1,1,10,0,0.592480," ","integrate(sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)}{b}"," ",0,"cosh(b*x + a)/b","A",0
2,1,23,0,0.465242," ","integrate(sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b x - \cosh\left(b x + a\right) \sinh\left(b x + a\right)}{2 \, b}"," ",0,"-1/2*(b*x - cosh(b*x + a)*sinh(b*x + a))/b","A",0
3,1,38,0,0.512599," ","integrate(sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 9 \, \cosh\left(b x + a\right)}{12 \, b}"," ",0,"1/12*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 - 9*cosh(b*x + a))/b","A",0
4,1,49,0,0.477767," ","integrate(sinh(b*x+a)^4,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, b x + {\left(\cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{8 \, b}"," ",0,"1/8*(cosh(b*x + a)*sinh(b*x + a)^3 + 3*b*x + (cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a))/b","A",0
5,1,79,0,0.501403," ","integrate(sinh(b*x+a)^5,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 25 \, \cosh\left(b x + a\right)^{3} + 15 \, {\left(2 \, \cosh\left(b x + a\right)^{3} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 150 \, \cosh\left(b x + a\right)}{240 \, b}"," ",0,"1/240*(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 - 25*cosh(b*x + a)^3 + 15*(2*cosh(b*x + a)^3 - 5*cosh(b*x + a))*sinh(b*x + a)^2 + 150*cosh(b*x + a))/b","B",0
6,1,90,0,0.575587," ","integrate(sinh(b*x+a)^6,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 30 \, b x + 3 \, {\left(\cosh\left(b x + a\right)^{5} - 6 \, \cosh\left(b x + a\right)^{3} + 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{96 \, b}"," ",0,"1/96*(3*cosh(b*x + a)*sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^3 - 9*cosh(b*x + a))*sinh(b*x + a)^3 - 30*b*x + 3*(cosh(b*x + a)^5 - 6*cosh(b*x + a)^3 + 15*cosh(b*x + a))*sinh(b*x + a))/b","A",0
7,0,0,0,0.625849," ","integrate(sinh(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x + a\right)^{\frac{7}{2}}, x\right)"," ",0,"integral(sinh(b*x + a)^(7/2), x)","F",0
8,0,0,0,0.564209," ","integrate(sinh(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x + a\right)^{\frac{5}{2}}, x\right)"," ",0,"integral(sinh(b*x + a)^(5/2), x)","F",0
9,0,0,0,0.440266," ","integrate(sinh(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x + a\right)^{\frac{3}{2}}, x\right)"," ",0,"integral(sinh(b*x + a)^(3/2), x)","F",0
10,0,0,0,0.395549," ","integrate(sinh(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\sinh\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(sinh(b*x + a)), x)","F",0
11,0,0,0,0.641861," ","integrate(1/sinh(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{\sinh\left(b x + a\right)}}, x\right)"," ",0,"integral(1/sqrt(sinh(b*x + a)), x)","F",0
12,0,0,0,0.698276," ","integrate(1/sinh(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sinh\left(b x + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(sinh(b*x + a)^(-3/2), x)","F",0
13,0,0,0,0.471507," ","integrate(1/sinh(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sinh\left(b x + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(sinh(b*x + a)^(-5/2), x)","F",0
14,0,0,0,0.593344," ","integrate(1/sinh(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sinh\left(b x + a\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral(sinh(b*x + a)^(-7/2), x)","F",0
15,0,0,0,0.565240," ","integrate((b*sinh(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sinh\left(d x + c\right)} b^{3} \sinh\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))*b^3*sinh(d*x + c)^3, x)","F",0
16,0,0,0,0.541160," ","integrate((b*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sinh\left(d x + c\right)} b^{2} \sinh\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))*b^2*sinh(d*x + c)^2, x)","F",0
17,0,0,0,0.506233," ","integrate((b*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sinh\left(d x + c\right)} b \sinh\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))*b*sinh(d*x + c), x)","F",0
18,0,0,0,0.604400," ","integrate((b*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sinh\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c)), x)","F",0
19,0,0,0,0.506292," ","integrate(1/(b*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(d x + c\right)}}{b \sinh\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))/(b*sinh(d*x + c)), x)","F",0
20,0,0,0,0.639619," ","integrate(1/(b*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(d x + c\right)}}{b^{2} \sinh\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))/(b^2*sinh(d*x + c)^2), x)","F",0
21,0,0,0,0.489200," ","integrate(1/(b*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(d x + c\right)}}{b^{3} \sinh\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))/(b^3*sinh(d*x + c)^3), x)","F",0
22,0,0,0,0.556738," ","integrate(1/(b*sinh(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(d x + c\right)}}{b^{4} \sinh\left(d x + c\right)^{4}}, x\right)"," ",0,"integral(sqrt(b*sinh(d*x + c))/(b^4*sinh(d*x + c)^4), x)","F",0
23,0,0,0,0.631765," ","integrate((I*sinh(d*x+c))^(7/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\frac{1}{2}} {\left(-3 i \, e^{\left(6 \, d x + 6 \, c\right)} + 23 i \, e^{\left(4 \, d x + 4 \, c\right)} + 23 i \, e^{\left(2 \, d x + 2 \, c\right)} - 3 i\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 84 \, d e^{\left(3 \, d x + 3 \, c\right)} {\rm integral}\left(-\frac{10 i \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{21 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}, x\right)\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{84 \, d}"," ",0,"1/84*(sqrt(1/2)*(-3*I*e^(6*d*x + 6*c) + 23*I*e^(4*d*x + 4*c) + 23*I*e^(2*d*x + 2*c) - 3*I)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c) + 84*d*e^(3*d*x + 3*c)*integral(-10/21*I*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(2*d*x + 2*c) - d), x))*e^(-3*d*x - 3*c)/d","F",0
24,0,0,0,0.595543," ","integrate((I*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(e^{\left(5 \, d x + 5 \, c\right)} - 2 \, e^{\left(4 \, d x + 4 \, c\right)} - 12 \, e^{\left(3 \, d x + 3 \, c\right)} - 24 \, e^{\left(2 \, d x + 2 \, c\right)} - e^{\left(d x + c\right)} + 2\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 10 \, {\left(d e^{\left(3 \, d x + 3 \, c\right)} - 2 \, d e^{\left(2 \, d x + 2 \, c\right)}\right)} {\rm integral}\left(\frac{6 \, \sqrt{\frac{1}{2}} {\left(2 \, e^{\left(2 \, d x + 2 \, c\right)} + 3 \, e^{\left(d x + c\right)} - 2\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{5 \, {\left(d e^{\left(4 \, d x + 4 \, c\right)} - 4 \, d e^{\left(3 \, d x + 3 \, c\right)} + 3 \, d e^{\left(2 \, d x + 2 \, c\right)} + 4 \, d e^{\left(d x + c\right)} - 4 \, d\right)}}, x\right)}{10 \, {\left(d e^{\left(3 \, d x + 3 \, c\right)} - 2 \, d e^{\left(2 \, d x + 2 \, c\right)}\right)}}"," ",0,"-1/10*(sqrt(1/2)*(e^(5*d*x + 5*c) - 2*e^(4*d*x + 4*c) - 12*e^(3*d*x + 3*c) - 24*e^(2*d*x + 2*c) - e^(d*x + c) + 2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c) - 10*(d*e^(3*d*x + 3*c) - 2*d*e^(2*d*x + 2*c))*integral(6/5*sqrt(1/2)*(2*e^(2*d*x + 2*c) + 3*e^(d*x + c) - 2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(4*d*x + 4*c) - 4*d*e^(3*d*x + 3*c) + 3*d*e^(2*d*x + 2*c) + 4*d*e^(d*x + c) - 4*d), x))/(d*e^(3*d*x + 3*c) - 2*d*e^(2*d*x + 2*c))","F",0
25,0,0,0,0.805158," ","integrate((I*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\frac{1}{2}} {\left(i \, e^{\left(2 \, d x + 2 \, c\right)} + i\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 3 \, d e^{\left(d x + c\right)} {\rm integral}\left(-\frac{2 i \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{3 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}, x\right)\right)} e^{\left(-d x - c\right)}}{3 \, d}"," ",0,"1/3*(sqrt(1/2)*(I*e^(2*d*x + 2*c) + I)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c) + 3*d*e^(d*x + c)*integral(-2/3*I*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(2*d*x + 2*c) - d), x))*e^(-d*x - c)/d","F",0
26,0,0,0,0.499978," ","integrate((I*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} {\left(e^{\left(d x + c\right)} + 2\right)} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + {\left(d e^{\left(d x + c\right)} - 2 \, d\right)} {\rm integral}\left(\frac{2 \, \sqrt{\frac{1}{2}} {\left(2 \, e^{\left(2 \, d x + 2 \, c\right)} + 3 \, e^{\left(d x + c\right)} - 2\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d e^{\left(4 \, d x + 4 \, c\right)} - 4 \, d e^{\left(3 \, d x + 3 \, c\right)} + 3 \, d e^{\left(2 \, d x + 2 \, c\right)} + 4 \, d e^{\left(d x + c\right)} - 4 \, d}, x\right)}{d e^{\left(d x + c\right)} - 2 \, d}"," ",0,"(2*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*(e^(d*x + c) + 2)*e^(-1/2*d*x - 1/2*c) + (d*e^(d*x + c) - 2*d)*integral(2*sqrt(1/2)*(2*e^(2*d*x + 2*c) + 3*e^(d*x + c) - 2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(4*d*x + 4*c) - 4*d*e^(3*d*x + 3*c) + 3*d*e^(2*d*x + 2*c) + 4*d*e^(d*x + c) - 4*d), x))/(d*e^(d*x + c) - 2*d)","F",0
27,0,0,0,0.557055," ","integrate(1/(I*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{2 i \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d e^{\left(2 \, d x + 2 \, c\right)} - d}, x\right)"," ",0,"integral(-2*I*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(2*d*x + 2*c) - d), x)","F",0
28,0,0,0,1.271030," ","integrate(1/(I*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right)} + {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} {\rm integral}\left(-\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{d e^{\left(2 \, d x + 2 \, c\right)} - d}, x\right)}{d e^{\left(2 \, d x + 2 \, c\right)} - d}"," ",0,"(4*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(3/2*d*x + 3/2*c) + (d*e^(2*d*x + 2*c) - d)*integral(-2*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(1/2*d*x + 1/2*c)/(d*e^(2*d*x + 2*c) - d), x))/(d*e^(2*d*x + 2*c) - d)","F",0
29,0,0,0,0.477998," ","integrate(1/(I*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(-4 i \, e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, e^{\left(d x + c\right)}\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 3 \, {\left(d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, d e^{\left(2 \, d x + 2 \, c\right)} + d\right)} {\rm integral}\left(-\frac{2 i \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{3 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}, x\right)}{3 \, {\left(d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, d e^{\left(2 \, d x + 2 \, c\right)} + d\right)}}"," ",0,"1/3*(sqrt(1/2)*(-4*I*e^(3*d*x + 3*c) - 4*I*e^(d*x + c))*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c) + 3*(d*e^(4*d*x + 4*c) - 2*d*e^(2*d*x + 2*c) + d)*integral(-2/3*I*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c)/(d*e^(2*d*x + 2*c) - d), x))/(d*e^(4*d*x + 4*c) - 2*d*e^(2*d*x + 2*c) + d)","F",0
30,0,0,0,0.594697," ","integrate(1/(I*sinh(d*x+c))^(7/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{\frac{1}{2}} {\left(3 \, e^{\left(6 \, d x + 6 \, c\right)} - 8 \, e^{\left(4 \, d x + 4 \, c\right)} + e^{\left(2 \, d x + 2 \, c\right)}\right)} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 5 \, {\left(d e^{\left(6 \, d x + 6 \, c\right)} - 3 \, d e^{\left(4 \, d x + 4 \, c\right)} + 3 \, d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} {\rm integral}\left(-\frac{6 \, \sqrt{\frac{1}{2}} \sqrt{i \, e^{\left(2 \, d x + 2 \, c\right)} - i} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{5 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}, x\right)}{5 \, {\left(d e^{\left(6 \, d x + 6 \, c\right)} - 3 \, d e^{\left(4 \, d x + 4 \, c\right)} + 3 \, d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}"," ",0,"1/5*(4*sqrt(1/2)*(3*e^(6*d*x + 6*c) - 8*e^(4*d*x + 4*c) + e^(2*d*x + 2*c))*sqrt(I*e^(2*d*x + 2*c) - I)*e^(-1/2*d*x - 1/2*c) + 5*(d*e^(6*d*x + 6*c) - 3*d*e^(4*d*x + 4*c) + 3*d*e^(2*d*x + 2*c) - d)*integral(-6/5*sqrt(1/2)*sqrt(I*e^(2*d*x + 2*c) - I)*e^(1/2*d*x + 1/2*c)/(d*e^(2*d*x + 2*c) - d), x))/(d*e^(6*d*x + 6*c) - 3*d*e^(4*d*x + 4*c) + 3*d*e^(2*d*x + 2*c) - d)","F",0
31,0,0,0,0.579560," ","integrate((b*sinh(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sinh\left(d x + c\right)\right)^{\frac{1}{3}} b \sinh\left(d x + c\right), x\right)"," ",0,"integral((b*sinh(d*x + c))^(1/3)*b*sinh(d*x + c), x)","F",0
32,0,0,0,0.473724," ","integrate((b*sinh(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sinh\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((b*sinh(d*x + c))^(2/3), x)","F",0
33,0,0,0,0.574242," ","integrate((b*sinh(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sinh\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((b*sinh(d*x + c))^(1/3), x)","F",0
34,0,0,0,0.911982," ","integrate(1/(b*sinh(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sinh\left(d x + c\right)\right)^{\frac{2}{3}}}{b \sinh\left(d x + c\right)}, x\right)"," ",0,"integral((b*sinh(d*x + c))^(2/3)/(b*sinh(d*x + c)), x)","F",0
35,0,0,0,0.662518," ","integrate(1/(b*sinh(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sinh\left(d x + c\right)\right)^{\frac{1}{3}}}{b \sinh\left(d x + c\right)}, x\right)"," ",0,"integral((b*sinh(d*x + c))^(1/3)/(b*sinh(d*x + c)), x)","F",0
36,0,0,0,0.503925," ","integrate(1/(b*sinh(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \sinh\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \sinh\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((b*sinh(d*x + c))^(2/3)/(b^2*sinh(d*x + c)^2), x)","F",0
37,0,0,0,0.762272," ","integrate((b*sinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \sinh\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*sinh(d*x + c))^n, x)","F",0
38,0,0,0,0.549453," ","integrate((I*sinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(\frac{1}{2} \, {\left(i \, e^{\left(2 \, d x + 2 \, c\right)} - i\right)} e^{\left(-d x - c\right)}\right)^{n}, x\right)"," ",0,"integral((1/2*(I*e^(2*d*x + 2*c) - I)*e^(-d*x - c))^n, x)","F",0
39,0,0,0,0.602763," ","integrate((-I*sinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(\frac{1}{2} \, {\left(-i \, e^{\left(2 \, d x + 2 \, c\right)} + i\right)} e^{\left(-d x - c\right)}\right)^{n}, x\right)"," ",0,"integral((1/2*(-I*e^(2*d*x + 2*c) + I)*e^(-d*x - c))^n, x)","F",0
40,1,64,0,0.616218," ","integrate(sinh(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(36 i \, x - 21 i\right)} e^{\left(4 \, x\right)} - 3 \, {\left(12 \, x + 23\right)} e^{\left(3 \, x\right)} + e^{\left(7 \, x\right)} - 2 i \, e^{\left(6 \, x\right)} - 18 \, e^{\left(5 \, x\right)} - 18 i \, e^{\left(2 \, x\right)} - 2 \, e^{x} + i}{24 \, {\left(e^{\left(4 \, x\right)} + i \, e^{\left(3 \, x\right)}\right)}}"," ",0,"1/24*((36*I*x - 21*I)*e^(4*x) - 3*(12*x + 23)*e^(3*x) + e^(7*x) - 2*I*e^(6*x) - 18*e^(5*x) - 18*I*e^(2*x) - 2*e^x + I)/(e^(4*x) + I*e^(3*x))","A",0
41,1,57,0,0.611912," ","integrate(sinh(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, x - 1\right)} e^{\left(3 \, x\right)} - {\left(-12 i \, x - 20 i\right)} e^{\left(2 \, x\right)} - e^{\left(5 \, x\right)} + 3 i \, e^{\left(4 \, x\right)} - 3 \, e^{x} + i}{8 \, e^{\left(3 \, x\right)} + 8 i \, e^{\left(2 \, x\right)}}"," ",0,"-(4*(3*x - 1)*e^(3*x) - (-12*I*x - 20*I)*e^(2*x) - e^(5*x) + 3*I*e^(4*x) - 3*e^x + I)/(8*e^(3*x) + 8*I*e^(2*x))","B",0
42,1,38,0,0.417399," ","integrate(sinh(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(-2 i \, x + i\right)} e^{\left(2 \, x\right)} + {\left(2 \, x + 5\right)} e^{x} + e^{\left(3 \, x\right)} + i}{2 \, e^{\left(2 \, x\right)} + 2 i \, e^{x}}"," ",0,"((-2*I*x + I)*e^(2*x) + (2*x + 5)*e^x + e^(3*x) + I)/(2*e^(2*x) + 2*I*e^x)","B",0
43,1,16,0,1.020026," ","integrate(sinh(x)/(I+sinh(x)),x, algorithm=""fricas"")","\frac{x e^{x} + i \, x + 2 i}{e^{x} + i}"," ",0,"(x*e^x + I*x + 2*I)/(e^x + I)","A",0
44,1,33,0,0.528638," ","integrate(csch(x)/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(i \, e^{x} - 1\right)} \log\left(e^{x} + 1\right) + {\left(-i \, e^{x} + 1\right)} \log\left(e^{x} - 1\right) - 2 i}{e^{x} + i}"," ",0,"((I*e^x - 1)*log(e^x + 1) + (-I*e^x + 1)*log(e^x - 1) - 2*I)/(e^x + I)","B",0
45,1,77,0,0.490342," ","integrate(csch(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i\right)} \log\left(e^{x} + 1\right) - {\left(e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i\right)} \log\left(e^{x} - 1\right) - 2 \, e^{\left(2 \, x\right)} - 2 i \, e^{x} + 4}{e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i}"," ",0,"-((e^(3*x) + I*e^(2*x) - e^x - I)*log(e^x + 1) - (e^(3*x) + I*e^(2*x) - e^x - I)*log(e^x - 1) - 2*e^(2*x) - 2*I*e^x + 4)/(e^(3*x) + I*e^(2*x) - e^x - I)","B",0
46,1,129,0,0.729771," ","integrate(csch(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(-3 i \, e^{\left(5 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 6 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 3 i \, e^{x} + 3\right)} \log\left(e^{x} + 1\right) + {\left(3 i \, e^{\left(5 \, x\right)} - 3 \, e^{\left(4 \, x\right)} - 6 i \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 3 i \, e^{x} - 3\right)} \log\left(e^{x} - 1\right) + 6 i \, e^{\left(4 \, x\right)} - 6 \, e^{\left(3 \, x\right)} - 10 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 8 i}{2 \, e^{\left(5 \, x\right)} + 2 i \, e^{\left(4 \, x\right)} - 4 \, e^{\left(3 \, x\right)} - 4 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 2 i}"," ",0,"((-3*I*e^(5*x) + 3*e^(4*x) + 6*I*e^(3*x) - 6*e^(2*x) - 3*I*e^x + 3)*log(e^x + 1) + (3*I*e^(5*x) - 3*e^(4*x) - 6*I*e^(3*x) + 6*e^(2*x) + 3*I*e^x - 3)*log(e^x - 1) + 6*I*e^(4*x) - 6*e^(3*x) - 10*I*e^(2*x) + 2*e^x + 8*I)/(2*e^(5*x) + 2*I*e^(4*x) - 4*e^(3*x) - 4*I*e^(2*x) + 2*e^x + 2*I)","B",0
47,1,178,0,1.160825," ","integrate(csch(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(9 \, e^{\left(7 \, x\right)} + 9 i \, e^{\left(6 \, x\right)} - 27 \, e^{\left(5 \, x\right)} - 27 i \, e^{\left(4 \, x\right)} + 27 \, e^{\left(3 \, x\right)} + 27 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 9 i\right)} \log\left(e^{x} + 1\right) - {\left(9 \, e^{\left(7 \, x\right)} + 9 i \, e^{\left(6 \, x\right)} - 27 \, e^{\left(5 \, x\right)} - 27 i \, e^{\left(4 \, x\right)} + 27 \, e^{\left(3 \, x\right)} + 27 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 9 i\right)} \log\left(e^{x} - 1\right) - 18 \, e^{\left(6 \, x\right)} - 18 i \, e^{\left(5 \, x\right)} + 48 \, e^{\left(4 \, x\right)} + 48 i \, e^{\left(3 \, x\right)} - 78 \, e^{\left(2 \, x\right)} - 14 i \, e^{x} + 32}{6 \, e^{\left(7 \, x\right)} + 6 i \, e^{\left(6 \, x\right)} - 18 \, e^{\left(5 \, x\right)} - 18 i \, e^{\left(4 \, x\right)} + 18 \, e^{\left(3 \, x\right)} + 18 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 6 i}"," ",0,"((9*e^(7*x) + 9*I*e^(6*x) - 27*e^(5*x) - 27*I*e^(4*x) + 27*e^(3*x) + 27*I*e^(2*x) - 9*e^x - 9*I)*log(e^x + 1) - (9*e^(7*x) + 9*I*e^(6*x) - 27*e^(5*x) - 27*I*e^(4*x) + 27*e^(3*x) + 27*I*e^(2*x) - 9*e^x - 9*I)*log(e^x - 1) - 18*e^(6*x) - 18*I*e^(5*x) + 48*e^(4*x) + 48*I*e^(3*x) - 78*e^(2*x) - 14*I*e^x + 32)/(6*e^(7*x) + 6*I*e^(6*x) - 18*e^(5*x) - 18*I*e^(4*x) + 18*e^(3*x) + 18*I*e^(2*x) - 6*e^x - 6*I)","B",0
48,1,91,0,0.484420," ","integrate(sinh(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{21 \, {\left(4 \, x - 3\right)} e^{\left(5 \, x\right)} - {\left(-252 i \, x - 147 i\right)} e^{\left(4 \, x\right)} - 3 \, {\left(84 \, x + 127\right)} e^{\left(3 \, x\right)} - {\left(84 i \, x + 239 i\right)} e^{\left(2 \, x\right)} - 3 \, e^{\left(7 \, x\right)} + 15 i \, e^{\left(6 \, x\right)} + 15 \, e^{x} - 3 i}{24 \, e^{\left(5 \, x\right)} + 72 i \, e^{\left(4 \, x\right)} - 72 \, e^{\left(3 \, x\right)} - 24 i \, e^{\left(2 \, x\right)}}"," ",0,"-(21*(4*x - 3)*e^(5*x) - (-252*I*x - 147*I)*e^(4*x) - 3*(84*x + 127)*e^(3*x) - (84*I*x + 239*I)*e^(2*x) - 3*e^(7*x) + 15*I*e^(6*x) + 15*e^x - 3*I)/(24*e^(5*x) + 72*I*e^(4*x) - 72*e^(3*x) - 24*I*e^(2*x))","B",0
49,1,74,0,0.523396," ","integrate(sinh(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-12 i \, x + 9 i\right)} e^{\left(4 \, x\right)} + 6 \, {\left(6 \, x + 5\right)} e^{\left(3 \, x\right)} + {\left(36 i \, x + 66 i\right)} e^{\left(2 \, x\right)} - {\left(12 \, x + 41\right)} e^{x} + 3 \, e^{\left(5 \, x\right)} - 3 i}{6 \, e^{\left(4 \, x\right)} + 18 i \, e^{\left(3 \, x\right)} - 18 \, e^{\left(2 \, x\right)} - 6 i \, e^{x}}"," ",0,"((-12*I*x + 9*I)*e^(4*x) + 6*(6*x + 5)*e^(3*x) + (36*I*x + 66*I)*e^(2*x) - (12*x + 41)*e^x + 3*e^(5*x) - 3*I)/(6*e^(4*x) + 18*I*e^(3*x) - 18*e^(2*x) - 6*I*e^x)","B",0
50,1,50,0,0.517615," ","integrate(sinh(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{3 \, x e^{\left(3 \, x\right)} + {\left(9 i \, x + 12 i\right)} e^{\left(2 \, x\right)} - 9 \, {\left(x + 2\right)} e^{x} - 3 i \, x - 10 i}{3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i}"," ",0,"(3*x*e^(3*x) + (9*I*x + 12*I)*e^(2*x) - 9*(x + 2)*e^x - 3*I*x - 10*I)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","B",0
51,1,34,0,0.485529," ","integrate(sinh(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{6 \, e^{\left(2 \, x\right)} + 6 i \, e^{x} - 4}{3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i}"," ",0,"-(6*e^(2*x) + 6*I*e^x - 4)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","A",0
52,1,82,0,0.500031," ","integrate(csch(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i\right)} \log\left(e^{x} + 1\right) - {\left(3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i\right)} \log\left(e^{x} - 1\right) - 6 \, e^{\left(2 \, x\right)} - 18 i \, e^{x} + 8}{3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i}"," ",0,"((3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)*log(e^x + 1) - (3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)*log(e^x - 1) - 6*e^(2*x) - 18*I*e^x + 8)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","B",0
53,1,129,0,0.473187," ","integrate(csch(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(6 i \, e^{\left(5 \, x\right)} - 18 \, e^{\left(4 \, x\right)} - 24 i \, e^{\left(3 \, x\right)} + 24 \, e^{\left(2 \, x\right)} + 18 i \, e^{x} - 6\right)} \log\left(e^{x} + 1\right) + {\left(-6 i \, e^{\left(5 \, x\right)} + 18 \, e^{\left(4 \, x\right)} + 24 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} - 18 i \, e^{x} + 6\right)} \log\left(e^{x} - 1\right) - 12 i \, e^{\left(4 \, x\right)} + 36 \, e^{\left(3 \, x\right)} + 44 i \, e^{\left(2 \, x\right)} - 48 \, e^{x} - 20 i}{3 \, e^{\left(5 \, x\right)} + 9 i \, e^{\left(4 \, x\right)} - 12 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} + 9 \, e^{x} + 3 i}"," ",0,"((6*I*e^(5*x) - 18*e^(4*x) - 24*I*e^(3*x) + 24*e^(2*x) + 18*I*e^x - 6)*log(e^x + 1) + (-6*I*e^(5*x) + 18*e^(4*x) + 24*I*e^(3*x) - 24*e^(2*x) - 18*I*e^x + 6)*log(e^x - 1) - 12*I*e^(4*x) + 36*e^(3*x) + 44*I*e^(2*x) - 48*e^x - 20*I)/(3*e^(5*x) + 9*I*e^(4*x) - 12*e^(3*x) - 12*I*e^(2*x) + 9*e^x + 3*I)","B",0
54,1,179,0,0.606209," ","integrate(csch(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{{\left(21 \, e^{\left(7 \, x\right)} + 63 i \, e^{\left(6 \, x\right)} - 105 \, e^{\left(5 \, x\right)} - 147 i \, e^{\left(4 \, x\right)} + 147 \, e^{\left(3 \, x\right)} + 105 i \, e^{\left(2 \, x\right)} - 63 \, e^{x} - 21 i\right)} \log\left(e^{x} + 1\right) - {\left(21 \, e^{\left(7 \, x\right)} + 63 i \, e^{\left(6 \, x\right)} - 105 \, e^{\left(5 \, x\right)} - 147 i \, e^{\left(4 \, x\right)} + 147 \, e^{\left(3 \, x\right)} + 105 i \, e^{\left(2 \, x\right)} - 63 \, e^{x} - 21 i\right)} \log\left(e^{x} - 1\right) - 42 \, e^{\left(6 \, x\right)} - 126 i \, e^{\left(5 \, x\right)} + 196 \, e^{\left(4 \, x\right)} + 252 i \, e^{\left(3 \, x\right)} - 194 \, e^{\left(2 \, x\right)} - 150 i \, e^{x} + 64}{6 \, e^{\left(7 \, x\right)} + 18 i \, e^{\left(6 \, x\right)} - 30 \, e^{\left(5 \, x\right)} - 42 i \, e^{\left(4 \, x\right)} + 42 \, e^{\left(3 \, x\right)} + 30 i \, e^{\left(2 \, x\right)} - 18 \, e^{x} - 6 i}"," ",0,"-((21*e^(7*x) + 63*I*e^(6*x) - 105*e^(5*x) - 147*I*e^(4*x) + 147*e^(3*x) + 105*I*e^(2*x) - 63*e^x - 21*I)*log(e^x + 1) - (21*e^(7*x) + 63*I*e^(6*x) - 105*e^(5*x) - 147*I*e^(4*x) + 147*e^(3*x) + 105*I*e^(2*x) - 63*e^x - 21*I)*log(e^x - 1) - 42*e^(6*x) - 126*I*e^(5*x) + 196*e^(4*x) + 252*I*e^(3*x) - 194*e^(2*x) - 150*I*e^x + 64)/(6*e^(7*x) + 18*I*e^(6*x) - 30*e^(5*x) - 42*I*e^(4*x) + 42*e^(3*x) + 30*I*e^(2*x) - 18*e^x - 6*I)","B",0
55,1,225,0,0.479752," ","integrate(csch(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-15 i \, e^{\left(9 \, x\right)} + 45 \, e^{\left(8 \, x\right)} + 90 i \, e^{\left(7 \, x\right)} - 150 \, e^{\left(6 \, x\right)} - 180 i \, e^{\left(5 \, x\right)} + 180 \, e^{\left(4 \, x\right)} + 150 i \, e^{\left(3 \, x\right)} - 90 \, e^{\left(2 \, x\right)} - 45 i \, e^{x} + 15\right)} \log\left(e^{x} + 1\right) + {\left(15 i \, e^{\left(9 \, x\right)} - 45 \, e^{\left(8 \, x\right)} - 90 i \, e^{\left(7 \, x\right)} + 150 \, e^{\left(6 \, x\right)} + 180 i \, e^{\left(5 \, x\right)} - 180 \, e^{\left(4 \, x\right)} - 150 i \, e^{\left(3 \, x\right)} + 90 \, e^{\left(2 \, x\right)} + 45 i \, e^{x} - 15\right)} \log\left(e^{x} - 1\right) + 30 i \, e^{\left(8 \, x\right)} - 90 \, e^{\left(7 \, x\right)} - 170 i \, e^{\left(6 \, x\right)} + 270 \, e^{\left(5 \, x\right)} + 306 i \, e^{\left(4 \, x\right)} - 310 \, e^{\left(3 \, x\right)} - 198 i \, e^{\left(2 \, x\right)} + 114 \, e^{x} + 48 i}{3 \, e^{\left(9 \, x\right)} + 9 i \, e^{\left(8 \, x\right)} - 18 \, e^{\left(7 \, x\right)} - 30 i \, e^{\left(6 \, x\right)} + 36 \, e^{\left(5 \, x\right)} + 36 i \, e^{\left(4 \, x\right)} - 30 \, e^{\left(3 \, x\right)} - 18 i \, e^{\left(2 \, x\right)} + 9 \, e^{x} + 3 i}"," ",0,"((-15*I*e^(9*x) + 45*e^(8*x) + 90*I*e^(7*x) - 150*e^(6*x) - 180*I*e^(5*x) + 180*e^(4*x) + 150*I*e^(3*x) - 90*e^(2*x) - 45*I*e^x + 15)*log(e^x + 1) + (15*I*e^(9*x) - 45*e^(8*x) - 90*I*e^(7*x) + 150*e^(6*x) + 180*I*e^(5*x) - 180*e^(4*x) - 150*I*e^(3*x) + 90*e^(2*x) + 45*I*e^x - 15)*log(e^x - 1) + 30*I*e^(8*x) - 90*e^(7*x) - 170*I*e^(6*x) + 270*e^(5*x) + 306*I*e^(4*x) - 310*e^(3*x) - 198*I*e^(2*x) + 114*e^x + 48*I)/(3*e^(9*x) + 9*I*e^(8*x) - 18*e^(7*x) - 30*I*e^(6*x) + 36*e^(5*x) + 36*I*e^(4*x) - 30*e^(3*x) - 18*I*e^(2*x) + 9*e^x + 3*I)","B",0
56,1,16,0,0.464816," ","integrate(1/(1+I*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{2 i}{d e^{\left(d x + c\right)} - i \, d}"," ",0,"2*I/(d*e^(d*x + c) - I*d)","A",0
57,1,50,0,0.521784," ","integrate(1/(1+I*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{6 \, e^{\left(d x + c\right)} - 2 i}{3 \, d e^{\left(3 \, d x + 3 \, c\right)} - 9 i \, d e^{\left(2 \, d x + 2 \, c\right)} - 9 \, d e^{\left(d x + c\right)} + 3 i \, d}"," ",0,"(6*e^(d*x + c) - 2*I)/(3*d*e^(3*d*x + 3*c) - 9*I*d*e^(2*d*x + 2*c) - 9*d*e^(d*x + c) + 3*I*d)","A",0
58,1,85,0,0.539080," ","integrate(1/(1+I*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{-40 i \, e^{\left(2 \, d x + 2 \, c\right)} - 20 \, e^{\left(d x + c\right)} + 4 i}{15 \, d e^{\left(5 \, d x + 5 \, c\right)} - 75 i \, d e^{\left(4 \, d x + 4 \, c\right)} - 150 \, d e^{\left(3 \, d x + 3 \, c\right)} + 150 i \, d e^{\left(2 \, d x + 2 \, c\right)} + 75 \, d e^{\left(d x + c\right)} - 15 i \, d}"," ",0,"(-40*I*e^(2*d*x + 2*c) - 20*e^(d*x + c) + 4*I)/(15*d*e^(5*d*x + 5*c) - 75*I*d*e^(4*d*x + 4*c) - 150*d*e^(3*d*x + 3*c) + 150*I*d*e^(2*d*x + 2*c) + 75*d*e^(d*x + c) - 15*I*d)","A",0
59,1,121,0,0.493308," ","integrate(1/(1+I*sinh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{140 \, e^{\left(3 \, d x + 3 \, c\right)} - 84 i \, e^{\left(2 \, d x + 2 \, c\right)} - 28 \, e^{\left(d x + c\right)} + 4 i}{35 \, d e^{\left(7 \, d x + 7 \, c\right)} - 245 i \, d e^{\left(6 \, d x + 6 \, c\right)} - 735 \, d e^{\left(5 \, d x + 5 \, c\right)} + 1225 i \, d e^{\left(4 \, d x + 4 \, c\right)} + 1225 \, d e^{\left(3 \, d x + 3 \, c\right)} - 735 i \, d e^{\left(2 \, d x + 2 \, c\right)} - 245 \, d e^{\left(d x + c\right)} + 35 i \, d}"," ",0,"-(140*e^(3*d*x + 3*c) - 84*I*e^(2*d*x + 2*c) - 28*e^(d*x + c) + 4*I)/(35*d*e^(7*d*x + 7*c) - 245*I*d*e^(6*d*x + 6*c) - 735*d*e^(5*d*x + 5*c) + 1225*I*d*e^(4*d*x + 4*c) + 1225*d*e^(3*d*x + 3*c) - 735*I*d*e^(2*d*x + 2*c) - 245*d*e^(d*x + c) + 35*I*d)","A",0
60,1,16,0,0.544039," ","integrate(1/(1-I*sinh(d*x+c)),x, algorithm=""fricas"")","-\frac{2 i}{d e^{\left(d x + c\right)} + i \, d}"," ",0,"-2*I/(d*e^(d*x + c) + I*d)","A",0
61,1,50,0,0.688146," ","integrate(1/(1-I*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{6 \, e^{\left(d x + c\right)} + 2 i}{3 \, d e^{\left(3 \, d x + 3 \, c\right)} + 9 i \, d e^{\left(2 \, d x + 2 \, c\right)} - 9 \, d e^{\left(d x + c\right)} - 3 i \, d}"," ",0,"(6*e^(d*x + c) + 2*I)/(3*d*e^(3*d*x + 3*c) + 9*I*d*e^(2*d*x + 2*c) - 9*d*e^(d*x + c) - 3*I*d)","A",0
62,1,85,0,0.777458," ","integrate(1/(1-I*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{40 i \, e^{\left(2 \, d x + 2 \, c\right)} - 20 \, e^{\left(d x + c\right)} - 4 i}{15 \, d e^{\left(5 \, d x + 5 \, c\right)} + 75 i \, d e^{\left(4 \, d x + 4 \, c\right)} - 150 \, d e^{\left(3 \, d x + 3 \, c\right)} - 150 i \, d e^{\left(2 \, d x + 2 \, c\right)} + 75 \, d e^{\left(d x + c\right)} + 15 i \, d}"," ",0,"(40*I*e^(2*d*x + 2*c) - 20*e^(d*x + c) - 4*I)/(15*d*e^(5*d*x + 5*c) + 75*I*d*e^(4*d*x + 4*c) - 150*d*e^(3*d*x + 3*c) - 150*I*d*e^(2*d*x + 2*c) + 75*d*e^(d*x + c) + 15*I*d)","A",0
63,1,121,0,0.506487," ","integrate(1/(1-I*sinh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{140 \, e^{\left(3 \, d x + 3 \, c\right)} + 84 i \, e^{\left(2 \, d x + 2 \, c\right)} - 28 \, e^{\left(d x + c\right)} - 4 i}{35 \, d e^{\left(7 \, d x + 7 \, c\right)} + 245 i \, d e^{\left(6 \, d x + 6 \, c\right)} - 735 \, d e^{\left(5 \, d x + 5 \, c\right)} - 1225 i \, d e^{\left(4 \, d x + 4 \, c\right)} + 1225 \, d e^{\left(3 \, d x + 3 \, c\right)} + 735 i \, d e^{\left(2 \, d x + 2 \, c\right)} - 245 \, d e^{\left(d x + c\right)} - 35 i \, d}"," ",0,"-(140*e^(3*d*x + 3*c) + 84*I*e^(2*d*x + 2*c) - 28*e^(d*x + c) - 4*I)/(35*d*e^(7*d*x + 7*c) + 245*I*d*e^(6*d*x + 6*c) - 735*d*e^(5*d*x + 5*c) - 1225*I*d*e^(4*d*x + 4*c) + 1225*d*e^(3*d*x + 3*c) + 735*I*d*e^(2*d*x + 2*c) - 245*d*e^(d*x + c) - 35*I*d)","A",0
64,1,76,0,0.623409," ","integrate(sinh(x)/(a+I*a*sinh(x))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{a} \log\left(\frac{1}{2} \, \sqrt{2} \sqrt{a} + \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}}\right) - \sqrt{2} \sqrt{a} \log\left(-\frac{1}{2} \, \sqrt{2} \sqrt{a} + \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}}\right) + 2 \, \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, e^{x} - 1\right)}}{a}"," ",0,"-(sqrt(2)*sqrt(a)*log(1/2*sqrt(2)*sqrt(a) + sqrt(1/2*I*a*e^(-x))) - sqrt(2)*sqrt(a)*log(-1/2*sqrt(2)*sqrt(a) + sqrt(1/2*I*a*e^(-x))) + 2*sqrt(1/2*I*a*e^(-x))*(I*e^x - 1))/a","A",0
65,1,76,0,0.507131," ","integrate(sinh(x)/(a-I*a*sinh(x))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{a} \log\left(\frac{1}{2} \, \sqrt{2} \sqrt{a} + \sqrt{-\frac{1}{2} i \, a e^{\left(-x\right)}}\right) - \sqrt{2} \sqrt{a} \log\left(-\frac{1}{2} \, \sqrt{2} \sqrt{a} + \sqrt{-\frac{1}{2} i \, a e^{\left(-x\right)}}\right) + 2 \, \sqrt{-\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(-i \, e^{x} - 1\right)}}{a}"," ",0,"-(sqrt(2)*sqrt(a)*log(1/2*sqrt(2)*sqrt(a) + sqrt(-1/2*I*a*e^(-x))) - sqrt(2)*sqrt(a)*log(-1/2*sqrt(2)*sqrt(a) + sqrt(-1/2*I*a*e^(-x))) + 2*sqrt(-1/2*I*a*e^(-x))*(-I*e^x - 1))/a","A",0
66,1,101,0,0.849406," ","integrate((a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, a^{2} e^{\left(5 \, d x + 5 \, c\right)} - 25 i \, a^{2} e^{\left(4 \, d x + 4 \, c\right)} - 150 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 150 i \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 25 \, a^{2} e^{\left(d x + c\right)} + 3 i \, a^{2}\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}} e^{\left(-2 \, d x - 2 \, c\right)}}{30 \, d}"," ",0,"-1/30*(3*a^2*e^(5*d*x + 5*c) - 25*I*a^2*e^(4*d*x + 4*c) - 150*a^2*e^(3*d*x + 3*c) - 150*I*a^2*e^(2*d*x + 2*c) - 25*a^2*e^(d*x + c) + 3*I*a^2)*sqrt(1/2*I*a*e^(-d*x - c))*e^(-2*d*x - 2*c)/d","A",0
67,1,63,0,0.539139," ","integrate((a+I*a*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(i \, a e^{\left(3 \, d x + 3 \, c\right)} + 9 \, a e^{\left(2 \, d x + 2 \, c\right)} + 9 i \, a e^{\left(d x + c\right)} + a\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}} e^{\left(-d x - c\right)}}{3 \, d}"," ",0,"1/3*(I*a*e^(3*d*x + 3*c) + 9*a*e^(2*d*x + 2*c) + 9*I*a*e^(d*x + c) + a)*sqrt(1/2*I*a*e^(-d*x - c))*e^(-d*x - c)/d","A",0
68,1,28,0,0.485862," ","integrate((a+I*a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}} {\left(2 \, e^{\left(d x + c\right)} + 2 i\right)}}{d}"," ",0,"sqrt(1/2*I*a*e^(-d*x - c))*(2*e^(d*x + c) + 2*I)/d","A",0
69,1,93,0,0.673131," ","integrate(1/(a+I*a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","i \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left(\frac{1}{2} \, \sqrt{2} a d \sqrt{\frac{1}{a d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right) - i \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left(-\frac{1}{2} \, \sqrt{2} a d \sqrt{\frac{1}{a d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right)"," ",0,"I*sqrt(2)*sqrt(1/(a*d^2))*log(1/2*sqrt(2)*a*d*sqrt(1/(a*d^2)) + sqrt(1/2*I*a*e^(-d*x - c))) - I*sqrt(2)*sqrt(1/(a*d^2))*log(-1/2*sqrt(2)*a*d*sqrt(1/(a*d^2)) + sqrt(1/2*I*a*e^(-d*x - c)))","B",0
70,1,234,0,0.624312," ","integrate(1/(a+I*a*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(i \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} d e^{\left(d x + c\right)} - i \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(\sqrt{\frac{1}{2}} a^{2} d \sqrt{\frac{1}{a^{3} d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right) + \sqrt{\frac{1}{2}} {\left(-i \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{2} d e^{\left(d x + c\right)} + i \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(-\sqrt{\frac{1}{2}} a^{2} d \sqrt{\frac{1}{a^{3} d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right) + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}} {\left(-2 i \, e^{\left(2 \, d x + 2 \, c\right)} + 2 \, e^{\left(d x + c\right)}\right)}}{2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - 4 i \, a^{2} d e^{\left(d x + c\right)} - 2 \, a^{2} d}"," ",0,"(sqrt(1/2)*(I*a^2*d*e^(2*d*x + 2*c) + 2*a^2*d*e^(d*x + c) - I*a^2*d)*sqrt(1/(a^3*d^2))*log(sqrt(1/2)*a^2*d*sqrt(1/(a^3*d^2)) + sqrt(1/2*I*a*e^(-d*x - c))) + sqrt(1/2)*(-I*a^2*d*e^(2*d*x + 2*c) - 2*a^2*d*e^(d*x + c) + I*a^2*d)*sqrt(1/(a^3*d^2))*log(-sqrt(1/2)*a^2*d*sqrt(1/(a^3*d^2)) + sqrt(1/2*I*a*e^(-d*x - c))) + sqrt(1/2*I*a*e^(-d*x - c))*(-2*I*e^(2*d*x + 2*c) + 2*e^(d*x + c)))/(2*a^2*d*e^(2*d*x + 2*c) - 4*I*a^2*d*e^(d*x + c) - 2*a^2*d)","B",0
71,1,348,0,0.530494," ","integrate(1/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(12 i \, a^{3} d e^{\left(4 \, d x + 4 \, c\right)} + 48 \, a^{3} d e^{\left(3 \, d x + 3 \, c\right)} - 72 i \, a^{3} d e^{\left(2 \, d x + 2 \, c\right)} - 48 \, a^{3} d e^{\left(d x + c\right)} + 12 i \, a^{3} d\right)} \sqrt{\frac{1}{a^{5} d^{2}}} \log\left(\sqrt{\frac{1}{2}} a^{3} d \sqrt{\frac{1}{a^{5} d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right) + \sqrt{\frac{1}{2}} {\left(-12 i \, a^{3} d e^{\left(4 \, d x + 4 \, c\right)} - 48 \, a^{3} d e^{\left(3 \, d x + 3 \, c\right)} + 72 i \, a^{3} d e^{\left(2 \, d x + 2 \, c\right)} + 48 \, a^{3} d e^{\left(d x + c\right)} - 12 i \, a^{3} d\right)} \sqrt{\frac{1}{a^{5} d^{2}}} \log\left(-\sqrt{\frac{1}{2}} a^{3} d \sqrt{\frac{1}{a^{5} d^{2}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}}\right) + 8 \, \sqrt{\frac{1}{2} i \, a e^{\left(-d x - c\right)}} {\left(-3 i \, e^{\left(4 \, d x + 4 \, c\right)} - 11 \, e^{\left(3 \, d x + 3 \, c\right)} - 11 i \, e^{\left(2 \, d x + 2 \, c\right)} - 3 \, e^{\left(d x + c\right)}\right)}}{8 \, {\left(8 \, a^{3} d e^{\left(4 \, d x + 4 \, c\right)} - 32 i \, a^{3} d e^{\left(3 \, d x + 3 \, c\right)} - 48 \, a^{3} d e^{\left(2 \, d x + 2 \, c\right)} + 32 i \, a^{3} d e^{\left(d x + c\right)} + 8 \, a^{3} d\right)}}"," ",0,"1/8*(sqrt(1/2)*(12*I*a^3*d*e^(4*d*x + 4*c) + 48*a^3*d*e^(3*d*x + 3*c) - 72*I*a^3*d*e^(2*d*x + 2*c) - 48*a^3*d*e^(d*x + c) + 12*I*a^3*d)*sqrt(1/(a^5*d^2))*log(sqrt(1/2)*a^3*d*sqrt(1/(a^5*d^2)) + sqrt(1/2*I*a*e^(-d*x - c))) + sqrt(1/2)*(-12*I*a^3*d*e^(4*d*x + 4*c) - 48*a^3*d*e^(3*d*x + 3*c) + 72*I*a^3*d*e^(2*d*x + 2*c) + 48*a^3*d*e^(d*x + c) - 12*I*a^3*d)*sqrt(1/(a^5*d^2))*log(-sqrt(1/2)*a^3*d*sqrt(1/(a^5*d^2)) + sqrt(1/2*I*a*e^(-d*x - c))) + 8*sqrt(1/2*I*a*e^(-d*x - c))*(-3*I*e^(4*d*x + 4*c) - 11*e^(3*d*x + 3*c) - 11*I*e^(2*d*x + 2*c) - 3*e^(d*x + c)))/(8*a^3*d*e^(4*d*x + 4*c) - 32*I*a^3*d*e^(3*d*x + 3*c) - 48*a^3*d*e^(2*d*x + 2*c) + 32*I*a^3*d*e^(d*x + c) + 8*a^3*d)","B",0
72,1,799,0,0.856901," ","integrate(sinh(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + {\left(a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{5} - 3 \, {\left(a^{3} b^{2} + a b^{4} - 2 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{2} b^{3} + b^{5} - 12 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(10 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} x + 6 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right) + 6 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left(a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{4} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 3 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) + 3 \, {\left(2 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + a^{3} b^{2} + a b^{4} - 5 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, a^{4} b + a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*((a^2*b^3 + b^5)*cosh(x)^6 + (a^2*b^3 + b^5)*sinh(x)^6 - 3*(a^3*b^2 + a*b^4)*cosh(x)^5 - 3*(a^3*b^2 + a*b^4 - 2*(a^2*b^3 + b^5)*cosh(x))*sinh(x)^5 + a^2*b^3 + b^5 - 12*(2*a^5 + a^3*b^2 - a*b^4)*x*cosh(x)^3 + 3*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x)^4 + 3*(4*a^4*b + a^2*b^3 - 3*b^5 + 5*(a^2*b^3 + b^5)*cosh(x)^2 - 5*(a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^4 + 2*(10*(a^2*b^3 + b^5)*cosh(x)^3 - 15*(a^3*b^2 + a*b^4)*cosh(x)^2 - 6*(2*a^5 + a^3*b^2 - a*b^4)*x + 6*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^3 + 3*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x)^2 + 3*(4*a^4*b + a^2*b^3 - 3*b^5 + 5*(a^2*b^3 + b^5)*cosh(x)^4 - 10*(a^3*b^2 + a*b^4)*cosh(x)^3 - 12*(2*a^5 + a^3*b^2 - a*b^4)*x*cosh(x) + 6*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^2 + 24*(a^4*cosh(x)^3 + 3*a^4*cosh(x)^2*sinh(x) + 3*a^4*cosh(x)*sinh(x)^2 + a^4*sinh(x)^3)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 3*(a^3*b^2 + a*b^4)*cosh(x) + 3*(2*(a^2*b^3 + b^5)*cosh(x)^5 + a^3*b^2 + a*b^4 - 5*(a^3*b^2 + a*b^4)*cosh(x)^4 - 12*(2*a^5 + a^3*b^2 - a*b^4)*x*cosh(x)^2 + 4*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x)^3 + 2*(4*a^4*b + a^2*b^3 - 3*b^5)*cosh(x))*sinh(x))/((a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^2*b^4 + b^6)*cosh(x)^2*sinh(x) + 3*(a^2*b^4 + b^6)*cosh(x)*sinh(x)^2 + (a^2*b^4 + b^6)*sinh(x)^3)","B",0
73,1,459,0,0.500865," ","integrate(sinh(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} - a^{2} b^{2} - b^{4} + 4 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{3} b + a b^{3} - {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} x - 6 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{3} \cosh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) \sinh\left(x\right) + a^{3} \sinh\left(x\right)^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) - 4 \, {\left(a^{3} b + a b^{3} - {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} x \cosh\left(x\right) + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*((a^2*b^2 + b^4)*cosh(x)^4 + (a^2*b^2 + b^4)*sinh(x)^4 - a^2*b^2 - b^4 + 4*(2*a^4 + a^2*b^2 - b^4)*x*cosh(x)^2 - 4*(a^3*b + a*b^3)*cosh(x)^3 - 4*(a^3*b + a*b^3 - (a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 2*(3*(a^2*b^2 + b^4)*cosh(x)^2 + 2*(2*a^4 + a^2*b^2 - b^4)*x - 6*(a^3*b + a*b^3)*cosh(x))*sinh(x)^2 + 8*(a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 4*(a^3*b + a*b^3)*cosh(x) - 4*(a^3*b + a*b^3 - (a^2*b^2 + b^4)*cosh(x)^3 - 2*(2*a^4 + a^2*b^2 - b^4)*x*cosh(x) + 3*(a^3*b + a*b^3)*cosh(x)^2)*sinh(x))/((a^2*b^3 + b^5)*cosh(x)^2 + 2*(a^2*b^3 + b^5)*cosh(x)*sinh(x) + (a^2*b^3 + b^5)*sinh(x)^2)","B",0
74,1,238,0,0.583058," ","integrate(sinh(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{a^{2} b + b^{3} - 2 \, {\left(a^{3} + a b^{2}\right)} x \cosh\left(x\right) + {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a^{2} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left({\left(a^{3} + a b^{2}\right)} x - {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(a^2*b + b^3 - 2*(a^3 + a*b^2)*x*cosh(x) + (a^2*b + b^3)*cosh(x)^2 + (a^2*b + b^3)*sinh(x)^2 + 2*(a^2*cosh(x) + a^2*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*((a^3 + a*b^2)*x - (a^2*b + b^3)*cosh(x))*sinh(x))/((a^2*b^2 + b^4)*cosh(x) + (a^2*b^2 + b^4)*sinh(x))","B",0
75,1,134,0,0.527930," ","integrate(sinh(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} a \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + {\left(a^{2} + b^{2}\right)} x}{a^{2} b + b^{3}}"," ",0,"(sqrt(a^2 + b^2)*a*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + (a^2 + b^2)*x)/(a^2*b + b^3)","B",0
76,1,156,0,0.534904," ","integrate(csch(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} b \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(a^{2} + b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a^{2} + b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{3} + a b^{2}}"," ",0,"(sqrt(a^2 + b^2)*b*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (a^2 + b^2)*log(cosh(x) + sinh(x) + 1) + (a^2 + b^2)*log(cosh(x) + sinh(x) - 1))/(a^3 + a*b^2)","B",0
77,1,345,0,1.503423," ","integrate(csch(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, a^{3} + 2 \, a b^{2} - {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} - b^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + {\left(a^{2} b + b^{3} - {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a^{2} b + b^{3} - {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{4} + a^{2} b^{2} - {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)^{2}}"," ",0,"(2*a^3 + 2*a*b^2 - (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 - b^2)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + (a^2*b + b^3 - (a^2*b + b^3)*cosh(x)^2 - 2*(a^2*b + b^3)*cosh(x)*sinh(x) - (a^2*b + b^3)*sinh(x)^2)*log(cosh(x) + sinh(x) + 1) - (a^2*b + b^3 - (a^2*b + b^3)*cosh(x)^2 - 2*(a^2*b + b^3)*cosh(x)*sinh(x) - (a^2*b + b^3)*sinh(x)^2)*log(cosh(x) + sinh(x) - 1))/(a^4 + a^2*b^2 - (a^4 + a^2*b^2)*cosh(x)^2 - 2*(a^4 + a^2*b^2)*cosh(x)*sinh(x) - (a^4 + a^2*b^2)*sinh(x)^2)","B",0
78,1,929,0,1.059968," ","integrate(csch(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{4 \, a^{3} b + 4 \, a b^{3} + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} b + 2 \, a b^{3} - 3 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} - 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} - b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} - b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right) - {\left({\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - a^{2} b^{2} - 2 \, b^{4} - 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4} - 3 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - a^{2} b^{2} - 2 \, b^{4} - 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4} - 3 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(a^{4} + a^{2} b^{2} + 3 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{5} + a^{3} b^{2} + {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + a^{3} b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} + a^{3} b^{2} - 3 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(4*a^3*b + 4*a*b^3 + 2*(a^4 + a^2*b^2)*cosh(x)^3 + 2*(a^4 + a^2*b^2)*sinh(x)^3 - 4*(a^3*b + a*b^3)*cosh(x)^2 - 2*(2*a^3*b + 2*a*b^3 - 3*(a^4 + a^2*b^2)*cosh(x))*sinh(x)^2 - 2*(b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 - 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 - b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 - b^3*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 2*(a^4 + a^2*b^2)*cosh(x) - ((a^4 - a^2*b^2 - 2*b^4)*cosh(x)^4 + 4*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)*sinh(x)^3 + (a^4 - a^2*b^2 - 2*b^4)*sinh(x)^4 + a^4 - a^2*b^2 - 2*b^4 - 2*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)^2 - 2*(a^4 - a^2*b^2 - 2*b^4 - 3*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - a^2*b^2 - 2*b^4)*cosh(x)^3 - (a^4 - a^2*b^2 - 2*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((a^4 - a^2*b^2 - 2*b^4)*cosh(x)^4 + 4*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)*sinh(x)^3 + (a^4 - a^2*b^2 - 2*b^4)*sinh(x)^4 + a^4 - a^2*b^2 - 2*b^4 - 2*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)^2 - 2*(a^4 - a^2*b^2 - 2*b^4 - 3*(a^4 - a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - a^2*b^2 - 2*b^4)*cosh(x)^3 - (a^4 - a^2*b^2 - 2*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(a^4 + a^2*b^2 + 3*(a^4 + a^2*b^2)*cosh(x)^2 - 4*(a^3*b + a*b^3)*cosh(x))*sinh(x))/(a^5 + a^3*b^2 + (a^5 + a^3*b^2)*cosh(x)^4 + 4*(a^5 + a^3*b^2)*cosh(x)*sinh(x)^3 + (a^5 + a^3*b^2)*sinh(x)^4 - 2*(a^5 + a^3*b^2)*cosh(x)^2 - 2*(a^5 + a^3*b^2 - 3*(a^5 + a^3*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 + a^3*b^2)*cosh(x)^3 - (a^5 + a^3*b^2)*cosh(x))*sinh(x))","B",0
79,1,1676,0,0.561592," ","integrate(csch(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} - 4 \, a^{3} b^{2} - 12 \, a b^{4} - 12 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(2 \, a^{3} b^{2} + 2 \, a b^{4} - 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 12 \, {\left(5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 24 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(2 \, a^{5} - 2 \, a b^{4} - 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} - 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} - b^{4}\right)} \sinh\left(x\right)^{4} - b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} - 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} - 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} - 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right) - 3 \, {\left({\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \sinh\left(x\right)^{6} - a^{4} b + a^{2} b^{3} + 2 \, b^{5} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5} - 5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left({\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \sinh\left(x\right)^{6} - a^{4} b + a^{2} b^{3} + 2 \, b^{5} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5} - 5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5} + 5 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 6 \, {\left(a^{4} b + a^{2} b^{3} - 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 8 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left({\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} + a^{4} b^{2}\right)} \sinh\left(x\right)^{6} - a^{6} - a^{4} b^{2} - 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} + a^{4} b^{2} - 5 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + a^{4} b^{2} + 5 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/6*(6*(a^4*b + a^2*b^3)*cosh(x)^5 + 6*(a^4*b + a^2*b^3)*sinh(x)^5 + 8*a^5 - 4*a^3*b^2 - 12*a*b^4 - 12*(a^3*b^2 + a*b^4)*cosh(x)^4 - 6*(2*a^3*b^2 + 2*a*b^4 - 5*(a^4*b + a^2*b^3)*cosh(x))*sinh(x)^4 + 12*(5*(a^4*b + a^2*b^3)*cosh(x)^2 - 4*(a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 - 24*(a^5 - a*b^4)*cosh(x)^2 - 12*(2*a^5 - 2*a*b^4 - 5*(a^4*b + a^2*b^3)*cosh(x)^3 + 6*(a^3*b^2 + a*b^4)*cosh(x)^2)*sinh(x)^2 + 6*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 - 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 - b^4)*sinh(x)^4 - b^4 + 4*(5*b^4*cosh(x)^3 - 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 - 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 - 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 6*(a^4*b + a^2*b^3)*cosh(x) - 3*((a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^6 + 6*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)*sinh(x)^5 + (a^4*b - a^2*b^3 - 2*b^5)*sinh(x)^6 - a^4*b + a^2*b^3 + 2*b^5 - 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^4 - 3*(a^4*b - a^2*b^3 - 2*b^5 - 5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^3 - 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x))*sinh(x)^3 + 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2 + 3*(a^4*b - a^2*b^3 - 2*b^5 + 5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^4 - 6*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^5 - 2*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^3 + (a^4*b - a^2*b^3 - 2*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 3*((a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^6 + 6*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)*sinh(x)^5 + (a^4*b - a^2*b^3 - 2*b^5)*sinh(x)^6 - a^4*b + a^2*b^3 + 2*b^5 - 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^4 - 3*(a^4*b - a^2*b^3 - 2*b^5 - 5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^3 - 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x))*sinh(x)^3 + 3*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2 + 3*(a^4*b - a^2*b^3 - 2*b^5 + 5*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^4 - 6*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^5 - 2*(a^4*b - a^2*b^3 - 2*b^5)*cosh(x)^3 + (a^4*b - a^2*b^3 - 2*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 6*(a^4*b + a^2*b^3 - 5*(a^4*b + a^2*b^3)*cosh(x)^4 + 8*(a^3*b^2 + a*b^4)*cosh(x)^3 + 8*(a^5 - a*b^4)*cosh(x))*sinh(x))/((a^6 + a^4*b^2)*cosh(x)^6 + 6*(a^6 + a^4*b^2)*cosh(x)*sinh(x)^5 + (a^6 + a^4*b^2)*sinh(x)^6 - a^6 - a^4*b^2 - 3*(a^6 + a^4*b^2)*cosh(x)^4 - 3*(a^6 + a^4*b^2 - 5*(a^6 + a^4*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 + a^4*b^2)*cosh(x)^3 - 3*(a^6 + a^4*b^2)*cosh(x))*sinh(x)^3 + 3*(a^6 + a^4*b^2)*cosh(x)^2 + 3*(a^6 + a^4*b^2 + 5*(a^6 + a^4*b^2)*cosh(x)^4 - 6*(a^6 + a^4*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 + a^4*b^2)*cosh(x)^5 - 2*(a^6 + a^4*b^2)*cosh(x)^3 + (a^6 + a^4*b^2)*cosh(x))*sinh(x))","B",0
80,1,1769,0,0.679529," ","integrate(sinh(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6} - {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - {\left(16 \, a^{6} b + 33 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{4} - {\left(16 \, a^{6} b + 33 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 15 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x + 30 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 8 \, {\left(2 \, a^{7} + 2 \, a^{5} b^{2} + {\left(6 \, a^{7} + 11 \, a^{5} b^{2} + 4 \, a^{3} b^{4} - a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, a^{7} + 4 \, a^{5} b^{2} + 5 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(6 \, a^{7} + 11 \, a^{5} b^{2} + 4 \, a^{3} b^{4} - a b^{6}\right)} x - {\left(16 \, a^{6} b + 33 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(32 \, a^{6} b + 49 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} + 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{2} - {\left(32 \, a^{6} b + 49 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 15 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} + 60 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(16 \, a^{6} b + 33 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{2} + 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x - 24 \, {\left(2 \, a^{7} + 2 \, a^{5} b^{2} + {\left(6 \, a^{7} + 11 \, a^{5} b^{2} + 4 \, a^{3} b^{4} - a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} + 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{6} + 4 \, a^{4} b^{2} + 2 \, {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{5} b + 4 \, a^{3} b^{3} - 6 \, {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(3 \, a^{6} + 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{6} + 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{5} b + 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, a^{5} b^{2} + 6 \, a^{3} b^{4} + 3 \, a b^{6} + 3 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(16 \, a^{6} b + 33 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} - 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{3} + 12 \, {\left(2 \, a^{7} + 2 \, a^{5} b^{2} + {\left(6 \, a^{7} + 11 \, a^{5} b^{2} + 4 \, a^{3} b^{4} - a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} - {\left(32 \, a^{6} b + 49 \, a^{4} b^{3} + 18 \, a^{2} b^{5} + b^{7} + 4 \, {\left(6 \, a^{6} b + 11 \, a^{4} b^{3} + 4 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} b^{4} + 2 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{5} b^{4} + 2 \, a^{3} b^{6} + a b^{8} + 2 \, {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9} - 6 \, {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{5} b^{4} + 2 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b^{4} + 2 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*(a^4*b^3 + 2*a^2*b^5 + b^7 + (a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*sinh(x)^6 - 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x)^5 - 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6 - (a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x))*sinh(x)^5 - (16*a^6*b + 33*a^4*b^3 + 18*a^2*b^5 + b^7 - 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x)^4 - (16*a^6*b + 33*a^4*b^3 + 18*a^2*b^5 + b^7 - 15*(a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^2 - 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x + 30*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^4 + 8*(2*a^7 + 2*a^5*b^2 + (6*a^7 + 11*a^5*b^2 + 4*a^3*b^4 - a*b^6)*x)*cosh(x)^3 + 4*(4*a^7 + 4*a^5*b^2 + 5*(a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^3 - 15*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x)^2 + 2*(6*a^7 + 11*a^5*b^2 + 4*a^3*b^4 - a*b^6)*x - (16*a^6*b + 33*a^4*b^3 + 18*a^2*b^5 + b^7 - 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x))*sinh(x)^3 - (32*a^6*b + 49*a^4*b^3 + 18*a^2*b^5 + b^7 + 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x)^2 - (32*a^6*b + 49*a^4*b^3 + 18*a^2*b^5 + b^7 - 15*(a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^4 + 60*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x)^3 + 6*(16*a^6*b + 33*a^4*b^3 + 18*a^2*b^5 + b^7 - 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x)^2 + 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x - 24*(2*a^7 + 2*a^5*b^2 + (6*a^7 + 11*a^5*b^2 + 4*a^3*b^4 - a*b^6)*x)*cosh(x))*sinh(x)^2 + 8*((3*a^5*b + 4*a^3*b^3)*cosh(x)^4 + (3*a^5*b + 4*a^3*b^3)*sinh(x)^4 + 2*(3*a^6 + 4*a^4*b^2)*cosh(x)^3 + 2*(3*a^6 + 4*a^4*b^2 + 2*(3*a^5*b + 4*a^3*b^3)*cosh(x))*sinh(x)^3 - (3*a^5*b + 4*a^3*b^3)*cosh(x)^2 - (3*a^5*b + 4*a^3*b^3 - 6*(3*a^5*b + 4*a^3*b^3)*cosh(x)^2 - 6*(3*a^6 + 4*a^4*b^2)*cosh(x))*sinh(x)^2 + 2*(2*(3*a^5*b + 4*a^3*b^3)*cosh(x)^3 + 3*(3*a^6 + 4*a^4*b^2)*cosh(x)^2 - (3*a^5*b + 4*a^3*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x) + 2*(3*a^5*b^2 + 6*a^3*b^4 + 3*a*b^6 + 3*(a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^5 - 15*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x)^4 - 2*(16*a^6*b + 33*a^4*b^3 + 18*a^2*b^5 + b^7 - 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x)^3 + 12*(2*a^7 + 2*a^5*b^2 + (6*a^7 + 11*a^5*b^2 + 4*a^3*b^4 - a*b^6)*x)*cosh(x)^2 - (32*a^6*b + 49*a^4*b^3 + 18*a^2*b^5 + b^7 + 4*(6*a^6*b + 11*a^4*b^3 + 4*a^2*b^5 - b^7)*x)*cosh(x))*sinh(x))/((a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x)^4 + (a^4*b^5 + 2*a^2*b^7 + b^9)*sinh(x)^4 + 2*(a^5*b^4 + 2*a^3*b^6 + a*b^8)*cosh(x)^3 + 2*(a^5*b^4 + 2*a^3*b^6 + a*b^8 + 2*(a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x))*sinh(x)^3 - (a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x)^2 - (a^4*b^5 + 2*a^2*b^7 + b^9 - 6*(a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x)^2 - 6*(a^5*b^4 + 2*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^2 + 2*(2*(a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x)^3 + 3*(a^5*b^4 + 2*a^3*b^6 + a*b^8)*cosh(x)^2 - (a^4*b^5 + 2*a^2*b^7 + b^9)*cosh(x))*sinh(x))","B",0
81,1,1053,0,0.779613," ","integrate(sinh(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{6} + a^{4} b^{2} + 2 \, {\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{6} + 2 \, a^{4} b^{2} - 3 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} x - 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left({\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + {\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + {\left(4 \, a^{5} + 6 \, a^{3} b^{2} + 3 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right) - {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} - 3 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(3 \, a^{5} b + 4 \, a^{3} b^{3} + a b^{5} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x\right)} \cosh\left(x\right) - 2 \, {\left(3 \, a^{5} b + 4 \, a^{3} b^{3} + a b^{5} + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} x - 4 \, {\left(a^{6} + a^{4} b^{2} + 2 \, {\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{5} b^{3} + 2 \, a^{3} b^{5} + a b^{7}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{5} b^{3} + 4 \, a^{3} b^{5} + 2 \, a b^{7} + 3 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right) - {\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8} - 3 \, {\left(a^{4} b^{4} + 2 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} b^{3} + 2 \, a^{3} b^{5} + a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(a^4*b^2 + 2*a^2*b^4 + b^6 - (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^4 - (a^4*b^2 + 2*a^2*b^4 + b^6)*sinh(x)^4 - 2*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x)*cosh(x)^3 - 2*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 4*(a^6 + a^4*b^2 + 2*(a^6 + 2*a^4*b^2 + a^2*b^4)*x)*cosh(x)^2 + 2*(2*a^6 + 2*a^4*b^2 - 3*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 + 4*(a^6 + 2*a^4*b^2 + a^2*b^4)*x - 3*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x)*cosh(x))*sinh(x)^2 - 2*((2*a^4*b + 3*a^2*b^3)*cosh(x)^3 + (2*a^4*b + 3*a^2*b^3)*sinh(x)^3 + 2*(2*a^5 + 3*a^3*b^2)*cosh(x)^2 + (4*a^5 + 6*a^3*b^2 + 3*(2*a^4*b + 3*a^2*b^3)*cosh(x))*sinh(x)^2 - (2*a^4*b + 3*a^2*b^3)*cosh(x) - (2*a^4*b + 3*a^2*b^3 - 3*(2*a^4*b + 3*a^2*b^3)*cosh(x)^2 - 4*(2*a^5 + 3*a^3*b^2)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(3*a^5*b + 4*a^3*b^3 + a*b^5 + 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x)*cosh(x) - 2*(3*a^5*b + 4*a^3*b^3 + a*b^5 + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x)*cosh(x)^2 + 2*(a^5*b + 2*a^3*b^3 + a*b^5)*x - 4*(a^6 + a^4*b^2 + 2*(a^6 + 2*a^4*b^2 + a^2*b^4)*x)*cosh(x))*sinh(x))/((a^4*b^4 + 2*a^2*b^6 + b^8)*cosh(x)^3 + (a^4*b^4 + 2*a^2*b^6 + b^8)*sinh(x)^3 + 2*(a^5*b^3 + 2*a^3*b^5 + a*b^7)*cosh(x)^2 + (2*a^5*b^3 + 4*a^3*b^5 + 2*a*b^7 + 3*(a^4*b^4 + 2*a^2*b^6 + b^8)*cosh(x))*sinh(x)^2 - (a^4*b^4 + 2*a^2*b^6 + b^8)*cosh(x) - (a^4*b^4 + 2*a^2*b^6 + b^8 - 3*(a^4*b^4 + 2*a^2*b^6 + b^8)*cosh(x)^2 - 4*(a^5*b^3 + 2*a^3*b^5 + a*b^7)*cosh(x))*sinh(x))","B",0
82,1,521,0,0.629939," ","integrate(sinh(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, a^{4} b + 2 \, a^{2} b^{3} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right)^{2} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \sinh\left(x\right)^{2} + {\left(a^{3} b + 2 \, a b^{3} - {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{3} b + 2 \, a b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x - 2 \, {\left(a^{5} + a^{3} b^{2} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} x\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} + a^{3} b^{2} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} x\right)} \sinh\left(x\right)}{a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7} - {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(2*a^4*b + 2*a^2*b^3 - (a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x)^2 - (a^4*b + 2*a^2*b^3 + b^5)*x*sinh(x)^2 + (a^3*b + 2*a*b^3 - (a^3*b + 2*a*b^3)*cosh(x)^2 - (a^3*b + 2*a*b^3)*sinh(x)^2 - 2*(a^4 + 2*a^2*b^2)*cosh(x) - 2*(a^4 + 2*a^2*b^2 + (a^3*b + 2*a*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + (a^4*b + 2*a^2*b^3 + b^5)*x - 2*(a^5 + a^3*b^2 + (a^5 + 2*a^3*b^2 + a*b^4)*x)*cosh(x) - 2*(a^5 + a^3*b^2 + (a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x) + (a^5 + 2*a^3*b^2 + a*b^4)*x)*sinh(x))/(a^4*b^3 + 2*a^2*b^5 + b^7 - (a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x)^2 - (a^4*b^3 + 2*a^2*b^5 + b^7)*sinh(x)^2 - 2*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*cosh(x) - 2*(a^5*b^2 + 2*a^3*b^4 + a*b^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*cosh(x))*sinh(x))","B",0
83,1,341,0,0.553420," ","integrate(sinh(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, a^{3} b + 2 \, a b^{3} + {\left(b^{3} \cosh\left(x\right)^{2} + b^{3} \sinh\left(x\right)^{2} + 2 \, a b^{2} \cosh\left(x\right) - b^{3} + 2 \, {\left(b^{3} \cosh\left(x\right) + a b^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*a^3*b + 2*a*b^3 + (b^3*cosh(x)^2 + b^3*sinh(x)^2 + 2*a*b^2*cosh(x) - b^3 + 2*(b^3*cosh(x) + a*b^2)*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(a^4 + a^2*b^2)*cosh(x) - 2*(a^4 + a^2*b^2)*sinh(x))/(a^4*b^2 + 2*a^2*b^4 + b^6 - (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - (a^4*b^2 + 2*a^2*b^4 + b^6)*sinh(x)^2 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x) - 2*(a^5*b + 2*a^3*b^3 + a*b^5 + (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
84,1,672,0,0.716382," ","integrate(csch(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, a^{3} b^{2} + 2 \, a b^{4} - {\left(2 \, a^{2} b^{2} + b^{4} - {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(2 \, a^{3} b + a b^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right) + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, {\left(a^{4} b + a^{2} b^{3}\right)} \sinh\left(x\right)}{a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5} - {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4} + {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*a^3*b^2 + 2*a*b^4 - (2*a^2*b^2 + b^4 - (2*a^2*b^2 + b^4)*cosh(x)^2 - (2*a^2*b^2 + b^4)*sinh(x)^2 - 2*(2*a^3*b + a*b^3)*cosh(x) - 2*(2*a^3*b + a*b^3 + (2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(a^4*b + a^2*b^3)*cosh(x) + (a^4*b + 2*a^2*b^3 + b^5 - (a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 - (a^4*b + 2*a^2*b^3 + b^5)*sinh(x)^2 - 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x) - 2*(a^5 + 2*a^3*b^2 + a*b^4 + (a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - (a^4*b + 2*a^2*b^3 + b^5 - (a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 - (a^4*b + 2*a^2*b^3 + b^5)*sinh(x)^2 - 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x) - 2*(a^5 + 2*a^3*b^2 + a*b^4 + (a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 2*(a^4*b + a^2*b^3)*sinh(x))/(a^6*b + 2*a^4*b^3 + a^2*b^5 - (a^6*b + 2*a^4*b^3 + a^2*b^5)*cosh(x)^2 - (a^6*b + 2*a^4*b^3 + a^2*b^5)*sinh(x)^2 - 2*(a^7 + 2*a^5*b^2 + a^3*b^4)*cosh(x) - 2*(a^7 + 2*a^5*b^2 + a^3*b^4 + (a^6*b + 2*a^4*b^3 + a^2*b^5)*cosh(x))*sinh(x))","B",0
85,1,1740,0,0.806832," ","integrate(csch(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, a^{5} b + 6 \, a^{3} b^{3} + 4 \, a b^{5} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5} - 3 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(3 \, a^{2} b^{3} + 2 \, b^{5} + {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4} + 2 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5} - 3 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4} - 2 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right) + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 3 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 3 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5} + {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)^{4} + {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4} + 2 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5} - 3 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4} - 2 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(2*a^5*b + 6*a^3*b^3 + 4*a*b^5 + 2*(a^4*b^2 + a^2*b^4)*cosh(x)^3 + 2*(a^4*b^2 + a^2*b^4)*sinh(x)^3 - 2*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x)^2 - 2*(a^5*b + 3*a^3*b^3 + 2*a*b^5 - 3*(a^4*b^2 + a^2*b^4)*cosh(x))*sinh(x)^2 + (3*a^2*b^3 + 2*b^5 + (3*a^2*b^3 + 2*b^5)*cosh(x)^4 + (3*a^2*b^3 + 2*b^5)*sinh(x)^4 + 2*(3*a^3*b^2 + 2*a*b^4)*cosh(x)^3 + 2*(3*a^3*b^2 + 2*a*b^4 + 2*(3*a^2*b^3 + 2*b^5)*cosh(x))*sinh(x)^3 - 2*(3*a^2*b^3 + 2*b^5)*cosh(x)^2 - 2*(3*a^2*b^3 + 2*b^5 - 3*(3*a^2*b^3 + 2*b^5)*cosh(x)^2 - 3*(3*a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x)^2 - 2*(3*a^3*b^2 + 2*a*b^4)*cosh(x) - 2*(3*a^3*b^2 + 2*a*b^4 - 2*(3*a^2*b^3 + 2*b^5)*cosh(x)^3 - 3*(3*a^3*b^2 + 2*a*b^4)*cosh(x)^2 + 2*(3*a^2*b^3 + 2*b^5)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4)*cosh(x) + 2*(a^4*b^2 + 2*a^2*b^4 + b^6 + (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^4 + (a^4*b^2 + 2*a^2*b^4 + b^6)*sinh(x)^4 + 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x)^3 + 2*(a^5*b + 2*a^3*b^3 + a*b^5 + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6 - 3*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - 3*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x))*sinh(x)^2 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x) - 2*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^3 - 3*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x)^2 + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - 2*(a^4*b^2 + 2*a^2*b^4 + b^6 + (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^4 + (a^4*b^2 + 2*a^2*b^4 + b^6)*sinh(x)^4 + 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x)^3 + 2*(a^5*b + 2*a^3*b^3 + a*b^5 + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6 - 3*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - 3*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x))*sinh(x)^2 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x) - 2*(a^5*b + 2*a^3*b^3 + a*b^5 - 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^3 - 3*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x)^2 + 2*(a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 2*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 3*(a^4*b^2 + a^2*b^4)*cosh(x)^2 + 2*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x))*sinh(x))/(a^7*b + 2*a^5*b^3 + a^3*b^5 + (a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x)^4 + (a^7*b + 2*a^5*b^3 + a^3*b^5)*sinh(x)^4 + 2*(a^8 + 2*a^6*b^2 + a^4*b^4)*cosh(x)^3 + 2*(a^8 + 2*a^6*b^2 + a^4*b^4 + 2*(a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x))*sinh(x)^3 - 2*(a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x)^2 - 2*(a^7*b + 2*a^5*b^3 + a^3*b^5 - 3*(a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x)^2 - 3*(a^8 + 2*a^6*b^2 + a^4*b^4)*cosh(x))*sinh(x)^2 - 2*(a^8 + 2*a^6*b^2 + a^4*b^4)*cosh(x) - 2*(a^8 + 2*a^6*b^2 + a^4*b^4 - 2*(a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x)^3 - 3*(a^8 + 2*a^6*b^2 + a^4*b^4)*cosh(x)^2 + 2*(a^7*b + 2*a^5*b^3 + a^3*b^5)*cosh(x))*sinh(x))","B",0
