1,1,34,0,0.410477," ","integrate(2/(-1+3*cosh(4+6*x)),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{3}{4} \, \sqrt{2} \cosh\left(6 \, x + 4\right) + \frac{3}{4} \, \sqrt{2} \sinh\left(6 \, x + 4\right) - \frac{1}{4} \, \sqrt{2}\right)"," ",0,"1/6*sqrt(2)*arctan(3/4*sqrt(2)*cosh(6*x + 4) + 3/4*sqrt(2)*sinh(6*x + 4) - 1/4*sqrt(2))","B",0
2,1,47,0,0.421838," ","integrate(1/(cosh(2+3*x)^2+2*sinh(2+3*x)^2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(3 \, x + 2\right) + 2 \, \sqrt{2} \sinh\left(3 \, x + 2\right)}{2 \, {\left(\cosh\left(3 \, x + 2\right) - \sinh\left(3 \, x + 2\right)\right)}}\right)"," ",0,"-1/6*sqrt(2)*arctan(-1/2*(sqrt(2)*cosh(3*x + 2) + 2*sqrt(2)*sinh(3*x + 2))/(cosh(3*x + 2) - sinh(3*x + 2)))","B",0
3,1,47,0,0.444812," ","integrate(sech(2+3*x)^2/(1+2*tanh(2+3*x)^2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(3 \, x + 2\right) + 2 \, \sqrt{2} \sinh\left(3 \, x + 2\right)}{2 \, {\left(\cosh\left(3 \, x + 2\right) - \sinh\left(3 \, x + 2\right)\right)}}\right)"," ",0,"-1/6*sqrt(2)*arctan(-1/2*(sqrt(2)*cosh(3*x + 2) + 2*sqrt(2)*sinh(3*x + 2))/(cosh(3*x + 2) - sinh(3*x + 2)))","B",0
4,1,47,0,0.393885," ","integrate(csch(2+3*x)^2/(2+coth(2+3*x)^2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(3 \, x + 2\right) + 2 \, \sqrt{2} \sinh\left(3 \, x + 2\right)}{2 \, {\left(\cosh\left(3 \, x + 2\right) - \sinh\left(3 \, x + 2\right)\right)}}\right)"," ",0,"-1/6*sqrt(2)*arctan(-1/2*(sqrt(2)*cosh(3*x + 2) + 2*sqrt(2)*sinh(3*x + 2))/(cosh(3*x + 2) - sinh(3*x + 2)))","B",0
5,1,89,0,0.467759," ","integrate(csch(2+3*x)^2/(2-coth(2+3*x)^2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(3 \, x + 2\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(3 \, x + 2\right) \sinh\left(3 \, x + 2\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(3 \, x + 2\right)^{2} - 2 \, \sqrt{2} - 3}{\cosh\left(3 \, x + 2\right)^{2} + \sinh\left(3 \, x + 2\right)^{2} - 3}\right)"," ",0,"1/12*sqrt(2)*log((3*(2*sqrt(2) + 3)*cosh(3*x + 2)^2 - 4*(3*sqrt(2) + 4)*cosh(3*x + 2)*sinh(3*x + 2) + 3*(2*sqrt(2) + 3)*sinh(3*x + 2)^2 - 2*sqrt(2) - 3)/(cosh(3*x + 2)^2 + sinh(3*x + 2)^2 - 3))","B",0
6,1,47,0,0.416670," ","integrate(csch(2+3*x)^2/(1+2*coth(2+3*x)^2),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{2 \, \sqrt{2} \cosh\left(3 \, x + 2\right) + \sqrt{2} \sinh\left(3 \, x + 2\right)}{2 \, {\left(\cosh\left(3 \, x + 2\right) - \sinh\left(3 \, x + 2\right)\right)}}\right)"," ",0,"-1/6*sqrt(2)*arctan(-1/2*(2*sqrt(2)*cosh(3*x + 2) + sqrt(2)*sinh(3*x + 2))/(cosh(3*x + 2) - sinh(3*x + 2)))","B",0
7,1,89,0,0.448330," ","integrate(csch(2+3*x)^2/(1-2*coth(2+3*x)^2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(3 \, x + 2\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(3 \, x + 2\right) \sinh\left(3 \, x + 2\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(3 \, x + 2\right)^{2} + 2 \, \sqrt{2} + 3}{\cosh\left(3 \, x + 2\right)^{2} + \sinh\left(3 \, x + 2\right)^{2} + 3}\right)"," ",0,"1/12*sqrt(2)*log((3*(2*sqrt(2) + 3)*cosh(3*x + 2)^2 - 4*(3*sqrt(2) + 4)*cosh(3*x + 2)*sinh(3*x + 2) + 3*(2*sqrt(2) + 3)*sinh(3*x + 2)^2 + 2*sqrt(2) + 3)/(cosh(3*x + 2)^2 + sinh(3*x + 2)^2 + 3))","B",0
8,1,22,0,0.518435," ","integrate(cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2}}{4 \, b}"," ",0,"1/4*(cosh(b*x + a)^2 + sinh(b*x + a)^2)/b","A",0
9,1,68,0,0.498151," ","integrate(cosh(b*x+a)*sinh(b*x+a)^n,x, algorithm=""fricas"")","\frac{\cosh\left(n \log\left(\sinh\left(b x + a\right)\right)\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right) \sinh\left(n \log\left(\sinh\left(b x + a\right)\right)\right)}{{\left(b n + b\right)} \cosh\left(b x + a\right)^{2} - {\left(b n + b\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"(cosh(n*log(sinh(b*x + a)))*sinh(b*x + a) + sinh(b*x + a)*sinh(n*log(sinh(b*x + a))))/((b*n + b)*cosh(b*x + a)^2 - (b*n + b)*sinh(b*x + a)^2)","B",0
