*e^(5*c))*e^(5*d*x) + (4*a^2*e^(3*c) - 17*a*b*e^(3*c) + 9*b^2*e^(3*c))*e^(3*d*x) - (a*b*e^c + 3*b^2*e^c)*e^(d*x))/(a^2*b^3*d*e^(8*d*x + 8*c) + a^2*b^3*d + 4*(2*a^3*b^2*d*e^(6*c) - a^2*b^3*d*e^(6*c))*e^(6*d*x) + 2*(8*a^4*b*d*e^(4*c) - 8*a^3*b^2*d*e^(4*c) + 3*a^2*b^3*d*e^(4*c))*e^(4*d*x) + 4*(2*a^3*b^2*d*e^(2*c) - a^2*b^3*d*e^(2*c))*e^(2*d*x)) + 1/8*integrate(2*((a*e^(3*c) + 3*b*e^(3*c))*e^(3*d*x) + (a*e^c + 3*b*e^c)*e^(d*x))/(a^2*b^2*e^(4*d*x + 4*c) + a^2*b^2 + 2*(2*a^3*b*e^(2*c) - a^2*b^2*e^(2*c))*e^(2*d*x)), x)","F",0
343,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
344,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{{\left(20 \, a e^{\left(5 \, c\right)} - 9 \, b e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(20 \, a e^{\left(3 \, c\right)} - 9 \, b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 3 \, b e^{\left(7 \, d x + 7 \, c\right)} - 3 \, b e^{\left(d x + c\right)}}{4 \, {\left(a^{2} b^{2} d e^{\left(8 \, d x + 8 \, c\right)} + a^{2} b^{2} d + 4 \, {\left(2 \, a^{3} b d e^{\left(6 \, c\right)} - a^{2} b^{2} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{4} d e^{\left(4 \, c\right)} - 8 \, a^{3} b d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{3} b d e^{\left(2 \, c\right)} - a^{2} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{1}{2} \, \int \frac{3 \, {\left(e^{\left(3 \, d x + 3 \, c\right)} + e^{\left(d x + c\right)}\right)}}{2 \, {\left(a^{2} b e^{\left(4 \, d x + 4 \, c\right)} + a^{2} b + 2 \, {\left(2 \, a^{3} e^{\left(2 \, c\right)} - a^{2} b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"1/4*((20*a*e^(5*c) - 9*b*e^(5*c))*e^(5*d*x) - (20*a*e^(3*c) - 9*b*e^(3*c))*e^(3*d*x) + 3*b*e^(7*d*x + 7*c) - 3*b*e^(d*x + c))/(a^2*b^2*d*e^(8*d*x + 8*c) + a^2*b^2*d + 4*(2*a^3*b*d*e^(6*c) - a^2*b^2*d*e^(6*c))*e^(6*d*x) + 2*(8*a^4*d*e^(4*c) - 8*a^3*b*d*e^(4*c) + 3*a^2*b^2*d*e^(4*c))*e^(4*d*x) + 4*(2*a^3*b*d*e^(2*c) - a^2*b^2*d*e^(2*c))*e^(2*d*x)) + 1/2*integrate(3/2*(e^(3*d*x + 3*c) + e^(d*x + c))/(a^2*b*e^(4*d*x + 4*c) + a^2*b + 2*(2*a^3*e^(2*c) - a^2*b*e^(2*c))*e^(2*d*x)), x)","F",0
345,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{{\left(7 \, a b^{2} e^{\left(7 \, c\right)} - 3 \, b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} + {\left(36 \, a^{2} b e^{\left(5 \, c\right)} - 41 \, a b^{2} e^{\left(5 \, c\right)} + 9 \, b^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(36 \, a^{2} b e^{\left(3 \, c\right)} - 41 \, a b^{2} e^{\left(3 \, c\right)} + 9 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(7 \, a b^{2} e^{c} - 3 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{4} b^{2} d - 2 \, a^{3} b^{3} d + a^{2} b^{4} d + {\left(a^{4} b^{2} d e^{\left(8 \, c\right)} - 2 \, a^{3} b^{3} d e^{\left(8 \, c\right)} + a^{2} b^{4} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(2 \, a^{5} b d e^{\left(6 \, c\right)} - 5 \, a^{4} b^{2} d e^{\left(6 \, c\right)} + 4 \, a^{3} b^{3} d e^{\left(6 \, c\right)} - a^{2} b^{4} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + 2 \, {\left(8 \, a^{6} d e^{\left(4 \, c\right)} - 24 \, a^{5} b d e^{\left(4 \, c\right)} + 27 \, a^{4} b^{2} d e^{\left(4 \, c\right)} - 14 \, a^{3} b^{3} d e^{\left(4 \, c\right)} + 3 \, a^{2} b^{4} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(2 \, a^{5} b d e^{\left(2 \, c\right)} - 5 \, a^{4} b^{2} d e^{\left(2 \, c\right)} + 4 \, a^{3} b^{3} d e^{\left(2 \, c\right)} - a^{2} b^{4} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + \frac{2 \, \arctan\left(e^{\left(d x + c\right)}\right)}{a^{3} d - 3 \, a^{2} b d + 3 \, a b^{2} d - b^{3} d} - 2 \, \int \frac{{\left(15 \, a^{2} b e^{\left(3 \, c\right)} - 10 \, a b^{2} e^{\left(3 \, c\right)} + 3 \, b^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(15 \, a^{2} b e^{c} - 10 \, a b^{2} e^{c} + 3 \, b^{3} e^{c}\right)} e^{\left(d x\right)}}{8 \, {\left(a^{5} b - 3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - a^{2} b^{4} + {\left(a^{5} b e^{\left(4 \, c\right)} - 3 \, a^{4} b^{2} e^{\left(4 \, c\right)} + 3 \, a^{3} b^{3} e^{\left(4 \, c\right)} - a^{2} b^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{6} e^{\left(2 \, c\right)} - 7 \, a^{5} b e^{\left(2 \, c\right)} + 9 \, a^{4} b^{2} e^{\left(2 \, c\right)} - 5 \, a^{3} b^{3} e^{\left(2 \, c\right)} + a^{2} b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-1/4*((7*a*b^2*e^(7*c) - 3*b^3*e^(7*c))*e^(7*d*x) + (36*a^2*b*e^(5*c) - 41*a*b^2*e^(5*c) + 9*b^3*e^(5*c))*e^(5*d*x) - (36*a^2*b*e^(3*c) - 41*a*b^2*e^(3*c) + 9*b^3*e^(3*c))*e^(3*d*x) - (7*a*b^2*e^c - 3*b^3*e^c)*e^(d*x))/(a^4*b^2*d - 2*a^3*b^3*d + a^2*b^4*d + (a^4*b^2*d*e^(8*c) - 2*a^3*b^3*d*e^(8*c) + a^2*b^4*d*e^(8*c))*e^(8*d*x) + 4*(2*a^5*b*d*e^(6*c) - 5*a^4*b^2*d*e^(6*c) + 4*a^3*b^3*d*e^(6*c) - a^2*b^4*d*e^(6*c))*e^(6*d*x) + 2*(8*a^6*d*e^(4*c) - 24*a^5*b*d*e^(4*c) + 27*a^4*b^2*d*e^(4*c) - 14*a^3*b^3*d*e^(4*c) + 3*a^2*b^4*d*e^(4*c))*e^(4*d*x) + 4*(2*a^5*b*d*e^(2*c) - 5*a^4*b^2*d*e^(2*c) + 4*a^3*b^3*d*e^(2*c) - a^2*b^4*d*e^(2*c))*e^(2*d*x)) + 2*arctan(e^(d*x + c))/(a^3*d - 3*a^2*b*d + 3*a*b^2*d - b^3*d) - 2*integrate(1/8*((15*a^2*b*e^(3*c) - 10*a*b^2*e^(3*c) + 3*b^3*e^(3*c))*e^(3*d*x) + (15*a^2*b*e^c - 10*a*b^2*e^c + 3*b^3*e^c)*e^(d*x))/(a^5*b - 3*a^4*b^2 + 3*a^3*b^3 - a^2*b^4 + (a^5*b*e^(4*c) - 3*a^4*b^2*e^(4*c) + 3*a^3*b^3*e^(4*c) - a^2*b^4*e^(4*c))*e^(4*d*x) + 2*(2*a^6*e^(2*c) - 7*a^5*b*e^(2*c) + 9*a^4*b^2*e^(2*c) - 5*a^3*b^3*e^(2*c) + a^2*b^4*e^(2*c))*e^(2*d*x)), x)","F",0
346,-2,0,0,0.000000," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
347,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{{\left(a e^{c} - 7 \, b e^{c}\right)} \arctan\left(e^{\left(d x + c\right)}\right) e^{\left(-c\right)}}{a^{4} d - 4 \, a^{3} b d + 6 \, a^{2} b^{2} d - 4 \, a b^{3} d + b^{4} d} + \frac{{\left(4 \, a^{2} b^{2} e^{\left(11 \, c\right)} + 11 \, a b^{3} e^{\left(11 \, c\right)} - 3 \, b^{4} e^{\left(11 \, c\right)}\right)} e^{\left(11 \, d x\right)} + {\left(32 \, a^{3} b e^{\left(9 \, c\right)} + 32 \, a^{2} b^{2} e^{\left(9 \, c\right)} - 31 \, a b^{3} e^{\left(9 \, c\right)} + 3 \, b^{4} e^{\left(9 \, c\right)}\right)} e^{\left(9 \, d x\right)} + 2 \, {\left(32 \, a^{4} e^{\left(7 \, c\right)} - 48 \, a^{3} b e^{\left(7 \, c\right)} + 46 \, a^{2} b^{2} e^{\left(7 \, c\right)} - 21 \, a b^{3} e^{\left(7 \, c\right)} + 3 \, b^{4} e^{\left(7 \, c\right)}\right)} e^{\left(7 \, d x\right)} - 2 \, {\left(32 \, a^{4} e^{\left(5 \, c\right)} - 48 \, a^{3} b e^{\left(5 \, c\right)} + 46 \, a^{2} b^{2} e^{\left(5 \, c\right)} - 21 \, a b^{3} e^{\left(5 \, c\right)} + 3 \, b^{4} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - {\left(32 \, a^{3} b e^{\left(3 \, c\right)} + 32 \, a^{2} b^{2} e^{\left(3 \, c\right)} - 31 \, a b^{3} e^{\left(3 \, c\right)} + 3 \, b^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(4 \, a^{2} b^{2} e^{c} + 11 \, a b^{3} e^{c} - 3 \, b^{4} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{5} b^{2} d - 3 \, a^{4} b^{3} d + 3 \, a^{3} b^{4} d - a^{2} b^{5} d + {\left(a^{5} b^{2} d e^{\left(12 \, c\right)} - 3 \, a^{4} b^{3} d e^{\left(12 \, c\right)} + 3 \, a^{3} b^{4} d e^{\left(12 \, c\right)} - a^{2} b^{5} d e^{\left(12 \, c\right)}\right)} e^{\left(12 \, d x\right)} + 2 \, {\left(4 \, a^{6} b d e^{\left(10 \, c\right)} - 13 \, a^{5} b^{2} d e^{\left(10 \, c\right)} + 15 \, a^{4} b^{3} d e^{\left(10 \, c\right)} - 7 \, a^{3} b^{4} d e^{\left(10 \, c\right)} + a^{2} b^{5} d e^{\left(10 \, c\right)}\right)} e^{\left(10 \, d x\right)} + {\left(16 \, a^{7} d e^{\left(8 \, c\right)} - 48 \, a^{6} b d e^{\left(8 \, c\right)} + 47 \, a^{5} b^{2} d e^{\left(8 \, c\right)} - 13 \, a^{4} b^{3} d e^{\left(8 \, c\right)} - 3 \, a^{3} b^{4} d e^{\left(8 \, c\right)} + a^{2} b^{5} d e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} + 4 \, {\left(8 \, a^{7} d e^{\left(6 \, c\right)} - 28 \, a^{6} b d e^{\left(6 \, c\right)} + 37 \, a^{5} b^{2} d e^{\left(6 \, c\right)} - 23 \, a^{4} b^{3} d e^{\left(6 \, c\right)} + 7 \, a^{3} b^{4} d e^{\left(6 \, c\right)} - a^{2} b^{5} d e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} + {\left(16 \, a^{7} d e^{\left(4 \, c\right)} - 48 \, a^{6} b d e^{\left(4 \, c\right)} + 47 \, a^{5} b^{2} d e^{\left(4 \, c\right)} - 13 \, a^{4} b^{3} d e^{\left(4 \, c\right)} - 3 \, a^{3} b^{4} d e^{\left(4 \, c\right)} + a^{2} b^{5} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(4 \, a^{6} b d e^{\left(2 \, c\right)} - 13 \, a^{5} b^{2} d e^{\left(2 \, c\right)} + 15 \, a^{4} b^{3} d e^{\left(2 \, c\right)} - 7 \, a^{3} b^{4} d e^{\left(2 \, c\right)} + a^{2} b^{5} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} + 8 \, \int \frac{{\left(35 \, a^{2} b^{2} e^{\left(3 \, c\right)} - 14 \, a b^{3} e^{\left(3 \, c\right)} + 3 \, b^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(35 \, a^{2} b^{2} e^{c} - 14 \, a b^{3} e^{c} + 3 \, b^{4} e^{c}\right)} e^{\left(d x\right)}}{32 \, {\left(a^{6} b - 4 \, a^{5} b^{2} + 6 \, a^{4} b^{3} - 4 \, a^{3} b^{4} + a^{2} b^{5} + {\left(a^{6} b e^{\left(4 \, c\right)} - 4 \, a^{5} b^{2} e^{\left(4 \, c\right)} + 6 \, a^{4} b^{3} e^{\left(4 \, c\right)} - 4 \, a^{3} b^{4} e^{\left(4 \, c\right)} + a^{2} b^{5} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(2 \, a^{7} e^{\left(2 \, c\right)} - 9 \, a^{6} b e^{\left(2 \, c\right)} + 16 \, a^{5} b^{2} e^{\left(2 \, c\right)} - 14 \, a^{4} b^{3} e^{\left(2 \, c\right)} + 6 \, a^{3} b^{4} e^{\left(2 \, c\right)} - a^{2} b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"(a*e^c - 7*b*e^c)*arctan(e^(d*x + c))*e^(-c)/(a^4*d - 4*a^3*b*d + 6*a^2*b^2*d - 4*a*b^3*d + b^4*d) + 1/4*((4*a^2*b^2*e^(11*c) + 11*a*b^3*e^(11*c) - 3*b^4*e^(11*c))*e^(11*d*x) + (32*a^3*b*e^(9*c) + 32*a^2*b^2*e^(9*c) - 31*a*b^3*e^(9*c) + 3*b^4*e^(9*c))*e^(9*d*x) + 2*(32*a^4*e^(7*c) - 48*a^3*b*e^(7*c) + 46*a^2*b^2*e^(7*c) - 21*a*b^3*e^(7*c) + 3*b^4*e^(7*c))*e^(7*d*x) - 2*(32*a^4*e^(5*c) - 48*a^3*b*e^(5*c) + 46*a^2*b^2*e^(5*c) - 21*a*b^3*e^(5*c) + 3*b^4*e^(5*c))*e^(5*d*x) - (32*a^3*b*e^(3*c) + 32*a^2*b^2*e^(3*c) - 31*a*b^3*e^(3*c) + 3*b^4*e^(3*c))*e^(3*d*x) - (4*a^2*b^2*e^c + 11*a*b^3*e^c - 3*b^4*e^c)*e^(d*x))/(a^5*b^2*d - 3*a^4*b^3*d + 3*a^3*b^4*d - a^2*b^5*d + (a^5*b^2*d*e^(12*c) - 3*a^4*b^3*d*e^(12*c) + 3*a^3*b^4*d*e^(12*c) - a^2*b^5*d*e^(12*c))*e^(12*d*x) + 2*(4*a^6*b*d*e^(10*c) - 13*a^5*b^2*d*e^(10*c) + 15*a^4*b^3*d*e^(10*c) - 7*a^3*b^4*d*e^(10*c) + a^2*b^5*d*e^(10*c))*e^(10*d*x) + (16*a^7*d*e^(8*c) - 48*a^6*b*d*e^(8*c) + 47*a^5*b^2*d*e^(8*c) - 13*a^4*b^3*d*e^(8*c) - 3*a^3*b^4*d*e^(8*c) + a^2*b^5*d*e^(8*c))*e^(8*d*x) + 4*(8*a^7*d*e^(6*c) - 28*a^6*b*d*e^(6*c) + 37*a^5*b^2*d*e^(6*c) - 23*a^4*b^3*d*e^(6*c) + 7*a^3*b^4*d*e^(6*c) - a^2*b^5*d*e^(6*c))*e^(6*d*x) + (16*a^7*d*e^(4*c) - 48*a^6*b*d*e^(4*c) + 47*a^5*b^2*d*e^(4*c) - 13*a^4*b^3*d*e^(4*c) - 3*a^3*b^4*d*e^(4*c) + a^2*b^5*d*e^(4*c))*e^(4*d*x) + 2*(4*a^6*b*d*e^(2*c) - 13*a^5*b^2*d*e^(2*c) + 15*a^4*b^3*d*e^(2*c) - 7*a^3*b^4*d*e^(2*c) + a^2*b^5*d*e^(2*c))*e^(2*d*x)) + 8*integrate(1/32*((35*a^2*b^2*e^(3*c) - 14*a*b^3*e^(3*c) + 3*b^4*e^(3*c))*e^(3*d*x) + (35*a^2*b^2*e^c - 14*a*b^3*e^c + 3*b^4*e^c)*e^(d*x))/(a^6*b - 4*a^5*b^2 + 6*a^4*b^3 - 4*a^3*b^4 + a^2*b^5 + (a^6*b*e^(4*c) - 4*a^5*b^2*e^(4*c) + 6*a^4*b^3*e^(4*c) - 4*a^3*b^4*e^(4*c) + a^2*b^5*e^(4*c))*e^(4*d*x) + 2*(2*a^7*e^(2*c) - 9*a^6*b*e^(2*c) + 16*a^5*b^2*e^(2*c) - 14*a^4*b^3*e^(2*c) + 6*a^3*b^4*e^(2*c) - a^2*b^5*e^(2*c))*e^(2*d*x)), x)","F",0
348,-2,0,0,0.000000," ","integrate(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive or negative?","F(-2)",0
349,1,64,0,0.487313," ","integrate(cosh(x)^2/(1-sinh(x)^2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right) - x"," ",0,"1/2*sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - 1/2*sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1)) - x","B",0
350,1,39,0,0.458716," ","integrate(cosh(x)^3/(1-sinh(x)^2),x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(-x\right)} - \frac{1}{2} \, e^{x} - \log\left(2 \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1\right) + \log\left(-2 \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1\right)"," ",0,"1/2*e^(-x) - 1/2*e^x - log(2*e^(-x) + e^(-2*x) - 1) + log(-2*e^(-x) + e^(-2*x) - 1)","B",0
351,1,75,0,0.614620," ","integrate(cosh(x)^4/(1-sinh(x)^2),x, algorithm=""maxima"")","\sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} + 1}{\sqrt{2} + e^{\left(-x\right)} - 1}\right) - \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - 1}{\sqrt{2} + e^{\left(-x\right)} + 1}\right) - \frac{5}{2} \, x - \frac{1}{8} \, e^{\left(2 \, x\right)} + \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"sqrt(2)*log(-(sqrt(2) - e^(-x) + 1)/(sqrt(2) + e^(-x) - 1)) - sqrt(2)*log(-(sqrt(2) - e^(-x) - 1)/(sqrt(2) + e^(-x) + 1)) - 5/2*x - 1/8*e^(2*x) + 1/8*e^(-2*x)","B",0