86,1,3754,0,1.096920," ","integrate(csch(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{8 \, a^{5} b^{2} + 20 \, a^{3} b^{4} + 12 \, a b^{6} - 2 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \sinh\left(x\right)^{5} - 4 \, {\left(a^{7} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(2 \, a^{7} - 8 \, a^{3} b^{4} - 6 \, a b^{6} + 5 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 8 \, {\left(2 \, a^{6} b + 5 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, a^{6} b + 10 \, a^{4} b^{3} + 6 \, a^{2} b^{5} - 5 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{7} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{7} + 6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 6 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{7} + 6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 6 \, a b^{6} + 5 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{7} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{6} b + 5 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left({\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{6} + {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \sinh\left(x\right)^{6} - 4 \, a^{2} b^{4} - 3 \, b^{6} + 2 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5} + 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{4} - {\left(12 \, a^{2} b^{4} + 9 \, b^{6} - 15 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5} - 5 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{3} - 5 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{2} + {\left(12 \, a^{2} b^{4} + 9 \, b^{6} + 15 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5} + 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{2} b^{4} + 3 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(7 \, a^{6} b + 16 \, a^{4} b^{3} + 9 \, a^{2} b^{5}\right)} \cosh\left(x\right) - {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7} - {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{6} - {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \sinh\left(x\right)^{6} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{6} b - 12 \, a^{4} b^{3} - 33 \, a^{2} b^{5} - 18 \, b^{7} - 15 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} - 5 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{3} - 5 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{6} b - 12 \, a^{4} b^{3} - 33 \, a^{2} b^{5} - 18 \, b^{7} + 15 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7} - {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{6} - {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \sinh\left(x\right)^{6} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{6} b - 12 \, a^{4} b^{3} - 33 \, a^{2} b^{5} - 18 \, b^{7} - 15 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} - 5 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{3} - 5 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{6} b - 12 \, a^{4} b^{3} - 33 \, a^{2} b^{5} - 18 \, b^{7} + 15 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{7} - 4 \, a^{5} b^{2} - 11 \, a^{3} b^{4} - 6 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} b - 4 \, a^{4} b^{3} - 11 \, a^{2} b^{5} - 6 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, {\left(7 \, a^{6} b + 16 \, a^{4} b^{3} + 9 \, a^{2} b^{5} + 5 \, {\left(a^{6} b + 4 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{4} + 8 \, {\left(a^{7} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(2 \, a^{6} b + 5 \, a^{4} b^{3} + 3 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{7} + 6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 6 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5} - {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{6} - {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \sinh\left(x\right)^{6} - 2 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4} + 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{8} b + 6 \, a^{6} b^{3} + 3 \, a^{4} b^{5} - 15 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4} - 5 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{3} - 5 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{8} b + 6 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + 15 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4} + 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{9} + 2 \, a^{7} b^{2} + a^{5} b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(8*a^5*b^2 + 20*a^3*b^4 + 12*a*b^6 - 2*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*cosh(x)^5 - 2*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*sinh(x)^5 - 4*(a^7 - 4*a^3*b^4 - 3*a*b^6)*cosh(x)^4 - 2*(2*a^7 - 8*a^3*b^4 - 6*a*b^6 + 5*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*cosh(x))*sinh(x)^4 + 8*(2*a^6*b + 5*a^4*b^3 + 3*a^2*b^5)*cosh(x)^3 + 4*(4*a^6*b + 10*a^4*b^3 + 6*a^2*b^5 - 5*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*cosh(x)^2 - 4*(a^7 - 4*a^3*b^4 - 3*a*b^6)*cosh(x))*sinh(x)^3 - 4*(a^7 + 6*a^5*b^2 + 11*a^3*b^4 + 6*a*b^6)*cosh(x)^2 - 4*(a^7 + 6*a^5*b^2 + 11*a^3*b^4 + 6*a*b^6 + 5*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*cosh(x)^3 + 6*(a^7 - 4*a^3*b^4 - 3*a*b^6)*cosh(x)^2 - 6*(2*a^6*b + 5*a^4*b^3 + 3*a^2*b^5)*cosh(x))*sinh(x)^2 + 2*((4*a^2*b^4 + 3*b^6)*cosh(x)^6 + (4*a^2*b^4 + 3*b^6)*sinh(x)^6 - 4*a^2*b^4 - 3*b^6 + 2*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^5 + 2*(4*a^3*b^3 + 3*a*b^5 + 3*(4*a^2*b^4 + 3*b^6)*cosh(x))*sinh(x)^5 - 3*(4*a^2*b^4 + 3*b^6)*cosh(x)^4 - (12*a^2*b^4 + 9*b^6 - 15*(4*a^2*b^4 + 3*b^6)*cosh(x)^2 - 10*(4*a^3*b^3 + 3*a*b^5)*cosh(x))*sinh(x)^4 - 4*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^3 - 4*(4*a^3*b^3 + 3*a*b^5 - 5*(4*a^2*b^4 + 3*b^6)*cosh(x)^3 - 5*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^2 + 3*(4*a^2*b^4 + 3*b^6)*cosh(x))*sinh(x)^3 + 3*(4*a^2*b^4 + 3*b^6)*cosh(x)^2 + (12*a^2*b^4 + 9*b^6 + 15*(4*a^2*b^4 + 3*b^6)*cosh(x)^4 + 20*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^3 - 18*(4*a^2*b^4 + 3*b^6)*cosh(x)^2 - 12*(4*a^3*b^3 + 3*a*b^5)*cosh(x))*sinh(x)^2 + 2*(4*a^3*b^3 + 3*a*b^5)*cosh(x) + 2*(4*a^3*b^3 + 3*a*b^5 + 3*(4*a^2*b^4 + 3*b^6)*cosh(x)^5 + 5*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^4 - 6*(4*a^2*b^4 + 3*b^6)*cosh(x)^3 - 6*(4*a^3*b^3 + 3*a*b^5)*cosh(x)^2 + 3*(4*a^2*b^4 + 3*b^6)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(7*a^6*b + 16*a^4*b^3 + 9*a^2*b^5)*cosh(x) - (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7 - (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^6 - (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*sinh(x)^6 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^5 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x)^5 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^4 + (3*a^6*b - 12*a^4*b^3 - 33*a^2*b^5 - 18*b^7 - 15*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - 10*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x))*sinh(x)^4 + 4*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^3 + 4*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 - 5*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^3 - 5*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^2 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x)^3 - 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - (3*a^6*b - 12*a^4*b^3 - 33*a^2*b^5 - 18*b^7 + 15*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^4 + 20*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^3 - 18*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - 12*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x) - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^5 + 5*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^4 - 6*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^3 - 6*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^2 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7 - (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^6 - (a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*sinh(x)^6 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^5 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x)^5 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^4 + (3*a^6*b - 12*a^4*b^3 - 33*a^2*b^5 - 18*b^7 - 15*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - 10*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x))*sinh(x)^4 + 4*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^3 + 4*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 - 5*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^3 - 5*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^2 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x)^3 - 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - (3*a^6*b - 12*a^4*b^3 - 33*a^2*b^5 - 18*b^7 + 15*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^4 + 20*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^3 - 18*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^2 - 12*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x) - 2*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^5 + 5*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^4 - 6*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x)^3 - 6*(a^7 - 4*a^5*b^2 - 11*a^3*b^4 - 6*a*b^6)*cosh(x)^2 + 3*(a^6*b - 4*a^4*b^3 - 11*a^2*b^5 - 6*b^7)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 2*(7*a^6*b + 16*a^4*b^3 + 9*a^2*b^5 + 5*(a^6*b + 4*a^4*b^3 + 3*a^2*b^5)*cosh(x)^4 + 8*(a^7 - 4*a^3*b^4 - 3*a*b^6)*cosh(x)^3 - 12*(2*a^6*b + 5*a^4*b^3 + 3*a^2*b^5)*cosh(x)^2 + 4*(a^7 + 6*a^5*b^2 + 11*a^3*b^4 + 6*a*b^6)*cosh(x))*sinh(x))/(a^8*b + 2*a^6*b^3 + a^4*b^5 - (a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^6 - (a^8*b + 2*a^6*b^3 + a^4*b^5)*sinh(x)^6 - 2*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^5 - 2*(a^9 + 2*a^7*b^2 + a^5*b^4 + 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x))*sinh(x)^5 + 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^4 + (3*a^8*b + 6*a^6*b^3 + 3*a^4*b^5 - 15*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^2 - 10*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x))*sinh(x)^4 + 4*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^3 + 4*(a^9 + 2*a^7*b^2 + a^5*b^4 - 5*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^3 - 5*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^2 + 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x))*sinh(x)^3 - 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^2 - (3*a^8*b + 6*a^6*b^3 + 3*a^4*b^5 + 15*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^4 + 20*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^3 - 18*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^2 - 12*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x))*sinh(x)^2 - 2*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x) - 2*(a^9 + 2*a^7*b^2 + a^5*b^4 + 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^5 + 5*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^4 - 6*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x)^3 - 6*(a^9 + 2*a^7*b^2 + a^5*b^4)*cosh(x)^2 + 3*(a^8*b + 2*a^6*b^3 + a^4*b^5)*cosh(x))*sinh(x))","B",0
87,1,6430,0,0.961022," ","integrate(csch(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{4 \, a^{7} b - 10 \, a^{5} b^{3} - 38 \, a^{3} b^{5} - 24 \, a b^{7} - 6 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{7} - 6 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \sinh\left(x\right)^{7} - 6 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{6} - 6 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7} + 7 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 6 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6} - 21 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(2 \, a^{7} b - 5 \, a^{5} b^{3} - 19 \, a^{3} b^{5} - 12 \, a b^{7}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(2 \, a^{7} b - 5 \, a^{5} b^{3} - 19 \, a^{3} b^{5} - 12 \, a b^{7} - 35 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(4 \, a^{8} - 3 \, a^{6} b^{2} - 21 \, a^{4} b^{4} - 14 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{8} - 3 \, a^{6} b^{2} - 21 \, a^{4} b^{4} - 14 \, a^{2} b^{6} - 35 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(2 \, a^{7} b - 5 \, a^{5} b^{3} - 19 \, a^{3} b^{5} - 12 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(2 \, a^{7} b - 23 \, a^{5} b^{3} - 61 \, a^{3} b^{5} - 36 \, a b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{7} b - 23 \, a^{5} b^{3} - 61 \, a^{3} b^{5} - 36 \, a b^{7} + 63 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{5} + 45 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(2 \, a^{7} b - 5 \, a^{5} b^{3} - 19 \, a^{3} b^{5} - 12 \, a b^{7}\right)} \cosh\left(x\right)^{2} - 9 \, {\left(4 \, a^{8} - 3 \, a^{6} b^{2} - 21 \, a^{4} b^{4} - 14 \, a^{2} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{8} + {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6} + 4 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 5 \, a^{2} b^{5} + 4 \, b^{7} - 4 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(10 \, a^{2} b^{5} + 8 \, b^{7} - 14 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(15 \, a^{3} b^{4} + 12 \, a b^{6} - 28 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(15 \, a^{2} b^{5} + 12 \, b^{7} + 35 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(15 \, a^{3} b^{4} + 12 \, a b^{6} + 28 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 40 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(10 \, a^{2} b^{5} + 8 \, b^{7} - 14 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 9 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{7} - 5 \, a^{3} b^{4} - 4 \, a b^{6} + 7 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{6} - 12 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(5 \, a^{3} b^{4} + 4 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(4 \, a^{8} - 7 \, a^{6} b^{2} - 29 \, a^{4} b^{4} - 18 \, a^{2} b^{6}\right)} \cosh\left(x\right) + 3 \, {\left({\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{8} + {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \sinh\left(x\right)^{8} + a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8} + 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(2 \, a^{6} b^{2} - 4 \, a^{4} b^{4} - 14 \, a^{2} b^{6} - 8 \, b^{8} - 14 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{7} b - 6 \, a^{5} b^{3} - 21 \, a^{3} b^{5} - 12 \, a b^{7} - 28 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} b^{2} - 6 \, a^{4} b^{4} - 21 \, a^{2} b^{6} - 12 \, b^{8} + 35 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{7} b - 6 \, a^{5} b^{3} - 21 \, a^{3} b^{5} - 12 \, a b^{7} + 28 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{4} - 40 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{6} b^{2} - 4 \, a^{4} b^{4} - 14 \, a^{2} b^{6} - 8 \, b^{8} - 14 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 9 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{6} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 3 \, {\left({\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{8} + {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \sinh\left(x\right)^{8} + a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8} + 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(2 \, a^{6} b^{2} - 4 \, a^{4} b^{4} - 14 \, a^{2} b^{6} - 8 \, b^{8} - 14 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{7} b - 6 \, a^{5} b^{3} - 21 \, a^{3} b^{5} - 12 \, a b^{7} - 28 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} b^{2} - 6 \, a^{4} b^{4} - 21 \, a^{2} b^{6} - 12 \, b^{8} + 35 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{7} b - 6 \, a^{5} b^{3} - 21 \, a^{3} b^{5} - 12 \, a b^{7} + 28 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{4} - 40 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{6} b^{2} - 4 \, a^{4} b^{4} - 14 \, a^{2} b^{6} - 8 \, b^{8} - 14 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{2} - 9 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7} - 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{6} + 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(a^{7} b - 2 \, a^{5} b^{3} - 7 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4} - 7 \, a^{2} b^{6} - 4 \, b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, {\left(4 \, a^{8} - 7 \, a^{6} b^{2} - 29 \, a^{4} b^{4} - 18 \, a^{2} b^{6} + 21 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 2 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{6} + 18 \, {\left(2 \, a^{7} b + a^{5} b^{3} - 5 \, a^{3} b^{5} - 4 \, a b^{7}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(7 \, a^{6} b^{2} + 17 \, a^{4} b^{4} + 10 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{7} b - 5 \, a^{5} b^{3} - 19 \, a^{3} b^{5} - 12 \, a b^{7}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(4 \, a^{8} - 3 \, a^{6} b^{2} - 21 \, a^{4} b^{4} - 14 \, a^{2} b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{7} b - 23 \, a^{5} b^{3} - 61 \, a^{3} b^{5} - 36 \, a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5} + {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{8} + {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4} + 4 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(2 \, a^{9} b + 4 \, a^{7} b^{3} + 2 \, a^{5} b^{5} - 14 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{10} + 6 \, a^{8} b^{2} + 3 \, a^{6} b^{4} - 28 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{9} b + 6 \, a^{7} b^{3} + 3 \, a^{5} b^{5} + 35 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{10} + 6 \, a^{8} b^{2} + 3 \, a^{6} b^{4} + 28 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{4} - 40 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{9} b + 4 \, a^{7} b^{3} + 2 \, a^{5} b^{5} - 14 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{3} - 18 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{2} - 9 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4} - 4 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{6} + 12 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(a^{10} + 2 \, a^{8} b^{2} + a^{6} b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{9} b + 2 \, a^{7} b^{3} + a^{5} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(4*a^7*b - 10*a^5*b^3 - 38*a^3*b^5 - 24*a*b^7 - 6*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^7 - 6*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*sinh(x)^7 - 6*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x)^6 - 6*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7 + 7*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x))*sinh(x)^6 + 6*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6)*cosh(x)^5 + 6*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6 - 21*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^2 - 6*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^5 + 6*(2*a^7*b - 5*a^5*b^3 - 19*a^3*b^5 - 12*a*b^7)*cosh(x)^4 + 6*(2*a^7*b - 5*a^5*b^3 - 19*a^3*b^5 - 12*a*b^7 - 35*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^3 - 15*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 5*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6)*cosh(x))*sinh(x)^4 + 6*(4*a^8 - 3*a^6*b^2 - 21*a^4*b^4 - 14*a^2*b^6)*cosh(x)^3 + 6*(4*a^8 - 3*a^6*b^2 - 21*a^4*b^4 - 14*a^2*b^6 - 35*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^4 - 20*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x)^3 + 10*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6)*cosh(x)^2 + 4*(2*a^7*b - 5*a^5*b^3 - 19*a^3*b^5 - 12*a*b^7)*cosh(x))*sinh(x)^3 - 2*(2*a^7*b - 23*a^5*b^3 - 61*a^3*b^5 - 36*a*b^7)*cosh(x)^2 - 2*(2*a^7*b - 23*a^5*b^3 - 61*a^3*b^5 - 36*a*b^7 + 63*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^5 + 45*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x)^4 - 30*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6)*cosh(x)^3 - 18*(2*a^7*b - 5*a^5*b^3 - 19*a^3*b^5 - 12*a*b^7)*cosh(x)^2 - 9*(4*a^8 - 3*a^6*b^2 - 21*a^4*b^4 - 14*a^2*b^6)*cosh(x))*sinh(x)^2 - 3*((5*a^2*b^5 + 4*b^7)*cosh(x)^8 + (5*a^2*b^5 + 4*b^7)*sinh(x)^8 + 2*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^7 + 2*(5*a^3*b^4 + 4*a*b^6 + 4*(5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^7 + 5*a^2*b^5 + 4*b^7 - 4*(5*a^2*b^5 + 4*b^7)*cosh(x)^6 - 2*(10*a^2*b^5 + 8*b^7 - 14*(5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 7*(5*a^3*b^4 + 4*a*b^6)*cosh(x))*sinh(x)^6 - 6*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^5 - 2*(15*a^3*b^4 + 12*a*b^6 - 28*(5*a^2*b^5 + 4*b^7)*cosh(x)^3 - 21*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^2 + 12*(5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^5 + 6*(5*a^2*b^5 + 4*b^7)*cosh(x)^4 + 2*(15*a^2*b^5 + 12*b^7 + 35*(5*a^2*b^5 + 4*b^7)*cosh(x)^4 + 35*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^3 - 30*(5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 15*(5*a^3*b^4 + 4*a*b^6)*cosh(x))*sinh(x)^4 + 6*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^3 + 2*(15*a^3*b^4 + 12*a*b^6 + 28*(5*a^2*b^5 + 4*b^7)*cosh(x)^5 + 35*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^4 - 40*(5*a^2*b^5 + 4*b^7)*cosh(x)^3 - 30*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^2 + 12*(5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^3 - 4*(5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 2*(10*a^2*b^5 + 8*b^7 - 14*(5*a^2*b^5 + 4*b^7)*cosh(x)^6 - 21*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^5 + 30*(5*a^2*b^5 + 4*b^7)*cosh(x)^4 + 30*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^3 - 18*(5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 9*(5*a^3*b^4 + 4*a*b^6)*cosh(x))*sinh(x)^2 - 2*(5*a^3*b^4 + 4*a*b^6)*cosh(x) + 2*(4*(5*a^2*b^5 + 4*b^7)*cosh(x)^7 - 5*a^3*b^4 - 4*a*b^6 + 7*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^6 - 12*(5*a^2*b^5 + 4*b^7)*cosh(x)^5 - 15*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^4 + 12*(5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 9*(5*a^3*b^4 + 4*a*b^6)*cosh(x)^2 - 4*(5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(4*a^8 - 7*a^6*b^2 - 29*a^4*b^4 - 18*a^2*b^6)*cosh(x) + 3*((a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^8 + (a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*sinh(x)^8 + a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8 + 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^7 + 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7 + 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^7 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^6 - 2*(2*a^6*b^2 - 4*a^4*b^4 - 14*a^2*b^6 - 8*b^8 - 14*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 7*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^6 - 6*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^5 - 2*(3*a^7*b - 6*a^5*b^3 - 21*a^3*b^5 - 12*a*b^7 - 28*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 21*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^5 + 6*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 2*(3*a^6*b^2 - 6*a^4*b^4 - 21*a^2*b^6 - 12*b^8 + 35*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 35*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 - 30*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 15*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^4 + 6*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 + 2*(3*a^7*b - 6*a^5*b^3 - 21*a^3*b^5 - 12*a*b^7 + 28*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^5 + 35*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^4 - 40*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 30*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^3 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 2*(2*a^6*b^2 - 4*a^4*b^4 - 14*a^2*b^6 - 8*b^8 - 14*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^6 - 21*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^5 + 30*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 30*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 - 18*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 9*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^2 - 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x) - 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^7 - 7*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^6 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^5 + 15*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^4 - 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 9*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - 3*((a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^8 + (a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*sinh(x)^8 + a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8 + 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^7 + 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7 + 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^7 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^6 - 2*(2*a^6*b^2 - 4*a^4*b^4 - 14*a^2*b^6 - 8*b^8 - 14*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 7*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^6 - 6*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^5 - 2*(3*a^7*b - 6*a^5*b^3 - 21*a^3*b^5 - 12*a*b^7 - 28*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 21*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^5 + 6*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 2*(3*a^6*b^2 - 6*a^4*b^4 - 21*a^2*b^6 - 12*b^8 + 35*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 35*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 - 30*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 15*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^4 + 6*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 + 2*(3*a^7*b - 6*a^5*b^3 - 21*a^3*b^5 - 12*a*b^7 + 28*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^5 + 35*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^4 - 40*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 30*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x)^3 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 2*(2*a^6*b^2 - 4*a^4*b^4 - 14*a^2*b^6 - 8*b^8 - 14*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^6 - 21*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^5 + 30*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^4 + 30*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^3 - 18*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^2 - 9*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x))*sinh(x)^2 - 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x) - 2*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7 - 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^7 - 7*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^6 + 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^5 + 15*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^4 - 12*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x)^3 - 9*(a^7*b - 2*a^5*b^3 - 7*a^3*b^5 - 4*a*b^7)*cosh(x)^2 + 4*(a^6*b^2 - 2*a^4*b^4 - 7*a^2*b^6 - 4*b^8)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 2*(4*a^8 - 7*a^6*b^2 - 29*a^4*b^4 - 18*a^2*b^6 + 21*(a^6*b^2 + 3*a^4*b^4 + 2*a^2*b^6)*cosh(x)^6 + 18*(2*a^7*b + a^5*b^3 - 5*a^3*b^5 - 4*a*b^7)*cosh(x)^5 - 15*(7*a^6*b^2 + 17*a^4*b^4 + 10*a^2*b^6)*cosh(x)^4 - 12*(2*a^7*b - 5*a^5*b^3 - 19*a^3*b^5 - 12*a*b^7)*cosh(x)^3 - 9*(4*a^8 - 3*a^6*b^2 - 21*a^4*b^4 - 14*a^2*b^6)*cosh(x)^2 + 2*(2*a^7*b - 23*a^5*b^3 - 61*a^3*b^5 - 36*a*b^7)*cosh(x))*sinh(x))/(a^9*b + 2*a^7*b^3 + a^5*b^5 + (a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^8 + (a^9*b + 2*a^7*b^3 + a^5*b^5)*sinh(x)^8 + 2*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^7 + 2*(a^10 + 2*a^8*b^2 + a^6*b^4 + 4*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x))*sinh(x)^7 - 4*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^6 - 2*(2*a^9*b + 4*a^7*b^3 + 2*a^5*b^5 - 14*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^2 - 7*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x))*sinh(x)^6 - 6*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^5 - 2*(3*a^10 + 6*a^8*b^2 + 3*a^6*b^4 - 28*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^3 - 21*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^2 + 12*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x))*sinh(x)^5 + 6*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^4 + 2*(3*a^9*b + 6*a^7*b^3 + 3*a^5*b^5 + 35*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^4 + 35*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^3 - 30*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^2 - 15*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x))*sinh(x)^4 + 6*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^3 + 2*(3*a^10 + 6*a^8*b^2 + 3*a^6*b^4 + 28*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^5 + 35*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^4 - 40*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^3 - 30*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^2 + 12*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x))*sinh(x)^3 - 4*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^2 - 2*(2*a^9*b + 4*a^7*b^3 + 2*a^5*b^5 - 14*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^6 - 21*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^5 + 30*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^4 + 30*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^3 - 18*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^2 - 9*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x))*sinh(x)^2 - 2*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x) - 2*(a^10 + 2*a^8*b^2 + a^6*b^4 - 4*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^7 - 7*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^6 + 12*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^5 + 15*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^4 - 12*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x)^3 - 9*(a^10 + 2*a^8*b^2 + a^6*b^4)*cosh(x)^2 + 4*(a^9*b + 2*a^7*b^3 + a^5*b^5)*cosh(x))*sinh(x))","B",0
88,1,28,0,0.511862," ","integrate(1/(3+5*I*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{i \, \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i + \frac{4}{5}\right) - i \, \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i - \frac{4}{5}\right)}{4 \, d}"," ",0,"1/4*(I*log(e^(d*x + c) - 3/5*I + 4/5) - I*log(e^(d*x + c) - 3/5*I - 4/5))/d","A",0
89,1,100,0,0.620178," ","integrate(1/(3+5*I*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(-15 i \, e^{\left(2 \, d x + 2 \, c\right)} - 18 \, e^{\left(d x + c\right)} + 15 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i + \frac{4}{5}\right) + {\left(15 i \, e^{\left(2 \, d x + 2 \, c\right)} + 18 \, e^{\left(d x + c\right)} - 15 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i - \frac{4}{5}\right) + 24 i \, e^{\left(d x + c\right)} + 40}{320 \, d e^{\left(2 \, d x + 2 \, c\right)} - 384 i \, d e^{\left(d x + c\right)} - 320 \, d}"," ",0,"((-15*I*e^(2*d*x + 2*c) - 18*e^(d*x + c) + 15*I)*log(e^(d*x + c) - 3/5*I + 4/5) + (15*I*e^(2*d*x + 2*c) + 18*e^(d*x + c) - 15*I)*log(e^(d*x + c) - 3/5*I - 4/5) + 24*I*e^(d*x + c) + 40)/(320*d*e^(2*d*x + 2*c) - 384*I*d*e^(d*x + c) - 320*d)","A",0
90,1,190,0,0.726124," ","integrate(1/(3+5*I*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{{\left(1075 i \, e^{\left(4 \, d x + 4 \, c\right)} + 2580 \, e^{\left(3 \, d x + 3 \, c\right)} - 3698 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2580 \, e^{\left(d x + c\right)} + 1075 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i + \frac{4}{5}\right) + {\left(-1075 i \, e^{\left(4 \, d x + 4 \, c\right)} - 2580 \, e^{\left(3 \, d x + 3 \, c\right)} + 3698 i \, e^{\left(2 \, d x + 2 \, c\right)} + 2580 \, e^{\left(d x + c\right)} - 1075 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i - \frac{4}{5}\right) - 1720 i \, e^{\left(3 \, d x + 3 \, c\right)} - 3096 \, e^{\left(2 \, d x + 2 \, c\right)} + 2600 i \, e^{\left(d x + c\right)} + 1800}{51200 \, d e^{\left(4 \, d x + 4 \, c\right)} - 122880 i \, d e^{\left(3 \, d x + 3 \, c\right)} - 176128 \, d e^{\left(2 \, d x + 2 \, c\right)} + 122880 i \, d e^{\left(d x + c\right)} + 51200 \, d}"," ",0,"((1075*I*e^(4*d*x + 4*c) + 2580*e^(3*d*x + 3*c) - 3698*I*e^(2*d*x + 2*c) - 2580*e^(d*x + c) + 1075*I)*log(e^(d*x + c) - 3/5*I + 4/5) + (-1075*I*e^(4*d*x + 4*c) - 2580*e^(3*d*x + 3*c) + 3698*I*e^(2*d*x + 2*c) + 2580*e^(d*x + c) - 1075*I)*log(e^(d*x + c) - 3/5*I - 4/5) - 1720*I*e^(3*d*x + 3*c) - 3096*e^(2*d*x + 2*c) + 2600*I*e^(d*x + c) + 1800)/(51200*d*e^(4*d*x + 4*c) - 122880*I*d*e^(3*d*x + 3*c) - 176128*d*e^(2*d*x + 2*c) + 122880*I*d*e^(d*x + c) + 51200*d)","A",0
91,1,280,0,0.954684," ","integrate(1/(3+5*I*sinh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(-104625 i \, e^{\left(6 \, d x + 6 \, c\right)} - 376650 \, e^{\left(5 \, d x + 5 \, c\right)} + 765855 i \, e^{\left(4 \, d x + 4 \, c\right)} + 934092 \, e^{\left(3 \, d x + 3 \, c\right)} - 765855 i \, e^{\left(2 \, d x + 2 \, c\right)} - 376650 \, e^{\left(d x + c\right)} + 104625 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i + \frac{4}{5}\right) + {\left(104625 i \, e^{\left(6 \, d x + 6 \, c\right)} + 376650 \, e^{\left(5 \, d x + 5 \, c\right)} - 765855 i \, e^{\left(4 \, d x + 4 \, c\right)} - 934092 \, e^{\left(3 \, d x + 3 \, c\right)} + 765855 i \, e^{\left(2 \, d x + 2 \, c\right)} + 376650 \, e^{\left(d x + c\right)} - 104625 i\right)} \log\left(e^{\left(d x + c\right)} - \frac{3}{5} i - \frac{4}{5}\right) + 167400 i \, e^{\left(5 \, d x + 5 \, c\right)} + 502200 \, e^{\left(4 \, d x + 4 \, c\right)} - 888336 i \, e^{\left(3 \, d x + 3 \, c\right)} - 954480 \, e^{\left(2 \, d x + 2 \, c\right)} + 549000 i \, e^{\left(d x + c\right)} + 199000}{12288000 \, d e^{\left(6 \, d x + 6 \, c\right)} - 44236800 i \, d e^{\left(5 \, d x + 5 \, c\right)} - 89948160 \, d e^{\left(4 \, d x + 4 \, c\right)} + 109707264 i \, d e^{\left(3 \, d x + 3 \, c\right)} + 89948160 \, d e^{\left(2 \, d x + 2 \, c\right)} - 44236800 i \, d e^{\left(d x + c\right)} - 12288000 \, d}"," ",0,"((-104625*I*e^(6*d*x + 6*c) - 376650*e^(5*d*x + 5*c) + 765855*I*e^(4*d*x + 4*c) + 934092*e^(3*d*x + 3*c) - 765855*I*e^(2*d*x + 2*c) - 376650*e^(d*x + c) + 104625*I)*log(e^(d*x + c) - 3/5*I + 4/5) + (104625*I*e^(6*d*x + 6*c) + 376650*e^(5*d*x + 5*c) - 765855*I*e^(4*d*x + 4*c) - 934092*e^(3*d*x + 3*c) + 765855*I*e^(2*d*x + 2*c) + 376650*e^(d*x + c) - 104625*I)*log(e^(d*x + c) - 3/5*I - 4/5) + 167400*I*e^(5*d*x + 5*c) + 502200*e^(4*d*x + 4*c) - 888336*I*e^(3*d*x + 3*c) - 954480*e^(2*d*x + 2*c) + 549000*I*e^(d*x + c) + 199000)/(12288000*d*e^(6*d*x + 6*c) - 44236800*I*d*e^(5*d*x + 5*c) - 89948160*d*e^(4*d*x + 4*c) + 109707264*I*d*e^(3*d*x + 3*c) + 89948160*d*e^(2*d*x + 2*c) - 44236800*I*d*e^(d*x + c) - 12288000*d)","B",0
92,1,26,0,0.481838," ","integrate(1/(5+3*I*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(e^{\left(d x + c\right)} - \frac{1}{3} i\right) - \log\left(e^{\left(d x + c\right)} - 3 i\right)}{4 \, d}"," ",0,"1/4*(log(e^(d*x + c) - 1/3*I) - log(e^(d*x + c) - 3*I))/d","A",0
93,1,102,0,0.491136," ","integrate(1/(5+3*I*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{5 \, {\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 10 i \, e^{\left(d x + c\right)} - 3\right)} \log\left(e^{\left(d x + c\right)} - \frac{1}{3} i\right) - 5 \, {\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 10 i \, e^{\left(d x + c\right)} - 3\right)} \log\left(e^{\left(d x + c\right)} - 3 i\right) - 40 i \, e^{\left(d x + c\right)} - 24}{192 \, d e^{\left(2 \, d x + 2 \, c\right)} - 640 i \, d e^{\left(d x + c\right)} - 192 \, d}"," ",0,"(5*(3*e^(2*d*x + 2*c) - 10*I*e^(d*x + c) - 3)*log(e^(d*x + c) - 1/3*I) - 5*(3*e^(2*d*x + 2*c) - 10*I*e^(d*x + c) - 3)*log(e^(d*x + c) - 3*I) - 40*I*e^(d*x + c) - 24)/(192*d*e^(2*d*x + 2*c) - 640*I*d*e^(d*x + c) - 192*d)","A",0
94,1,191,0,0.941752," ","integrate(1/(5+3*I*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{{\left(531 \, e^{\left(4 \, d x + 4 \, c\right)} - 3540 i \, e^{\left(3 \, d x + 3 \, c\right)} - 6962 \, e^{\left(2 \, d x + 2 \, c\right)} + 3540 i \, e^{\left(d x + c\right)} + 531\right)} \log\left(e^{\left(d x + c\right)} - \frac{1}{3} i\right) - {\left(531 \, e^{\left(4 \, d x + 4 \, c\right)} - 3540 i \, e^{\left(3 \, d x + 3 \, c\right)} - 6962 \, e^{\left(2 \, d x + 2 \, c\right)} + 3540 i \, e^{\left(d x + c\right)} + 531\right)} \log\left(e^{\left(d x + c\right)} - 3 i\right) - 1416 i \, e^{\left(3 \, d x + 3 \, c\right)} - 7080 \, e^{\left(2 \, d x + 2 \, c\right)} + 5784 i \, e^{\left(d x + c\right)} + 1080}{18432 \, d e^{\left(4 \, d x + 4 \, c\right)} - 122880 i \, d e^{\left(3 \, d x + 3 \, c\right)} - 241664 \, d e^{\left(2 \, d x + 2 \, c\right)} + 122880 i \, d e^{\left(d x + c\right)} + 18432 \, d}"," ",0,"((531*e^(4*d*x + 4*c) - 3540*I*e^(3*d*x + 3*c) - 6962*e^(2*d*x + 2*c) + 3540*I*e^(d*x + c) + 531)*log(e^(d*x + c) - 1/3*I) - (531*e^(4*d*x + 4*c) - 3540*I*e^(3*d*x + 3*c) - 6962*e^(2*d*x + 2*c) + 3540*I*e^(d*x + c) + 531)*log(e^(d*x + c) - 3*I) - 1416*I*e^(3*d*x + 3*c) - 7080*e^(2*d*x + 2*c) + 5784*I*e^(d*x + c) + 1080)/(18432*d*e^(4*d*x + 4*c) - 122880*I*d*e^(3*d*x + 3*c) - 241664*d*e^(2*d*x + 2*c) + 122880*I*d*e^(d*x + c) + 18432*d)","B",0
95,1,281,0,0.545891," ","integrate(1/(5+3*I*sinh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(31185 \, e^{\left(6 \, d x + 6 \, c\right)} - 311850 i \, e^{\left(5 \, d x + 5 \, c\right)} - 1133055 \, e^{\left(4 \, d x + 4 \, c\right)} + 1778700 i \, e^{\left(3 \, d x + 3 \, c\right)} + 1133055 \, e^{\left(2 \, d x + 2 \, c\right)} - 311850 i \, e^{\left(d x + c\right)} - 31185\right)} \log\left(e^{\left(d x + c\right)} - \frac{1}{3} i\right) - {\left(31185 \, e^{\left(6 \, d x + 6 \, c\right)} - 311850 i \, e^{\left(5 \, d x + 5 \, c\right)} - 1133055 \, e^{\left(4 \, d x + 4 \, c\right)} + 1778700 i \, e^{\left(3 \, d x + 3 \, c\right)} + 1133055 \, e^{\left(2 \, d x + 2 \, c\right)} - 311850 i \, e^{\left(d x + c\right)} - 31185\right)} \log\left(e^{\left(d x + c\right)} - 3 i\right) - 83160 i \, e^{\left(5 \, d x + 5 \, c\right)} - 693000 \, e^{\left(4 \, d x + 4 \, c\right)} + 1915760 i \, e^{\left(3 \, d x + 3 \, c\right)} + 1747728 \, e^{\left(2 \, d x + 2 \, c\right)} - 588600 i \, e^{\left(d x + c\right)} - 67176}{2654208 \, d e^{\left(6 \, d x + 6 \, c\right)} - 26542080 i \, d e^{\left(5 \, d x + 5 \, c\right)} - 96436224 \, d e^{\left(4 \, d x + 4 \, c\right)} + 151388160 i \, d e^{\left(3 \, d x + 3 \, c\right)} + 96436224 \, d e^{\left(2 \, d x + 2 \, c\right)} - 26542080 i \, d e^{\left(d x + c\right)} - 2654208 \, d}"," ",0,"((31185*e^(6*d*x + 6*c) - 311850*I*e^(5*d*x + 5*c) - 1133055*e^(4*d*x + 4*c) + 1778700*I*e^(3*d*x + 3*c) + 1133055*e^(2*d*x + 2*c) - 311850*I*e^(d*x + c) - 31185)*log(e^(d*x + c) - 1/3*I) - (31185*e^(6*d*x + 6*c) - 311850*I*e^(5*d*x + 5*c) - 1133055*e^(4*d*x + 4*c) + 1778700*I*e^(3*d*x + 3*c) + 1133055*e^(2*d*x + 2*c) - 311850*I*e^(d*x + c) - 31185)*log(e^(d*x + c) - 3*I) - 83160*I*e^(5*d*x + 5*c) - 693000*e^(4*d*x + 4*c) + 1915760*I*e^(3*d*x + 3*c) + 1747728*e^(2*d*x + 2*c) - 588600*I*e^(d*x + c) - 67176)/(2654208*d*e^(6*d*x + 6*c) - 26542080*I*d*e^(5*d*x + 5*c) - 96436224*d*e^(4*d*x + 4*c) + 151388160*I*d*e^(3*d*x + 3*c) + 96436224*d*e^(2*d*x + 2*c) - 26542080*I*d*e^(d*x + c) - 2654208*d)","B",0
96,1,223,0,0.490078," ","integrate((a+b*sinh(d*x+c))^5,x, algorithm=""fricas"")","\frac{3 \, b^{5} \cosh\left(d x + c\right)^{5} + 15 \, b^{5} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{4} + 150 \, a b^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 25 \, {\left(8 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{3} + 30 \, {\left(8 \, a^{5} - 40 \, a^{3} b^{2} + 15 \, a b^{4}\right)} d x + 15 \, {\left(2 \, b^{5} \cosh\left(d x + c\right)^{3} + 5 \, {\left(8 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 150 \, {\left(8 \, a^{4} b - 12 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right) + 150 \, {\left(a b^{4} \cosh\left(d x + c\right)^{3} + 4 \, {\left(2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{240 \, d}"," ",0,"1/240*(3*b^5*cosh(d*x + c)^5 + 15*b^5*cosh(d*x + c)*sinh(d*x + c)^4 + 150*a*b^4*cosh(d*x + c)*sinh(d*x + c)^3 + 25*(8*a^2*b^3 - b^5)*cosh(d*x + c)^3 + 30*(8*a^5 - 40*a^3*b^2 + 15*a*b^4)*d*x + 15*(2*b^5*cosh(d*x + c)^3 + 5*(8*a^2*b^3 - b^5)*cosh(d*x + c))*sinh(d*x + c)^2 + 150*(8*a^4*b - 12*a^2*b^3 + b^5)*cosh(d*x + c) + 150*(a*b^4*cosh(d*x + c)^3 + 4*(2*a^3*b^2 - a*b^4)*cosh(d*x + c))*sinh(d*x + c))/d","A",0
97,1,146,0,0.826206," ","integrate((a+b*sinh(d*x+c))^4,x, algorithm=""fricas"")","\frac{3 \, b^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 8 \, a b^{3} \cosh\left(d x + c\right)^{3} + 24 \, a b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} d x + 24 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(d x + c\right) + 3 \, {\left(b^{4} \cosh\left(d x + c\right)^{3} + 4 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{24 \, d}"," ",0,"1/24*(3*b^4*cosh(d*x + c)*sinh(d*x + c)^3 + 8*a*b^3*cosh(d*x + c)^3 + 24*a*b^3*cosh(d*x + c)*sinh(d*x + c)^2 + 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*d*x + 24*(4*a^3*b - 3*a*b^3)*cosh(d*x + c) + 3*(b^4*cosh(d*x + c)^3 + 4*(6*a^2*b^2 - b^4)*cosh(d*x + c))*sinh(d*x + c))/d","A",0
98,1,91,0,0.438497," ","integrate((a+b*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{b^{3} \cosh\left(d x + c\right)^{3} + 3 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + 18 \, a b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} d x + 9 \, {\left(4 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)}{12 \, d}"," ",0,"1/12*(b^3*cosh(d*x + c)^3 + 3*b^3*cosh(d*x + c)*sinh(d*x + c)^2 + 18*a*b^2*cosh(d*x + c)*sinh(d*x + c) + 6*(2*a^3 - 3*a*b^2)*d*x + 9*(4*a^2*b - b^3)*cosh(d*x + c))/d","A",0
99,1,46,0,0.402383," ","integrate((a+b*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(2 \, a^{2} - b^{2}\right)} d x + 4 \, a b \cosh\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(b^2*cosh(d*x + c)*sinh(d*x + c) + (2*a^2 - b^2)*d*x + 4*a*b*cosh(d*x + c))/d","A",0
100,1,17,0,0.661599," ","integrate(a+b*sinh(d*x+c),x, algorithm=""fricas"")","\frac{a d x + b \cosh\left(d x + c\right)}{d}"," ",0,"(a*d*x + b*cosh(d*x + c))/d","A",0
101,1,162,0,0.653548," ","integrate(1/(a+b*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) - b}\right)}{\sqrt{a^{2} + b^{2}} d}"," ",0,"log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 + b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) - 2*sqrt(a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) - b))/(sqrt(a^2 + b^2)*d)","B",0
102,1,423,0,0.511282," ","integrate(1/(a+b*sinh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{2 \, a^{2} b + 2 \, b^{3} - {\left(a b \cosh\left(d x + c\right)^{2} + a b \sinh\left(d x + c\right)^{2} + 2 \, a^{2} \cosh\left(d x + c\right) - a b + 2 \, {\left(a b \cosh\left(d x + c\right) + a^{2}\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) - b}\right) - 2 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(d x + c\right) - 2 \, {\left(a^{3} + a b^{2}\right)} \sinh\left(d x + c\right)}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d \sinh\left(d x + c\right)^{2} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d \cosh\left(d x + c\right) - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d + 2 \, {\left({\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d\right)} \sinh\left(d x + c\right)}"," ",0,"-(2*a^2*b + 2*b^3 - (a*b*cosh(d*x + c)^2 + a*b*sinh(d*x + c)^2 + 2*a^2*cosh(d*x + c) - a*b + 2*(a*b*cosh(d*x + c) + a^2)*sinh(d*x + c))*sqrt(a^2 + b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 + b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) - 2*sqrt(a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) - b)) - 2*(a^3 + a*b^2)*cosh(d*x + c) - 2*(a^3 + a*b^2)*sinh(d*x + c))/((a^4*b + 2*a^2*b^3 + b^5)*d*cosh(d*x + c)^2 + (a^4*b + 2*a^2*b^3 + b^5)*d*sinh(d*x + c)^2 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*d*cosh(d*x + c) - (a^4*b + 2*a^2*b^3 + b^5)*d + 2*((a^4*b + 2*a^2*b^3 + b^5)*d*cosh(d*x + c) + (a^5 + 2*a^3*b^2 + a*b^4)*d)*sinh(d*x + c))","B",0
103,1,1347,0,0.614749," ","integrate(1/(a+b*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{6 \, a^{3} b^{2} + 6 \, a b^{4} + 2 \, {\left(2 \, a^{4} b + a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{4} b + a^{2} b^{3} - b^{5}\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4} + {\left(2 \, a^{4} b + a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - {\left({\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{4} + {\left(2 \, a^{2} b^{2} - b^{4}\right)} \sinh\left(d x + c\right)^{4} + 2 \, a^{2} b^{2} - b^{4} + 4 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(2 \, a^{3} b - a b^{3} + {\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{4} - 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(4 \, a^{4} - 4 \, a^{2} b^{2} + b^{4} + 3 \, {\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - 4 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right) - 4 \, {\left(2 \, a^{3} b - a b^{3} - {\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{3} - 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2} - {\left(4 \, a^{4} - 4 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) - b}\right) - 2 \, {\left(10 \, a^{4} b + 11 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right) - 2 \, {\left(10 \, a^{4} b + 11 \, a^{2} b^{3} + b^{5} - 3 \, {\left(2 \, a^{4} b + a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{2} - 6 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{4} + {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{8} + 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} - a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left({\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right) + {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{3} - 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right) + 2 \, {\left(3 \, {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 6 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{8} + 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} - a^{2} b^{6} - b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d + 4 \, {\left({\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{2} + {\left(2 \, a^{8} + 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} - a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right) - {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"1/2*(6*a^3*b^2 + 6*a*b^4 + 2*(2*a^4*b + a^2*b^3 - b^5)*cosh(d*x + c)^3 + 2*(2*a^4*b + a^2*b^3 - b^5)*sinh(d*x + c)^3 + 6*(2*a^5 + a^3*b^2 - a*b^4)*cosh(d*x + c)^2 + 6*(2*a^5 + a^3*b^2 - a*b^4 + (2*a^4*b + a^2*b^3 - b^5)*cosh(d*x + c))*sinh(d*x + c)^2 - ((2*a^2*b^2 - b^4)*cosh(d*x + c)^4 + (2*a^2*b^2 - b^4)*sinh(d*x + c)^4 + 2*a^2*b^2 - b^4 + 4*(2*a^3*b - a*b^3)*cosh(d*x + c)^3 + 4*(2*a^3*b - a*b^3 + (2*a^2*b^2 - b^4)*cosh(d*x + c))*sinh(d*x + c)^3 + 2*(4*a^4 - 4*a^2*b^2 + b^4)*cosh(d*x + c)^2 + 2*(4*a^4 - 4*a^2*b^2 + b^4 + 3*(2*a^2*b^2 - b^4)*cosh(d*x + c)^2 + 6*(2*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c)^2 - 4*(2*a^3*b - a*b^3)*cosh(d*x + c) - 4*(2*a^3*b - a*b^3 - (2*a^2*b^2 - b^4)*cosh(d*x + c)^3 - 3*(2*a^3*b - a*b^3)*cosh(d*x + c)^2 - (4*a^4 - 4*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 + b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 + b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) - b)) - 2*(10*a^4*b + 11*a^2*b^3 + b^5)*cosh(d*x + c) - 2*(10*a^4*b + 11*a^2*b^3 + b^5 - 3*(2*a^4*b + a^2*b^3 - b^5)*cosh(d*x + c)^2 - 6*(2*a^5 + a^3*b^2 - a*b^4)*cosh(d*x + c))*sinh(d*x + c))/((a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d*cosh(d*x + c)^4 + (a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d*sinh(d*x + c)^4 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^3 + 2*(2*a^8 + 5*a^6*b^2 + 3*a^4*b^4 - a^2*b^6 - b^8)*d*cosh(d*x + c)^2 + 4*((a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d*cosh(d*x + c) + (a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d)*sinh(d*x + c)^3 - 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*cosh(d*x + c) + 2*(3*(a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d*cosh(d*x + c)^2 + 6*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*cosh(d*x + c) + (2*a^8 + 5*a^6*b^2 + 3*a^4*b^4 - a^2*b^6 - b^8)*d)*sinh(d*x + c)^2 + (a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d + 4*((a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*d*cosh(d*x + c)^3 + 3*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^2 + (2*a^8 + 5*a^6*b^2 + 3*a^4*b^4 - a^2*b^6 - b^8)*d*cosh(d*x + c) - (a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d)*sinh(d*x + c))","B",0
104,1,2934,0,0.603873," ","integrate(1/(a+b*sinh(d*x+c))^4,x, algorithm=""fricas"")","-\frac{22 \, a^{4} b^{3} + 14 \, a^{2} b^{5} - 8 \, b^{7} - 6 \, {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{5} - 6 \, {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \sinh\left(d x + c\right)^{5} - 30 \, {\left(2 \, a^{6} b - a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{4} - 30 \, {\left(2 \, a^{6} b - a^{4} b^{3} - 3 \, a^{2} b^{5} + {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} - 4 \, {\left(22 \, a^{7} - 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} + 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} - 4 \, {\left(22 \, a^{7} - 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} + 12 \, a b^{6} + 15 \, {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 30 \, {\left(2 \, a^{6} b - a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 12 \, {\left(17 \, a^{6} b + 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} + 2 \, b^{7}\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left(17 \, a^{6} b + 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} + 2 \, b^{7} - 5 \, {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} - 15 \, {\left(2 \, a^{6} b - a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{2} - {\left(22 \, a^{7} - 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} + 12 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 3 \, {\left({\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{6} + {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \sinh\left(d x + c\right)^{6} - 2 \, a^{3} b^{3} + 3 \, a b^{5} + 6 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{5} + 6 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 3 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} + 10 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(4 \, a^{6} - 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(4 \, a^{6} - 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 5 \, {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 15 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 3 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5} - 5 \, {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{4} - 20 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{3} - 6 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{2} - 4 \, {\left(4 \, a^{6} - 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right) + 6 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + {\left(2 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{5} + 5 \, {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{4} + 2 \, {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(4 \, a^{6} - 12 \, a^{4} b^{2} + 9 \, a^{2} b^{4}\right)} \cosh\left(d x + c\right)^{2} - {\left(8 \, a^{5} b - 14 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{2} + b^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + a\right)}}{b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right) + a\right)} \sinh\left(d x + c\right) - b}\right) - 30 \, {\left(4 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} \cosh\left(d x + c\right) - 6 \, {\left(20 \, a^{5} b^{2} + 15 \, a^{3} b^{4} - 5 \, a b^{6} + 5 \, {\left(2 \, a^{5} b^{2} - a^{3} b^{4} - 3 \, a b^{6}\right)} \cosh\left(d x + c\right)^{4} + 20 \, {\left(2 \, a^{6} b - a^{4} b^{3} - 3 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(22 \, a^{7} - 19 \, a^{5} b^{2} - 29 \, a^{3} b^{4} + 12 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} - 4 \, {\left(17 \, a^{6} b + 11 \, a^{4} b^{3} - 4 \, a^{2} b^{5} + 2 \, b^{7}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{6 \, {\left({\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{6} + {\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \sinh\left(d x + c\right)^{6} + 6 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{5} + 3 \, {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 6 \, {\left({\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{5} + 4 \, {\left(2 \, a^{11} + 5 \, a^{9} b^{2} - 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} - 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 10 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{4} - 3 \, {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 15 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{2} + 3 \, {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right) + {\left(2 \, a^{11} + 5 \, a^{9} b^{2} - 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} - 3 \, a b^{10}\right)} d\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right) + 3 \, {\left(5 \, {\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 20 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{3} + 6 \, {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(2 \, a^{11} + 5 \, a^{9} b^{2} - 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} - 3 \, a b^{10}\right)} d \cosh\left(d x + c\right) - {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{2} - {\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d + 6 \, {\left({\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} d \cosh\left(d x + c\right)^{5} + 5 \, {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d \cosh\left(d x + c\right)^{4} + 2 \, {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(2 \, a^{11} + 5 \, a^{9} b^{2} - 10 \, a^{5} b^{6} - 10 \, a^{3} b^{8} - 3 \, a b^{10}\right)} d \cosh\left(d x + c\right)^{2} - {\left(4 \, a^{10} b + 15 \, a^{8} b^{3} + 20 \, a^{6} b^{5} + 10 \, a^{4} b^{7} - b^{11}\right)} d \cosh\left(d x + c\right) + {\left(a^{9} b^{2} + 4 \, a^{7} b^{4} + 6 \, a^{5} b^{6} + 4 \, a^{3} b^{8} + a b^{10}\right)} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/6*(22*a^4*b^3 + 14*a^2*b^5 - 8*b^7 - 6*(2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^5 - 6*(2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*sinh(d*x + c)^5 - 30*(2*a^6*b - a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^4 - 30*(2*a^6*b - a^4*b^3 - 3*a^2*b^5 + (2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^4 - 4*(22*a^7 - 19*a^5*b^2 - 29*a^3*b^4 + 12*a*b^6)*cosh(d*x + c)^3 - 4*(22*a^7 - 19*a^5*b^2 - 29*a^3*b^4 + 12*a*b^6 + 15*(2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^2 + 30*(2*a^6*b - a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 12*(17*a^6*b + 11*a^4*b^3 - 4*a^2*b^5 + 2*b^7)*cosh(d*x + c)^2 + 12*(17*a^6*b + 11*a^4*b^3 - 4*a^2*b^5 + 2*b^7 - 5*(2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^3 - 15*(2*a^6*b - a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^2 - (22*a^7 - 19*a^5*b^2 - 29*a^3*b^4 + 12*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^2 + 3*((2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c)^6 + (2*a^3*b^3 - 3*a*b^5)*sinh(d*x + c)^6 - 2*a^3*b^3 + 3*a*b^5 + 6*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c)^5 + 6*(2*a^4*b^2 - 3*a^2*b^4 + (2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^5 + 3*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^4 + 3*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5 + 5*(2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c)^2 + 10*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^4 + 4*(4*a^6 - 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^3 + 4*(4*a^6 - 12*a^4*b^2 + 9*a^2*b^4 + 5*(2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c)^3 + 15*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c)^2 + 3*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 - 3*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 - 3*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5 - 5*(2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c)^4 - 20*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c)^3 - 6*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^2 - 4*(4*a^6 - 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c))*sinh(d*x + c)^2 + 6*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c) + 6*(2*a^4*b^2 - 3*a^2*b^4 + (2*a^3*b^3 - 3*a*b^5)*cosh(d*x + c)^5 + 5*(2*a^4*b^2 - 3*a^2*b^4)*cosh(d*x + c)^4 + 2*(8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c)^3 + 2*(4*a^6 - 12*a^4*b^2 + 9*a^2*b^4)*cosh(d*x + c)^2 - (8*a^5*b - 14*a^3*b^3 + 3*a*b^5)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 + b^2)*log((b^2*cosh(d*x + c)^2 + b^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + 2*a^2 + b^2 + 2*(b^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(b*cosh(d*x + c) + b*sinh(d*x + c) + a))/(b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2 + 2*a*cosh(d*x + c) + 2*(b*cosh(d*x + c) + a)*sinh(d*x + c) - b)) - 30*(4*a^5*b^2 + 3*a^3*b^4 - a*b^6)*cosh(d*x + c) - 6*(20*a^5*b^2 + 15*a^3*b^4 - 5*a*b^6 + 5*(2*a^5*b^2 - a^3*b^4 - 3*a*b^6)*cosh(d*x + c)^4 + 20*(2*a^6*b - a^4*b^3 - 3*a^2*b^5)*cosh(d*x + c)^3 + 2*(22*a^7 - 19*a^5*b^2 - 29*a^3*b^4 + 12*a*b^6)*cosh(d*x + c)^2 - 4*(17*a^6*b + 11*a^4*b^3 - 4*a^2*b^5 + 2*b^7)*cosh(d*x + c))*sinh(d*x + c))/((a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^6 + (a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*sinh(d*x + c)^6 + 6*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^5 + 3*(4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c)^4 + 6*((a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c) + (a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c)^5 + 4*(2*a^11 + 5*a^9*b^2 - 10*a^5*b^6 - 10*a^3*b^8 - 3*a*b^10)*d*cosh(d*x + c)^3 + 3*(5*(a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^2 + 10*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + (4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d)*sinh(d*x + c)^4 - 3*(4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c)^2 + 4*(5*(a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^3 + 15*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^2 + 3*(4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c) + (2*a^11 + 5*a^9*b^2 - 10*a^5*b^6 - 10*a^3*b^8 - 3*a*b^10)*d)*sinh(d*x + c)^3 + 6*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c) + 3*(5*(a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^4 + 20*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^3 + 6*(4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c)^2 + 4*(2*a^11 + 5*a^9*b^2 - 10*a^5*b^6 - 10*a^3*b^8 - 3*a*b^10)*d*cosh(d*x + c) - (4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d)*sinh(d*x + c)^2 - (a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d + 6*((a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*d*cosh(d*x + c)^5 + 5*(a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d*cosh(d*x + c)^4 + 2*(4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c)^3 + 2*(2*a^11 + 5*a^9*b^2 - 10*a^5*b^6 - 10*a^3*b^8 - 3*a*b^10)*d*cosh(d*x + c)^2 - (4*a^10*b + 15*a^8*b^3 + 20*a^6*b^5 + 10*a^4*b^7 - b^11)*d*cosh(d*x + c) + (a^9*b^2 + 4*a^7*b^4 + 6*a^5*b^6 + 4*a^3*b^8 + a*b^10)*d)*sinh(d*x + c))","B",0
105,0,0,0,0.491103," ","integrate((a+b*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \sinh\left(x\right)^{2} + 2 \, a b \sinh\left(x\right) + a^{2}\right)} \sqrt{b \sinh\left(x\right) + a}, x\right)"," ",0,"integral((b^2*sinh(x)^2 + 2*a*b*sinh(x) + a^2)*sqrt(b*sinh(x) + a), x)","F",0
106,0,0,0,0.620411," ","integrate((a+b*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \sinh\left(x\right) + a\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*sinh(x) + a)^(3/2), x)","F",0
107,0,0,0,0.831331," ","integrate((a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \sinh\left(x\right) + a}, x\right)"," ",0,"integral(sqrt(b*sinh(x) + a), x)","F",0
108,0,0,0,0.511583," ","integrate(1/(a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b \sinh\left(x\right) + a}}, x\right)"," ",0,"integral(1/sqrt(b*sinh(x) + a), x)","F",0
109,0,0,0,0.778502," ","integrate(1/(a+b*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(x\right) + a}}{b^{2} \sinh\left(x\right)^{2} + 2 \, a b \sinh\left(x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*sinh(x) + a)/(b^2*sinh(x)^2 + 2*a*b*sinh(x) + a^2), x)","F",0
110,0,0,0,0.840988," ","integrate(1/(a+b*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \sinh\left(x\right) + a}}{b^{3} \sinh\left(x\right)^{3} + 3 \, a b^{2} \sinh\left(x\right)^{2} + 3 \, a^{2} b \sinh\left(x\right) + a^{3}}, x\right)"," ",0,"integral(sqrt(b*sinh(x) + a)/(b^3*sinh(x)^3 + 3*a*b^2*sinh(x)^2 + 3*a^2*b*sinh(x) + a^3), x)","F",0
111,0,0,0,0.522893," ","integrate(sinh(x)/(a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(x\right)}{\sqrt{b \sinh\left(x\right) + a}}, x\right)"," ",0,"integral(sinh(x)/sqrt(b*sinh(x) + a), x)","F",0
112,1,125,0,0.483319," ","integrate((a+I*a*sinh(x))^(5/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","-\frac{1}{420} \, {\left(15 \, B a^{2} e^{\left(7 \, x\right)} + {\left(42 \, A - 105 i \, B\right)} a^{2} e^{\left(6 \, x\right)} + 35 \, {\left(-10 i \, A - 11 \, B\right)} a^{2} e^{\left(5 \, x\right)} - {\left(2100 \, A - 1575 i \, B\right)} a^{2} e^{\left(4 \, x\right)} + 525 \, {\left(-4 i \, A - 3 \, B\right)} a^{2} e^{\left(3 \, x\right)} - {\left(350 \, A - 385 i \, B\right)} a^{2} e^{\left(2 \, x\right)} + 21 \, {\left(2 i \, A + 5 \, B\right)} a^{2} e^{x} - 15 i \, B a^{2}\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} e^{\left(-3 \, x\right)}"," ",0,"-1/420*(15*B*a^2*e^(7*x) + (42*A - 105*I*B)*a^2*e^(6*x) + 35*(-10*I*A - 11*B)*a^2*e^(5*x) - (2100*A - 1575*I*B)*a^2*e^(4*x) + 525*(-4*I*A - 3*B)*a^2*e^(3*x) - (350*A - 385*I*B)*a^2*e^(2*x) + 21*(2*I*A + 5*B)*a^2*e^x - 15*I*B*a^2)*sqrt(1/2*I*a*e^(-x))*e^(-3*x)","A",0
113,1,80,0,0.667400," ","integrate((a+I*a*sinh(x))^(3/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","\frac{1}{30} \, {\left(3 i \, B a e^{\left(5 \, x\right)} - 5 \, {\left(-2 i \, A - 3 \, B\right)} a e^{\left(4 \, x\right)} + {\left(90 \, A - 60 i \, B\right)} a e^{\left(3 \, x\right)} - 30 \, {\left(-3 i \, A - 2 \, B\right)} a e^{\left(2 \, x\right)} + {\left(10 \, A - 15 i \, B\right)} a e^{x} - 3 \, B a\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} e^{\left(-2 \, x\right)}"," ",0,"1/30*(3*I*B*a*e^(5*x) - 5*(-2*I*A - 3*B)*a*e^(4*x) + (90*A - 60*I*B)*a*e^(3*x) - 30*(-3*I*A - 2*B)*a*e^(2*x) + (10*A - 15*I*B)*a*e^x - 3*B*a)*sqrt(1/2*I*a*e^(-x))*e^(-2*x)","A",0
114,1,48,0,0.402639," ","integrate((a+I*a*sinh(x))^(1/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(B e^{\left(3 \, x\right)} + {\left(6 \, A - 3 i \, B\right)} e^{\left(2 \, x\right)} - 3 \, {\left(-2 i \, A - B\right)} e^{x} - i \, B\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} e^{\left(-x\right)}"," ",0,"1/3*(B*e^(3*x) + (6*A - 3*I*B)*e^(2*x) - 3*(-2*I*A - B)*e^x - I*B)*sqrt(1/2*I*a*e^(-x))*e^(-x)","A",0
115,1,23,0,0.429806," ","integrate((A+B*sinh(x))/(I+sinh(x)),x, algorithm=""fricas"")","\frac{B x e^{x} + i \, B x - 2 \, A + 2 i \, B}{e^{x} + i}"," ",0,"(B*x*e^x + I*B*x - 2*A + 2*I*B)/(e^x + I)","A",0
116,1,46,0,0.459926," ","integrate((A+B*sinh(x))/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{6 \, B e^{\left(2 \, x\right)} + {\left(6 \, A + 6 i \, B\right)} e^{x} + 2 i \, A - 4 \, B}{3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i}"," ",0,"-(6*B*e^(2*x) + (6*A + 6*I*B)*e^x + 2*I*A - 4*B)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","A",0
117,1,71,0,0.565397," ","integrate((A+B*sinh(x))/(I+sinh(x))^3,x, algorithm=""fricas"")","-\frac{30 \, B e^{\left(3 \, x\right)} + {\left(40 \, A + 30 i \, B\right)} e^{\left(2 \, x\right)} + 10 \, {\left(2 i \, A - 3 \, B\right)} e^{x} - 4 \, A - 6 i \, B}{15 \, e^{\left(5 \, x\right)} + 75 i \, e^{\left(4 \, x\right)} - 150 \, e^{\left(3 \, x\right)} - 150 i \, e^{\left(2 \, x\right)} + 75 \, e^{x} + 15 i}"," ",0,"-(30*B*e^(3*x) + (40*A + 30*I*B)*e^(2*x) + 10*(2*I*A - 3*B)*e^x - 4*A - 6*I*B)/(15*e^(5*x) + 75*I*e^(4*x) - 150*e^(3*x) - 150*I*e^(2*x) + 75*e^x + 15*I)","A",0
118,1,96,0,0.507496," ","integrate((A+B*sinh(x))/(I+sinh(x))^4,x, algorithm=""fricas"")","-\frac{280 \, B e^{\left(4 \, x\right)} + {\left(420 \, A + 280 i \, B\right)} e^{\left(3 \, x\right)} + 84 \, {\left(3 i \, A - 4 \, B\right)} e^{\left(2 \, x\right)} - {\left(84 \, A + 112 i \, B\right)} e^{x} - 12 i \, A + 16 \, B}{105 \, e^{\left(7 \, x\right)} + 735 i \, e^{\left(6 \, x\right)} - 2205 \, e^{\left(5 \, x\right)} - 3675 i \, e^{\left(4 \, x\right)} + 3675 \, e^{\left(3 \, x\right)} + 2205 i \, e^{\left(2 \, x\right)} - 735 \, e^{x} - 105 i}"," ",0,"-(280*B*e^(4*x) + (420*A + 280*I*B)*e^(3*x) + 84*(3*I*A - 4*B)*e^(2*x) - (84*A + 112*I*B)*e^x - 12*I*A + 16*B)/(105*e^(7*x) + 735*I*e^(6*x) - 2205*e^(5*x) - 3675*I*e^(4*x) + 3675*e^(3*x) + 2205*I*e^(2*x) - 735*e^x - 105*I)","A",0
119,1,24,0,0.470216," ","integrate((A+B*sinh(x))/(I-sinh(x)),x, algorithm=""fricas"")","-\frac{B x e^{x} - i \, B x - 2 \, A - 2 i \, B}{e^{x} - i}"," ",0,"-(B*x*e^x - I*B*x - 2*A - 2*I*B)/(e^x - I)","A",0
120,1,46,0,0.465037," ","integrate((A+B*sinh(x))/(I-sinh(x))^2,x, algorithm=""fricas"")","-\frac{6 \, B e^{\left(2 \, x\right)} + {\left(6 \, A - 6 i \, B\right)} e^{x} - 2 i \, A - 4 \, B}{3 \, e^{\left(3 \, x\right)} - 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} + 3 i}"," ",0,"-(6*B*e^(2*x) + (6*A - 6*I*B)*e^x - 2*I*A - 4*B)/(3*e^(3*x) - 9*I*e^(2*x) - 9*e^x + 3*I)","A",0
121,1,70,0,0.623853," ","integrate((A+B*sinh(x))/(I-sinh(x))^3,x, algorithm=""fricas"")","\frac{30 \, B e^{\left(3 \, x\right)} + {\left(40 \, A - 30 i \, B\right)} e^{\left(2 \, x\right)} - 10 \, {\left(2 i \, A + 3 \, B\right)} e^{x} - 4 \, A + 6 i \, B}{15 \, e^{\left(5 \, x\right)} - 75 i \, e^{\left(4 \, x\right)} - 150 \, e^{\left(3 \, x\right)} + 150 i \, e^{\left(2 \, x\right)} + 75 \, e^{x} - 15 i}"," ",0,"(30*B*e^(3*x) + (40*A - 30*I*B)*e^(2*x) - 10*(2*I*A + 3*B)*e^x - 4*A + 6*I*B)/(15*e^(5*x) - 75*I*e^(4*x) - 150*e^(3*x) + 150*I*e^(2*x) + 75*e^x - 15*I)","A",0