10,1,175,0,0.543755," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left({\left(n + 1\right)} \sinh\left(b x + a\right)^{3} + {\left(3 \, {\left(n + 1\right)} \cosh\left(b x + a\right)^{2} + n + 9\right)} \sinh\left(b x + a\right)\right)} \cosh\left(n \log\left(\sinh\left(b x + a\right)\right)\right) + {\left({\left(n + 1\right)} \sinh\left(b x + a\right)^{3} + {\left(3 \, {\left(n + 1\right)} \cosh\left(b x + a\right)^{2} + n + 9\right)} \sinh\left(b x + a\right)\right)} \sinh\left(n \log\left(\sinh\left(b x + a\right)\right)\right)}{4 \, {\left({\left(b n^{2} + 4 \, b n + 3 \, b\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(b n^{2} + 4 \, b n + 3 \, b\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(b n^{2} + 4 \, b n + 3 \, b\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/4*(((n + 1)*sinh(b*x + a)^3 + (3*(n + 1)*cosh(b*x + a)^2 + n + 9)*sinh(b*x + a))*cosh(n*log(sinh(b*x + a))) + ((n + 1)*sinh(b*x + a)^3 + (3*(n + 1)*cosh(b*x + a)^2 + n + 9)*sinh(b*x + a))*sinh(n*log(sinh(b*x + a))))/((b*n^2 + 4*b*n + 3*b)*cosh(b*x + a)^4 - 2*(b*n^2 + 4*b*n + 3*b)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (b*n^2 + 4*b*n + 3*b)*sinh(b*x + a)^4)","B",0
11,1,379,0,0.483017," ","integrate(cosh(b*x+a)^5*sinh(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left({\left(n^{2} + 4 \, n + 3\right)} \sinh\left(b x + a\right)^{5} + {\left(10 \, {\left(n^{2} + 4 \, n + 3\right)} \cosh\left(b x + a\right)^{2} + 3 \, n^{2} + 28 \, n + 25\right)} \sinh\left(b x + a\right)^{3} + {\left(5 \, {\left(n^{2} + 4 \, n + 3\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(3 \, n^{2} + 28 \, n + 25\right)} \cosh\left(b x + a\right)^{2} + 2 \, n^{2} + 24 \, n + 150\right)} \sinh\left(b x + a\right)\right)} \cosh\left(n \log\left(\sinh\left(b x + a\right)\right)\right) + {\left({\left(n^{2} + 4 \, n + 3\right)} \sinh\left(b x + a\right)^{5} + {\left(10 \, {\left(n^{2} + 4 \, n + 3\right)} \cosh\left(b x + a\right)^{2} + 3 \, n^{2} + 28 \, n + 25\right)} \sinh\left(b x + a\right)^{3} + {\left(5 \, {\left(n^{2} + 4 \, n + 3\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(3 \, n^{2} + 28 \, n + 25\right)} \cosh\left(b x + a\right)^{2} + 2 \, n^{2} + 24 \, n + 150\right)} \sinh\left(b x + a\right)\right)} \sinh\left(n \log\left(\sinh\left(b x + a\right)\right)\right)}{16 \, {\left({\left(b n^{3} + 9 \, b n^{2} + 23 \, b n + 15 \, b\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b n^{3} + 9 \, b n^{2} + 23 \, b n + 15 \, b\right)} \cosh\left(b x + a\right)^{4} \sinh\left(b x + a\right)^{2} + 3 \, {\left(b n^{3} + 9 \, b n^{2} + 23 \, b n + 15 \, b\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(b n^{3} + 9 \, b n^{2} + 23 \, b n + 15 \, b\right)} \sinh\left(b x + a\right)^{6}\right)}}"," ",0,"1/16*(((n^2 + 4*n + 3)*sinh(b*x + a)^5 + (10*(n^2 + 4*n + 3)*cosh(b*x + a)^2 + 3*n^2 + 28*n + 25)*sinh(b*x + a)^3 + (5*(n^2 + 4*n + 3)*cosh(b*x + a)^4 + 3*(3*n^2 + 28*n + 25)*cosh(b*x + a)^2 + 2*n^2 + 24*n + 150)*sinh(b*x + a))*cosh(n*log(sinh(b*x + a))) + ((n^2 + 4*n + 3)*sinh(b*x + a)^5 + (10*(n^2 + 4*n + 3)*cosh(b*x + a)^2 + 3*n^2 + 28*n + 25)*sinh(b*x + a)^3 + (5*(n^2 + 4*n + 3)*cosh(b*x + a)^4 + 3*(3*n^2 + 28*n + 25)*cosh(b*x + a)^2 + 2*n^2 + 24*n + 150)*sinh(b*x + a))*sinh(n*log(sinh(b*x + a))))/((b*n^3 + 9*b*n^2 + 23*b*n + 15*b)*cosh(b*x + a)^6 - 3*(b*n^3 + 9*b*n^2 + 23*b*n + 15*b)*cosh(b*x + a)^4*sinh(b*x + a)^2 + 3*(b*n^3 + 9*b*n^2 + 23*b*n + 15*b)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (b*n^3 + 9*b*n^2 + 23*b*n + 15*b)*sinh(b*x + a)^6)","B",0