352,0,0,0,0.000000," ","integrate(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \cosh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*cosh(f*x + e)^3, x)","F",0
353,0,0,0,0.000000," ","integrate(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \cosh\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*cosh(f*x + e), x)","F",0
354,0,0,0,0.000000," ","integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{sech}\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sech(f*x + e), x)","F",0
355,0,0,0,0.000000," ","integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{sech}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sech(f*x + e)^3, x)","F",0
356,0,0,0,0.000000," ","integrate(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{sech}\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sech(f*x + e)^5, x)","F",0
357,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \cosh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*cosh(f*x + e)^4, x)","F",0
358,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \cosh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*cosh(f*x + e)^2, x)","F",0
359,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
360,0,0,0,0.000000," ","integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{sech}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sech(f*x + e)^2, x)","F",0
361,0,0,0,0.000000," ","integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \operatorname{sech}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*sech(f*x + e)^4, x)","F",0
362,0,0,0,0.000000," ","integrate(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cosh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*cosh(f*x + e)^3, x)","F",0
363,0,0,0,0.000000," ","integrate(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cosh\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*cosh(f*x + e), x)","F",0
364,0,0,0,0.000000," ","integrate(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e), x)","F",0
365,0,0,0,0.000000," ","integrate(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e)^3, x)","F",0
366,0,0,0,0.000000," ","integrate(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e)^5, x)","F",0
367,0,0,0,0.000000," ","integrate(sech(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)^{7}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e)^7, x)","F",0
368,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cosh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*cosh(f*x + e)^4, x)","F",0
369,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cosh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*cosh(f*x + e)^2, x)","F",0
370,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
371,0,0,0,0.000000," ","integrate(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e)^2, x)","F",0
372,0,0,0,0.000000," ","integrate(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \operatorname{sech}\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*sech(f*x + e)^4, x)","F",0
373,0,0,0,0.000000," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
374,0,0,0,0.000000," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cosh(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
375,0,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sech(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
376,0,0,0,0.000000," ","integrate(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sech(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
377,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
378,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
379,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
380,0,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sech(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
381,0,0,0,0.000000," ","integrate(sech(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sech(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
382,0,0,0,0.000000," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
383,1,236,0,0.831983," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} e^{\left(-6 \, f x - 6 \, e\right)} + 2 \, a b - b^{2} + {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, {\left(2 \, a b - b^{2}\right)} e^{\left(-4 \, f x - 4 \, e\right)}}{2 \, {\left(a^{2} - a b\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{3}{2}} f} - \frac{b^{2} + 3 \, {\left(2 \, a b - b^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + {\left(2 \, a b - b^{2}\right)} e^{\left(-6 \, f x - 6 \, e\right)}}{2 \, {\left(a^{2} - a b\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{3}{2}} f}"," ",0,"1/2*(b^2*e^(-6*f*x - 6*e) + 2*a*b - b^2 + (8*a^2 - 8*a*b + 3*b^2)*e^(-2*f*x - 2*e) + 3*(2*a*b - b^2)*e^(-4*f*x - 4*e))/((a^2 - a*b)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(3/2)*f) - 1/2*(b^2 + 3*(2*a*b - b^2)*e^(-2*f*x - 2*e) + (8*a^2 - 8*a*b + 3*b^2)*e^(-4*f*x - 4*e) + (2*a*b - b^2)*e^(-6*f*x - 6*e))/((a^2 - a*b)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(3/2)*f)","B",0
384,0,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sech(f*x + e)/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
385,0,0,0,0.000000," ","integrate(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sech(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
386,0,0,0,0.000000," ","integrate(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{6}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^6/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
387,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
388,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
389,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-3/2), x)","F",0
390,0,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sech(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
391,0,0,0,0.000000," ","integrate(cosh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
392,1,927,0,0.516750," ","integrate(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{4} e^{\left(-10 \, f x - 10 \, e\right)} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - b^{4} - {\left(16 \, a^{4} - 32 \, a^{3} b + 6 \, a^{2} b^{2} + 10 \, a b^{3} - 5 \, b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(2 \, a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(3 \, a^{2} b^{2} - 3 \, a b^{3} + b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)}}{12 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} + \frac{2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{4 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} - \frac{2 \, a b^{3} - b^{4} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{4 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} + \frac{b^{4} + 5 \, {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(3 \, a^{2} b^{2} - 3 \, a b^{3} + b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(2 \, a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} - {\left(16 \, a^{4} - 32 \, a^{3} b + 6 \, a^{2} b^{2} + 10 \, a b^{3} - 5 \, b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} - {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{12 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f}"," ",0,"-1/12*(b^4*e^(-10*f*x - 10*e) - 4*a^3*b + 6*a^2*b^2 - b^4 - (16*a^4 - 32*a^3*b + 6*a^2*b^2 + 10*a*b^3 - 5*b^4)*e^(-2*f*x - 2*e) + 10*(2*a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 10*(3*a^2*b^2 - 3*a*b^3 + b^4)*e^(-6*f*x - 6*e) + 5*(2*a*b^3 - b^4)*e^(-8*f*x - 8*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) + 1/4*(2*a^2*b^2 - 2*a*b^3 + b^4 + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-4*f*x - 4*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-6*f*x - 6*e) + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-8*f*x - 8*e) + (2*a*b^3 - b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) - 1/4*(2*a*b^3 - b^4 + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-2*f*x - 2*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-6*f*x - 6*e) + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-8*f*x - 8*e) + (2*a^2*b^2 - 2*a*b^3 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) + 1/12*(b^4 + 5*(2*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 10*(3*a^2*b^2 - 3*a*b^3 + b^4)*e^(-4*f*x - 4*e) + 10*(2*a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*e^(-6*f*x - 6*e) - (16*a^4 - 32*a^3*b + 6*a^2*b^2 + 10*a*b^3 - 5*b^4)*e^(-8*f*x - 8*e) - (4*a^3*b - 6*a^2*b^2 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f)","B",0
393,1,485,0,0.468229," ","integrate(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a b^{3} - b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{3 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f} - \frac{2 \, a b^{3} - b^{4} + 5 \, {\left(4 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, {\left(6 \, a^{3} b - 9 \, a^{2} b^{2} + 5 \, a b^{3} - b^{4}\right)} e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, {\left(24 \, a^{4} - 48 \, a^{3} b + 49 \, a^{2} b^{2} - 25 \, a b^{3} + 5 \, b^{4}\right)} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, {\left(4 \, a^{3} b - 6 \, a^{2} b^{2} + 4 \, a b^{3} - b^{4}\right)} e^{\left(-8 \, f x - 8 \, e\right)} + {\left(2 \, a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} e^{\left(-10 \, f x - 10 \, e\right)}}{3 \, {\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(2 \, {\left(2 \, a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} + b e^{\left(-4 \, f x - 4 \, e\right)} + b\right)}^{\frac{5}{2}} f}"," ",0,"1/3*(2*a^2*b^2 - 2*a*b^3 + b^4 + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-2*f*x - 2*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-4*f*x - 4*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-6*f*x - 6*e) + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-8*f*x - 8*e) + (2*a*b^3 - b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f) - 1/3*(2*a*b^3 - b^4 + 5*(4*a^2*b^2 - 4*a*b^3 + b^4)*e^(-2*f*x - 2*e) + 10*(6*a^3*b - 9*a^2*b^2 + 5*a*b^3 - b^4)*e^(-4*f*x - 4*e) + 2*(24*a^4 - 48*a^3*b + 49*a^2*b^2 - 25*a*b^3 + 5*b^4)*e^(-6*f*x - 6*e) + 5*(4*a^3*b - 6*a^2*b^2 + 4*a*b^3 - b^4)*e^(-8*f*x - 8*e) + (2*a^2*b^2 - 2*a*b^3 + b^4)*e^(-10*f*x - 10*e))/((a^4 - 2*a^3*b + a^2*b^2)*(2*(2*a - b)*e^(-2*f*x - 2*e) + b*e^(-4*f*x - 4*e) + b)^(5/2)*f)","B",0
394,0,0,0,0.000000," ","integrate(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sech(f*x + e)/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
395,0,0,0,0.000000," ","integrate(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{6}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^6/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
396,0,0,0,0.000000," ","integrate(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
397,0,0,0,0.000000," ","integrate(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\cosh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
398,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-5/2), x)","F",0
399,0,0,0,0.000000," ","integrate(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sech(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
400,0,0,0,0.000000," ","integrate((d*cosh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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,-1,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
416,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)^{3}}{{\left(b \sqrt{\sinh\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)^3/(b*sqrt(sinh(d*x + c)) + a)^2, x)","F",0
417,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b \sqrt{\sinh\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*sqrt(sinh(d*x + c)) + a)^2, x)","F",0
418,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(d x + c\right)}{{\left(b \sqrt{\sinh\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sech(d*x + c)/(b*sqrt(sinh(d*x + c)) + a)^2, x)","F",0