122,1,96,0,0.577094," ","integrate((A+B*sinh(x))/(I-sinh(x))^4,x, algorithm=""fricas"")","-\frac{280 \, B e^{\left(4 \, x\right)} + {\left(420 \, A - 280 i \, B\right)} e^{\left(3 \, x\right)} + 84 \, {\left(-3 i \, A - 4 \, B\right)} e^{\left(2 \, x\right)} - {\left(84 \, A - 112 i \, B\right)} e^{x} + 12 i \, A + 16 \, B}{105 \, e^{\left(7 \, x\right)} - 735 i \, e^{\left(6 \, x\right)} - 2205 \, e^{\left(5 \, x\right)} + 3675 i \, e^{\left(4 \, x\right)} + 3675 \, e^{\left(3 \, x\right)} - 2205 i \, e^{\left(2 \, x\right)} - 735 \, e^{x} + 105 i}"," ",0,"-(280*B*e^(4*x) + (420*A - 280*I*B)*e^(3*x) + 84*(-3*I*A - 4*B)*e^(2*x) - (84*A - 112*I*B)*e^x + 12*I*A + 16*B)/(105*e^(7*x) - 735*I*e^(6*x) - 2205*e^(5*x) + 3675*I*e^(4*x) + 3675*e^(3*x) - 2205*I*e^(2*x) - 735*e^x + 105*I)","A",0
123,1,186,0,0.476575," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(1/2),x, algorithm=""fricas"")","\frac{a \sqrt{-\frac{8 \, A^{2} + 16 i \, A B - 8 \, B^{2}}{a}} \log\left(-\frac{4 \, \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, A - B\right)} + a \sqrt{-\frac{8 \, A^{2} + 16 i \, A B - 8 \, B^{2}}{a}}}{-4 i \, A + 4 \, B}\right) - a \sqrt{-\frac{8 \, A^{2} + 16 i \, A B - 8 \, B^{2}}{a}} \log\left(-\frac{4 \, \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, A - B\right)} - a \sqrt{-\frac{8 \, A^{2} + 16 i \, A B - 8 \, B^{2}}{a}}}{-4 i \, A + 4 \, B}\right) - 4 \, \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, B e^{x} - B\right)}}{2 \, a}"," ",0,"1/2*(a*sqrt(-(8*A^2 + 16*I*A*B - 8*B^2)/a)*log(-(4*sqrt(1/2*I*a*e^(-x))*(I*A - B) + a*sqrt(-(8*A^2 + 16*I*A*B - 8*B^2)/a))/(-4*I*A + 4*B)) - a*sqrt(-(8*A^2 + 16*I*A*B - 8*B^2)/a)*log(-(4*sqrt(1/2*I*a*e^(-x))*(I*A - B) - a*sqrt(-(8*A^2 + 16*I*A*B - 8*B^2)/a))/(-4*I*A + 4*B)) - 4*sqrt(1/2*I*a*e^(-x))*(I*B*e^x - B))/a","B",0
124,1,267,0,0.581978," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(a^{2} e^{\left(2 \, x\right)} - 2 i \, a^{2} e^{x} - a^{2}\right)} \sqrt{-\frac{A^{2} - 6 i \, A B - 9 \, B^{2}}{a^{3}}} \log\left(\frac{\sqrt{\frac{1}{2}} a^{2} \sqrt{-\frac{A^{2} - 6 i \, A B - 9 \, B^{2}}{a^{3}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, A + 3 \, B\right)}}{i \, A + 3 \, B}\right) - \sqrt{\frac{1}{2}} {\left(a^{2} e^{\left(2 \, x\right)} - 2 i \, a^{2} e^{x} - a^{2}\right)} \sqrt{-\frac{A^{2} - 6 i \, A B - 9 \, B^{2}}{a^{3}}} \log\left(-\frac{\sqrt{\frac{1}{2}} a^{2} \sqrt{-\frac{A^{2} - 6 i \, A B - 9 \, B^{2}}{a^{3}}} - \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(i \, A + 3 \, B\right)}}{i \, A + 3 \, B}\right) - {\left(2 \, {\left(i \, A - B\right)} e^{\left(2 \, x\right)} - {\left(2 \, A + 2 i \, B\right)} e^{x}\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}}}{2 \, {\left(a^{2} e^{\left(2 \, x\right)} - 2 i \, a^{2} e^{x} - a^{2}\right)}}"," ",0,"1/2*(sqrt(1/2)*(a^2*e^(2*x) - 2*I*a^2*e^x - a^2)*sqrt(-(A^2 - 6*I*A*B - 9*B^2)/a^3)*log((sqrt(1/2)*a^2*sqrt(-(A^2 - 6*I*A*B - 9*B^2)/a^3) + sqrt(1/2*I*a*e^(-x))*(I*A + 3*B))/(I*A + 3*B)) - sqrt(1/2)*(a^2*e^(2*x) - 2*I*a^2*e^x - a^2)*sqrt(-(A^2 - 6*I*A*B - 9*B^2)/a^3)*log(-(sqrt(1/2)*a^2*sqrt(-(A^2 - 6*I*A*B - 9*B^2)/a^3) - sqrt(1/2*I*a*e^(-x))*(I*A + 3*B))/(I*A + 3*B)) - (2*(I*A - B)*e^(2*x) - (2*A + 2*I*B)*e^x)*sqrt(1/2*I*a*e^(-x)))/(a^2*e^(2*x) - 2*I*a^2*e^x - a^2)","B",0
125,1,356,0,0.482079," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(4 \, a^{3} e^{\left(4 \, x\right)} - 16 i \, a^{3} e^{\left(3 \, x\right)} - 24 \, a^{3} e^{\left(2 \, x\right)} + 16 i \, a^{3} e^{x} + 4 \, a^{3}\right)} \sqrt{-\frac{9 \, A^{2} - 30 i \, A B - 25 \, B^{2}}{a^{5}}} \log\left(\frac{\sqrt{\frac{1}{2}} a^{3} \sqrt{-\frac{9 \, A^{2} - 30 i \, A B - 25 \, B^{2}}{a^{5}}} + \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(3 i \, A + 5 \, B\right)}}{3 i \, A + 5 \, B}\right) - \sqrt{\frac{1}{2}} {\left(4 \, a^{3} e^{\left(4 \, x\right)} - 16 i \, a^{3} e^{\left(3 \, x\right)} - 24 \, a^{3} e^{\left(2 \, x\right)} + 16 i \, a^{3} e^{x} + 4 \, a^{3}\right)} \sqrt{-\frac{9 \, A^{2} - 30 i \, A B - 25 \, B^{2}}{a^{5}}} \log\left(-\frac{\sqrt{\frac{1}{2}} a^{3} \sqrt{-\frac{9 \, A^{2} - 30 i \, A B - 25 \, B^{2}}{a^{5}}} - \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}} {\left(3 i \, A + 5 \, B\right)}}{3 i \, A + 5 \, B}\right) + 8 \, {\left({\left(-3 i \, A - 5 \, B\right)} e^{\left(4 \, x\right)} - {\left(11 \, A + 3 i \, B\right)} e^{\left(3 \, x\right)} + {\left(-11 i \, A + 3 \, B\right)} e^{\left(2 \, x\right)} - {\left(3 \, A - 5 i \, B\right)} e^{x}\right)} \sqrt{\frac{1}{2} i \, a e^{\left(-x\right)}}}{8 \, {\left(8 \, a^{3} e^{\left(4 \, x\right)} - 32 i \, a^{3} e^{\left(3 \, x\right)} - 48 \, a^{3} e^{\left(2 \, x\right)} + 32 i \, a^{3} e^{x} + 8 \, a^{3}\right)}}"," ",0,"1/8*(sqrt(1/2)*(4*a^3*e^(4*x) - 16*I*a^3*e^(3*x) - 24*a^3*e^(2*x) + 16*I*a^3*e^x + 4*a^3)*sqrt(-(9*A^2 - 30*I*A*B - 25*B^2)/a^5)*log((sqrt(1/2)*a^3*sqrt(-(9*A^2 - 30*I*A*B - 25*B^2)/a^5) + sqrt(1/2*I*a*e^(-x))*(3*I*A + 5*B))/(3*I*A + 5*B)) - sqrt(1/2)*(4*a^3*e^(4*x) - 16*I*a^3*e^(3*x) - 24*a^3*e^(2*x) + 16*I*a^3*e^x + 4*a^3)*sqrt(-(9*A^2 - 30*I*A*B - 25*B^2)/a^5)*log(-(sqrt(1/2)*a^3*sqrt(-(9*A^2 - 30*I*A*B - 25*B^2)/a^5) - sqrt(1/2*I*a*e^(-x))*(3*I*A + 5*B))/(3*I*A + 5*B)) + 8*((-3*I*A - 5*B)*e^(4*x) - (11*A + 3*I*B)*e^(3*x) + (-11*I*A + 3*B)*e^(2*x) - (3*A - 5*I*B)*e^x)*sqrt(1/2*I*a*e^(-x)))/(8*a^3*e^(4*x) - 32*I*a^3*e^(3*x) - 48*a^3*e^(2*x) + 32*I*a^3*e^x + 8*a^3)","B",0
126,0,0,0,0.715060," ","integrate((a+b*sinh(x))^(5/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B b^{2} \sinh\left(x\right)^{3} + A a^{2} + {\left(2 \, B a b + A b^{2}\right)} \sinh\left(x\right)^{2} + {\left(B a^{2} + 2 \, A a b\right)} \sinh\left(x\right)\right)} \sqrt{b \sinh\left(x\right) + a}, x\right)"," ",0,"integral((B*b^2*sinh(x)^3 + A*a^2 + (2*B*a*b + A*b^2)*sinh(x)^2 + (B*a^2 + 2*A*a*b)*sinh(x))*sqrt(b*sinh(x) + a), x)","F",0
127,0,0,0,0.507619," ","integrate((a+b*sinh(x))^(3/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B b \sinh\left(x\right)^{2} + A a + {\left(B a + A b\right)} \sinh\left(x\right)\right)} \sqrt{b \sinh\left(x\right) + a}, x\right)"," ",0,"integral((B*b*sinh(x)^2 + A*a + (B*a + A*b)*sinh(x))*sqrt(b*sinh(x) + a), x)","F",0
128,0,0,0,0.500255," ","integrate((a+b*sinh(x))^(1/2)*(A+B*sinh(x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(B \sinh\left(x\right) + A\right)} \sqrt{b \sinh\left(x\right) + a}, x\right)"," ",0,"integral((B*sinh(x) + A)*sqrt(b*sinh(x) + a), x)","F",0
129,1,147,0,0.740440," ","integrate((A+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(B a - A b\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(B a^{2} + B b^{2}\right)} x}{a^{2} b + b^{3}}"," ",0,"-((B*a - A*b)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (B*a^2 + B*b^2)*x)/(a^2*b + b^3)","B",0
130,1,444,0,0.603389," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, B a^{3} b - 2 \, A a^{2} b^{2} + 2 \, B a b^{3} - 2 \, A b^{4} - {\left(A a b^{2} + B b^{3} - {\left(A a b^{2} + B b^{3}\right)} \cosh\left(x\right)^{2} - {\left(A a b^{2} + B b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(A a^{2} b + B a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(A a^{2} b + B a b^{2} + {\left(A a b^{2} + B b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(B a^{4} - A a^{3} b + B a^{2} b^{2} - A a b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(B a^{4} - A a^{3} b + B a^{2} b^{2} - A a b^{3}\right)} \sinh\left(x\right)}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*B*a^3*b - 2*A*a^2*b^2 + 2*B*a*b^3 - 2*A*b^4 - (A*a*b^2 + B*b^3 - (A*a*b^2 + B*b^3)*cosh(x)^2 - (A*a*b^2 + B*b^3)*sinh(x)^2 - 2*(A*a^2*b + B*a*b^2)*cosh(x) - 2*(A*a^2*b + B*a*b^2 + (A*a*b^2 + B*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(B*a^4 - A*a^3*b + B*a^2*b^2 - A*a*b^3)*cosh(x) - 2*(B*a^4 - A*a^3*b + B*a^2*b^2 - A*a*b^3)*sinh(x))/(a^4*b^2 + 2*a^2*b^4 + b^6 - (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x)^2 - (a^4*b^2 + 2*a^2*b^4 + b^6)*sinh(x)^2 - 2*(a^5*b + 2*a^3*b^3 + a*b^5)*cosh(x) - 2*(a^5*b + 2*a^3*b^3 + a*b^5 + (a^4*b^2 + 2*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
131,1,1614,0,1.002503," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, B a^{4} b^{2} - 6 \, A a^{3} b^{3} - 2 \, B a^{2} b^{4} - 6 \, A a b^{5} - 4 \, B b^{6} - 2 \, {\left(2 \, A a^{4} b^{2} + 3 \, B a^{3} b^{3} + A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, A a^{4} b^{2} + 3 \, B a^{3} b^{3} + A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b - 3 \, B a^{4} b^{2} - 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} + 2 \, B b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b - 3 \, B a^{4} b^{2} - 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} + 2 \, B b^{6} - 3 \, {\left(2 \, A a^{4} b^{2} + 3 \, B a^{3} b^{3} + A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5} + {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4} + {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{4} b + 6 \, B a^{3} b^{2} - 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, A a^{4} b + 6 \, B a^{3} b^{2} - 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} + 3 \, {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 4 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} \cosh\left(x\right) - 4 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4} - {\left(2 \, A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(2 \, A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(4 \, A a^{4} b + 6 \, B a^{3} b^{2} - 4 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} - B a^{3} b^{3} - 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(4 \, B a^{5} b - 10 \, A a^{4} b^{2} - B a^{3} b^{3} - 11 \, A a^{2} b^{4} - 5 \, B a b^{5} - A b^{6} + 3 \, {\left(2 \, A a^{4} b^{2} + 3 \, B a^{3} b^{3} + A a^{2} b^{4} + 3 \, B a b^{5} - A b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, B a^{6} - 6 \, A a^{5} b - 3 \, B a^{4} b^{2} - 3 \, A a^{3} b^{3} - 3 \, B a^{2} b^{4} + 3 \, A a b^{5} + 2 \, B b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9} + {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8} + {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{8} b + 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} - a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{8} b + 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} - a^{2} b^{7} - b^{9} + 3 \, {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 4 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right) - 4 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8} - {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{8} b + 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} - a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*B*a^4*b^2 - 6*A*a^3*b^3 - 2*B*a^2*b^4 - 6*A*a*b^5 - 4*B*b^6 - 2*(2*A*a^4*b^2 + 3*B*a^3*b^3 + A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^3 - 2*(2*A*a^4*b^2 + 3*B*a^3*b^3 + A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*sinh(x)^3 + 2*(2*B*a^6 - 6*A*a^5*b - 3*B*a^4*b^2 - 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 + 2*B*b^6)*cosh(x)^2 + 2*(2*B*a^6 - 6*A*a^5*b - 3*B*a^4*b^2 - 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 + 2*B*b^6 - 3*(2*A*a^4*b^2 + 3*B*a^3*b^3 + A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x))*sinh(x)^2 + (2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5 + (2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*cosh(x)^4 + (2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*sinh(x)^4 + 4*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*cosh(x)^3 + 4*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4 + (2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*cosh(x))*sinh(x)^3 + 2*(4*A*a^4*b + 6*B*a^3*b^2 - 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x)^2 + 2*(4*A*a^4*b + 6*B*a^3*b^2 - 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + 3*(2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*cosh(x)^2 + 6*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*cosh(x))*sinh(x)^2 - 4*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*cosh(x) - 4*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4 - (2*A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*cosh(x)^3 - 3*(2*A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*cosh(x)^2 - (4*A*a^4*b + 6*B*a^3*b^2 - 4*A*a^2*b^3 - 3*B*a*b^4 + A*b^5)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(4*B*a^5*b - 10*A*a^4*b^2 - B*a^3*b^3 - 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6)*cosh(x) - 2*(4*B*a^5*b - 10*A*a^4*b^2 - B*a^3*b^3 - 11*A*a^2*b^4 - 5*B*a*b^5 - A*b^6 + 3*(2*A*a^4*b^2 + 3*B*a^3*b^3 + A*a^2*b^4 + 3*B*a*b^5 - A*b^6)*cosh(x)^2 - 2*(2*B*a^6 - 6*A*a^5*b - 3*B*a^4*b^2 - 3*A*a^3*b^3 - 3*B*a^2*b^4 + 3*A*a*b^5 + 2*B*b^6)*cosh(x))*sinh(x))/(a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9 + (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*cosh(x)^4 + (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*sinh(x)^4 + 4*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*cosh(x)^3 + 4*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8 + (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*cosh(x))*sinh(x)^3 + 2*(2*a^8*b + 5*a^6*b^3 + 3*a^4*b^5 - a^2*b^7 - b^9)*cosh(x)^2 + 2*(2*a^8*b + 5*a^6*b^3 + 3*a^4*b^5 - a^2*b^7 - b^9 + 3*(a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*cosh(x)^2 + 6*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^2 - 4*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*cosh(x) - 4*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8 - (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*cosh(x)^3 - 3*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*cosh(x)^2 - (2*a^8*b + 5*a^6*b^3 + 3*a^4*b^5 - a^2*b^7 - b^9)*cosh(x))*sinh(x))","B",0
132,1,3870,0,0.843140," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^4,x, algorithm=""fricas"")","-\frac{4 \, B a^{5} b^{3} - 22 \, A a^{4} b^{4} - 22 \, B a^{3} b^{5} - 14 \, A a^{2} b^{6} - 26 \, B a b^{7} + 8 \, A b^{8} + 6 \, {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \sinh\left(x\right)^{5} + 30 \, {\left(2 \, A a^{6} b^{2} + 4 \, B a^{5} b^{3} - A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} - B a b^{7}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(2 \, A a^{6} b^{2} + 4 \, B a^{5} b^{3} - A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} - B a b^{7} + {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b - 28 \, B a^{6} b^{2} + 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} + 39 \, B a^{2} b^{6} - 12 \, A a b^{7}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b - 28 \, B a^{6} b^{2} + 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} + 39 \, B a^{2} b^{6} - 12 \, A a b^{7} - 15 \, {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right)^{2} - 30 \, {\left(2 \, A a^{6} b^{2} + 4 \, B a^{5} b^{3} - A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} - B a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} - 13 \, B a^{5} b^{3} - 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} + 4 \, B a b^{7} - 2 \, A b^{8}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} - 13 \, B a^{5} b^{3} - 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} + 4 \, B a b^{7} - 2 \, A b^{8} + 5 \, {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(2 \, A a^{6} b^{2} + 4 \, B a^{5} b^{3} - A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} - B a b^{7}\right)} \cosh\left(x\right)^{2} - {\left(4 \, B a^{8} - 22 \, A a^{7} b - 28 \, B a^{6} b^{2} + 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} + 39 \, B a^{2} b^{6} - 12 \, A a b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7} - {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{6} - {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \sinh\left(x\right)^{6} - 6 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7} + 5 \, {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(4 \, A a^{6} b + 8 \, B a^{5} b^{2} - 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} + 3 \, B a b^{6}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(4 \, A a^{6} b + 8 \, B a^{5} b^{2} - 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} + 3 \, B a b^{6} + 5 \, {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7} - 5 \, {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, A a^{6} b + 8 \, B a^{5} b^{2} - 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} + 3 \, B a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 6 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right) - 6 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6} + {\left(2 \, A a^{3} b^{4} + 4 \, B a^{2} b^{5} - 3 \, A a b^{6} - B b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(2 \, A a^{4} b^{3} + 4 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5} - B a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, A a^{6} b + 8 \, B a^{5} b^{2} - 12 \, A a^{4} b^{3} - 14 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} + 3 \, B a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(8 \, A a^{5} b^{2} + 16 \, B a^{4} b^{3} - 14 \, A a^{3} b^{4} - 8 \, B a^{2} b^{5} + 3 \, A a b^{6} + B b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} - 18 \, B a^{4} b^{4} - 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right) - 6 \, {\left(4 \, B a^{6} b^{2} - 20 \, A a^{5} b^{3} - 18 \, B a^{4} b^{4} - 15 \, A a^{3} b^{5} - 23 \, B a^{2} b^{6} + 5 \, A a b^{7} - B b^{8} - 5 \, {\left(2 \, A a^{5} b^{3} + 4 \, B a^{4} b^{4} - A a^{3} b^{5} + 3 \, B a^{2} b^{6} - 3 \, A a b^{7} - B b^{8}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, A a^{6} b^{2} + 4 \, B a^{5} b^{3} - A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 3 \, A a^{2} b^{6} - B a b^{7}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, B a^{8} - 22 \, A a^{7} b - 28 \, B a^{6} b^{2} + 19 \, A a^{5} b^{3} + 7 \, B a^{4} b^{4} + 29 \, A a^{3} b^{5} + 39 \, B a^{2} b^{6} - 12 \, A a b^{7}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, B a^{7} b - 17 \, A a^{6} b^{2} - 13 \, B a^{5} b^{3} - 11 \, A a^{4} b^{4} - 13 \, B a^{3} b^{5} + 4 \, A a^{2} b^{6} + 4 \, B a b^{7} - 2 \, A b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12} - {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{6} - {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12} + 5 \, {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(2 \, a^{11} b + 5 \, a^{9} b^{3} - 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} - 3 \, a b^{11}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(2 \, a^{11} b + 5 \, a^{9} b^{3} - 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} - 3 \, a b^{11} + 5 \, {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12} - 5 \, {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{11} b + 5 \, a^{9} b^{3} - 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} - 3 \, a b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 6 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right) - 6 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11} + {\left(a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} b^{3} + 4 \, a^{7} b^{5} + 6 \, a^{5} b^{7} + 4 \, a^{3} b^{9} + a b^{11}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{11} b + 5 \, a^{9} b^{3} - 10 \, a^{5} b^{7} - 10 \, a^{3} b^{9} - 3 \, a b^{11}\right)} \cosh\left(x\right)^{2} - {\left(4 \, a^{10} b^{2} + 15 \, a^{8} b^{4} + 20 \, a^{6} b^{6} + 10 \, a^{4} b^{8} - b^{12}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/6*(4*B*a^5*b^3 - 22*A*a^4*b^4 - 22*B*a^3*b^5 - 14*A*a^2*b^6 - 26*B*a*b^7 + 8*A*b^8 + 6*(2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*cosh(x)^5 + 6*(2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*sinh(x)^5 + 30*(2*A*a^6*b^2 + 4*B*a^5*b^3 - A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 - B*a*b^7)*cosh(x)^4 + 30*(2*A*a^6*b^2 + 4*B*a^5*b^3 - A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 - B*a*b^7 + (2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*cosh(x))*sinh(x)^4 - 4*(4*B*a^8 - 22*A*a^7*b - 28*B*a^6*b^2 + 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 + 39*B*a^2*b^6 - 12*A*a*b^7)*cosh(x)^3 - 4*(4*B*a^8 - 22*A*a^7*b - 28*B*a^6*b^2 + 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 + 39*B*a^2*b^6 - 12*A*a*b^7 - 15*(2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*cosh(x)^2 - 30*(2*A*a^6*b^2 + 4*B*a^5*b^3 - A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 - B*a*b^7)*cosh(x))*sinh(x)^3 + 12*(4*B*a^7*b - 17*A*a^6*b^2 - 13*B*a^5*b^3 - 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 + 4*B*a*b^7 - 2*A*b^8)*cosh(x)^2 + 12*(4*B*a^7*b - 17*A*a^6*b^2 - 13*B*a^5*b^3 - 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 + 4*B*a*b^7 - 2*A*b^8 + 5*(2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*cosh(x)^3 + 15*(2*A*a^6*b^2 + 4*B*a^5*b^3 - A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 - B*a*b^7)*cosh(x)^2 - (4*B*a^8 - 22*A*a^7*b - 28*B*a^6*b^2 + 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 + 39*B*a^2*b^6 - 12*A*a*b^7)*cosh(x))*sinh(x)^2 + 3*(2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7 - (2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x)^6 - (2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*sinh(x)^6 - 6*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^5 - 6*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x))*sinh(x)^5 - 3*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x)^4 - 3*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7 + 5*(2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x)^2 + 10*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x))*sinh(x)^4 - 4*(4*A*a^6*b + 8*B*a^5*b^2 - 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 + 3*B*a*b^6)*cosh(x)^3 - 4*(4*A*a^6*b + 8*B*a^5*b^2 - 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 + 3*B*a*b^6 + 5*(2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x)^3 + 15*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^2 + 3*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x))*sinh(x)^3 + 3*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x)^2 + 3*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7 - 5*(2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x)^4 - 20*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^3 - 6*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x)^2 - 4*(4*A*a^6*b + 8*B*a^5*b^2 - 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 + 3*B*a*b^6)*cosh(x))*sinh(x)^2 - 6*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x) - 6*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6 + (2*A*a^3*b^4 + 4*B*a^2*b^5 - 3*A*a*b^6 - B*b^7)*cosh(x)^5 + 5*(2*A*a^4*b^3 + 4*B*a^3*b^4 - 3*A*a^2*b^5 - B*a*b^6)*cosh(x)^4 + 2*(8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x)^3 + 2*(4*A*a^6*b + 8*B*a^5*b^2 - 12*A*a^4*b^3 - 14*B*a^3*b^4 + 9*A*a^2*b^5 + 3*B*a*b^6)*cosh(x)^2 - (8*A*a^5*b^2 + 16*B*a^4*b^3 - 14*A*a^3*b^4 - 8*B*a^2*b^5 + 3*A*a*b^6 + B*b^7)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 - 18*B*a^4*b^4 - 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 - B*b^8)*cosh(x) - 6*(4*B*a^6*b^2 - 20*A*a^5*b^3 - 18*B*a^4*b^4 - 15*A*a^3*b^5 - 23*B*a^2*b^6 + 5*A*a*b^7 - B*b^8 - 5*(2*A*a^5*b^3 + 4*B*a^4*b^4 - A*a^3*b^5 + 3*B*a^2*b^6 - 3*A*a*b^7 - B*b^8)*cosh(x)^4 - 20*(2*A*a^6*b^2 + 4*B*a^5*b^3 - A*a^4*b^4 + 3*B*a^3*b^5 - 3*A*a^2*b^6 - B*a*b^7)*cosh(x)^3 + 2*(4*B*a^8 - 22*A*a^7*b - 28*B*a^6*b^2 + 19*A*a^5*b^3 + 7*B*a^4*b^4 + 29*A*a^3*b^5 + 39*B*a^2*b^6 - 12*A*a*b^7)*cosh(x)^2 - 4*(4*B*a^7*b - 17*A*a^6*b^2 - 13*B*a^5*b^3 - 11*A*a^4*b^4 - 13*B*a^3*b^5 + 4*A*a^2*b^6 + 4*B*a*b^7 - 2*A*b^8)*cosh(x))*sinh(x))/(a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12 - (a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x)^6 - (a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*sinh(x)^6 - 6*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x)^5 - 6*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11 + (a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x))*sinh(x)^5 - 3*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x)^4 - 3*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12 + 5*(a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x)^2 + 10*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x))*sinh(x)^4 - 4*(2*a^11*b + 5*a^9*b^3 - 10*a^5*b^7 - 10*a^3*b^9 - 3*a*b^11)*cosh(x)^3 - 4*(2*a^11*b + 5*a^9*b^3 - 10*a^5*b^7 - 10*a^3*b^9 - 3*a*b^11 + 5*(a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x)^3 + 15*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x)^2 + 3*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x))*sinh(x)^3 + 3*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x)^2 + 3*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12 - 5*(a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x)^4 - 20*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x)^3 - 6*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x)^2 - 4*(2*a^11*b + 5*a^9*b^3 - 10*a^5*b^7 - 10*a^3*b^9 - 3*a*b^11)*cosh(x))*sinh(x)^2 - 6*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x) - 6*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11 + (a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12)*cosh(x)^5 + 5*(a^9*b^3 + 4*a^7*b^5 + 6*a^5*b^7 + 4*a^3*b^9 + a*b^11)*cosh(x)^4 + 2*(4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x)^3 + 2*(2*a^11*b + 5*a^9*b^3 - 10*a^5*b^7 - 10*a^3*b^9 - 3*a*b^11)*cosh(x)^2 - (4*a^10*b^2 + 15*a^8*b^4 + 20*a^6*b^6 + 10*a^4*b^8 - b^12)*cosh(x))*sinh(x))","B",0
133,1,154,0,0.800912," ","integrate((b*B/a+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(B a^{2} - B b^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(B a^{3} + B a b^{2}\right)} x}{a^{3} b + a b^{3}}"," ",0,"-((B*a^2 - B*b^2)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (B*a^3 + B*a*b^2)*x)/(a^3*b + a*b^3)","B",0
134,1,6,0,0.511373," ","integrate((a*B/b+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{B x}{b}"," ",0,"B*x/b","A",0
135,1,58,0,0.442011," ","integrate((a-b*sinh(x))/(b+a*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right) - a\right)}}{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) - a^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}"," ",0,"2*(b*cosh(x) + b*sinh(x) - a)/(a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) - a^2 + 2*(a^2*cosh(x) + a*b)*sinh(x))","B",0
136,1,42,0,0.865682," ","integrate((2-sinh(x))/(2+sinh(x)),x, algorithm=""fricas"")","\frac{4}{5} \, \sqrt{5} \log\left(-\frac{{\left(2 \, \sqrt{5} - 5\right)} \cosh\left(x\right) - 2 \, {\left(\sqrt{5} - 2\right)} \sinh\left(x\right) + \sqrt{5} - 2}{\sinh\left(x\right) + 2}\right) - x"," ",0,"4/5*sqrt(5)*log(-((2*sqrt(5) - 5)*cosh(x) - 2*(sqrt(5) - 2)*sinh(x) + sqrt(5) - 2)/(sinh(x) + 2)) - x","A",0
137,0,0,0,0.895299," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \sinh\left(x\right) + A}{\sqrt{b \sinh\left(x\right) + a}}, x\right)"," ",0,"integral((B*sinh(x) + A)/sqrt(b*sinh(x) + a), x)","F",0
138,0,0,0,0.565174," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B \sinh\left(x\right) + A\right)} \sqrt{b \sinh\left(x\right) + a}}{b^{2} \sinh\left(x\right)^{2} + 2 \, a b \sinh\left(x\right) + a^{2}}, x\right)"," ",0,"integral((B*sinh(x) + A)*sqrt(b*sinh(x) + a)/(b^2*sinh(x)^2 + 2*a*b*sinh(x) + a^2), x)","F",0
139,0,0,0,0.467237," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B \sinh\left(x\right) + A\right)} \sqrt{b \sinh\left(x\right) + a}}{b^{3} \sinh\left(x\right)^{3} + 3 \, a b^{2} \sinh\left(x\right)^{2} + 3 \, a^{2} b \sinh\left(x\right) + a^{3}}, x\right)"," ",0,"integral((B*sinh(x) + A)*sqrt(b*sinh(x) + a)/(b^3*sinh(x)^3 + 3*a*b^2*sinh(x)^2 + 3*a^2*b*sinh(x) + a^3), x)","F",0
140,1,511,0,0.650038," ","integrate((a*sinh(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(30 \, a^{2} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{9} + 3 \, a^{2} e^{x} \sinh\left(x\right)^{10} + 5 \, {\left(27 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{8} + 40 \, {\left(9 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{7} + 10 \, {\left(63 \, a^{2} \cosh\left(x\right)^{4} - 70 \, a^{2} \cosh\left(x\right)^{2} + 15 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{6} + 4 \, {\left(189 \, a^{2} \cosh\left(x\right)^{5} - 350 \, a^{2} \cosh\left(x\right)^{3} + 225 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 10 \, {\left(63 \, a^{2} \cosh\left(x\right)^{6} - 175 \, a^{2} \cosh\left(x\right)^{4} + 225 \, a^{2} \cosh\left(x\right)^{2} + 15 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{4} + 40 \, {\left(9 \, a^{2} \cosh\left(x\right)^{7} - 35 \, a^{2} \cosh\left(x\right)^{5} + 75 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 5 \, {\left(27 \, a^{2} \cosh\left(x\right)^{8} - 140 \, a^{2} \cosh\left(x\right)^{6} + 450 \, a^{2} \cosh\left(x\right)^{4} + 180 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{x} \sinh\left(x\right)^{2} + 10 \, {\left(3 \, a^{2} \cosh\left(x\right)^{9} - 20 \, a^{2} \cosh\left(x\right)^{7} + 90 \, a^{2} \cosh\left(x\right)^{5} + 60 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{10} - 25 \, a^{2} \cosh\left(x\right)^{8} + 150 \, a^{2} \cosh\left(x\right)^{6} + 150 \, a^{2} \cosh\left(x\right)^{4} - 25 \, a^{2} \cosh\left(x\right)^{2} + 3 \, a^{2}\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{480 \, {\left(\cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{5} - \cosh\left(x\right)^{5} + 5 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(\cosh\left(x\right)^{2} e^{\left(2 \, x\right)} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(\cosh\left(x\right)^{3} e^{\left(2 \, x\right)} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{2} + 5 \, {\left(\cosh\left(x\right)^{4} e^{\left(2 \, x\right)} - \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/480*(30*a^2*cosh(x)*e^x*sinh(x)^9 + 3*a^2*e^x*sinh(x)^10 + 5*(27*a^2*cosh(x)^2 - 5*a^2)*e^x*sinh(x)^8 + 40*(9*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^x*sinh(x)^7 + 10*(63*a^2*cosh(x)^4 - 70*a^2*cosh(x)^2 + 15*a^2)*e^x*sinh(x)^6 + 4*(189*a^2*cosh(x)^5 - 350*a^2*cosh(x)^3 + 225*a^2*cosh(x))*e^x*sinh(x)^5 + 10*(63*a^2*cosh(x)^6 - 175*a^2*cosh(x)^4 + 225*a^2*cosh(x)^2 + 15*a^2)*e^x*sinh(x)^4 + 40*(9*a^2*cosh(x)^7 - 35*a^2*cosh(x)^5 + 75*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^x*sinh(x)^3 + 5*(27*a^2*cosh(x)^8 - 140*a^2*cosh(x)^6 + 450*a^2*cosh(x)^4 + 180*a^2*cosh(x)^2 - 5*a^2)*e^x*sinh(x)^2 + 10*(3*a^2*cosh(x)^9 - 20*a^2*cosh(x)^7 + 90*a^2*cosh(x)^5 + 60*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^x*sinh(x) + (3*a^2*cosh(x)^10 - 25*a^2*cosh(x)^8 + 150*a^2*cosh(x)^6 + 150*a^2*cosh(x)^4 - 25*a^2*cosh(x)^2 + 3*a^2)*e^x)*sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)^5*e^(2*x) + (e^(2*x) - 1)*sinh(x)^5 - cosh(x)^5 + 5*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^4 + 10*(cosh(x)^2*e^(2*x) - cosh(x)^2)*sinh(x)^3 + 10*(cosh(x)^3*e^(2*x) - cosh(x)^3)*sinh(x)^2 + 5*(cosh(x)^4*e^(2*x) - cosh(x)^4)*sinh(x))","B",0
141,1,226,0,0.746676," ","integrate((a*sinh(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a \cosh\left(x\right) e^{x} \sinh\left(x\right)^{5} + a e^{x} \sinh\left(x\right)^{6} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} - 3 \, a\right)} e^{x} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} - 9 \, a \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} - 18 \, a \cosh\left(x\right)^{2} - 3 \, a\right)} e^{x} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} - 6 \, a \cosh\left(x\right)^{3} - 3 \, a \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(a \cosh\left(x\right)^{6} - 9 \, a \cosh\left(x\right)^{4} - 9 \, a \cosh\left(x\right)^{2} + a\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{24 \, {\left(\cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{3} - \cosh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{2} e^{\left(2 \, x\right)} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/24*(6*a*cosh(x)*e^x*sinh(x)^5 + a*e^x*sinh(x)^6 + 3*(5*a*cosh(x)^2 - 3*a)*e^x*sinh(x)^4 + 4*(5*a*cosh(x)^3 - 9*a*cosh(x))*e^x*sinh(x)^3 + 3*(5*a*cosh(x)^4 - 18*a*cosh(x)^2 - 3*a)*e^x*sinh(x)^2 + 6*(a*cosh(x)^5 - 6*a*cosh(x)^3 - 3*a*cosh(x))*e^x*sinh(x) + (a*cosh(x)^6 - 9*a*cosh(x)^4 - 9*a*cosh(x)^2 + a)*e^x)*sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)^3*e^(2*x) + (e^(2*x) - 1)*sinh(x)^3 - cosh(x)^3 + 3*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^2 + 3*(cosh(x)^2*e^(2*x) - cosh(x)^2)*sinh(x))","B",0
142,1,71,0,0.462671," ","integrate((a*sinh(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, \cosh\left(x\right) e^{x} \sinh\left(x\right) + e^{x} \sinh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{x}\right)} \sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)\right)}}"," ",0,"1/2*(2*cosh(x)*e^x*sinh(x) + e^x*sinh(x)^2 + (cosh(x)^2 + 1)*e^x)*sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*e^(-x)/(cosh(x)*e^(2*x) + (e^(2*x) - 1)*sinh(x) - cosh(x))","B",0
143,1,110,0,0.795035," ","integrate(1/(a*sinh(x)^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) + 1}\right)}{a e^{\left(2 \, x\right)} - a}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} \sqrt{-a}}{a \cosh\left(x\right) e^{\left(2 \, x\right)} - a \cosh\left(x\right) + {\left(a e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)}\right)}{a}\right]"," ",0,"[sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*log((cosh(x) + sinh(x) - 1)/(cosh(x) + sinh(x) + 1))/(a*e^(2*x) - a), 2*sqrt(-a)*arctan(sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*sqrt(-a)/(a*cosh(x)*e^(2*x) - a*cosh(x) + (a*e^(2*x) - a)*sinh(x)))/a]","B",0
144,1,327,0,0.586977," ","integrate(1/(a*sinh(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(6 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{2} + 2 \, e^{x} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{x} \sinh\left(x\right) + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{x} - {\left(4 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{3} + e^{x} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) + 1}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right)\right)} \sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{2 \, {\left(a^{2} \cosh\left(x\right)^{4} - {\left(a^{2} e^{\left(2 \, x\right)} - a^{2}\right)} \sinh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2} - {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + a^{2} - {\left(a^{2} \cosh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) - {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(6*cosh(x)*e^x*sinh(x)^2 + 2*e^x*sinh(x)^3 + 2*(3*cosh(x)^2 + 1)*e^x*sinh(x) + 2*(cosh(x)^3 + cosh(x))*e^x - (4*cosh(x)*e^x*sinh(x)^3 + e^x*sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*e^x*sinh(x)^2 + 4*(cosh(x)^3 - cosh(x))*e^x*sinh(x) + (cosh(x)^4 - 2*cosh(x)^2 + 1)*e^x)*log((cosh(x) + sinh(x) + 1)/(cosh(x) + sinh(x) - 1)))*sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*e^(-x)/(a^2*cosh(x)^4 - (a^2*e^(2*x) - a^2)*sinh(x)^4 - 2*a^2*cosh(x)^2 - 4*(a^2*cosh(x)*e^(2*x) - a^2*cosh(x))*sinh(x)^3 + 2*(3*a^2*cosh(x)^2 - a^2 - (3*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^2 + a^2 - (a^2*cosh(x)^4 - 2*a^2*cosh(x)^2 + a^2)*e^(2*x) + 4*(a^2*cosh(x)^3 - a^2*cosh(x) - (a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x))","B",0
145,1,875,0,0.572729," ","integrate(1/(a*sinh(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(42 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{6} + 6 \, e^{x} \sinh\left(x\right)^{7} + 2 \, {\left(63 \, \cosh\left(x\right)^{2} - 11\right)} e^{x} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{3} - 11 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{4} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} - 110 \, \cosh\left(x\right)^{2} - 11\right)} e^{x} \sinh\left(x\right)^{3} + 2 \, {\left(63 \, \cosh\left(x\right)^{5} - 110 \, \cosh\left(x\right)^{3} - 33 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{2} + 2 \, {\left(21 \, \cosh\left(x\right)^{6} - 55 \, \cosh\left(x\right)^{4} - 33 \, \cosh\left(x\right)^{2} + 3\right)} e^{x} \sinh\left(x\right) + 2 \, {\left(3 \, \cosh\left(x\right)^{7} - 11 \, \cosh\left(x\right)^{5} - 11 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{x} + 3 \, {\left(8 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{7} + e^{x} \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 30 \, \cosh\left(x\right)^{2} + 3\right)} e^{x} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{8} - 4 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) + 1}\right)\right)} \sqrt{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a} e^{\left(-x\right)}}{8 \, {\left(a^{3} \cosh\left(x\right)^{8} - 4 \, a^{3} \cosh\left(x\right)^{6} - {\left(a^{3} e^{\left(2 \, x\right)} - a^{3}\right)} \sinh\left(x\right)^{8} - 8 \, {\left(a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 6 \, a^{3} \cosh\left(x\right)^{4} + 4 \, {\left(7 \, a^{3} \cosh\left(x\right)^{2} - a^{3} - {\left(7 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right) - {\left(7 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} - 4 \, a^{3} \cosh\left(x\right)^{2} + 2 \, {\left(35 \, a^{3} \cosh\left(x\right)^{4} - 30 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3} - {\left(35 \, a^{3} \cosh\left(x\right)^{4} - 30 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{3} \cosh\left(x\right)^{5} - 10 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) - {\left(7 \, a^{3} \cosh\left(x\right)^{5} - 10 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + a^{3} + 4 \, {\left(7 \, a^{3} \cosh\left(x\right)^{6} - 15 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} - a^{3} - {\left(7 \, a^{3} \cosh\left(x\right)^{6} - 15 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} - {\left(a^{3} \cosh\left(x\right)^{8} - 4 \, a^{3} \cosh\left(x\right)^{6} + 6 \, a^{3} \cosh\left(x\right)^{4} - 4 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)} + 8 \, {\left(a^{3} \cosh\left(x\right)^{7} - 3 \, a^{3} \cosh\left(x\right)^{5} + 3 \, a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right) - {\left(a^{3} \cosh\left(x\right)^{7} - 3 \, a^{3} \cosh\left(x\right)^{5} + 3 \, a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/8*(42*cosh(x)*e^x*sinh(x)^6 + 6*e^x*sinh(x)^7 + 2*(63*cosh(x)^2 - 11)*e^x*sinh(x)^5 + 10*(21*cosh(x)^3 - 11*cosh(x))*e^x*sinh(x)^4 + 2*(105*cosh(x)^4 - 110*cosh(x)^2 - 11)*e^x*sinh(x)^3 + 2*(63*cosh(x)^5 - 110*cosh(x)^3 - 33*cosh(x))*e^x*sinh(x)^2 + 2*(21*cosh(x)^6 - 55*cosh(x)^4 - 33*cosh(x)^2 + 3)*e^x*sinh(x) + 2*(3*cosh(x)^7 - 11*cosh(x)^5 - 11*cosh(x)^3 + 3*cosh(x))*e^x + 3*(8*cosh(x)*e^x*sinh(x)^7 + e^x*sinh(x)^8 + 4*(7*cosh(x)^2 - 1)*e^x*sinh(x)^6 + 8*(7*cosh(x)^3 - 3*cosh(x))*e^x*sinh(x)^5 + 2*(35*cosh(x)^4 - 30*cosh(x)^2 + 3)*e^x*sinh(x)^4 + 8*(7*cosh(x)^5 - 10*cosh(x)^3 + 3*cosh(x))*e^x*sinh(x)^3 + 4*(7*cosh(x)^6 - 15*cosh(x)^4 + 9*cosh(x)^2 - 1)*e^x*sinh(x)^2 + 8*(cosh(x)^7 - 3*cosh(x)^5 + 3*cosh(x)^3 - cosh(x))*e^x*sinh(x) + (cosh(x)^8 - 4*cosh(x)^6 + 6*cosh(x)^4 - 4*cosh(x)^2 + 1)*e^x)*log((cosh(x) + sinh(x) - 1)/(cosh(x) + sinh(x) + 1)))*sqrt(a*e^(4*x) - 2*a*e^(2*x) + a)*e^(-x)/(a^3*cosh(x)^8 - 4*a^3*cosh(x)^6 - (a^3*e^(2*x) - a^3)*sinh(x)^8 - 8*(a^3*cosh(x)*e^(2*x) - a^3*cosh(x))*sinh(x)^7 + 6*a^3*cosh(x)^4 + 4*(7*a^3*cosh(x)^2 - a^3 - (7*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^6 + 8*(7*a^3*cosh(x)^3 - 3*a^3*cosh(x) - (7*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(2*x))*sinh(x)^5 - 4*a^3*cosh(x)^2 + 2*(35*a^3*cosh(x)^4 - 30*a^3*cosh(x)^2 + 3*a^3 - (35*a^3*cosh(x)^4 - 30*a^3*cosh(x)^2 + 3*a^3)*e^(2*x))*sinh(x)^4 + 8*(7*a^3*cosh(x)^5 - 10*a^3*cosh(x)^3 + 3*a^3*cosh(x) - (7*a^3*cosh(x)^5 - 10*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^3 + a^3 + 4*(7*a^3*cosh(x)^6 - 15*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 - a^3 - (7*a^3*cosh(x)^6 - 15*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^2 - (a^3*cosh(x)^8 - 4*a^3*cosh(x)^6 + 6*a^3*cosh(x)^4 - 4*a^3*cosh(x)^2 + a^3)*e^(2*x) + 8*(a^3*cosh(x)^7 - 3*a^3*cosh(x)^5 + 3*a^3*cosh(x)^3 - a^3*cosh(x) - (a^3*cosh(x)^7 - 3*a^3*cosh(x)^5 + 3*a^3*cosh(x)^3 - a^3*cosh(x))*e^(2*x))*sinh(x))","B",0
146,0,0,0,0.455005," ","integrate((a*sinh(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sinh\left(x\right)^{3}} a^{2} \sinh\left(x\right)^{6}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3)*a^2*sinh(x)^6, x)","F",0
147,0,0,0,0.467631," ","integrate((a*sinh(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sinh\left(x\right)^{3}} a \sinh\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3)*a*sinh(x)^3, x)","F",0
148,0,0,0,0.827250," ","integrate((a*sinh(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \sinh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3), x)","F",0
149,0,0,0,0.558503," ","integrate(1/(a*sinh(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sinh\left(x\right)^{3}}}{a \sinh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3)/(a*sinh(x)^3), x)","F",0
150,0,0,0,0.943140," ","integrate(1/(a*sinh(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sinh\left(x\right)^{3}}}{a^{2} \sinh\left(x\right)^{6}}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3)/(a^2*sinh(x)^6), x)","F",0
151,0,0,0,0.420180," ","integrate(1/(a*sinh(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \sinh\left(x\right)^{3}}}{a^{3} \sinh\left(x\right)^{9}}, x\right)"," ",0,"integral(sqrt(a*sinh(x)^3)/(a^3*sinh(x)^9), x)","F",0
152,1,1597,0,0.575541," ","integrate((a*sinh(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(40 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{19} + 2 \, a^{2} e^{\left(2 \, x\right)} \sinh\left(x\right)^{20} + 5 \, {\left(76 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{18} + 30 \, {\left(76 \, a^{2} \cosh\left(x\right)^{3} - 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{17} + 15 \, {\left(646 \, a^{2} \cosh\left(x\right)^{4} - 255 \, a^{2} \cosh\left(x\right)^{2} + 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{16} + 48 \, {\left(646 \, a^{2} \cosh\left(x\right)^{5} - 425 \, a^{2} \cosh\left(x\right)^{3} + 50 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{15} + 60 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{6} - 1275 \, a^{2} \cosh\left(x\right)^{4} + 300 \, a^{2} \cosh\left(x\right)^{2} - 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{14} + 120 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{7} - 1785 \, a^{2} \cosh\left(x\right)^{5} + 700 \, a^{2} \cosh\left(x\right)^{3} - 70 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{13} + 60 \, {\left(4199 \, a^{2} \cosh\left(x\right)^{8} - 7735 \, a^{2} \cosh\left(x\right)^{6} + 4550 \, a^{2} \cosh\left(x\right)^{4} - 910 \, a^{2} \cosh\left(x\right)^{2} + 35 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 80 \, {\left(4199 \, a^{2} \cosh\left(x\right)^{9} - 9945 \, a^{2} \cosh\left(x\right)^{7} + 8190 \, a^{2} \cosh\left(x\right)^{5} - 2730 \, a^{2} \cosh\left(x\right)^{3} + 315 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + 2 \, {\left(184756 \, a^{2} \cosh\left(x\right)^{10} - 546975 \, a^{2} \cosh\left(x\right)^{8} + 600600 \, a^{2} \cosh\left(x\right)^{6} - 300300 \, a^{2} \cosh\left(x\right)^{4} + 69300 \, a^{2} \cosh\left(x\right)^{2} - 2520 \, a^{2} x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 20 \, {\left(16796 \, a^{2} \cosh\left(x\right)^{11} - 60775 \, a^{2} \cosh\left(x\right)^{9} + 85800 \, a^{2} \cosh\left(x\right)^{7} - 60060 \, a^{2} \cosh\left(x\right)^{5} + 23100 \, a^{2} \cosh\left(x\right)^{3} - 2520 \, a^{2} x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 30 \, {\left(8398 \, a^{2} \cosh\left(x\right)^{12} - 36465 \, a^{2} \cosh\left(x\right)^{10} + 64350 \, a^{2} \cosh\left(x\right)^{8} - 60060 \, a^{2} \cosh\left(x\right)^{6} + 34650 \, a^{2} \cosh\left(x\right)^{4} - 7560 \, a^{2} x \cosh\left(x\right)^{2} - 70 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 240 \, {\left(646 \, a^{2} \cosh\left(x\right)^{13} - 3315 \, a^{2} \cosh\left(x\right)^{11} + 7150 \, a^{2} \cosh\left(x\right)^{9} - 8580 \, a^{2} \cosh\left(x\right)^{7} + 6930 \, a^{2} \cosh\left(x\right)^{5} - 2520 \, a^{2} x \cosh\left(x\right)^{3} - 70 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 60 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{14} - 7735 \, a^{2} \cosh\left(x\right)^{12} + 20020 \, a^{2} \cosh\left(x\right)^{10} - 30030 \, a^{2} \cosh\left(x\right)^{8} + 32340 \, a^{2} \cosh\left(x\right)^{6} - 17640 \, a^{2} x \cosh\left(x\right)^{4} - 980 \, a^{2} \cosh\left(x\right)^{2} + 10 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 24 \, {\left(1292 \, a^{2} \cosh\left(x\right)^{15} - 8925 \, a^{2} \cosh\left(x\right)^{13} + 27300 \, a^{2} \cosh\left(x\right)^{11} - 50050 \, a^{2} \cosh\left(x\right)^{9} + 69300 \, a^{2} \cosh\left(x\right)^{7} - 52920 \, a^{2} x \cosh\left(x\right)^{5} - 4900 \, a^{2} \cosh\left(x\right)^{3} + 150 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 30 \, {\left(323 \, a^{2} \cosh\left(x\right)^{16} - 2550 \, a^{2} \cosh\left(x\right)^{14} + 9100 \, a^{2} \cosh\left(x\right)^{12} - 20020 \, a^{2} \cosh\left(x\right)^{10} + 34650 \, a^{2} \cosh\left(x\right)^{8} - 35280 \, a^{2} x \cosh\left(x\right)^{6} - 4900 \, a^{2} \cosh\left(x\right)^{4} + 300 \, a^{2} \cosh\left(x\right)^{2} - 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 120 \, {\left(19 \, a^{2} \cosh\left(x\right)^{17} - 170 \, a^{2} \cosh\left(x\right)^{15} + 700 \, a^{2} \cosh\left(x\right)^{13} - 1820 \, a^{2} \cosh\left(x\right)^{11} + 3850 \, a^{2} \cosh\left(x\right)^{9} - 5040 \, a^{2} x \cosh\left(x\right)^{7} - 980 \, a^{2} \cosh\left(x\right)^{5} + 100 \, a^{2} \cosh\left(x\right)^{3} - 5 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 5 \, {\left(76 \, a^{2} \cosh\left(x\right)^{18} - 765 \, a^{2} \cosh\left(x\right)^{16} + 3600 \, a^{2} \cosh\left(x\right)^{14} - 10920 \, a^{2} \cosh\left(x\right)^{12} + 27720 \, a^{2} \cosh\left(x\right)^{10} - 45360 \, a^{2} x \cosh\left(x\right)^{8} - 11760 \, a^{2} \cosh\left(x\right)^{6} + 1800 \, a^{2} \cosh\left(x\right)^{4} - 180 \, a^{2} \cosh\left(x\right)^{2} + 5 \, a^{2}\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 10 \, {\left(4 \, a^{2} \cosh\left(x\right)^{19} - 45 \, a^{2} \cosh\left(x\right)^{17} + 240 \, a^{2} \cosh\left(x\right)^{15} - 840 \, a^{2} \cosh\left(x\right)^{13} + 2520 \, a^{2} \cosh\left(x\right)^{11} - 5040 \, a^{2} x \cosh\left(x\right)^{9} - 1680 \, a^{2} \cosh\left(x\right)^{7} + 360 \, a^{2} \cosh\left(x\right)^{5} - 60 \, a^{2} \cosh\left(x\right)^{3} + 5 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(2 \, a^{2} \cosh\left(x\right)^{20} - 25 \, a^{2} \cosh\left(x\right)^{18} + 150 \, a^{2} \cosh\left(x\right)^{16} - 600 \, a^{2} \cosh\left(x\right)^{14} + 2100 \, a^{2} \cosh\left(x\right)^{12} - 5040 \, a^{2} x \cosh\left(x\right)^{10} - 2100 \, a^{2} \cosh\left(x\right)^{8} + 600 \, a^{2} \cosh\left(x\right)^{6} - 150 \, a^{2} \cosh\left(x\right)^{4} + 25 \, a^{2} \cosh\left(x\right)^{2} - 2 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{20480 \, {\left(\cosh\left(x\right)^{10} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{10} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{10} + \cosh\left(x\right)^{10} + 10 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 45 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 120 \, {\left(\cosh\left(x\right)^{3} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{7} + 210 \, {\left(\cosh\left(x\right)^{4} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)^{6} + 252 \, {\left(\cosh\left(x\right)^{5} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{5}\right)} \sinh\left(x\right)^{5} + 210 \, {\left(\cosh\left(x\right)^{6} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{6}\right)} \sinh\left(x\right)^{4} + 120 \, {\left(\cosh\left(x\right)^{7} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{7} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{7}\right)} \sinh\left(x\right)^{3} + 45 \, {\left(\cosh\left(x\right)^{8} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{8} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{8}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{9} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{9}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/20480*(40*a^2*cosh(x)*e^(2*x)*sinh(x)^19 + 2*a^2*e^(2*x)*sinh(x)^20 + 5*(76*a^2*cosh(x)^2 - 5*a^2)*e^(2*x)*sinh(x)^18 + 30*(76*a^2*cosh(x)^3 - 15*a^2*cosh(x))*e^(2*x)*sinh(x)^17 + 15*(646*a^2*cosh(x)^4 - 255*a^2*cosh(x)^2 + 10*a^2)*e^(2*x)*sinh(x)^16 + 48*(646*a^2*cosh(x)^5 - 425*a^2*cosh(x)^3 + 50*a^2*cosh(x))*e^(2*x)*sinh(x)^15 + 60*(1292*a^2*cosh(x)^6 - 1275*a^2*cosh(x)^4 + 300*a^2*cosh(x)^2 - 10*a^2)*e^(2*x)*sinh(x)^14 + 120*(1292*a^2*cosh(x)^7 - 1785*a^2*cosh(x)^5 + 700*a^2*cosh(x)^3 - 70*a^2*cosh(x))*e^(2*x)*sinh(x)^13 + 60*(4199*a^2*cosh(x)^8 - 7735*a^2*cosh(x)^6 + 4550*a^2*cosh(x)^4 - 910*a^2*cosh(x)^2 + 35*a^2)*e^(2*x)*sinh(x)^12 + 80*(4199*a^2*cosh(x)^9 - 9945*a^2*cosh(x)^7 + 8190*a^2*cosh(x)^5 - 2730*a^2*cosh(x)^3 + 315*a^2*cosh(x))*e^(2*x)*sinh(x)^11 + 2*(184756*a^2*cosh(x)^10 - 546975*a^2*cosh(x)^8 + 600600*a^2*cosh(x)^6 - 300300*a^2*cosh(x)^4 + 69300*a^2*cosh(x)^2 - 2520*a^2*x)*e^(2*x)*sinh(x)^10 + 20*(16796*a^2*cosh(x)^11 - 60775*a^2*cosh(x)^9 + 85800*a^2*cosh(x)^7 - 60060*a^2*cosh(x)^5 + 23100*a^2*cosh(x)^3 - 2520*a^2*x*cosh(x))*e^(2*x)*sinh(x)^9 + 30*(8398*a^2*cosh(x)^12 - 36465*a^2*cosh(x)^10 + 64350*a^2*cosh(x)^8 - 60060*a^2*cosh(x)^6 + 34650*a^2*cosh(x)^4 - 7560*a^2*x*cosh(x)^2 - 70*a^2)*e^(2*x)*sinh(x)^8 + 240*(646*a^2*cosh(x)^13 - 3315*a^2*cosh(x)^11 + 7150*a^2*cosh(x)^9 - 8580*a^2*cosh(x)^7 + 6930*a^2*cosh(x)^5 - 2520*a^2*x*cosh(x)^3 - 70*a^2*cosh(x))*e^(2*x)*sinh(x)^7 + 60*(1292*a^2*cosh(x)^14 - 7735*a^2*cosh(x)^12 + 20020*a^2*cosh(x)^10 - 30030*a^2*cosh(x)^8 + 32340*a^2*cosh(x)^6 - 17640*a^2*x*cosh(x)^4 - 980*a^2*cosh(x)^2 + 10*a^2)*e^(2*x)*sinh(x)^6 + 24*(1292*a^2*cosh(x)^15 - 8925*a^2*cosh(x)^13 + 27300*a^2*cosh(x)^11 - 50050*a^2*cosh(x)^9 + 69300*a^2*cosh(x)^7 - 52920*a^2*x*cosh(x)^5 - 4900*a^2*cosh(x)^3 + 150*a^2*cosh(x))*e^(2*x)*sinh(x)^5 + 30*(323*a^2*cosh(x)^16 - 2550*a^2*cosh(x)^14 + 9100*a^2*cosh(x)^12 - 20020*a^2*cosh(x)^10 + 34650*a^2*cosh(x)^8 - 35280*a^2*x*cosh(x)^6 - 4900*a^2*cosh(x)^4 + 300*a^2*cosh(x)^2 - 5*a^2)*e^(2*x)*sinh(x)^4 + 120*(19*a^2*cosh(x)^17 - 170*a^2*cosh(x)^15 + 700*a^2*cosh(x)^13 - 1820*a^2*cosh(x)^11 + 3850*a^2*cosh(x)^9 - 5040*a^2*x*cosh(x)^7 - 980*a^2*cosh(x)^5 + 100*a^2*cosh(x)^3 - 5*a^2*cosh(x))*e^(2*x)*sinh(x)^3 + 5*(76*a^2*cosh(x)^18 - 765*a^2*cosh(x)^16 + 3600*a^2*cosh(x)^14 - 10920*a^2*cosh(x)^12 + 27720*a^2*cosh(x)^10 - 45360*a^2*x*cosh(x)^8 - 11760*a^2*cosh(x)^6 + 1800*a^2*cosh(x)^4 - 180*a^2*cosh(x)^2 + 5*a^2)*e^(2*x)*sinh(x)^2 + 10*(4*a^2*cosh(x)^19 - 45*a^2*cosh(x)^17 + 240*a^2*cosh(x)^15 - 840*a^2*cosh(x)^13 + 2520*a^2*cosh(x)^11 - 5040*a^2*x*cosh(x)^9 - 1680*a^2*cosh(x)^7 + 360*a^2*cosh(x)^5 - 60*a^2*cosh(x)^3 + 5*a^2*cosh(x))*e^(2*x)*sinh(x) + (2*a^2*cosh(x)^20 - 25*a^2*cosh(x)^18 + 150*a^2*cosh(x)^16 - 600*a^2*cosh(x)^14 + 2100*a^2*cosh(x)^12 - 5040*a^2*x*cosh(x)^10 - 2100*a^2*cosh(x)^8 + 600*a^2*cosh(x)^6 - 150*a^2*cosh(x)^4 + 25*a^2*cosh(x)^2 - 2*a^2)*e^(2*x))*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^10*e^(4*x) - 2*cosh(x)^10*e^(2*x) + (e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^10 + cosh(x)^10 + 10*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^9 + 45*(cosh(x)^2*e^(4*x) - 2*cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^8 + 120*(cosh(x)^3*e^(4*x) - 2*cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^7 + 210*(cosh(x)^4*e^(4*x) - 2*cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x)^6 + 252*(cosh(x)^5*e^(4*x) - 2*cosh(x)^5*e^(2*x) + cosh(x)^5)*sinh(x)^5 + 210*(cosh(x)^6*e^(4*x) - 2*cosh(x)^6*e^(2*x) + cosh(x)^6)*sinh(x)^4 + 120*(cosh(x)^7*e^(4*x) - 2*cosh(x)^7*e^(2*x) + cosh(x)^7)*sinh(x)^3 + 45*(cosh(x)^8*e^(4*x) - 2*cosh(x)^8*e^(2*x) + cosh(x)^8)*sinh(x)^2 + 10*(cosh(x)^9*e^(4*x) - 2*cosh(x)^9*e^(2*x) + cosh(x)^9)*sinh(x))","B",0
153,1,659,0,0.638433," ","integrate((a*sinh(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left(12 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + a e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 3 \, {\left(22 \, a \cosh\left(x\right)^{2} - 3 \, a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 10 \, {\left(22 \, a \cosh\left(x\right)^{3} - 9 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 45 \, {\left(11 \, a \cosh\left(x\right)^{4} - 9 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 72 \, {\left(11 \, a \cosh\left(x\right)^{5} - 15 \, a \cosh\left(x\right)^{3} + 5 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 6 \, {\left(154 \, a \cosh\left(x\right)^{6} - 315 \, a \cosh\left(x\right)^{4} + 210 \, a \cosh\left(x\right)^{2} - 20 \, a x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 36 \, {\left(22 \, a \cosh\left(x\right)^{7} - 63 \, a \cosh\left(x\right)^{5} + 70 \, a \cosh\left(x\right)^{3} - 20 \, a x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 45 \, {\left(11 \, a \cosh\left(x\right)^{8} - 42 \, a \cosh\left(x\right)^{6} + 70 \, a \cosh\left(x\right)^{4} - 40 \, a x \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 20 \, {\left(11 \, a \cosh\left(x\right)^{9} - 54 \, a \cosh\left(x\right)^{7} + 126 \, a \cosh\left(x\right)^{5} - 120 \, a x \cosh\left(x\right)^{3} - 9 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 3 \, {\left(22 \, a \cosh\left(x\right)^{10} - 135 \, a \cosh\left(x\right)^{8} + 420 \, a \cosh\left(x\right)^{6} - 600 \, a x \cosh\left(x\right)^{4} - 90 \, a \cosh\left(x\right)^{2} + 3 \, a\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 6 \, {\left(2 \, a \cosh\left(x\right)^{11} - 15 \, a \cosh\left(x\right)^{9} + 60 \, a \cosh\left(x\right)^{7} - 120 \, a x \cosh\left(x\right)^{5} - 30 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(a \cosh\left(x\right)^{12} - 9 \, a \cosh\left(x\right)^{10} + 45 \, a \cosh\left(x\right)^{8} - 120 \, a x \cosh\left(x\right)^{6} - 45 \, a \cosh\left(x\right)^{4} + 9 \, a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{384 \, {\left(\cosh\left(x\right)^{6} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{6} + \cosh\left(x\right)^{6} + 6 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(\cosh\left(x\right)^{3} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{3} + 15 \, {\left(\cosh\left(x\right)^{4} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} + \cosh\left(x\right)^{5}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/384*(12*a*cosh(x)*e^(2*x)*sinh(x)^11 + a*e^(2*x)*sinh(x)^12 + 3*(22*a*cosh(x)^2 - 3*a)*e^(2*x)*sinh(x)^10 + 10*(22*a*cosh(x)^3 - 9*a*cosh(x))*e^(2*x)*sinh(x)^9 + 45*(11*a*cosh(x)^4 - 9*a*cosh(x)^2 + a)*e^(2*x)*sinh(x)^8 + 72*(11*a*cosh(x)^5 - 15*a*cosh(x)^3 + 5*a*cosh(x))*e^(2*x)*sinh(x)^7 + 6*(154*a*cosh(x)^6 - 315*a*cosh(x)^4 + 210*a*cosh(x)^2 - 20*a*x)*e^(2*x)*sinh(x)^6 + 36*(22*a*cosh(x)^7 - 63*a*cosh(x)^5 + 70*a*cosh(x)^3 - 20*a*x*cosh(x))*e^(2*x)*sinh(x)^5 + 45*(11*a*cosh(x)^8 - 42*a*cosh(x)^6 + 70*a*cosh(x)^4 - 40*a*x*cosh(x)^2 - a)*e^(2*x)*sinh(x)^4 + 20*(11*a*cosh(x)^9 - 54*a*cosh(x)^7 + 126*a*cosh(x)^5 - 120*a*x*cosh(x)^3 - 9*a*cosh(x))*e^(2*x)*sinh(x)^3 + 3*(22*a*cosh(x)^10 - 135*a*cosh(x)^8 + 420*a*cosh(x)^6 - 600*a*x*cosh(x)^4 - 90*a*cosh(x)^2 + 3*a)*e^(2*x)*sinh(x)^2 + 6*(2*a*cosh(x)^11 - 15*a*cosh(x)^9 + 60*a*cosh(x)^7 - 120*a*x*cosh(x)^5 - 30*a*cosh(x)^3 + 3*a*cosh(x))*e^(2*x)*sinh(x) + (a*cosh(x)^12 - 9*a*cosh(x)^10 + 45*a*cosh(x)^8 - 120*a*x*cosh(x)^6 - 45*a*cosh(x)^4 + 9*a*cosh(x)^2 - a)*e^(2*x))*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^6*e^(4*x) - 2*cosh(x)^6*e^(2*x) + (e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^6 + cosh(x)^6 + 6*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^5 + 15*(cosh(x)^2*e^(4*x) - 2*cosh(x)^2*e^(2*x) + cosh(x)^2)*sinh(x)^4 + 20*(cosh(x)^3*e^(4*x) - 2*cosh(x)^3*e^(2*x) + cosh(x)^3)*sinh(x)^3 + 15*(cosh(x)^4*e^(4*x) - 2*cosh(x)^4*e^(2*x) + cosh(x)^4)*sinh(x)^2 + 6*(cosh(x)^5*e^(4*x) - 2*cosh(x)^5*e^(2*x) + cosh(x)^5)*sinh(x))","B",0
154,1,180,0,0.539401," ","integrate((a*sinh(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(4 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 2 \, x\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} - 4 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{8 \, {\left(\cosh\left(x\right)^{2} e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*(4*cosh(x)*e^(2*x)*sinh(x)^3 + e^(2*x)*sinh(x)^4 + 2*(3*cosh(x)^2 - 2*x)*e^(2*x)*sinh(x)^2 + 4*(cosh(x)^3 - 2*x*cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^4 - 4*x*cosh(x)^2 - 1)*e^(2*x))*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)*e^(-2*x)/(cosh(x)^2*e^(4*x) - 2*cosh(x)^2*e^(2*x) + (e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + 2*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x))","B",0
155,1,122,0,0.485114," ","integrate(1/(a*sinh(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a}}{a \cosh\left(x\right)^{2} + {\left(a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{2} + {\left(a \cosh\left(x\right)^{2} - a\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} + 2 \, {\left(a \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - a}"," ",0,"-2*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)/(a*cosh(x)^2 + (a*e^(4*x) - 2*a*e^(2*x) + a)*sinh(x)^2 + (a*cosh(x)^2 - a)*e^(4*x) - 2*(a*cosh(x)^2 - a)*e^(2*x) + 2*(a*cosh(x)*e^(4*x) - 2*a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x) - a)","B",0
156,1,1163,0,0.438330," ","integrate(1/(a*sinh(x)^4)^(3/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(40 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 10 \, e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 5 \, {\left(12 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 10 \, {\left(4 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(10 \, \cosh\left(x\right)^{4} - 5 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{15 \, {\left(a^{2} \cosh\left(x\right)^{10} + {\left(a^{2} e^{\left(4 \, x\right)} - 2 \, a^{2} e^{\left(2 \, x\right)} + a^{2}\right)} \sinh\left(x\right)^{10} - 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, {\left(a^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 5 \, {\left(9 \, a^{2} \cosh\left(x\right)^{2} - a^{2} + {\left(9 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(9 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} + 40 \, {\left(3 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, a^{2} \cosh\left(x\right)^{4} - 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(21 \, a^{2} \cosh\left(x\right)^{4} - 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(21 \, a^{2} \cosh\left(x\right)^{4} - 14 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} - 10 \, a^{2} \cosh\left(x\right)^{4} + 4 \, {\left(63 \, a^{2} \cosh\left(x\right)^{5} - 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right) + {\left(63 \, a^{2} \cosh\left(x\right)^{5} - 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(63 \, a^{2} \cosh\left(x\right)^{5} - 70 \, a^{2} \cosh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, a^{2} \cosh\left(x\right)^{6} - 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} - a^{2} + {\left(21 \, a^{2} \cosh\left(x\right)^{6} - 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(21 \, a^{2} \cosh\left(x\right)^{6} - 35 \, a^{2} \cosh\left(x\right)^{4} + 15 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, a^{2} \cosh\left(x\right)^{7} - 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) + {\left(3 \, a^{2} \cosh\left(x\right)^{7} - 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{7} - 7 \, a^{2} \cosh\left(x\right)^{5} + 5 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, a^{2} \cosh\left(x\right)^{8} - 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} - 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(9 \, a^{2} \cosh\left(x\right)^{8} - 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} - 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(9 \, a^{2} \cosh\left(x\right)^{8} - 28 \, a^{2} \cosh\left(x\right)^{6} + 30 \, a^{2} \cosh\left(x\right)^{4} - 12 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} - a^{2} + {\left(a^{2} \cosh\left(x\right)^{10} - 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} - 10 \, a^{2} \cosh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a^{2} \cosh\left(x\right)^{10} - 5 \, a^{2} \cosh\left(x\right)^{8} + 10 \, a^{2} \cosh\left(x\right)^{6} - 10 \, a^{2} \cosh\left(x\right)^{4} + 5 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)} + 10 \, {\left(a^{2} \cosh\left(x\right)^{9} - 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} - 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right) + {\left(a^{2} \cosh\left(x\right)^{9} - 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} - 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a^{2} \cosh\left(x\right)^{9} - 4 \, a^{2} \cosh\left(x\right)^{7} + 6 \, a^{2} \cosh\left(x\right)^{5} - 4 \, a^{2} \cosh\left(x\right)^{3} + a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"-16/15*(40*cosh(x)*e^(2*x)*sinh(x)^3 + 10*e^(2*x)*sinh(x)^4 + 5*(12*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^2 + 10*(4*cosh(x)^3 - cosh(x))*e^(2*x)*sinh(x) + (10*cosh(x)^4 - 5*cosh(x)^2 + 1)*e^(2*x))*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)*e^(-2*x)/(a^2*cosh(x)^10 + (a^2*e^(4*x) - 2*a^2*e^(2*x) + a^2)*sinh(x)^10 - 5*a^2*cosh(x)^8 + 10*(a^2*cosh(x)*e^(4*x) - 2*a^2*cosh(x)*e^(2*x) + a^2*cosh(x))*sinh(x)^9 + 5*(9*a^2*cosh(x)^2 - a^2 + (9*a^2*cosh(x)^2 - a^2)*e^(4*x) - 2*(9*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^8 + 10*a^2*cosh(x)^6 + 40*(3*a^2*cosh(x)^3 - a^2*cosh(x) + (3*a^2*cosh(x)^3 - a^2*cosh(x))*e^(4*x) - 2*(3*a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x)^7 + 10*(21*a^2*cosh(x)^4 - 14*a^2*cosh(x)^2 + a^2 + (21*a^2*cosh(x)^4 - 14*a^2*cosh(x)^2 + a^2)*e^(4*x) - 2*(21*a^2*cosh(x)^4 - 14*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^6 - 10*a^2*cosh(x)^4 + 4*(63*a^2*cosh(x)^5 - 70*a^2*cosh(x)^3 + 15*a^2*cosh(x) + (63*a^2*cosh(x)^5 - 70*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^(4*x) - 2*(63*a^2*cosh(x)^5 - 70*a^2*cosh(x)^3 + 15*a^2*cosh(x))*e^(2*x))*sinh(x)^5 + 10*(21*a^2*cosh(x)^6 - 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 - a^2 + (21*a^2*cosh(x)^6 - 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 - a^2)*e^(4*x) - 2*(21*a^2*cosh(x)^6 - 35*a^2*cosh(x)^4 + 15*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^4 + 5*a^2*cosh(x)^2 + 40*(3*a^2*cosh(x)^7 - 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 - a^2*cosh(x) + (3*a^2*cosh(x)^7 - 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 - a^2*cosh(x))*e^(4*x) - 2*(3*a^2*cosh(x)^7 - 7*a^2*cosh(x)^5 + 5*a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x)^3 + 5*(9*a^2*cosh(x)^8 - 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 - 12*a^2*cosh(x)^2 + a^2 + (9*a^2*cosh(x)^8 - 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 - 12*a^2*cosh(x)^2 + a^2)*e^(4*x) - 2*(9*a^2*cosh(x)^8 - 28*a^2*cosh(x)^6 + 30*a^2*cosh(x)^4 - 12*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^2 - a^2 + (a^2*cosh(x)^10 - 5*a^2*cosh(x)^8 + 10*a^2*cosh(x)^6 - 10*a^2*cosh(x)^4 + 5*a^2*cosh(x)^2 - a^2)*e^(4*x) - 2*(a^2*cosh(x)^10 - 5*a^2*cosh(x)^8 + 10*a^2*cosh(x)^6 - 10*a^2*cosh(x)^4 + 5*a^2*cosh(x)^2 - a^2)*e^(2*x) + 10*(a^2*cosh(x)^9 - 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 - 4*a^2*cosh(x)^3 + a^2*cosh(x) + (a^2*cosh(x)^9 - 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 - 4*a^2*cosh(x)^3 + a^2*cosh(x))*e^(4*x) - 2*(a^2*cosh(x)^9 - 4*a^2*cosh(x)^7 + 6*a^2*cosh(x)^5 - 4*a^2*cosh(x)^3 + a^2*cosh(x))*e^(2*x))*sinh(x))","B",0
157,1,3093,0,0.824267," ","integrate(1/(a*sinh(x)^4)^(5/2),x, algorithm=""fricas"")","-\frac{256 \, {\left(1008 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 126 \, e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 84 \, {\left(42 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 504 \, {\left(14 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 36 \, {\left(245 \, \cosh\left(x\right)^{4} - 35 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 48 \, {\left(147 \, \cosh\left(x\right)^{5} - 35 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 9 \, {\left(392 \, \cosh\left(x\right)^{6} - 140 \, \cosh\left(x\right)^{4} + 24 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 18 \, {\left(56 \, \cosh\left(x\right)^{7} - 28 \, \cosh\left(x\right)^{5} + 8 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(126 \, \cosh\left(x\right)^{8} - 84 \, \cosh\left(x\right)^{6} + 36 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}\right)} \sqrt{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a} e^{\left(-2 \, x\right)}}{315 \, {\left(a^{3} \cosh\left(x\right)^{18} - 9 \, a^{3} \cosh\left(x\right)^{16} + {\left(a^{3} e^{\left(4 \, x\right)} - 2 \, a^{3} e^{\left(2 \, x\right)} + a^{3}\right)} \sinh\left(x\right)^{18} + 18 \, {\left(a^{3} \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{17} + 36 \, a^{3} \cosh\left(x\right)^{14} + 9 \, {\left(17 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(17 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{16} + 48 \, {\left(17 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{15} - 84 \, a^{3} \cosh\left(x\right)^{12} + 36 \, {\left(85 \, a^{3} \cosh\left(x\right)^{4} - 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(85 \, a^{3} \cosh\left(x\right)^{4} - 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(85 \, a^{3} \cosh\left(x\right)^{4} - 30 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{14} + 504 \, {\left(17 \, a^{3} \cosh\left(x\right)^{5} - 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{5} - 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{5} - 10 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{13} + 126 \, a^{3} \cosh\left(x\right)^{10} + 84 \, {\left(221 \, a^{3} \cosh\left(x\right)^{6} - 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(221 \, a^{3} \cosh\left(x\right)^{6} - 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{6} - 195 \, a^{3} \cosh\left(x\right)^{4} + 39 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{12} + 144 \, {\left(221 \, a^{3} \cosh\left(x\right)^{7} - 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right) + {\left(221 \, a^{3} \cosh\left(x\right)^{7} - 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{7} - 273 \, a^{3} \cosh\left(x\right)^{5} + 91 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{11} - 126 \, a^{3} \cosh\left(x\right)^{8} + 18 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{8} - 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} - 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3} + {\left(2431 \, a^{3} \cosh\left(x\right)^{8} - 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} - 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{8} - 4004 \, a^{3} \cosh\left(x\right)^{6} + 2002 \, a^{3} \cosh\left(x\right)^{4} - 308 \, a^{3} \cosh\left(x\right)^{2} + 7 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{10} + 4 \, {\left(12155 \, a^{3} \cosh\left(x\right)^{9} - 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} - 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right) + {\left(12155 \, a^{3} \cosh\left(x\right)^{9} - 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} - 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(12155 \, a^{3} \cosh\left(x\right)^{9} - 25740 \, a^{3} \cosh\left(x\right)^{7} + 18018 \, a^{3} \cosh\left(x\right)^{5} - 4620 \, a^{3} \cosh\left(x\right)^{3} + 315 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{9} + 84 \, a^{3} \cosh\left(x\right)^{6} + 18 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{10} - 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} - 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} - 7 \, a^{3} + {\left(2431 \, a^{3} \cosh\left(x\right)^{10} - 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} - 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} - 7 \, a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(2431 \, a^{3} \cosh\left(x\right)^{10} - 6435 \, a^{3} \cosh\left(x\right)^{8} + 6006 \, a^{3} \cosh\left(x\right)^{6} - 2310 \, a^{3} \cosh\left(x\right)^{4} + 315 \, a^{3} \cosh\left(x\right)^{2} - 7 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{8} + 144 \, {\left(221 \, a^{3} \cosh\left(x\right)^{11} - 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} - 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right) + {\left(221 \, a^{3} \cosh\left(x\right)^{11} - 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} - 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{11} - 715 \, a^{3} \cosh\left(x\right)^{9} + 858 \, a^{3} \cosh\left(x\right)^{7} - 462 \, a^{3} \cosh\left(x\right)^{5} + 105 \, a^{3} \cosh\left(x\right)^{3} - 7 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} - 36 \, a^{3} \cosh\left(x\right)^{4} + 84 \, {\left(221 \, a^{3} \cosh\left(x\right)^{12} - 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} - 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} - 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(221 \, a^{3} \cosh\left(x\right)^{12} - 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} - 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} - 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(221 \, a^{3} \cosh\left(x\right)^{12} - 858 \, a^{3} \cosh\left(x\right)^{10} + 1287 \, a^{3} \cosh\left(x\right)^{8} - 924 \, a^{3} \cosh\left(x\right)^{6} + 315 \, a^{3} \cosh\left(x\right)^{4} - 42 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 504 \, {\left(17 \, a^{3} \cosh\left(x\right)^{13} - 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} - 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} - 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{13} - 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} - 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} - 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{13} - 78 \, a^{3} \cosh\left(x\right)^{11} + 143 \, a^{3} \cosh\left(x\right)^{9} - 132 \, a^{3} \cosh\left(x\right)^{7} + 63 \, a^{3} \cosh\left(x\right)^{5} - 14 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 9 \, a^{3} \cosh\left(x\right)^{2} + 36 \, {\left(85 \, a^{3} \cosh\left(x\right)^{14} - 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} - 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} - 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(85 \, a^{3} \cosh\left(x\right)^{14} - 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} - 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} - 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(85 \, a^{3} \cosh\left(x\right)^{14} - 455 \, a^{3} \cosh\left(x\right)^{12} + 1001 \, a^{3} \cosh\left(x\right)^{10} - 1155 \, a^{3} \cosh\left(x\right)^{8} + 735 \, a^{3} \cosh\left(x\right)^{6} - 245 \, a^{3} \cosh\left(x\right)^{4} + 35 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 48 \, {\left(17 \, a^{3} \cosh\left(x\right)^{15} - 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} - 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} - 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right) + {\left(17 \, a^{3} \cosh\left(x\right)^{15} - 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} - 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} - 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{15} - 105 \, a^{3} \cosh\left(x\right)^{13} + 273 \, a^{3} \cosh\left(x\right)^{11} - 385 \, a^{3} \cosh\left(x\right)^{9} + 315 \, a^{3} \cosh\left(x\right)^{7} - 147 \, a^{3} \cosh\left(x\right)^{5} + 35 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} - a^{3} + 9 \, {\left(17 \, a^{3} \cosh\left(x\right)^{16} - 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} - 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} - 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} - 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(17 \, a^{3} \cosh\left(x\right)^{16} - 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} - 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} - 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} - 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(17 \, a^{3} \cosh\left(x\right)^{16} - 120 \, a^{3} \cosh\left(x\right)^{14} + 364 \, a^{3} \cosh\left(x\right)^{12} - 616 \, a^{3} \cosh\left(x\right)^{10} + 630 \, a^{3} \cosh\left(x\right)^{8} - 392 \, a^{3} \cosh\left(x\right)^{6} + 140 \, a^{3} \cosh\left(x\right)^{4} - 24 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(a^{3} \cosh\left(x\right)^{18} - 9 \, a^{3} \cosh\left(x\right)^{16} + 36 \, a^{3} \cosh\left(x\right)^{14} - 84 \, a^{3} \cosh\left(x\right)^{12} + 126 \, a^{3} \cosh\left(x\right)^{10} - 126 \, a^{3} \cosh\left(x\right)^{8} + 84 \, a^{3} \cosh\left(x\right)^{6} - 36 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a^{3} \cosh\left(x\right)^{18} - 9 \, a^{3} \cosh\left(x\right)^{16} + 36 \, a^{3} \cosh\left(x\right)^{14} - 84 \, a^{3} \cosh\left(x\right)^{12} + 126 \, a^{3} \cosh\left(x\right)^{10} - 126 \, a^{3} \cosh\left(x\right)^{8} + 84 \, a^{3} \cosh\left(x\right)^{6} - 36 \, a^{3} \cosh\left(x\right)^{4} + 9 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)} + 18 \, {\left(a^{3} \cosh\left(x\right)^{17} - 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} - 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} - 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} - 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right) + {\left(a^{3} \cosh\left(x\right)^{17} - 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} - 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} - 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} - 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a^{3} \cosh\left(x\right)^{17} - 8 \, a^{3} \cosh\left(x\right)^{15} + 28 \, a^{3} \cosh\left(x\right)^{13} - 56 \, a^{3} \cosh\left(x\right)^{11} + 70 \, a^{3} \cosh\left(x\right)^{9} - 56 \, a^{3} \cosh\left(x\right)^{7} + 28 \, a^{3} \cosh\left(x\right)^{5} - 8 \, a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)}}"," ",0,"-256/315*(1008*cosh(x)*e^(2*x)*sinh(x)^7 + 126*e^(2*x)*sinh(x)^8 + 84*(42*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^6 + 504*(14*cosh(x)^3 - cosh(x))*e^(2*x)*sinh(x)^5 + 36*(245*cosh(x)^4 - 35*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^4 + 48*(147*cosh(x)^5 - 35*cosh(x)^3 + 3*cosh(x))*e^(2*x)*sinh(x)^3 + 9*(392*cosh(x)^6 - 140*cosh(x)^4 + 24*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^2 + 18*(56*cosh(x)^7 - 28*cosh(x)^5 + 8*cosh(x)^3 - cosh(x))*e^(2*x)*sinh(x) + (126*cosh(x)^8 - 84*cosh(x)^6 + 36*cosh(x)^4 - 9*cosh(x)^2 + 1)*e^(2*x))*sqrt(a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)*e^(-2*x)/(a^3*cosh(x)^18 - 9*a^3*cosh(x)^16 + (a^3*e^(4*x) - 2*a^3*e^(2*x) + a^3)*sinh(x)^18 + 18*(a^3*cosh(x)*e^(4*x) - 2*a^3*cosh(x)*e^(2*x) + a^3*cosh(x))*sinh(x)^17 + 36*a^3*cosh(x)^14 + 9*(17*a^3*cosh(x)^2 - a^3 + (17*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(17*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^16 + 48*(17*a^3*cosh(x)^3 - 3*a^3*cosh(x) + (17*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(4*x) - 2*(17*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(2*x))*sinh(x)^15 - 84*a^3*cosh(x)^12 + 36*(85*a^3*cosh(x)^4 - 30*a^3*cosh(x)^2 + a^3 + (85*a^3*cosh(x)^4 - 30*a^3*cosh(x)^2 + a^3)*e^(4*x) - 2*(85*a^3*cosh(x)^4 - 30*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^14 + 504*(17*a^3*cosh(x)^5 - 10*a^3*cosh(x)^3 + a^3*cosh(x) + (17*a^3*cosh(x)^5 - 10*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) - 2*(17*a^3*cosh(x)^5 - 10*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x)^13 + 126*a^3*cosh(x)^10 + 84*(221*a^3*cosh(x)^6 - 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 - a^3 + (221*a^3*cosh(x)^6 - 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(221*a^3*cosh(x)^6 - 195*a^3*cosh(x)^4 + 39*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^12 + 144*(221*a^3*cosh(x)^7 - 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 - 7*a^3*cosh(x) + (221*a^3*cosh(x)^7 - 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^(4*x) - 2*(221*a^3*cosh(x)^7 - 273*a^3*cosh(x)^5 + 91*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^(2*x))*sinh(x)^11 - 126*a^3*cosh(x)^8 + 18*(2431*a^3*cosh(x)^8 - 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 - 308*a^3*cosh(x)^2 + 7*a^3 + (2431*a^3*cosh(x)^8 - 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 - 308*a^3*cosh(x)^2 + 7*a^3)*e^(4*x) - 2*(2431*a^3*cosh(x)^8 - 4004*a^3*cosh(x)^6 + 2002*a^3*cosh(x)^4 - 308*a^3*cosh(x)^2 + 7*a^3)*e^(2*x))*sinh(x)^10 + 4*(12155*a^3*cosh(x)^9 - 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 - 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x) + (12155*a^3*cosh(x)^9 - 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 - 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x))*e^(4*x) - 2*(12155*a^3*cosh(x)^9 - 25740*a^3*cosh(x)^7 + 18018*a^3*cosh(x)^5 - 4620*a^3*cosh(x)^3 + 315*a^3*cosh(x))*e^(2*x))*sinh(x)^9 + 84*a^3*cosh(x)^6 + 18*(2431*a^3*cosh(x)^10 - 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 - 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 - 7*a^3 + (2431*a^3*cosh(x)^10 - 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 - 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 - 7*a^3)*e^(4*x) - 2*(2431*a^3*cosh(x)^10 - 6435*a^3*cosh(x)^8 + 6006*a^3*cosh(x)^6 - 2310*a^3*cosh(x)^4 + 315*a^3*cosh(x)^2 - 7*a^3)*e^(2*x))*sinh(x)^8 + 144*(221*a^3*cosh(x)^11 - 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 - 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 - 7*a^3*cosh(x) + (221*a^3*cosh(x)^11 - 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 - 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^(4*x) - 2*(221*a^3*cosh(x)^11 - 715*a^3*cosh(x)^9 + 858*a^3*cosh(x)^7 - 462*a^3*cosh(x)^5 + 105*a^3*cosh(x)^3 - 7*a^3*cosh(x))*e^(2*x))*sinh(x)^7 - 36*a^3*cosh(x)^4 + 84*(221*a^3*cosh(x)^12 - 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 - 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 - 42*a^3*cosh(x)^2 + a^3 + (221*a^3*cosh(x)^12 - 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 - 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 - 42*a^3*cosh(x)^2 + a^3)*e^(4*x) - 2*(221*a^3*cosh(x)^12 - 858*a^3*cosh(x)^10 + 1287*a^3*cosh(x)^8 - 924*a^3*cosh(x)^6 + 315*a^3*cosh(x)^4 - 42*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^6 + 504*(17*a^3*cosh(x)^13 - 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 - 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 - 14*a^3*cosh(x)^3 + a^3*cosh(x) + (17*a^3*cosh(x)^13 - 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 - 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 - 14*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) - 2*(17*a^3*cosh(x)^13 - 78*a^3*cosh(x)^11 + 143*a^3*cosh(x)^9 - 132*a^3*cosh(x)^7 + 63*a^3*cosh(x)^5 - 14*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x)^5 + 9*a^3*cosh(x)^2 + 36*(85*a^3*cosh(x)^14 - 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 - 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 - 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 - a^3 + (85*a^3*cosh(x)^14 - 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 - 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 - 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(85*a^3*cosh(x)^14 - 455*a^3*cosh(x)^12 + 1001*a^3*cosh(x)^10 - 1155*a^3*cosh(x)^8 + 735*a^3*cosh(x)^6 - 245*a^3*cosh(x)^4 + 35*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^4 + 48*(17*a^3*cosh(x)^15 - 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 - 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 - 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 - 3*a^3*cosh(x) + (17*a^3*cosh(x)^15 - 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 - 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 - 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(4*x) - 2*(17*a^3*cosh(x)^15 - 105*a^3*cosh(x)^13 + 273*a^3*cosh(x)^11 - 385*a^3*cosh(x)^9 + 315*a^3*cosh(x)^7 - 147*a^3*cosh(x)^5 + 35*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(2*x))*sinh(x)^3 - a^3 + 9*(17*a^3*cosh(x)^16 - 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 - 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 - 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 - 24*a^3*cosh(x)^2 + a^3 + (17*a^3*cosh(x)^16 - 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 - 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 - 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 - 24*a^3*cosh(x)^2 + a^3)*e^(4*x) - 2*(17*a^3*cosh(x)^16 - 120*a^3*cosh(x)^14 + 364*a^3*cosh(x)^12 - 616*a^3*cosh(x)^10 + 630*a^3*cosh(x)^8 - 392*a^3*cosh(x)^6 + 140*a^3*cosh(x)^4 - 24*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^2 + (a^3*cosh(x)^18 - 9*a^3*cosh(x)^16 + 36*a^3*cosh(x)^14 - 84*a^3*cosh(x)^12 + 126*a^3*cosh(x)^10 - 126*a^3*cosh(x)^8 + 84*a^3*cosh(x)^6 - 36*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(a^3*cosh(x)^18 - 9*a^3*cosh(x)^16 + 36*a^3*cosh(x)^14 - 84*a^3*cosh(x)^12 + 126*a^3*cosh(x)^10 - 126*a^3*cosh(x)^8 + 84*a^3*cosh(x)^6 - 36*a^3*cosh(x)^4 + 9*a^3*cosh(x)^2 - a^3)*e^(2*x) + 18*(a^3*cosh(x)^17 - 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 - 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 - 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 - 8*a^3*cosh(x)^3 + a^3*cosh(x) + (a^3*cosh(x)^17 - 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 - 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 - 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 - 8*a^3*cosh(x)^3 + a^3*cosh(x))*e^(4*x) - 2*(a^3*cosh(x)^17 - 8*a^3*cosh(x)^15 + 28*a^3*cosh(x)^13 - 56*a^3*cosh(x)^11 + 70*a^3*cosh(x)^9 - 56*a^3*cosh(x)^7 + 28*a^3*cosh(x)^5 - 8*a^3*cosh(x)^3 + a^3*cosh(x))*e^(2*x))*sinh(x))","B",0
158,1,91,0,0.524487," ","integrate(cosh(x)^8/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{2688} \, {\left(-840 i \, x e^{\left(7 \, x\right)} + 3 \, e^{\left(14 \, x\right)} - 7 i \, e^{\left(13 \, x\right)} + 21 \, e^{\left(12 \, x\right)} - 63 i \, e^{\left(11 \, x\right)} + 63 \, e^{\left(10 \, x\right)} - 315 i \, e^{\left(9 \, x\right)} + 105 \, e^{\left(8 \, x\right)} + 105 \, e^{\left(6 \, x\right)} + 315 i \, e^{\left(5 \, x\right)} + 63 \, e^{\left(4 \, x\right)} + 63 i \, e^{\left(3 \, x\right)} + 21 \, e^{\left(2 \, x\right)} + 7 i \, e^{x} + 3\right)} e^{\left(-7 \, x\right)}"," ",0,"1/2688*(-840*I*x*e^(7*x) + 3*e^(14*x) - 7*I*e^(13*x) + 21*e^(12*x) - 63*I*e^(11*x) + 63*e^(10*x) - 315*I*e^(9*x) + 105*e^(8*x) + 105*e^(6*x) + 315*I*e^(5*x) + 63*e^(4*x) + 63*I*e^(3*x) + 21*e^(2*x) + 7*I*e^x + 3)*e^(-7*x)","B",0
159,1,72,0,0.476152," ","integrate(cosh(x)^7/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{1920} \, {\left(5 \, e^{\left(12 \, x\right)} - 12 i \, e^{\left(11 \, x\right)} + 30 \, e^{\left(10 \, x\right)} - 100 i \, e^{\left(9 \, x\right)} + 75 \, e^{\left(8 \, x\right)} - 600 i \, e^{\left(7 \, x\right)} + 600 i \, e^{\left(5 \, x\right)} + 75 \, e^{\left(4 \, x\right)} + 100 i \, e^{\left(3 \, x\right)} + 30 \, e^{\left(2 \, x\right)} + 12 i \, e^{x} + 5\right)} e^{\left(-6 \, x\right)}"," ",0,"1/1920*(5*e^(12*x) - 12*I*e^(11*x) + 30*e^(10*x) - 100*I*e^(9*x) + 75*e^(8*x) - 600*I*e^(7*x) + 600*I*e^(5*x) + 75*e^(4*x) + 100*I*e^(3*x) + 30*e^(2*x) + 12*I*e^x + 5)*e^(-6*x)","B",0
160,1,67,0,0.682589," ","integrate(cosh(x)^6/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{320} \, {\left(-120 i \, x e^{\left(5 \, x\right)} + 2 \, e^{\left(10 \, x\right)} - 5 i \, e^{\left(9 \, x\right)} + 10 \, e^{\left(8 \, x\right)} - 40 i \, e^{\left(7 \, x\right)} + 20 \, e^{\left(6 \, x\right)} + 20 \, e^{\left(4 \, x\right)} + 40 i \, e^{\left(3 \, x\right)} + 10 \, e^{\left(2 \, x\right)} + 5 i \, e^{x} + 2\right)} e^{\left(-5 \, x\right)}"," ",0,"1/320*(-120*I*x*e^(5*x) + 2*e^(10*x) - 5*I*e^(9*x) + 10*e^(8*x) - 40*I*e^(7*x) + 20*e^(6*x) + 20*e^(4*x) + 40*I*e^(3*x) + 10*e^(2*x) + 5*I*e^x + 2)*e^(-5*x)","B",0
161,1,48,0,0.519659," ","integrate(cosh(x)^5/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{192} \, {\left(3 \, e^{\left(8 \, x\right)} - 8 i \, e^{\left(7 \, x\right)} + 12 \, e^{\left(6 \, x\right)} - 72 i \, e^{\left(5 \, x\right)} + 72 i \, e^{\left(3 \, x\right)} + 12 \, e^{\left(2 \, x\right)} + 8 i \, e^{x} + 3\right)} e^{\left(-4 \, x\right)}"," ",0,"1/192*(3*e^(8*x) - 8*I*e^(7*x) + 12*e^(6*x) - 72*I*e^(5*x) + 72*I*e^(3*x) + 12*e^(2*x) + 8*I*e^x + 3)*e^(-4*x)","B",0
162,1,41,0,0.572703," ","integrate(cosh(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(-12 i \, x e^{\left(3 \, x\right)} + e^{\left(6 \, x\right)} - 3 i \, e^{\left(5 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} + 3 i \, e^{x} + 1\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*(-12*I*x*e^(3*x) + e^(6*x) - 3*I*e^(5*x) + 3*e^(4*x) + 3*e^(2*x) + 3*I*e^x + 1)*e^(-3*x)","B",0
163,1,22,0,0.782616," ","integrate(cosh(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} + 4 i \, e^{x} + 1\right)} e^{\left(-2 \, x\right)}"," ",0,"1/8*(e^(4*x) - 4*I*e^(3*x) + 4*I*e^x + 1)*e^(-2*x)","A",0
164,1,17,0,0.610088," ","integrate(cosh(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(-2 i \, x e^{x} + e^{\left(2 \, x\right)} + 1\right)} e^{\left(-x\right)}"," ",0,"1/2*(-2*I*x*e^x + e^(2*x) + 1)*e^(-x)","B",0
165,1,11,0,0.500890," ","integrate(cosh(x)/(I+sinh(x)),x, algorithm=""fricas"")","-x + 2 \, \log\left(e^{x} + i\right)"," ",0,"-x + 2*log(e^x + I)","B",0
166,1,53,0,0.586873," ","integrate(sech(x)/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1\right)} \log\left(e^{x} + i\right) - {\left(e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1\right)} \log\left(e^{x} - i\right) - 2 i \, e^{x}}{2 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} - 2}"," ",0,"((e^(2*x) + 2*I*e^x - 1)*log(e^x + I) - (e^(2*x) + 2*I*e^x - 1)*log(e^x - I) - 2*I*e^x)/(2*e^(2*x) + 4*I*e^x - 2)","B",0
167,1,28,0,0.404880," ","integrate(sech(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{8 \, e^{x} + 4 i}{3 \, e^{\left(4 \, x\right)} + 6 i \, e^{\left(3 \, x\right)} + 6 i \, e^{x} - 3}"," ",0,"-(8*e^x + 4*I)/(3*e^(4*x) + 6*I*e^(3*x) + 6*I*e^x - 3)","A",0
168,1,153,0,0.508993," ","integrate(sech(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(3 \, e^{\left(6 \, x\right)} + 6 i \, e^{\left(5 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 12 i \, e^{\left(3 \, x\right)} - 3 \, e^{\left(2 \, x\right)} + 6 i \, e^{x} - 3\right)} \log\left(e^{x} + i\right) - {\left(3 \, e^{\left(6 \, x\right)} + 6 i \, e^{\left(5 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 12 i \, e^{\left(3 \, x\right)} - 3 \, e^{\left(2 \, x\right)} + 6 i \, e^{x} - 3\right)} \log\left(e^{x} - i\right) - 6 i \, e^{\left(5 \, x\right)} + 12 \, e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 6 i \, e^{x}}{8 \, e^{\left(6 \, x\right)} + 16 i \, e^{\left(5 \, x\right)} + 8 \, e^{\left(4 \, x\right)} + 32 i \, e^{\left(3 \, x\right)} - 8 \, e^{\left(2 \, x\right)} + 16 i \, e^{x} - 8}"," ",0,"((3*e^(6*x) + 6*I*e^(5*x) + 3*e^(4*x) + 12*I*e^(3*x) - 3*e^(2*x) + 6*I*e^x - 3)*log(e^x + I) - (3*e^(6*x) + 6*I*e^(5*x) + 3*e^(4*x) + 12*I*e^(3*x) - 3*e^(2*x) + 6*I*e^x - 3)*log(e^x - I) - 6*I*e^(5*x) + 12*e^(4*x) - 4*I*e^(3*x) - 12*e^(2*x) - 6*I*e^x)/(8*e^(6*x) + 16*I*e^(5*x) + 8*e^(4*x) + 32*I*e^(3*x) - 8*e^(2*x) + 16*I*e^x - 8)","B",0
169,1,64,0,0.439024," ","integrate(sech(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{96 \, e^{\left(3 \, x\right)} + 32 i \, e^{\left(2 \, x\right)} + 32 \, e^{x} + 16 i}{15 \, e^{\left(8 \, x\right)} + 30 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} + 90 i \, e^{\left(5 \, x\right)} + 90 i \, e^{\left(3 \, x\right)} - 30 \, e^{\left(2 \, x\right)} + 30 i \, e^{x} - 15}"," ",0,"-(96*e^(3*x) + 32*I*e^(2*x) + 32*e^x + 16*I)/(15*e^(8*x) + 30*I*e^(7*x) + 30*e^(6*x) + 90*I*e^(5*x) + 90*I*e^(3*x) - 30*e^(2*x) + 30*I*e^x - 15)","B",0
170,1,249,0,0.539808," ","integrate(sech(x)^5/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(15 \, e^{\left(10 \, x\right)} + 30 i \, e^{\left(9 \, x\right)} + 45 \, e^{\left(8 \, x\right)} + 120 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} + 180 i \, e^{\left(5 \, x\right)} - 30 \, e^{\left(4 \, x\right)} + 120 i \, e^{\left(3 \, x\right)} - 45 \, e^{\left(2 \, x\right)} + 30 i \, e^{x} - 15\right)} \log\left(e^{x} + i\right) - {\left(15 \, e^{\left(10 \, x\right)} + 30 i \, e^{\left(9 \, x\right)} + 45 \, e^{\left(8 \, x\right)} + 120 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} + 180 i \, e^{\left(5 \, x\right)} - 30 \, e^{\left(4 \, x\right)} + 120 i \, e^{\left(3 \, x\right)} - 45 \, e^{\left(2 \, x\right)} + 30 i \, e^{x} - 15\right)} \log\left(e^{x} - i\right) - 30 i \, e^{\left(9 \, x\right)} + 60 \, e^{\left(8 \, x\right)} - 80 i \, e^{\left(7 \, x\right)} + 220 \, e^{\left(6 \, x\right)} - 36 i \, e^{\left(5 \, x\right)} - 220 \, e^{\left(4 \, x\right)} - 80 i \, e^{\left(3 \, x\right)} - 60 \, e^{\left(2 \, x\right)} - 30 i \, e^{x}}{48 \, e^{\left(10 \, x\right)} + 96 i \, e^{\left(9 \, x\right)} + 144 \, e^{\left(8 \, x\right)} + 384 i \, e^{\left(7 \, x\right)} + 96 \, e^{\left(6 \, x\right)} + 576 i \, e^{\left(5 \, x\right)} - 96 \, e^{\left(4 \, x\right)} + 384 i \, e^{\left(3 \, x\right)} - 144 \, e^{\left(2 \, x\right)} + 96 i \, e^{x} - 48}"," ",0,"((15*e^(10*x) + 30*I*e^(9*x) + 45*e^(8*x) + 120*I*e^(7*x) + 30*e^(6*x) + 180*I*e^(5*x) - 30*e^(4*x) + 120*I*e^(3*x) - 45*e^(2*x) + 30*I*e^x - 15)*log(e^x + I) - (15*e^(10*x) + 30*I*e^(9*x) + 45*e^(8*x) + 120*I*e^(7*x) + 30*e^(6*x) + 180*I*e^(5*x) - 30*e^(4*x) + 120*I*e^(3*x) - 45*e^(2*x) + 30*I*e^x - 15)*log(e^x - I) - 30*I*e^(9*x) + 60*e^(8*x) - 80*I*e^(7*x) + 220*e^(6*x) - 36*I*e^(5*x) - 220*e^(4*x) - 80*I*e^(3*x) - 60*e^(2*x) - 30*I*e^x)/(48*e^(10*x) + 96*I*e^(9*x) + 144*e^(8*x) + 384*I*e^(7*x) + 96*e^(6*x) + 576*I*e^(5*x) - 96*e^(4*x) + 384*I*e^(3*x) - 144*e^(2*x) + 96*I*e^x - 48)","B",0
171,1,55,0,0.580052," ","integrate(cosh(x)^6/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{1}{192} \, {\left(120 \, x e^{\left(4 \, x\right)} - 3 \, e^{\left(8 \, x\right)} + 16 i \, e^{\left(7 \, x\right)} + 24 \, e^{\left(6 \, x\right)} + 48 i \, e^{\left(5 \, x\right)} + 48 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} + 16 i \, e^{x} + 3\right)} e^{\left(-4 \, x\right)}"," ",0,"-1/192*(120*x*e^(4*x) - 3*e^(8*x) + 16*I*e^(7*x) + 24*e^(6*x) + 48*I*e^(5*x) + 48*I*e^(3*x) - 24*e^(2*x) + 16*I*e^x + 3)*e^(-4*x)","A",0
172,1,34,0,0.463319," ","integrate(cosh(x)^5/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{24} \, {\left(e^{\left(6 \, x\right)} - 6 i \, e^{\left(5 \, x\right)} - 15 \, e^{\left(4 \, x\right)} + 15 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} - 1\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*(e^(6*x) - 6*I*e^(5*x) - 15*e^(4*x) + 15*e^(2*x) - 6*I*e^x - 1)*e^(-3*x)","B",0
173,1,31,0,0.456783," ","integrate(cosh(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(12 \, x e^{\left(2 \, x\right)} - e^{\left(4 \, x\right)} + 8 i \, e^{\left(3 \, x\right)} + 8 i \, e^{x} + 1\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/8*(12*x*e^(2*x) - e^(4*x) + 8*I*e^(3*x) + 8*I*e^x + 1)*e^(-2*x)","A",0
174,1,26,0,0.816319," ","integrate(cosh(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(4 i \, x e^{x} - 8 i \, e^{x} \log\left(e^{x} + i\right) + e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}"," ",0,"1/2*(4*I*x*e^x - 8*I*e^x*log(e^x + I) + e^(2*x) - 1)*e^(-x)","B",0
175,1,16,0,0.510759," ","integrate(cosh(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{x e^{x} + i \, x + 4 i}{e^{x} + i}"," ",0,"(x*e^x + I*x + 4*I)/(e^x + I)","A",0
176,1,16,0,0.564739," ","integrate(cosh(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, e^{x}}{e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1}"," ",0,"-2*e^x/(e^(2*x) + 2*I*e^x - 1)","A",0
177,1,104,0,0.735624," ","integrate(sech(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-i \, e^{\left(4 \, x\right)} + 4 \, e^{\left(3 \, x\right)} + 6 i \, e^{\left(2 \, x\right)} - 4 \, e^{x} - i\right)} \log\left(e^{x} + i\right) + {\left(i \, e^{\left(4 \, x\right)} - 4 \, e^{\left(3 \, x\right)} - 6 i \, e^{\left(2 \, x\right)} + 4 \, e^{x} + i\right)} \log\left(e^{x} - i\right) - 2 \, e^{\left(3 \, x\right)} - 8 i \, e^{\left(2 \, x\right)} + 2 \, e^{x}}{4 \, e^{\left(4 \, x\right)} + 16 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} - 16 i \, e^{x} + 4}"," ",0,"((-I*e^(4*x) + 4*e^(3*x) + 6*I*e^(2*x) - 4*e^x - I)*log(e^x + I) + (I*e^(4*x) - 4*e^(3*x) - 6*I*e^(2*x) + 4*e^x + I)*log(e^x - I) - 2*e^(3*x) - 8*I*e^(2*x) + 2*e^x)/(4*e^(4*x) + 16*I*e^(3*x) - 24*e^(2*x) - 16*I*e^x + 4)","B",0
178,1,46,0,0.640903," ","integrate(sech(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{20 \, e^{\left(2 \, x\right)} + 16 i \, e^{x} - 4}{5 \, e^{\left(6 \, x\right)} + 20 i \, e^{\left(5 \, x\right)} - 25 \, e^{\left(4 \, x\right)} - 25 \, e^{\left(2 \, x\right)} - 20 i \, e^{x} + 5}"," ",0,"-(20*e^(2*x) + 16*I*e^x - 4)/(5*e^(6*x) + 20*I*e^(5*x) - 25*e^(4*x) - 25*e^(2*x) - 20*I*e^x + 5)","A",0
179,1,200,0,0.510024," ","integrate(sech(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-3 i \, e^{\left(8 \, x\right)} + 12 \, e^{\left(7 \, x\right)} + 12 i \, e^{\left(6 \, x\right)} + 12 \, e^{\left(5 \, x\right)} + 30 i \, e^{\left(4 \, x\right)} - 12 \, e^{\left(3 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} - 12 \, e^{x} - 3 i\right)} \log\left(e^{x} + i\right) + {\left(3 i \, e^{\left(8 \, x\right)} - 12 \, e^{\left(7 \, x\right)} - 12 i \, e^{\left(6 \, x\right)} - 12 \, e^{\left(5 \, x\right)} - 30 i \, e^{\left(4 \, x\right)} + 12 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} + 12 \, e^{x} + 3 i\right)} \log\left(e^{x} - i\right) - 6 \, e^{\left(7 \, x\right)} - 24 i \, e^{\left(6 \, x\right)} + 26 \, e^{\left(5 \, x\right)} - 16 i \, e^{\left(4 \, x\right)} - 26 \, e^{\left(3 \, x\right)} - 24 i \, e^{\left(2 \, x\right)} + 6 \, e^{x}}{12 \, e^{\left(8 \, x\right)} + 48 i \, e^{\left(7 \, x\right)} - 48 \, e^{\left(6 \, x\right)} + 48 i \, e^{\left(5 \, x\right)} - 120 \, e^{\left(4 \, x\right)} - 48 i \, e^{\left(3 \, x\right)} - 48 \, e^{\left(2 \, x\right)} - 48 i \, e^{x} + 12}"," ",0,"((-3*I*e^(8*x) + 12*e^(7*x) + 12*I*e^(6*x) + 12*e^(5*x) + 30*I*e^(4*x) - 12*e^(3*x) + 12*I*e^(2*x) - 12*e^x - 3*I)*log(e^x + I) + (3*I*e^(8*x) - 12*e^(7*x) - 12*I*e^(6*x) - 12*e^(5*x) - 30*I*e^(4*x) + 12*e^(3*x) - 12*I*e^(2*x) + 12*e^x + 3*I)*log(e^x - I) - 6*e^(7*x) - 24*I*e^(6*x) + 26*e^(5*x) - 16*I*e^(4*x) - 26*e^(3*x) - 24*I*e^(2*x) + 6*e^x)/(12*e^(8*x) + 48*I*e^(7*x) - 48*e^(6*x) + 48*I*e^(5*x) - 120*e^(4*x) - 48*I*e^(3*x) - 48*e^(2*x) - 48*I*e^x + 12)","B",0
180,1,82,0,0.585954," ","integrate(sech(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{224 \, e^{\left(4 \, x\right)} + 128 i \, e^{\left(3 \, x\right)} + 48 \, e^{\left(2 \, x\right)} + 64 i \, e^{x} - 16}{21 \, e^{\left(10 \, x\right)} + 84 i \, e^{\left(9 \, x\right)} - 63 \, e^{\left(8 \, x\right)} + 168 i \, e^{\left(7 \, x\right)} - 294 \, e^{\left(6 \, x\right)} - 294 \, e^{\left(4 \, x\right)} - 168 i \, e^{\left(3 \, x\right)} - 63 \, e^{\left(2 \, x\right)} - 84 i \, e^{x} + 21}"," ",0,"-(224*e^(4*x) + 128*I*e^(3*x) + 48*e^(2*x) + 64*I*e^x - 16)/(21*e^(10*x) + 84*I*e^(9*x) - 63*e^(8*x) + 168*I*e^(7*x) - 294*e^(6*x) - 294*e^(4*x) - 168*I*e^(3*x) - 63*e^(2*x) - 84*I*e^x + 21)","B",0
181,1,49,0,0.483240," ","integrate(cosh(x)^3/(1+I*sinh(x))^3,x, algorithm=""fricas"")","\frac{-i \, x e^{\left(2 \, x\right)} - 2 \, {\left(x - 2\right)} e^{x} + {\left(2 i \, e^{\left(2 \, x\right)} + 4 \, e^{x} - 2 i\right)} \log\left(e^{x} - i\right) + i \, x}{e^{\left(2 \, x\right)} - 2 i \, e^{x} - 1}"," ",0,"(-I*x*e^(2*x) - 2*(x - 2)*e^x + (2*I*e^(2*x) + 4*e^x - 2*I)*log(e^x - I) + I*x)/(e^(2*x) - 2*I*e^x - 1)","B",0
182,1,29,0,0.478852," ","integrate(cosh(x)^2/(1+I*sinh(x))^3,x, algorithm=""fricas"")","\frac{-6 i \, e^{\left(2 \, x\right)} + 2 i}{3 \, e^{\left(3 \, x\right)} - 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} + 3 i}"," ",0,"(-6*I*e^(2*x) + 2*I)/(3*e^(3*x) - 9*I*e^(2*x) - 9*e^x + 3*I)","B",0
183,1,30,0,0.596334," ","integrate(cosh(x)/(1+I*sinh(x))^3,x, algorithm=""fricas"")","-\frac{2 i \, e^{\left(2 \, x\right)}}{e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} + 1}"," ",0,"-2*I*e^(2*x)/(e^(4*x) - 4*I*e^(3*x) - 6*e^(2*x) + 4*I*e^x + 1)","B",0
184,1,49,0,0.481030," ","integrate(cosh(x)^3/(1-I*sinh(x))^3,x, algorithm=""fricas"")","\frac{i \, x e^{\left(2 \, x\right)} - 2 \, {\left(x - 2\right)} e^{x} + {\left(-2 i \, e^{\left(2 \, x\right)} + 4 \, e^{x} + 2 i\right)} \log\left(e^{x} + i\right) - i \, x}{e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1}"," ",0,"(I*x*e^(2*x) - 2*(x - 2)*e^x + (-2*I*e^(2*x) + 4*e^x + 2*I)*log(e^x + I) - I*x)/(e^(2*x) + 2*I*e^x - 1)","B",0
185,1,29,0,0.791786," ","integrate(cosh(x)^2/(1-I*sinh(x))^3,x, algorithm=""fricas"")","\frac{6 i \, e^{\left(2 \, x\right)} - 2 i}{3 \, e^{\left(3 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} - 3 i}"," ",0,"(6*I*e^(2*x) - 2*I)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","B",0
186,1,30,0,0.579667," ","integrate(cosh(x)/(1-I*sinh(x))^3,x, algorithm=""fricas"")","\frac{2 i \, e^{\left(2 \, x\right)}}{e^{\left(4 \, x\right)} + 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} + 1}"," ",0,"2*I*e^(2*x)/(e^(4*x) + 4*I*e^(3*x) - 6*e^(2*x) - 4*I*e^x + 1)","B",0
187,1,2105,0,0.623705," ","integrate(cosh(x)^7/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{5 \, b^{6} \cosh\left(x\right)^{12} + 5 \, b^{6} \sinh\left(x\right)^{12} - 12 \, a b^{5} \cosh\left(x\right)^{11} + 12 \, {\left(5 \, b^{6} \cosh\left(x\right) - a b^{5}\right)} \sinh\left(x\right)^{11} + 30 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{10} + 6 \, {\left(55 \, b^{6} \cosh\left(x\right)^{2} - 22 \, a b^{5} \cosh\left(x\right) + 5 \, a^{2} b^{4} + 10 \, b^{6}\right)} \sinh\left(x\right)^{10} - 20 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{9} + 20 \, {\left(55 \, b^{6} \cosh\left(x\right)^{3} - 33 \, a b^{5} \cosh\left(x\right)^{2} - 4 \, a^{3} b^{3} - 9 \, a b^{5} + 15 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{8} + 15 \, {\left(165 \, b^{6} \cosh\left(x\right)^{4} - 132 \, a b^{5} \cosh\left(x\right)^{3} + 16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6} + 90 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} - 1920 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{6} - 120 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 120 \, {\left(33 \, b^{6} \cosh\left(x\right)^{5} - 33 \, a b^{5} \cosh\left(x\right)^{4} - 8 \, a^{5} b - 22 \, a^{3} b^{3} - 19 \, a b^{5} + 30 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{2} + {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 12 \, a b^{5} \cosh\left(x\right) + 12 \, {\left(385 \, b^{6} \cosh\left(x\right)^{6} - 462 \, a b^{5} \cosh\left(x\right)^{5} + 525 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{4} - 140 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 35 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{2} - 160 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x - 70 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 5 \, b^{6} + 120 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 24 \, {\left(165 \, b^{6} \cosh\left(x\right)^{7} - 231 \, a b^{5} \cosh\left(x\right)^{6} + 40 \, a^{5} b + 110 \, a^{3} b^{3} + 95 \, a b^{5} + 315 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{5} - 105 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{3} - 480 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right) - 105 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 15 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(165 \, b^{6} \cosh\left(x\right)^{8} - 264 \, a b^{5} \cosh\left(x\right)^{7} + 420 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{6} + 16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6} - 168 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{4} - 1920 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{2} - 280 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 40 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 20 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(55 \, b^{6} \cosh\left(x\right)^{9} - 99 \, a b^{5} \cosh\left(x\right)^{8} + 180 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{7} - 84 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{6} + 4 \, a^{3} b^{3} + 9 \, a b^{5} + 42 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{5} - 1920 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{3} - 210 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 60 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 30 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{2} + 30 \, {\left(11 \, b^{6} \cosh\left(x\right)^{10} - 22 \, a b^{5} \cosh\left(x\right)^{9} + 45 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{8} - 24 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 14 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{6} + a^{2} b^{4} + 2 \, b^{6} - 960 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{4} - 84 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 40 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 1920 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{6}\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 12 \, {\left(5 \, b^{6} \cosh\left(x\right)^{11} - 11 \, a b^{5} \cosh\left(x\right)^{10} + 25 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)^{9} - 15 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{8} + 10 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{7} - 960 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{5} - 70 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{6} + a b^{5} + 50 \, {\left(8 \, a^{5} b + 22 \, a^{3} b^{3} + 19 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(16 \, a^{4} b^{2} + 40 \, a^{2} b^{4} + 29 \, b^{6}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(4 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(a^{2} b^{4} + 2 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{1920 \, {\left(b^{7} \cosh\left(x\right)^{6} + 6 \, b^{7} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, b^{7} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, b^{7} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, b^{7} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, b^{7} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{7} \sinh\left(x\right)^{6}\right)}}"," ",0,"1/1920*(5*b^6*cosh(x)^12 + 5*b^6*sinh(x)^12 - 12*a*b^5*cosh(x)^11 + 12*(5*b^6*cosh(x) - a*b^5)*sinh(x)^11 + 30*(a^2*b^4 + 2*b^6)*cosh(x)^10 + 6*(55*b^6*cosh(x)^2 - 22*a*b^5*cosh(x) + 5*a^2*b^4 + 10*b^6)*sinh(x)^10 - 20*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^9 + 20*(55*b^6*cosh(x)^3 - 33*a*b^5*cosh(x)^2 - 4*a^3*b^3 - 9*a*b^5 + 15*(a^2*b^4 + 2*b^6)*cosh(x))*sinh(x)^9 + 15*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^8 + 15*(165*b^6*cosh(x)^4 - 132*a*b^5*cosh(x)^3 + 16*a^4*b^2 + 40*a^2*b^4 + 29*b^6 + 90*(a^2*b^4 + 2*b^6)*cosh(x)^2 - 12*(4*a^3*b^3 + 9*a*b^5)*cosh(x))*sinh(x)^8 - 1920*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^6 - 120*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^7 + 120*(33*b^6*cosh(x)^5 - 33*a*b^5*cosh(x)^4 - 8*a^5*b - 22*a^3*b^3 - 19*a*b^5 + 30*(a^2*b^4 + 2*b^6)*cosh(x)^3 - 6*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^2 + (16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x))*sinh(x)^7 + 12*a*b^5*cosh(x) + 12*(385*b^6*cosh(x)^6 - 462*a*b^5*cosh(x)^5 + 525*(a^2*b^4 + 2*b^6)*cosh(x)^4 - 140*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^3 + 35*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^2 - 160*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x - 70*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x))*sinh(x)^6 + 5*b^6 + 120*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^5 + 24*(165*b^6*cosh(x)^7 - 231*a*b^5*cosh(x)^6 + 40*a^5*b + 110*a^3*b^3 + 95*a*b^5 + 315*(a^2*b^4 + 2*b^6)*cosh(x)^5 - 105*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^4 + 35*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^3 - 480*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x) - 105*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^2)*sinh(x)^5 + 15*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^4 + 15*(165*b^6*cosh(x)^8 - 264*a*b^5*cosh(x)^7 + 420*(a^2*b^4 + 2*b^6)*cosh(x)^6 + 16*a^4*b^2 + 40*a^2*b^4 + 29*b^6 - 168*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^5 + 70*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^4 - 1920*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^2 - 280*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^3 + 40*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x))*sinh(x)^4 + 20*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^3 + 20*(55*b^6*cosh(x)^9 - 99*a*b^5*cosh(x)^8 + 180*(a^2*b^4 + 2*b^6)*cosh(x)^7 - 84*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^6 + 4*a^3*b^3 + 9*a*b^5 + 42*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^5 - 1920*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^3 - 210*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^4 + 60*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^2 + 3*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x))*sinh(x)^3 + 30*(a^2*b^4 + 2*b^6)*cosh(x)^2 + 30*(11*b^6*cosh(x)^10 - 22*a*b^5*cosh(x)^9 + 45*(a^2*b^4 + 2*b^6)*cosh(x)^8 - 24*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^7 + 14*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^6 + a^2*b^4 + 2*b^6 - 960*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^4 - 84*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^5 + 40*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^3 + 3*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^2 + 2*(4*a^3*b^3 + 9*a*b^5)*cosh(x))*sinh(x)^2 + 1920*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5*sinh(x) + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4*sinh(x)^2 + 20*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3*sinh(x)^3 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2*sinh(x)^4 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^5 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^6)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 12*(5*b^6*cosh(x)^11 - 11*a*b^5*cosh(x)^10 + 25*(a^2*b^4 + 2*b^6)*cosh(x)^9 - 15*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^8 + 10*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^7 - 960*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^5 - 70*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^6 + a*b^5 + 50*(8*a^5*b + 22*a^3*b^3 + 19*a*b^5)*cosh(x)^4 + 5*(16*a^4*b^2 + 40*a^2*b^4 + 29*b^6)*cosh(x)^3 + 5*(4*a^3*b^3 + 9*a*b^5)*cosh(x)^2 + 5*(a^2*b^4 + 2*b^6)*cosh(x))*sinh(x))/(b^7*cosh(x)^6 + 6*b^7*cosh(x)^5*sinh(x) + 15*b^7*cosh(x)^4*sinh(x)^2 + 20*b^7*cosh(x)^3*sinh(x)^3 + 15*b^7*cosh(x)^2*sinh(x)^4 + 6*b^7*cosh(x)*sinh(x)^5 + b^7*sinh(x)^6)","B",0
188,1,1486,0,0.674925," ","integrate(cosh(x)^6/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{6 \, b^{5} \cosh\left(x\right)^{10} + 6 \, b^{5} \sinh\left(x\right)^{10} - 15 \, a b^{4} \cosh\left(x\right)^{9} + 15 \, {\left(4 \, b^{5} \cosh\left(x\right) - a b^{4}\right)} \sinh\left(x\right)^{9} + 10 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(54 \, b^{5} \cosh\left(x\right)^{2} - 27 \, a b^{4} \cosh\left(x\right) + 8 \, a^{2} b^{3} + 14 \, b^{5}\right)} \sinh\left(x\right)^{8} - 120 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{3} - 27 \, a b^{4} \cosh\left(x\right)^{2} - 6 \, a^{3} b^{2} - 12 \, a b^{4} + 4 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 120 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{5} + 60 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{6} + 20 \, {\left(63 \, b^{5} \cosh\left(x\right)^{4} - 63 \, a b^{4} \cosh\left(x\right)^{3} + 24 \, a^{4} b + 54 \, a^{2} b^{3} + 33 \, b^{5} + 14 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{2} - 42 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 15 \, a b^{4} \cosh\left(x\right) + 2 \, {\left(756 \, b^{5} \cosh\left(x\right)^{5} - 945 \, a b^{4} \cosh\left(x\right)^{4} + 280 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{3} - 1260 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 60 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x + 180 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, b^{5} + 60 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(126 \, b^{5} \cosh\left(x\right)^{6} - 189 \, a b^{4} \cosh\left(x\right)^{5} + 48 \, a^{4} b + 108 \, a^{2} b^{3} + 66 \, b^{5} + 70 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 60 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right) + 90 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 120 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(36 \, b^{5} \cosh\left(x\right)^{7} - 63 \, a b^{4} \cosh\left(x\right)^{6} + 28 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, a^{3} b^{2} + 12 \, a b^{4} - 210 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 60 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{2} + 60 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 10 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(27 \, b^{5} \cosh\left(x\right)^{8} - 54 \, a b^{4} \cosh\left(x\right)^{7} + 28 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{6} - 252 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 4 \, a^{2} b^{3} + 7 \, b^{5} - 120 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{3} + 90 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} + 36 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2} + 36 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 960 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{5}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 5 \, {\left(12 \, b^{5} \cosh\left(x\right)^{9} - 27 \, a b^{4} \cosh\left(x\right)^{8} + 16 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)^{7} - 168 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 120 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x \cosh\left(x\right)^{4} + 72 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, a b^{4} + 48 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 72 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{960 \, {\left(b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, b^{6} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, b^{6} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{4} + b^{6} \sinh\left(x\right)^{5}\right)}}"," ",0,"1/960*(6*b^5*cosh(x)^10 + 6*b^5*sinh(x)^10 - 15*a*b^4*cosh(x)^9 + 15*(4*b^5*cosh(x) - a*b^4)*sinh(x)^9 + 10*(4*a^2*b^3 + 7*b^5)*cosh(x)^8 + 5*(54*b^5*cosh(x)^2 - 27*a*b^4*cosh(x) + 8*a^2*b^3 + 14*b^5)*sinh(x)^8 - 120*(a^3*b^2 + 2*a*b^4)*cosh(x)^7 + 20*(36*b^5*cosh(x)^3 - 27*a*b^4*cosh(x)^2 - 6*a^3*b^2 - 12*a*b^4 + 4*(4*a^2*b^3 + 7*b^5)*cosh(x))*sinh(x)^7 - 120*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^5 + 60*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^6 + 20*(63*b^5*cosh(x)^4 - 63*a*b^4*cosh(x)^3 + 24*a^4*b + 54*a^2*b^3 + 33*b^5 + 14*(4*a^2*b^3 + 7*b^5)*cosh(x)^2 - 42*(a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x)^6 + 15*a*b^4*cosh(x) + 2*(756*b^5*cosh(x)^5 - 945*a*b^4*cosh(x)^4 + 280*(4*a^2*b^3 + 7*b^5)*cosh(x)^3 - 1260*(a^3*b^2 + 2*a*b^4)*cosh(x)^2 - 60*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x + 180*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^5 + 6*b^5 + 60*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^4 + 10*(126*b^5*cosh(x)^6 - 189*a*b^4*cosh(x)^5 + 48*a^4*b + 108*a^2*b^3 + 66*b^5 + 70*(4*a^2*b^3 + 7*b^5)*cosh(x)^4 - 420*(a^3*b^2 + 2*a*b^4)*cosh(x)^3 - 60*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x*cosh(x) + 90*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^2)*sinh(x)^4 + 120*(a^3*b^2 + 2*a*b^4)*cosh(x)^3 + 20*(36*b^5*cosh(x)^7 - 63*a*b^4*cosh(x)^6 + 28*(4*a^2*b^3 + 7*b^5)*cosh(x)^5 + 6*a^3*b^2 + 12*a*b^4 - 210*(a^3*b^2 + 2*a*b^4)*cosh(x)^4 - 60*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^2 + 60*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^3 + 12*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^3 + 10*(4*a^2*b^3 + 7*b^5)*cosh(x)^2 + 10*(27*b^5*cosh(x)^8 - 54*a*b^4*cosh(x)^7 + 28*(4*a^2*b^3 + 7*b^5)*cosh(x)^6 - 252*(a^3*b^2 + 2*a*b^4)*cosh(x)^5 + 4*a^2*b^3 + 7*b^5 - 120*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^3 + 90*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^4 + 36*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^2 + 36*(a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x)^2 + 960*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^5 + 5*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4*sinh(x) + 10*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3*sinh(x)^2 + 10*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2*sinh(x)^3 + 5*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^4 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^5)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 5*(12*b^5*cosh(x)^9 - 27*a*b^4*cosh(x)^8 + 16*(4*a^2*b^3 + 7*b^5)*cosh(x)^7 - 168*(a^3*b^2 + 2*a*b^4)*cosh(x)^6 - 120*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x*cosh(x)^4 + 72*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^5 + 3*a*b^4 + 48*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*cosh(x)^3 + 72*(a^3*b^2 + 2*a*b^4)*cosh(x)^2 + 4*(4*a^2*b^3 + 7*b^5)*cosh(x))*sinh(x))/(b^6*cosh(x)^5 + 5*b^6*cosh(x)^4*sinh(x) + 10*b^6*cosh(x)^3*sinh(x)^2 + 10*b^6*cosh(x)^2*sinh(x)^3 + 5*b^6*cosh(x)*sinh(x)^4 + b^6*sinh(x)^5)","B",0
189,1,865,0,0.699383," ","integrate(cosh(x)^5/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{3 \, b^{4} \cosh\left(x\right)^{8} + 3 \, b^{4} \sinh\left(x\right)^{8} - 8 \, a b^{3} \cosh\left(x\right)^{7} + 8 \, {\left(3 \, b^{4} \cosh\left(x\right) - a b^{3}\right)} \sinh\left(x\right)^{7} + 12 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(21 \, b^{4} \cosh\left(x\right)^{2} - 14 \, a b^{3} \cosh\left(x\right) + 6 \, a^{2} b^{2} + 9 \, b^{4}\right)} \sinh\left(x\right)^{6} - 192 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{4} - 24 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 24 \, {\left(7 \, b^{4} \cosh\left(x\right)^{3} - 7 \, a b^{3} \cosh\left(x\right)^{2} - 4 \, a^{3} b - 7 \, a b^{3} + 3 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a b^{3} \cosh\left(x\right) + 2 \, {\left(105 \, b^{4} \cosh\left(x\right)^{4} - 140 \, a b^{3} \cosh\left(x\right)^{3} + 90 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{2} - 96 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x - 60 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 3 \, b^{4} + 24 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(21 \, b^{4} \cosh\left(x\right)^{5} - 35 \, a b^{3} \cosh\left(x\right)^{4} + 12 \, a^{3} b + 21 \, a b^{3} + 30 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{3} - 96 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right) - 30 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 12 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(7 \, b^{4} \cosh\left(x\right)^{6} - 14 \, a b^{3} \cosh\left(x\right)^{5} + 15 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, a^{2} b^{2} + 3 \, b^{4} - 96 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{2} - 20 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 192 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4}\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left(3 \, b^{4} \cosh\left(x\right)^{7} - 7 \, a b^{3} \cosh\left(x\right)^{6} + 9 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{5} - 96 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{3} - 15 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{4} + a b^{3} + 9 \, {\left(4 \, a^{3} b + 7 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(2 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{192 \, {\left(b^{5} \cosh\left(x\right)^{4} + 4 \, b^{5} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, b^{5} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{5} \sinh\left(x\right)^{4}\right)}}"," ",0,"1/192*(3*b^4*cosh(x)^8 + 3*b^4*sinh(x)^8 - 8*a*b^3*cosh(x)^7 + 8*(3*b^4*cosh(x) - a*b^3)*sinh(x)^7 + 12*(2*a^2*b^2 + 3*b^4)*cosh(x)^6 + 4*(21*b^4*cosh(x)^2 - 14*a*b^3*cosh(x) + 6*a^2*b^2 + 9*b^4)*sinh(x)^6 - 192*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^4 - 24*(4*a^3*b + 7*a*b^3)*cosh(x)^5 + 24*(7*b^4*cosh(x)^3 - 7*a*b^3*cosh(x)^2 - 4*a^3*b - 7*a*b^3 + 3*(2*a^2*b^2 + 3*b^4)*cosh(x))*sinh(x)^5 + 8*a*b^3*cosh(x) + 2*(105*b^4*cosh(x)^4 - 140*a*b^3*cosh(x)^3 + 90*(2*a^2*b^2 + 3*b^4)*cosh(x)^2 - 96*(a^4 + 2*a^2*b^2 + b^4)*x - 60*(4*a^3*b + 7*a*b^3)*cosh(x))*sinh(x)^4 + 3*b^4 + 24*(4*a^3*b + 7*a*b^3)*cosh(x)^3 + 8*(21*b^4*cosh(x)^5 - 35*a*b^3*cosh(x)^4 + 12*a^3*b + 21*a*b^3 + 30*(2*a^2*b^2 + 3*b^4)*cosh(x)^3 - 96*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x) - 30*(4*a^3*b + 7*a*b^3)*cosh(x)^2)*sinh(x)^3 + 12*(2*a^2*b^2 + 3*b^4)*cosh(x)^2 + 12*(7*b^4*cosh(x)^6 - 14*a*b^3*cosh(x)^5 + 15*(2*a^2*b^2 + 3*b^4)*cosh(x)^4 + 2*a^2*b^2 + 3*b^4 - 96*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^2 - 20*(4*a^3*b + 7*a*b^3)*cosh(x)^3 + 6*(4*a^3*b + 7*a*b^3)*cosh(x))*sinh(x)^2 + 192*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3*sinh(x) + 6*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2*sinh(x)^2 + 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^4)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 8*(3*b^4*cosh(x)^7 - 7*a*b^3*cosh(x)^6 + 9*(2*a^2*b^2 + 3*b^4)*cosh(x)^5 - 96*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^3 - 15*(4*a^3*b + 7*a*b^3)*cosh(x)^4 + a*b^3 + 9*(4*a^3*b + 7*a*b^3)*cosh(x)^2 + 3*(2*a^2*b^2 + 3*b^4)*cosh(x))*sinh(x))/(b^5*cosh(x)^4 + 4*b^5*cosh(x)^3*sinh(x) + 6*b^5*cosh(x)^2*sinh(x)^2 + 4*b^5*cosh(x)*sinh(x)^3 + b^5*sinh(x)^4)","B",0
190,1,569,0,1.345579," ","integrate(cosh(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{b^{3} \cosh\left(x\right)^{6} + b^{3} \sinh\left(x\right)^{6} - 3 \, a b^{2} \cosh\left(x\right)^{5} + 3 \, {\left(2 \, b^{3} \cosh\left(x\right) - a b^{2}\right)} \sinh\left(x\right)^{5} - 12 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{2} - 5 \, a b^{2} \cosh\left(x\right) + 4 \, a^{2} b + 5 \, b^{3}\right)} \sinh\left(x\right)^{4} + 3 \, a b^{2} \cosh\left(x\right) + 2 \, {\left(10 \, b^{3} \cosh\left(x\right)^{3} - 15 \, a b^{2} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x + 6 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + b^{3} + 3 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{3} \cosh\left(x\right)^{4} - 10 \, a b^{2} \cosh\left(x\right)^{3} + 4 \, a^{2} b + 5 \, b^{3} - 12 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x \cosh\left(x\right) + 6 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 3 \, {\left(2 \, b^{3} \cosh\left(x\right)^{5} - 5 \, a b^{2} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)^{3} + a b^{2} + 2 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*(b^3*cosh(x)^6 + b^3*sinh(x)^6 - 3*a*b^2*cosh(x)^5 + 3*(2*b^3*cosh(x) - a*b^2)*sinh(x)^5 - 12*(2*a^3 + 3*a*b^2)*x*cosh(x)^3 + 3*(4*a^2*b + 5*b^3)*cosh(x)^4 + 3*(5*b^3*cosh(x)^2 - 5*a*b^2*cosh(x) + 4*a^2*b + 5*b^3)*sinh(x)^4 + 3*a*b^2*cosh(x) + 2*(10*b^3*cosh(x)^3 - 15*a*b^2*cosh(x)^2 - 6*(2*a^3 + 3*a*b^2)*x + 6*(4*a^2*b + 5*b^3)*cosh(x))*sinh(x)^3 + b^3 + 3*(4*a^2*b + 5*b^3)*cosh(x)^2 + 3*(5*b^3*cosh(x)^4 - 10*a*b^2*cosh(x)^3 + 4*a^2*b + 5*b^3 - 12*(2*a^3 + 3*a*b^2)*x*cosh(x) + 6*(4*a^2*b + 5*b^3)*cosh(x)^2)*sinh(x)^2 + 24*((a^2 + b^2)*cosh(x)^3 + 3*(a^2 + b^2)*cosh(x)^2*sinh(x) + 3*(a^2 + b^2)*cosh(x)*sinh(x)^2 + (a^2 + b^2)*sinh(x)^3)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 3*(2*b^3*cosh(x)^5 - 5*a*b^2*cosh(x)^4 - 12*(2*a^3 + 3*a*b^2)*x*cosh(x)^2 + 4*(4*a^2*b + 5*b^3)*cosh(x)^3 + a*b^2 + 2*(4*a^2*b + 5*b^3)*cosh(x))*sinh(x))/(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3)","B",0
191,1,221,0,0.649737," ","integrate(cosh(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} - 4 \, a b \cosh\left(x\right)^{3} - 8 \, {\left(a^{2} + b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)^{3} + 4 \, a b \cosh\left(x\right) + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} - 6 \, a b \cosh\left(x\right) - 4 \, {\left(a^{2} + b^{2}\right)} x\right)} \sinh\left(x\right)^{2} + b^{2} + 8 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} - 3 \, a b \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} + b^{2}\right)} x \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}{8 \, {\left(b^{3} \cosh\left(x\right)^{2} + 2 \, b^{3} \cosh\left(x\right) \sinh\left(x\right) + b^{3} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*(b^2*cosh(x)^4 + b^2*sinh(x)^4 - 4*a*b*cosh(x)^3 - 8*(a^2 + b^2)*x*cosh(x)^2 + 4*(b^2*cosh(x) - a*b)*sinh(x)^3 + 4*a*b*cosh(x) + 2*(3*b^2*cosh(x)^2 - 6*a*b*cosh(x) - 4*(a^2 + b^2)*x)*sinh(x)^2 + b^2 + 8*((a^2 + b^2)*cosh(x)^2 + 2*(a^2 + b^2)*cosh(x)*sinh(x) + (a^2 + b^2)*sinh(x)^2)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 4*(b^2*cosh(x)^3 - 3*a*b*cosh(x)^2 - 4*(a^2 + b^2)*x*cosh(x) + a*b)*sinh(x))/(b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2)","B",0
192,1,171,0,0.772140," ","integrate(cosh(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{2 \, a x \cosh\left(x\right) - b \cosh\left(x\right)^{2} - b \sinh\left(x\right)^{2} - 2 \, \sqrt{a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 2 \, {\left(a x - b \cosh\left(x\right)\right)} \sinh\left(x\right) - b}{2 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*a*x*cosh(x) - b*cosh(x)^2 - b*sinh(x)^2 - 2*sqrt(a^2 + b^2)*(cosh(x) + sinh(x))*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 2*(a*x - b*cosh(x))*sinh(x) - b)/(b^2*cosh(x) + b^2*sinh(x))","B",0
193,1,27,0,0.641267," ","integrate(cosh(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{x - \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b}"," ",0,"-(x - log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))))/b","B",0
194,1,57,0,1.019976," ","integrate(sech(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, a \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + b \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - b \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} + b^{2}}"," ",0,"(2*a*arctan(cosh(x) + sinh(x)) + b*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - b*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2 + b^2)","A",0
195,1,259,0,2.361588," ","integrate(sech(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{2 \, a^{3} + 2 \, a b^{2} - {\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} + b^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"-(2*a^3 + 2*a*b^2 - (b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 + b^2)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(a^2*b + b^3)*cosh(x) - 2*(a^2*b + b^3)*sinh(x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^2)","B",0
196,1,652,0,1.481715," ","integrate(sech(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{2} b + 2 \, b^{3} + 3 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{4} + a^{3} + 3 \, a b^{2} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a b^{2} + 3 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right) + {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} + 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} + b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} + b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(b^{3} \cosh\left(x\right)^{4} + 4 \, b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{3} \sinh\left(x\right)^{4} + 2 \, b^{3} \cosh\left(x\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{2} + b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} \cosh\left(x\right)^{3} + b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{3} + a b^{2} - 3 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + b^{4} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"((a^3 + a*b^2)*cosh(x)^3 + (a^3 + a*b^2)*sinh(x)^3 + 2*(a^2*b + b^3)*cosh(x)^2 + (2*a^2*b + 2*b^3 + 3*(a^3 + a*b^2)*cosh(x))*sinh(x)^2 + ((a^3 + 3*a*b^2)*cosh(x)^4 + 4*(a^3 + 3*a*b^2)*cosh(x)*sinh(x)^3 + (a^3 + 3*a*b^2)*sinh(x)^4 + a^3 + 3*a*b^2 + 2*(a^3 + 3*a*b^2)*cosh(x)^2 + 2*(a^3 + 3*a*b^2 + 3*(a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 + 3*a*b^2)*cosh(x)^3 + (a^3 + 3*a*b^2)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (a^3 + a*b^2)*cosh(x) + (b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 + 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 + b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 + b^3*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - (b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 + 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 + b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 + b^3*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) - (a^3 + a*b^2 - 3*(a^3 + a*b^2)*cosh(x)^2 - 4*(a^2*b + b^3)*cosh(x))*sinh(x))/((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^4 + a^4 + 2*a^2*b^2 + b^4 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))","B",0
197,1,1142,0,0.612847," ","integrate(sech(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{6 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{5} - 4 \, a^{5} - 14 \, a^{3} b^{2} - 10 \, a b^{4} - 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{3} b^{2} + a b^{4} - 5 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, a^{4} b + 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{4} b + 7 \, a^{2} b^{3} + 5 \, b^{5} + 15 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 12 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4} - 5 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{4} b + 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} + 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} + 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} + 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 6 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(a^{2} b^{3} + b^{5} + 5 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} b + 7 \, a^{2} b^{3} + 5 \, b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*(6*(a^2*b^3 + b^5)*cosh(x)^5 + 6*(a^2*b^3 + b^5)*sinh(x)^5 - 4*a^5 - 14*a^3*b^2 - 10*a*b^4 - 6*(a^3*b^2 + a*b^4)*cosh(x)^4 - 6*(a^3*b^2 + a*b^4 - 5*(a^2*b^3 + b^5)*cosh(x))*sinh(x)^4 + 4*(2*a^4*b + 7*a^2*b^3 + 5*b^5)*cosh(x)^3 + 4*(2*a^4*b + 7*a^2*b^3 + 5*b^5 + 15*(a^2*b^3 + b^5)*cosh(x)^2 - 6*(a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 - 12*(a^5 + 3*a^3*b^2 + 2*a*b^4)*cosh(x)^2 - 12*(a^5 + 3*a^3*b^2 + 2*a*b^4 - 5*(a^2*b^3 + b^5)*cosh(x)^3 + 3*(a^3*b^2 + a*b^4)*cosh(x)^2 - (2*a^4*b + 7*a^2*b^3 + 5*b^5)*cosh(x))*sinh(x)^2 + 3*(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 + 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 + b^4)*sinh(x)^4 + b^4 + 4*(5*b^4*cosh(x)^3 + 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 + 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 + 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 6*(a^2*b^3 + b^5)*cosh(x) + 6*(a^2*b^3 + b^5 + 5*(a^2*b^3 + b^5)*cosh(x)^4 - 4*(a^3*b^2 + a*b^4)*cosh(x)^3 + 2*(2*a^4*b + 7*a^2*b^3 + 5*b^5)*cosh(x)^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*cosh(x))*sinh(x))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^5 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
198,1,2707,0,1.694146," ","integrate(sech(x)^5/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{7} + {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \sinh\left(x\right)^{7} + 8 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + {\left(8 \, a^{2} b^{3} + 8 \, b^{5} + 7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4} + 21 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 48 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 16 \, {\left(a^{4} b + 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + {\left(16 \, a^{4} b + 48 \, a^{2} b^{3} + 32 \, b^{5} + 35 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 120 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4} - 35 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 160 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 10 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 64 \, {\left(a^{4} b + 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 8 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + {\left(21 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 8 \, a^{2} b^{3} + 8 \, b^{5} + 120 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 96 \, {\left(a^{4} b + 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4} + 7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4} + 6 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(9 \, a^{5} + 30 \, a^{3} b^{2} + 45 \, a b^{4} + 35 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4} + 15 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right) + 4 \, {\left(b^{5} \cosh\left(x\right)^{8} + 8 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + b^{5} \sinh\left(x\right)^{8} + 4 \, b^{5} \cosh\left(x\right)^{6} + 6 \, b^{5} \cosh\left(x\right)^{4} + 4 \, b^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + b^{5} + 2 \, {\left(35 \, b^{5} \cosh\left(x\right)^{4} + 30 \, b^{5} \cosh\left(x\right)^{2} + 3 \, b^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{5} + 10 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{6} + 15 \, b^{5} \cosh\left(x\right)^{4} + 9 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{5} \cosh\left(x\right)^{7} + 3 \, b^{5} \cosh\left(x\right)^{5} + 3 \, b^{5} \cosh\left(x\right)^{3} + b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 4 \, {\left(b^{5} \cosh\left(x\right)^{8} + 8 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + b^{5} \sinh\left(x\right)^{8} + 4 \, b^{5} \cosh\left(x\right)^{6} + 6 \, b^{5} \cosh\left(x\right)^{4} + 4 \, b^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + b^{5} + 2 \, {\left(35 \, b^{5} \cosh\left(x\right)^{4} + 30 \, b^{5} \cosh\left(x\right)^{2} + 3 \, b^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, b^{5} \cosh\left(x\right)^{5} + 10 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, b^{5} \cosh\left(x\right)^{6} + 15 \, b^{5} \cosh\left(x\right)^{4} + 9 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{5} \cosh\left(x\right)^{7} + 3 \, b^{5} \cosh\left(x\right)^{5} + 3 \, b^{5} \cosh\left(x\right)^{3} + b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 48 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} - 3 \, a^{5} - 10 \, a^{3} b^{2} - 7 \, a b^{4} + 5 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 64 \, {\left(a^{4} b + 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(11 \, a^{5} + 26 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 16 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{4 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} + 9 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 3 \, b^{6} + 35 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/4*((3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^7 + (3*a^5 + 10*a^3*b^2 + 7*a*b^4)*sinh(x)^7 + 8*(a^2*b^3 + b^5)*cosh(x)^6 + (8*a^2*b^3 + 8*b^5 + 7*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x))*sinh(x)^6 + (11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + (11*a^5 + 26*a^3*b^2 + 15*a*b^4 + 21*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^2 + 48*(a^2*b^3 + b^5)*cosh(x))*sinh(x)^5 + 16*(a^4*b + 3*a^2*b^3 + 2*b^5)*cosh(x)^4 + (16*a^4*b + 48*a^2*b^3 + 32*b^5 + 35*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^3 + 120*(a^2*b^3 + b^5)*cosh(x)^2 + 5*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^4 - (11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - (11*a^5 + 26*a^3*b^2 + 15*a*b^4 - 35*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^4 - 160*(a^2*b^3 + b^5)*cosh(x)^3 - 10*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^2 - 64*(a^4*b + 3*a^2*b^3 + 2*b^5)*cosh(x))*sinh(x)^3 + 8*(a^2*b^3 + b^5)*cosh(x)^2 + (21*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^5 + 8*a^2*b^3 + 8*b^5 + 120*(a^2*b^3 + b^5)*cosh(x)^4 + 10*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 96*(a^4*b + 3*a^2*b^3 + 2*b^5)*cosh(x)^2 - 3*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^2 + ((3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 8*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)*sinh(x)^7 + (3*a^5 + 10*a^3*b^2 + 15*a*b^4)*sinh(x)^8 + 4*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 4*(3*a^5 + 10*a^3*b^2 + 15*a*b^4 + 7*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 3*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^5 + 3*a^5 + 10*a^3*b^2 + 15*a*b^4 + 6*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 2*(9*a^5 + 30*a^3*b^2 + 45*a*b^4 + 35*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 30*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^4 + 8*(7*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 10*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 3*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^3 + 4*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 4*(7*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 3*a^5 + 10*a^3*b^2 + 15*a*b^4 + 15*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 9*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^7 + 3*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 3*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (3*a^5 + 10*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x) + 4*(b^5*cosh(x)^8 + 8*b^5*cosh(x)*sinh(x)^7 + b^5*sinh(x)^8 + 4*b^5*cosh(x)^6 + 6*b^5*cosh(x)^4 + 4*b^5*cosh(x)^2 + 4*(7*b^5*cosh(x)^2 + b^5)*sinh(x)^6 + 8*(7*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^5 + b^5 + 2*(35*b^5*cosh(x)^4 + 30*b^5*cosh(x)^2 + 3*b^5)*sinh(x)^4 + 8*(7*b^5*cosh(x)^5 + 10*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^3 + 4*(7*b^5*cosh(x)^6 + 15*b^5*cosh(x)^4 + 9*b^5*cosh(x)^2 + b^5)*sinh(x)^2 + 8*(b^5*cosh(x)^7 + 3*b^5*cosh(x)^5 + 3*b^5*cosh(x)^3 + b^5*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - 4*(b^5*cosh(x)^8 + 8*b^5*cosh(x)*sinh(x)^7 + b^5*sinh(x)^8 + 4*b^5*cosh(x)^6 + 6*b^5*cosh(x)^4 + 4*b^5*cosh(x)^2 + 4*(7*b^5*cosh(x)^2 + b^5)*sinh(x)^6 + 8*(7*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^5 + b^5 + 2*(35*b^5*cosh(x)^4 + 30*b^5*cosh(x)^2 + 3*b^5)*sinh(x)^4 + 8*(7*b^5*cosh(x)^5 + 10*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^3 + 4*(7*b^5*cosh(x)^6 + 15*b^5*cosh(x)^4 + 9*b^5*cosh(x)^2 + b^5)*sinh(x)^2 + 8*(b^5*cosh(x)^7 + 3*b^5*cosh(x)^5 + 3*b^5*cosh(x)^3 + b^5*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (7*(3*a^5 + 10*a^3*b^2 + 7*a*b^4)*cosh(x)^6 + 48*(a^2*b^3 + b^5)*cosh(x)^5 - 3*a^5 - 10*a^3*b^2 - 7*a*b^4 + 5*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 64*(a^4*b + 3*a^2*b^3 + 2*b^5)*cosh(x)^3 - 3*(11*a^5 + 26*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 16*(a^2*b^3 + b^5)*cosh(x))*sinh(x))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^8 + 8*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^7 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^8 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^5 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 2*(3*a^6 + 9*a^4*b^2 + 9*a^2*b^4 + 3*b^6 + 35*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 30*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 4*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 8*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^7 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