419,0,0,0,0.000000," ","integrate(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\frac{{\left(2^{n} e^{\left(c n + 10 \, d x + 10 \, c\right)} + 3 \cdot 2^{n} e^{\left(c n + 8 \, d x + 8 \, c\right)} + 2^{n + 1} e^{\left(c n + 6 \, d x + 6 \, c\right)} - 2^{n + 1} e^{\left(c n + 4 \, d x + 4 \, c\right)} - 3 \cdot 2^{n} e^{\left(c n + 2 \, d x + 2 \, c\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(d n x\right)}}{32 \, {\left(2^{n} a^{2} d n e^{\left(d n x + c n + 5 \, d x + 5 \, c\right)} + a b d n e^{\left(5 \, d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + 5 \, c\right)}\right)}} + \frac{1}{32} \, \int \frac{{\left(2^{n} n e^{\left(c n\right)} - 5 \cdot 2^{n} e^{\left(c n\right)} + {\left(2^{n} n e^{\left(c n\right)} - 5 \cdot 2^{n} e^{\left(c n\right)}\right)} e^{\left(10 \, d x + 10 \, c\right)} + {\left(5 \cdot 2^{n} n e^{\left(c n\right)} - 9 \cdot 2^{n} e^{\left(c n\right)}\right)} e^{\left(8 \, d x + 8 \, c\right)} + {\left(5 \cdot 2^{n + 1} n e^{\left(c n\right)} - 2^{n + 1} e^{\left(c n\right)}\right)} e^{\left(6 \, d x + 6 \, c\right)} + {\left(5 \cdot 2^{n + 1} n e^{\left(c n\right)} - 2^{n + 1} e^{\left(c n\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)} + {\left(5 \cdot 2^{n} n e^{\left(c n\right)} - 9 \cdot 2^{n} e^{\left(c n\right)}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)} e^{\left(d n x\right)}}{2^{n} a^{2} n e^{\left(d n x + c n + 5 \, d x + 5 \, c\right)} + a b n e^{\left(5 \, d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + 5 \, c\right)}}\,{d x}"," ",0,"1/32*(2^n*e^(c*n + 10*d*x + 10*c) + 3*2^n*e^(c*n + 8*d*x + 8*c) + 2^(n + 1)*e^(c*n + 6*d*x + 6*c) - 2^(n + 1)*e^(c*n + 4*d*x + 4*c) - 3*2^n*e^(c*n + 2*d*x + 2*c) - 2^n*e^(c*n))*e^(d*n*x)/(2^n*a^2*d*n*e^(d*n*x + c*n + 5*d*x + 5*c) + a*b*d*n*e^(5*d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + 5*c)) + 1/32*integrate((2^n*n*e^(c*n) - 5*2^n*e^(c*n) + (2^n*n*e^(c*n) - 5*2^n*e^(c*n))*e^(10*d*x + 10*c) + (5*2^n*n*e^(c*n) - 9*2^n*e^(c*n))*e^(8*d*x + 8*c) + (5*2^(n + 1)*n*e^(c*n) - 2^(n + 1)*e^(c*n))*e^(6*d*x + 6*c) + (5*2^(n + 1)*n*e^(c*n) - 2^(n + 1)*e^(c*n))*e^(4*d*x + 4*c) + (5*2^n*n*e^(c*n) - 9*2^n*e^(c*n))*e^(2*d*x + 2*c))*e^(d*n*x)/(2^n*a^2*n*e^(d*n*x + c*n + 5*d*x + 5*c) + a*b*n*e^(5*d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + 5*c)), 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=""maxima"")","\frac{{\left(2^{n} e^{\left(c n + 6 \, d x + 6 \, c\right)} + 2^{n} e^{\left(c n + 4 \, d x + 4 \, c\right)} - 2^{n} e^{\left(c n + 2 \, d x + 2 \, c\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(d n x\right)}}{8 \, {\left(2^{n} a^{2} d n e^{\left(d n x + c n + 3 \, d x + 3 \, c\right)} + a b d n e^{\left(3 \, d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + 3 \, c\right)}\right)}} + \frac{1}{8} \, \int \frac{{\left(2^{n} n e^{\left(c n\right)} - 3 \cdot 2^{n} e^{\left(c n\right)} + {\left(2^{n} n e^{\left(c n\right)} - 3 \cdot 2^{n} e^{\left(c n\right)}\right)} e^{\left(6 \, d x + 6 \, c\right)} + {\left(3 \cdot 2^{n} n e^{\left(c n\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)} + {\left(3 \cdot 2^{n} n e^{\left(c n\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)} e^{\left(d n x\right)}}{2^{n} a^{2} n e^{\left(d n x + c n + 3 \, d x + 3 \, c\right)} + a b n e^{\left(3 \, d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + 3 \, c\right)}}\,{d x}"," ",0,"1/8*(2^n*e^(c*n + 6*d*x + 6*c) + 2^n*e^(c*n + 4*d*x + 4*c) - 2^n*e^(c*n + 2*d*x + 2*c) - 2^n*e^(c*n))*e^(d*n*x)/(2^n*a^2*d*n*e^(d*n*x + c*n + 3*d*x + 3*c) + a*b*d*n*e^(3*d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + 3*c)) + 1/8*integrate((2^n*n*e^(c*n) - 3*2^n*e^(c*n) + (2^n*n*e^(c*n) - 3*2^n*e^(c*n))*e^(6*d*x + 6*c) + (3*2^n*n*e^(c*n) - 2^n*e^(c*n))*e^(4*d*x + 4*c) + (3*2^n*n*e^(c*n) - 2^n*e^(c*n))*e^(2*d*x + 2*c))*e^(d*n*x)/(2^n*a^2*n*e^(d*n*x + c*n + 3*d*x + 3*c) + a*b*n*e^(3*d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + 3*c)), x)","F",0
424,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)^n)^2,x, algorithm=""maxima"")","\frac{{\left(2^{n} e^{\left(c n + 2 \, d x + 2 \, c\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(d n x\right)}}{2 \, {\left(2^{n} a^{2} d n e^{\left(d n x + c n + d x + c\right)} + a b d n e^{\left(d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + c\right)}\right)}} + \frac{1}{2} \, \int \frac{{\left(2^{n} n e^{\left(c n\right)} - 2^{n} e^{\left(c n\right)} + {\left(2^{n} n e^{\left(c n\right)} - 2^{n} e^{\left(c n\right)}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)} e^{\left(d n x\right)}}{2^{n} a^{2} n e^{\left(d n x + c n + d x + c\right)} + a b n e^{\left(d x + n \log\left(e^{\left(d x + c\right)} + 1\right) + n \log\left(e^{\left(d x + c\right)} - 1\right) + c\right)}}\,{d x}"," ",0,"1/2*(2^n*e^(c*n + 2*d*x + 2*c) - 2^n*e^(c*n))*e^(d*n*x)/(2^n*a^2*d*n*e^(d*n*x + c*n + d*x + c) + a*b*d*n*e^(d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + c)) + 1/2*integrate((2^n*n*e^(c*n) - 2^n*e^(c*n) + (2^n*n*e^(c*n) - 2^n*e^(c*n))*e^(2*d*x + 2*c))*e^(d*n*x)/(2^n*a^2*n*e^(d*n*x + c*n + d*x + c) + a*b*n*e^(d*x + n*log(e^(d*x + c) + 1) + n*log(e^(d*x + c) - 1) + c)), x)","F",0
425,1,45,0,0.330098," ","integrate(coth(x)/(1-sinh(x)^2),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(2 \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1\right) + \log\left(e^{\left(-x\right)} + 1\right) + \log\left(e^{\left(-x\right)} - 1\right) - \frac{1}{2} \, \log\left(-2 \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1\right)"," ",0,"-1/2*log(2*e^(-x) + e^(-2*x) - 1) + log(e^(-x) + 1) + log(e^(-x) - 1) - 1/2*log(-2*e^(-x) + e^(-2*x) - 1)","B",0
426,1,292,0,0.881434," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x, algorithm=""maxima"")","\frac{6 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} + e^{\left(-7 \, f x - 7 \, e\right)}\right)}} + \frac{25 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)}}{3 \, f {\left(e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} + e^{\left(-7 \, f x - 7 \, e\right)}\right)}} + \frac{6 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)}}{f {\left(e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} + e^{\left(-7 \, f x - 7 \, e\right)}\right)}} + \frac{\sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)}}{2 \, f {\left(e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} + e^{\left(-7 \, f x - 7 \, e\right)}\right)}} + \frac{\sqrt{a}}{2 \, f {\left(e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} + e^{\left(-7 \, f x - 7 \, e\right)}\right)}}"," ",0,"6*sqrt(a)*e^(-2*f*x - 2*e)/(f*(e^(-f*x - e) + 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) + e^(-7*f*x - 7*e))) + 25/3*sqrt(a)*e^(-4*f*x - 4*e)/(f*(e^(-f*x - e) + 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) + e^(-7*f*x - 7*e))) + 6*sqrt(a)*e^(-6*f*x - 6*e)/(f*(e^(-f*x - e) + 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) + e^(-7*f*x - 7*e))) + 1/2*sqrt(a)*e^(-8*f*x - 8*e)/(f*(e^(-f*x - e) + 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) + e^(-7*f*x - 7*e))) + 1/2*sqrt(a)/(f*(e^(-f*x - e) + 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) + e^(-7*f*x - 7*e)))","B",0
427,1,106,0,1.186961," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x, algorithm=""maxima"")","\frac{3 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(e^{\left(-f x - e\right)} + e^{\left(-3 \, f x - 3 \, e\right)}\right)}} + \frac{\sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)}}{2 \, f {\left(e^{\left(-f x - e\right)} + e^{\left(-3 \, f x - 3 \, e\right)}\right)}} + \frac{\sqrt{a}}{2 \, f {\left(e^{\left(-f x - e\right)} + e^{\left(-3 \, f x - 3 \, e\right)}\right)}}"," ",0,"3*sqrt(a)*e^(-2*f*x - 2*e)/(f*(e^(-f*x - e) + e^(-3*f*x - 3*e))) + 1/2*sqrt(a)*e^(-4*f*x - 4*e)/(f*(e^(-f*x - e) + e^(-3*f*x - 3*e))) + 1/2*sqrt(a)/(f*(e^(-f*x - e) + e^(-3*f*x - 3*e)))","B",0
428,1,32,0,1.759775," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x, algorithm=""maxima"")","\frac{\sqrt{a} e^{\left(f x + e\right)}}{2 \, f} + \frac{\sqrt{a} e^{\left(-f x - e\right)}}{2 \, f}"," ",0,"1/2*sqrt(a)*e^(f*x + e)/f + 1/2*sqrt(a)*e^(-f*x - e)/f","A",0
429,1,68,0,2.339639," ","integrate(coth(f*x+e)*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + \sqrt{a}\right)} e^{\left(f x + e\right)}}{2 \, f} - \frac{\sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right)}{f} + \frac{\sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right)}{f}"," ",0,"1/2*(sqrt(a)*e^(-2*f*x - 2*e) + sqrt(a))*e^(f*x + e)/f - sqrt(a)*log(e^(-f*x - e) + 1)/f + sqrt(a)*log(e^(-f*x - e) - 1)/f","A",0
430,1,126,0,1.606046," ","integrate(coth(f*x+e)^3*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right)}{2 \, f} + \frac{3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right)}{2 \, f} - \frac{3 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} - \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} - \sqrt{a}}{2 \, f {\left(e^{\left(-f x - e\right)} - 2 \, e^{\left(-3 \, f x - 3 \, e\right)} + e^{\left(-5 \, f x - 5 \, e\right)}\right)}}"," ",0,"-3/2*sqrt(a)*log(e^(-f*x - e) + 1)/f + 3/2*sqrt(a)*log(e^(-f*x - e) - 1)/f - 1/2*(3*sqrt(a)*e^(-2*f*x - 2*e) + 3*sqrt(a)*e^(-4*f*x - 4*e) - sqrt(a)*e^(-6*f*x - 6*e) - sqrt(a))/(f*(e^(-f*x - e) - 2*e^(-3*f*x - 3*e) + e^(-5*f*x - 5*e)))","A",0
431,1,891,0,0.955780," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^6,x, algorithm=""maxima"")","\frac{315 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right)}{128 \, f} + \frac{105 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) + \frac{279 \, \sqrt{a} e^{\left(-f x - e\right)} + 511 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 385 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} + 105 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1}}{128 \, f} + \frac{105 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{105 \, \sqrt{a} e^{\left(-f x - e\right)} + 385 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 511 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} + 279 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1}}{128 \, f} - \frac{5 \, {\left(15 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} + 55 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 73 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1}\right)}}{256 \, f} - \frac{5 \, {\left(15 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} - 73 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 55 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1}\right)}}{256 \, f} + \frac{5 \, {\left(3 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{3 \, \sqrt{a} e^{\left(-f x - e\right)} + 11 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 11 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 3 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1}\right)}}{64 \, f} + \frac{837 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 1533 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 1155 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 315 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + 128 \, \sqrt{a}}{256 \, f {\left(e^{\left(-f x - e\right)} + 4 \, e^{\left(-3 \, f x - 3 \, e\right)} + 6 \, e^{\left(-5 \, f x - 5 \, e\right)} + 4 \, e^{\left(-7 \, f x - 7 \, e\right)} + e^{\left(-9 \, f x - 9 \, e\right)}\right)}} - \frac{315 \, \sqrt{a} e^{\left(-f x - e\right)} + 1155 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 1533 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} + 837 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 128 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}}{256 \, f {\left(4 \, e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, e^{\left(-6 \, f x - 6 \, e\right)} + e^{\left(-8 \, f x - 8 \, e\right)} + 1\right)}}"," ",0,"315/128*sqrt(a)*arctan(e^(-f*x - e))/f + 1/128*(105*sqrt(a)*arctan(e^(-f*x - e)) + (279*sqrt(a)*e^(-f*x - e) + 511*sqrt(a)*e^(-3*f*x - 3*e) + 385*sqrt(a)*e^(-5*f*x - 5*e) + 105*sqrt(a)*e^(-7*f*x - 7*e))/(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))/f + 1/128*(105*sqrt(a)*arctan(e^(-f*x - e)) - (105*sqrt(a)*e^(-f*x - e) + 385*sqrt(a)*e^(-3*f*x - 3*e) + 511*sqrt(a)*e^(-5*f*x - 5*e) + 279*sqrt(a)*e^(-7*f*x - 7*e))/(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))/f - 5/256*(15*sqrt(a)*arctan(e^(-f*x - e)) - (15*sqrt(a)*e^(-f*x - e) + 55*sqrt(a)*e^(-3*f*x - 3*e) + 73*sqrt(a)*e^(-5*f*x - 5*e) - 15*sqrt(a)*e^(-7*f*x - 7*e))/(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))/f - 5/256*(15*sqrt(a)*arctan(e^(-f*x - e)) - (15*sqrt(a)*e^(-f*x - e) - 73*sqrt(a)*e^(-3*f*x - 3*e) - 55*sqrt(a)*e^(-5*f*x - 5*e) - 15*sqrt(a)*e^(-7*f*x - 7*e))/(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))/f + 5/64*(3*sqrt(a)*arctan(e^(-f*x - e)) - (3*sqrt(a)*e^(-f*x - e) + 11*sqrt(a)*e^(-3*f*x - 3*e) - 11*sqrt(a)*e^(-5*f*x - 5*e) - 3*sqrt(a)*e^(-7*f*x - 7*e))/(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))/f + 1/256*(837*sqrt(a)*e^(-2*f*x - 2*e) + 1533*sqrt(a)*e^(-4*f*x - 4*e) + 1155*sqrt(a)*e^(-6*f*x - 6*e) + 315*sqrt(a)*e^(-8*f*x - 8*e) + 128*sqrt(a))/(f*(e^(-f*x - e) + 4*e^(-3*f*x - 3*e) + 6*e^(-5*f*x - 5*e) + 4*e^(-7*f*x - 7*e) + e^(-9*f*x - 9*e))) - 1/256*(315*sqrt(a)*e^(-f*x - e) + 1155*sqrt(a)*e^(-3*f*x - 3*e) + 1533*sqrt(a)*e^(-5*f*x - 5*e) + 837*sqrt(a)*e^(-7*f*x - 7*e) + 128*sqrt(a)*e^(-9*f*x - 9*e))/(f*(4*e^(-2*f*x - 2*e) + 6*e^(-4*f*x - 4*e) + 4*e^(-6*f*x - 6*e) + e^(-8*f*x - 8*e) + 1))","B",0