199,1,3175,0,2.854749," ","integrate(sech(x)^6/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{30 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{9} + 30 \, {\left(a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{9} - 30 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{8} - 30 \, {\left(a^{3} b^{4} + a b^{6} - 9 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 40 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{7} + 40 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7} + 27 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 16 \, a^{7} - 68 \, a^{5} b^{2} - 118 \, a^{3} b^{4} - 66 \, a b^{6} - 60 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{6} - 20 \, {\left(3 \, a^{5} b^{2} + 12 \, a^{3} b^{4} + 9 \, a b^{6} - 126 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 42 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} - 14 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 4 \, {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7} + 945 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - 420 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 210 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 90 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 20 \, {\left(8 \, a^{7} + 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} + 24 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(8 \, a^{7} + 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} + 24 \, a b^{6} - 189 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{5} + 105 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} - 70 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 40 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 40 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7} + 63 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{6} - 42 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(8 \, a^{7} + 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} + 24 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 20 \, {\left(4 \, a^{7} + 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} + 15 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(54 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{7} - 4 \, a^{7} - 17 \, a^{5} b^{2} - 28 \, a^{3} b^{4} - 15 \, a b^{6} - 42 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{6} + 42 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{5} - 45 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(8 \, a^{7} + 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} + 24 \, a b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 15 \, {\left(b^{6} \cosh\left(x\right)^{10} + 10 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + b^{6} \sinh\left(x\right)^{10} + 5 \, b^{6} \cosh\left(x\right)^{8} + 10 \, b^{6} \cosh\left(x\right)^{6} + 10 \, b^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{8} + 5 \, b^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{4} + 14 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} + b^{6} + 4 \, {\left(63 \, b^{6} \cosh\left(x\right)^{5} + 70 \, b^{6} \cosh\left(x\right)^{3} + 15 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{6} + 35 \, b^{6} \cosh\left(x\right)^{4} + 15 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{7} + 7 \, b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{8} + 28 \, b^{6} \cosh\left(x\right)^{6} + 30 \, b^{6} \cosh\left(x\right)^{4} + 12 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(b^{6} \cosh\left(x\right)^{9} + 4 \, b^{6} \cosh\left(x\right)^{7} + 6 \, b^{6} \cosh\left(x\right)^{5} + 4 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 30 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right) + 10 \, {\left(27 \, {\left(a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{8} - 24 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, a^{2} b^{5} + 3 \, b^{7} + 28 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 36 \, {\left(a^{5} b^{2} + 4 \, a^{3} b^{4} + 3 \, a b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(24 \, a^{6} b + 92 \, a^{4} b^{3} + 157 \, a^{2} b^{5} + 89 \, b^{7}\right)} \cosh\left(x\right)^{4} - 8 \, {\left(8 \, a^{7} + 31 \, a^{5} b^{2} + 47 \, a^{3} b^{4} + 24 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(a^{4} b^{3} + 5 \, a^{2} b^{5} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, a^{7} + 17 \, a^{5} b^{2} + 28 \, a^{3} b^{4} + 15 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{15 \, {\left({\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \sinh\left(x\right)^{10} + 5 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8} + 9 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8} + 40 \, {\left(3 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8} + 21 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8} + 21 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{8} + a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8} + 28 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{9} + 4 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)^{3} + {\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/15*(30*(a^2*b^5 + b^7)*cosh(x)^9 + 30*(a^2*b^5 + b^7)*sinh(x)^9 - 30*(a^3*b^4 + a*b^6)*cosh(x)^8 - 30*(a^3*b^4 + a*b^6 - 9*(a^2*b^5 + b^7)*cosh(x))*sinh(x)^8 + 40*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^7 + 40*(a^4*b^3 + 5*a^2*b^5 + 4*b^7 + 27*(a^2*b^5 + b^7)*cosh(x)^2 - 6*(a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^7 - 16*a^7 - 68*a^5*b^2 - 118*a^3*b^4 - 66*a*b^6 - 60*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x)^6 - 20*(3*a^5*b^2 + 12*a^3*b^4 + 9*a*b^6 - 126*(a^2*b^5 + b^7)*cosh(x)^3 + 42*(a^3*b^4 + a*b^6)*cosh(x)^2 - 14*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^6 + 4*(24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7)*cosh(x)^5 + 4*(24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7 + 945*(a^2*b^5 + b^7)*cosh(x)^4 - 420*(a^3*b^4 + a*b^6)*cosh(x)^3 + 210*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 90*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x))*sinh(x)^5 - 20*(8*a^7 + 31*a^5*b^2 + 47*a^3*b^4 + 24*a*b^6)*cosh(x)^4 - 20*(8*a^7 + 31*a^5*b^2 + 47*a^3*b^4 + 24*a*b^6 - 189*(a^2*b^5 + b^7)*cosh(x)^5 + 105*(a^3*b^4 + a*b^6)*cosh(x)^4 - 70*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 45*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x)^2 - (24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7)*cosh(x))*sinh(x)^4 + 40*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^3 + 40*(a^4*b^3 + 5*a^2*b^5 + 4*b^7 + 63*(a^2*b^5 + b^7)*cosh(x)^6 - 42*(a^3*b^4 + a*b^6)*cosh(x)^5 + 35*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^4 - 30*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x)^3 + (24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7)*cosh(x)^2 - 2*(8*a^7 + 31*a^5*b^2 + 47*a^3*b^4 + 24*a*b^6)*cosh(x))*sinh(x)^3 - 20*(4*a^7 + 17*a^5*b^2 + 28*a^3*b^4 + 15*a*b^6)*cosh(x)^2 + 20*(54*(a^2*b^5 + b^7)*cosh(x)^7 - 4*a^7 - 17*a^5*b^2 - 28*a^3*b^4 - 15*a*b^6 - 42*(a^3*b^4 + a*b^6)*cosh(x)^6 + 42*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^5 - 45*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x)^4 + 2*(24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7)*cosh(x)^3 - 6*(8*a^7 + 31*a^5*b^2 + 47*a^3*b^4 + 24*a*b^6)*cosh(x)^2 + 6*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x))*sinh(x)^2 + 15*(b^6*cosh(x)^10 + 10*b^6*cosh(x)*sinh(x)^9 + b^6*sinh(x)^10 + 5*b^6*cosh(x)^8 + 10*b^6*cosh(x)^6 + 10*b^6*cosh(x)^4 + 5*(9*b^6*cosh(x)^2 + b^6)*sinh(x)^8 + 5*b^6*cosh(x)^2 + 40*(3*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^7 + 10*(21*b^6*cosh(x)^4 + 14*b^6*cosh(x)^2 + b^6)*sinh(x)^6 + b^6 + 4*(63*b^6*cosh(x)^5 + 70*b^6*cosh(x)^3 + 15*b^6*cosh(x))*sinh(x)^5 + 10*(21*b^6*cosh(x)^6 + 35*b^6*cosh(x)^4 + 15*b^6*cosh(x)^2 + b^6)*sinh(x)^4 + 40*(3*b^6*cosh(x)^7 + 7*b^6*cosh(x)^5 + 5*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^3 + 5*(9*b^6*cosh(x)^8 + 28*b^6*cosh(x)^6 + 30*b^6*cosh(x)^4 + 12*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 10*(b^6*cosh(x)^9 + 4*b^6*cosh(x)^7 + 6*b^6*cosh(x)^5 + 4*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 30*(a^2*b^5 + b^7)*cosh(x) + 10*(27*(a^2*b^5 + b^7)*cosh(x)^8 - 24*(a^3*b^4 + a*b^6)*cosh(x)^7 + 3*a^2*b^5 + 3*b^7 + 28*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^6 - 36*(a^5*b^2 + 4*a^3*b^4 + 3*a*b^6)*cosh(x)^5 + 2*(24*a^6*b + 92*a^4*b^3 + 157*a^2*b^5 + 89*b^7)*cosh(x)^4 - 8*(8*a^7 + 31*a^5*b^2 + 47*a^3*b^4 + 24*a*b^6)*cosh(x)^3 + 12*(a^4*b^3 + 5*a^2*b^5 + 4*b^7)*cosh(x)^2 - 4*(4*a^7 + 17*a^5*b^2 + 28*a^3*b^4 + 15*a*b^6)*cosh(x))*sinh(x))/((a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^10 + 10*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)*sinh(x)^9 + (a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*sinh(x)^10 + 5*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^8 + 5*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8 + 9*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^8 + a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8 + 40*(3*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^3 + (a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^7 + 10*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^6 + 10*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8 + 21*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^4 + 14*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^5 + 70*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^3 + 15*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^5 + 10*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^4 + 10*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8 + 21*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^6 + 35*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^4 + 15*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^7 + 7*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^5 + 5*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^3 + (a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x))*sinh(x)^3 + 5*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^2 + 5*(9*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^8 + a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8 + 28*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^6 + 30*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^4 + 12*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^2)*sinh(x)^2 + 10*((a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^9 + 4*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^7 + 6*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^5 + 4*(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x)^3 + (a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*cosh(x))*sinh(x))","B",0
200,1,833,0,0.540516," ","integrate(cosh(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{b^{3} \cosh\left(x\right)^{6} + b^{3} \sinh\left(x\right)^{6} - 6 \, a b^{2} \cosh\left(x\right)^{5} + 6 \, {\left(b^{3} \cosh\left(x\right) - a b^{2}\right)} \sinh\left(x\right)^{5} - {\left(16 \, a^{2} b + b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)^{4} + {\left(15 \, b^{3} \cosh\left(x\right)^{2} - 30 \, a b^{2} \cosh\left(x\right) - 16 \, a^{2} b - b^{3} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \sinh\left(x\right)^{4} + 6 \, a b^{2} \cosh\left(x\right) + 8 \, {\left(2 \, a^{3} + 2 \, a b^{2} + 3 \, {\left(2 \, a^{3} + a b^{2}\right)} x\right)} \cosh\left(x\right)^{3} + 4 \, {\left(5 \, b^{3} \cosh\left(x\right)^{3} - 15 \, a b^{2} \cosh\left(x\right)^{2} + 4 \, a^{3} + 4 \, a b^{2} + 6 \, {\left(2 \, a^{3} + a b^{2}\right)} x - {\left(16 \, a^{2} b + b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + b^{3} - {\left(32 \, a^{2} b + 17 \, b^{3} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)^{2} + {\left(15 \, b^{3} \cosh\left(x\right)^{4} - 60 \, a b^{2} \cosh\left(x\right)^{3} - 32 \, a^{2} b - 17 \, b^{3} - 6 \, {\left(16 \, a^{2} b + b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)^{2} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x + 24 \, {\left(2 \, a^{3} + 2 \, a b^{2} + 3 \, {\left(2 \, a^{3} + a b^{2}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 24 \, {\left(a b \cosh\left(x\right)^{4} + a b \sinh\left(x\right)^{4} + 2 \, a^{2} \cosh\left(x\right)^{3} - a b \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)^{3} + {\left(6 \, a b \cosh\left(x\right)^{2} + 6 \, a^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, a b \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right)^{2} - a b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 2 \, {\left(3 \, b^{3} \cosh\left(x\right)^{5} - 15 \, a b^{2} \cosh\left(x\right)^{4} - 2 \, {\left(16 \, a^{2} b + b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)^{3} + 3 \, a b^{2} + 12 \, {\left(2 \, a^{3} + 2 \, a b^{2} + 3 \, {\left(2 \, a^{3} + a b^{2}\right)} x\right)} \cosh\left(x\right)^{2} - {\left(32 \, a^{2} b + 17 \, b^{3} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left(b^{5} \cosh\left(x\right)^{4} + b^{5} \sinh\left(x\right)^{4} + 2 \, a b^{4} \cosh\left(x\right)^{3} - b^{5} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, b^{5} \cosh\left(x\right) + a b^{4}\right)} \sinh\left(x\right)^{3} + {\left(6 \, b^{5} \cosh\left(x\right)^{2} + 6 \, a b^{4} \cosh\left(x\right) - b^{5}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, b^{5} \cosh\left(x\right)^{3} + 3 \, a b^{4} \cosh\left(x\right)^{2} - b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*(b^3*cosh(x)^6 + b^3*sinh(x)^6 - 6*a*b^2*cosh(x)^5 + 6*(b^3*cosh(x) - a*b^2)*sinh(x)^5 - (16*a^2*b + b^3 - 12*(2*a^2*b + b^3)*x)*cosh(x)^4 + (15*b^3*cosh(x)^2 - 30*a*b^2*cosh(x) - 16*a^2*b - b^3 + 12*(2*a^2*b + b^3)*x)*sinh(x)^4 + 6*a*b^2*cosh(x) + 8*(2*a^3 + 2*a*b^2 + 3*(2*a^3 + a*b^2)*x)*cosh(x)^3 + 4*(5*b^3*cosh(x)^3 - 15*a*b^2*cosh(x)^2 + 4*a^3 + 4*a*b^2 + 6*(2*a^3 + a*b^2)*x - (16*a^2*b + b^3 - 12*(2*a^2*b + b^3)*x)*cosh(x))*sinh(x)^3 + b^3 - (32*a^2*b + 17*b^3 + 12*(2*a^2*b + b^3)*x)*cosh(x)^2 + (15*b^3*cosh(x)^4 - 60*a*b^2*cosh(x)^3 - 32*a^2*b - 17*b^3 - 6*(16*a^2*b + b^3 - 12*(2*a^2*b + b^3)*x)*cosh(x)^2 - 12*(2*a^2*b + b^3)*x + 24*(2*a^3 + 2*a*b^2 + 3*(2*a^3 + a*b^2)*x)*cosh(x))*sinh(x)^2 + 24*(a*b*cosh(x)^4 + a*b*sinh(x)^4 + 2*a^2*cosh(x)^3 - a*b*cosh(x)^2 + 2*(2*a*b*cosh(x) + a^2)*sinh(x)^3 + (6*a*b*cosh(x)^2 + 6*a^2*cosh(x) - a*b)*sinh(x)^2 + 2*(2*a*b*cosh(x)^3 + 3*a^2*cosh(x)^2 - a*b*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 2*(3*b^3*cosh(x)^5 - 15*a*b^2*cosh(x)^4 - 2*(16*a^2*b + b^3 - 12*(2*a^2*b + b^3)*x)*cosh(x)^3 + 3*a*b^2 + 12*(2*a^3 + 2*a*b^2 + 3*(2*a^3 + a*b^2)*x)*cosh(x)^2 - (32*a^2*b + 17*b^3 + 12*(2*a^2*b + b^3)*x)*cosh(x))*sinh(x))/(b^5*cosh(x)^4 + b^5*sinh(x)^4 + 2*a*b^4*cosh(x)^3 - b^5*cosh(x)^2 + 2*(2*b^5*cosh(x) + a*b^4)*sinh(x)^3 + (6*b^5*cosh(x)^2 + 6*a*b^4*cosh(x) - b^5)*sinh(x)^2 + 2*(2*b^5*cosh(x)^3 + 3*a*b^4*cosh(x)^2 - b^5*cosh(x))*sinh(x))","B",0
201,1,370,0,0.831242," ","integrate(cosh(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a b x + a b\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a b x + 2 \, b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, a^{2} x - 2 \, a^{2} - 3 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 4 \, a^{2} x - 2 \, a^{2} - 3 \, b^{2} + 3 \, {\left(2 \, a b x + a b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, {\left(2 \, a b x + a b\right)} \cosh\left(x\right) - 4 \, {\left(a b \cosh\left(x\right)^{3} + a b \sinh\left(x\right)^{3} + 2 \, a^{2} \cosh\left(x\right)^{2} - a b \cosh\left(x\right) + {\left(3 \, a b \cosh\left(x\right) + 2 \, a^{2}\right)} \sinh\left(x\right)^{2} + {\left(3 \, a b \cosh\left(x\right)^{2} + 4 \, a^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(2 \, b^{2} \cosh\left(x\right)^{3} - 2 \, a b x + 3 \, {\left(2 \, a b x + a b\right)} \cosh\left(x\right)^{2} - a b + 2 \, {\left(4 \, a^{2} x - 2 \, a^{2} - 3 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(b^{4} \cosh\left(x\right)^{3} + b^{4} \sinh\left(x\right)^{3} + 2 \, a b^{3} \cosh\left(x\right)^{2} - b^{4} \cosh\left(x\right) + {\left(3 \, b^{4} \cosh\left(x\right) + 2 \, a b^{3}\right)} \sinh\left(x\right)^{2} + {\left(3 \, b^{4} \cosh\left(x\right)^{2} + 4 \, a b^{3} \cosh\left(x\right) - b^{4}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(b^2*cosh(x)^4 + b^2*sinh(x)^4 + 2*(2*a*b*x + a*b)*cosh(x)^3 + 2*(2*a*b*x + 2*b^2*cosh(x) + a*b)*sinh(x)^3 + 2*(4*a^2*x - 2*a^2 - 3*b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 4*a^2*x - 2*a^2 - 3*b^2 + 3*(2*a*b*x + a*b)*cosh(x))*sinh(x)^2 + b^2 - 2*(2*a*b*x + a*b)*cosh(x) - 4*(a*b*cosh(x)^3 + a*b*sinh(x)^3 + 2*a^2*cosh(x)^2 - a*b*cosh(x) + (3*a*b*cosh(x) + 2*a^2)*sinh(x)^2 + (3*a*b*cosh(x)^2 + 4*a^2*cosh(x) - a*b)*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 2*(2*b^2*cosh(x)^3 - 2*a*b*x + 3*(2*a*b*x + a*b)*cosh(x)^2 - a*b + 2*(4*a^2*x - 2*a^2 - 3*b^2)*cosh(x))*sinh(x))/(b^4*cosh(x)^3 + b^4*sinh(x)^3 + 2*a*b^3*cosh(x)^2 - b^4*cosh(x) + (3*b^4*cosh(x) + 2*a*b^3)*sinh(x)^2 + (3*b^4*cosh(x)^2 + 4*a*b^3*cosh(x) - b^4)*sinh(x))","B",0
202,1,362,0,2.986998," ","integrate(cosh(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{{\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right)^{2} + {\left(a^{2} b + b^{3}\right)} x \sinh\left(x\right)^{2} - 2 \, a^{2} b - 2 \, b^{3} + {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) - a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(a^{2} b + b^{3}\right)} x + 2 \, {\left(a^{3} + a b^{2} + {\left(a^{3} + a b^{2}\right)} x\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} + a b^{2} + {\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right) + {\left(a^{3} + a b^{2}\right)} x\right)} \sinh\left(x\right)}{a^{2} b^{3} + b^{5} - {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} b^{2} + a b^{4} + {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-((a^2*b + b^3)*x*cosh(x)^2 + (a^2*b + b^3)*x*sinh(x)^2 - 2*a^2*b - 2*b^3 + (a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) - a*b + 2*(a*b*cosh(x) + a^2)*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (a^2*b + b^3)*x + 2*(a^3 + a*b^2 + (a^3 + a*b^2)*x)*cosh(x) + 2*(a^3 + a*b^2 + (a^2*b + b^3)*x*cosh(x) + (a^3 + a*b^2)*x)*sinh(x))/(a^2*b^3 + b^5 - (a^2*b^3 + b^5)*cosh(x)^2 - (a^2*b^3 + b^5)*sinh(x)^2 - 2*(a^3*b^2 + a*b^4)*cosh(x) - 2*(a^3*b^2 + a*b^4 + (a^2*b^3 + b^5)*cosh(x))*sinh(x))","B",0
203,1,51,0,0.658059," ","integrate(cosh(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}"," ",0,"-2*(cosh(x) + sinh(x))/(b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x))","B",0
204,1,383,0,0.508960," ","integrate(sech(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left({\left(a^{2} b - b^{3} - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) - {\left(a b^{2} \cosh\left(x\right)^{2} + a b^{2} \sinh\left(x\right)^{2} + 2 \, a^{2} b \cosh\left(x\right) - a b^{2} + 2 \, {\left(a b^{2} \cosh\left(x\right) + a^{2} b\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a b^{2} \cosh\left(x\right)^{2} + a b^{2} \sinh\left(x\right)^{2} + 2 \, a^{2} b \cosh\left(x\right) - a b^{2} + 2 \, {\left(a b^{2} \cosh\left(x\right) + a^{2} b\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"2*((a^2*b - b^3 - (a^2*b - b^3)*cosh(x)^2 - (a^2*b - b^3)*sinh(x)^2 - 2*(a^3 - a*b^2)*cosh(x) - 2*(a^3 - a*b^2 + (a^2*b - b^3)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + (a^2*b + b^3)*cosh(x) - (a*b^2*cosh(x)^2 + a*b^2*sinh(x)^2 + 2*a^2*b*cosh(x) - a*b^2 + 2*(a*b^2*cosh(x) + a^2*b)*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + (a*b^2*cosh(x)^2 + a*b^2*sinh(x)^2 + 2*a^2*b*cosh(x) - a*b^2 + 2*(a*b^2*cosh(x) + a^2*b)*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (a^2*b + b^3)*sinh(x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 - (a^4*b + 2*a^2*b^3 + b^5)*sinh(x)^2 - 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x) - 2*(a^5 + 2*a^3*b^2 + a*b^4 + (a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))","B",0
205,1,802,0,1.936376," ","integrate(sech(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, a^{4} b - 2 \, a^{2} b^{3} - 4 \, b^{5} + 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b + a^{2} b^{3} + 3 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(a b^{3} \cosh\left(x\right)^{4} + a b^{3} \sinh\left(x\right)^{4} + 2 \, a^{2} b^{2} \cosh\left(x\right)^{3} + 2 \, a^{2} b^{2} \cosh\left(x\right) - a b^{3} + 2 \, {\left(2 \, a b^{3} \cosh\left(x\right) + a^{2} b^{2}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a b^{3} \cosh\left(x\right)^{2} + a^{2} b^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, a b^{3} \cosh\left(x\right)^{3} + 3 \, a^{2} b^{2} \cosh\left(x\right)^{2} + a^{2} b^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(2 \, a^{5} + a^{3} b^{2} - a b^{4} - 9 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 6 \, {\left({\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}"," ",0,"-(2*a^4*b - 2*a^2*b^3 - 4*b^5 + 6*(a^3*b^2 + a*b^4)*cosh(x)^3 + 6*(a^3*b^2 + a*b^4)*sinh(x)^3 + 6*(a^4*b + a^2*b^3)*cosh(x)^2 + 6*(a^4*b + a^2*b^3 + 3*(a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^2 + 3*(a*b^3*cosh(x)^4 + a*b^3*sinh(x)^4 + 2*a^2*b^2*cosh(x)^3 + 2*a^2*b^2*cosh(x) - a*b^3 + 2*(2*a*b^3*cosh(x) + a^2*b^2)*sinh(x)^3 + 6*(a*b^3*cosh(x)^2 + a^2*b^2*cosh(x))*sinh(x)^2 + 2*(2*a*b^3*cosh(x)^3 + 3*a^2*b^2*cosh(x)^2 + a^2*b^2)*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(2*a^5 + a^3*b^2 - a*b^4)*cosh(x) - 2*(2*a^5 + a^3*b^2 - a*b^4 - 9*(a^3*b^2 + a*b^4)*cosh(x)^2 - 6*(a^4*b + a^2*b^3)*cosh(x))*sinh(x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*sinh(x)^4 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 - 6*((a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x) - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x))","B",0
206,1,2615,0,1.705681," ","integrate(sech(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{{\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \sinh\left(x\right)^{5} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} + {\left(2 \, a^{5} + 4 \, a^{3} b^{2} + 2 \, a b^{4} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3} - b^{5} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} - 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{6} + {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4} + 3 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{4} b - 6 \, a^{2} b^{3} + 3 \, b^{5} + {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5} + 15 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4} + 5 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5} - 15 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4} + 5 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{5} + 6 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 6 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right) + 4 \, {\left(a b^{4} \cosh\left(x\right)^{6} + a b^{4} \sinh\left(x\right)^{6} + 2 \, a^{2} b^{3} \cosh\left(x\right)^{5} + a b^{4} \cosh\left(x\right)^{4} + 4 \, a^{2} b^{3} \cosh\left(x\right)^{3} - a b^{4} \cosh\left(x\right)^{2} + 2 \, a^{2} b^{3} \cosh\left(x\right) + 2 \, {\left(3 \, a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)^{5} - a b^{4} + {\left(15 \, a b^{4} \cosh\left(x\right)^{2} + 10 \, a^{2} b^{3} \cosh\left(x\right) + a b^{4}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a b^{4} \cosh\left(x\right)^{3} + 5 \, a^{2} b^{3} \cosh\left(x\right)^{2} + a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)^{3} + {\left(15 \, a b^{4} \cosh\left(x\right)^{4} + 20 \, a^{2} b^{3} \cosh\left(x\right)^{3} + 6 \, a b^{4} \cosh\left(x\right)^{2} + 12 \, a^{2} b^{3} \cosh\left(x\right) - a b^{4}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a b^{4} \cosh\left(x\right)^{5} + 5 \, a^{2} b^{3} \cosh\left(x\right)^{4} + 2 \, a b^{4} \cosh\left(x\right)^{3} + 6 \, a^{2} b^{3} \cosh\left(x\right)^{2} - a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 4 \, {\left(a b^{4} \cosh\left(x\right)^{6} + a b^{4} \sinh\left(x\right)^{6} + 2 \, a^{2} b^{3} \cosh\left(x\right)^{5} + a b^{4} \cosh\left(x\right)^{4} + 4 \, a^{2} b^{3} \cosh\left(x\right)^{3} - a b^{4} \cosh\left(x\right)^{2} + 2 \, a^{2} b^{3} \cosh\left(x\right) + 2 \, {\left(3 \, a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)^{5} - a b^{4} + {\left(15 \, a b^{4} \cosh\left(x\right)^{2} + 10 \, a^{2} b^{3} \cosh\left(x\right) + a b^{4}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a b^{4} \cosh\left(x\right)^{3} + 5 \, a^{2} b^{3} \cosh\left(x\right)^{2} + a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)^{3} + {\left(15 \, a b^{4} \cosh\left(x\right)^{4} + 20 \, a^{2} b^{3} \cosh\left(x\right)^{3} + 6 \, a b^{4} \cosh\left(x\right)^{2} + 12 \, a^{2} b^{3} \cosh\left(x\right) - a b^{4}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a b^{4} \cosh\left(x\right)^{5} + 5 \, a^{2} b^{3} \cosh\left(x\right)^{4} + 2 \, a b^{4} \cosh\left(x\right)^{3} + 6 \, a^{2} b^{3} \cosh\left(x\right)^{2} - a b^{4} \cosh\left(x\right) + a^{2} b^{3}\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 8 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{6} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{6} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} + 15 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 5 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - 15 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-((a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x)^5 + (a^4*b - 2*a^2*b^3 - 3*b^5)*sinh(x)^5 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^4 + (2*a^5 + 4*a^3*b^2 + 2*a*b^4 + 5*(a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^4 + 2*(3*a^4*b + 2*a^2*b^3 - b^5)*cosh(x)^3 + 2*(3*a^4*b + 2*a^2*b^3 - b^5 + 5*(a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x)^2 + 4*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 - 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^2 - 2*(a^5 + 2*a^3*b^2 + a*b^4 - 5*(a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x)^3 - 6*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^2 - 3*(3*a^4*b + 2*a^2*b^3 - b^5)*cosh(x))*sinh(x)^2 + ((a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^6 + (a^4*b + 6*a^2*b^3 - 3*b^5)*sinh(x)^6 + 2*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^5 + 2*(a^5 + 6*a^3*b^2 - 3*a*b^4 + 3*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^5 - a^4*b - 6*a^2*b^3 + 3*b^5 + (a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^4 + (a^4*b + 6*a^2*b^3 - 3*b^5 + 15*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^2 + 10*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x))*sinh(x)^4 + 4*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^3 + 4*(a^5 + 6*a^3*b^2 - 3*a*b^4 + 5*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^3 + 5*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^2 + (a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^3 - (a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^2 - (a^4*b + 6*a^2*b^3 - 3*b^5 - 15*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^4 - 20*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^3 - 6*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^2 - 12*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x))*sinh(x)^2 + 2*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x) + 2*(3*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^5 + a^5 + 6*a^3*b^2 - 3*a*b^4 + 5*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^4 + 2*(a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x)^3 + 6*(a^5 + 6*a^3*b^2 - 3*a*b^4)*cosh(x)^2 - (a^4*b + 6*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + (a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x) + 4*(a*b^4*cosh(x)^6 + a*b^4*sinh(x)^6 + 2*a^2*b^3*cosh(x)^5 + a*b^4*cosh(x)^4 + 4*a^2*b^3*cosh(x)^3 - a*b^4*cosh(x)^2 + 2*a^2*b^3*cosh(x) + 2*(3*a*b^4*cosh(x) + a^2*b^3)*sinh(x)^5 - a*b^4 + (15*a*b^4*cosh(x)^2 + 10*a^2*b^3*cosh(x) + a*b^4)*sinh(x)^4 + 4*(5*a*b^4*cosh(x)^3 + 5*a^2*b^3*cosh(x)^2 + a*b^4*cosh(x) + a^2*b^3)*sinh(x)^3 + (15*a*b^4*cosh(x)^4 + 20*a^2*b^3*cosh(x)^3 + 6*a*b^4*cosh(x)^2 + 12*a^2*b^3*cosh(x) - a*b^4)*sinh(x)^2 + 2*(3*a*b^4*cosh(x)^5 + 5*a^2*b^3*cosh(x)^4 + 2*a*b^4*cosh(x)^3 + 6*a^2*b^3*cosh(x)^2 - a*b^4*cosh(x) + a^2*b^3)*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - 4*(a*b^4*cosh(x)^6 + a*b^4*sinh(x)^6 + 2*a^2*b^3*cosh(x)^5 + a*b^4*cosh(x)^4 + 4*a^2*b^3*cosh(x)^3 - a*b^4*cosh(x)^2 + 2*a^2*b^3*cosh(x) + 2*(3*a*b^4*cosh(x) + a^2*b^3)*sinh(x)^5 - a*b^4 + (15*a*b^4*cosh(x)^2 + 10*a^2*b^3*cosh(x) + a*b^4)*sinh(x)^4 + 4*(5*a*b^4*cosh(x)^3 + 5*a^2*b^3*cosh(x)^2 + a*b^4*cosh(x) + a^2*b^3)*sinh(x)^3 + (15*a*b^4*cosh(x)^4 + 20*a^2*b^3*cosh(x)^3 + 6*a*b^4*cosh(x)^2 + 12*a^2*b^3*cosh(x) - a*b^4)*sinh(x)^2 + 2*(3*a*b^4*cosh(x)^5 + 5*a^2*b^3*cosh(x)^4 + 2*a*b^4*cosh(x)^3 + 6*a^2*b^3*cosh(x)^2 - a*b^4*cosh(x) + a^2*b^3)*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (a^4*b - 2*a^2*b^3 - 3*b^5 + 5*(a^4*b - 2*a^2*b^3 - 3*b^5)*cosh(x)^4 + 8*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^3 + 6*(3*a^4*b + 2*a^2*b^3 - b^5)*cosh(x)^2 - 4*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x))*sinh(x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^6 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*sinh(x)^6 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^5 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 3*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^5 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 + 15*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + 10*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^4 - 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 5*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - 15*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - 20*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 6*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 - 12*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x) - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 3*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^5 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x))","B",0
207,1,3044,0,0.999666," ","integrate(sech(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{30 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{7} + 30 \, {\left(a^{3} b^{4} + a b^{6}\right)} \sinh\left(x\right)^{7} + 4 \, a^{6} b + 22 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - 16 \, b^{7} + 30 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{4} b^{3} + a^{2} b^{5} + 7 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 10 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6} - 63 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} - 18 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(2 \, a^{6} b + 13 \, a^{4} b^{3} + 11 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(2 \, a^{6} b + 13 \, a^{4} b^{3} + 11 \, a^{2} b^{5} + 105 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 2 \, {\left(12 \, a^{7} + 56 \, a^{5} b^{2} + 31 \, a^{3} b^{4} - 13 \, a b^{6}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(12 \, a^{7} + 56 \, a^{5} b^{2} + 31 \, a^{3} b^{4} - 13 \, a b^{6} - 525 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} - 300 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{3} + 50 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 20 \, {\left(2 \, a^{6} b + 13 \, a^{4} b^{3} + 11 \, a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, a^{6} b + 37 \, a^{4} b^{3} + 17 \, a^{2} b^{5} - 16 \, b^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{6} b + 37 \, a^{4} b^{3} + 17 \, a^{2} b^{5} - 16 \, b^{7} + 315 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} + 225 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{4} - 50 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 30 \, {\left(2 \, a^{6} b + 13 \, a^{4} b^{3} + 11 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(12 \, a^{7} + 56 \, a^{5} b^{2} + 31 \, a^{3} b^{4} - 13 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 15 \, {\left(a b^{5} \cosh\left(x\right)^{8} + a b^{5} \sinh\left(x\right)^{8} + 2 \, a^{2} b^{4} \cosh\left(x\right)^{7} + 2 \, a b^{5} \cosh\left(x\right)^{6} + 6 \, a^{2} b^{4} \cosh\left(x\right)^{5} + 6 \, a^{2} b^{4} \cosh\left(x\right)^{3} - 2 \, a b^{5} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a b^{5} \cosh\left(x\right) + a^{2} b^{4}\right)} \sinh\left(x\right)^{7} + 2 \, a^{2} b^{4} \cosh\left(x\right) + 2 \, {\left(14 \, a b^{5} \cosh\left(x\right)^{2} + 7 \, a^{2} b^{4} \cosh\left(x\right) + a b^{5}\right)} \sinh\left(x\right)^{6} - a b^{5} + 2 \, {\left(28 \, a b^{5} \cosh\left(x\right)^{3} + 21 \, a^{2} b^{4} \cosh\left(x\right)^{2} + 6 \, a b^{5} \cosh\left(x\right) + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(7 \, a b^{5} \cosh\left(x\right)^{4} + 7 \, a^{2} b^{4} \cosh\left(x\right)^{3} + 3 \, a b^{5} \cosh\left(x\right)^{2} + 3 \, a^{2} b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(28 \, a b^{5} \cosh\left(x\right)^{5} + 35 \, a^{2} b^{4} \cosh\left(x\right)^{4} + 20 \, a b^{5} \cosh\left(x\right)^{3} + 30 \, a^{2} b^{4} \cosh\left(x\right)^{2} + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(14 \, a b^{5} \cosh\left(x\right)^{6} + 21 \, a^{2} b^{4} \cosh\left(x\right)^{5} + 15 \, a b^{5} \cosh\left(x\right)^{4} + 30 \, a^{2} b^{4} \cosh\left(x\right)^{3} + 9 \, a^{2} b^{4} \cosh\left(x\right) - a b^{5}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(4 \, a b^{5} \cosh\left(x\right)^{7} + 7 \, a^{2} b^{4} \cosh\left(x\right)^{6} + 6 \, a b^{5} \cosh\left(x\right)^{5} + 15 \, a^{2} b^{4} \cosh\left(x\right)^{4} + 9 \, a^{2} b^{4} \cosh\left(x\right)^{2} - 2 \, a b^{5} \cosh\left(x\right) + a^{2} b^{4}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(4 \, a^{7} + 22 \, a^{5} b^{2} + 17 \, a^{3} b^{4} - a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(4 \, a^{7} + 22 \, a^{5} b^{2} + 17 \, a^{3} b^{4} - a b^{6} - 105 \, {\left(a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{6} - 90 \, {\left(a^{4} b^{3} + a^{2} b^{5}\right)} \cosh\left(x\right)^{5} + 25 \, {\left(2 \, a^{5} b^{2} - 5 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, a^{6} b + 13 \, a^{4} b^{3} + 11 \, a^{2} b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(12 \, a^{7} + 56 \, a^{5} b^{2} + 31 \, a^{3} b^{4} - 13 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(4 \, a^{6} b + 37 \, a^{4} b^{3} + 17 \, a^{2} b^{5} - 16 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} - {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{8} - {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \sinh\left(x\right)^{8} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{7} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8} + 4 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} + 14 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{9} + 12 \, a^{7} b^{2} + 18 \, a^{5} b^{4} + 12 \, a^{3} b^{6} + 3 \, a b^{8} + 28 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} + 21 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(7 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 6 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(3 \, a^{9} + 12 \, a^{7} b^{2} + 18 \, a^{5} b^{4} + 12 \, a^{3} b^{6} + 3 \, a b^{8} + 28 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} + 30 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} - 14 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right) - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8} + 4 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(30*(a^3*b^4 + a*b^6)*cosh(x)^7 + 30*(a^3*b^4 + a*b^6)*sinh(x)^7 + 4*a^6*b + 22*a^4*b^3 + 2*a^2*b^5 - 16*b^7 + 30*(a^4*b^3 + a^2*b^5)*cosh(x)^6 + 30*(a^4*b^3 + a^2*b^5 + 7*(a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^6 - 10*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6)*cosh(x)^5 - 10*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6 - 63*(a^3*b^4 + a*b^6)*cosh(x)^2 - 18*(a^4*b^3 + a^2*b^5)*cosh(x))*sinh(x)^5 + 10*(2*a^6*b + 13*a^4*b^3 + 11*a^2*b^5)*cosh(x)^4 + 10*(2*a^6*b + 13*a^4*b^3 + 11*a^2*b^5 + 105*(a^3*b^4 + a*b^6)*cosh(x)^3 + 45*(a^4*b^3 + a^2*b^5)*cosh(x)^2 - 5*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6)*cosh(x))*sinh(x)^4 - 2*(12*a^7 + 56*a^5*b^2 + 31*a^3*b^4 - 13*a*b^6)*cosh(x)^3 - 2*(12*a^7 + 56*a^5*b^2 + 31*a^3*b^4 - 13*a*b^6 - 525*(a^3*b^4 + a*b^6)*cosh(x)^4 - 300*(a^4*b^3 + a^2*b^5)*cosh(x)^3 + 50*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6)*cosh(x)^2 - 20*(2*a^6*b + 13*a^4*b^3 + 11*a^2*b^5)*cosh(x))*sinh(x)^3 + 2*(4*a^6*b + 37*a^4*b^3 + 17*a^2*b^5 - 16*b^7)*cosh(x)^2 + 2*(4*a^6*b + 37*a^4*b^3 + 17*a^2*b^5 - 16*b^7 + 315*(a^3*b^4 + a*b^6)*cosh(x)^5 + 225*(a^4*b^3 + a^2*b^5)*cosh(x)^4 - 50*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6)*cosh(x)^3 + 30*(2*a^6*b + 13*a^4*b^3 + 11*a^2*b^5)*cosh(x)^2 - 3*(12*a^7 + 56*a^5*b^2 + 31*a^3*b^4 - 13*a*b^6)*cosh(x))*sinh(x)^2 + 15*(a*b^5*cosh(x)^8 + a*b^5*sinh(x)^8 + 2*a^2*b^4*cosh(x)^7 + 2*a*b^5*cosh(x)^6 + 6*a^2*b^4*cosh(x)^5 + 6*a^2*b^4*cosh(x)^3 - 2*a*b^5*cosh(x)^2 + 2*(4*a*b^5*cosh(x) + a^2*b^4)*sinh(x)^7 + 2*a^2*b^4*cosh(x) + 2*(14*a*b^5*cosh(x)^2 + 7*a^2*b^4*cosh(x) + a*b^5)*sinh(x)^6 - a*b^5 + 2*(28*a*b^5*cosh(x)^3 + 21*a^2*b^4*cosh(x)^2 + 6*a*b^5*cosh(x) + 3*a^2*b^4)*sinh(x)^5 + 10*(7*a*b^5*cosh(x)^4 + 7*a^2*b^4*cosh(x)^3 + 3*a*b^5*cosh(x)^2 + 3*a^2*b^4*cosh(x))*sinh(x)^4 + 2*(28*a*b^5*cosh(x)^5 + 35*a^2*b^4*cosh(x)^4 + 20*a*b^5*cosh(x)^3 + 30*a^2*b^4*cosh(x)^2 + 3*a^2*b^4)*sinh(x)^3 + 2*(14*a*b^5*cosh(x)^6 + 21*a^2*b^4*cosh(x)^5 + 15*a*b^5*cosh(x)^4 + 30*a^2*b^4*cosh(x)^3 + 9*a^2*b^4*cosh(x) - a*b^5)*sinh(x)^2 + 2*(4*a*b^5*cosh(x)^7 + 7*a^2*b^4*cosh(x)^6 + 6*a*b^5*cosh(x)^5 + 15*a^2*b^4*cosh(x)^4 + 9*a^2*b^4*cosh(x)^2 - 2*a*b^5*cosh(x) + a^2*b^4)*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(4*a^7 + 22*a^5*b^2 + 17*a^3*b^4 - a*b^6)*cosh(x) - 2*(4*a^7 + 22*a^5*b^2 + 17*a^3*b^4 - a*b^6 - 105*(a^3*b^4 + a*b^6)*cosh(x)^6 - 90*(a^4*b^3 + a^2*b^5)*cosh(x)^5 + 25*(2*a^5*b^2 - 5*a^3*b^4 - 7*a*b^6)*cosh(x)^4 - 20*(2*a^6*b + 13*a^4*b^3 + 11*a^2*b^5)*cosh(x)^3 + 3*(12*a^7 + 56*a^5*b^2 + 31*a^3*b^4 - 13*a*b^6)*cosh(x)^2 - 2*(4*a^6*b + 37*a^4*b^3 + 17*a^2*b^5 - 16*b^7)*cosh(x))*sinh(x))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 - (a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^8 - (a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*sinh(x)^8 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^7 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8 + 4*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x)^7 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^6 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 + 14*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^6 - 6*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^5 - 2*(3*a^9 + 12*a^7*b^2 + 18*a^5*b^4 + 12*a^3*b^6 + 3*a*b^8 + 28*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^3 + 21*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2 + 6*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x)^5 - 10*(7*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^4 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 + 3*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 3*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^4 - 6*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 - 2*(3*a^9 + 12*a^7*b^2 + 18*a^5*b^4 + 12*a^3*b^6 + 3*a*b^8 + 28*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^5 + 35*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^4 + 20*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^3 + 30*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2)*sinh(x)^3 + 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 - 14*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^6 - 21*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^5 - 15*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^4 - 30*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 - 9*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^2 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x) - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8 + 4*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^7 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^6 + 6*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^5 + 15*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^4 + 9*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x))","B",0
208,1,88,0,0.659534," ","integrate(tanh(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{30 \, e^{\left(7 \, x\right)} + 30 i \, e^{\left(6 \, x\right)} + 10 \, e^{\left(5 \, x\right)} + 50 i \, e^{\left(4 \, x\right)} + 26 \, e^{\left(3 \, x\right)} + 42 i \, e^{\left(2 \, x\right)} - 18 \, e^{x} + 6 i}{15 \, e^{\left(8 \, x\right)} + 30 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} + 90 i \, e^{\left(5 \, x\right)} + 90 i \, e^{\left(3 \, x\right)} - 30 \, e^{\left(2 \, x\right)} + 30 i \, e^{x} - 15}"," ",0,"-(30*e^(7*x) + 30*I*e^(6*x) + 10*e^(5*x) + 50*I*e^(4*x) + 26*e^(3*x) + 42*I*e^(2*x) - 18*e^x + 6*I)/(15*e^(8*x) + 30*I*e^(7*x) + 30*e^(6*x) + 90*I*e^(5*x) + 90*I*e^(3*x) - 30*e^(2*x) + 30*I*e^x - 15)","B",0
209,1,152,0,0.980898," ","integrate(tanh(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(3 i \, e^{\left(6 \, x\right)} - 6 \, e^{\left(5 \, x\right)} + 3 i \, e^{\left(4 \, x\right)} - 12 \, e^{\left(3 \, x\right)} - 3 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 3 i\right)} \log\left(e^{x} + i\right) + {\left(-3 i \, e^{\left(6 \, x\right)} + 6 \, e^{\left(5 \, x\right)} - 3 i \, e^{\left(4 \, x\right)} + 12 \, e^{\left(3 \, x\right)} + 3 i \, e^{\left(2 \, x\right)} + 6 \, e^{x} + 3 i\right)} \log\left(e^{x} - i\right) - 10 \, e^{\left(5 \, x\right)} - 4 i \, e^{\left(4 \, x\right)} + 4 \, e^{\left(3 \, x\right)} + 4 i \, e^{\left(2 \, x\right)} - 10 \, e^{x}}{8 \, e^{\left(6 \, x\right)} + 16 i \, e^{\left(5 \, x\right)} + 8 \, e^{\left(4 \, x\right)} + 32 i \, e^{\left(3 \, x\right)} - 8 \, e^{\left(2 \, x\right)} + 16 i \, e^{x} - 8}"," ",0,"((3*I*e^(6*x) - 6*e^(5*x) + 3*I*e^(4*x) - 12*e^(3*x) - 3*I*e^(2*x) - 6*e^x - 3*I)*log(e^x + I) + (-3*I*e^(6*x) + 6*e^(5*x) - 3*I*e^(4*x) + 12*e^(3*x) + 3*I*e^(2*x) + 6*e^x + 3*I)*log(e^x - I) - 10*e^(5*x) - 4*I*e^(4*x) + 4*e^(3*x) + 4*I*e^(2*x) - 10*e^x)/(8*e^(6*x) + 16*I*e^(5*x) + 8*e^(4*x) + 32*I*e^(3*x) - 8*e^(2*x) + 16*I*e^x - 8)","B",0
210,1,40,0,0.613948," ","integrate(tanh(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{6 \, e^{\left(3 \, x\right)} + 6 i \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 2 i}{3 \, e^{\left(4 \, x\right)} + 6 i \, e^{\left(3 \, x\right)} + 6 i \, e^{x} - 3}"," ",0,"-(6*e^(3*x) + 6*I*e^(2*x) - 2*e^x + 2*I)/(3*e^(4*x) + 6*I*e^(3*x) + 6*I*e^x - 3)","B",0
211,1,56,0,3.171516," ","integrate(tanh(x)/(I+sinh(x)),x, algorithm=""fricas"")","\frac{{\left(i \, e^{\left(2 \, x\right)} - 2 \, e^{x} - i\right)} \log\left(e^{x} + i\right) + {\left(-i \, e^{\left(2 \, x\right)} + 2 \, e^{x} + i\right)} \log\left(e^{x} - i\right) - 2 \, e^{x}}{2 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} - 2}"," ",0,"((I*e^(2*x) - 2*e^x - I)*log(e^x + I) + (-I*e^(2*x) + 2*e^x + I)*log(e^x - I) - 2*e^x)/(2*e^(2*x) + 4*I*e^x - 2)","B",0
212,1,17,0,0.912443," ","integrate(coth(x)/(I+sinh(x)),x, algorithm=""fricas"")","-i \, \log\left(e^{\left(2 \, x\right)} - 1\right) + 2 i \, \log\left(e^{x} + i\right)"," ",0,"-I*log(e^(2*x) - 1) + 2*I*log(e^x + I)","A",0
213,1,37,0,0.859716," ","integrate(coth(x)^2/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} + 1\right) - {\left(e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} - 1\right) - 2 i}{e^{\left(2 \, x\right)} - 1}"," ",0,"-((e^(2*x) - 1)*log(e^x + 1) - (e^(2*x) - 1)*log(e^x - 1) - 2*I)/(e^(2*x) - 1)","B",0
214,1,33,0,1.016240," ","integrate(coth(x)^3/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{2 \, e^{\left(3 \, x\right)} - 2 i \, e^{\left(2 \, x\right)} - 2 \, e^{x}}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}"," ",0,"-(2*e^(3*x) - 2*I*e^(2*x) - 2*e^x)/(e^(4*x) - 2*e^(2*x) + 1)","B",0
215,1,90,0,3.279139," ","integrate(coth(x)^4/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{3 \, {\left(e^{\left(6 \, x\right)} - 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} + 1\right) - 3 \, {\left(e^{\left(6 \, x\right)} - 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} - 1\right) + 6 \, e^{\left(5 \, x\right)} - 12 i \, e^{\left(4 \, x\right)} - 6 \, e^{x} - 4 i}{6 \, {\left(e^{\left(6 \, x\right)} - 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-1/6*(3*(e^(6*x) - 3*e^(4*x) + 3*e^(2*x) - 1)*log(e^x + 1) - 3*(e^(6*x) - 3*e^(4*x) + 3*e^(2*x) - 1)*log(e^x - 1) + 6*e^(5*x) - 12*I*e^(4*x) - 6*e^x - 4*I)/(e^(6*x) - 3*e^(4*x) + 3*e^(2*x) - 1)","B",0
216,1,63,0,0.985747," ","integrate(coth(x)^5/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{6 \, e^{\left(7 \, x\right)} - 6 i \, e^{\left(6 \, x\right)} - 10 \, e^{\left(5 \, x\right)} + 10 \, e^{\left(3 \, x\right)} - 6 i \, e^{\left(2 \, x\right)} - 6 \, e^{x}}{3 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-1/3*(6*e^(7*x) - 6*I*e^(6*x) - 10*e^(5*x) + 10*e^(3*x) - 6*I*e^(2*x) - 6*e^x)/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)","B",0
217,1,144,0,1.868860," ","integrate(coth(x)^6/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{15 \, {\left(e^{\left(10 \, x\right)} - 5 \, e^{\left(8 \, x\right)} + 10 \, e^{\left(6 \, x\right)} - 10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} + 1\right) - 15 \, {\left(e^{\left(10 \, x\right)} - 5 \, e^{\left(8 \, x\right)} + 10 \, e^{\left(6 \, x\right)} - 10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)} \log\left(e^{x} - 1\right) + 50 \, e^{\left(9 \, x\right)} - 80 i \, e^{\left(8 \, x\right)} - 20 \, e^{\left(7 \, x\right)} - 160 i \, e^{\left(4 \, x\right)} + 20 \, e^{\left(3 \, x\right)} - 50 \, e^{x} - 16 i}{40 \, {\left(e^{\left(10 \, x\right)} - 5 \, e^{\left(8 \, x\right)} + 10 \, e^{\left(6 \, x\right)} - 10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-1/40*(15*(e^(10*x) - 5*e^(8*x) + 10*e^(6*x) - 10*e^(4*x) + 5*e^(2*x) - 1)*log(e^x + 1) - 15*(e^(10*x) - 5*e^(8*x) + 10*e^(6*x) - 10*e^(4*x) + 5*e^(2*x) - 1)*log(e^x - 1) + 50*e^(9*x) - 80*I*e^(8*x) - 20*e^(7*x) - 160*I*e^(4*x) + 20*e^(3*x) - 50*e^x - 16*I)/(e^(10*x) - 5*e^(8*x) + 10*e^(6*x) - 10*e^(4*x) + 5*e^(2*x) - 1)","B",0
218,1,106,0,0.503855," ","integrate(tanh(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{210 \, e^{\left(8 \, x\right)} + 280 i \, e^{\left(7 \, x\right)} - 280 \, e^{\left(6 \, x\right)} + 168 i \, e^{\left(5 \, x\right)} + 28 \, e^{\left(4 \, x\right)} + 136 i \, e^{\left(3 \, x\right)} - 264 \, e^{\left(2 \, x\right)} - 72 i \, e^{x} + 18}{105 \, e^{\left(10 \, x\right)} + 420 i \, e^{\left(9 \, x\right)} - 315 \, e^{\left(8 \, x\right)} + 840 i \, e^{\left(7 \, x\right)} - 1470 \, e^{\left(6 \, x\right)} - 1470 \, e^{\left(4 \, x\right)} - 840 i \, e^{\left(3 \, x\right)} - 315 \, e^{\left(2 \, x\right)} - 420 i \, e^{x} + 105}"," ",0,"-(210*e^(8*x) + 280*I*e^(7*x) - 280*e^(6*x) + 168*I*e^(5*x) + 28*e^(4*x) + 136*I*e^(3*x) - 264*e^(2*x) - 72*I*e^x + 18)/(105*e^(10*x) + 420*I*e^(9*x) - 315*e^(8*x) + 840*I*e^(7*x) - 1470*e^(6*x) - 1470*e^(4*x) - 840*I*e^(3*x) - 315*e^(2*x) - 420*I*e^x + 105)","B",0
219,1,201,0,0.872177," ","integrate(tanh(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(3 \, e^{\left(8 \, x\right)} + 12 i \, e^{\left(7 \, x\right)} - 12 \, e^{\left(6 \, x\right)} + 12 i \, e^{\left(5 \, x\right)} - 30 \, e^{\left(4 \, x\right)} - 12 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 12 i \, e^{x} + 3\right)} \log\left(e^{x} + i\right) - {\left(3 \, e^{\left(8 \, x\right)} + 12 i \, e^{\left(7 \, x\right)} - 12 \, e^{\left(6 \, x\right)} + 12 i \, e^{\left(5 \, x\right)} - 30 \, e^{\left(4 \, x\right)} - 12 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 12 i \, e^{x} + 3\right)} \log\left(e^{x} - i\right) - 6 i \, e^{\left(7 \, x\right)} - 24 \, e^{\left(6 \, x\right)} - 38 i \, e^{\left(5 \, x\right)} + 80 \, e^{\left(4 \, x\right)} + 38 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} + 6 i \, e^{x}}{24 \, e^{\left(8 \, x\right)} + 96 i \, e^{\left(7 \, x\right)} - 96 \, e^{\left(6 \, x\right)} + 96 i \, e^{\left(5 \, x\right)} - 240 \, e^{\left(4 \, x\right)} - 96 i \, e^{\left(3 \, x\right)} - 96 \, e^{\left(2 \, x\right)} - 96 i \, e^{x} + 24}"," ",0,"((3*e^(8*x) + 12*I*e^(7*x) - 12*e^(6*x) + 12*I*e^(5*x) - 30*e^(4*x) - 12*I*e^(3*x) - 12*e^(2*x) - 12*I*e^x + 3)*log(e^x + I) - (3*e^(8*x) + 12*I*e^(7*x) - 12*e^(6*x) + 12*I*e^(5*x) - 30*e^(4*x) - 12*I*e^(3*x) - 12*e^(2*x) - 12*I*e^x + 3)*log(e^x - I) - 6*I*e^(7*x) - 24*e^(6*x) - 38*I*e^(5*x) + 80*e^(4*x) + 38*I*e^(3*x) - 24*e^(2*x) + 6*I*e^x)/(24*e^(8*x) + 96*I*e^(7*x) - 96*e^(6*x) + 96*I*e^(5*x) - 240*e^(4*x) - 96*I*e^(3*x) - 96*e^(2*x) - 96*I*e^x + 24)","B",0
220,1,58,0,1.580073," ","integrate(tanh(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{30 \, e^{\left(4 \, x\right)} + 40 i \, e^{\left(3 \, x\right)} - 40 \, e^{\left(2 \, x\right)} - 8 i \, e^{x} + 2}{15 \, e^{\left(6 \, x\right)} + 60 i \, e^{\left(5 \, x\right)} - 75 \, e^{\left(4 \, x\right)} - 75 \, e^{\left(2 \, x\right)} - 60 i \, e^{x} + 15}"," ",0,"-(30*e^(4*x) + 40*I*e^(3*x) - 40*e^(2*x) - 8*I*e^x + 2)/(15*e^(6*x) + 60*I*e^(5*x) - 75*e^(4*x) - 75*e^(2*x) - 60*I*e^x + 15)","B",0
221,1,95,0,1.741121," ","integrate(tanh(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(e^{\left(4 \, x\right)} + 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} + 1\right)} \log\left(e^{x} + i\right) - {\left(e^{\left(4 \, x\right)} + 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} + 1\right)} \log\left(e^{x} - i\right) - 2 i \, e^{\left(3 \, x\right)} + 2 i \, e^{x}}{4 \, e^{\left(4 \, x\right)} + 16 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} - 16 i \, e^{x} + 4}"," ",0,"((e^(4*x) + 4*I*e^(3*x) - 6*e^(2*x) - 4*I*e^x + 1)*log(e^x + I) - (e^(4*x) + 4*I*e^(3*x) - 6*e^(2*x) - 4*I*e^x + 1)*log(e^x - I) - 2*I*e^(3*x) + 2*I*e^x)/(4*e^(4*x) + 16*I*e^(3*x) - 24*e^(2*x) - 16*I*e^x + 4)","B",0
222,1,56,0,0.817878," ","integrate(coth(x)/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{{\left(e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) - {\left(2 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} - 2\right)} \log\left(e^{x} + i\right) + 2 i \, e^{x}}{e^{\left(2 \, x\right)} + 2 i \, e^{x} - 1}"," ",0,"-((e^(2*x) + 2*I*e^x - 1)*log(e^(2*x) - 1) - (2*e^(2*x) + 4*I*e^x - 2)*log(e^x + I) + 2*I*e^x)/(e^(2*x) + 2*I*e^x - 1)","B",0
223,1,79,0,1.595936," ","integrate(coth(x)^2/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(2 i \, e^{\left(3 \, x\right)} - 2 \, e^{\left(2 \, x\right)} - 2 i \, e^{x} + 2\right)} \log\left(e^{x} + 1\right) + {\left(-2 i \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 2 i \, e^{x} - 2\right)} \log\left(e^{x} - 1\right) - 4 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 6 i}{e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i}"," ",0,"((2*I*e^(3*x) - 2*e^(2*x) - 2*I*e^x + 2)*log(e^x + 1) + (-2*I*e^(3*x) + 2*e^(2*x) + 2*I*e^x - 2)*log(e^x - 1) - 4*I*e^(2*x) + 2*e^x + 6*I)/(e^(3*x) + I*e^(2*x) - e^x - I)","B",0
224,1,72,0,1.017284," ","integrate(coth(x)^3/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) - 4 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{x} + i\right) + 4 i \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - 4 i \, e^{x}}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}"," ",0,"(2*(e^(4*x) - 2*e^(2*x) + 1)*log(e^(2*x) - 1) - 4*(e^(4*x) - 2*e^(2*x) + 1)*log(e^x + I) + 4*I*e^(3*x) + 2*e^(2*x) - 4*I*e^x)/(e^(4*x) - 2*e^(2*x) + 1)","B",0
225,1,98,0,0.794803," ","integrate(coth(x)^4/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-3 i \, e^{\left(6 \, x\right)} + 9 i \, e^{\left(4 \, x\right)} - 9 i \, e^{\left(2 \, x\right)} + 3 i\right)} \log\left(e^{x} + 1\right) + {\left(3 i \, e^{\left(6 \, x\right)} - 9 i \, e^{\left(4 \, x\right)} + 9 i \, e^{\left(2 \, x\right)} - 3 i\right)} \log\left(e^{x} - 1\right) + 6 i \, e^{\left(5 \, x\right)} - 6 \, e^{\left(4 \, x\right)} + 24 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} - 10}{3 \, {\left(e^{\left(6 \, x\right)} - 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"1/3*((-3*I*e^(6*x) + 9*I*e^(4*x) - 9*I*e^(2*x) + 3*I)*log(e^x + 1) + (3*I*e^(6*x) - 9*I*e^(4*x) + 9*I*e^(2*x) - 3*I)*log(e^x - 1) + 6*I*e^(5*x) - 6*e^(4*x) + 24*e^(2*x) - 6*I*e^x - 10)/(e^(6*x) - 3*e^(4*x) + 3*e^(2*x) - 1)","B",0
226,1,59,0,1.296480," ","integrate(coth(x)^5/(I+sinh(x))^2,x, algorithm=""fricas"")","-\frac{6 \, e^{\left(6 \, x\right)} - 16 i \, e^{\left(5 \, x\right)} - 24 \, e^{\left(4 \, x\right)} + 16 i \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)}}{3 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-1/3*(6*e^(6*x) - 16*I*e^(5*x) - 24*e^(4*x) + 16*I*e^(3*x) + 6*e^(2*x))/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)","B",0
227,1,158,0,0.895098," ","integrate(coth(x)^6/(I+sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(-15 i \, e^{\left(10 \, x\right)} + 75 i \, e^{\left(8 \, x\right)} - 150 i \, e^{\left(6 \, x\right)} + 150 i \, e^{\left(4 \, x\right)} - 75 i \, e^{\left(2 \, x\right)} + 15 i\right)} \log\left(e^{x} + 1\right) + {\left(15 i \, e^{\left(10 \, x\right)} - 75 i \, e^{\left(8 \, x\right)} + 150 i \, e^{\left(6 \, x\right)} - 150 i \, e^{\left(4 \, x\right)} + 75 i \, e^{\left(2 \, x\right)} - 15 i\right)} \log\left(e^{x} - 1\right) + 30 i \, e^{\left(9 \, x\right)} - 120 \, e^{\left(8 \, x\right)} + 180 i \, e^{\left(7 \, x\right)} + 480 \, e^{\left(6 \, x\right)} - 80 \, e^{\left(4 \, x\right)} - 180 i \, e^{\left(3 \, x\right)} + 160 \, e^{\left(2 \, x\right)} - 30 i \, e^{x} - 56}{60 \, {\left(e^{\left(10 \, x\right)} - 5 \, e^{\left(8 \, x\right)} + 10 \, e^{\left(6 \, x\right)} - 10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"1/60*((-15*I*e^(10*x) + 75*I*e^(8*x) - 150*I*e^(6*x) + 150*I*e^(4*x) - 75*I*e^(2*x) + 15*I)*log(e^x + 1) + (15*I*e^(10*x) - 75*I*e^(8*x) + 150*I*e^(6*x) - 150*I*e^(4*x) + 75*I*e^(2*x) - 15*I)*log(e^x - 1) + 30*I*e^(9*x) - 120*e^(8*x) + 180*I*e^(7*x) + 480*e^(6*x) - 80*e^(4*x) - 180*I*e^(3*x) + 160*e^(2*x) - 30*I*e^x - 56)/(e^(10*x) - 5*e^(8*x) + 10*e^(6*x) - 10*e^(4*x) + 5*e^(2*x) - 1)","B",0
228,1,1199,0,1.446391," ","integrate(tanh(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{6 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{5} - 8 \, a^{5} - 10 \, a^{3} b^{2} - 2 \, a b^{4} - 6 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2} + a b^{4} - 5 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5} + 15 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 12 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} + a^{3} b^{2} - 5 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} + 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} + 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} + 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 6 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5} + 5 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(6*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^5 + 6*(2*a^4*b + 3*a^2*b^3 + b^5)*sinh(x)^5 - 8*a^5 - 10*a^3*b^2 - 2*a*b^4 - 6*(2*a^5 + 3*a^3*b^2 + a*b^4)*cosh(x)^4 - 6*(2*a^5 + 3*a^3*b^2 + a*b^4 - 5*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x))*sinh(x)^4 + 4*(4*a^4*b + 5*a^2*b^3 + b^5)*cosh(x)^3 + 4*(4*a^4*b + 5*a^2*b^3 + b^5 + 15*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^2 - 6*(2*a^5 + 3*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 - 12*(a^5 + a^3*b^2)*cosh(x)^2 - 12*(a^5 + a^3*b^2 - 5*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^3 + 3*(2*a^5 + 3*a^3*b^2 + a*b^4)*cosh(x)^2 - (4*a^4*b + 5*a^2*b^3 + b^5)*cosh(x))*sinh(x)^2 - 3*(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 + 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 + a^4)*sinh(x)^4 + a^4 + 4*(5*a^4*cosh(x)^3 + 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 + 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 + 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 6*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x) + 6*(2*a^4*b + 3*a^2*b^3 + b^5 + 5*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^4 - 4*(2*a^5 + 3*a^3*b^2 + a*b^4)*cosh(x)^3 + 2*(4*a^4*b + 5*a^2*b^3 + b^5)*cosh(x)^2 - 4*(a^5 + a^3*b^2)*cosh(x))*sinh(x))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^5 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
229,1,655,0,0.876784," ","integrate(tanh(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{3} + 2 \, a b^{2} - 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left({\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(3 \, a^{2} b + b^{3}\right)} \sinh\left(x\right)^{4} + 3 \, a^{2} b + b^{3} + 2 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} b + b^{3} + 3 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) + {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} + 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} + 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{2} b + b^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + b^{4} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-((a^2*b + b^3)*cosh(x)^3 + (a^2*b + b^3)*sinh(x)^3 - 2*(a^3 + a*b^2)*cosh(x)^2 - (2*a^3 + 2*a*b^2 - 3*(a^2*b + b^3)*cosh(x))*sinh(x)^2 - ((3*a^2*b + b^3)*cosh(x)^4 + 4*(3*a^2*b + b^3)*cosh(x)*sinh(x)^3 + (3*a^2*b + b^3)*sinh(x)^4 + 3*a^2*b + b^3 + 2*(3*a^2*b + b^3)*cosh(x)^2 + 2*(3*a^2*b + b^3 + 3*(3*a^2*b + b^3)*cosh(x)^2)*sinh(x)^2 + 4*((3*a^2*b + b^3)*cosh(x)^3 + (3*a^2*b + b^3)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (a^2*b + b^3)*cosh(x) + (a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 + 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 + a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 + a^3*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - (a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 + 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 + a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 + a^3*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) - (a^2*b + b^3 - 3*(a^2*b + b^3)*cosh(x)^2 + 4*(a^3 + a*b^2)*cosh(x))*sinh(x))/((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^4 + a^4 + 2*a^2*b^2 + b^4 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))","B",0
230,1,257,0,0.834613," ","integrate(tanh(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, a^{3} + 2 \, a b^{2} + {\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} + a^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"(2*a^3 + 2*a*b^2 + (a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 + a^2)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(a^2*b + b^3)*cosh(x) - 2*(a^2*b + b^3)*sinh(x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^2)","B",0
231,1,57,0,0.631941," ","integrate(tanh(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, b \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - a \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + a \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} + b^{2}}"," ",0,"(2*b*arctan(cosh(x) + sinh(x)) - a*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + a*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2 + b^2)","A",0
232,1,40,0,1.121169," ","integrate(coth(x)/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{\log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a}"," ",0,"-(log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - log(2*sinh(x)/(cosh(x) - sinh(x))))/a","A",0
233,1,228,0,0.618454," ","integrate(coth(x)^2/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} - b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} - b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, a}{a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}}"," ",0,"(sqrt(a^2 + b^2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + (b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 - b)*log(cosh(x) + sinh(x) + 1) - (b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 - b)*log(cosh(x) + sinh(x) - 1) - 2*a)/(a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)","B",0
234,1,427,0,0.749731," ","integrate(coth(x)^3/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, a b \cosh\left(x\right)^{3} + 2 \, a b \sinh\left(x\right)^{3} - 2 \, a^{2} \cosh\left(x\right)^{2} - 2 \, a b \cosh\left(x\right) + 2 \, {\left(3 \, a b \cosh\left(x\right) - a^{2}\right)} \sinh\left(x\right)^{2} - {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + b^{2} + 4 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + b^{2} + 4 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(3 \, a b \cosh\left(x\right)^{2} - 2 \, a^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)}{a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} - 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(2*a*b*cosh(x)^3 + 2*a*b*sinh(x)^3 - 2*a^2*cosh(x)^2 - 2*a*b*cosh(x) + 2*(3*a*b*cosh(x) - a^2)*sinh(x)^2 - ((a^2 + b^2)*cosh(x)^4 + 4*(a^2 + b^2)*cosh(x)*sinh(x)^3 + (a^2 + b^2)*sinh(x)^4 - 2*(a^2 + b^2)*cosh(x)^2 + 2*(3*(a^2 + b^2)*cosh(x)^2 - a^2 - b^2)*sinh(x)^2 + a^2 + b^2 + 4*((a^2 + b^2)*cosh(x)^3 - (a^2 + b^2)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + ((a^2 + b^2)*cosh(x)^4 + 4*(a^2 + b^2)*cosh(x)*sinh(x)^3 + (a^2 + b^2)*sinh(x)^4 - 2*(a^2 + b^2)*cosh(x)^2 + 2*(3*(a^2 + b^2)*cosh(x)^2 - a^2 - b^2)*sinh(x)^2 + a^2 + b^2 + 4*((a^2 + b^2)*cosh(x)^3 - (a^2 + b^2)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*(3*a*b*cosh(x)^2 - 2*a^2*cosh(x) - a*b)*sinh(x))/(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 - 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 - a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - a^3*cosh(x))*sinh(x))","B",0
235,1,1303,0,2.020379," ","integrate(coth(x)^4/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{6 \, a^{2} b \cosh\left(x\right)^{5} + 6 \, a^{2} b \sinh\left(x\right)^{5} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right) - 4 \, a^{3} - 2 \, a b^{2}\right)} \sinh\left(x\right)^{4} - 6 \, a^{2} b \cosh\left(x\right) + 12 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 16 \, a^{3} - 12 \, a b^{2} + 24 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{3} + 2 \, a^{3} + 2 \, a b^{2} - 6 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} - a^{2} - b^{2} + 6 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 3 \, {\left({\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3} - 5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, a^{2} b - 2 \, b^{3} + 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b + 2 \, b^{3} - 6 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 3 \, {\left({\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3} - 5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, a^{2} b - 2 \, b^{3} + 3 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b + 2 \, b^{3} - 6 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, {\left(5 \, a^{2} b \cosh\left(x\right)^{4} - 8 \, {\left(2 \, a^{3} + a b^{2}\right)} \cosh\left(x\right)^{3} - a^{2} b + 8 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} - 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} - a^{4}\right)} \sinh\left(x\right)^{4} - a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} - 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} - 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} - 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/6*(6*a^2*b*cosh(x)^5 + 6*a^2*b*sinh(x)^5 - 12*(2*a^3 + a*b^2)*cosh(x)^4 + 6*(5*a^2*b*cosh(x) - 4*a^3 - 2*a*b^2)*sinh(x)^4 - 6*a^2*b*cosh(x) + 12*(5*a^2*b*cosh(x)^2 - 4*(2*a^3 + a*b^2)*cosh(x))*sinh(x)^3 - 16*a^3 - 12*a*b^2 + 24*(a^3 + a*b^2)*cosh(x)^2 + 12*(5*a^2*b*cosh(x)^3 + 2*a^3 + 2*a*b^2 - 6*(2*a^3 + a*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^2 + b^2)*cosh(x)^6 + 6*(a^2 + b^2)*cosh(x)*sinh(x)^5 + (a^2 + b^2)*sinh(x)^6 - 3*(a^2 + b^2)*cosh(x)^4 + 3*(5*(a^2 + b^2)*cosh(x)^2 - a^2 - b^2)*sinh(x)^4 + 4*(5*(a^2 + b^2)*cosh(x)^3 - 3*(a^2 + b^2)*cosh(x))*sinh(x)^3 + 3*(a^2 + b^2)*cosh(x)^2 + 3*(5*(a^2 + b^2)*cosh(x)^4 - 6*(a^2 + b^2)*cosh(x)^2 + a^2 + b^2)*sinh(x)^2 - a^2 - b^2 + 6*((a^2 + b^2)*cosh(x)^5 - 2*(a^2 + b^2)*cosh(x)^3 + (a^2 + b^2)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 3*((3*a^2*b + 2*b^3)*cosh(x)^6 + 6*(3*a^2*b + 2*b^3)*cosh(x)*sinh(x)^5 + (3*a^2*b + 2*b^3)*sinh(x)^6 - 3*(3*a^2*b + 2*b^3)*cosh(x)^4 - 3*(3*a^2*b + 2*b^3 - 5*(3*a^2*b + 2*b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(3*a^2*b + 2*b^3)*cosh(x)^3 - 3*(3*a^2*b + 2*b^3)*cosh(x))*sinh(x)^3 - 3*a^2*b - 2*b^3 + 3*(3*a^2*b + 2*b^3)*cosh(x)^2 + 3*(5*(3*a^2*b + 2*b^3)*cosh(x)^4 + 3*a^2*b + 2*b^3 - 6*(3*a^2*b + 2*b^3)*cosh(x)^2)*sinh(x)^2 + 6*((3*a^2*b + 2*b^3)*cosh(x)^5 - 2*(3*a^2*b + 2*b^3)*cosh(x)^3 + (3*a^2*b + 2*b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - 3*((3*a^2*b + 2*b^3)*cosh(x)^6 + 6*(3*a^2*b + 2*b^3)*cosh(x)*sinh(x)^5 + (3*a^2*b + 2*b^3)*sinh(x)^6 - 3*(3*a^2*b + 2*b^3)*cosh(x)^4 - 3*(3*a^2*b + 2*b^3 - 5*(3*a^2*b + 2*b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(3*a^2*b + 2*b^3)*cosh(x)^3 - 3*(3*a^2*b + 2*b^3)*cosh(x))*sinh(x)^3 - 3*a^2*b - 2*b^3 + 3*(3*a^2*b + 2*b^3)*cosh(x)^2 + 3*(5*(3*a^2*b + 2*b^3)*cosh(x)^4 + 3*a^2*b + 2*b^3 - 6*(3*a^2*b + 2*b^3)*cosh(x)^2)*sinh(x)^2 + 6*((3*a^2*b + 2*b^3)*cosh(x)^5 - 2*(3*a^2*b + 2*b^3)*cosh(x)^3 + (3*a^2*b + 2*b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 6*(5*a^2*b*cosh(x)^4 - 8*(2*a^3 + a*b^2)*cosh(x)^3 - a^2*b + 8*(a^3 + a*b^2)*cosh(x))*sinh(x))/(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 - 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 - a^4)*sinh(x)^4 - a^4 + 4*(5*a^4*cosh(x)^3 - 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 - 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 - 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))","B",0
236,1,3534,0,0.945468," ","integrate(tanh(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{6 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \sinh\left(x\right)^{7} - 14 \, a^{6} b + 4 \, a^{4} b^{3} + 20 \, a^{2} b^{5} + 2 \, b^{7} - 6 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{6} - 6 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7} - 7 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 2 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6} + 63 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{2} - 18 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 2 \, {\left(41 \, a^{6} b + 34 \, a^{4} b^{3} - 10 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(41 \, a^{6} b + 34 \, a^{4} b^{3} - 10 \, a^{2} b^{5} - 3 \, b^{7} - 105 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(21 \, a^{7} - 11 \, a^{5} b^{2} - 40 \, a^{3} b^{4} - 8 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(21 \, a^{7} - 11 \, a^{5} b^{2} - 40 \, a^{3} b^{4} - 8 \, a b^{6} + 105 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{4} - 60 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(41 \, a^{6} b + 34 \, a^{4} b^{3} - 10 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(35 \, a^{6} b + 26 \, a^{4} b^{3} - 8 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(35 \, a^{6} b + 26 \, a^{4} b^{3} - 8 \, a^{2} b^{5} + b^{7} - 63 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{5} + 45 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(41 \, a^{6} b + 34 \, a^{4} b^{3} - 10 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(21 \, a^{7} - 11 \, a^{5} b^{2} - 40 \, a^{3} b^{4} - 8 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{8} + {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(a^{6} - 4 \, a^{4} b^{2} + 4 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 2 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{6} + 2 \, {\left(a^{5} b - 4 \, a^{3} b^{3} + 14 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} + 7 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - a^{5} b + 4 \, a^{3} b^{3} + 6 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a^{6} - 12 \, a^{4} b^{2} + 28 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{3} + 21 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(7 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + 7 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{6} - 12 \, a^{4} b^{2} + 28 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{3} + 30 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{6} - a^{5} b + 4 \, a^{3} b^{3} + 21 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{6} + a^{6} - 4 \, a^{4} b^{2} + 6 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{6} - 4 \, a^{4} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} b - 4 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + 2 \, {\left(11 \, a^{7} + 5 \, a^{5} b^{2} - 8 \, a^{3} b^{4} - 2 \, a b^{6}\right)} \cosh\left(x\right) + 2 \, {\left(11 \, a^{7} + 5 \, a^{5} b^{2} - 8 \, a^{3} b^{4} - 2 \, a b^{6} + 21 \, {\left(a^{7} - 3 \, a^{5} b^{2} - 4 \, a^{3} b^{4}\right)} \cosh\left(x\right)^{6} - 18 \, {\left(7 \, a^{6} b + 10 \, a^{4} b^{3} + 4 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(21 \, a^{7} - a^{5} b^{2} - 20 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(41 \, a^{6} b + 34 \, a^{4} b^{3} - 10 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(21 \, a^{7} - 11 \, a^{5} b^{2} - 40 \, a^{3} b^{4} - 8 \, a b^{6}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(35 \, a^{6} b + 26 \, a^{4} b^{3} - 8 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} - {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{8} - {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \sinh\left(x\right)^{8} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{7} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8} + 4 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} + 14 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{9} + 12 \, a^{7} b^{2} + 18 \, a^{5} b^{4} + 12 \, a^{3} b^{6} + 3 \, a b^{8} + 28 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} + 21 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(7 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 6 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(3 \, a^{9} + 12 \, a^{7} b^{2} + 18 \, a^{5} b^{4} + 12 \, a^{3} b^{6} + 3 \, a b^{8} + 28 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{3} + 30 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9} - 14 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{6} - 21 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right) - 2 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8} + 4 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{9} + 4 \, a^{7} b^{2} + 6 \, a^{5} b^{4} + 4 \, a^{3} b^{6} + a b^{8}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(6*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^7 + 6*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*sinh(x)^7 - 14*a^6*b + 4*a^4*b^3 + 20*a^2*b^5 + 2*b^7 - 6*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x)^6 - 6*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7 - 7*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x))*sinh(x)^6 + 2*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6)*cosh(x)^5 + 2*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6 + 63*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^2 - 18*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x))*sinh(x)^5 - 2*(41*a^6*b + 34*a^4*b^3 - 10*a^2*b^5 - 3*b^7)*cosh(x)^4 - 2*(41*a^6*b + 34*a^4*b^3 - 10*a^2*b^5 - 3*b^7 - 105*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^3 + 45*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x)^2 - 5*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6)*cosh(x))*sinh(x)^4 + 2*(21*a^7 - 11*a^5*b^2 - 40*a^3*b^4 - 8*a*b^6)*cosh(x)^3 + 2*(21*a^7 - 11*a^5*b^2 - 40*a^3*b^4 - 8*a*b^6 + 105*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^4 - 60*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x)^3 + 10*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6)*cosh(x)^2 - 4*(41*a^6*b + 34*a^4*b^3 - 10*a^2*b^5 - 3*b^7)*cosh(x))*sinh(x)^3 - 2*(35*a^6*b + 26*a^4*b^3 - 8*a^2*b^5 + b^7)*cosh(x)^2 - 2*(35*a^6*b + 26*a^4*b^3 - 8*a^2*b^5 + b^7 - 63*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^5 + 45*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x)^4 - 10*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6)*cosh(x)^3 + 6*(41*a^6*b + 34*a^4*b^3 - 10*a^2*b^5 - 3*b^7)*cosh(x)^2 - 3*(21*a^7 - 11*a^5*b^2 - 40*a^3*b^4 - 8*a*b^6)*cosh(x))*sinh(x)^2 - 3*((a^5*b - 4*a^3*b^3)*cosh(x)^8 + (a^5*b - 4*a^3*b^3)*sinh(x)^8 + 2*(a^6 - 4*a^4*b^2)*cosh(x)^7 + 2*(a^6 - 4*a^4*b^2 + 4*(a^5*b - 4*a^3*b^3)*cosh(x))*sinh(x)^7 + 2*(a^5*b - 4*a^3*b^3)*cosh(x)^6 + 2*(a^5*b - 4*a^3*b^3 + 14*(a^5*b - 4*a^3*b^3)*cosh(x)^2 + 7*(a^6 - 4*a^4*b^2)*cosh(x))*sinh(x)^6 - a^5*b + 4*a^3*b^3 + 6*(a^6 - 4*a^4*b^2)*cosh(x)^5 + 2*(3*a^6 - 12*a^4*b^2 + 28*(a^5*b - 4*a^3*b^3)*cosh(x)^3 + 21*(a^6 - 4*a^4*b^2)*cosh(x)^2 + 6*(a^5*b - 4*a^3*b^3)*cosh(x))*sinh(x)^5 + 10*(7*(a^5*b - 4*a^3*b^3)*cosh(x)^4 + 7*(a^6 - 4*a^4*b^2)*cosh(x)^3 + 3*(a^5*b - 4*a^3*b^3)*cosh(x)^2 + 3*(a^6 - 4*a^4*b^2)*cosh(x))*sinh(x)^4 + 6*(a^6 - 4*a^4*b^2)*cosh(x)^3 + 2*(3*a^6 - 12*a^4*b^2 + 28*(a^5*b - 4*a^3*b^3)*cosh(x)^5 + 35*(a^6 - 4*a^4*b^2)*cosh(x)^4 + 20*(a^5*b - 4*a^3*b^3)*cosh(x)^3 + 30*(a^6 - 4*a^4*b^2)*cosh(x)^2)*sinh(x)^3 - 2*(a^5*b - 4*a^3*b^3)*cosh(x)^2 + 2*(14*(a^5*b - 4*a^3*b^3)*cosh(x)^6 - a^5*b + 4*a^3*b^3 + 21*(a^6 - 4*a^4*b^2)*cosh(x)^5 + 15*(a^5*b - 4*a^3*b^3)*cosh(x)^4 + 30*(a^6 - 4*a^4*b^2)*cosh(x)^3 + 9*(a^6 - 4*a^4*b^2)*cosh(x))*sinh(x)^2 + 2*(a^6 - 4*a^4*b^2)*cosh(x) + 2*(4*(a^5*b - 4*a^3*b^3)*cosh(x)^7 + 7*(a^6 - 4*a^4*b^2)*cosh(x)^6 + a^6 - 4*a^4*b^2 + 6*(a^5*b - 4*a^3*b^3)*cosh(x)^5 + 15*(a^6 - 4*a^4*b^2)*cosh(x)^4 + 9*(a^6 - 4*a^4*b^2)*cosh(x)^2 - 2*(a^5*b - 4*a^3*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + 2*(11*a^7 + 5*a^5*b^2 - 8*a^3*b^4 - 2*a*b^6)*cosh(x) + 2*(11*a^7 + 5*a^5*b^2 - 8*a^3*b^4 - 2*a*b^6 + 21*(a^7 - 3*a^5*b^2 - 4*a^3*b^4)*cosh(x)^6 - 18*(7*a^6*b + 10*a^4*b^3 + 4*a^2*b^5 + b^7)*cosh(x)^5 + 5*(21*a^7 - a^5*b^2 - 20*a^3*b^4 + 2*a*b^6)*cosh(x)^4 - 4*(41*a^6*b + 34*a^4*b^3 - 10*a^2*b^5 - 3*b^7)*cosh(x)^3 + 3*(21*a^7 - 11*a^5*b^2 - 40*a^3*b^4 - 8*a*b^6)*cosh(x)^2 - 2*(35*a^6*b + 26*a^4*b^3 - 8*a^2*b^5 + b^7)*cosh(x))*sinh(x))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 - (a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^8 - (a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*sinh(x)^8 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^7 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8 + 4*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x)^7 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^6 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 + 14*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^6 - 6*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^5 - 2*(3*a^9 + 12*a^7*b^2 + 18*a^5*b^4 + 12*a^3*b^6 + 3*a*b^8 + 28*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^3 + 21*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2 + 6*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x)^5 - 10*(7*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^4 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 + 3*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 3*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^4 - 6*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 - 2*(3*a^9 + 12*a^7*b^2 + 18*a^5*b^4 + 12*a^3*b^6 + 3*a*b^8 + 28*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^5 + 35*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^4 + 20*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^3 + 30*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2)*sinh(x)^3 + 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^2 + 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9 - 14*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^6 - 21*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^5 - 15*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^4 - 30*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^3 - 9*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x))*sinh(x)^2 - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x) - 2*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8 + 4*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^7 + 7*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^6 + 6*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x)^5 + 15*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^4 + 9*(a^9 + 4*a^7*b^2 + 6*a^5*b^4 + 4*a^3*b^6 + a*b^8)*cosh(x)^2 - 2*(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*cosh(x))*sinh(x))","B",0
237,1,2850,0,1.660069," ","integrate(tanh(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - a b^{4}\right)} \sinh\left(x\right)^{5} - 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - 5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 8 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{5} + 2 \, a^{3} b^{2} + 5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} + 10 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left({\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{6} + {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(3 \, a^{4} b - a^{2} b^{3} + 3 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, a^{3} b^{2} + a b^{4} + {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{3} b^{2} - a b^{4} + 15 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{4} b - a^{2} b^{3} + 5 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{3} b^{2} - a b^{4} - 15 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, a^{4} b - a^{2} b^{3} + 5 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(3 \, a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - {\left(3 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right) - {\left({\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{6} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{4} b + 3 \, a^{2} b^{3} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b - 3 \, a^{2} b^{3} + 15 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 5 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b - 3 \, a^{2} b^{3} - 15 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + a^{5} - 3 \, a^{3} b^{2} + 5 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left({\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{6} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{4} b + 3 \, a^{2} b^{3} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} b - 3 \, a^{2} b^{3} + 15 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 5 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b - 3 \, a^{2} b^{3} - 15 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + a^{5} - 3 \, a^{3} b^{2} + 5 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{5} - 3 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(a^{5} - a b^{4} + 5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{6} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{6} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} + 15 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 5 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - 15 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*(a^5 - a*b^4)*cosh(x)^5 + 2*(a^5 - a*b^4)*sinh(x)^5 - 2*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^4 - 2*(a^4*b + 2*a^2*b^3 + b^5 - 5*(a^5 - a*b^4)*cosh(x))*sinh(x)^4 + 8*(a^5 + a^3*b^2)*cosh(x)^3 + 4*(2*a^5 + 2*a^3*b^2 + 5*(a^5 - a*b^4)*cosh(x)^2 - 2*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^3 + 2*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 + 2*(a^4*b + 2*a^2*b^3 + b^5 + 10*(a^5 - a*b^4)*cosh(x)^3 - 6*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 + 12*(a^5 + a^3*b^2)*cosh(x))*sinh(x)^2 + 2*((3*a^3*b^2 - a*b^4)*cosh(x)^6 + (3*a^3*b^2 - a*b^4)*sinh(x)^6 + 2*(3*a^4*b - a^2*b^3)*cosh(x)^5 + 2*(3*a^4*b - a^2*b^3 + 3*(3*a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^5 - 3*a^3*b^2 + a*b^4 + (3*a^3*b^2 - a*b^4)*cosh(x)^4 + (3*a^3*b^2 - a*b^4 + 15*(3*a^3*b^2 - a*b^4)*cosh(x)^2 + 10*(3*a^4*b - a^2*b^3)*cosh(x))*sinh(x)^4 + 4*(3*a^4*b - a^2*b^3)*cosh(x)^3 + 4*(3*a^4*b - a^2*b^3 + 5*(3*a^3*b^2 - a*b^4)*cosh(x)^3 + 5*(3*a^4*b - a^2*b^3)*cosh(x)^2 + (3*a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 - (3*a^3*b^2 - a*b^4)*cosh(x)^2 - (3*a^3*b^2 - a*b^4 - 15*(3*a^3*b^2 - a*b^4)*cosh(x)^4 - 20*(3*a^4*b - a^2*b^3)*cosh(x)^3 - 6*(3*a^3*b^2 - a*b^4)*cosh(x)^2 - 12*(3*a^4*b - a^2*b^3)*cosh(x))*sinh(x)^2 + 2*(3*a^4*b - a^2*b^3)*cosh(x) + 2*(3*(3*a^3*b^2 - a*b^4)*cosh(x)^5 + 3*a^4*b - a^2*b^3 + 5*(3*a^4*b - a^2*b^3)*cosh(x)^4 + 2*(3*a^3*b^2 - a*b^4)*cosh(x)^3 + 6*(3*a^4*b - a^2*b^3)*cosh(x)^2 - (3*a^3*b^2 - a*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 2*(a^5 - a*b^4)*cosh(x) - ((a^4*b - 3*a^2*b^3)*cosh(x)^6 + (a^4*b - 3*a^2*b^3)*sinh(x)^6 + 2*(a^5 - 3*a^3*b^2)*cosh(x)^5 + 2*(a^5 - 3*a^3*b^2 + 3*(a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x)^5 - a^4*b + 3*a^2*b^3 + (a^4*b - 3*a^2*b^3)*cosh(x)^4 + (a^4*b - 3*a^2*b^3 + 15*(a^4*b - 3*a^2*b^3)*cosh(x)^2 + 10*(a^5 - 3*a^3*b^2)*cosh(x))*sinh(x)^4 + 4*(a^5 - 3*a^3*b^2)*cosh(x)^3 + 4*(a^5 - 3*a^3*b^2 + 5*(a^4*b - 3*a^2*b^3)*cosh(x)^3 + 5*(a^5 - 3*a^3*b^2)*cosh(x)^2 + (a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x)^3 - (a^4*b - 3*a^2*b^3)*cosh(x)^2 - (a^4*b - 3*a^2*b^3 - 15*(a^4*b - 3*a^2*b^3)*cosh(x)^4 - 20*(a^5 - 3*a^3*b^2)*cosh(x)^3 - 6*(a^4*b - 3*a^2*b^3)*cosh(x)^2 - 12*(a^5 - 3*a^3*b^2)*cosh(x))*sinh(x)^2 + 2*(a^5 - 3*a^3*b^2)*cosh(x) + 2*(3*(a^4*b - 3*a^2*b^3)*cosh(x)^5 + a^5 - 3*a^3*b^2 + 5*(a^5 - 3*a^3*b^2)*cosh(x)^4 + 2*(a^4*b - 3*a^2*b^3)*cosh(x)^3 + 6*(a^5 - 3*a^3*b^2)*cosh(x)^2 - (a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + ((a^4*b - 3*a^2*b^3)*cosh(x)^6 + (a^4*b - 3*a^2*b^3)*sinh(x)^6 + 2*(a^5 - 3*a^3*b^2)*cosh(x)^5 + 2*(a^5 - 3*a^3*b^2 + 3*(a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x)^5 - a^4*b + 3*a^2*b^3 + (a^4*b - 3*a^2*b^3)*cosh(x)^4 + (a^4*b - 3*a^2*b^3 + 15*(a^4*b - 3*a^2*b^3)*cosh(x)^2 + 10*(a^5 - 3*a^3*b^2)*cosh(x))*sinh(x)^4 + 4*(a^5 - 3*a^3*b^2)*cosh(x)^3 + 4*(a^5 - 3*a^3*b^2 + 5*(a^4*b - 3*a^2*b^3)*cosh(x)^3 + 5*(a^5 - 3*a^3*b^2)*cosh(x)^2 + (a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x)^3 - (a^4*b - 3*a^2*b^3)*cosh(x)^2 - (a^4*b - 3*a^2*b^3 - 15*(a^4*b - 3*a^2*b^3)*cosh(x)^4 - 20*(a^5 - 3*a^3*b^2)*cosh(x)^3 - 6*(a^4*b - 3*a^2*b^3)*cosh(x)^2 - 12*(a^5 - 3*a^3*b^2)*cosh(x))*sinh(x)^2 + 2*(a^5 - 3*a^3*b^2)*cosh(x) + 2*(3*(a^4*b - 3*a^2*b^3)*cosh(x)^5 + a^5 - 3*a^3*b^2 + 5*(a^5 - 3*a^3*b^2)*cosh(x)^4 + 2*(a^4*b - 3*a^2*b^3)*cosh(x)^3 + 6*(a^5 - 3*a^3*b^2)*cosh(x)^2 - (a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 2*(a^5 - a*b^4 + 5*(a^5 - a*b^4)*cosh(x)^4 - 4*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^3 + 12*(a^5 + a^3*b^2)*cosh(x)^2 + 2*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^6 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*sinh(x)^6 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^5 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 3*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^5 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 + 15*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + 10*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^4 - 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 5*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - 15*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - 20*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 6*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 - 12*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x) - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 3*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^5 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x))","B",0
238,1,900,0,0.911784," ","integrate(tanh(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{4 \, a^{4} b + 2 \, a^{2} b^{3} - 2 \, b^{5} - 2 \, {\left(a^{5} - a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{5} - a^{3} b^{2} - 2 \, a b^{4}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5} - 3 \, {\left(a^{5} - a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{3} b - 2 \, a b^{3}\right)} \cosh\left(x\right)^{4} + {\left(a^{3} b - 2 \, a b^{3}\right)} \sinh\left(x\right)^{4} - a^{3} b + 2 \, a b^{3} + 2 \, {\left(a^{4} - 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 2 \, {\left(a^{3} b - 2 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left({\left(a^{3} b - 2 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} - 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{4} - 2 \, a^{2} b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 2 \, {\left(a^{3} b - 2 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 6 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(3 \, a^{5} + 3 \, a^{3} b^{2} + 3 \, {\left(a^{5} - a^{3} b^{2} - 2 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{4} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 6 \, {\left({\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) - 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}"," ",0,"(4*a^4*b + 2*a^2*b^3 - 2*b^5 - 2*(a^5 - a^3*b^2 - 2*a*b^4)*cosh(x)^3 - 2*(a^5 - a^3*b^2 - 2*a*b^4)*sinh(x)^3 + 2*(4*a^4*b + 5*a^2*b^3 + b^5)*cosh(x)^2 + 2*(4*a^4*b + 5*a^2*b^3 + b^5 - 3*(a^5 - a^3*b^2 - 2*a*b^4)*cosh(x))*sinh(x)^2 + ((a^3*b - 2*a*b^3)*cosh(x)^4 + (a^3*b - 2*a*b^3)*sinh(x)^4 - a^3*b + 2*a*b^3 + 2*(a^4 - 2*a^2*b^2)*cosh(x)^3 + 2*(a^4 - 2*a^2*b^2 + 2*(a^3*b - 2*a*b^3)*cosh(x))*sinh(x)^3 + 6*((a^3*b - 2*a*b^3)*cosh(x)^2 + (a^4 - 2*a^2*b^2)*cosh(x))*sinh(x)^2 + 2*(a^4 - 2*a^2*b^2)*cosh(x) + 2*(a^4 - 2*a^2*b^2 + 2*(a^3*b - 2*a*b^3)*cosh(x)^3 + 3*(a^4 - 2*a^2*b^2)*cosh(x)^2)*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 6*(a^5 + a^3*b^2)*cosh(x) - 2*(3*a^5 + 3*a^3*b^2 + 3*(a^5 - a^3*b^2 - 2*a*b^4)*cosh(x)^2 - 2*(4*a^4*b + 5*a^2*b^3 + b^5)*cosh(x))*sinh(x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^4 - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*sinh(x)^4 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x))*sinh(x)^3 - 6*((a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^2 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^2 - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x) - 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*cosh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x))","B",0
239,1,423,0,1.534748," ","integrate(tanh(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(a b^{2} \cosh\left(x\right)^{2} + a b^{2} \sinh\left(x\right)^{2} + 2 \, a^{2} b \cosh\left(x\right) - a b^{2} + 2 \, {\left(a b^{2} \cosh\left(x\right) + a^{2} b\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right) + {\left(a^{2} b - b^{3} - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{2} b - b^{3} - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} - a b^{2} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) - 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(4*(a*b^2*cosh(x)^2 + a*b^2*sinh(x)^2 + 2*a^2*b*cosh(x) - a*b^2 + 2*(a*b^2*cosh(x) + a^2*b)*sinh(x))*arctan(cosh(x) + sinh(x)) + 2*(a^3 + a*b^2)*cosh(x) + (a^2*b - b^3 - (a^2*b - b^3)*cosh(x)^2 - (a^2*b - b^3)*sinh(x)^2 - 2*(a^3 - a*b^2)*cosh(x) - 2*(a^3 - a*b^2 + (a^2*b - b^3)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - (a^2*b - b^3 - (a^2*b - b^3)*cosh(x)^2 - (a^2*b - b^3)*sinh(x)^2 - 2*(a^3 - a*b^2)*cosh(x) - 2*(a^3 - a*b^2 + (a^2*b - b^3)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 2*(a^3 + a*b^2)*sinh(x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2 - (a^4*b + 2*a^2*b^3 + b^5)*sinh(x)^2 - 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x) - 2*(a^5 + 2*a^3*b^2 + a*b^4 + (a^4*b + 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))","B",0
240,1,158,0,1.158011," ","integrate(coth(x)/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, a \cosh\left(x\right) - {\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, a \sinh\left(x\right)}{a^{2} b \cosh\left(x\right)^{2} + a^{2} b \sinh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) - a^{2} b + 2 \, {\left(a^{2} b \cosh\left(x\right) + a^{3}\right)} \sinh\left(x\right)}"," ",0,"(2*a*cosh(x) - (b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + (b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*a*sinh(x))/(a^2*b*cosh(x)^2 + a^2*b*sinh(x)^2 + 2*a^3*cosh(x) - a^2*b + 2*(a^2*b*cosh(x) + a^3)*sinh(x))","B",0
241,1,1257,0,1.486674," ","integrate(coth(x)^2/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{4 \, a^{3} b + 4 \, a b^{3} + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} b + 2 \, a b^{3} - 3 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b + 2 \, b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} + 2 \, a b^{2} + 2 \, {\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a^{2} b + 2 \, b^{3} - 2 \, {\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b + 2 \, b^{3} - 3 \, {\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{3} + 2 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(2 \, {\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)^{3} - a^{3} - 2 \, a b^{2} + 3 \, {\left(a^{3} + 2 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b + 2 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 6 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right) + 2 \, {\left({\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{2} b^{2} + b^{4} + 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} b + a b^{3} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b^{2} + b^{4} - 3 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} b + a b^{3} - 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, {\left({\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{2} b^{2} + b^{4} + 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} b + a b^{3} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b^{2} + b^{4} - 3 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} b + a b^{3} - 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 2 \, {\left(3 \, a^{4} + 3 \, a^{2} b^{2} - 3 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} b + a^{3} b^{3} + {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + {\left(a^{5} b + a^{3} b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{6} + a^{4} b^{2} + 2 \, {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} b + a^{3} b^{3} - 3 \, {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{6} + a^{4} b^{2} - 2 \, {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} b + a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(4*a^3*b + 4*a*b^3 + 2*(a^4 + a^2*b^2)*cosh(x)^3 + 2*(a^4 + a^2*b^2)*sinh(x)^3 - 4*(a^3*b + a*b^3)*cosh(x)^2 - 2*(2*a^3*b + 2*a*b^3 - 3*(a^4 + a^2*b^2)*cosh(x))*sinh(x)^2 + ((a^2*b + 2*b^3)*cosh(x)^4 + (a^2*b + 2*b^3)*sinh(x)^4 + 2*(a^3 + 2*a*b^2)*cosh(x)^3 + 2*(a^3 + 2*a*b^2 + 2*(a^2*b + 2*b^3)*cosh(x))*sinh(x)^3 + a^2*b + 2*b^3 - 2*(a^2*b + 2*b^3)*cosh(x)^2 - 2*(a^2*b + 2*b^3 - 3*(a^2*b + 2*b^3)*cosh(x)^2 - 3*(a^3 + 2*a*b^2)*cosh(x))*sinh(x)^2 - 2*(a^3 + 2*a*b^2)*cosh(x) + 2*(2*(a^2*b + 2*b^3)*cosh(x)^3 - a^3 - 2*a*b^2 + 3*(a^3 + 2*a*b^2)*cosh(x)^2 - 2*(a^2*b + 2*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 6*(a^4 + a^2*b^2)*cosh(x) + 2*((a^2*b^2 + b^4)*cosh(x)^4 + (a^2*b^2 + b^4)*sinh(x)^4 + a^2*b^2 + b^4 + 2*(a^3*b + a*b^3)*cosh(x)^3 + 2*(a^3*b + a*b^3 + 2*(a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 - 2*(a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^2*b^2 + b^4 - 3*(a^2*b^2 + b^4)*cosh(x)^2 - 3*(a^3*b + a*b^3)*cosh(x))*sinh(x)^2 - 2*(a^3*b + a*b^3)*cosh(x) - 2*(a^3*b + a*b^3 - 2*(a^2*b^2 + b^4)*cosh(x)^3 - 3*(a^3*b + a*b^3)*cosh(x)^2 + 2*(a^2*b^2 + b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - 2*((a^2*b^2 + b^4)*cosh(x)^4 + (a^2*b^2 + b^4)*sinh(x)^4 + a^2*b^2 + b^4 + 2*(a^3*b + a*b^3)*cosh(x)^3 + 2*(a^3*b + a*b^3 + 2*(a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 - 2*(a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^2*b^2 + b^4 - 3*(a^2*b^2 + b^4)*cosh(x)^2 - 3*(a^3*b + a*b^3)*cosh(x))*sinh(x)^2 - 2*(a^3*b + a*b^3)*cosh(x) - 2*(a^3*b + a*b^3 - 2*(a^2*b^2 + b^4)*cosh(x)^3 - 3*(a^3*b + a*b^3)*cosh(x)^2 + 2*(a^2*b^2 + b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) - 2*(3*a^4 + 3*a^2*b^2 - 3*(a^4 + a^2*b^2)*cosh(x)^2 + 4*(a^3*b + a*b^3)*cosh(x))*sinh(x))/(a^5*b + a^3*b^3 + (a^5*b + a^3*b^3)*cosh(x)^4 + (a^5*b + a^3*b^3)*sinh(x)^4 + 2*(a^6 + a^4*b^2)*cosh(x)^3 + 2*(a^6 + a^4*b^2 + 2*(a^5*b + a^3*b^3)*cosh(x))*sinh(x)^3 - 2*(a^5*b + a^3*b^3)*cosh(x)^2 - 2*(a^5*b + a^3*b^3 - 3*(a^5*b + a^3*b^3)*cosh(x)^2 - 3*(a^6 + a^4*b^2)*cosh(x))*sinh(x)^2 - 2*(a^6 + a^4*b^2)*cosh(x) - 2*(a^6 + a^4*b^2 - 2*(a^5*b + a^3*b^3)*cosh(x)^3 - 3*(a^6 + a^4*b^2)*cosh(x)^2 + 2*(a^5*b + a^3*b^3)*cosh(x))*sinh(x))","B",0
242,1,1463,0,1.357908," ","integrate(coth(x)^3/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{6 \, a^{2} b \cosh\left(x\right)^{4} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{5} - 6 \, a^{2} b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} b + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(6 \, a^{2} b \cosh\left(x\right) - 2 \, a^{3} - 3 \, a b^{2} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(18 \, a^{2} b \cosh\left(x\right)^{2} + 10 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} - 3 \, a^{2} b - 6 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) - {\left({\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{6} + {\left(a^{2} b + 3 \, b^{3}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{3} + 3 \, a b^{2} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{4} - {\left(3 \, a^{2} b + 9 \, b^{3} - 15 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(5 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{3} - a^{3} - 3 \, a b^{2} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - a^{2} b - 3 \, b^{3} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, a^{2} b + 9 \, b^{3} - 18 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{3} + a^{3} + 3 \, a b^{2} - 6 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left({\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{6} + {\left(a^{2} b + 3 \, b^{3}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{3} + 3 \, a b^{2} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{4} - {\left(3 \, a^{2} b + 9 \, b^{3} - 15 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} - 10 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(5 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{3} - a^{3} - 3 \, a b^{2} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - a^{2} b - 3 \, b^{3} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, a^{2} b + 9 \, b^{3} - 18 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)^{3} + a^{3} + 3 \, a b^{2} - 6 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{2} b + 3 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(12 \, a^{2} b \cosh\left(x\right)^{3} + 5 \, {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, a^{2} b \cosh\left(x\right) + a^{3} + 3 \, a b^{2} - 6 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{a^{4} b \cosh\left(x\right)^{6} + a^{4} b \sinh\left(x\right)^{6} + 2 \, a^{5} \cosh\left(x\right)^{5} - 3 \, a^{4} b \cosh\left(x\right)^{4} - 4 \, a^{5} \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)^{2} + 2 \, a^{5} \cosh\left(x\right) + 2 \, {\left(3 \, a^{4} b \cosh\left(x\right) + a^{5}\right)} \sinh\left(x\right)^{5} - a^{4} b + {\left(15 \, a^{4} b \cosh\left(x\right)^{2} + 10 \, a^{5} \cosh\left(x\right) - 3 \, a^{4} b\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a^{4} b \cosh\left(x\right)^{3} + 5 \, a^{5} \cosh\left(x\right)^{2} - 3 \, a^{4} b \cosh\left(x\right) - a^{5}\right)} \sinh\left(x\right)^{3} + {\left(15 \, a^{4} b \cosh\left(x\right)^{4} + 20 \, a^{5} \cosh\left(x\right)^{3} - 18 \, a^{4} b \cosh\left(x\right)^{2} - 12 \, a^{5} \cosh\left(x\right) + 3 \, a^{4} b\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a^{4} b \cosh\left(x\right)^{5} + 5 \, a^{5} \cosh\left(x\right)^{4} - 6 \, a^{4} b \cosh\left(x\right)^{3} - 6 \, a^{5} \cosh\left(x\right)^{2} + 3 \, a^{4} b \cosh\left(x\right) + a^{5}\right)} \sinh\left(x\right)}"," ",0,"(6*a^2*b*cosh(x)^4 + 2*(a^3 + 3*a*b^2)*cosh(x)^5 + 2*(a^3 + 3*a*b^2)*sinh(x)^5 - 6*a^2*b*cosh(x)^2 + 2*(3*a^2*b + 5*(a^3 + 3*a*b^2)*cosh(x))*sinh(x)^4 - 4*(2*a^3 + 3*a*b^2)*cosh(x)^3 + 4*(6*a^2*b*cosh(x) - 2*a^3 - 3*a*b^2 + 5*(a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x)^3 + 2*(18*a^2*b*cosh(x)^2 + 10*(a^3 + 3*a*b^2)*cosh(x)^3 - 3*a^2*b - 6*(2*a^3 + 3*a*b^2)*cosh(x))*sinh(x)^2 + 2*(a^3 + 3*a*b^2)*cosh(x) - ((a^2*b + 3*b^3)*cosh(x)^6 + (a^2*b + 3*b^3)*sinh(x)^6 + 2*(a^3 + 3*a*b^2)*cosh(x)^5 + 2*(a^3 + 3*a*b^2 + 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x)^5 - 3*(a^2*b + 3*b^3)*cosh(x)^4 - (3*a^2*b + 9*b^3 - 15*(a^2*b + 3*b^3)*cosh(x)^2 - 10*(a^3 + 3*a*b^2)*cosh(x))*sinh(x)^4 - 4*(a^3 + 3*a*b^2)*cosh(x)^3 + 4*(5*(a^2*b + 3*b^3)*cosh(x)^3 - a^3 - 3*a*b^2 + 5*(a^3 + 3*a*b^2)*cosh(x)^2 - 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x)^3 - a^2*b - 3*b^3 + 3*(a^2*b + 3*b^3)*cosh(x)^2 + (15*(a^2*b + 3*b^3)*cosh(x)^4 + 20*(a^3 + 3*a*b^2)*cosh(x)^3 + 3*a^2*b + 9*b^3 - 18*(a^2*b + 3*b^3)*cosh(x)^2 - 12*(a^3 + 3*a*b^2)*cosh(x))*sinh(x)^2 + 2*(a^3 + 3*a*b^2)*cosh(x) + 2*(3*(a^2*b + 3*b^3)*cosh(x)^5 + 5*(a^3 + 3*a*b^2)*cosh(x)^4 - 6*(a^2*b + 3*b^3)*cosh(x)^3 + a^3 + 3*a*b^2 - 6*(a^3 + 3*a*b^2)*cosh(x)^2 + 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + ((a^2*b + 3*b^3)*cosh(x)^6 + (a^2*b + 3*b^3)*sinh(x)^6 + 2*(a^3 + 3*a*b^2)*cosh(x)^5 + 2*(a^3 + 3*a*b^2 + 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x)^5 - 3*(a^2*b + 3*b^3)*cosh(x)^4 - (3*a^2*b + 9*b^3 - 15*(a^2*b + 3*b^3)*cosh(x)^2 - 10*(a^3 + 3*a*b^2)*cosh(x))*sinh(x)^4 - 4*(a^3 + 3*a*b^2)*cosh(x)^3 + 4*(5*(a^2*b + 3*b^3)*cosh(x)^3 - a^3 - 3*a*b^2 + 5*(a^3 + 3*a*b^2)*cosh(x)^2 - 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x)^3 - a^2*b - 3*b^3 + 3*(a^2*b + 3*b^3)*cosh(x)^2 + (15*(a^2*b + 3*b^3)*cosh(x)^4 + 20*(a^3 + 3*a*b^2)*cosh(x)^3 + 3*a^2*b + 9*b^3 - 18*(a^2*b + 3*b^3)*cosh(x)^2 - 12*(a^3 + 3*a*b^2)*cosh(x))*sinh(x)^2 + 2*(a^3 + 3*a*b^2)*cosh(x) + 2*(3*(a^2*b + 3*b^3)*cosh(x)^5 + 5*(a^3 + 3*a*b^2)*cosh(x)^4 - 6*(a^2*b + 3*b^3)*cosh(x)^3 + a^3 + 3*a*b^2 - 6*(a^3 + 3*a*b^2)*cosh(x)^2 + 3*(a^2*b + 3*b^3)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*(12*a^2*b*cosh(x)^3 + 5*(a^3 + 3*a*b^2)*cosh(x)^4 - 6*a^2*b*cosh(x) + a^3 + 3*a*b^2 - 6*(2*a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x))/(a^4*b*cosh(x)^6 + a^4*b*sinh(x)^6 + 2*a^5*cosh(x)^5 - 3*a^4*b*cosh(x)^4 - 4*a^5*cosh(x)^3 + 3*a^4*b*cosh(x)^2 + 2*a^5*cosh(x) + 2*(3*a^4*b*cosh(x) + a^5)*sinh(x)^5 - a^4*b + (15*a^4*b*cosh(x)^2 + 10*a^5*cosh(x) - 3*a^4*b)*sinh(x)^4 + 4*(5*a^4*b*cosh(x)^3 + 5*a^5*cosh(x)^2 - 3*a^4*b*cosh(x) - a^5)*sinh(x)^3 + (15*a^4*b*cosh(x)^4 + 20*a^5*cosh(x)^3 - 18*a^4*b*cosh(x)^2 - 12*a^5*cosh(x) + 3*a^4*b)*sinh(x)^2 + 2*(3*a^4*b*cosh(x)^5 + 5*a^5*cosh(x)^4 - 6*a^4*b*cosh(x)^3 - 6*a^5*cosh(x)^2 + 3*a^4*b*cosh(x) + a^5)*sinh(x))","B",0
243,1,3648,0,1.969717," ","integrate(coth(x)^4/(a+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{6 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \sinh\left(x\right)^{7} - 6 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{6} - 6 \, {\left(a^{3} b + 4 \, a b^{3} - 7 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2} - 21 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(7 \, a^{3} b + 12 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(7 \, a^{3} b + 12 \, a b^{3} + 35 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 14 \, a^{3} b + 24 \, a b^{3} + 42 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(35 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + 7 \, a^{4} + 14 \, a^{2} b^{2} - 20 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 10 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{3} b + 12 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(25 \, a^{3} b + 36 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(63 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{5} - 45 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} - 25 \, a^{3} b - 36 \, a b^{3} - 30 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 18 \, {\left(7 \, a^{3} b + 12 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 63 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{8} + {\left(a^{2} b + 4 \, b^{3}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(a^{3} + 4 \, a b^{2} + 4 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(2 \, a^{2} b + 8 \, b^{3} - 14 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(28 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, a^{3} - 12 \, a b^{2} + 21 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 12 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{4} + 35 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, a^{2} b + 12 \, b^{3} - 30 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(28 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{4} - 40 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, a^{3} + 12 \, a b^{2} - 30 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a^{2} b + 4 \, b^{3} - 4 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{6} + 21 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{5} - 30 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{3} - 2 \, a^{2} b - 8 \, b^{3} + 18 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{2} + 9 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{6} - 12 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)^{3} - a^{3} - 4 \, a b^{2} + 9 \, {\left(a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{2} b + 4 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(11 \, a^{4} + 18 \, a^{2} b^{2}\right)} \cosh\left(x\right) + 3 \, {\left({\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{8} + {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3} + 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(6 \, a^{2} b^{2} + 8 \, b^{4} - 14 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(9 \, a^{3} b + 12 \, a b^{3} - 28 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{2} b^{2} + 12 \, b^{4} + 35 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 3 \, a^{2} b^{2} + 4 \, b^{4} + 6 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(28 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 9 \, a^{3} b + 12 \, a b^{3} - 40 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{6} + 21 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 30 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, a^{2} b^{2} - 8 \, b^{4} - 30 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 18 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} + 9 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{6} - 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, a^{3} b - 4 \, a b^{3} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 3 \, {\left({\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{8} + {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \sinh\left(x\right)^{8} + 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3} + 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(6 \, a^{2} b^{2} + 8 \, b^{4} - 14 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} - 7 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 6 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(9 \, a^{3} b + 12 \, a b^{3} - 28 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} - 21 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{2} b^{2} + 12 \, b^{4} + 35 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} - 15 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 3 \, a^{2} b^{2} + 4 \, b^{4} + 6 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(28 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 9 \, a^{3} b + 12 \, a b^{3} - 40 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} - 30 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{6} + 21 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 30 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, a^{2} b^{2} - 8 \, b^{4} - 30 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 18 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2} + 9 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{6} - 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, a^{3} b - 4 \, a b^{3} + 12 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(21 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{6} - 18 \, {\left(a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(7 \, a^{4} + 10 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} - 11 \, a^{4} - 18 \, a^{2} b^{2} + 12 \, {\left(7 \, a^{3} b + 12 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 63 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(25 \, a^{3} b + 36 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{5} b \cosh\left(x\right)^{8} + a^{5} b \sinh\left(x\right)^{8} + 2 \, a^{6} \cosh\left(x\right)^{7} - 4 \, a^{5} b \cosh\left(x\right)^{6} - 6 \, a^{6} \cosh\left(x\right)^{5} + 6 \, a^{5} b \cosh\left(x\right)^{4} + 6 \, a^{6} \cosh\left(x\right)^{3} - 4 \, a^{5} b \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{5} b \cosh\left(x\right) + a^{6}\right)} \sinh\left(x\right)^{7} - 2 \, a^{6} \cosh\left(x\right) + 2 \, {\left(14 \, a^{5} b \cosh\left(x\right)^{2} + 7 \, a^{6} \cosh\left(x\right) - 2 \, a^{5} b\right)} \sinh\left(x\right)^{6} + a^{5} b + 2 \, {\left(28 \, a^{5} b \cosh\left(x\right)^{3} + 21 \, a^{6} \cosh\left(x\right)^{2} - 12 \, a^{5} b \cosh\left(x\right) - 3 \, a^{6}\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, a^{5} b \cosh\left(x\right)^{4} + 35 \, a^{6} \cosh\left(x\right)^{3} - 30 \, a^{5} b \cosh\left(x\right)^{2} - 15 \, a^{6} \cosh\left(x\right) + 3 \, a^{5} b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(28 \, a^{5} b \cosh\left(x\right)^{5} + 35 \, a^{6} \cosh\left(x\right)^{4} - 40 \, a^{5} b \cosh\left(x\right)^{3} - 30 \, a^{6} \cosh\left(x\right)^{2} + 12 \, a^{5} b \cosh\left(x\right) + 3 \, a^{6}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(14 \, a^{5} b \cosh\left(x\right)^{6} + 21 \, a^{6} \cosh\left(x\right)^{5} - 30 \, a^{5} b \cosh\left(x\right)^{4} - 30 \, a^{6} \cosh\left(x\right)^{3} + 18 \, a^{5} b \cosh\left(x\right)^{2} + 9 \, a^{6} \cosh\left(x\right) - 2 \, a^{5} b\right)} \sinh\left(x\right)^{2} + 2 \, {\left(4 \, a^{5} b \cosh\left(x\right)^{7} + 7 \, a^{6} \cosh\left(x\right)^{6} - 12 \, a^{5} b \cosh\left(x\right)^{5} - 15 \, a^{6} \cosh\left(x\right)^{4} + 12 \, a^{5} b \cosh\left(x\right)^{3} + 9 \, a^{6} \cosh\left(x\right)^{2} - 4 \, a^{5} b \cosh\left(x\right) - a^{6}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*(6*(a^4 + 2*a^2*b^2)*cosh(x)^7 + 6*(a^4 + 2*a^2*b^2)*sinh(x)^7 - 6*(a^3*b + 4*a*b^3)*cosh(x)^6 - 6*(a^3*b + 4*a*b^3 - 7*(a^4 + 2*a^2*b^2)*cosh(x))*sinh(x)^6 - 6*(7*a^4 + 10*a^2*b^2)*cosh(x)^5 - 6*(7*a^4 + 10*a^2*b^2 - 21*(a^4 + 2*a^2*b^2)*cosh(x)^2 + 6*(a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^5 + 6*(7*a^3*b + 12*a*b^3)*cosh(x)^4 + 6*(7*a^3*b + 12*a*b^3 + 35*(a^4 + 2*a^2*b^2)*cosh(x)^3 - 15*(a^3*b + 4*a*b^3)*cosh(x)^2 - 5*(7*a^4 + 10*a^2*b^2)*cosh(x))*sinh(x)^4 + 14*a^3*b + 24*a*b^3 + 42*(a^4 + 2*a^2*b^2)*cosh(x)^3 + 6*(35*(a^4 + 2*a^2*b^2)*cosh(x)^4 + 7*a^4 + 14*a^2*b^2 - 20*(a^3*b + 4*a*b^3)*cosh(x)^3 - 10*(7*a^4 + 10*a^2*b^2)*cosh(x)^2 + 4*(7*a^3*b + 12*a*b^3)*cosh(x))*sinh(x)^3 - 2*(25*a^3*b + 36*a*b^3)*cosh(x)^2 + 2*(63*(a^4 + 2*a^2*b^2)*cosh(x)^5 - 45*(a^3*b + 4*a*b^3)*cosh(x)^4 - 25*a^3*b - 36*a*b^3 - 30*(7*a^4 + 10*a^2*b^2)*cosh(x)^3 + 18*(7*a^3*b + 12*a*b^3)*cosh(x)^2 + 63*(a^4 + 2*a^2*b^2)*cosh(x))*sinh(x)^2 + 3*((a^2*b + 4*b^3)*cosh(x)^8 + (a^2*b + 4*b^3)*sinh(x)^8 + 2*(a^3 + 4*a*b^2)*cosh(x)^7 + 2*(a^3 + 4*a*b^2 + 4*(a^2*b + 4*b^3)*cosh(x))*sinh(x)^7 - 4*(a^2*b + 4*b^3)*cosh(x)^6 - 2*(2*a^2*b + 8*b^3 - 14*(a^2*b + 4*b^3)*cosh(x)^2 - 7*(a^3 + 4*a*b^2)*cosh(x))*sinh(x)^6 - 6*(a^3 + 4*a*b^2)*cosh(x)^5 + 2*(28*(a^2*b + 4*b^3)*cosh(x)^3 - 3*a^3 - 12*a*b^2 + 21*(a^3 + 4*a*b^2)*cosh(x)^2 - 12*(a^2*b + 4*b^3)*cosh(x))*sinh(x)^5 + 6*(a^2*b + 4*b^3)*cosh(x)^4 + 2*(35*(a^2*b + 4*b^3)*cosh(x)^4 + 35*(a^3 + 4*a*b^2)*cosh(x)^3 + 3*a^2*b + 12*b^3 - 30*(a^2*b + 4*b^3)*cosh(x)^2 - 15*(a^3 + 4*a*b^2)*cosh(x))*sinh(x)^4 + 6*(a^3 + 4*a*b^2)*cosh(x)^3 + 2*(28*(a^2*b + 4*b^3)*cosh(x)^5 + 35*(a^3 + 4*a*b^2)*cosh(x)^4 - 40*(a^2*b + 4*b^3)*cosh(x)^3 + 3*a^3 + 12*a*b^2 - 30*(a^3 + 4*a*b^2)*cosh(x)^2 + 12*(a^2*b + 4*b^3)*cosh(x))*sinh(x)^3 + a^2*b + 4*b^3 - 4*(a^2*b + 4*b^3)*cosh(x)^2 + 2*(14*(a^2*b + 4*b^3)*cosh(x)^6 + 21*(a^3 + 4*a*b^2)*cosh(x)^5 - 30*(a^2*b + 4*b^3)*cosh(x)^4 - 30*(a^3 + 4*a*b^2)*cosh(x)^3 - 2*a^2*b - 8*b^3 + 18*(a^2*b + 4*b^3)*cosh(x)^2 + 9*(a^3 + 4*a*b^2)*cosh(x))*sinh(x)^2 - 2*(a^3 + 4*a*b^2)*cosh(x) + 2*(4*(a^2*b + 4*b^3)*cosh(x)^7 + 7*(a^3 + 4*a*b^2)*cosh(x)^6 - 12*(a^2*b + 4*b^3)*cosh(x)^5 - 15*(a^3 + 4*a*b^2)*cosh(x)^4 + 12*(a^2*b + 4*b^3)*cosh(x)^3 - a^3 - 4*a*b^2 + 9*(a^3 + 4*a*b^2)*cosh(x)^2 - 4*(a^2*b + 4*b^3)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - 2*(11*a^4 + 18*a^2*b^2)*cosh(x) + 3*((3*a^2*b^2 + 4*b^4)*cosh(x)^8 + (3*a^2*b^2 + 4*b^4)*sinh(x)^8 + 2*(3*a^3*b + 4*a*b^3)*cosh(x)^7 + 2*(3*a^3*b + 4*a*b^3 + 4*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^7 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x)^6 - 2*(6*a^2*b^2 + 8*b^4 - 14*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 - 7*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^6 - 6*(3*a^3*b + 4*a*b^3)*cosh(x)^5 - 2*(9*a^3*b + 12*a*b^3 - 28*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 - 21*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 + 2*(35*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 + 9*a^2*b^2 + 12*b^4 + 35*(3*a^3*b + 4*a*b^3)*cosh(x)^3 - 30*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 - 15*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^4 + 3*a^2*b^2 + 4*b^4 + 6*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 2*(28*(3*a^2*b^2 + 4*b^4)*cosh(x)^5 + 35*(3*a^3*b + 4*a*b^3)*cosh(x)^4 + 9*a^3*b + 12*a*b^3 - 40*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 - 30*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 + 2*(14*(3*a^2*b^2 + 4*b^4)*cosh(x)^6 + 21*(3*a^3*b + 4*a*b^3)*cosh(x)^5 - 30*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 - 6*a^2*b^2 - 8*b^4 - 30*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 18*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 + 9*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^2 - 2*(3*a^3*b + 4*a*b^3)*cosh(x) + 2*(4*(3*a^2*b^2 + 4*b^4)*cosh(x)^7 + 7*(3*a^3*b + 4*a*b^3)*cosh(x)^6 - 12*(3*a^2*b^2 + 4*b^4)*cosh(x)^5 - 15*(3*a^3*b + 4*a*b^3)*cosh(x)^4 - 3*a^3*b - 4*a*b^3 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 + 9*(3*a^3*b + 4*a*b^3)*cosh(x)^2 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - 3*((3*a^2*b^2 + 4*b^4)*cosh(x)^8 + (3*a^2*b^2 + 4*b^4)*sinh(x)^8 + 2*(3*a^3*b + 4*a*b^3)*cosh(x)^7 + 2*(3*a^3*b + 4*a*b^3 + 4*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^7 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x)^6 - 2*(6*a^2*b^2 + 8*b^4 - 14*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 - 7*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^6 - 6*(3*a^3*b + 4*a*b^3)*cosh(x)^5 - 2*(9*a^3*b + 12*a*b^3 - 28*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 - 21*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 + 2*(35*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 + 9*a^2*b^2 + 12*b^4 + 35*(3*a^3*b + 4*a*b^3)*cosh(x)^3 - 30*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 - 15*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^4 + 3*a^2*b^2 + 4*b^4 + 6*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 2*(28*(3*a^2*b^2 + 4*b^4)*cosh(x)^5 + 35*(3*a^3*b + 4*a*b^3)*cosh(x)^4 + 9*a^3*b + 12*a*b^3 - 40*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 - 30*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 + 2*(14*(3*a^2*b^2 + 4*b^4)*cosh(x)^6 + 21*(3*a^3*b + 4*a*b^3)*cosh(x)^5 - 30*(3*a^2*b^2 + 4*b^4)*cosh(x)^4 - 6*a^2*b^2 - 8*b^4 - 30*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 18*(3*a^2*b^2 + 4*b^4)*cosh(x)^2 + 9*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^2 - 2*(3*a^3*b + 4*a*b^3)*cosh(x) + 2*(4*(3*a^2*b^2 + 4*b^4)*cosh(x)^7 + 7*(3*a^3*b + 4*a*b^3)*cosh(x)^6 - 12*(3*a^2*b^2 + 4*b^4)*cosh(x)^5 - 15*(3*a^3*b + 4*a*b^3)*cosh(x)^4 - 3*a^3*b - 4*a*b^3 + 12*(3*a^2*b^2 + 4*b^4)*cosh(x)^3 + 9*(3*a^3*b + 4*a*b^3)*cosh(x)^2 - 4*(3*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(21*(a^4 + 2*a^2*b^2)*cosh(x)^6 - 18*(a^3*b + 4*a*b^3)*cosh(x)^5 - 15*(7*a^4 + 10*a^2*b^2)*cosh(x)^4 - 11*a^4 - 18*a^2*b^2 + 12*(7*a^3*b + 12*a*b^3)*cosh(x)^3 + 63*(a^4 + 2*a^2*b^2)*cosh(x)^2 - 2*(25*a^3*b + 36*a*b^3)*cosh(x))*sinh(x))/(a^5*b*cosh(x)^8 + a^5*b*sinh(x)^8 + 2*a^6*cosh(x)^7 - 4*a^5*b*cosh(x)^6 - 6*a^6*cosh(x)^5 + 6*a^5*b*cosh(x)^4 + 6*a^6*cosh(x)^3 - 4*a^5*b*cosh(x)^2 + 2*(4*a^5*b*cosh(x) + a^6)*sinh(x)^7 - 2*a^6*cosh(x) + 2*(14*a^5*b*cosh(x)^2 + 7*a^6*cosh(x) - 2*a^5*b)*sinh(x)^6 + a^5*b + 2*(28*a^5*b*cosh(x)^3 + 21*a^6*cosh(x)^2 - 12*a^5*b*cosh(x) - 3*a^6)*sinh(x)^5 + 2*(35*a^5*b*cosh(x)^4 + 35*a^6*cosh(x)^3 - 30*a^5*b*cosh(x)^2 - 15*a^6*cosh(x) + 3*a^5*b)*sinh(x)^4 + 2*(28*a^5*b*cosh(x)^5 + 35*a^6*cosh(x)^4 - 40*a^5*b*cosh(x)^3 - 30*a^6*cosh(x)^2 + 12*a^5*b*cosh(x) + 3*a^6)*sinh(x)^3 + 2*(14*a^5*b*cosh(x)^6 + 21*a^6*cosh(x)^5 - 30*a^5*b*cosh(x)^4 - 30*a^6*cosh(x)^3 + 18*a^5*b*cosh(x)^2 + 9*a^6*cosh(x) - 2*a^5*b)*sinh(x)^2 + 2*(4*a^5*b*cosh(x)^7 + 7*a^6*cosh(x)^6 - 12*a^5*b*cosh(x)^5 - 15*a^6*cosh(x)^4 + 12*a^5*b*cosh(x)^3 + 9*a^6*cosh(x)^2 - 4*a^5*b*cosh(x) - a^6)*sinh(x))","B",0
244,1,356,0,1.150787," ","integrate(coth(x)*(a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{2} \, \sqrt{a} \log\left(-\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 16 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(b^{2} \cosh\left(x\right) + 4 \, a b\right)} \sinh\left(x\right)^{3} - 16 \, a b \cosh\left(x\right) + 2 \, {\left(16 \, a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 24 \, a b \cosh\left(x\right) + 16 \, a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} - 8 \, {\left(b \cosh\left(x\right)^{3} + b \sinh\left(x\right)^{3} + 4 \, a \cosh\left(x\right)^{2} + {\left(3 \, b \cosh\left(x\right) + 4 \, a\right)} \sinh\left(x\right)^{2} - b \cosh\left(x\right) + {\left(3 \, b \cosh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) - b\right)} \sinh\left(x\right)\right)} \sqrt{b \sinh\left(x\right) + a} \sqrt{a} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + 12 \, a b \cosh\left(x\right)^{2} - 4 \, a b + {\left(16 \, a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right) + 2 \, \sqrt{b \sinh\left(x\right) + a}, \sqrt{-a} \arctan\left(\frac{4 \, \sqrt{b \sinh\left(x\right) + a} \sqrt{-a} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right) - b}\right) + 2 \, \sqrt{b \sinh\left(x\right) + a}\right]"," ",0,"[1/2*sqrt(a)*log(-(b^2*cosh(x)^4 + b^2*sinh(x)^4 + 16*a*b*cosh(x)^3 + 4*(b^2*cosh(x) + 4*a*b)*sinh(x)^3 - 16*a*b*cosh(x) + 2*(16*a^2 - b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 24*a*b*cosh(x) + 16*a^2 - b^2)*sinh(x)^2 - 8*(b*cosh(x)^3 + b*sinh(x)^3 + 4*a*cosh(x)^2 + (3*b*cosh(x) + 4*a)*sinh(x)^2 - b*cosh(x) + (3*b*cosh(x)^2 + 8*a*cosh(x) - b)*sinh(x))*sqrt(b*sinh(x) + a)*sqrt(a) + b^2 + 4*(b^2*cosh(x)^3 + 12*a*b*cosh(x)^2 - 4*a*b + (16*a^2 - b^2)*cosh(x))*sinh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 1)) + 2*sqrt(b*sinh(x) + a), sqrt(-a)*arctan(4*sqrt(b*sinh(x) + a)*sqrt(-a)*(cosh(x) + sinh(x))/(b*cosh(x)^2 + b*sinh(x)^2 + 4*a*cosh(x) + 2*(b*cosh(x) + 2*a)*sinh(x) - b)) + 2*sqrt(b*sinh(x) + a)]","B",0
245,1,370,0,1.401373," ","integrate(coth(x)/(a+b*sinh(x))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 16 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(b^{2} \cosh\left(x\right) + 4 \, a b\right)} \sinh\left(x\right)^{3} - 16 \, a b \cosh\left(x\right) + 2 \, {\left(16 \, a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 24 \, a b \cosh\left(x\right) + 16 \, a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} - 8 \, {\left(b \cosh\left(x\right)^{3} + b \sinh\left(x\right)^{3} + 4 \, a \cosh\left(x\right)^{2} + {\left(3 \, b \cosh\left(x\right) + 4 \, a\right)} \sinh\left(x\right)^{2} - b \cosh\left(x\right) + {\left(3 \, b \cosh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) - b\right)} \sinh\left(x\right)\right)} \sqrt{b \sinh\left(x\right) + a} \sqrt{a} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + 12 \, a b \cosh\left(x\right)^{2} - 4 \, a b + {\left(16 \, a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right)}{2 \, \sqrt{a}}, \frac{\sqrt{-a} \arctan\left(\frac{{\left(b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + 2 \, a\right)} \sinh\left(x\right) - b\right)} \sqrt{b \sinh\left(x\right) + a} \sqrt{-a}}{2 \, {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) - a b + 2 \, {\left(a b \cosh\left(x\right) + a^{2}\right)} \sinh\left(x\right)\right)}}\right)}{a}\right]"," ",0,"[1/2*log((b^2*cosh(x)^4 + b^2*sinh(x)^4 + 16*a*b*cosh(x)^3 + 4*(b^2*cosh(x) + 4*a*b)*sinh(x)^3 - 16*a*b*cosh(x) + 2*(16*a^2 - b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 24*a*b*cosh(x) + 16*a^2 - b^2)*sinh(x)^2 - 8*(b*cosh(x)^3 + b*sinh(x)^3 + 4*a*cosh(x)^2 + (3*b*cosh(x) + 4*a)*sinh(x)^2 - b*cosh(x) + (3*b*cosh(x)^2 + 8*a*cosh(x) - b)*sinh(x))*sqrt(b*sinh(x) + a)*sqrt(a) + b^2 + 4*(b^2*cosh(x)^3 + 12*a*b*cosh(x)^2 - 4*a*b + (16*a^2 - b^2)*cosh(x))*sinh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 1))/sqrt(a), sqrt(-a)*arctan(1/2*(b*cosh(x)^2 + b*sinh(x)^2 + 4*a*cosh(x) + 2*(b*cosh(x) + 2*a)*sinh(x) - b)*sqrt(b*sinh(x) + a)*sqrt(-a)/(a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*a^2*cosh(x) - a*b + 2*(a*b*cosh(x) + a^2)*sinh(x)))/a]","B",0
246,1,170,0,2.170102," ","integrate((A+B*cosh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} A b \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(B a^{2} + B b^{2}\right)} x + {\left(B a^{2} + B b^{2}\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b + b^{3}}"," ",0,"(sqrt(a^2 + b^2)*A*b*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (B*a^2 + B*b^2)*x + (B*a^2 + B*b^2)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b + b^3)","B",0
247,1,37,0,1.996511," ","integrate((A+B*cosh(x))/(I+sinh(x)),x, algorithm=""fricas"")","-\frac{B x e^{x} + i \, B x - {\left(2 \, B e^{x} + 2 i \, B\right)} \log\left(e^{x} + i\right) + 2 \, A}{e^{x} + i}"," ",0,"-(B*x*e^x + I*B*x - (2*B*e^x + 2*I*B)*log(e^x + I) + 2*A)/(e^x + I)","A",0
248,1,36,0,1.034975," ","integrate((A+B*cosh(x))/(I-sinh(x)),x, algorithm=""fricas"")","\frac{B x e^{x} - i \, B x - {\left(2 \, B e^{x} - 2 i \, B\right)} \log\left(e^{x} - i\right) + 2 \, A}{e^{x} - i}"," ",0,"(B*x*e^x - I*B*x - (2*B*e^x - 2*I*B)*log(e^x - I) + 2*A)/(e^x - I)","A",0
249,1,172,0,6.493012," ","integrate((A+B*tanh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, B b \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - B a \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + B a \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \sqrt{a^{2} + b^{2}} A \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right)}{a^{2} + b^{2}}"," ",0,"(2*B*b*arctan(cosh(x) + sinh(x)) - B*a*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + B*a*log(2*cosh(x)/(cosh(x) - sinh(x))) + sqrt(a^2 + b^2)*A*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)))/(a^2 + b^2)","B",0
250,1,183,0,1.627888," ","integrate((A+B*coth(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} A a \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) - {\left(B a^{2} + B b^{2}\right)} \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(B a^{2} + B b^{2}\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{3} + a b^{2}}"," ",0,"(sqrt(a^2 + b^2)*A*a*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) - (B*a^2 + B*b^2)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + (B*a^2 + B*b^2)*log(2*sinh(x)/(cosh(x) - sinh(x))))/(a^3 + a*b^2)","B",0
251,1,172,0,8.215128," ","integrate((A+B*sech(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, B a \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + B b \log\left(\frac{2 \, {\left(b \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - B b \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \sqrt{a^{2} + b^{2}} A \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right)}{a^{2} + b^{2}}"," ",0,"(2*B*a*arctan(cosh(x) + sinh(x)) + B*b*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) - B*b*log(2*cosh(x)/(cosh(x) - sinh(x))) + sqrt(a^2 + b^2)*A*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)))/(a^2 + b^2)","B",0
252,1,172,0,1.468500," ","integrate((A+B*csch(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(A a - B b\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} + b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) - b}\right) + {\left(B a^{2} + B b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(B a^{2} + B b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{3} + a b^{2}}"," ",0,"-((A*a - B*b)*sqrt(a^2 + b^2)*log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 + b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) - b)) + (B*a^2 + B*b^2)*log(cosh(x) + sinh(x) + 1) - (B*a^2 + B*b^2)*log(cosh(x) + sinh(x) - 1))/(a^3 + a*b^2)","B",0
253,1,249,0,1.397823," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d)),x, algorithm=""fricas"")","-\frac{{\left({\left(B - C\right)} a^{2} + {\left(B - C\right)} c^{2}\right)} e x + {\left(C a - A c\right)} \sqrt{a^{2} + c^{2}} \log\left(\frac{c^{2} \cosh\left(e x + d\right)^{2} + c^{2} \sinh\left(e x + d\right)^{2} + 2 \, a c \cosh\left(e x + d\right) + 2 \, a^{2} + c^{2} + 2 \, {\left(c^{2} \cosh\left(e x + d\right) + a c\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} + c^{2}} {\left(c \cosh\left(e x + d\right) + c \sinh\left(e x + d\right) + a\right)}}{c \cosh\left(e x + d\right)^{2} + c \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(c \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) - c}\right) - {\left(B a^{2} + B c^{2}\right)} \log\left(\frac{2 \, {\left(c \sinh\left(e x + d\right) + a\right)}}{\cosh\left(e x + d\right) - \sinh\left(e x + d\right)}\right)}{{\left(a^{2} c + c^{3}\right)} e}"," ",0,"-(((B - C)*a^2 + (B - C)*c^2)*e*x + (C*a - A*c)*sqrt(a^2 + c^2)*log((c^2*cosh(e*x + d)^2 + c^2*sinh(e*x + d)^2 + 2*a*c*cosh(e*x + d) + 2*a^2 + c^2 + 2*(c^2*cosh(e*x + d) + a*c)*sinh(e*x + d) - 2*sqrt(a^2 + c^2)*(c*cosh(e*x + d) + c*sinh(e*x + d) + a))/(c*cosh(e*x + d)^2 + c*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(c*cosh(e*x + d) + a)*sinh(e*x + d) - c)) - (B*a^2 + B*c^2)*log(2*(c*sinh(e*x + d) + a)/(cosh(e*x + d) - sinh(e*x + d))))/((a^2*c + c^3)*e)","B",0
254,1,570,0,0.682363," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^2,x, algorithm=""fricas"")","\frac{2 \, C a^{3} c - 2 \, A a^{2} c^{2} + 2 \, C a c^{3} - 2 \, A c^{4} - {\left(A a c^{2} + C c^{3} - {\left(A a c^{2} + C c^{3}\right)} \cosh\left(e x + d\right)^{2} - {\left(A a c^{2} + C c^{3}\right)} \sinh\left(e x + d\right)^{2} - 2 \, {\left(A a^{2} c + C a c^{2}\right)} \cosh\left(e x + d\right) - 2 \, {\left(A a^{2} c + C a c^{2} + {\left(A a c^{2} + C c^{3}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} + c^{2}} \log\left(\frac{c^{2} \cosh\left(e x + d\right)^{2} + c^{2} \sinh\left(e x + d\right)^{2} + 2 \, a c \cosh\left(e x + d\right) + 2 \, a^{2} + c^{2} + 2 \, {\left(c^{2} \cosh\left(e x + d\right) + a c\right)} \sinh\left(e x + d\right) - 2 \, \sqrt{a^{2} + c^{2}} {\left(c \cosh\left(e x + d\right) + c \sinh\left(e x + d\right) + a\right)}}{c \cosh\left(e x + d\right)^{2} + c \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(c \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) - c}\right) - 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} c + {\left(2 \, B + C\right)} a^{2} c^{2} - A a c^{3} + B c^{4}\right)} \cosh\left(e x + d\right) - 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} c + {\left(2 \, B + C\right)} a^{2} c^{2} - A a c^{3} + B c^{4}\right)} \sinh\left(e x + d\right)}{{\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6}\right)} e \cosh\left(e x + d\right)^{2} + {\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6}\right)} e \sinh\left(e x + d\right)^{2} + 2 \, {\left(a^{5} c + 2 \, a^{3} c^{3} + a c^{5}\right)} e \cosh\left(e x + d\right) - {\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6}\right)} e + 2 \, {\left({\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6}\right)} e \cosh\left(e x + d\right) + {\left(a^{5} c + 2 \, a^{3} c^{3} + a c^{5}\right)} e\right)} \sinh\left(e x + d\right)}"," ",0,"(2*C*a^3*c - 2*A*a^2*c^2 + 2*C*a*c^3 - 2*A*c^4 - (A*a*c^2 + C*c^3 - (A*a*c^2 + C*c^3)*cosh(e*x + d)^2 - (A*a*c^2 + C*c^3)*sinh(e*x + d)^2 - 2*(A*a^2*c + C*a*c^2)*cosh(e*x + d) - 2*(A*a^2*c + C*a*c^2 + (A*a*c^2 + C*c^3)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 + c^2)*log((c^2*cosh(e*x + d)^2 + c^2*sinh(e*x + d)^2 + 2*a*c*cosh(e*x + d) + 2*a^2 + c^2 + 2*(c^2*cosh(e*x + d) + a*c)*sinh(e*x + d) - 2*sqrt(a^2 + c^2)*(c*cosh(e*x + d) + c*sinh(e*x + d) + a))/(c*cosh(e*x + d)^2 + c*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(c*cosh(e*x + d) + a)*sinh(e*x + d) - c)) - 2*((B + C)*a^4 - A*a^3*c + (2*B + C)*a^2*c^2 - A*a*c^3 + B*c^4)*cosh(e*x + d) - 2*((B + C)*a^4 - A*a^3*c + (2*B + C)*a^2*c^2 - A*a*c^3 + B*c^4)*sinh(e*x + d))/((a^4*c^2 + 2*a^2*c^4 + c^6)*e*cosh(e*x + d)^2 + (a^4*c^2 + 2*a^2*c^4 + c^6)*e*sinh(e*x + d)^2 + 2*(a^5*c + 2*a^3*c^3 + a*c^5)*e*cosh(e*x + d) - (a^4*c^2 + 2*a^2*c^4 + c^6)*e + 2*((a^4*c^2 + 2*a^2*c^4 + c^6)*e*cosh(e*x + d) + (a^5*c + 2*a^3*c^3 + a*c^5)*e)*sinh(e*x + d))","B",0
255,1,1880,0,1.278488," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^3,x, algorithm=""fricas"")","-\frac{2 \, C a^{4} c^{2} - 6 \, A a^{3} c^{3} - 2 \, C a^{2} c^{4} - 6 \, A a c^{5} - 4 \, C c^{6} - 2 \, {\left(2 \, A a^{4} c^{2} + 3 \, C a^{3} c^{3} + A a^{2} c^{4} + 3 \, C a c^{5} - A c^{6}\right)} \cosh\left(e x + d\right)^{3} - 2 \, {\left(2 \, A a^{4} c^{2} + 3 \, C a^{3} c^{3} + A a^{2} c^{4} + 3 \, C a c^{5} - A c^{6}\right)} \sinh\left(e x + d\right)^{3} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} c + 3 \, {\left(2 \, B - C\right)} a^{4} c^{2} - 3 \, A a^{3} c^{3} + 3 \, {\left(2 \, B - C\right)} a^{2} c^{4} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} c + 3 \, {\left(2 \, B - C\right)} a^{4} c^{2} - 3 \, A a^{3} c^{3} + 3 \, {\left(2 \, B - C\right)} a^{2} c^{4} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} - 3 \, {\left(2 \, A a^{4} c^{2} + 3 \, C a^{3} c^{3} + A a^{2} c^{4} + 3 \, C a c^{5} - A c^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5} + {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5}\right)} \cosh\left(e x + d\right)^{4} + {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5}\right)} \sinh\left(e x + d\right)^{4} + 4 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4}\right)} \cosh\left(e x + d\right)^{3} + 4 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4} + {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{4} c + 6 \, C a^{3} c^{2} - 4 \, A a^{2} c^{3} - 3 \, C a c^{4} + A c^{5}\right)} \cosh\left(e x + d\right)^{2} + 2 \, {\left(4 \, A a^{4} c + 6 \, C a^{3} c^{2} - 4 \, A a^{2} c^{3} - 3 \, C a c^{4} + A c^{5} + 3 \, {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5}\right)} \cosh\left(e x + d\right)^{2} + 6 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} - 4 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4}\right)} \cosh\left(e x + d\right) - 4 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4} - {\left(2 \, A a^{2} c^{3} + 3 \, C a c^{4} - A c^{5}\right)} \cosh\left(e x + d\right)^{3} - 3 \, {\left(2 \, A a^{3} c^{2} + 3 \, C a^{2} c^{3} - A a c^{4}\right)} \cosh\left(e x + d\right)^{2} - {\left(4 \, A a^{4} c + 6 \, C a^{3} c^{2} - 4 \, A a^{2} c^{3} - 3 \, C a c^{4} + A c^{5}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} + c^{2}} \log\left(\frac{c^{2} \cosh\left(e x + d\right)^{2} + c^{2} \sinh\left(e x + d\right)^{2} + 2 \, a c \cosh\left(e x + d\right) + 2 \, a^{2} + c^{2} + 2 \, {\left(c^{2} \cosh\left(e x + d\right) + a c\right)} \sinh\left(e x + d\right) + 2 \, \sqrt{a^{2} + c^{2}} {\left(c \cosh\left(e x + d\right) + c \sinh\left(e x + d\right) + a\right)}}{c \cosh\left(e x + d\right)^{2} + c \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(c \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) - c}\right) - 2 \, {\left(4 \, C a^{5} c - 10 \, A a^{4} c^{2} - C a^{3} c^{3} - 11 \, A a^{2} c^{4} - 5 \, C a c^{5} - A c^{6}\right)} \cosh\left(e x + d\right) - 2 \, {\left(4 \, C a^{5} c - 10 \, A a^{4} c^{2} - C a^{3} c^{3} - 11 \, A a^{2} c^{4} - 5 \, C a c^{5} - A c^{6} + 3 \, {\left(2 \, A a^{4} c^{2} + 3 \, C a^{3} c^{3} + A a^{2} c^{4} + 3 \, C a c^{5} - A c^{6}\right)} \cosh\left(e x + d\right)^{2} - 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} c + 3 \, {\left(2 \, B - C\right)} a^{4} c^{2} - 3 \, A a^{3} c^{3} + 3 \, {\left(2 \, B - C\right)} a^{2} c^{4} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{2 \, {\left({\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e \cosh\left(e x + d\right)^{4} + {\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e \sinh\left(e x + d\right)^{4} + 4 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{8} c + 5 \, a^{6} c^{3} + 3 \, a^{4} c^{5} - a^{2} c^{7} - c^{9}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left({\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e \cosh\left(e x + d\right) + {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e\right)} \sinh\left(e x + d\right)^{3} - 4 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e \cosh\left(e x + d\right) + 2 \, {\left(3 \, {\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e \cosh\left(e x + d\right)^{2} + 6 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{8} c + 5 \, a^{6} c^{3} + 3 \, a^{4} c^{5} - a^{2} c^{7} - c^{9}\right)} e\right)} \sinh\left(e x + d\right)^{2} + {\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e + 4 \, {\left({\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e \cosh\left(e x + d\right)^{2} + {\left(2 \, a^{8} c + 5 \, a^{6} c^{3} + 3 \, a^{4} c^{5} - a^{2} c^{7} - c^{9}\right)} e \cosh\left(e x + d\right) - {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"-1/2*(2*C*a^4*c^2 - 6*A*a^3*c^3 - 2*C*a^2*c^4 - 6*A*a*c^5 - 4*C*c^6 - 2*(2*A*a^4*c^2 + 3*C*a^3*c^3 + A*a^2*c^4 + 3*C*a*c^5 - A*c^6)*cosh(e*x + d)^3 - 2*(2*A*a^4*c^2 + 3*C*a^3*c^3 + A*a^2*c^4 + 3*C*a*c^5 - A*c^6)*sinh(e*x + d)^3 + 2*(2*(B + C)*a^6 - 6*A*a^5*c + 3*(2*B - C)*a^4*c^2 - 3*A*a^3*c^3 + 3*(2*B - C)*a^2*c^4 + 3*A*a*c^5 + 2*(B + C)*c^6)*cosh(e*x + d)^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*c + 3*(2*B - C)*a^4*c^2 - 3*A*a^3*c^3 + 3*(2*B - C)*a^2*c^4 + 3*A*a*c^5 + 2*(B + C)*c^6 - 3*(2*A*a^4*c^2 + 3*C*a^3*c^3 + A*a^2*c^4 + 3*C*a*c^5 - A*c^6)*cosh(e*x + d))*sinh(e*x + d)^2 + (2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5 + (2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5)*cosh(e*x + d)^4 + (2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5)*sinh(e*x + d)^4 + 4*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4)*cosh(e*x + d)^3 + 4*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4 + (2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5)*cosh(e*x + d))*sinh(e*x + d)^3 + 2*(4*A*a^4*c + 6*C*a^3*c^2 - 4*A*a^2*c^3 - 3*C*a*c^4 + A*c^5)*cosh(e*x + d)^2 + 2*(4*A*a^4*c + 6*C*a^3*c^2 - 4*A*a^2*c^3 - 3*C*a*c^4 + A*c^5 + 3*(2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5)*cosh(e*x + d)^2 + 6*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4)*cosh(e*x + d))*sinh(e*x + d)^2 - 4*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4)*cosh(e*x + d) - 4*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4 - (2*A*a^2*c^3 + 3*C*a*c^4 - A*c^5)*cosh(e*x + d)^3 - 3*(2*A*a^3*c^2 + 3*C*a^2*c^3 - A*a*c^4)*cosh(e*x + d)^2 - (4*A*a^4*c + 6*C*a^3*c^2 - 4*A*a^2*c^3 - 3*C*a*c^4 + A*c^5)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 + c^2)*log((c^2*cosh(e*x + d)^2 + c^2*sinh(e*x + d)^2 + 2*a*c*cosh(e*x + d) + 2*a^2 + c^2 + 2*(c^2*cosh(e*x + d) + a*c)*sinh(e*x + d) + 2*sqrt(a^2 + c^2)*(c*cosh(e*x + d) + c*sinh(e*x + d) + a))/(c*cosh(e*x + d)^2 + c*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(c*cosh(e*x + d) + a)*sinh(e*x + d) - c)) - 2*(4*C*a^5*c - 10*A*a^4*c^2 - C*a^3*c^3 - 11*A*a^2*c^4 - 5*C*a*c^5 - A*c^6)*cosh(e*x + d) - 2*(4*C*a^5*c - 10*A*a^4*c^2 - C*a^3*c^3 - 11*A*a^2*c^4 - 5*C*a*c^5 - A*c^6 + 3*(2*A*a^4*c^2 + 3*C*a^3*c^3 + A*a^2*c^4 + 3*C*a*c^5 - A*c^6)*cosh(e*x + d)^2 - 2*(2*(B + C)*a^6 - 6*A*a^5*c + 3*(2*B - C)*a^4*c^2 - 3*A*a^3*c^3 + 3*(2*B - C)*a^2*c^4 + 3*A*a*c^5 + 2*(B + C)*c^6)*cosh(e*x + d))*sinh(e*x + d))/((a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e*cosh(e*x + d)^4 + (a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e*sinh(e*x + d)^4 + 4*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e*cosh(e*x + d)^3 + 2*(2*a^8*c + 5*a^6*c^3 + 3*a^4*c^5 - a^2*c^7 - c^9)*e*cosh(e*x + d)^2 + 4*((a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e*cosh(e*x + d) + (a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e)*sinh(e*x + d)^3 - 4*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e*cosh(e*x + d) + 2*(3*(a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e*cosh(e*x + d)^2 + 6*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e*cosh(e*x + d) + (2*a^8*c + 5*a^6*c^3 + 3*a^4*c^5 - a^2*c^7 - c^9)*e)*sinh(e*x + d)^2 + (a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e + 4*((a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e*cosh(e*x + d)^3 + 3*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e*cosh(e*x + d)^2 + (2*a^8*c + 5*a^6*c^3 + 3*a^4*c^5 - a^2*c^7 - c^9)*e*cosh(e*x + d) - (a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e)*sinh(e*x + d))","B",0