432,1,387,0,1.217431," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x, algorithm=""maxima"")","\frac{15 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right)}{8 \, f} + \frac{3 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) + \frac{5 \, \sqrt{a} e^{\left(-f x - e\right)} + 3 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}}{2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1}}{4 \, f} + \frac{3 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{3 \, \sqrt{a} e^{\left(-f x - e\right)} + 5 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}}{2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1}}{4 \, f} - \frac{3 \, {\left(\sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right) - \frac{\sqrt{a} e^{\left(-f x - e\right)} - \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}}{2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1}\right)}}{8 \, f} + \frac{25 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 15 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 8 \, \sqrt{a}}{16 \, f {\left(e^{\left(-f x - e\right)} + 2 \, e^{\left(-3 \, f x - 3 \, e\right)} + e^{\left(-5 \, f x - 5 \, e\right)}\right)}} - \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} + 25 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 8 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{16 \, f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}"," ",0,"15/8*sqrt(a)*arctan(e^(-f*x - e))/f + 1/4*(3*sqrt(a)*arctan(e^(-f*x - e)) + (5*sqrt(a)*e^(-f*x - e) + 3*sqrt(a)*e^(-3*f*x - 3*e))/(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))/f + 1/4*(3*sqrt(a)*arctan(e^(-f*x - e)) - (3*sqrt(a)*e^(-f*x - e) + 5*sqrt(a)*e^(-3*f*x - 3*e))/(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))/f - 3/8*(sqrt(a)*arctan(e^(-f*x - e)) - (sqrt(a)*e^(-f*x - e) - sqrt(a)*e^(-3*f*x - 3*e))/(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))/f + 1/16*(25*sqrt(a)*e^(-2*f*x - 2*e) + 15*sqrt(a)*e^(-4*f*x - 4*e) + 8*sqrt(a))/(f*(e^(-f*x - e) + 2*e^(-3*f*x - 3*e) + e^(-5*f*x - 5*e))) - 1/16*(15*sqrt(a)*e^(-f*x - e) + 25*sqrt(a)*e^(-3*f*x - 3*e) + 8*sqrt(a)*e^(-5*f*x - 5*e))/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))","B",0
433,1,50,0,1.416181," ","integrate((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x, algorithm=""maxima"")","\frac{2 \, \sqrt{a} \arctan\left(e^{\left(-f x - e\right)}\right)}{f} + \frac{\sqrt{a} e^{\left(f x + e\right)}}{2 \, f} - \frac{\sqrt{a} e^{\left(-f x - e\right)}}{2 \, f}"," ",0,"2*sqrt(a)*arctan(e^(-f*x - e))/f + 1/2*sqrt(a)*e^(f*x + e)/f - 1/2*sqrt(a)*e^(-f*x - e)/f","A",0
434,1,125,0,1.478238," ","integrate(coth(f*x+e)^2*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a} e^{\left(-f x - e\right)}}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} - 1\right)}} - \frac{2 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} - \sqrt{a}}{2 \, f {\left(e^{\left(-f x - e\right)} - e^{\left(-3 \, f x - 3 \, e\right)}\right)}} + \frac{2 \, \sqrt{a} e^{\left(-f x - e\right)} - \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}}{2 \, f {\left(e^{\left(-2 \, f x - 2 \, e\right)} - 1\right)}}"," ",0,"sqrt(a)*e^(-f*x - e)/(f*(e^(-2*f*x - 2*e) - 1)) - 1/2*(2*sqrt(a)*e^(-2*f*x - 2*e) - sqrt(a))/(f*(e^(-f*x - e) - e^(-3*f*x - 3*e))) + 1/2*(2*sqrt(a)*e^(-f*x - e) - sqrt(a)*e^(-3*f*x - 3*e))/(f*(e^(-2*f*x - 2*e) - 1))","B",0
435,1,487,0,1.108600," ","integrate(coth(f*x+e)^4*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) - \frac{2 \, {\left(9 \, \sqrt{a} e^{\left(-f x - e\right)} - 8 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}\right)}}{3 \, e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, e^{\left(-4 \, f x - 4 \, e\right)} + e^{\left(-6 \, f x - 6 \, e\right)} - 1}}{12 \, f} + \frac{3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 3 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) + \frac{2 \, {\left(3 \, \sqrt{a} e^{\left(-f x - e\right)} - 8 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 9 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}\right)}}{3 \, e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, e^{\left(-4 \, f x - 4 \, e\right)} + e^{\left(-6 \, f x - 6 \, e\right)} - 1}}{12 \, f} + \frac{\sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}}{f {\left(3 \, e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, e^{\left(-4 \, f x - 4 \, e\right)} + e^{\left(-6 \, f x - 6 \, e\right)} - 1\right)}} - \frac{33 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} - 40 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 15 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} - 6 \, \sqrt{a}}{12 \, f {\left(e^{\left(-f x - e\right)} - 3 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, e^{\left(-5 \, f x - 5 \, e\right)} - e^{\left(-7 \, f x - 7 \, e\right)}\right)}} + \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} - 40 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 33 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 6 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)}}{12 \, f {\left(3 \, e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, e^{\left(-4 \, f x - 4 \, e\right)} + e^{\left(-6 \, f x - 6 \, e\right)} - 1\right)}}"," ",0,"-1/12*(3*sqrt(a)*log(e^(-f*x - e) + 1) - 3*sqrt(a)*log(e^(-f*x - e) - 1) - 2*(9*sqrt(a)*e^(-f*x - e) - 8*sqrt(a)*e^(-3*f*x - 3*e) + 3*sqrt(a)*e^(-5*f*x - 5*e))/(3*e^(-2*f*x - 2*e) - 3*e^(-4*f*x - 4*e) + e^(-6*f*x - 6*e) - 1))/f + 1/12*(3*sqrt(a)*log(e^(-f*x - e) + 1) - 3*sqrt(a)*log(e^(-f*x - e) - 1) + 2*(3*sqrt(a)*e^(-f*x - e) - 8*sqrt(a)*e^(-3*f*x - 3*e) + 9*sqrt(a)*e^(-5*f*x - 5*e))/(3*e^(-2*f*x - 2*e) - 3*e^(-4*f*x - 4*e) + e^(-6*f*x - 6*e) - 1))/f + sqrt(a)*e^(-3*f*x - 3*e)/(f*(3*e^(-2*f*x - 2*e) - 3*e^(-4*f*x - 4*e) + e^(-6*f*x - 6*e) - 1)) - 1/12*(33*sqrt(a)*e^(-2*f*x - 2*e) - 40*sqrt(a)*e^(-4*f*x - 4*e) + 15*sqrt(a)*e^(-6*f*x - 6*e) - 6*sqrt(a))/(f*(e^(-f*x - e) - 3*e^(-3*f*x - 3*e) + 3*e^(-5*f*x - 5*e) - e^(-7*f*x - 7*e))) + 1/12*(15*sqrt(a)*e^(-f*x - e) - 40*sqrt(a)*e^(-3*f*x - 3*e) + 33*sqrt(a)*e^(-5*f*x - 5*e) - 6*sqrt(a)*e^(-7*f*x - 7*e))/(f*(3*e^(-2*f*x - 2*e) - 3*e^(-4*f*x - 4*e) + e^(-6*f*x - 6*e) - 1))","B",0
436,1,1050,0,0.739136," ","integrate(coth(f*x+e)^6*(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{105 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 105 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) - \frac{2 \, {\left(375 \, \sqrt{a} e^{\left(-f x - e\right)} - 790 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 896 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 490 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 105 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1}}{320 \, f} + \frac{105 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 105 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) + \frac{2 \, {\left(105 \, \sqrt{a} e^{\left(-f x - e\right)} - 490 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 896 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 790 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 375 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1}}{320 \, f} + \frac{15 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 15 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) + \frac{2 \, {\left(15 \, \sqrt{a} e^{\left(-f x - e\right)} + 250 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 128 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} + 70 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} - 15 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1}}{256 \, f} - \frac{15 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} + 1\right) - 15 \, \sqrt{a} \log\left(e^{\left(-f x - e\right)} - 1\right) + \frac{2 \, {\left(15 \, \sqrt{a} e^{\left(-f x - e\right)} - 70 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 128 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 250 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} - 15 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1}}{256 \, f} + \frac{2 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{f {\left(5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1\right)}} - \frac{2895 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} - 7110 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 8064 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} - 4410 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + 945 \, \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} - 320 \, \sqrt{a}}{640 \, f {\left(e^{\left(-f x - e\right)} - 5 \, e^{\left(-3 \, f x - 3 \, e\right)} + 10 \, e^{\left(-5 \, f x - 5 \, e\right)} - 10 \, e^{\left(-7 \, f x - 7 \, e\right)} + 5 \, e^{\left(-9 \, f x - 9 \, e\right)} - e^{\left(-11 \, f x - 11 \, e\right)}\right)}} + \frac{945 \, \sqrt{a} e^{\left(-f x - e\right)} - 4410 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 8064 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 7110 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 2895 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)} - 320 \, \sqrt{a} e^{\left(-11 \, f x - 11 \, e\right)}}{640 \, f {\left(5 \, e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, e^{\left(-8 \, f x - 8 \, e\right)} + e^{\left(-10 \, f x - 10 \, e\right)} - 1\right)}}"," ",0,"-1/320*(105*sqrt(a)*log(e^(-f*x - e) + 1) - 105*sqrt(a)*log(e^(-f*x - e) - 1) - 2*(375*sqrt(a)*e^(-f*x - e) - 790*sqrt(a)*e^(-3*f*x - 3*e) + 896*sqrt(a)*e^(-5*f*x - 5*e) - 490*sqrt(a)*e^(-7*f*x - 7*e) + 105*sqrt(a)*e^(-9*f*x - 9*e))/(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1))/f + 1/320*(105*sqrt(a)*log(e^(-f*x - e) + 1) - 105*sqrt(a)*log(e^(-f*x - e) - 1) + 2*(105*sqrt(a)*e^(-f*x - e) - 490*sqrt(a)*e^(-3*f*x - 3*e) + 896*sqrt(a)*e^(-5*f*x - 5*e) - 790*sqrt(a)*e^(-7*f*x - 7*e) + 375*sqrt(a)*e^(-9*f*x - 9*e))/(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1))/f + 1/256*(15*sqrt(a)*log(e^(-f*x - e) + 1) - 15*sqrt(a)*log(e^(-f*x - e) - 1) + 2*(15*sqrt(a)*e^(-f*x - e) + 250*sqrt(a)*e^(-3*f*x - 3*e) - 128*sqrt(a)*e^(-5*f*x - 5*e) + 70*sqrt(a)*e^(-7*f*x - 7*e) - 15*sqrt(a)*e^(-9*f*x - 9*e))/(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1))/f - 1/256*(15*sqrt(a)*log(e^(-f*x - e) + 1) - 15*sqrt(a)*log(e^(-f*x - e) - 1) + 2*(15*sqrt(a)*e^(-f*x - e) - 70*sqrt(a)*e^(-3*f*x - 3*e) + 128*sqrt(a)*e^(-5*f*x - 5*e) - 250*sqrt(a)*e^(-7*f*x - 7*e) - 15*sqrt(a)*e^(-9*f*x - 9*e))/(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1))/f + 2*sqrt(a)*e^(-5*f*x - 5*e)/(f*(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1)) - 1/640*(2895*sqrt(a)*e^(-2*f*x - 2*e) - 7110*sqrt(a)*e^(-4*f*x - 4*e) + 8064*sqrt(a)*e^(-6*f*x - 6*e) - 4410*sqrt(a)*e^(-8*f*x - 8*e) + 945*sqrt(a)*e^(-10*f*x - 10*e) - 320*sqrt(a))/(f*(e^(-f*x - e) - 5*e^(-3*f*x - 3*e) + 10*e^(-5*f*x - 5*e) - 10*e^(-7*f*x - 7*e) + 5*e^(-9*f*x - 9*e) - e^(-11*f*x - 11*e))) + 1/640*(945*sqrt(a)*e^(-f*x - e) - 4410*sqrt(a)*e^(-3*f*x - 3*e) + 8064*sqrt(a)*e^(-5*f*x - 5*e) - 7110*sqrt(a)*e^(-7*f*x - 7*e) + 2895*sqrt(a)*e^(-9*f*x - 9*e) - 320*sqrt(a)*e^(-11*f*x - 11*e))/(f*(5*e^(-2*f*x - 2*e) - 10*e^(-4*f*x - 4*e) + 10*e^(-6*f*x - 6*e) - 5*e^(-8*f*x - 8*e) + e^(-10*f*x - 10*e) - 1))","B",0
437,1,446,0,1.970088," ","integrate(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, e^{\left(-f x - e\right)}}{{\left(5 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} + \sqrt{a}\right)} f} - \frac{8 \, e^{\left(-3 \, f x - 3 \, e\right)}}{3 \, {\left(5 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} + \sqrt{a}\right)} f} - \frac{116 \, e^{\left(-5 \, f x - 5 \, e\right)}}{15 \, {\left(5 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} + \sqrt{a}\right)} f} - \frac{8 \, e^{\left(-7 \, f x - 7 \, e\right)}}{3 \, {\left(5 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} + \sqrt{a}\right)} f} - \frac{2 \, e^{\left(-9 \, f x - 9 \, e\right)}}{{\left(5 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a} e^{\left(-10 \, f x - 10 \, e\right)} + \sqrt{a}\right)} f}"," ",0,"-2*e^(-f*x - e)/((5*sqrt(a)*e^(-2*f*x - 2*e) + 10*sqrt(a)*e^(-4*f*x - 4*e) + 10*sqrt(a)*e^(-6*f*x - 6*e) + 5*sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)*e^(-10*f*x - 10*e) + sqrt(a))*f) - 8/3*e^(-3*f*x - 3*e)/((5*sqrt(a)*e^(-2*f*x - 2*e) + 10*sqrt(a)*e^(-4*f*x - 4*e) + 10*sqrt(a)*e^(-6*f*x - 6*e) + 5*sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)*e^(-10*f*x - 10*e) + sqrt(a))*f) - 116/15*e^(-5*f*x - 5*e)/((5*sqrt(a)*e^(-2*f*x - 2*e) + 10*sqrt(a)*e^(-4*f*x - 4*e) + 10*sqrt(a)*e^(-6*f*x - 6*e) + 5*sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)*e^(-10*f*x - 10*e) + sqrt(a))*f) - 8/3*e^(-7*f*x - 7*e)/((5*sqrt(a)*e^(-2*f*x - 2*e) + 10*sqrt(a)*e^(-4*f*x - 4*e) + 10*sqrt(a)*e^(-6*f*x - 6*e) + 5*sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)*e^(-10*f*x - 10*e) + sqrt(a))*f) - 2*e^(-9*f*x - 9*e)/((5*sqrt(a)*e^(-2*f*x - 2*e) + 10*sqrt(a)*e^(-4*f*x - 4*e) + 10*sqrt(a)*e^(-6*f*x - 6*e) + 5*sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)*e^(-10*f*x - 10*e) + sqrt(a))*f)","B",0
438,1,184,0,1.889583," ","integrate(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, e^{\left(-f x - e\right)}}{{\left(3 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a}\right)} f} - \frac{4 \, e^{\left(-3 \, f x - 3 \, e\right)}}{3 \, {\left(3 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a}\right)} f} - \frac{2 \, e^{\left(-5 \, f x - 5 \, e\right)}}{{\left(3 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a}\right)} f}"," ",0,"-2*e^(-f*x - e)/((3*sqrt(a)*e^(-2*f*x - 2*e) + 3*sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a))*f) - 4/3*e^(-3*f*x - 3*e)/((3*sqrt(a)*e^(-2*f*x - 2*e) + 3*sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a))*f) - 2*e^(-5*f*x - 5*e)/((3*sqrt(a)*e^(-2*f*x - 2*e) + 3*sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a))*f)","B",0
439,1,33,0,2.601777," ","integrate(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, e^{\left(-f x - e\right)}}{{\left(\sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + \sqrt{a}\right)} f}"," ",0,"-2*e^(-f*x - e)/((sqrt(a)*e^(-2*f*x - 2*e) + sqrt(a))*f)","A",0
440,1,40,0,3.001378," ","integrate(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a} f} + \frac{\log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a} f}"," ",0,"-log(e^(-f*x - e) + 1)/(sqrt(a)*f) + log(e^(-f*x - e) - 1)/(sqrt(a)*f)","A",0
441,1,100,0,2.618996," ","integrate(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(e^{\left(-f x - e\right)} + 1\right)}{2 \, \sqrt{a} f} + \frac{\log\left(e^{\left(-f x - e\right)} - 1\right)}{2 \, \sqrt{a} f} + \frac{e^{\left(-f x - e\right)} + e^{\left(-3 \, f x - 3 \, e\right)}}{{\left(2 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} - \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} - \sqrt{a}\right)} f}"," ",0,"-1/2*log(e^(-f*x - e) + 1)/(sqrt(a)*f) + 1/2*log(e^(-f*x - e) - 1)/(sqrt(a)*f) + (e^(-f*x - e) + e^(-3*f*x - 3*e))/((2*sqrt(a)*e^(-2*f*x - 2*e) - sqrt(a)*e^(-4*f*x - 4*e) - sqrt(a))*f)","A",0
442,1,628,0,0.724675," ","integrate(tanh(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{15 \, e^{\left(-f x - e\right)} + 55 \, e^{\left(-3 \, f x - 3 \, e\right)} + 73 \, e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a}}}{48 \, f} + \frac{\frac{15 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{15 \, e^{\left(-f x - e\right)} - 73 \, e^{\left(-3 \, f x - 3 \, e\right)} - 55 \, e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a}}}{48 \, f} - \frac{3 \, {\left(\frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{3 \, e^{\left(-f x - e\right)} + 11 \, e^{\left(-3 \, f x - 3 \, e\right)} - 11 \, e^{\left(-5 \, f x - 5 \, e\right)} - 3 \, e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a}}\right)}}{32 \, f} - \frac{35 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{32 \, \sqrt{a} f} - \frac{279 \, e^{\left(-f x - e\right)} + 511 \, e^{\left(-3 \, f x - 3 \, e\right)} + 385 \, e^{\left(-5 \, f x - 5 \, e\right)} + 105 \, e^{\left(-7 \, f x - 7 \, e\right)}}{192 \, {\left(4 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a}\right)} f} + \frac{105 \, e^{\left(-f x - e\right)} + 385 \, e^{\left(-3 \, f x - 3 \, e\right)} + 511 \, e^{\left(-5 \, f x - 5 \, e\right)} + 279 \, e^{\left(-7 \, f x - 7 \, e\right)}}{192 \, {\left(4 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, \sqrt{a} e^{\left(-6 \, f x - 6 \, e\right)} + \sqrt{a} e^{\left(-8 \, f x - 8 \, e\right)} + \sqrt{a}\right)} f}"," ",0,"1/48*(15*arctan(e^(-f*x - e))/sqrt(a) - (15*e^(-f*x - e) + 55*e^(-3*f*x - 3*e) + 73*e^(-5*f*x - 5*e) - 15*e^(-7*f*x - 7*e))/(4*sqrt(a)*e^(-2*f*x - 2*e) + 6*sqrt(a)*e^(-4*f*x - 4*e) + 4*sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)))/f + 1/48*(15*arctan(e^(-f*x - e))/sqrt(a) - (15*e^(-f*x - e) - 73*e^(-3*f*x - 3*e) - 55*e^(-5*f*x - 5*e) - 15*e^(-7*f*x - 7*e))/(4*sqrt(a)*e^(-2*f*x - 2*e) + 6*sqrt(a)*e^(-4*f*x - 4*e) + 4*sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)))/f - 3/32*(3*arctan(e^(-f*x - e))/sqrt(a) - (3*e^(-f*x - e) + 11*e^(-3*f*x - 3*e) - 11*e^(-5*f*x - 5*e) - 3*e^(-7*f*x - 7*e))/(4*sqrt(a)*e^(-2*f*x - 2*e) + 6*sqrt(a)*e^(-4*f*x - 4*e) + 4*sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a)))/f - 35/32*arctan(e^(-f*x - e))/(sqrt(a)*f) - 1/192*(279*e^(-f*x - e) + 511*e^(-3*f*x - 3*e) + 385*e^(-5*f*x - 5*e) + 105*e^(-7*f*x - 7*e))/((4*sqrt(a)*e^(-2*f*x - 2*e) + 6*sqrt(a)*e^(-4*f*x - 4*e) + 4*sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a))*f) + 1/192*(105*e^(-f*x - e) + 385*e^(-3*f*x - 3*e) + 511*e^(-5*f*x - 5*e) + 279*e^(-7*f*x - 7*e))/((4*sqrt(a)*e^(-2*f*x - 2*e) + 6*sqrt(a)*e^(-4*f*x - 4*e) + 4*sqrt(a)*e^(-6*f*x - 6*e) + sqrt(a)*e^(-8*f*x - 8*e) + sqrt(a))*f)","B",0
443,1,217,0,0.494587," ","integrate(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{e^{\left(-f x - e\right)} - e^{\left(-3 \, f x - 3 \, e\right)}}{2 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a}}}{2 \, f} - \frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{2 \, \sqrt{a} f} - \frac{5 \, e^{\left(-f x - e\right)} + 3 \, e^{\left(-3 \, f x - 3 \, e\right)}}{4 \, {\left(2 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a}\right)} f} + \frac{3 \, e^{\left(-f x - e\right)} + 5 \, e^{\left(-3 \, f x - 3 \, e\right)}}{4 \, {\left(2 \, \sqrt{a} e^{\left(-2 \, f x - 2 \, e\right)} + \sqrt{a} e^{\left(-4 \, f x - 4 \, e\right)} + \sqrt{a}\right)} f}"," ",0,"1/2*(arctan(e^(-f*x - e))/sqrt(a) - (e^(-f*x - e) - e^(-3*f*x - 3*e))/(2*sqrt(a)*e^(-2*f*x - 2*e) + sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a)))/f - 3/2*arctan(e^(-f*x - e))/(sqrt(a)*f) - 1/4*(5*e^(-f*x - e) + 3*e^(-3*f*x - 3*e))/((2*sqrt(a)*e^(-2*f*x - 2*e) + sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a))*f) + 1/4*(3*e^(-f*x - e) + 5*e^(-3*f*x - 3*e))/((2*sqrt(a)*e^(-2*f*x - 2*e) + sqrt(a)*e^(-4*f*x - 4*e) + sqrt(a))*f)","B",0
444,1,101,0,0.527365," ","integrate(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{\sqrt{a} e^{\left(-f x - e\right)}}{a e^{\left(-2 \, f x - 2 \, e\right)} - a}}{f} - \frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a} f} + \frac{\sqrt{a} e^{\left(-f x - e\right)}}{{\left(a e^{\left(-2 \, f x - 2 \, e\right)} - a\right)} f}"," ",0,"(arctan(e^(-f*x - e))/sqrt(a) + sqrt(a)*e^(-f*x - e)/(a*e^(-2*f*x - 2*e) - a))/f - arctan(e^(-f*x - e))/(sqrt(a)*f) + sqrt(a)*e^(-f*x - e)/((a*e^(-2*f*x - 2*e) - a)*f)","B",0
445,1,556,0,0.731480," ","integrate(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{6 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{3 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} - \frac{3 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} + \frac{4 \, {\left(3 \, \sqrt{a} e^{\left(-f x - e\right)} - \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)}\right)}}{3 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a e^{\left(-4 \, f x - 4 \, e\right)} + a e^{\left(-6 \, f x - 6 \, e\right)} - a}}{12 \, f} + \frac{\frac{6 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{3 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} + \frac{3 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} - \frac{4 \, {\left(\sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 3 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}\right)}}{3 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a e^{\left(-4 \, f x - 4 \, e\right)} + a e^{\left(-6 \, f x - 6 \, e\right)} - a}}{12 \, f} - \frac{\frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{3 \, \sqrt{a} e^{\left(-f x - e\right)} - 10 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{3 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a e^{\left(-4 \, f x - 4 \, e\right)} + a e^{\left(-6 \, f x - 6 \, e\right)} - a}}{4 \, f} - \frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{4 \, \sqrt{a} f} + \frac{27 \, \sqrt{a} e^{\left(-f x - e\right)} - 38 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 15 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{24 \, {\left(3 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a e^{\left(-4 \, f x - 4 \, e\right)} + a e^{\left(-6 \, f x - 6 \, e\right)} - a\right)} f} + \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} - 38 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 27 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{24 \, {\left(3 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a e^{\left(-4 \, f x - 4 \, e\right)} + a e^{\left(-6 \, f x - 6 \, e\right)} - a\right)} f}"," ",0,"1/12*(6*arctan(e^(-f*x - e))/sqrt(a) + 3*log(e^(-f*x - e) + 1)/sqrt(a) - 3*log(e^(-f*x - e) - 1)/sqrt(a) + 4*(3*sqrt(a)*e^(-f*x - e) - sqrt(a)*e^(-3*f*x - 3*e))/(3*a*e^(-2*f*x - 2*e) - 3*a*e^(-4*f*x - 4*e) + a*e^(-6*f*x - 6*e) - a))/f + 1/12*(6*arctan(e^(-f*x - e))/sqrt(a) - 3*log(e^(-f*x - e) + 1)/sqrt(a) + 3*log(e^(-f*x - e) - 1)/sqrt(a) - 4*(sqrt(a)*e^(-3*f*x - 3*e) - 3*sqrt(a)*e^(-5*f*x - 5*e))/(3*a*e^(-2*f*x - 2*e) - 3*a*e^(-4*f*x - 4*e) + a*e^(-6*f*x - 6*e) - a))/f - 1/4*(3*arctan(e^(-f*x - e))/sqrt(a) + (3*sqrt(a)*e^(-f*x - e) - 10*sqrt(a)*e^(-3*f*x - 3*e) + 3*sqrt(a)*e^(-5*f*x - 5*e))/(3*a*e^(-2*f*x - 2*e) - 3*a*e^(-4*f*x - 4*e) + a*e^(-6*f*x - 6*e) - a))/f - 1/4*arctan(e^(-f*x - e))/(sqrt(a)*f) + 1/24*(27*sqrt(a)*e^(-f*x - e) - 38*sqrt(a)*e^(-3*f*x - 3*e) + 15*sqrt(a)*e^(-5*f*x - 5*e))/((3*a*e^(-2*f*x - 2*e) - 3*a*e^(-4*f*x - 4*e) + a*e^(-6*f*x - 6*e) - a)*f) + 1/24*(15*sqrt(a)*e^(-f*x - e) - 38*sqrt(a)*e^(-3*f*x - 3*e) + 27*sqrt(a)*e^(-5*f*x - 5*e))/((3*a*e^(-2*f*x - 2*e) - 3*a*e^(-4*f*x - 4*e) + a*e^(-6*f*x - 6*e) - a)*f)","B",0
446,1,1231,0,0.650859," ","integrate(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{120 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{45 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} - \frac{45 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} + \frac{2 \, {\left(105 \, \sqrt{a} e^{\left(-f x - e\right)} - 530 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 328 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 110 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 15 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a}}{256 \, f} - \frac{\frac{120 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{45 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} + \frac{45 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} + \frac{2 \, {\left(15 \, \sqrt{a} e^{\left(-f x - e\right)} - 110 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 328 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 530 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 105 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a}}{256 \, f} + \frac{\frac{60 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{75 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} - \frac{75 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} + \frac{2 \, {\left(105 \, \sqrt{a} e^{\left(-f x - e\right)} + 130 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 284 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} + 190 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} - 45 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a}}{320 \, f} + \frac{\frac{60 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} - \frac{75 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{\sqrt{a}} + \frac{75 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{\sqrt{a}} - \frac{2 \, {\left(45 \, \sqrt{a} e^{\left(-f x - e\right)} - 190 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 284 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 130 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} - 105 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}\right)}}{5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a}}{320 \, f} + \frac{\frac{15 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{\sqrt{a}} + \frac{15 \, \sqrt{a} e^{\left(-f x - e\right)} - 80 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 178 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 80 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 15 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}}{5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a}}{24 \, f} - \frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{16 \, \sqrt{a} f} + \frac{2685 \, \sqrt{a} e^{\left(-f x - e\right)} - 7370 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 8632 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 4790 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 1035 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}}{1920 \, {\left(5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a\right)} f} + \frac{1035 \, \sqrt{a} e^{\left(-f x - e\right)} - 4790 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 8632 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)} - 7370 \, \sqrt{a} e^{\left(-7 \, f x - 7 \, e\right)} + 2685 \, \sqrt{a} e^{\left(-9 \, f x - 9 \, e\right)}}{1920 \, {\left(5 \, a e^{\left(-2 \, f x - 2 \, e\right)} - 10 \, a e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a e^{\left(-6 \, f x - 6 \, e\right)} - 5 \, a e^{\left(-8 \, f x - 8 \, e\right)} + a e^{\left(-10 \, f x - 10 \, e\right)} - a\right)} f}"," ",0,"-1/256*(120*arctan(e^(-f*x - e))/sqrt(a) + 45*log(e^(-f*x - e) + 1)/sqrt(a) - 45*log(e^(-f*x - e) - 1)/sqrt(a) + 2*(105*sqrt(a)*e^(-f*x - e) - 530*sqrt(a)*e^(-3*f*x - 3*e) + 328*sqrt(a)*e^(-5*f*x - 5*e) - 110*sqrt(a)*e^(-7*f*x - 7*e) + 15*sqrt(a)*e^(-9*f*x - 9*e))/(5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a))/f - 1/256*(120*arctan(e^(-f*x - e))/sqrt(a) - 45*log(e^(-f*x - e) + 1)/sqrt(a) + 45*log(e^(-f*x - e) - 1)/sqrt(a) + 2*(15*sqrt(a)*e^(-f*x - e) - 110*sqrt(a)*e^(-3*f*x - 3*e) + 328*sqrt(a)*e^(-5*f*x - 5*e) - 530*sqrt(a)*e^(-7*f*x - 7*e) + 105*sqrt(a)*e^(-9*f*x - 9*e))/(5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a))/f + 1/320*(60*arctan(e^(-f*x - e))/sqrt(a) + 75*log(e^(-f*x - e) + 1)/sqrt(a) - 75*log(e^(-f*x - e) - 1)/sqrt(a) + 2*(105*sqrt(a)*e^(-f*x - e) + 130*sqrt(a)*e^(-3*f*x - 3*e) - 284*sqrt(a)*e^(-5*f*x - 5*e) + 190*sqrt(a)*e^(-7*f*x - 7*e) - 45*sqrt(a)*e^(-9*f*x - 9*e))/(5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a))/f + 1/320*(60*arctan(e^(-f*x - e))/sqrt(a) - 75*log(e^(-f*x - e) + 1)/sqrt(a) + 75*log(e^(-f*x - e) - 1)/sqrt(a) - 2*(45*sqrt(a)*e^(-f*x - e) - 190*sqrt(a)*e^(-3*f*x - 3*e) + 284*sqrt(a)*e^(-5*f*x - 5*e) - 130*sqrt(a)*e^(-7*f*x - 7*e) - 105*sqrt(a)*e^(-9*f*x - 9*e))/(5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a))/f + 1/24*(15*arctan(e^(-f*x - e))/sqrt(a) + (15*sqrt(a)*e^(-f*x - e) - 80*sqrt(a)*e^(-3*f*x - 3*e) + 178*sqrt(a)*e^(-5*f*x - 5*e) - 80*sqrt(a)*e^(-7*f*x - 7*e) + 15*sqrt(a)*e^(-9*f*x - 9*e))/(5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a))/f - 1/16*arctan(e^(-f*x - e))/(sqrt(a)*f) + 1/1920*(2685*sqrt(a)*e^(-f*x - e) - 7370*sqrt(a)*e^(-3*f*x - 3*e) + 8632*sqrt(a)*e^(-5*f*x - 5*e) - 4790*sqrt(a)*e^(-7*f*x - 7*e) + 1035*sqrt(a)*e^(-9*f*x - 9*e))/((5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a)*f) + 1/1920*(1035*sqrt(a)*e^(-f*x - e) - 4790*sqrt(a)*e^(-3*f*x - 3*e) + 8632*sqrt(a)*e^(-5*f*x - 5*e) - 7370*sqrt(a)*e^(-7*f*x - 7*e) + 2685*sqrt(a)*e^(-9*f*x - 9*e))/((5*a*e^(-2*f*x - 2*e) - 10*a*e^(-4*f*x - 4*e) + 10*a*e^(-6*f*x - 6*e) - 5*a*e^(-8*f*x - 8*e) + a*e^(-10*f*x - 10*e) - a)*f)","B",0
447,1,586,0,0.700163," ","integrate(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(-3 \, f x - 3 \, e\right)}}{3 \, {\left(7 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 7 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} + a^{\frac{3}{2}}\right)} f} + \frac{32 \, e^{\left(-5 \, f x - 5 \, e\right)}}{15 \, {\left(7 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 7 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} + a^{\frac{3}{2}}\right)} f} - \frac{304 \, e^{\left(-7 \, f x - 7 \, e\right)}}{35 \, {\left(7 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 7 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} + a^{\frac{3}{2}}\right)} f} + \frac{32 \, e^{\left(-9 \, f x - 9 \, e\right)}}{15 \, {\left(7 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 7 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} + a^{\frac{3}{2}}\right)} f} - \frac{8 \, e^{\left(-11 \, f x - 11 \, e\right)}}{3 \, {\left(7 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 35 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + 21 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 7 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} + a^{\frac{3}{2}}\right)} f}"," ",0,"-8/3*e^(-3*f*x - 3*e)/((7*a^(3/2)*e^(-2*f*x - 2*e) + 21*a^(3/2)*e^(-4*f*x - 4*e) + 35*a^(3/2)*e^(-6*f*x - 6*e) + 35*a^(3/2)*e^(-8*f*x - 8*e) + 21*a^(3/2)*e^(-10*f*x - 10*e) + 7*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) + a^(3/2))*f) + 32/15*e^(-5*f*x - 5*e)/((7*a^(3/2)*e^(-2*f*x - 2*e) + 21*a^(3/2)*e^(-4*f*x - 4*e) + 35*a^(3/2)*e^(-6*f*x - 6*e) + 35*a^(3/2)*e^(-8*f*x - 8*e) + 21*a^(3/2)*e^(-10*f*x - 10*e) + 7*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) + a^(3/2))*f) - 304/35*e^(-7*f*x - 7*e)/((7*a^(3/2)*e^(-2*f*x - 2*e) + 21*a^(3/2)*e^(-4*f*x - 4*e) + 35*a^(3/2)*e^(-6*f*x - 6*e) + 35*a^(3/2)*e^(-8*f*x - 8*e) + 21*a^(3/2)*e^(-10*f*x - 10*e) + 7*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) + a^(3/2))*f) + 32/15*e^(-9*f*x - 9*e)/((7*a^(3/2)*e^(-2*f*x - 2*e) + 21*a^(3/2)*e^(-4*f*x - 4*e) + 35*a^(3/2)*e^(-6*f*x - 6*e) + 35*a^(3/2)*e^(-8*f*x - 8*e) + 21*a^(3/2)*e^(-10*f*x - 10*e) + 7*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) + a^(3/2))*f) - 8/3*e^(-11*f*x - 11*e)/((7*a^(3/2)*e^(-2*f*x - 2*e) + 21*a^(3/2)*e^(-4*f*x - 4*e) + 35*a^(3/2)*e^(-6*f*x - 6*e) + 35*a^(3/2)*e^(-8*f*x - 8*e) + 21*a^(3/2)*e^(-10*f*x - 10*e) + 7*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) + a^(3/2))*f)","B",0
448,1,268,0,0.714664," ","integrate(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(-3 \, f x - 3 \, e\right)}}{3 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + a^{\frac{3}{2}}\right)} f} + \frac{16 \, e^{\left(-5 \, f x - 5 \, e\right)}}{15 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + a^{\frac{3}{2}}\right)} f} - \frac{8 \, e^{\left(-7 \, f x - 7 \, e\right)}}{3 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + a^{\frac{3}{2}}\right)} f}"," ",0,"-8/3*e^(-3*f*x - 3*e)/((5*a^(3/2)*e^(-2*f*x - 2*e) + 10*a^(3/2)*e^(-4*f*x - 4*e) + 10*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) + a^(3/2))*f) + 16/15*e^(-5*f*x - 5*e)/((5*a^(3/2)*e^(-2*f*x - 2*e) + 10*a^(3/2)*e^(-4*f*x - 4*e) + 10*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) + a^(3/2))*f) - 8/3*e^(-7*f*x - 7*e)/((5*a^(3/2)*e^(-2*f*x - 2*e) + 10*a^(3/2)*e^(-4*f*x - 4*e) + 10*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) + a^(3/2))*f)","B",0
449,1,61,0,0.603138," ","integrate(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(-3 \, f x - 3 \, e\right)}}{3 \, {\left(3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 3 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + a^{\frac{3}{2}}\right)} f}"," ",0,"-8/3*e^(-3*f*x - 3*e)/((3*a^(3/2)*e^(-2*f*x - 2*e) + 3*a^(3/2)*e^(-4*f*x - 4*e) + a^(3/2)*e^(-6*f*x - 6*e) + a^(3/2))*f)","B",0
450,1,76,0,1.024542," ","integrate(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a} e^{\left(-f x - e\right)}}{{\left(a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2}\right)} f} - \frac{\log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}} f} + \frac{\log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}} f}"," ",0,"2*sqrt(a)*e^(-f*x - e)/((a^2*e^(-2*f*x - 2*e) + a^2)*f) - log(e^(-f*x - e) + 1)/(a^(3/2)*f) + log(e^(-f*x - e) - 1)/(a^(3/2)*f)","A",0
451,1,100,0,0.861399," ","integrate(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{\left(-f x - e\right)} + e^{\left(-3 \, f x - 3 \, e\right)}}{{\left(2 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{\log\left(e^{\left(-f x - e\right)} + 1\right)}{2 \, a^{\frac{3}{2}} f} - \frac{\log\left(e^{\left(-f x - e\right)} - 1\right)}{2 \, a^{\frac{3}{2}} f}"," ",0,"(e^(-f*x - e) + e^(-3*f*x - 3*e))/((2*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - a^(3/2))*f) + 1/2*log(e^(-f*x - e) + 1)/(a^(3/2)*f) - 1/2*log(e^(-f*x - e) - 1)/(a^(3/2)*f)","A",0
452,1,369,0,0.565106," ","integrate(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, e^{\left(-f x - e\right)} + 11 \, e^{\left(-3 \, f x - 3 \, e\right)} - 11 \, e^{\left(-5 \, f x - 5 \, e\right)} - 3 \, e^{\left(-7 \, f x - 7 \, e\right)}}{4 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}}} - \frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}}}{8 \, f} + \frac{15 \, e^{\left(-f x - e\right)} + 55 \, e^{\left(-3 \, f x - 3 \, e\right)} + 73 \, e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, e^{\left(-7 \, f x - 7 \, e\right)}}{48 \, {\left(4 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}}\right)} f} + \frac{15 \, e^{\left(-f x - e\right)} - 73 \, e^{\left(-3 \, f x - 3 \, e\right)} - 55 \, e^{\left(-5 \, f x - 5 \, e\right)} - 15 \, e^{\left(-7 \, f x - 7 \, e\right)}}{48 \, {\left(4 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 6 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 4 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}}\right)} f} - \frac{5 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{8 \, a^{\frac{3}{2}} f}"," ",0,"-1/8*((3*e^(-f*x - e) + 11*e^(-3*f*x - 3*e) - 11*e^(-5*f*x - 5*e) - 3*e^(-7*f*x - 7*e))/(4*a^(3/2)*e^(-2*f*x - 2*e) + 6*a^(3/2)*e^(-4*f*x - 4*e) + 4*a^(3/2)*e^(-6*f*x - 6*e) + a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)) - 3*arctan(e^(-f*x - e))/a^(3/2))/f + 1/48*(15*e^(-f*x - e) + 55*e^(-3*f*x - 3*e) + 73*e^(-5*f*x - 5*e) - 15*e^(-7*f*x - 7*e))/((4*a^(3/2)*e^(-2*f*x - 2*e) + 6*a^(3/2)*e^(-4*f*x - 4*e) + 4*a^(3/2)*e^(-6*f*x - 6*e) + a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2))*f) + 1/48*(15*e^(-f*x - e) - 73*e^(-3*f*x - 3*e) - 55*e^(-5*f*x - 5*e) - 15*e^(-7*f*x - 7*e))/((4*a^(3/2)*e^(-2*f*x - 2*e) + 6*a^(3/2)*e^(-4*f*x - 4*e) + 4*a^(3/2)*e^(-6*f*x - 6*e) + a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2))*f) - 5/8*arctan(e^(-f*x - e))/(a^(3/2)*f)","B",0
453,1,321,0,0.518027," ","integrate(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{a} e^{\left(-f x - e\right)} + 2 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} + 3 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - a^{2} e^{\left(-4 \, f x - 4 \, e\right)} - a^{2} e^{\left(-6 \, f x - 6 \, e\right)} + a^{2}} - \frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}}}{2 \, f} - \frac{5 \, \sqrt{a} e^{\left(-f x - e\right)} + 6 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 3 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{4 \, {\left(a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - a^{2} e^{\left(-4 \, f x - 4 \, e\right)} - a^{2} e^{\left(-6 \, f x - 6 \, e\right)} + a^{2}\right)} f} + \frac{3 \, \sqrt{a} e^{\left(-f x - e\right)} - 6 \, \sqrt{a} e^{\left(-3 \, f x - 3 \, e\right)} - 5 \, \sqrt{a} e^{\left(-5 \, f x - 5 \, e\right)}}{4 \, {\left(a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - a^{2} e^{\left(-4 \, f x - 4 \, e\right)} - a^{2} e^{\left(-6 \, f x - 6 \, e\right)} + a^{2}\right)} f} + \frac{\arctan\left(e^{\left(-f x - e\right)}\right)}{2 \, a^{\frac{3}{2}} f}"," ",0,"-1/2*((3*sqrt(a)*e^(-f*x - e) + 2*sqrt(a)*e^(-3*f*x - 3*e) + 3*sqrt(a)*e^(-5*f*x - 5*e))/(a^2*e^(-2*f*x - 2*e) - a^2*e^(-4*f*x - 4*e) - a^2*e^(-6*f*x - 6*e) + a^2) - 3*arctan(e^(-f*x - e))/a^(3/2))/f - 1/4*(5*sqrt(a)*e^(-f*x - e) + 6*sqrt(a)*e^(-3*f*x - 3*e) - 3*sqrt(a)*e^(-5*f*x - 5*e))/((a^2*e^(-2*f*x - 2*e) - a^2*e^(-4*f*x - 4*e) - a^2*e^(-6*f*x - 6*e) + a^2)*f) + 1/4*(3*sqrt(a)*e^(-f*x - e) - 6*sqrt(a)*e^(-3*f*x - 3*e) - 5*sqrt(a)*e^(-5*f*x - 5*e))/((a^2*e^(-2*f*x - 2*e) - a^2*e^(-4*f*x - 4*e) - a^2*e^(-6*f*x - 6*e) + a^2)*f) + 1/2*arctan(e^(-f*x - e))/(a^(3/2)*f)","B",0