256,1,4350,0,1.017776," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^4,x, algorithm=""fricas"")","\frac{4 \, C a^{5} c^{3} - 22 \, A a^{4} c^{4} - 22 \, C a^{3} c^{5} - 14 \, A a^{2} c^{6} - 26 \, C a c^{7} + 8 \, A c^{8} + 6 \, {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right)^{5} + 6 \, {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \sinh\left(e x + d\right)^{5} + 30 \, {\left(2 \, A a^{6} c^{2} + 4 \, C a^{5} c^{3} - A a^{4} c^{4} + 3 \, C a^{3} c^{5} - 3 \, A a^{2} c^{6} - C a c^{7}\right)} \cosh\left(e x + d\right)^{4} + 30 \, {\left(2 \, A a^{6} c^{2} + 4 \, C a^{5} c^{3} - A a^{4} c^{4} + 3 \, C a^{3} c^{5} - 3 \, A a^{2} c^{6} - C a c^{7} + {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} - 4 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} c + 4 \, {\left(4 \, B - 7 \, C\right)} a^{6} c^{2} + 19 \, A a^{5} c^{3} + {\left(24 \, B + 7 \, C\right)} a^{4} c^{4} + 29 \, A a^{3} c^{5} + {\left(16 \, B + 39 \, C\right)} a^{2} c^{6} - 12 \, A a c^{7} + 4 \, B c^{8}\right)} \cosh\left(e x + d\right)^{3} - 4 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} c + 4 \, {\left(4 \, B - 7 \, C\right)} a^{6} c^{2} + 19 \, A a^{5} c^{3} + {\left(24 \, B + 7 \, C\right)} a^{4} c^{4} + 29 \, A a^{3} c^{5} + {\left(16 \, B + 39 \, C\right)} a^{2} c^{6} - 12 \, A a c^{7} + 4 \, B c^{8} - 15 \, {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right)^{2} - 30 \, {\left(2 \, A a^{6} c^{2} + 4 \, C a^{5} c^{3} - A a^{4} c^{4} + 3 \, C a^{3} c^{5} - 3 \, A a^{2} c^{6} - C a c^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 12 \, {\left(4 \, C a^{7} c - 17 \, A a^{6} c^{2} - 13 \, C a^{5} c^{3} - 11 \, A a^{4} c^{4} - 13 \, C a^{3} c^{5} + 4 \, A a^{2} c^{6} + 4 \, C a c^{7} - 2 \, A c^{8}\right)} \cosh\left(e x + d\right)^{2} + 12 \, {\left(4 \, C a^{7} c - 17 \, A a^{6} c^{2} - 13 \, C a^{5} c^{3} - 11 \, A a^{4} c^{4} - 13 \, C a^{3} c^{5} + 4 \, A a^{2} c^{6} + 4 \, C a c^{7} - 2 \, A c^{8} + 5 \, {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right)^{3} + 15 \, {\left(2 \, A a^{6} c^{2} + 4 \, C a^{5} c^{3} - A a^{4} c^{4} + 3 \, C a^{3} c^{5} - 3 \, A a^{2} c^{6} - C a c^{7}\right)} \cosh\left(e x + d\right)^{2} - {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} c + 4 \, {\left(4 \, B - 7 \, C\right)} a^{6} c^{2} + 19 \, A a^{5} c^{3} + {\left(24 \, B + 7 \, C\right)} a^{4} c^{4} + 29 \, A a^{3} c^{5} + {\left(16 \, B + 39 \, C\right)} a^{2} c^{6} - 12 \, A a c^{7} + 4 \, B c^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 3 \, {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7} - {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)^{6} - {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \sinh\left(e x + d\right)^{6} - 6 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right)^{5} - 6 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6} + {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} - 3 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)^{4} - 3 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7} + 5 \, {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)^{2} + 10 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{4} - 4 \, {\left(4 \, A a^{6} c + 8 \, C a^{5} c^{2} - 12 \, A a^{4} c^{3} - 14 \, C a^{3} c^{4} + 9 \, A a^{2} c^{5} + 3 \, C a c^{6}\right)} \cosh\left(e x + d\right)^{3} - 4 \, {\left(4 \, A a^{6} c + 8 \, C a^{5} c^{2} - 12 \, A a^{4} c^{3} - 14 \, C a^{3} c^{4} + 9 \, A a^{2} c^{5} + 3 \, C a c^{6} + 5 \, {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)^{3} + 15 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{3} + 3 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)^{2} + 3 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7} - 5 \, {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)^{4} - 20 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right)^{3} - 6 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)^{2} - 4 \, {\left(4 \, A a^{6} c + 8 \, C a^{5} c^{2} - 12 \, A a^{4} c^{3} - 14 \, C a^{3} c^{4} + 9 \, A a^{2} c^{5} + 3 \, C a c^{6}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} - 6 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right) - 6 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6} + {\left(2 \, A a^{3} c^{4} + 4 \, C a^{2} c^{5} - 3 \, A a c^{6} - C c^{7}\right)} \cosh\left(e x + d\right)^{5} + 5 \, {\left(2 \, A a^{4} c^{3} + 4 \, C a^{3} c^{4} - 3 \, A a^{2} c^{5} - C a c^{6}\right)} \cosh\left(e x + d\right)^{4} + 2 \, {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, A a^{6} c + 8 \, C a^{5} c^{2} - 12 \, A a^{4} c^{3} - 14 \, C a^{3} c^{4} + 9 \, A a^{2} c^{5} + 3 \, C a c^{6}\right)} \cosh\left(e x + d\right)^{2} - {\left(8 \, A a^{5} c^{2} + 16 \, C a^{4} c^{3} - 14 \, A a^{3} c^{4} - 8 \, C a^{2} c^{5} + 3 \, A a c^{6} + C c^{7}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)\right)} \sqrt{a^{2} + c^{2}} \log\left(\frac{c^{2} \cosh\left(e x + d\right)^{2} + c^{2} \sinh\left(e x + d\right)^{2} + 2 \, a c \cosh\left(e x + d\right) + 2 \, a^{2} + c^{2} + 2 \, {\left(c^{2} \cosh\left(e x + d\right) + a c\right)} \sinh\left(e x + d\right) + 2 \, \sqrt{a^{2} + c^{2}} {\left(c \cosh\left(e x + d\right) + c \sinh\left(e x + d\right) + a\right)}}{c \cosh\left(e x + d\right)^{2} + c \sinh\left(e x + d\right)^{2} + 2 \, a \cosh\left(e x + d\right) + 2 \, {\left(c \cosh\left(e x + d\right) + a\right)} \sinh\left(e x + d\right) - c}\right) - 6 \, {\left(4 \, C a^{6} c^{2} - 20 \, A a^{5} c^{3} - 18 \, C a^{4} c^{4} - 15 \, A a^{3} c^{5} - 23 \, C a^{2} c^{6} + 5 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right) - 6 \, {\left(4 \, C a^{6} c^{2} - 20 \, A a^{5} c^{3} - 18 \, C a^{4} c^{4} - 15 \, A a^{3} c^{5} - 23 \, C a^{2} c^{6} + 5 \, A a c^{7} - C c^{8} - 5 \, {\left(2 \, A a^{5} c^{3} + 4 \, C a^{4} c^{4} - A a^{3} c^{5} + 3 \, C a^{2} c^{6} - 3 \, A a c^{7} - C c^{8}\right)} \cosh\left(e x + d\right)^{4} - 20 \, {\left(2 \, A a^{6} c^{2} + 4 \, C a^{5} c^{3} - A a^{4} c^{4} + 3 \, C a^{3} c^{5} - 3 \, A a^{2} c^{6} - C a c^{7}\right)} \cosh\left(e x + d\right)^{3} + 2 \, {\left(4 \, {\left(B + C\right)} a^{8} - 22 \, A a^{7} c + 4 \, {\left(4 \, B - 7 \, C\right)} a^{6} c^{2} + 19 \, A a^{5} c^{3} + {\left(24 \, B + 7 \, C\right)} a^{4} c^{4} + 29 \, A a^{3} c^{5} + {\left(16 \, B + 39 \, C\right)} a^{2} c^{6} - 12 \, A a c^{7} + 4 \, B c^{8}\right)} \cosh\left(e x + d\right)^{2} - 4 \, {\left(4 \, C a^{7} c - 17 \, A a^{6} c^{2} - 13 \, C a^{5} c^{3} - 11 \, A a^{4} c^{4} - 13 \, C a^{3} c^{5} + 4 \, A a^{2} c^{6} + 4 \, C a c^{7} - 2 \, A c^{8}\right)} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)}{6 \, {\left({\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right)^{6} + {\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \sinh\left(e x + d\right)^{6} + 6 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right)^{5} + 3 \, {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right)^{4} + 6 \, {\left({\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e\right)} \sinh\left(e x + d\right)^{5} + 4 \, {\left(2 \, a^{11} c + 5 \, a^{9} c^{3} - 10 \, a^{5} c^{7} - 10 \, a^{3} c^{9} - 3 \, a c^{11}\right)} e \cosh\left(e x + d\right)^{3} + 3 \, {\left(5 \, {\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right)^{2} + 10 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right) + {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e\right)} \sinh\left(e x + d\right)^{4} - 3 \, {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(5 \, {\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right)^{3} + 15 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right)^{2} + 3 \, {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right) + {\left(2 \, a^{11} c + 5 \, a^{9} c^{3} - 10 \, a^{5} c^{7} - 10 \, a^{3} c^{9} - 3 \, a c^{11}\right)} e\right)} \sinh\left(e x + d\right)^{3} + 6 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right) + 3 \, {\left(5 \, {\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right)^{4} + 20 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right)^{3} + 6 \, {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right)^{2} + 4 \, {\left(2 \, a^{11} c + 5 \, a^{9} c^{3} - 10 \, a^{5} c^{7} - 10 \, a^{3} c^{9} - 3 \, a c^{11}\right)} e \cosh\left(e x + d\right) - {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e\right)} \sinh\left(e x + d\right)^{2} - {\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e + 6 \, {\left({\left(a^{8} c^{4} + 4 \, a^{6} c^{6} + 6 \, a^{4} c^{8} + 4 \, a^{2} c^{10} + c^{12}\right)} e \cosh\left(e x + d\right)^{5} + 5 \, {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e \cosh\left(e x + d\right)^{4} + 2 \, {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right)^{3} + 2 \, {\left(2 \, a^{11} c + 5 \, a^{9} c^{3} - 10 \, a^{5} c^{7} - 10 \, a^{3} c^{9} - 3 \, a c^{11}\right)} e \cosh\left(e x + d\right)^{2} - {\left(4 \, a^{10} c^{2} + 15 \, a^{8} c^{4} + 20 \, a^{6} c^{6} + 10 \, a^{4} c^{8} - c^{12}\right)} e \cosh\left(e x + d\right) + {\left(a^{9} c^{3} + 4 \, a^{7} c^{5} + 6 \, a^{5} c^{7} + 4 \, a^{3} c^{9} + a c^{11}\right)} e\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/6*(4*C*a^5*c^3 - 22*A*a^4*c^4 - 22*C*a^3*c^5 - 14*A*a^2*c^6 - 26*C*a*c^7 + 8*A*c^8 + 6*(2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*cosh(e*x + d)^5 + 6*(2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*sinh(e*x + d)^5 + 30*(2*A*a^6*c^2 + 4*C*a^5*c^3 - A*a^4*c^4 + 3*C*a^3*c^5 - 3*A*a^2*c^6 - C*a*c^7)*cosh(e*x + d)^4 + 30*(2*A*a^6*c^2 + 4*C*a^5*c^3 - A*a^4*c^4 + 3*C*a^3*c^5 - 3*A*a^2*c^6 - C*a*c^7 + (2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*cosh(e*x + d))*sinh(e*x + d)^4 - 4*(4*(B + C)*a^8 - 22*A*a^7*c + 4*(4*B - 7*C)*a^6*c^2 + 19*A*a^5*c^3 + (24*B + 7*C)*a^4*c^4 + 29*A*a^3*c^5 + (16*B + 39*C)*a^2*c^6 - 12*A*a*c^7 + 4*B*c^8)*cosh(e*x + d)^3 - 4*(4*(B + C)*a^8 - 22*A*a^7*c + 4*(4*B - 7*C)*a^6*c^2 + 19*A*a^5*c^3 + (24*B + 7*C)*a^4*c^4 + 29*A*a^3*c^5 + (16*B + 39*C)*a^2*c^6 - 12*A*a*c^7 + 4*B*c^8 - 15*(2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*cosh(e*x + d)^2 - 30*(2*A*a^6*c^2 + 4*C*a^5*c^3 - A*a^4*c^4 + 3*C*a^3*c^5 - 3*A*a^2*c^6 - C*a*c^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 12*(4*C*a^7*c - 17*A*a^6*c^2 - 13*C*a^5*c^3 - 11*A*a^4*c^4 - 13*C*a^3*c^5 + 4*A*a^2*c^6 + 4*C*a*c^7 - 2*A*c^8)*cosh(e*x + d)^2 + 12*(4*C*a^7*c - 17*A*a^6*c^2 - 13*C*a^5*c^3 - 11*A*a^4*c^4 - 13*C*a^3*c^5 + 4*A*a^2*c^6 + 4*C*a*c^7 - 2*A*c^8 + 5*(2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*cosh(e*x + d)^3 + 15*(2*A*a^6*c^2 + 4*C*a^5*c^3 - A*a^4*c^4 + 3*C*a^3*c^5 - 3*A*a^2*c^6 - C*a*c^7)*cosh(e*x + d)^2 - (4*(B + C)*a^8 - 22*A*a^7*c + 4*(4*B - 7*C)*a^6*c^2 + 19*A*a^5*c^3 + (24*B + 7*C)*a^4*c^4 + 29*A*a^3*c^5 + (16*B + 39*C)*a^2*c^6 - 12*A*a*c^7 + 4*B*c^8)*cosh(e*x + d))*sinh(e*x + d)^2 + 3*(2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7 - (2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d)^6 - (2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*sinh(e*x + d)^6 - 6*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d)^5 - 6*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6 + (2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d))*sinh(e*x + d)^5 - 3*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d)^4 - 3*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7 + 5*(2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d)^2 + 10*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d))*sinh(e*x + d)^4 - 4*(4*A*a^6*c + 8*C*a^5*c^2 - 12*A*a^4*c^3 - 14*C*a^3*c^4 + 9*A*a^2*c^5 + 3*C*a*c^6)*cosh(e*x + d)^3 - 4*(4*A*a^6*c + 8*C*a^5*c^2 - 12*A*a^4*c^3 - 14*C*a^3*c^4 + 9*A*a^2*c^5 + 3*C*a*c^6 + 5*(2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d)^3 + 15*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d)^2 + 3*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d))*sinh(e*x + d)^3 + 3*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d)^2 + 3*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7 - 5*(2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d)^4 - 20*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d)^3 - 6*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d)^2 - 4*(4*A*a^6*c + 8*C*a^5*c^2 - 12*A*a^4*c^3 - 14*C*a^3*c^4 + 9*A*a^2*c^5 + 3*C*a*c^6)*cosh(e*x + d))*sinh(e*x + d)^2 - 6*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d) - 6*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6 + (2*A*a^3*c^4 + 4*C*a^2*c^5 - 3*A*a*c^6 - C*c^7)*cosh(e*x + d)^5 + 5*(2*A*a^4*c^3 + 4*C*a^3*c^4 - 3*A*a^2*c^5 - C*a*c^6)*cosh(e*x + d)^4 + 2*(8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d)^3 + 2*(4*A*a^6*c + 8*C*a^5*c^2 - 12*A*a^4*c^3 - 14*C*a^3*c^4 + 9*A*a^2*c^5 + 3*C*a*c^6)*cosh(e*x + d)^2 - (8*A*a^5*c^2 + 16*C*a^4*c^3 - 14*A*a^3*c^4 - 8*C*a^2*c^5 + 3*A*a*c^6 + C*c^7)*cosh(e*x + d))*sinh(e*x + d))*sqrt(a^2 + c^2)*log((c^2*cosh(e*x + d)^2 + c^2*sinh(e*x + d)^2 + 2*a*c*cosh(e*x + d) + 2*a^2 + c^2 + 2*(c^2*cosh(e*x + d) + a*c)*sinh(e*x + d) + 2*sqrt(a^2 + c^2)*(c*cosh(e*x + d) + c*sinh(e*x + d) + a))/(c*cosh(e*x + d)^2 + c*sinh(e*x + d)^2 + 2*a*cosh(e*x + d) + 2*(c*cosh(e*x + d) + a)*sinh(e*x + d) - c)) - 6*(4*C*a^6*c^2 - 20*A*a^5*c^3 - 18*C*a^4*c^4 - 15*A*a^3*c^5 - 23*C*a^2*c^6 + 5*A*a*c^7 - C*c^8)*cosh(e*x + d) - 6*(4*C*a^6*c^2 - 20*A*a^5*c^3 - 18*C*a^4*c^4 - 15*A*a^3*c^5 - 23*C*a^2*c^6 + 5*A*a*c^7 - C*c^8 - 5*(2*A*a^5*c^3 + 4*C*a^4*c^4 - A*a^3*c^5 + 3*C*a^2*c^6 - 3*A*a*c^7 - C*c^8)*cosh(e*x + d)^4 - 20*(2*A*a^6*c^2 + 4*C*a^5*c^3 - A*a^4*c^4 + 3*C*a^3*c^5 - 3*A*a^2*c^6 - C*a*c^7)*cosh(e*x + d)^3 + 2*(4*(B + C)*a^8 - 22*A*a^7*c + 4*(4*B - 7*C)*a^6*c^2 + 19*A*a^5*c^3 + (24*B + 7*C)*a^4*c^4 + 29*A*a^3*c^5 + (16*B + 39*C)*a^2*c^6 - 12*A*a*c^7 + 4*B*c^8)*cosh(e*x + d)^2 - 4*(4*C*a^7*c - 17*A*a^6*c^2 - 13*C*a^5*c^3 - 11*A*a^4*c^4 - 13*C*a^3*c^5 + 4*A*a^2*c^6 + 4*C*a*c^7 - 2*A*c^8)*cosh(e*x + d))*sinh(e*x + d))/((a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d)^6 + (a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*sinh(e*x + d)^6 + 6*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d)^5 + 3*(4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d)^4 + 6*((a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d) + (a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e)*sinh(e*x + d)^5 + 4*(2*a^11*c + 5*a^9*c^3 - 10*a^5*c^7 - 10*a^3*c^9 - 3*a*c^11)*e*cosh(e*x + d)^3 + 3*(5*(a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d)^2 + 10*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d) + (4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e)*sinh(e*x + d)^4 - 3*(4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d)^2 + 4*(5*(a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d)^3 + 15*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d)^2 + 3*(4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d) + (2*a^11*c + 5*a^9*c^3 - 10*a^5*c^7 - 10*a^3*c^9 - 3*a*c^11)*e)*sinh(e*x + d)^3 + 6*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d) + 3*(5*(a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d)^4 + 20*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d)^3 + 6*(4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d)^2 + 4*(2*a^11*c + 5*a^9*c^3 - 10*a^5*c^7 - 10*a^3*c^9 - 3*a*c^11)*e*cosh(e*x + d) - (4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e)*sinh(e*x + d)^2 - (a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e + 6*((a^8*c^4 + 4*a^6*c^6 + 6*a^4*c^8 + 4*a^2*c^10 + c^12)*e*cosh(e*x + d)^5 + 5*(a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e*cosh(e*x + d)^4 + 2*(4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d)^3 + 2*(2*a^11*c + 5*a^9*c^3 - 10*a^5*c^7 - 10*a^3*c^9 - 3*a*c^11)*e*cosh(e*x + d)^2 - (4*a^10*c^2 + 15*a^8*c^4 + 20*a^6*c^6 + 10*a^4*c^8 - c^12)*e*cosh(e*x + d) + (a^9*c^3 + 4*a^7*c^5 + 6*a^5*c^7 + 4*a^3*c^9 + a*c^11)*e)*sinh(e*x + d))","B",0
257,1,1655,0,0.850501," ","integrate(x^3/(a+b*sinh(x)^2),x, algorithm=""fricas"")","-\frac{b x^{3} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b}\right) + b x^{3} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b}\right) - b x^{3} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b}\right) - b x^{3} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b}\right) + 3 \, b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b} + 1\right) + 3 \, b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b} + 1\right) - 6 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) - 6 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right) + 6 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(4, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) + 6 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) - 6 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(4, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right) - 6 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right)}{2 \, {\left(a^{2} - a b\right)}}"," ",0,"-1/2*(b*x^3*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b) + b*x^3*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b) - b*x^3*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b) - b*x^3*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b) + 3*b*x^2*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b + 1) + 3*b*x^2*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b + 1) - 3*b*x^2*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b + 1) - 3*b*x^2*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b + 1) - 6*b*x*sqrt((a^2 - a*b)/b^2)*polylog(3, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) - 6*b*x*sqrt((a^2 - a*b)/b^2)*polylog(3, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) + 6*b*x*sqrt((a^2 - a*b)/b^2)*polylog(3, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b) + 6*b*x*sqrt((a^2 - a*b)/b^2)*polylog(3, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b) + 6*b*sqrt((a^2 - a*b)/b^2)*polylog(4, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) + 6*b*sqrt((a^2 - a*b)/b^2)*polylog(4, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) - 6*b*sqrt((a^2 - a*b)/b^2)*polylog(4, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b) - 6*b*sqrt((a^2 - a*b)/b^2)*polylog(4, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b))/(a^2 - a*b)","C",0
258,1,1247,0,1.921193," ","integrate(x^2/(a+b*sinh(x)^2),x, algorithm=""fricas"")","-\frac{b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b}\right) + b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b}\right) - b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b}\right) - b x^{2} \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b}\right) + 2 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b} + 1\right) + 2 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b} + 1\right) - 2 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b} + 1\right) - 2 \, b x \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b} + 1\right) - 2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) - 2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}}}{b}\right) + 2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right) + 2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}}}{b}\right)}{2 \, {\left(a^{2} - a b\right)}}"," ",0,"-1/2*(b*x^2*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b) + b*x^2*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b) - b*x^2*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b) - b*x^2*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b) + 2*b*x*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b + 1) + 2*b*x*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b + 1) - 2*b*x*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b + 1) - 2*b*x*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b + 1) - 2*b*sqrt((a^2 - a*b)/b^2)*polylog(3, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) - 2*b*sqrt((a^2 - a*b)/b^2)*polylog(3, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b)/b) + 2*b*sqrt((a^2 - a*b)/b^2)*polylog(3, ((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b) + 2*b*sqrt((a^2 - a*b)/b^2)*polylog(3, -((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b)/b))/(a^2 - a*b)","C",0
259,1,837,0,3.276154," ","integrate(x/(a+b*sinh(x)^2),x, algorithm=""fricas"")","-\frac{b x \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b}\right) + b x \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b}\right) - b x \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b}\right) - b x \sqrt{\frac{a^{2} - a b}{b^{2}}} \log\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b}\right) + b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} + b}{b} + 1\right) + b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{-\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} + 2 \, a - b}{b}} - b}{b} + 1\right) - b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} + b}{b} + 1\right) - b \sqrt{\frac{a^{2} - a b}{b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(2 \, a - b\right)} \cosh\left(x\right) + {\left(2 \, a - b\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{a^{2} - a b}{b^{2}}}\right)} \sqrt{\frac{2 \, b \sqrt{\frac{a^{2} - a b}{b^{2}}} - 2 \, a + b}{b}} - b}{b} + 1\right)}{2 \, {\left(a^{2} - a b\right)}}"," ",0,"-1/2*(b*x*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b) + b*x*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b) - b*x*sqrt((a^2 - a*b)/b^2)*log((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b) - b*x*sqrt((a^2 - a*b)/b^2)*log(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b) + b*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) + b)/b + 1) + b*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) - 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt(-(2*b*sqrt((a^2 - a*b)/b^2) + 2*a - b)/b) - b)/b + 1) - b*sqrt((a^2 - a*b)/b^2)*dilog(-(((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) + b)/b + 1) - b*sqrt((a^2 - a*b)/b^2)*dilog((((2*a - b)*cosh(x) + (2*a - b)*sinh(x) + 2*(b*cosh(x) + b*sinh(x))*sqrt((a^2 - a*b)/b^2))*sqrt((2*b*sqrt((a^2 - a*b)/b^2) - 2*a + b)/b) - b)/b + 1))/(a^2 - a*b)","B",0
260,1,67,0,1.077978," ","integrate(cosh(b*x+a)*(-2+sinh(b*x+a)^2)/x,x, algorithm=""fricas"")","\frac{1}{8} \, {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - \frac{9}{8} \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + \frac{1}{8} \, {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - \frac{9}{8} \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)"," ",0,"1/8*(Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 9/8*(Ei(b*x) + Ei(-b*x))*cosh(a) + 1/8*(Ei(3*b*x) - Ei(-3*b*x))*sinh(3*a) - 9/8*(Ei(b*x) - Ei(-b*x))*sinh(a)","A",0
261,0,0,0,1.451302," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{3}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
262,0,0,0,0.795580," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2/(a^2*x^2 - 1), x)","F",0
263,0,0,0,1.083759," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
264,0,0,0,1.985250," ","integrate(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} \sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
265,0,0,0,0.939560," ","integrate(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} \sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2), x)","F",0
266,1,44,0,0.809513," ","integrate(sinh(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} - 1}"," ",0,"(b*n*x*cosh(b*n*log(x) + b*log(c) + a) - x*sinh(b*n*log(x) + b*log(c) + a))/(b^2*n^2 - 1)","A",0
267,1,91,0,1.049621," ","integrate(sinh(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{4 \, b n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(4 \, b^{2} n^{2} - 1\right)} x}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}}"," ",0,"1/2*(4*b*n*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - x*cosh(b*n*log(x) + b*log(c) + a)^2 - x*sinh(b*n*log(x) + b*log(c) + a)^2 - (4*b^2*n^2 - 1)*x)/(4*b^2*n^2 - 1)","A",0
268,1,200,0,0.758387," ","integrate(sinh(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 9 \, {\left(b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(b^{2} n^{2} - 1\right)} x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(9 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 3 \, {\left({\left(b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(9 \, b^{2} n^{2} - 1\right)} x\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}}"," ",0,"1/4*(3*(b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 + 9*(b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 - (b^2*n^2 - 1)*x*sinh(b*n*log(x) + b*log(c) + a)^3 - 3*(9*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a) - 3*((b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 - (9*b^2*n^2 - 1)*x)*sinh(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 - 10*b^2*n^2 + 1)","A",0
269,1,294,0,2.891647," ","integrate(sinh(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","-\frac{{\left(4 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 16 \, {\left(4 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(4 \, b^{2} n^{2} - 1\right)} x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 4 \, {\left(16 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(3 \, {\left(4 \, b^{2} n^{2} - 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, {\left(16 \, b^{2} n^{2} - 1\right)} x\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 3 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} x - 16 \, {\left({\left(4 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(16 \, b^{3} n^{3} - b n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}}"," ",0,"-1/8*((4*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4 - 16*(4*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + (4*b^2*n^2 - 1)*x*sinh(b*n*log(x) + b*log(c) + a)^4 - 4*(16*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(3*(4*b^2*n^2 - 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 - 2*(16*b^2*n^2 - 1)*x)*sinh(b*n*log(x) + b*log(c) + a)^2 - 3*(64*b^4*n^4 - 20*b^2*n^2 + 1)*x - 16*((4*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 - (16*b^3*n^3 - b*n)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(64*b^4*n^4 - 20*b^2*n^2 + 1)","A",0
270,1,98,0,4.615013," ","integrate(x^m*sinh(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + b n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right) - {\left({\left(m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} - m^{2} - 2 \, m - 1}"," ",0,"(b*n*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + b*n*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)) - ((m + 1)*x*cosh(m*log(x)) + (m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a))/(b^2*n^2 - m^2 - 2*m - 1)","A",0
271,1,248,0,1.376513," ","integrate(x^m*sinh(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{{\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) + {\left(4 \, b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m^{2} + 2 \, m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 4 \, {\left({\left(b m + b\right)} n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(b m + b\right)} n x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left({\left(m^{2} + 2 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(4 \, b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)}{2 \, {\left(m^{3} - 4 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)}}"," ",0,"1/2*((m^2 + 2*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) + (4*b^2*n^2 - m^2 - 2*m - 1)*x*cosh(m*log(x)) + ((m^2 + 2*m + 1)*x*cosh(m*log(x)) + (m^2 + 2*m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 - 4*((b*m + b)*n*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (b*m + b)*n*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + ((m^2 + 2*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + (4*b^2*n^2 - m^2 - 2*m - 1)*x)*sinh(m*log(x)))/(m^3 - 4*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)","A",0
272,1,585,0,1.925977," ","integrate(x^m*sinh(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \cosh\left(m \log\left(x\right)\right) - 3 \, {\left(9 \, b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 9 \, {\left({\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left({\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) - {\left(m^{3} - 9 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{3} - {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(m^{3} - 9 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 3 \, {\left({\left(b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(9 \, b^{3} n^{3} - {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(m \log\left(x\right)\right)}{4 \, {\left(9 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 10 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)}}"," ",0,"1/4*(3*(b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3*cosh(m*log(x)) - 3*(9*b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + ((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(m*log(x)) + (m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^3 + 9*((b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 + 3*((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) - (m^3 - 9*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(m*log(x)) + ((m^3 - (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 - (m^3 - 9*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + 3*((b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 - (9*b^3*n^3 - (b*m^2 + 2*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(m*log(x)))/(9*b^4*n^4 + m^4 + 4*m^3 - 10*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)","B",0
273,1,1125,0,0.618299," ","integrate(x^m*sinh(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{{\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} \cosh\left(m \log\left(x\right)\right) - 4 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) + {\left({\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 16 \, {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(64 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 20 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + 2 \, {\left(3 \, {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \cosh\left(m \log\left(x\right)\right) - 2 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(m \log\left(x\right)\right) + {\left(3 \, {\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 16 \, {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \cosh\left(m \log\left(x\right)\right) - {\left(16 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \cosh\left(m \log\left(x\right)\right) + {\left({\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(16 \, {\left(b^{3} m + b^{3}\right)} n^{3} - {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(m \log\left(x\right)\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left({\left(m^{4} + 4 \, m^{3} - 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 4 \, {\left(m^{4} + 4 \, m^{3} - 16 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left(64 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} - 20 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x\right)} \sinh\left(m \log\left(x\right)\right)}{8 \, {\left(m^{5} + 64 \, {\left(b^{4} m + b^{4}\right)} n^{4} + 5 \, m^{4} + 10 \, m^{3} - 20 \, {\left(b^{2} m^{3} + 3 \, b^{2} m^{2} + 3 \, b^{2} m + b^{2}\right)} n^{2} + 10 \, m^{2} + 5 \, m + 1\right)}}"," ",0,"1/8*((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4*cosh(m*log(x)) - 4*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) + ((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + (m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^4 + 16*((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + (4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(64*b^4*n^4 + m^4 + 4*m^3 - 20*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + 2*(3*(m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2*cosh(m*log(x)) - 2*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(m*log(x)) + (3*(m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 - 2*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x)*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a)^2 + 16*((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3*cosh(m*log(x)) - (16*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)*cosh(m*log(x)) + ((4*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a)^3 - (16*(b^3*m + b^3)*n^3 - (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cosh(b*n*log(x) + b*log(c) + a))*sinh(m*log(x)))*sinh(b*n*log(x) + b*log(c) + a) + ((m^4 + 4*m^3 - 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^4 - 4*(m^4 + 4*m^3 - 16*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*(64*b^4*n^4 + m^4 + 4*m^3 - 20*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x)*sinh(m*log(x)))/(m^5 + 64*(b^4*m + b^4)*n^4 + 5*m^4 + 10*m^3 - 20*(b^2*m^3 + 3*b^2*m^2 + 3*b^2*m + b^2)*n^2 + 10*m^2 + 5*m + 1)","B",0
274,1,19,0,0.606424," ","integrate(sinh(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n}"," ",0,"cosh(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
275,1,40,0,2.130985," ","integrate(sinh(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","-\frac{b n \log\left(x\right) - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{2 \, b n}"," ",0,"-1/2*(b*n*log(x) - cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
276,1,65,0,1.410560," ","integrate(sinh(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 9 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{12 \, b n}"," ",0,"1/12*(cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 - 9*cosh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
277,1,84,0,0.718336," ","integrate(sinh(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \log\left(x\right) + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, b n}"," ",0,"1/8*(cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*log(x) + (cosh(b*n*log(x) + b*log(c) + a)^3 - 4*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
278,1,130,0,1.084687," ","integrate(sinh(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 15 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 25 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 15 \, {\left(2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 5 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 150 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{240 \, b n}"," ",0,"1/240*(3*cosh(b*n*log(x) + b*log(c) + a)^5 + 15*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^4 - 25*cosh(b*n*log(x) + b*log(c) + a)^3 + 15*(2*cosh(b*n*log(x) + b*log(c) + a)^3 - 5*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^2 + 150*cosh(b*n*log(x) + b*log(c) + a))/(b*n)","B",0
279,0,0,0,1.219221," ","integrate(sinh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(sinh(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
280,0,0,0,0.672580," ","integrate(sinh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(sinh(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
281,0,0,0,0.830206," ","integrate(sinh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\sinh\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(sinh(b*log(c*x^n) + a))/x, x)","F",0
282,0,0,0,0.490148," ","integrate(1/x/sinh(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\sinh\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(sinh(b*log(c*x^n) + a))), x)","F",0
283,0,0,0,0.711270," ","integrate(1/x/sinh(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*sinh(b*log(c*x^n) + a)^(3/2)), x)","F",0
284,0,0,0,0.748761," ","integrate(1/x/sinh(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*sinh(b*log(c*x^n) + a)^(5/2)), x)","F",0
285,1,162,0,1.049304," ","integrate(sinh(a+2*log(c*x^n)/n)^(5/2),x, algorithm=""fricas"")","\frac{{\left(15 \, \sqrt{2} x^{3} \arctan\left(\sqrt{2} \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}}\right) e^{\left(\frac{3 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{2 \, n}\right)} + 2 \, \sqrt{\frac{1}{2}} {\left(2 \, x^{8} e^{\left(\frac{4 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 14 \, x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 3\right)} \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}\right)} e^{\left(-\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)}}{96 \, x^{3}}"," ",0,"1/96*(15*sqrt(2)*x^3*arctan(sqrt(2)*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2))*e^(3/2*(a*n + 2*log(c))/n) + 2*sqrt(1/2)*(2*x^8*e^(4*(a*n + 2*log(c))/n) - 14*x^4*e^(2*(a*n + 2*log(c))/n) - 3)*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n))*e^(-2*(a*n + 2*log(c))/n)/x^3","A",0
286,1,117,0,1.399391," ","integrate(sinh(a+2*log(c*x^n)/n)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}} e^{\left(\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)} - \sqrt{2} \arctan\left(\sqrt{2} \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}}\right) e^{\left(\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}\right)} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{n}\right)}"," ",0,"1/4*(2*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2)*e^(1/2*(a*n + 2*log(c))/n) - sqrt(2)*arctan(sqrt(2)*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2))*e^(1/2*(a*n + 2*log(c))/n))*e^(-(a*n + 2*log(c))/n)","A",0
287,1,68,0,0.577208," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{1}{2}} x \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}}{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}"," ",0,"-2*sqrt(1/2)*x*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n)/(x^4*e^(2*(a*n + 2*log(c))/n) - 1)","A",0
288,1,128,0,0.554433," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(7/2),x, algorithm=""fricas"")","-\frac{8 \, \sqrt{\frac{1}{2}} {\left(5 \, x^{5} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 2 \, x\right)} \sqrt{\frac{x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1}{x^{2}}} e^{\left(-\frac{a n + 2 \, \log\left(c\right)}{2 \, n}\right)}}{15 \, {\left(x^{12} e^{\left(\frac{6 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 3 \, x^{8} e^{\left(\frac{4 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} + 3 \, x^{4} e^{\left(\frac{2 \, {\left(a n + 2 \, \log\left(c\right)\right)}}{n}\right)} - 1\right)}}"," ",0,"-8/15*sqrt(1/2)*(5*x^5*e^(2*(a*n + 2*log(c))/n) - 2*x)*sqrt((x^4*e^(2*(a*n + 2*log(c))/n) - 1)/x^2)*e^(-1/2*(a*n + 2*log(c))/n)/(x^12*e^(6*(a*n + 2*log(c))/n) - 3*x^8*e^(4*(a*n + 2*log(c))/n) + 3*x^4*e^(2*(a*n + 2*log(c))/n) - 1)","A",0
289,1,48,0,0.834088," ","integrate(sinh(a/(d*x+c)),x, algorithm=""fricas"")","-\frac{a {\rm Ei}\left(\frac{a}{d x + c}\right) + a {\rm Ei}\left(-\frac{a}{d x + c}\right) - 2 \, {\left(d x + c\right)} \sinh\left(\frac{a}{d x + c}\right)}{2 \, d}"," ",0,"-1/2*(a*Ei(a/(d*x + c)) + a*Ei(-a/(d*x + c)) - 2*(d*x + c)*sinh(a/(d*x + c)))/d","A",0
290,1,73,0,1.003964," ","integrate(sinh(a/(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(d x + c\right)} \cosh\left(\frac{a}{d x + c}\right)^{2} + {\left(d x + c\right)} \sinh\left(\frac{a}{d x + c}\right)^{2} - d x - a {\rm Ei}\left(\frac{2 \, a}{d x + c}\right) + a {\rm Ei}\left(-\frac{2 \, a}{d x + c}\right)}{2 \, d}"," ",0,"1/2*((d*x + c)*cosh(a/(d*x + c))^2 + (d*x + c)*sinh(a/(d*x + c))^2 - d*x - a*Ei(2*a/(d*x + c)) + a*Ei(-2*a/(d*x + c)))/d","A",0
291,1,118,0,1.138553," ","integrate(sinh(a/(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(d x + c\right)} \sinh\left(\frac{a}{d x + c}\right)^{3} - 3 \, a {\rm Ei}\left(\frac{3 \, a}{d x + c}\right) + 3 \, a {\rm Ei}\left(\frac{a}{d x + c}\right) + 3 \, a {\rm Ei}\left(-\frac{a}{d x + c}\right) - 3 \, a {\rm Ei}\left(-\frac{3 \, a}{d x + c}\right) + 6 \, {\left({\left(d x + c\right)} \cosh\left(\frac{a}{d x + c}\right)^{2} - d x - c\right)} \sinh\left(\frac{a}{d x + c}\right)}{8 \, d}"," ",0,"1/8*(2*(d*x + c)*sinh(a/(d*x + c))^3 - 3*a*Ei(3*a/(d*x + c)) + 3*a*Ei(a/(d*x + c)) + 3*a*Ei(-a/(d*x + c)) - 3*a*Ei(-3*a/(d*x + c)) + 6*((d*x + c)*cosh(a/(d*x + c))^2 - d*x - c)*sinh(a/(d*x + c)))/d","B",0
292,1,253,0,1.121432," ","integrate(sinh(b*x/(d*x+c)),x, algorithm=""fricas"")","-\frac{b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b}{d}\right) \sinh\left(\frac{b x}{d x + c}\right)^{2} - {\left(b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} + b c {\rm Ei}\left(\frac{b c}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{b}{d}\right) - 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{b x}{d x + c}\right) - {\left(b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} - b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \sinh\left(\frac{b x}{d x + c}\right)^{2} - b c {\rm Ei}\left(\frac{b c}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{b}{d}\right)}{2 \, {\left(d^{2} \cosh\left(\frac{b x}{d x + c}\right)^{2} - d^{2} \sinh\left(\frac{b x}{d x + c}\right)^{2}\right)}}"," ",0,"-1/2*(b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b/d)*sinh(b*x/(d*x + c))^2 - (b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2 + b*c*Ei(b*c/(d^2*x + c*d)))*cosh(b/d) - 2*(d^2*x + c*d)*sinh(b*x/(d*x + c)) - (b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2 - b*c*Ei(-b*c/(d^2*x + c*d))*sinh(b*x/(d*x + c))^2 - b*c*Ei(b*c/(d^2*x + c*d)))*sinh(b/d))/(d^2*cosh(b*x/(d*x + c))^2 - d^2*sinh(b*x/(d*x + c))^2)","B",0
293,1,277,0,0.494347," ","integrate(sinh(b*x/(d*x+c))^2,x, algorithm=""fricas"")","-\frac{d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x}{d x + c}\right)^{2} + {\left(b c {\rm Ei}\left(-\frac{2 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{2 \, b}{d}\right) - d^{2} x - c d\right)} \sinh\left(\frac{b x}{d x + c}\right)^{2} - {\left(b c {\rm Ei}\left(-\frac{2 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} - b c {\rm Ei}\left(\frac{2 \, b c}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{2 \, b}{d}\right) - {\left(b c {\rm Ei}\left(-\frac{2 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} - b c {\rm Ei}\left(-\frac{2 \, b c}{d^{2} x + c d}\right) \sinh\left(\frac{b x}{d x + c}\right)^{2} + b c {\rm Ei}\left(\frac{2 \, b c}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{2 \, b}{d}\right)}{2 \, {\left(d^{2} \cosh\left(\frac{b x}{d x + c}\right)^{2} - d^{2} \sinh\left(\frac{b x}{d x + c}\right)^{2}\right)}}"," ",0,"-1/2*(d^2*x - (d^2*x + c*d)*cosh(b*x/(d*x + c))^2 + (b*c*Ei(-2*b*c/(d^2*x + c*d))*cosh(2*b/d) - d^2*x - c*d)*sinh(b*x/(d*x + c))^2 - (b*c*Ei(-2*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2 - b*c*Ei(2*b*c/(d^2*x + c*d)))*cosh(2*b/d) - (b*c*Ei(-2*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2 - b*c*Ei(-2*b*c/(d^2*x + c*d))*sinh(b*x/(d*x + c))^2 + b*c*Ei(2*b*c/(d^2*x + c*d)))*sinh(2*b/d))/(d^2*cosh(b*x/(d*x + c))^2 - d^2*sinh(b*x/(d*x + c))^2)","B",0
294,1,701,0,0.629515," ","integrate(sinh(b*x/(d*x+c))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{3 \, b}{d}\right) - b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b}{d}\right)\right)} \sinh\left(\frac{b x}{d x + c}\right)^{4} + 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{b x}{d x + c}\right)^{3} - 6 \, {\left(b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} \cosh\left(\frac{3 \, b}{d}\right) - b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} \cosh\left(\frac{b}{d}\right)\right)} \sinh\left(\frac{b x}{d x + c}\right)^{2} + 3 \, {\left(b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{4} + b c {\rm Ei}\left(\frac{3 \, b c}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{3 \, b}{d}\right) - 3 \, {\left(b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{4} + b c {\rm Ei}\left(\frac{b c}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{b}{d}\right) - 6 \, {\left(d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x}{d x + c}\right)^{2} + c d\right)} \sinh\left(\frac{b x}{d x + c}\right) + 3 \, {\left(b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{4} - 2 \, b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} \sinh\left(\frac{b x}{d x + c}\right)^{2} + b c {\rm Ei}\left(-\frac{3 \, b c}{d^{2} x + c d}\right) \sinh\left(\frac{b x}{d x + c}\right)^{4} - b c {\rm Ei}\left(\frac{3 \, b c}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{3 \, b}{d}\right) - 3 \, {\left(b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{4} - 2 \, b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \cosh\left(\frac{b x}{d x + c}\right)^{2} \sinh\left(\frac{b x}{d x + c}\right)^{2} + b c {\rm Ei}\left(-\frac{b c}{d^{2} x + c d}\right) \sinh\left(\frac{b x}{d x + c}\right)^{4} - b c {\rm Ei}\left(\frac{b c}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{b}{d}\right)}{8 \, {\left(d^{2} \cosh\left(\frac{b x}{d x + c}\right)^{4} - 2 \, d^{2} \cosh\left(\frac{b x}{d x + c}\right)^{2} \sinh\left(\frac{b x}{d x + c}\right)^{2} + d^{2} \sinh\left(\frac{b x}{d x + c}\right)^{4}\right)}}"," ",0,"1/8*(3*(b*c*Ei(-3*b*c/(d^2*x + c*d))*cosh(3*b/d) - b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b/d))*sinh(b*x/(d*x + c))^4 + 2*(d^2*x + c*d)*sinh(b*x/(d*x + c))^3 - 6*(b*c*Ei(-3*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2*cosh(3*b/d) - b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2*cosh(b/d))*sinh(b*x/(d*x + c))^2 + 3*(b*c*Ei(-3*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^4 + b*c*Ei(3*b*c/(d^2*x + c*d)))*cosh(3*b/d) - 3*(b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^4 + b*c*Ei(b*c/(d^2*x + c*d)))*cosh(b/d) - 6*(d^2*x - (d^2*x + c*d)*cosh(b*x/(d*x + c))^2 + c*d)*sinh(b*x/(d*x + c)) + 3*(b*c*Ei(-3*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^4 - 2*b*c*Ei(-3*b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2*sinh(b*x/(d*x + c))^2 + b*c*Ei(-3*b*c/(d^2*x + c*d))*sinh(b*x/(d*x + c))^4 - b*c*Ei(3*b*c/(d^2*x + c*d)))*sinh(3*b/d) - 3*(b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^4 - 2*b*c*Ei(-b*c/(d^2*x + c*d))*cosh(b*x/(d*x + c))^2*sinh(b*x/(d*x + c))^2 + b*c*Ei(-b*c/(d^2*x + c*d))*sinh(b*x/(d*x + c))^4 - b*c*Ei(b*c/(d^2*x + c*d)))*sinh(b/d))/(d^2*cosh(b*x/(d*x + c))^4 - 2*d^2*cosh(b*x/(d*x + c))^2*sinh(b*x/(d*x + c))^2 + d^2*sinh(b*x/(d*x + c))^4)","B",0
295,1,171,0,0.433648," ","integrate(sinh((b*x+a)/(d*x+c)),x, algorithm=""fricas"")","\frac{{\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) + {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{b}{d}\right) + 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{b x + a}{d x + c}\right) - {\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{b}{d}\right)}{2 \, d^{2}}"," ",0,"1/2*(((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) + (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*cosh(b/d) + 2*(d^2*x + c*d)*sinh((b*x + a)/(d*x + c)) - ((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) - (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*sinh(b/d))/d^2","A",0
296,1,370,0,3.329443," ","integrate(sinh((b*x+a)/(d*x+c))^2,x, algorithm=""fricas"")","-\frac{d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left(d^{2} x - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{2 \, b}{d}\right) + c d\right)} \sinh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left(b c - a d\right)} {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{2 \, b}{d}\right) - {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \sinh\left(\frac{b x + a}{d x + c}\right)^{2} + {\left(b c - a d\right)} {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{2 \, b}{d}\right)}{2 \, {\left(d^{2} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} - d^{2} \sinh\left(\frac{b x + a}{d x + c}\right)^{2}\right)}}"," ",0,"-1/2*(d^2*x - (d^2*x + c*d)*cosh((b*x + a)/(d*x + c))^2 - (d^2*x - (b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh(2*b/d) + c*d)*sinh((b*x + a)/(d*x + c))^2 - ((b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2 - (b*c - a*d)*Ei(2*(b*c - a*d)/(d^2*x + c*d)))*cosh(2*b/d) - ((b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2 - (b*c - a*d)*Ei(-2*(b*c - a*d)/(d^2*x + c*d))*sinh((b*x + a)/(d*x + c))^2 + (b*c - a*d)*Ei(2*(b*c - a*d)/(d^2*x + c*d)))*sinh(2*b/d))/(d^2*cosh((b*x + a)/(d*x + c))^2 - d^2*sinh((b*x + a)/(d*x + c))^2)","B",0
297,1,717,0,1.331602," ","integrate(sinh((b*x+a)/(d*x+c))^3,x, algorithm=""fricas"")","-\frac{6 \, {\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} \cosh\left(\frac{3 \, b}{d}\right) \sinh\left(\frac{b x + a}{d x + c}\right)^{2} - 3 \, {\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{3 \, b}{d}\right) \sinh\left(\frac{b x + a}{d x + c}\right)^{4} - 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{b x + a}{d x + c}\right)^{3} - 3 \, {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{4} + {\left(b c - a d\right)} {\rm Ei}\left(\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{3 \, b}{d}\right) + 3 \, {\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) + {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{b}{d}\right) + 6 \, {\left(d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} + c d\right)} \sinh\left(\frac{b x + a}{d x + c}\right) - 3 \, {\left({\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{4} - 2 \, {\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \cosh\left(\frac{b x + a}{d x + c}\right)^{2} \sinh\left(\frac{b x + a}{d x + c}\right)^{2} + {\left(b c - a d\right)} {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right) \sinh\left(\frac{b x + a}{d x + c}\right)^{4} - {\left(b c - a d\right)} {\rm Ei}\left(\frac{3 \, {\left(b c - a d\right)}}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{3 \, b}{d}\right) - 3 \, {\left({\left(b c - a d\right)} {\rm Ei}\left(\frac{b c - a d}{d^{2} x + c d}\right) - {\left(b c - a d\right)} {\rm Ei}\left(-\frac{b c - a d}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{b}{d}\right)}{8 \, {\left(d^{2} \cosh\left(\frac{b x + a}{d x + c}\right)^{4} - 2 \, d^{2} \cosh\left(\frac{b x + a}{d x + c}\right)^{2} \sinh\left(\frac{b x + a}{d x + c}\right)^{2} + d^{2} \sinh\left(\frac{b x + a}{d x + c}\right)^{4}\right)}}"," ",0,"-1/8*(6*(b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2*cosh(3*b/d)*sinh((b*x + a)/(d*x + c))^2 - 3*(b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*cosh(3*b/d)*sinh((b*x + a)/(d*x + c))^4 - 2*(d^2*x + c*d)*sinh((b*x + a)/(d*x + c))^3 - 3*((b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^4 + (b*c - a*d)*Ei(3*(b*c - a*d)/(d^2*x + c*d)))*cosh(3*b/d) + 3*((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) + (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*cosh(b/d) + 6*(d^2*x - (d^2*x + c*d)*cosh((b*x + a)/(d*x + c))^2 + c*d)*sinh((b*x + a)/(d*x + c)) - 3*((b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^4 - 2*(b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*cosh((b*x + a)/(d*x + c))^2*sinh((b*x + a)/(d*x + c))^2 + (b*c - a*d)*Ei(-3*(b*c - a*d)/(d^2*x + c*d))*sinh((b*x + a)/(d*x + c))^4 - (b*c - a*d)*Ei(3*(b*c - a*d)/(d^2*x + c*d)))*sinh(3*b/d) - 3*((b*c - a*d)*Ei((b*c - a*d)/(d^2*x + c*d)) - (b*c - a*d)*Ei(-(b*c - a*d)/(d^2*x + c*d)))*sinh(b/d))/(d^2*cosh((b*x + a)/(d*x + c))^4 - 2*d^2*cosh((b*x + a)/(d*x + c))^2*sinh((b*x + a)/(d*x + c))^2 + d^2*sinh((b*x + a)/(d*x + c))^4)","B",0
298,1,202,0,1.609174," ","integrate(sinh(e+f*(b*x+a)/(d*x+c)),x, algorithm=""fricas"")","\frac{{\left({\left(b c - a d\right)} f {\rm Ei}\left(\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right) + {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{d e + b f}{d}\right) + 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right) - {\left({\left(b c - a d\right)} f {\rm Ei}\left(\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right) - {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{d e + b f}{d}\right)}{2 \, d^{2}}"," ",0,"1/2*(((b*c - a*d)*f*Ei((b*c - a*d)*f/(d^2*x + c*d)) + (b*c - a*d)*f*Ei(-(b*c - a*d)*f/(d^2*x + c*d)))*cosh((d*e + b*f)/d) + 2*(d^2*x + c*d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c)) - ((b*c - a*d)*f*Ei((b*c - a*d)*f/(d^2*x + c*d)) - (b*c - a*d)*f*Ei(-(b*c - a*d)*f/(d^2*x + c*d)))*sinh((d*e + b*f)/d))/d^2","A",0
299,1,477,0,1.653890," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^2,x, algorithm=""fricas"")","-\frac{d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} + {\left({\left(b c - a d\right)} f {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{2 \, {\left(d e + b f\right)}}{d}\right) - d^{2} x - c d\right)} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} - {\left({\left(b c - a d\right)} f {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} - {\left(b c - a d\right)} f {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{2 \, {\left(d e + b f\right)}}{d}\right) - {\left({\left(b c - a d\right)} f {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} - {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} + {\left(b c - a d\right)} f {\rm Ei}\left(\frac{2 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{2 \, {\left(d e + b f\right)}}{d}\right)}{2 \, {\left(d^{2} \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} - d^{2} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2}\right)}}"," ",0,"-1/2*(d^2*x - (d^2*x + c*d)*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 + ((b*c - a*d)*f*Ei(-2*(b*c - a*d)*f/(d^2*x + c*d))*cosh(2*(d*e + b*f)/d) - d^2*x - c*d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 - ((b*c - a*d)*f*Ei(-2*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 - (b*c - a*d)*f*Ei(2*(b*c - a*d)*f/(d^2*x + c*d)))*cosh(2*(d*e + b*f)/d) - ((b*c - a*d)*f*Ei(-2*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 - (b*c - a*d)*f*Ei(-2*(b*c - a*d)*f/(d^2*x + c*d))*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 + (b*c - a*d)*f*Ei(2*(b*c - a*d)*f/(d^2*x + c*d)))*sinh(2*(d*e + b*f)/d))/(d^2*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 - d^2*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2)","B",0
300,1,942,0,1.953274," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^3,x, algorithm=""fricas"")","-\frac{6 \, {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} \cosh\left(\frac{3 \, {\left(d e + b f\right)}}{d}\right) \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} - 3 \, {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{3 \, {\left(d e + b f\right)}}{d}\right) \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4} - 2 \, {\left(d^{2} x + c d\right)} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{3} - 3 \, {\left({\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4} + {\left(b c - a d\right)} f {\rm Ei}\left(\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{3 \, {\left(d e + b f\right)}}{d}\right) + 3 \, {\left({\left(b c - a d\right)} f {\rm Ei}\left(\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right) + {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \cosh\left(\frac{d e + b f}{d}\right) + 6 \, {\left(d^{2} x - {\left(d^{2} x + c d\right)} \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} + c d\right)} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right) - 3 \, {\left({\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4} - 2 \, {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} + {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right) \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4} - {\left(b c - a d\right)} f {\rm Ei}\left(\frac{3 \, {\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{3 \, {\left(d e + b f\right)}}{d}\right) - 3 \, {\left({\left(b c - a d\right)} f {\rm Ei}\left(\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right) - {\left(b c - a d\right)} f {\rm Ei}\left(-\frac{{\left(b c - a d\right)} f}{d^{2} x + c d}\right)\right)} \sinh\left(\frac{d e + b f}{d}\right)}{8 \, {\left(d^{2} \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4} - 2 \, d^{2} \cosh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{2} + d^{2} \sinh\left(\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}\right)^{4}\right)}}"," ",0,"-1/8*(6*(b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2*cosh(3*(d*e + b*f)/d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 - 3*(b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*cosh(3*(d*e + b*f)/d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4 - 2*(d^2*x + c*d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^3 - 3*((b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4 + (b*c - a*d)*f*Ei(3*(b*c - a*d)*f/(d^2*x + c*d)))*cosh(3*(d*e + b*f)/d) + 3*((b*c - a*d)*f*Ei((b*c - a*d)*f/(d^2*x + c*d)) + (b*c - a*d)*f*Ei(-(b*c - a*d)*f/(d^2*x + c*d)))*cosh((d*e + b*f)/d) + 6*(d^2*x - (d^2*x + c*d)*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 + c*d)*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c)) - 3*((b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4 - 2*(b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 + (b*c - a*d)*f*Ei(-3*(b*c - a*d)*f/(d^2*x + c*d))*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4 - (b*c - a*d)*f*Ei(3*(b*c - a*d)*f/(d^2*x + c*d)))*sinh(3*(d*e + b*f)/d) - 3*((b*c - a*d)*f*Ei((b*c - a*d)*f/(d^2*x + c*d)) - (b*c - a*d)*f*Ei(-(b*c - a*d)*f/(d^2*x + c*d)))*sinh((d*e + b*f)/d))/(d^2*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4 - 2*d^2*cosh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^2 + d^2*sinh((c*e + a*f + (d*e + b*f)*x)/(d*x + c))^4)","B",0
301,1,113,0,0.773585," ","integrate(exp(b*x+a)*sinh(b*x+a)^4,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{4} - 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 10\right)} \sinh\left(b x + a\right)^{2} - 20 \, \cosh\left(b x + a\right)^{2} - 16 \, {\left(\cosh\left(b x + a\right)^{3} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 45}{120 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/120*(cosh(b*x + a)^4 - 16*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 10)*sinh(b*x + a)^2 - 20*cosh(b*x + a)^2 - 16*(cosh(b*x + a)^3 - 5*cosh(b*x + a))*sinh(b*x + a) - 45)/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
302,1,95,0,0.646536," ","integrate(exp(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - \sinh\left(b x + a\right)^{3} + 6 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) - 3 \, {\left(4 \, b x + \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)}{32 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/32*(3*cosh(b*x + a)^3 + 9*cosh(b*x + a)*sinh(b*x + a)^2 - sinh(b*x + a)^3 + 6*(2*b*x - 1)*cosh(b*x + a) - 3*(4*b*x + cosh(b*x + a)^2 + 2)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
303,1,54,0,0.804322," ","integrate(exp(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 3}{6 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/6*(cosh(b*x + a)^2 - 4*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 3)/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
304,1,50,0,4.003416," ","integrate(exp(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) - {\left(2 \, b x + 1\right)} \sinh\left(b x + a\right)}{4 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/4*((2*b*x - 1)*cosh(b*x + a) - (2*b*x + 1)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
305,1,30,0,2.028920," ","integrate(exp(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b}"," ",0,"log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a)))/b","A",0
306,1,157,0,0.852452," ","integrate(exp(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left(\cosh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, \cosh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2} - b}"," ",0,"-((cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*cosh(b*x + a) + 2*sinh(b*x + a))/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2 - b)","B",0
307,1,88,0,0.541967," ","integrate(exp(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + 3 \, \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right) + 3 \, {\left(b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(cosh(b*x + a) + 3*sinh(b*x + a))/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3 - b*cosh(b*x + a) + 3*(b*cosh(b*x + a)^2 - b)*sinh(b*x + a))","B",0
308,1,705,0,2.047142," ","integrate(exp(b*x+a)*csch(b*x+a)^4,x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(b x + a\right)^{5} + 30 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 6 \, \sinh\left(b x + a\right)^{5} + 4 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 4\right)} \sinh\left(b x + a\right)^{3} + 16 \, \cosh\left(b x + a\right)^{3} + 12 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{6} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 3 \, \cosh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{5} - 2 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 3 \, {\left(\cosh\left(b x + a\right)^{6} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 3 \, \cosh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{5} - 2 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 8 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - 6 \, \cosh\left(b x + a\right)}{6 \, {\left(b \cosh\left(b x + a\right)^{6} + 6 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b \sinh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{4} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{4} - 6 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 6 \, {\left(b \cosh\left(b x + a\right)^{5} - 2 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - b\right)}}"," ",0,"-1/6*(6*cosh(b*x + a)^5 + 30*cosh(b*x + a)*sinh(b*x + a)^4 + 6*sinh(b*x + a)^5 + 4*(15*cosh(b*x + a)^2 + 4)*sinh(b*x + a)^3 + 16*cosh(b*x + a)^3 + 12*(5*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a)^2 - 3*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 3*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 3*(5*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 3*cosh(b*x + a)^2 + 6*(cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 3*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 3*(5*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 3*cosh(b*x + a)^2 + 6*(cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 6*(5*cosh(b*x + a)^4 + 8*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - 6*cosh(b*x + a))/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 - 3*b*cosh(b*x + a)^4 + 3*(5*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^3 + 3*b*cosh(b*x + a)^2 + 3*(5*b*cosh(b*x + a)^4 - 6*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 6*(b*cosh(b*x + a)^5 - 2*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) - b)","B",0
309,1,233,0,2.728429," ","integrate(exp(b*x+a)*csch(b*x+a)^5,x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 7 \, \sinh\left(b x + a\right)^{2} - 4\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{6} + 6 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b \sinh\left(b x + a\right)^{6} - 4 \, b \cosh\left(b x + a\right)^{4} + {\left(15 \, b \cosh\left(b x + a\right)^{2} - 4 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} - 4 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 7 \, b \cosh\left(b x + a\right)^{2} + {\left(15 \, b \cosh\left(b x + a\right)^{4} - 24 \, b \cosh\left(b x + a\right)^{2} + 7 \, b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{5} - 8 \, b \cosh\left(b x + a\right)^{3} + 5 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 4 \, b\right)}}"," ",0,"-4/3*(7*cosh(b*x + a)^2 + 10*cosh(b*x + a)*sinh(b*x + a) + 7*sinh(b*x + a)^2 - 4)/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 - 4*b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 - 4*b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 - 4*b*cosh(b*x + a))*sinh(b*x + a)^3 + 7*b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 - 24*b*cosh(b*x + a)^2 + 7*b)*sinh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^5 - 8*b*cosh(b*x + a)^3 + 5*b*cosh(b*x + a))*sinh(b*x + a) - 4*b)","B",0
310,1,47,0,0.653696," ","integrate(exp(x)*sinh(2*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{4} - 16 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} - 16 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 15}{30 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/30*(cosh(x)^4 - 16*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 - 16*cosh(x)*sinh(x)^3 + sinh(x)^4 + 15)/(cosh(x) - sinh(x))","B",0
311,1,26,0,0.590621," ","integrate(exp(x)*sinh(2*x),x, algorithm=""fricas"")","\frac{2 \, {\left(\cosh\left(x\right)^{2} - \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"2/3*(cosh(x)^2 - cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) - sinh(x))","A",0
312,1,25,0,0.759224," ","integrate(exp(x)*csch(2*x),x, algorithm=""fricas"")","\arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - \frac{1}{2} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \frac{1}{2} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"arctan(cosh(x) + sinh(x)) - 1/2*log(cosh(x) + sinh(x) + 1) + 1/2*log(cosh(x) + sinh(x) - 1)","B",0
313,1,182,0,2.302464," ","integrate(exp(x)*csch(2*x)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 4 \, \cosh\left(x\right) + 4 \, \sinh\left(x\right)}{4 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)}}"," ",0,"-1/4*(2*(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*arctan(cosh(x) + sinh(x)) + (cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*log(cosh(x) + sinh(x) - 1) + 4*cosh(x) + 4*sinh(x))/(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)","B",0
314,1,67,0,3.422475," ","integrate(exp(x)*sinh(3*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{6} - 36 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} - 120 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} - 36 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 35}{70 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/70*(cosh(x)^6 - 36*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 - 120*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 - 36*cosh(x)*sinh(x)^5 + sinh(x)^6 + 35)/(cosh(x) - sinh(x))","B",0
315,1,40,0,1.433786," ","integrate(exp(x)*sinh(3*x),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 9 \, \cosh\left(x\right) \sinh\left(x\right)^{2} - \sinh\left(x\right)^{3}}{8 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"1/8*(3*cosh(x)^3 - 3*cosh(x)^2*sinh(x) + 9*cosh(x)*sinh(x)^2 - sinh(x)^3)/(cosh(x) - sinh(x))","B",0
316,1,83,0,1.089833," ","integrate(exp(x)*csch(3*x),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{3 \, \sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - \frac{1}{6} \, \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} + 1}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right) + \frac{1}{3} \, \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*(3*sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) - 1/6*log((2*cosh(x)^2 + 2*sinh(x)^2 + 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + 1/3*log(2*sinh(x)/(cosh(x) - sinh(x)))","A",0
317,1,560,0,0.854556," ","integrate(exp(x)*csch(3*x)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(x\right)^{6} + 6 \, \sqrt{3} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \sqrt{3} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \sqrt{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \sqrt{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{3} \sinh\left(x\right)^{6} - \sqrt{3}\right)} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) + \frac{1}{3} \, \sqrt{3}\right) + 2 \, {\left(\sqrt{3} \cosh\left(x\right)^{6} + 6 \, \sqrt{3} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \sqrt{3} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \sqrt{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \sqrt{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{3} \sinh\left(x\right)^{6} - \sqrt{3}\right)} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) - \frac{1}{3} \, \sqrt{3}\right) + {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\frac{2 \, \cosh\left(x\right) - 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 12 \, \cosh\left(x\right) + 12 \, \sinh\left(x\right)}{18 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)}}"," ",0,"-1/18*(2*(sqrt(3)*cosh(x)^6 + 6*sqrt(3)*cosh(x)^5*sinh(x) + 15*sqrt(3)*cosh(x)^4*sinh(x)^2 + 20*sqrt(3)*cosh(x)^3*sinh(x)^3 + 15*sqrt(3)*cosh(x)^2*sinh(x)^4 + 6*sqrt(3)*cosh(x)*sinh(x)^5 + sqrt(3)*sinh(x)^6 - sqrt(3))*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) + 1/3*sqrt(3)) + 2*(sqrt(3)*cosh(x)^6 + 6*sqrt(3)*cosh(x)^5*sinh(x) + 15*sqrt(3)*cosh(x)^4*sinh(x)^2 + 20*sqrt(3)*cosh(x)^3*sinh(x)^3 + 15*sqrt(3)*cosh(x)^2*sinh(x)^4 + 6*sqrt(3)*cosh(x)*sinh(x)^5 + sqrt(3)*sinh(x)^6 - sqrt(3))*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) - 1/3*sqrt(3)) + (cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) - (cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) + 2*(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log(cosh(x) + sinh(x) + 1) - 2*(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log(cosh(x) + sinh(x) - 1) + 12*cosh(x) + 12*sinh(x))/(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)","B",0
318,1,87,0,1.396130," ","integrate(exp(x)*sinh(4*x)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{8} - 64 \, \cosh\left(x\right)^{7} \sinh\left(x\right) + 28 \, \cosh\left(x\right)^{6} \sinh\left(x\right)^{2} - 448 \, \cosh\left(x\right)^{5} \sinh\left(x\right)^{3} + 70 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{4} - 448 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} - 64 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 63}{126 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/126*(cosh(x)^8 - 64*cosh(x)^7*sinh(x) + 28*cosh(x)^6*sinh(x)^2 - 448*cosh(x)^5*sinh(x)^3 + 70*cosh(x)^4*sinh(x)^4 - 448*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 - 64*cosh(x)*sinh(x)^7 + sinh(x)^8 + 63)/(cosh(x) - sinh(x))","B",0
319,1,46,0,1.368425," ","integrate(exp(x)*sinh(4*x),x, algorithm=""fricas"")","\frac{4 \, {\left(\cosh\left(x\right)^{4} - \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} - \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4}\right)}}{15 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"4/15*(cosh(x)^4 - cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 - cosh(x)*sinh(x)^3 + sinh(x)^4)/(cosh(x) - sinh(x))","B",0
320,1,132,0,1.331750," ","integrate(exp(x)*csch(4*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{8} \, \sqrt{2} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{2} \, \arctan\left(e^{x}\right) - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*sqrt(2)*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) - 1/2*sqrt(2)*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) + 1/8*sqrt(2)*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 1/8*sqrt(2)*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(e^x - 1)","A",0
321,1,207,0,2.978389," ","integrate(exp(x)*csch(4*x)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) + 4 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - 4 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \arctan\left(e^{x}\right) - {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - 2 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \log\left(e^{x} + 1\right) + 2 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \log\left(e^{x} - 1\right) - 16 \, e^{x}}{32 \, {\left(e^{\left(8 \, x\right)} - 1\right)}}"," ",0,"1/32*(4*(sqrt(2)*e^(8*x) - sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 4*(sqrt(2)*e^(8*x) - sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 4*(e^(8*x) - 1)*arctan(e^x) - (sqrt(2)*e^(8*x) - sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*e^(8*x) - sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 2*(e^(8*x) - 1)*log(e^x + 1) + 2*(e^(8*x) - 1)*log(e^x - 1) - 16*e^x)/(e^(8*x) - 1)","B",0
322,1,2228,0,1.005869," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^3,x, algorithm=""fricas"")","\frac{{\left(3 \, e^{3} \cosh\left(e x + d\right)^{6} - 27 \, e^{3} \cosh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \log\left(F\right)^{2} - b c e^{2} \log\left(F\right) + 3 \, e^{3}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \cosh\left(e x + d\right) \log\left(F\right)^{2} - b c e^{2} \cosh\left(e x + d\right) \log\left(F\right) + 3 \, e^{3} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} - 27 \, e^{3} \cosh\left(e x + d\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} - b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{2} - 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{6} - 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} - b^{3} c^{3}\right)} \log\left(F\right)^{3} + 4 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{3} - 27 \, e^{3} \cosh\left(e x + d\right) + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} - 3 \, b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - 3 \, {\left(5 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{3} - 27 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + 3 \, e^{3} - 3 \, {\left(b^{2} c^{2} e \cosh\left(e x + d\right)^{6} - b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - b^{2} c^{2} e \cosh\left(e x + d\right)^{2} + b^{2} c^{2} e\right)} \log\left(F\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{4} - 54 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} - 6 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - 6 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{4} - 54 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{6} - 27 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{2} - b c e^{2}\right)} \log\left(F\right) + 6 \, {\left(3 \, e^{3} \cosh\left(e x + d\right)^{5} - 18 \, e^{3} \cosh\left(e x + d\right)^{3} - 9 \, e^{3} \cosh\left(e x + d\right) + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{5} - 2 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(3 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{5} - 2 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{5} - 18 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 9 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left(3 \, e^{3} \cosh\left(e x + d\right)^{6} - 27 \, e^{3} \cosh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \log\left(F\right)^{2} - b c e^{2} \log\left(F\right) + 3 \, e^{3}\right)} \sinh\left(e x + d\right)^{6} + 6 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 3 \, b^{2} c^{2} e \cosh\left(e x + d\right) \log\left(F\right)^{2} - b c e^{2} \cosh\left(e x + d\right) \log\left(F\right) + 3 \, e^{3} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{5} - 27 \, e^{3} \cosh\left(e x + d\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} - b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{2} - 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{6} - 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} + 3 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} - b^{3} c^{3}\right)} \log\left(F\right)^{3} + 4 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{3} - 27 \, e^{3} \cosh\left(e x + d\right) + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} - 3 \, b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - 3 \, {\left(5 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{3} - 27 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + 3 \, e^{3} - 3 \, {\left(b^{2} c^{2} e \cosh\left(e x + d\right)^{6} - b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - b^{2} c^{2} e \cosh\left(e x + d\right)^{2} + b^{2} c^{2} e\right)} \log\left(F\right)^{2} + 3 \, {\left(15 \, e^{3} \cosh\left(e x + d\right)^{4} - 54 \, e^{3} \cosh\left(e x + d\right)^{2} + {\left(5 \, b^{3} c^{3} \cosh\left(e x + d\right)^{4} - 6 \, b^{3} c^{3} \cosh\left(e x + d\right)^{2} + b^{3} c^{3}\right)} \log\left(F\right)^{3} - 9 \, e^{3} - {\left(15 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{4} - 6 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{2} - b^{2} c^{2} e\right)} \log\left(F\right)^{2} - {\left(5 \, b c e^{2} \cosh\left(e x + d\right)^{4} - 54 \, b c e^{2} \cosh\left(e x + d\right)^{2} + 9 \, b c e^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{6} - 27 \, b c e^{2} \cosh\left(e x + d\right)^{4} + 27 \, b c e^{2} \cosh\left(e x + d\right)^{2} - b c e^{2}\right)} \log\left(F\right) + 6 \, {\left(3 \, e^{3} \cosh\left(e x + d\right)^{5} - 18 \, e^{3} \cosh\left(e x + d\right)^{3} - 9 \, e^{3} \cosh\left(e x + d\right) + {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{5} - 2 \, b^{3} c^{3} \cosh\left(e x + d\right)^{3} + b^{3} c^{3} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(3 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{5} - 2 \, b^{2} c^{2} e \cosh\left(e x + d\right)^{3} - b^{2} c^{2} e \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2} - {\left(b c e^{2} \cosh\left(e x + d\right)^{5} - 18 \, b c e^{2} \cosh\left(e x + d\right)^{3} + 9 \, b c e^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{8 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right)^{3} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right)^{3} \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)^{3} + {\left(b^{4} c^{4} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 9 \, e^{4}\right)} \sinh\left(e x + d\right)^{3} + 3 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right) \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right)^{2} + 3 \, {\left(b^{4} c^{4} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{4} - 10 \, b^{2} c^{2} e^{2} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{2} + 9 \, e^{4} \cosh\left(e x + d\right)^{2}\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/8*((3*e^3*cosh(e*x + d)^6 - 27*e^3*cosh(e*x + d)^4 + (b^3*c^3*log(F)^3 - 3*b^2*c^2*e*log(F)^2 - b*c*e^2*log(F) + 3*e^3)*sinh(e*x + d)^6 + 6*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 3*b^2*c^2*e*cosh(e*x + d)*log(F)^2 - b*c*e^2*cosh(e*x + d)*log(F) + 3*e^3*cosh(e*x + d))*sinh(e*x + d)^5 - 27*e^3*cosh(e*x + d)^2 + 3*(15*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^2 - b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^2 - 9*b*c*e^2)*log(F))*sinh(e*x + d)^4 + (b^3*c^3*cosh(e*x + d)^6 - 3*b^3*c^3*cosh(e*x + d)^4 + 3*b^3*c^3*cosh(e*x + d)^2 - b^3*c^3)*log(F)^3 + 4*(15*e^3*cosh(e*x + d)^3 - 27*e^3*cosh(e*x + d) + (5*b^3*c^3*cosh(e*x + d)^3 - 3*b^3*c^3*cosh(e*x + d))*log(F)^3 - 3*(5*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^3 - 27*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^3 + 3*e^3 - 3*(b^2*c^2*e*cosh(e*x + d)^6 - b^2*c^2*e*cosh(e*x + d)^4 - b^2*c^2*e*cosh(e*x + d)^2 + b^2*c^2*e)*log(F)^2 + 3*(15*e^3*cosh(e*x + d)^4 - 54*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^4 - 6*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^4 - 6*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^4 - 54*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^2 - (b*c*e^2*cosh(e*x + d)^6 - 27*b*c*e^2*cosh(e*x + d)^4 + 27*b*c*e^2*cosh(e*x + d)^2 - b*c*e^2)*log(F) + 6*(3*e^3*cosh(e*x + d)^5 - 18*e^3*cosh(e*x + d)^3 - 9*e^3*cosh(e*x + d) + (b^3*c^3*cosh(e*x + d)^5 - 2*b^3*c^3*cosh(e*x + d)^3 + b^3*c^3*cosh(e*x + d))*log(F)^3 - (3*b^2*c^2*e*cosh(e*x + d)^5 - 2*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (b*c*e^2*cosh(e*x + d)^5 - 18*b*c*e^2*cosh(e*x + d)^3 + 9*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + (3*e^3*cosh(e*x + d)^6 - 27*e^3*cosh(e*x + d)^4 + (b^3*c^3*log(F)^3 - 3*b^2*c^2*e*log(F)^2 - b*c*e^2*log(F) + 3*e^3)*sinh(e*x + d)^6 + 6*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 3*b^2*c^2*e*cosh(e*x + d)*log(F)^2 - b*c*e^2*cosh(e*x + d)*log(F) + 3*e^3*cosh(e*x + d))*sinh(e*x + d)^5 - 27*e^3*cosh(e*x + d)^2 + 3*(15*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^2 - b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^2 - 9*b*c*e^2)*log(F))*sinh(e*x + d)^4 + (b^3*c^3*cosh(e*x + d)^6 - 3*b^3*c^3*cosh(e*x + d)^4 + 3*b^3*c^3*cosh(e*x + d)^2 - b^3*c^3)*log(F)^3 + 4*(15*e^3*cosh(e*x + d)^3 - 27*e^3*cosh(e*x + d) + (5*b^3*c^3*cosh(e*x + d)^3 - 3*b^3*c^3*cosh(e*x + d))*log(F)^3 - 3*(5*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^3 - 27*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^3 + 3*e^3 - 3*(b^2*c^2*e*cosh(e*x + d)^6 - b^2*c^2*e*cosh(e*x + d)^4 - b^2*c^2*e*cosh(e*x + d)^2 + b^2*c^2*e)*log(F)^2 + 3*(15*e^3*cosh(e*x + d)^4 - 54*e^3*cosh(e*x + d)^2 + (5*b^3*c^3*cosh(e*x + d)^4 - 6*b^3*c^3*cosh(e*x + d)^2 + b^3*c^3)*log(F)^3 - 9*e^3 - (15*b^2*c^2*e*cosh(e*x + d)^4 - 6*b^2*c^2*e*cosh(e*x + d)^2 - b^2*c^2*e)*log(F)^2 - (5*b*c*e^2*cosh(e*x + d)^4 - 54*b*c*e^2*cosh(e*x + d)^2 + 9*b*c*e^2)*log(F))*sinh(e*x + d)^2 - (b*c*e^2*cosh(e*x + d)^6 - 27*b*c*e^2*cosh(e*x + d)^4 + 27*b*c*e^2*cosh(e*x + d)^2 - b*c*e^2)*log(F) + 6*(3*e^3*cosh(e*x + d)^5 - 18*e^3*cosh(e*x + d)^3 - 9*e^3*cosh(e*x + d) + (b^3*c^3*cosh(e*x + d)^5 - 2*b^3*c^3*cosh(e*x + d)^3 + b^3*c^3*cosh(e*x + d))*log(F)^3 - (3*b^2*c^2*e*cosh(e*x + d)^5 - 2*b^2*c^2*e*cosh(e*x + d)^3 - b^2*c^2*e*cosh(e*x + d))*log(F)^2 - (b*c*e^2*cosh(e*x + d)^5 - 18*b*c*e^2*cosh(e*x + d)^3 + 9*b*c*e^2*cosh(e*x + d))*log(F))*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^4*c^4*cosh(e*x + d)^3*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)^3*log(F)^2 + 9*e^4*cosh(e*x + d)^3 + (b^4*c^4*log(F)^4 - 10*b^2*c^2*e^2*log(F)^2 + 9*e^4)*sinh(e*x + d)^3 + 3*(b^4*c^4*cosh(e*x + d)*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)*log(F)^2 + 9*e^4*cosh(e*x + d))*sinh(e*x + d)^2 + 3*(b^4*c^4*cosh(e*x + d)^2*log(F)^4 - 10*b^2*c^2*e^2*cosh(e*x + d)^2*log(F)^2 + 9*e^4*cosh(e*x + d)^2)*sinh(e*x + d))","B",0
323,1,703,0,0.515531," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} c^{2} \log\left(F\right)^{2} - 2 \, b c e \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + 8 \, e^{2} \cosh\left(e x + d\right)^{2} + 4 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - 2 \, b c e \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{4} - 2 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 2 \, {\left(6 \, b c e \cosh\left(e x + d\right)^{2} \log\left(F\right) - {\left(3 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} - b^{2} c^{2}\right)} \log\left(F\right)^{2} - 4 \, e^{2}\right)} \sinh\left(e x + d\right)^{2} - 2 \, {\left(b c e \cosh\left(e x + d\right)^{4} - b c e\right)} \log\left(F\right) - 4 \, {\left(2 \, b c e \cosh\left(e x + d\right)^{3} \log\left(F\right) - 4 \, e^{2} \cosh\left(e x + d\right) - {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{3} - b^{2} c^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2}\right)} \sinh\left(e x + d\right)\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left({\left(b^{2} c^{2} \log\left(F\right)^{2} - 2 \, b c e \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} + 8 \, e^{2} \cosh\left(e x + d\right)^{2} + 4 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - 2 \, b c e \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} + {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{4} - 2 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 2 \, {\left(6 \, b c e \cosh\left(e x + d\right)^{2} \log\left(F\right) - {\left(3 \, b^{2} c^{2} \cosh\left(e x + d\right)^{2} - b^{2} c^{2}\right)} \log\left(F\right)^{2} - 4 \, e^{2}\right)} \sinh\left(e x + d\right)^{2} - 2 \, {\left(b c e \cosh\left(e x + d\right)^{4} - b c e\right)} \log\left(F\right) - 4 \, {\left(2 \, b c e \cosh\left(e x + d\right)^{3} \log\left(F\right) - 4 \, e^{2} \cosh\left(e x + d\right) - {\left(b^{2} c^{2} \cosh\left(e x + d\right)^{3} - b^{2} c^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{2}\right)} \sinh\left(e x + d\right)\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{4 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{3} - 4 \, b c e^{2} \cosh\left(e x + d\right)^{2} \log\left(F\right) + {\left(b^{3} c^{3} \log\left(F\right)^{3} - 4 \, b c e^{2} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - 4 \, b c e^{2} \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/4*(((b^2*c^2*log(F)^2 - 2*b*c*e*log(F))*sinh(e*x + d)^4 + 8*e^2*cosh(e*x + d)^2 + 4*(b^2*c^2*cosh(e*x + d)*log(F)^2 - 2*b*c*e*cosh(e*x + d)*log(F))*sinh(e*x + d)^3 + (b^2*c^2*cosh(e*x + d)^4 - 2*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 - 2*(6*b*c*e*cosh(e*x + d)^2*log(F) - (3*b^2*c^2*cosh(e*x + d)^2 - b^2*c^2)*log(F)^2 - 4*e^2)*sinh(e*x + d)^2 - 2*(b*c*e*cosh(e*x + d)^4 - b*c*e)*log(F) - 4*(2*b*c*e*cosh(e*x + d)^3*log(F) - 4*e^2*cosh(e*x + d) - (b^2*c^2*cosh(e*x + d)^3 - b^2*c^2*cosh(e*x + d))*log(F)^2)*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + ((b^2*c^2*log(F)^2 - 2*b*c*e*log(F))*sinh(e*x + d)^4 + 8*e^2*cosh(e*x + d)^2 + 4*(b^2*c^2*cosh(e*x + d)*log(F)^2 - 2*b*c*e*cosh(e*x + d)*log(F))*sinh(e*x + d)^3 + (b^2*c^2*cosh(e*x + d)^4 - 2*b^2*c^2*cosh(e*x + d)^2 + b^2*c^2)*log(F)^2 - 2*(6*b*c*e*cosh(e*x + d)^2*log(F) - (3*b^2*c^2*cosh(e*x + d)^2 - b^2*c^2)*log(F)^2 - 4*e^2)*sinh(e*x + d)^2 - 2*(b*c*e*cosh(e*x + d)^4 - b*c*e)*log(F) - 4*(2*b*c*e*cosh(e*x + d)^3*log(F) - 4*e^2*cosh(e*x + d) - (b^2*c^2*cosh(e*x + d)^3 - b^2*c^2*cosh(e*x + d))*log(F)^2)*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^3*c^3*cosh(e*x + d)^2*log(F)^3 - 4*b*c*e^2*cosh(e*x + d)^2*log(F) + (b^3*c^3*log(F)^3 - 4*b*c*e^2*log(F))*sinh(e*x + d)^2 + 2*(b^3*c^3*cosh(e*x + d)*log(F)^3 - 4*b*c*e^2*cosh(e*x + d)*log(F))*sinh(e*x + d))","B",0
324,1,244,0,0.534031," ","integrate(F^(c*(b*x+a))*sinh(e*x+d),x, algorithm=""fricas"")","-\frac{{\left(e \cosh\left(e x + d\right)^{2} - {\left(b c \log\left(F\right) - e\right)} \sinh\left(e x + d\right)^{2} - {\left(b c \cosh\left(e x + d\right)^{2} - b c\right)} \log\left(F\right) - 2 \, {\left(b c \cosh\left(e x + d\right) \log\left(F\right) - e \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right) + e\right)} \cosh\left({\left(b c x + a c\right)} \log\left(F\right)\right) + {\left(e \cosh\left(e x + d\right)^{2} - {\left(b c \log\left(F\right) - e\right)} \sinh\left(e x + d\right)^{2} - {\left(b c \cosh\left(e x + d\right)^{2} - b c\right)} \log\left(F\right) - 2 \, {\left(b c \cosh\left(e x + d\right) \log\left(F\right) - e \cosh\left(e x + d\right)\right)} \sinh\left(e x + d\right) + e\right)} \sinh\left({\left(b c x + a c\right)} \log\left(F\right)\right)}{2 \, {\left(b^{2} c^{2} \cosh\left(e x + d\right) \log\left(F\right)^{2} - e^{2} \cosh\left(e x + d\right) + {\left(b^{2} c^{2} \log\left(F\right)^{2} - e^{2}\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"-1/2*((e*cosh(e*x + d)^2 - (b*c*log(F) - e)*sinh(e*x + d)^2 - (b*c*cosh(e*x + d)^2 - b*c)*log(F) - 2*(b*c*cosh(e*x + d)*log(F) - e*cosh(e*x + d))*sinh(e*x + d) + e)*cosh((b*c*x + a*c)*log(F)) + (e*cosh(e*x + d)^2 - (b*c*log(F) - e)*sinh(e*x + d)^2 - (b*c*cosh(e*x + d)^2 - b*c)*log(F) - 2*(b*c*cosh(e*x + d)*log(F) - e*cosh(e*x + d))*sinh(e*x + d) + e)*sinh((b*c*x + a*c)*log(F)))/(b^2*c^2*cosh(e*x + d)*log(F)^2 - e^2*cosh(e*x + d) + (b^2*c^2*log(F)^2 - e^2)*sinh(e*x + d))","B",0
325,0,0,0,0.839903," ","integrate(F^(c*(b*x+a))*csch(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{csch}\left(e x + d\right), x\right)"," ",0,"integral(F^(b*c*x + a*c)*csch(e*x + d), x)","F",0
326,0,0,0,0.732707," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{csch}\left(e x + d\right)^{2}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*csch(e*x + d)^2, x)","F",0
327,0,0,0,0.928770," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{csch}\left(e x + d\right)^{3}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*csch(e*x + d)^3, x)","F",0
328,0,0,0,0.570653," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{csch}\left(e x + d\right)^{4}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*csch(e*x + d)^4, x)","F",0
329,1,218,0,0.665004," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b c x + a c\right)^{5} + 25 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{4} - \sinh\left(b c x + a c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b c x + a c\right)^{2} - 3\right)} \sinh\left(b c x + a c\right)^{3} - 45 \, \cosh\left(b c x + a c\right)^{3} + 5 \, {\left(10 \, \cosh\left(b c x + a c\right)^{3} - 27 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 60 \, {\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - 5 \, {\left(\cosh\left(b c x + a c\right)^{4} - 24 \, b c x - 9 \, \cosh\left(b c x + a c\right)^{2} - 12\right)} \sinh\left(b c x + a c\right)}{384 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/384*(5*cosh(b*c*x + a*c)^5 + 25*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^4 - sinh(b*c*x + a*c)^5 - 5*(2*cosh(b*c*x + a*c)^2 - 3)*sinh(b*c*x + a*c)^3 - 45*cosh(b*c*x + a*c)^3 + 5*(10*cosh(b*c*x + a*c)^3 - 27*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 60*(2*b*c*x - 1)*cosh(b*c*x + a*c) - 5*(cosh(b*c*x + a*c)^4 - 24*b*c*x - 9*cosh(b*c*x + a*c)^2 - 12)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
330,1,126,0,0.800788," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b c x + a c\right)^{3} + 9 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} - \sinh\left(b c x + a c\right)^{3} + 6 \, {\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - 3 \, {\left(4 \, b c x + \cosh\left(b c x + a c\right)^{2} + 2\right)} \sinh\left(b c x + a c\right)}{32 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/32*(3*cosh(b*c*x + a*c)^3 + 9*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 - sinh(b*c*x + a*c)^3 + 6*(2*b*c*x - 1)*cosh(b*c*x + a*c) - 3*(4*b*c*x + cosh(b*c*x + a*c)^2 + 2)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
331,1,66,0,0.686320," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - {\left(2 \, b c x + 1\right)} \sinh\left(b c x + a c\right)}{4 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"-1/4*((2*b*c*x - 1)*cosh(b*c*x + a*c) - (2*b*c*x + 1)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
332,1,42,0,0.467654," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \sinh\left(b c x + a c\right)}{\cosh\left(b c x + a c\right) - \sinh\left(b c x + a c\right)}\right)}{b c}"," ",0,"log(2*sinh(b*c*x + a*c)/(cosh(b*c*x + a*c) - sinh(b*c*x + a*c)))/(b*c)","A",0
333,1,121,0,0.812221," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b c x + a c\right) + 3 \, \sinh\left(b c x + a c\right)\right)}}{b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + b c \sinh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right) + 3 \, {\left(b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)}"," ",0,"-2*(cosh(b*c*x + a*c) + 3*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + b*c*sinh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c) + 3*(b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c))","B",0
334,1,315,0,0.679322," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} + 10 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right) + 7 \, \sinh\left(b c x + a c\right)^{2} - 4\right)}}{3 \, {\left(b c \cosh\left(b c x + a c\right)^{6} + 6 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{5} + b c \sinh\left(b c x + a c\right)^{6} - 4 \, b c \cosh\left(b c x + a c\right)^{4} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{2} - 4 \, b c\right)} \sinh\left(b c x + a c\right)^{4} + 7 \, b c \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(5 \, b c \cosh\left(b c x + a c\right)^{3} - 4 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{4} - 24 \, b c \cosh\left(b c x + a c\right)^{2} + 7 \, b c\right)} \sinh\left(b c x + a c\right)^{2} - 4 \, b c + 2 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{5} - 8 \, b c \cosh\left(b c x + a c\right)^{3} + 5 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-4/3*(7*cosh(b*c*x + a*c)^2 + 10*cosh(b*c*x + a*c)*sinh(b*c*x + a*c) + 7*sinh(b*c*x + a*c)^2 - 4)/(b*c*cosh(b*c*x + a*c)^6 + 6*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^5 + b*c*sinh(b*c*x + a*c)^6 - 4*b*c*cosh(b*c*x + a*c)^4 + (15*b*c*cosh(b*c*x + a*c)^2 - 4*b*c)*sinh(b*c*x + a*c)^4 + 7*b*c*cosh(b*c*x + a*c)^2 + 4*(5*b*c*cosh(b*c*x + a*c)^3 - 4*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + (15*b*c*cosh(b*c*x + a*c)^4 - 24*b*c*cosh(b*c*x + a*c)^2 + 7*b*c)*sinh(b*c*x + a*c)^2 - 4*b*c + 2*(3*b*c*cosh(b*c*x + a*c)^5 - 8*b*c*cosh(b*c*x + a*c)^3 + 5*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
335,1,592,0,0.572313," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(7/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(19 \, \cosh\left(b c x + a c\right)^{3} + 57 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + 21 \, \sinh\left(b c x + a c\right)^{3} + 21 \, {\left(3 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right) - 9 \, \cosh\left(b c x + a c\right)\right)}}{15 \, {\left(b c \cosh\left(b c x + a c\right)^{9} + 9 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{8} + b c \sinh\left(b c x + a c\right)^{9} - 6 \, b c \cosh\left(b c x + a c\right)^{7} + 6 \, {\left(6 \, b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)^{7} + 15 \, b c \cosh\left(b c x + a c\right)^{5} + 42 \, {\left(2 \, b c \cosh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{6} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{4} - 42 \, b c \cosh\left(b c x + a c\right)^{2} + 5 \, b c\right)} \sinh\left(b c x + a c\right)^{5} - 19 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{5} - 70 \, b c \cosh\left(b c x + a c\right)^{3} + 25 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{4} + 3 \, {\left(28 \, b c \cosh\left(b c x + a c\right)^{6} - 70 \, b c \cosh\left(b c x + a c\right)^{4} + 50 \, b c \cosh\left(b c x + a c\right)^{2} - 7 \, b c\right)} \sinh\left(b c x + a c\right)^{3} + 9 \, b c \cosh\left(b c x + a c\right) + 3 \, {\left(12 \, b c \cosh\left(b c x + a c\right)^{7} - 42 \, b c \cosh\left(b c x + a c\right)^{5} + 50 \, b c \cosh\left(b c x + a c\right)^{3} - 19 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} + 3 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{8} - 14 \, b c \cosh\left(b c x + a c\right)^{6} + 25 \, b c \cosh\left(b c x + a c\right)^{4} - 21 \, b c \cosh\left(b c x + a c\right)^{2} + 7 \, b c\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-16/15*(19*cosh(b*c*x + a*c)^3 + 57*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + 21*sinh(b*c*x + a*c)^3 + 21*(3*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c) - 9*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^9 + 9*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^8 + b*c*sinh(b*c*x + a*c)^9 - 6*b*c*cosh(b*c*x + a*c)^7 + 6*(6*b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c)^7 + 15*b*c*cosh(b*c*x + a*c)^5 + 42*(2*b*c*cosh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^6 + 3*(42*b*c*cosh(b*c*x + a*c)^4 - 42*b*c*cosh(b*c*x + a*c)^2 + 5*b*c)*sinh(b*c*x + a*c)^5 - 19*b*c*cosh(b*c*x + a*c)^3 + 3*(42*b*c*cosh(b*c*x + a*c)^5 - 70*b*c*cosh(b*c*x + a*c)^3 + 25*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^4 + 3*(28*b*c*cosh(b*c*x + a*c)^6 - 70*b*c*cosh(b*c*x + a*c)^4 + 50*b*c*cosh(b*c*x + a*c)^2 - 7*b*c)*sinh(b*c*x + a*c)^3 + 9*b*c*cosh(b*c*x + a*c) + 3*(12*b*c*cosh(b*c*x + a*c)^7 - 42*b*c*cosh(b*c*x + a*c)^5 + 50*b*c*cosh(b*c*x + a*c)^3 - 19*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 + 3*(3*b*c*cosh(b*c*x + a*c)^8 - 14*b*c*cosh(b*c*x + a*c)^6 + 25*b*c*cosh(b*c*x + a*c)^4 - 21*b*c*cosh(b*c*x + a*c)^2 + 7*b*c)*sinh(b*c*x + a*c))","B",0
336,1,42,0,0.887263," ","integrate(exp(x)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b \cosh\left(b x + a\right) \cosh\left(x\right) + b \cosh\left(b x + a\right) \sinh\left(x\right) - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \sinh\left(b x + a\right)}{b^{2} - 1}"," ",0,"(b*cosh(b*x + a)*cosh(x) + b*cosh(b*x + a)*sinh(x) - (cosh(x) + sinh(x))*sinh(b*x + a))/(b^2 - 1)","A",0
337,1,103,0,0.879267," ","integrate(exp(x)*sinh(c*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(\frac{4 \, a c - 1}{4 \, c}\right) + \sinh\left(\frac{4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + 1\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{\pi} \sqrt{c} {\left(\cosh\left(\frac{4 \, a c - 1}{4 \, c}\right) - \sinh\left(\frac{4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x - 1}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*sqrt(-c)*(cosh(1/4*(4*a*c - 1)/c) + sinh(1/4*(4*a*c - 1)/c))*erf(1/2*(2*c*x + 1)*sqrt(-c)/c) + sqrt(pi)*sqrt(c)*(cosh(1/4*(4*a*c - 1)/c) - sinh(1/4*(4*a*c - 1)/c))*erf(1/2*(2*c*x - 1)/sqrt(c)))/c","A",0
338,1,129,0,0.647365," ","integrate(exp(x)*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right) + \sinh\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b + 1\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{\pi} \sqrt{c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right) - \sinh\left(-\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x + b - 1}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*sqrt(-c)*(cosh(-1/4*(b^2 - 4*a*c + 2*b + 1)/c) + sinh(-1/4*(b^2 - 4*a*c + 2*b + 1)/c))*erf(1/2*(2*c*x + b + 1)*sqrt(-c)/c) + sqrt(pi)*sqrt(c)*(cosh(-1/4*(b^2 - 4*a*c - 2*b + 1)/c) - sinh(-1/4*(b^2 - 4*a*c - 2*b + 1)/c))*erf(1/2*(2*c*x + b - 1)/sqrt(c)))/c","A",0
339,1,45,0,0.759145," ","integrate(exp(x^2)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{\pi} {\left(\operatorname{erfi}\left(\frac{1}{2} \, b + x\right) e^{\left(\frac{1}{4} \, b^{2} + a\right)} - \operatorname{erfi}\left(-\frac{1}{2} \, b + x\right) e^{\left(\frac{1}{4} \, b^{2} - a\right)}\right)} e^{\left(-\frac{1}{2} \, b^{2}\right)}"," ",0,"1/4*sqrt(pi)*(erfi(1/2*b + x)*e^(1/4*b^2 + a) - erfi(-1/2*b + x)*e^(1/4*b^2 - a))*e^(-1/2*b^2)","A",0
340,1,75,0,0.963359," ","integrate(exp(x^2)*sinh(c*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left({\left(c + 1\right)} \cosh\left(a\right) - {\left(c + 1\right)} \sinh\left(a\right)\right)} \sqrt{c - 1} \operatorname{erf}\left(\sqrt{c - 1} x\right) + \sqrt{\pi} {\left({\left(c - 1\right)} \cosh\left(a\right) + {\left(c - 1\right)} \sinh\left(a\right)\right)} \sqrt{-c - 1} \operatorname{erf}\left(\sqrt{-c - 1} x\right)}{4 \, {\left(c^{2} - 1\right)}}"," ",0,"-1/4*(sqrt(pi)*((c + 1)*cosh(a) - (c + 1)*sinh(a))*sqrt(c - 1)*erf(sqrt(c - 1)*x) + sqrt(pi)*((c - 1)*cosh(a) + (c - 1)*sinh(a))*sqrt(-c - 1)*erf(sqrt(-c - 1)*x))/(c^2 - 1)","A",0
341,1,164,0,0.480390," ","integrate(exp(x^2)*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left({\left(c + 1\right)} \cosh\left(-\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right) - {\left(c + 1\right)} \sinh\left(-\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right)\right)} \sqrt{c - 1} \operatorname{erf}\left(\frac{2 \, {\left(c - 1\right)} x + b}{2 \, \sqrt{c - 1}}\right) + \sqrt{\pi} {\left({\left(c - 1\right)} \cosh\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right) + {\left(c - 1\right)} \sinh\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right)\right)} \sqrt{-c - 1} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c + 1\right)} x + b\right)} \sqrt{-c - 1}}{2 \, {\left(c + 1\right)}}\right)}{4 \, {\left(c^{2} - 1\right)}}"," ",0,"-1/4*(sqrt(pi)*((c + 1)*cosh(-1/4*(b^2 - 4*a*c + 4*a)/(c - 1)) - (c + 1)*sinh(-1/4*(b^2 - 4*a*c + 4*a)/(c - 1)))*sqrt(c - 1)*erf(1/2*(2*(c - 1)*x + b)/sqrt(c - 1)) + sqrt(pi)*((c - 1)*cosh(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1)) + (c - 1)*sinh(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1)))*sqrt(-c - 1)*erf(1/2*(2*(c + 1)*x + b)*sqrt(-c - 1)/(c + 1)))/(c^2 - 1)","A",0
342,1,213,0,0.454475," ","integrate(f^(b*x+a)*sinh(f*x^2+d),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) - \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) - \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) - \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}{4 \, f}"," ",0,"-1/4*(sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f) - sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f)) - sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f) - sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f))/f","B",0
343,1,278,0,0.708013," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} b \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right)\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right)\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) - \sqrt{2} \sqrt{\pi} b \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right) + 8 \, f \cosh\left({\left(b x + a\right)} \log\left(f\right)\right) + 8 \, f \sinh\left({\left(b x + a\right)} \log\left(f\right)\right)}{16 \, b f \log\left(f\right)}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*b*sqrt(-f)*cosh(1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f))*sqrt(-f)/f)*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*cosh(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f))/sqrt(f))*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f))/sqrt(f))*log(f)*sinh(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f) - sqrt(2)*sqrt(pi)*b*sqrt(-f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f))*sqrt(-f)/f)*log(f)*sinh(1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f) + 8*f*cosh((b*x + a)*log(f)) + 8*f*sinh((b*x + a)*log(f)))/(b*f*log(f))","B",0
344,1,445,0,0.494369," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{6 \, f}\right) - \sqrt{3} \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right)\right)}}{6 \, \sqrt{f}}\right) - \sqrt{3} \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right)\right)}}{6 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) - \sqrt{3} \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{6 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right) - 9 \, \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) + 9 \, \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right)}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right)\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}{48 \, f}"," ",0,"-1/48*(sqrt(3)*sqrt(pi)*sqrt(-f)*cosh(1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f))*sqrt(-f)/f) - sqrt(3)*sqrt(pi)*sqrt(f)*cosh(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f))/sqrt(f)) - sqrt(3)*sqrt(pi)*sqrt(f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f))/sqrt(f))*sinh(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f) - sqrt(3)*sqrt(pi)*sqrt(-f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f) - 9*sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f) + 9*sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f)) + 9*sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f))/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f) + 9*sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f))*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f))/f","B",0
345,1,253,0,0.562310," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) - \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) - \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) - \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right)}{4 \, f}"," ",0,"-1/4*(sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f) - sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f)) - sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f) - sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f))/f","B",0
346,1,334,0,0.429204," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} b \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right) + 2 \, e\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right) + 2 \, e\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) - \sqrt{2} \sqrt{\pi} b \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{2} {\left(4 \, f x + b \log\left(f\right) + 2 \, e\right)} \sqrt{-f}}{4 \, f}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) + \sqrt{2} \sqrt{\pi} b \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{2} {\left(4 \, f x - b \log\left(f\right) + 2 \, e\right)}}{4 \, \sqrt{f}}\right) \log\left(f\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{8 \, f}\right) + 8 \, f \cosh\left({\left(b x + a\right)} \log\left(f\right)\right) + 8 \, f \sinh\left({\left(b x + a\right)} \log\left(f\right)\right)}{16 \, b f \log\left(f\right)}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*b*sqrt(-f)*cosh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f + 4*(b*e - 2*a*f)*log(f))/f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f) + 2*e)*sqrt(-f)/f)*log(f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*cosh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f - 4*(b*e - 2*a*f)*log(f))/f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f) + 2*e)/sqrt(f))*log(f) - sqrt(2)*sqrt(pi)*b*sqrt(-f)*erf(1/4*sqrt(2)*(4*f*x + b*log(f) + 2*e)*sqrt(-f)/f)*log(f)*sinh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f + 4*(b*e - 2*a*f)*log(f))/f) + sqrt(2)*sqrt(pi)*b*sqrt(f)*erf(-1/4*sqrt(2)*(4*f*x - b*log(f) + 2*e)/sqrt(f))*log(f)*sinh(1/8*(b^2*log(f)^2 + 4*e^2 - 16*d*f - 4*(b*e - 2*a*f)*log(f))/f) + 8*f*cosh((b*x + a)*log(f)) + 8*f*sinh((b*x + a)*log(f)))/(b*f*log(f))","B",0
347,1,541,0,0.517918," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right) + 3 \, e\right)} \sqrt{-f}}{6 \, f}\right) - \sqrt{3} \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right) + 3 \, e\right)}}{6 \, \sqrt{f}}\right) - \sqrt{3} \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{\sqrt{3} {\left(6 \, f x + b \log\left(f\right) + 3 \, e\right)} \sqrt{-f}}{6 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) - \sqrt{3} \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{\sqrt{3} {\left(6 \, f x - b \log\left(f\right) + 3 \, e\right)}}{6 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{12 \, f}\right) - 9 \, \sqrt{\pi} \sqrt{-f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \cosh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) + 9 \, \sqrt{\pi} \sqrt{-f} \operatorname{erf}\left(\frac{{\left(2 \, f x + b \log\left(f\right) + e\right)} \sqrt{-f}}{2 \, f}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right) + 9 \, \sqrt{\pi} \sqrt{f} \operatorname{erf}\left(-\frac{2 \, f x - b \log\left(f\right) + e}{2 \, \sqrt{f}}\right) \sinh\left(\frac{b^{2} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(b e - 2 \, a f\right)} \log\left(f\right)}{4 \, f}\right)}{48 \, f}"," ",0,"-1/48*(sqrt(3)*sqrt(pi)*sqrt(-f)*cosh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f + 6*(b*e - 2*a*f)*log(f))/f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f) + 3*e)*sqrt(-f)/f) - sqrt(3)*sqrt(pi)*sqrt(f)*cosh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f - 6*(b*e - 2*a*f)*log(f))/f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f) + 3*e)/sqrt(f)) - sqrt(3)*sqrt(pi)*sqrt(-f)*erf(1/6*sqrt(3)*(6*f*x + b*log(f) + 3*e)*sqrt(-f)/f)*sinh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f + 6*(b*e - 2*a*f)*log(f))/f) - sqrt(3)*sqrt(pi)*sqrt(f)*erf(-1/6*sqrt(3)*(6*f*x - b*log(f) + 3*e)/sqrt(f))*sinh(1/12*(b^2*log(f)^2 + 9*e^2 - 36*d*f - 6*(b*e - 2*a*f)*log(f))/f) - 9*sqrt(pi)*sqrt(-f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f) + 9*sqrt(pi)*sqrt(f)*cosh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f)) + 9*sqrt(pi)*sqrt(-f)*erf(1/2*(2*f*x + b*log(f) + e)*sqrt(-f)/f)*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f + 2*(b*e - 2*a*f)*log(f))/f) + 9*sqrt(pi)*sqrt(f)*erf(-1/2*(2*f*x - b*log(f) + e)/sqrt(f))*sinh(1/4*(b^2*log(f)^2 + e^2 - 4*d*f - 2*(b*e - 2*a*f)*log(f))/f))/f","B",0
348,1,217,0,0.506392," ","integrate(f^(c*x^2+a)*sinh(e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{4 \, c \log\left(f\right)}"," ",0,"-1/4*(sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
349,1,244,0,0.515048," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} \sinh\left(a \log\left(f\right)\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{c \log\left(f\right)}\right)}{8 \, c \log\left(f\right)}"," ",0,"1/8*(2*sqrt(-c*log(f))*(sqrt(pi)*cosh(a*log(f)) + sqrt(pi)*sinh(a*log(f)))*erf(sqrt(-c*log(f))*x) - sqrt(-c*log(f))*(sqrt(pi)*cosh((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f))))*erf((c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f))))*erf((c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","A",0
350,1,427,0,0.513243," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{16 \, c \log\left(f\right)}"," ",0,"-1/16*(sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + 3*e)*sqrt(-c*log(f))/(c*log(f))) - 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f))) + sqrt(pi)*sinh(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f))))*erf(1/2*(2*c*x*log(f) - 3*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
351,1,146,0,0.432805," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(a \log\left(f\right) - d\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(a \log\left(f\right) - d\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) - {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(a \log\left(f\right) + d\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(a \log\left(f\right) + d\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"1/4*((sqrt(pi)*(c*log(f) + f)*cosh(a*log(f) - d) + sqrt(pi)*(c*log(f) + f)*sinh(a*log(f) - d))*sqrt(-c*log(f) + f)*erf(sqrt(-c*log(f) + f)*x) - (sqrt(pi)*(c*log(f) - f)*cosh(a*log(f) + d) + sqrt(pi)*(c*log(f) - f)*sinh(a*log(f) + d))*sqrt(-c*log(f) - f)*erf(sqrt(-c*log(f) - f)*x))/(c^2*log(f)^2 - f^2)","B",0
352,1,254,0,0.419612," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(a \log\left(f\right) - 2 \, d\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(a \log\left(f\right) - 2 \, d\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(a \log\left(f\right) + 2 \, d\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(a \log\left(f\right) + 2 \, d\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x\right) - 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(a \log\left(f\right)\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(a*log(f) - 2*d) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(a*log(f) - 2*d))*sqrt(-c*log(f) + 2*f)*erf(sqrt(-c*log(f) + 2*f)*x) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(a*log(f) + 2*d) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(a*log(f) + 2*d))*sqrt(-c*log(f) - 2*f)*erf(sqrt(-c*log(f) - 2*f)*x) - 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(a*log(f)) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(a*log(f)))*sqrt(-c*log(f))*erf(sqrt(-c*log(f))*x))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
353,1,492,0,0.738374," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^3,x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(a \log\left(f\right) - 3 \, d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(a \log\left(f\right) - 3 \, d\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x\right) - 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(a \log\left(f\right) - d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(a \log\left(f\right) - d\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(a \log\left(f\right) + d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(a \log\left(f\right) + d\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right) - {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(a \log\left(f\right) + 3 \, d\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(a \log\left(f\right) + 3 \, d\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(a*log(f) - 3*d) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(a*log(f) - 3*d))*sqrt(-c*log(f) + 3*f)*erf(sqrt(-c*log(f) + 3*f)*x) - 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(a*log(f) - d) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(a*log(f) - d))*sqrt(-c*log(f) + f)*erf(sqrt(-c*log(f) + f)*x) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(a*log(f) + d) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(a*log(f) + d))*sqrt(-c*log(f) - f)*erf(sqrt(-c*log(f) - f)*x) - (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(a*log(f) + 3*d) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(a*log(f) + 3*d))*sqrt(-c*log(f) - 3*f)*erf(sqrt(-c*log(f) - 3*f)*x))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
354,1,322,0,0.484919," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) - {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"1/4*((sqrt(pi)*(c*log(f) + f)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(1/2*(2*c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) - (sqrt(pi)*(c*log(f) - f)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
355,1,422,0,0.657374," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(a \log\left(f\right)\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(a \log\left(f\right)\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right) - {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{c \log\left(f\right) - 2 \, f}\right) - {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(\frac{a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 2 \, {\left(c d + a f\right)} \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{c \log\left(f\right) + 2 \, f}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"1/8*(2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(a*log(f)) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(a*log(f)))*sqrt(-c*log(f))*erf(sqrt(-c*log(f))*x) - (sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh((a*c*log(f)^2 - e^2 + 4*d*f - 2*(c*d + a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh((a*c*log(f)^2 - e^2 + 4*d*f - 2*(c*d + a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf((c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) - (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh((a*c*log(f)^2 - e^2 + 4*d*f + 2*(c*d + a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh((a*c*log(f)^2 - e^2 + 4*d*f + 2*(c*d + a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf((c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
356,1,848,0,0.605929," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 6 \, f x - 3 \, e\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) - 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) - 2 \, f x - e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - e^{2} + 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 2 \, f x + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) - {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(\frac{4 \, a c \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + 6 \, f x + 3 \, e\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(1/2*(2*c*x*log(f) - 6*f*x - 3*e)*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) - 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(1/2*(2*c*x*log(f) - 2*f*x - e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(1/4*(4*a*c*log(f)^2 - e^2 + 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*c*x*log(f) + 2*f*x + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)) - (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(1/4*(4*a*c*log(f)^2 - 9*e^2 + 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(2*c*x*log(f) + 6*f*x + 3*e)*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
357,1,263,0,0.675646," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{4 \, c \log\left(f\right)}"," ",0,"-1/4*(sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
358,1,343,0,0.585269," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} + 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} + 4 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - 2 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{8 \, c \log\left(f\right)}"," ",0,"1/8*(2*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c) - sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 4*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 4*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 + 4*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 + 4*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - 2*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
359,1,527,0,0.646188," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^3,x, algorithm=""fricas"")","-\frac{\sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) + 3 \, \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} + 2 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) - \sqrt{-c \log\left(f\right)} {\left(\sqrt{\pi} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} + 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right) + \sqrt{\pi} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} + 6 \, {\left(2 \, c d - b e\right)} \log\left(f\right)}{4 \, c \log\left(f\right)}\right)\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) - 3 \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right)}{16 \, c \log\left(f\right)}"," ",0,"-1/16*(sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 6*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 6*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f))/(c*log(f))) - 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) + e)*sqrt(-c*log(f))/(c*log(f))) + 3*sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 + 2*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - e)*sqrt(-c*log(f))/(c*log(f))) - sqrt(-c*log(f))*(sqrt(pi)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 + 6*(2*c*d - b*e)*log(f))/(c*log(f))) + sqrt(pi)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 + 6*(2*c*d - b*e)*log(f))/(c*log(f))))*erf(1/2*((2*c*x + b)*log(f) - 3*e)*sqrt(-c*log(f))/(c*log(f))))/(c*log(f))","B",0
360,1,325,0,0.490675," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) - {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"1/4*((sqrt(pi)*(c*log(f) + f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + f)/(c*log(f) - f)) - (sqrt(pi)*(c*log(f) - f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
361,1,466,0,0.560753," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f + 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f + 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(-\frac{{\left(4 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{2 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f - 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 16 \, d f - 8 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(4 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{2 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) - 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f + 8*(c*d + a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f + 8*(c*d + a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf(-1/2*(4*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f - 8*(c*d + a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 16*d*f - 8*(c*d + a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf(1/2*(4*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)) - 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
362,1,852,0,1.720159," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f + 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(-\frac{{\left(6 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) - 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f + 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 4 \, d f - 4 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) - {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 36 \, d f - 12 \, {\left(c d + a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(6 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f + 12*(c*d + a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(-1/2*(6*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) - 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f + 4*(c*d + a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f))*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 4*d*f - 4*(c*d + a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - f)/(c*log(f) + f)) - (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 - 36*d*f - 12*(c*d + a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(6*f*x + (2*c*x + b)*log(f))*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
363,1,363,0,0.981560," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) + f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) - {\left(\sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c \log\left(f\right) - f\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} - f^{2}\right)}}"," ",0,"1/4*((sqrt(pi)*(c*log(f) + f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c*log(f) + f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) - (sqrt(pi)*(c*log(f) - f)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c*log(f) - f)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)))/(c^2*log(f)^2 - f^2)","B",0
364,1,516,0,0.495813," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} + 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f + 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 2 \, f} \operatorname{erf}\left(-\frac{{\left(4 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right) + 2 \, f}}{2 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right) + {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 2 \, c f \log\left(f\right)\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 4 \, e^{2} - 16 \, d f - 4 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 2 \, f} \operatorname{erf}\left(\frac{{\left(4 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + 2 \, e\right)} \sqrt{-c \log\left(f\right) - 2 \, f}}{2 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right) - 2 \, {\left(\sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right) + \sqrt{\pi} {\left(c^{2} \log\left(f\right)^{2} - 4 \, f^{2}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)}{4 \, c}\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{8 \, {\left(c^{3} \log\left(f\right)^{3} - 4 \, c f^{2} \log\left(f\right)\right)}}"," ",0,"-1/8*((sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f + 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 2*f)) + sqrt(pi)*(c^2*log(f)^2 + 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f + 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 2*f)))*sqrt(-c*log(f) + 2*f)*erf(-1/2*(4*f*x - (2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f) + 2*f)/(c*log(f) - 2*f)) + (sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f - 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 2*f)) + sqrt(pi)*(c^2*log(f)^2 - 2*c*f*log(f))*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 4*e^2 - 16*d*f - 4*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 2*f)))*sqrt(-c*log(f) - 2*f)*erf(1/2*(4*f*x + (2*c*x + b)*log(f) + 2*e)*sqrt(-c*log(f) - 2*f)/(c*log(f) + 2*f)) - 2*(sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*cosh(-1/4*(b^2 - 4*a*c)*log(f)/c) + sqrt(pi)*(c^2*log(f)^2 - 4*f^2)*sinh(-1/4*(b^2 - 4*a*c)*log(f)/c))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c))/(c^3*log(f)^3 - 4*c*f^2*log(f))","B",0
365,1,940,0,0.704534," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) - 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f + 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + 3 \, f} \operatorname{erf}\left(-\frac{{\left(6 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right) + 3 \, f}}{2 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right) - 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} + c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) - 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f + 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + f} \operatorname{erf}\left(-\frac{{\left(2 \, f x - {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) + f}}{2 \, {\left(c \log\left(f\right) - f\right)}}\right) + 3 \, {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - c^{2} f \log\left(f\right)^{2} - 9 \, c f^{2} \log\left(f\right) + 9 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + e^{2} - 4 \, d f - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - f} \operatorname{erf}\left(\frac{{\left(2 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + e\right)} \sqrt{-c \log\left(f\right) - f}}{2 \, {\left(c \log\left(f\right) + f\right)}}\right) - {\left(\sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \cosh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right) + \sqrt{\pi} {\left(c^{3} \log\left(f\right)^{3} - 3 \, c^{2} f \log\left(f\right)^{2} - c f^{2} \log\left(f\right) + 3 \, f^{3}\right)} \sinh\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} + 9 \, e^{2} - 36 \, d f - 6 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right)}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) - 3 \, f} \operatorname{erf}\left(\frac{{\left(6 \, f x + {\left(2 \, c x + b\right)} \log\left(f\right) + 3 \, e\right)} \sqrt{-c \log\left(f\right) - 3 \, f}}{2 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}{16 \, {\left(c^{4} \log\left(f\right)^{4} - 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/16*((sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f + 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 3*f)) + sqrt(pi)*(c^3*log(f)^3 + 3*c^2*f*log(f)^2 - c*f^2*log(f) - 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f + 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - 3*f)))*sqrt(-c*log(f) + 3*f)*erf(-1/2*(6*f*x - (2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f) + 3*f)/(c*log(f) - 3*f)) - 3*(sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)) + sqrt(pi)*(c^3*log(f)^3 + c^2*f*log(f)^2 - 9*c*f^2*log(f) - 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f + 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) - f)))*sqrt(-c*log(f) + f)*erf(-1/2*(2*f*x - (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) + f)/(c*log(f) - f)) + 3*(sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)) + sqrt(pi)*(c^3*log(f)^3 - c^2*f*log(f)^2 - 9*c*f^2*log(f) + 9*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + e^2 - 4*d*f - 2*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + f)))*sqrt(-c*log(f) - f)*erf(1/2*(2*f*x + (2*c*x + b)*log(f) + e)*sqrt(-c*log(f) - f)/(c*log(f) + f)) - (sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*cosh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f - 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 3*f)) + sqrt(pi)*(c^3*log(f)^3 - 3*c^2*f*log(f)^2 - c*f^2*log(f) + 3*f^3)*sinh(-1/4*((b^2 - 4*a*c)*log(f)^2 + 9*e^2 - 36*d*f - 6*(2*c*d - b*e + 2*a*f)*log(f))/(c*log(f) + 3*f)))*sqrt(-c*log(f) - 3*f)*erf(1/2*(6*f*x + (2*c*x + b)*log(f) + 3*e)*sqrt(-c*log(f) - 3*f)/(c*log(f) + 3*f)))/(c^4*log(f)^4 - 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
366,1,22,0,0.546430," ","integrate((x+sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + 2 \, x \cosh\left(x\right) + \frac{1}{2} \, {\left(\cosh\left(x\right) - 4\right)} \sinh\left(x\right) - \frac{1}{2} \, x"," ",0,"1/3*x^3 + 2*x*cosh(x) + 1/2*(cosh(x) - 4)*sinh(x) - 1/2*x","A",0
367,1,58,0,0.459623," ","integrate((x+sinh(x))^3,x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} + \frac{1}{12} \, \cosh\left(x\right)^{3} + \frac{1}{8} \, {\left(2 \, \cosh\left(x\right) - 3\right)} \sinh\left(x\right)^{2} - \frac{3}{4} \, x^{2} + \frac{3}{4} \, {\left(4 \, x^{2} + 7\right)} \cosh\left(x\right) - \frac{3}{8} \, \cosh\left(x\right)^{2} + \frac{3}{2} \, {\left(x \cosh\left(x\right) - 4 \, x\right)} \sinh\left(x\right)"," ",0,"1/4*x^4 + 1/12*cosh(x)^3 + 1/8*(2*cosh(x) - 3)*sinh(x)^2 - 3/4*x^2 + 3/4*(4*x^2 + 7)*cosh(x) - 3/8*cosh(x)^2 + 3/2*(x*cosh(x) - 4*x)*sinh(x)","A",0
368,1,316,0,0.457109," ","integrate(sinh(b*x+a)/(d*x^2+c),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x + \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \cosh\left(a + \sqrt{-\frac{b^{2} c}{d}}\right) - {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x - \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \cosh\left(-a + \sqrt{-\frac{b^{2} c}{d}}\right) + {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) + \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x + \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \sinh\left(a + \sqrt{-\frac{b^{2} c}{d}}\right) + {\left(\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) + \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(-b x - \sqrt{-\frac{b^{2} c}{d}}\right)\right)} \sinh\left(-a + \sqrt{-\frac{b^{2} c}{d}}\right)}{4 \, b c}"," ",0,"-1/4*((sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(-b*x + sqrt(-b^2*c/d)))*cosh(a + sqrt(-b^2*c/d)) - (sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(-b*x - sqrt(-b^2*c/d)))*cosh(-a + sqrt(-b^2*c/d)) + (sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d)) + sqrt(-b^2*c/d)*Ei(-b*x + sqrt(-b^2*c/d)))*sinh(a + sqrt(-b^2*c/d)) + (sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d)) + sqrt(-b^2*c/d)*Ei(-b*x - sqrt(-b^2*c/d)))*sinh(-a + sqrt(-b^2*c/d)))/(b*c)","B",0
369,1,671,0,0.539344," ","integrate(sinh(b*x+a)/(e*x^2+d*x+c),x, algorithm=""fricas"")","-\frac{{\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \cosh\left(\frac{b d - 2 \, a e + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \cosh\left(-\frac{b d - 2 \, a e - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \sinh\left(\frac{b d - 2 \, a e + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) - {\left(e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right) + e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}} {\rm Ei}\left(-\frac{2 \, b e x + b d - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)\right)} \sinh\left(-\frac{b d - 2 \, a e - e \sqrt{\frac{b^{2} d^{2} - 4 \, b^{2} c e}{e^{2}}}}{2 \, e}\right)}{2 \, {\left(b d^{2} - 4 \, b c e\right)}}"," ",0,"-1/2*((e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*cosh(1/2*(b*d - 2*a*e + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*cosh(-1/2*(b*d - 2*a*e - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*sinh(1/2*(b*d - 2*a*e + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) - (e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e) + e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2)*Ei(-1/2*(2*b*e*x + b*d - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))*sinh(-1/2*(b*d - 2*a*e - e*sqrt((b^2*d^2 - 4*b^2*c*e)/e^2))/e))/(b*d^2 - 4*b*c*e)","B",0