454,1,823,0,0.796928," ","integrate(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{21 \, e^{\left(-f x - e\right)} - 16 \, e^{\left(-3 \, f x - 3 \, e\right)} + 34 \, e^{\left(-5 \, f x - 5 \, e\right)} + 8 \, e^{\left(-7 \, f x - 7 \, e\right)} - 15 \, e^{\left(-9 \, f x - 9 \, e\right)}}{a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} - a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - a^{\frac{3}{2}}} + \frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{9 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{9 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{12 \, f} - \frac{\frac{15 \, e^{\left(-f x - e\right)} - 8 \, e^{\left(-3 \, f x - 3 \, e\right)} - 34 \, e^{\left(-5 \, f x - 5 \, e\right)} + 16 \, e^{\left(-7 \, f x - 7 \, e\right)} - 21 \, e^{\left(-9 \, f x - 9 \, e\right)}}{a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} - a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - a^{\frac{3}{2}}} - \frac{3 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{9 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{9 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{12 \, f} - \frac{\frac{15 \, e^{\left(-f x - e\right)} - 20 \, e^{\left(-3 \, f x - 3 \, e\right)} - 22 \, e^{\left(-5 \, f x - 5 \, e\right)} - 20 \, e^{\left(-7 \, f x - 7 \, e\right)} + 15 \, e^{\left(-9 \, f x - 9 \, e\right)}}{a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} - a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - a^{\frac{3}{2}}} + \frac{15 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}}}{8 \, f} + \frac{45 \, e^{\left(-f x - e\right)} - 52 \, e^{\left(-3 \, f x - 3 \, e\right)} - 74 \, e^{\left(-5 \, f x - 5 \, e\right)} + 92 \, e^{\left(-7 \, f x - 7 \, e\right)} + 21 \, e^{\left(-9 \, f x - 9 \, e\right)}}{48 \, {\left(a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} - a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{21 \, e^{\left(-f x - e\right)} + 92 \, e^{\left(-3 \, f x - 3 \, e\right)} - 74 \, e^{\left(-5 \, f x - 5 \, e\right)} - 52 \, e^{\left(-7 \, f x - 7 \, e\right)} + 45 \, e^{\left(-9 \, f x - 9 \, e\right)}}{48 \, {\left(a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} - a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{11 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{8 \, a^{\frac{3}{2}} f}"," ",0,"1/12*((21*e^(-f*x - e) - 16*e^(-3*f*x - 3*e) + 34*e^(-5*f*x - 5*e) + 8*e^(-7*f*x - 7*e) - 15*e^(-9*f*x - 9*e))/(a^(3/2)*e^(-2*f*x - 2*e) + 2*a^(3/2)*e^(-4*f*x - 4*e) - 2*a^(3/2)*e^(-6*f*x - 6*e) - a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - a^(3/2)) + 3*arctan(e^(-f*x - e))/a^(3/2) + 9*log(e^(-f*x - e) + 1)/a^(3/2) - 9*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/12*((15*e^(-f*x - e) - 8*e^(-3*f*x - 3*e) - 34*e^(-5*f*x - 5*e) + 16*e^(-7*f*x - 7*e) - 21*e^(-9*f*x - 9*e))/(a^(3/2)*e^(-2*f*x - 2*e) + 2*a^(3/2)*e^(-4*f*x - 4*e) - 2*a^(3/2)*e^(-6*f*x - 6*e) - a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - a^(3/2)) - 3*arctan(e^(-f*x - e))/a^(3/2) + 9*log(e^(-f*x - e) + 1)/a^(3/2) - 9*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/8*((15*e^(-f*x - e) - 20*e^(-3*f*x - 3*e) - 22*e^(-5*f*x - 5*e) - 20*e^(-7*f*x - 7*e) + 15*e^(-9*f*x - 9*e))/(a^(3/2)*e^(-2*f*x - 2*e) + 2*a^(3/2)*e^(-4*f*x - 4*e) - 2*a^(3/2)*e^(-6*f*x - 6*e) - a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - a^(3/2)) + 15*arctan(e^(-f*x - e))/a^(3/2))/f + 1/48*(45*e^(-f*x - e) - 52*e^(-3*f*x - 3*e) - 74*e^(-5*f*x - 5*e) + 92*e^(-7*f*x - 7*e) + 21*e^(-9*f*x - 9*e))/((a^(3/2)*e^(-2*f*x - 2*e) + 2*a^(3/2)*e^(-4*f*x - 4*e) - 2*a^(3/2)*e^(-6*f*x - 6*e) - a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - a^(3/2))*f) + 1/48*(21*e^(-f*x - e) + 92*e^(-3*f*x - 3*e) - 74*e^(-5*f*x - 5*e) - 52*e^(-7*f*x - 7*e) + 45*e^(-9*f*x - 9*e))/((a^(3/2)*e^(-2*f*x - 2*e) + 2*a^(3/2)*e^(-4*f*x - 4*e) - 2*a^(3/2)*e^(-6*f*x - 6*e) - a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - a^(3/2))*f) + 11/8*arctan(e^(-f*x - e))/(a^(3/2)*f)","B",0
455,1,1531,0,0.622347," ","integrate(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{2 \, {\left(105 \, e^{\left(-f x - e\right)} - 300 \, e^{\left(-3 \, f x - 3 \, e\right)} + 81 \, e^{\left(-5 \, f x - 5 \, e\right)} - 248 \, e^{\left(-7 \, f x - 7 \, e\right)} + 51 \, e^{\left(-9 \, f x - 9 \, e\right)} + 100 \, e^{\left(-11 \, f x - 11 \, e\right)} - 45 \, e^{\left(-13 \, f x - 13 \, e\right)}\right)}}{3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}} + \frac{60 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{75 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{75 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}\right)}}{256 \, f} + \frac{\frac{105 \, e^{\left(-f x - e\right)} - 350 \, e^{\left(-3 \, f x - 3 \, e\right)} + 231 \, e^{\left(-5 \, f x - 5 \, e\right)} + 412 \, e^{\left(-7 \, f x - 7 \, e\right)} + 231 \, e^{\left(-9 \, f x - 9 \, e\right)} - 350 \, e^{\left(-11 \, f x - 11 \, e\right)} + 105 \, e^{\left(-13 \, f x - 13 \, e\right)}}{3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}} + \frac{105 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}}}{48 \, f} + \frac{3 \, {\left(\frac{2 \, {\left(45 \, e^{\left(-f x - e\right)} - 100 \, e^{\left(-3 \, f x - 3 \, e\right)} - 51 \, e^{\left(-5 \, f x - 5 \, e\right)} + 248 \, e^{\left(-7 \, f x - 7 \, e\right)} - 81 \, e^{\left(-9 \, f x - 9 \, e\right)} + 300 \, e^{\left(-11 \, f x - 11 \, e\right)} - 105 \, e^{\left(-13 \, f x - 13 \, e\right)}\right)}}{3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}} - \frac{60 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{75 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{75 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}\right)}}{256 \, f} - \frac{3 \, {\left(\frac{4 \, {\left(45 \, e^{\left(-f x - e\right)} - 135 \, e^{\left(-3 \, f x - 3 \, e\right)} + 54 \, e^{\left(-5 \, f x - 5 \, e\right)} + 198 \, e^{\left(-7 \, f x - 7 \, e\right)} - 211 \, e^{\left(-9 \, f x - 9 \, e\right)} - 15 \, e^{\left(-11 \, f x - 11 \, e\right)}\right)}}{3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}} + \frac{90 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{45 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{45 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}\right)}}{320 \, f} + \frac{3 \, {\left(\frac{4 \, {\left(15 \, e^{\left(-3 \, f x - 3 \, e\right)} + 211 \, e^{\left(-5 \, f x - 5 \, e\right)} - 198 \, e^{\left(-7 \, f x - 7 \, e\right)} - 54 \, e^{\left(-9 \, f x - 9 \, e\right)} + 135 \, e^{\left(-11 \, f x - 11 \, e\right)} - 45 \, e^{\left(-13 \, f x - 13 \, e\right)}\right)}}{3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}} - \frac{90 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{45 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{45 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}\right)}}{320 \, f} + \frac{1155 \, e^{\left(-f x - e\right)} + 1460 \, e^{\left(-3 \, f x - 3 \, e\right)} - 4173 \, e^{\left(-5 \, f x - 5 \, e\right)} + 2024 \, e^{\left(-7 \, f x - 7 \, e\right)} + 1857 \, e^{\left(-9 \, f x - 9 \, e\right)} - 2140 \, e^{\left(-11 \, f x - 11 \, e\right)} + 585 \, e^{\left(-13 \, f x - 13 \, e\right)}}{1920 \, {\left(3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{585 \, e^{\left(-f x - e\right)} - 2140 \, e^{\left(-3 \, f x - 3 \, e\right)} + 1857 \, e^{\left(-5 \, f x - 5 \, e\right)} + 2024 \, e^{\left(-7 \, f x - 7 \, e\right)} - 4173 \, e^{\left(-9 \, f x - 9 \, e\right)} + 1460 \, e^{\left(-11 \, f x - 11 \, e\right)} + 1155 \, e^{\left(-13 \, f x - 13 \, e\right)}}{1920 \, {\left(3 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-6 \, f x - 6 \, e\right)} + 5 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} + a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} - 3 \, a^{\frac{3}{2}} e^{\left(-12 \, f x - 12 \, e\right)} + a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{29 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{32 \, a^{\frac{3}{2}} f}"," ",0,"-3/256*(2*(105*e^(-f*x - e) - 300*e^(-3*f*x - 3*e) + 81*e^(-5*f*x - 5*e) - 248*e^(-7*f*x - 7*e) + 51*e^(-9*f*x - 9*e) + 100*e^(-11*f*x - 11*e) - 45*e^(-13*f*x - 13*e))/(3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2)) + 60*arctan(e^(-f*x - e))/a^(3/2) + 75*log(e^(-f*x - e) + 1)/a^(3/2) - 75*log(e^(-f*x - e) - 1)/a^(3/2))/f + 1/48*((105*e^(-f*x - e) - 350*e^(-3*f*x - 3*e) + 231*e^(-5*f*x - 5*e) + 412*e^(-7*f*x - 7*e) + 231*e^(-9*f*x - 9*e) - 350*e^(-11*f*x - 11*e) + 105*e^(-13*f*x - 13*e))/(3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2)) + 105*arctan(e^(-f*x - e))/a^(3/2))/f + 3/256*(2*(45*e^(-f*x - e) - 100*e^(-3*f*x - 3*e) - 51*e^(-5*f*x - 5*e) + 248*e^(-7*f*x - 7*e) - 81*e^(-9*f*x - 9*e) + 300*e^(-11*f*x - 11*e) - 105*e^(-13*f*x - 13*e))/(3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2)) - 60*arctan(e^(-f*x - e))/a^(3/2) + 75*log(e^(-f*x - e) + 1)/a^(3/2) - 75*log(e^(-f*x - e) - 1)/a^(3/2))/f - 3/320*(4*(45*e^(-f*x - e) - 135*e^(-3*f*x - 3*e) + 54*e^(-5*f*x - 5*e) + 198*e^(-7*f*x - 7*e) - 211*e^(-9*f*x - 9*e) - 15*e^(-11*f*x - 11*e))/(3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2)) + 90*arctan(e^(-f*x - e))/a^(3/2) + 45*log(e^(-f*x - e) + 1)/a^(3/2) - 45*log(e^(-f*x - e) - 1)/a^(3/2))/f + 3/320*(4*(15*e^(-3*f*x - 3*e) + 211*e^(-5*f*x - 5*e) - 198*e^(-7*f*x - 7*e) - 54*e^(-9*f*x - 9*e) + 135*e^(-11*f*x - 11*e) - 45*e^(-13*f*x - 13*e))/(3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2)) - 90*arctan(e^(-f*x - e))/a^(3/2) + 45*log(e^(-f*x - e) + 1)/a^(3/2) - 45*log(e^(-f*x - e) - 1)/a^(3/2))/f + 1/1920*(1155*e^(-f*x - e) + 1460*e^(-3*f*x - 3*e) - 4173*e^(-5*f*x - 5*e) + 2024*e^(-7*f*x - 7*e) + 1857*e^(-9*f*x - 9*e) - 2140*e^(-11*f*x - 11*e) + 585*e^(-13*f*x - 13*e))/((3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2))*f) + 1/1920*(585*e^(-f*x - e) - 2140*e^(-3*f*x - 3*e) + 1857*e^(-5*f*x - 5*e) + 2024*e^(-7*f*x - 7*e) - 4173*e^(-9*f*x - 9*e) + 1460*e^(-11*f*x - 11*e) + 1155*e^(-13*f*x - 13*e))/((3*a^(3/2)*e^(-2*f*x - 2*e) - a^(3/2)*e^(-4*f*x - 4*e) - 5*a^(3/2)*e^(-6*f*x - 6*e) + 5*a^(3/2)*e^(-8*f*x - 8*e) + a^(3/2)*e^(-10*f*x - 10*e) - 3*a^(3/2)*e^(-12*f*x - 12*e) + a^(3/2)*e^(-14*f*x - 14*e) - a^(3/2))*f) + 29/32*arctan(e^(-f*x - e))/(a^(3/2)*f)","B",0
456,1,2216,0,0.683626," ","integrate(coth(f*x+e)^8/(a+a*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(4095 \, e^{\left(-f x - e\right)} - 20090 \, e^{\left(-3 \, f x - 3 \, e\right)} + 31654 \, e^{\left(-5 \, f x - 5 \, e\right)} - 850 \, e^{\left(-7 \, f x - 7 \, e\right)} - 51148 \, e^{\left(-9 \, f x - 9 \, e\right)} + 51090 \, e^{\left(-11 \, f x - 11 \, e\right)} - 2646 \, e^{\left(-13 \, f x - 13 \, e\right)} + 4410 \, e^{\left(-15 \, f x - 15 \, e\right)} - 1155 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} + \frac{2940 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{2625 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{2625 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{3840 \, f} - \frac{\frac{2 \, {\left(4095 \, e^{\left(-f x - e\right)} - 21630 \, e^{\left(-3 \, f x - 3 \, e\right)} + 39354 \, e^{\left(-5 \, f x - 5 \, e\right)} - 13830 \, e^{\left(-7 \, f x - 7 \, e\right)} - 47848 \, e^{\left(-9 \, f x - 9 \, e\right)} + 66950 \, e^{\left(-11 \, f x - 11 \, e\right)} - 22106 \, e^{\left(-13 \, f x - 13 \, e\right)} - 18690 \, e^{\left(-15 \, f x - 15 \, e\right)} + 3465 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} + \frac{7560 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{315 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{315 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{8960 \, f} - \frac{\frac{2 \, {\left(3465 \, e^{\left(-f x - e\right)} - 18690 \, e^{\left(-3 \, f x - 3 \, e\right)} - 22106 \, e^{\left(-5 \, f x - 5 \, e\right)} + 66950 \, e^{\left(-7 \, f x - 7 \, e\right)} - 47848 \, e^{\left(-9 \, f x - 9 \, e\right)} - 13830 \, e^{\left(-11 \, f x - 11 \, e\right)} + 39354 \, e^{\left(-13 \, f x - 13 \, e\right)} - 21630 \, e^{\left(-15 \, f x - 15 \, e\right)} + 4095 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} + \frac{7560 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} - \frac{315 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} + \frac{315 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{8960 \, f} - \frac{\frac{2 \, {\left(1155 \, e^{\left(-f x - e\right)} - 4410 \, e^{\left(-3 \, f x - 3 \, e\right)} + 2646 \, e^{\left(-5 \, f x - 5 \, e\right)} - 51090 \, e^{\left(-7 \, f x - 7 \, e\right)} + 51148 \, e^{\left(-9 \, f x - 9 \, e\right)} + 850 \, e^{\left(-11 \, f x - 11 \, e\right)} - 31654 \, e^{\left(-13 \, f x - 13 \, e\right)} + 20090 \, e^{\left(-15 \, f x - 15 \, e\right)} - 4095 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} - \frac{2940 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{2625 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{2625 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{3840 \, f} + \frac{\frac{2 \, {\left(1155 \, e^{\left(-f x - e\right)} - 5670 \, e^{\left(-3 \, f x - 3 \, e\right)} + 8946 \, e^{\left(-5 \, f x - 5 \, e\right)} - 270 \, e^{\left(-7 \, f x - 7 \, e\right)} + 4696 \, e^{\left(-9 \, f x - 9 \, e\right)} - 2930 \, e^{\left(-11 \, f x - 11 \, e\right)} - 658 \, e^{\left(-13 \, f x - 13 \, e\right)} + 1190 \, e^{\left(-15 \, f x - 15 \, e\right)} - 315 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} + \frac{840 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{735 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{735 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{768 \, f} - \frac{\frac{2 \, {\left(315 \, e^{\left(-f x - e\right)} - 1190 \, e^{\left(-3 \, f x - 3 \, e\right)} + 658 \, e^{\left(-5 \, f x - 5 \, e\right)} + 2930 \, e^{\left(-7 \, f x - 7 \, e\right)} - 4696 \, e^{\left(-9 \, f x - 9 \, e\right)} + 270 \, e^{\left(-11 \, f x - 11 \, e\right)} - 8946 \, e^{\left(-13 \, f x - 13 \, e\right)} + 5670 \, e^{\left(-15 \, f x - 15 \, e\right)} - 1155 \, e^{\left(-17 \, f x - 17 \, e\right)}\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} - \frac{840 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}} + \frac{735 \, \log\left(e^{\left(-f x - e\right)} + 1\right)}{a^{\frac{3}{2}}} - \frac{735 \, \log\left(e^{\left(-f x - e\right)} - 1\right)}{a^{\frac{3}{2}}}}{768 \, f} - \frac{\frac{315 \, e^{\left(-f x - e\right)} - 1680 \, e^{\left(-3 \, f x - 3 \, e\right)} + 3108 \, e^{\left(-5 \, f x - 5 \, e\right)} - 1200 \, e^{\left(-7 \, f x - 7 \, e\right)} - 3646 \, e^{\left(-9 \, f x - 9 \, e\right)} - 1200 \, e^{\left(-11 \, f x - 11 \, e\right)} + 3108 \, e^{\left(-13 \, f x - 13 \, e\right)} - 1680 \, e^{\left(-15 \, f x - 15 \, e\right)} + 315 \, e^{\left(-17 \, f x - 17 \, e\right)}}{5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}} + \frac{315 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{a^{\frac{3}{2}}}}{128 \, f} + \frac{1155 \, e^{\left(-f x - e\right)} + 1393 \, e^{\left(-3 \, f x - 3 \, e\right)} - 4865 \, e^{\left(-5 \, f x - 5 \, e\right)} + 3965 \, e^{\left(-7 \, f x - 7 \, e\right)} + 825 \, e^{\left(-9 \, f x - 9 \, e\right)} - 3245 \, e^{\left(-11 \, f x - 11 \, e\right)} + 1925 \, e^{\left(-13 \, f x - 13 \, e\right)} - 385 \, e^{\left(-15 \, f x - 15 \, e\right)}}{2688 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}\right)} f} - \frac{385 \, e^{\left(-3 \, f x - 3 \, e\right)} - 1925 \, e^{\left(-5 \, f x - 5 \, e\right)} + 3245 \, e^{\left(-7 \, f x - 7 \, e\right)} - 825 \, e^{\left(-9 \, f x - 9 \, e\right)} - 3965 \, e^{\left(-11 \, f x - 11 \, e\right)} + 4865 \, e^{\left(-13 \, f x - 13 \, e\right)} - 1393 \, e^{\left(-15 \, f x - 15 \, e\right)} - 1155 \, e^{\left(-17 \, f x - 17 \, e\right)}}{2688 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, f x - 2 \, e\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-4 \, f x - 4 \, e\right)} + 14 \, a^{\frac{3}{2}} e^{\left(-8 \, f x - 8 \, e\right)} - 14 \, a^{\frac{3}{2}} e^{\left(-10 \, f x - 10 \, e\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-14 \, f x - 14 \, e\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-16 \, f x - 16 \, e\right)} + a^{\frac{3}{2}} e^{\left(-18 \, f x - 18 \, e\right)} - a^{\frac{3}{2}}\right)} f} + \frac{55 \, \arctan\left(e^{\left(-f x - e\right)}\right)}{128 \, a^{\frac{3}{2}} f}"," ",0,"1/3840*(2*(4095*e^(-f*x - e) - 20090*e^(-3*f*x - 3*e) + 31654*e^(-5*f*x - 5*e) - 850*e^(-7*f*x - 7*e) - 51148*e^(-9*f*x - 9*e) + 51090*e^(-11*f*x - 11*e) - 2646*e^(-13*f*x - 13*e) + 4410*e^(-15*f*x - 15*e) - 1155*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) + 2940*arctan(e^(-f*x - e))/a^(3/2) + 2625*log(e^(-f*x - e) + 1)/a^(3/2) - 2625*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/8960*(2*(4095*e^(-f*x - e) - 21630*e^(-3*f*x - 3*e) + 39354*e^(-5*f*x - 5*e) - 13830*e^(-7*f*x - 7*e) - 47848*e^(-9*f*x - 9*e) + 66950*e^(-11*f*x - 11*e) - 22106*e^(-13*f*x - 13*e) - 18690*e^(-15*f*x - 15*e) + 3465*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) + 7560*arctan(e^(-f*x - e))/a^(3/2) + 315*log(e^(-f*x - e) + 1)/a^(3/2) - 315*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/8960*(2*(3465*e^(-f*x - e) - 18690*e^(-3*f*x - 3*e) - 22106*e^(-5*f*x - 5*e) + 66950*e^(-7*f*x - 7*e) - 47848*e^(-9*f*x - 9*e) - 13830*e^(-11*f*x - 11*e) + 39354*e^(-13*f*x - 13*e) - 21630*e^(-15*f*x - 15*e) + 4095*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) + 7560*arctan(e^(-f*x - e))/a^(3/2) - 315*log(e^(-f*x - e) + 1)/a^(3/2) + 315*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/3840*(2*(1155*e^(-f*x - e) - 4410*e^(-3*f*x - 3*e) + 2646*e^(-5*f*x - 5*e) - 51090*e^(-7*f*x - 7*e) + 51148*e^(-9*f*x - 9*e) + 850*e^(-11*f*x - 11*e) - 31654*e^(-13*f*x - 13*e) + 20090*e^(-15*f*x - 15*e) - 4095*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) - 2940*arctan(e^(-f*x - e))/a^(3/2) + 2625*log(e^(-f*x - e) + 1)/a^(3/2) - 2625*log(e^(-f*x - e) - 1)/a^(3/2))/f + 1/768*(2*(1155*e^(-f*x - e) - 5670*e^(-3*f*x - 3*e) + 8946*e^(-5*f*x - 5*e) - 270*e^(-7*f*x - 7*e) + 4696*e^(-9*f*x - 9*e) - 2930*e^(-11*f*x - 11*e) - 658*e^(-13*f*x - 13*e) + 1190*e^(-15*f*x - 15*e) - 315*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) + 840*arctan(e^(-f*x - e))/a^(3/2) + 735*log(e^(-f*x - e) + 1)/a^(3/2) - 735*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/768*(2*(315*e^(-f*x - e) - 1190*e^(-3*f*x - 3*e) + 658*e^(-5*f*x - 5*e) + 2930*e^(-7*f*x - 7*e) - 4696*e^(-9*f*x - 9*e) + 270*e^(-11*f*x - 11*e) - 8946*e^(-13*f*x - 13*e) + 5670*e^(-15*f*x - 15*e) - 1155*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) - 840*arctan(e^(-f*x - e))/a^(3/2) + 735*log(e^(-f*x - e) + 1)/a^(3/2) - 735*log(e^(-f*x - e) - 1)/a^(3/2))/f - 1/128*((315*e^(-f*x - e) - 1680*e^(-3*f*x - 3*e) + 3108*e^(-5*f*x - 5*e) - 1200*e^(-7*f*x - 7*e) - 3646*e^(-9*f*x - 9*e) - 1200*e^(-11*f*x - 11*e) + 3108*e^(-13*f*x - 13*e) - 1680*e^(-15*f*x - 15*e) + 315*e^(-17*f*x - 17*e))/(5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2)) + 315*arctan(e^(-f*x - e))/a^(3/2))/f + 1/2688*(1155*e^(-f*x - e) + 1393*e^(-3*f*x - 3*e) - 4865*e^(-5*f*x - 5*e) + 3965*e^(-7*f*x - 7*e) + 825*e^(-9*f*x - 9*e) - 3245*e^(-11*f*x - 11*e) + 1925*e^(-13*f*x - 13*e) - 385*e^(-15*f*x - 15*e))/((5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2))*f) - 1/2688*(385*e^(-3*f*x - 3*e) - 1925*e^(-5*f*x - 5*e) + 3245*e^(-7*f*x - 7*e) - 825*e^(-9*f*x - 9*e) - 3965*e^(-11*f*x - 11*e) + 4865*e^(-13*f*x - 13*e) - 1393*e^(-15*f*x - 15*e) - 1155*e^(-17*f*x - 17*e))/((5*a^(3/2)*e^(-2*f*x - 2*e) - 8*a^(3/2)*e^(-4*f*x - 4*e) + 14*a^(3/2)*e^(-8*f*x - 8*e) - 14*a^(3/2)*e^(-10*f*x - 10*e) + 8*a^(3/2)*e^(-14*f*x - 14*e) - 5*a^(3/2)*e^(-16*f*x - 16*e) + a^(3/2)*e^(-18*f*x - 18*e) - a^(3/2))*f) + 55/128*arctan(e^(-f*x - e))/(a^(3/2)*f)","B",0
457,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \tanh\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*tanh(f*x + e)^5, x)","F",0
458,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \tanh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*tanh(f*x + e)^3, x)","F",0
459,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \tanh\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*tanh(f*x + e), x)","F",0
460,0,0,0,0.000000," ","integrate(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \coth\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*coth(f*x + e), x)","F",0
461,0,0,0,0.000000," ","integrate(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \coth\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*coth(f*x + e)^3, x)","F",0
462,0,0,0,0.000000," ","integrate(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \coth\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*coth(f*x + e)^5, x)","F",0
463,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \tanh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*tanh(f*x + e)^4, x)","F",0
464,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \tanh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*tanh(f*x + e)^2, x)","F",0
465,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
466,0,0,0,0.000000," ","integrate(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \coth\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*coth(f*x + e)^2, x)","F",0
467,0,0,0,0.000000," ","integrate(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(f x + e\right)^{2} + a} \coth\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sinh(f*x + e)^2 + a)*coth(f*x + e)^4, x)","F",0
468,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^5,x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tanh\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*tanh(f*x + e)^5, x)","F",0
469,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^3,x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tanh\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*tanh(f*x + e)^3, x)","F",0
470,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tanh\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*tanh(f*x + e), x)","F",0
471,0,0,0,0.000000," ","integrate(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \coth\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*coth(f*x + e), x)","F",0
472,0,0,0,0.000000," ","integrate(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \coth\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*coth(f*x + e)^3, x)","F",0
473,0,0,0,0.000000," ","integrate(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \coth\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*coth(f*x + e)^5, x)","F",0
474,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^4,x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tanh\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*tanh(f*x + e)^4, x)","F",0
475,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^2,x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tanh\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*tanh(f*x + e)^2, x)","F",0
476,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
477,0,0,0,0.000000," ","integrate(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \coth\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*coth(f*x + e)^2, x)","F",0
478,0,0,0,0.000000," ","integrate(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \coth\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(3/2)*coth(f*x + e)^4, x)","F",0
479,0,0,0,0.000000," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{5}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^5/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
480,0,0,0,0.000000," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
481,0,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
482,0,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(f*x + e)/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
483,0,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{3}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(f*x + e)^3/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
484,0,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{5}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(f*x + e)^5/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
485,0,0,0,0.000000," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
486,0,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
487,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
488,0,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{2}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(f*x + e)^2/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
489,0,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{4}}{\sqrt{b \sinh\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(f*x + e)^4/sqrt(b*sinh(f*x + e)^2 + a), x)","F",0
490,0,0,0,0.000000," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
491,0,0,0,0.000000," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
492,0,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
493,0,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
494,0,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
495,0,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
496,0,0,0,0.000000," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
497,0,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
498,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-3/2), x)","F",0
499,0,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
500,0,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(3/2), x)","F",0
501,0,0,0,0.000000," ","integrate(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
502,0,0,0,0.000000," ","integrate(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
503,0,0,0,0.000000," ","integrate(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
504,0,0,0,0.000000," ","integrate(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
505,0,0,0,0.000000," ","integrate(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{3}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^3/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
506,0,0,0,0.000000," ","integrate(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{5}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^5/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
507,0,0,0,0.000000," ","integrate(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
508,0,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tanh(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
509,0,0,0,0.000000," ","integrate(1/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sinh(f*x + e)^2 + a)^(-5/2), x)","F",0
510,0,0,0,0.000000," ","integrate(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{2}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^2/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
511,0,0,0,0.000000," ","integrate(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\coth\left(f x + e\right)^{4}}{{\left(b \sinh\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(coth(f*x + e)^4/(b*sinh(f*x + e)^2 + a)^(5/2), x)","F",0
512,0,0,0,0.000000," ","integrate((a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^m,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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,-1,0,0,0.000000," ","integrate(coth(x)^3/(a+b*sinh(x)^3),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
522,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x)^3)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