12,1,68,0,0.605064," ","integrate(cosh(b*x+a)^m*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right) \cosh\left(m \log\left(\cosh\left(b x + a\right)\right)\right) + \cosh\left(b x + a\right) \sinh\left(m \log\left(\cosh\left(b x + a\right)\right)\right)}{{\left(b m + b\right)} \cosh\left(b x + a\right)^{2} - {\left(b m + b\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"(cosh(b*x + a)*cosh(m*log(cosh(b*x + a))) + cosh(b*x + a)*sinh(m*log(cosh(b*x + a))))/((b*m + b)*cosh(b*x + a)^2 - (b*m + b)*sinh(b*x + a)^2)","B",0
13,1,189,0,0.425021," ","integrate(cosh(b*x+a)^m*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(m + 1\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(m + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(m + 9\right)} \cosh\left(b x + a\right)\right)} \cosh\left(m \log\left(\cosh\left(b x + a\right)\right)\right) + {\left({\left(m + 1\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(m + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(m + 9\right)} \cosh\left(b x + a\right)\right)} \sinh\left(m \log\left(\cosh\left(b x + a\right)\right)\right)}{4 \, {\left({\left(b m^{2} + 4 \, b m + 3 \, b\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(b m^{2} + 4 \, b m + 3 \, b\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(b m^{2} + 4 \, b m + 3 \, b\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/4*(((m + 1)*cosh(b*x + a)^3 + 3*(m + 1)*cosh(b*x + a)*sinh(b*x + a)^2 - (m + 9)*cosh(b*x + a))*cosh(m*log(cosh(b*x + a))) + ((m + 1)*cosh(b*x + a)^3 + 3*(m + 1)*cosh(b*x + a)*sinh(b*x + a)^2 - (m + 9)*cosh(b*x + a))*sinh(m*log(cosh(b*x + a))))/((b*m^2 + 4*b*m + 3*b)*cosh(b*x + a)^4 - 2*(b*m^2 + 4*b*m + 3*b)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (b*m^2 + 4*b*m + 3*b)*sinh(b*x + a)^4)","B",0
14,1,407,0,0.421934," ","integrate(cosh(b*x+a)^m*sinh(b*x+a)^5,x, algorithm=""fricas"")","\frac{{\left({\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right)^{5} + 5 \, {\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - {\left(3 \, m^{2} + 28 \, m + 25\right)} \cosh\left(b x + a\right)^{3} + {\left(10 \, {\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right)^{3} - 3 \, {\left(3 \, m^{2} + 28 \, m + 25\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(m^{2} + 12 \, m + 75\right)} \cosh\left(b x + a\right)\right)} \cosh\left(m \log\left(\cosh\left(b x + a\right)\right)\right) + {\left({\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right)^{5} + 5 \, {\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - {\left(3 \, m^{2} + 28 \, m + 25\right)} \cosh\left(b x + a\right)^{3} + {\left(10 \, {\left(m^{2} + 4 \, m + 3\right)} \cosh\left(b x + a\right)^{3} - 3 \, {\left(3 \, m^{2} + 28 \, m + 25\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(m^{2} + 12 \, m + 75\right)} \cosh\left(b x + a\right)\right)} \sinh\left(m \log\left(\cosh\left(b x + a\right)\right)\right)}{16 \, {\left({\left(b m^{3} + 9 \, b m^{2} + 23 \, b m + 15 \, b\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b m^{3} + 9 \, b m^{2} + 23 \, b m + 15 \, b\right)} \cosh\left(b x + a\right)^{4} \sinh\left(b x + a\right)^{2} + 3 \, {\left(b m^{3} + 9 \, b m^{2} + 23 \, b m + 15 \, b\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(b m^{3} + 9 \, b m^{2} + 23 \, b m + 15 \, b\right)} \sinh\left(b x + a\right)^{6}\right)}}"," ",0,"1/16*(((m^2 + 4*m + 3)*cosh(b*x + a)^5 + 5*(m^2 + 4*m + 3)*cosh(b*x + a)*sinh(b*x + a)^4 - (3*m^2 + 28*m + 25)*cosh(b*x + a)^3 + (10*(m^2 + 4*m + 3)*cosh(b*x + a)^3 - 3*(3*m^2 + 28*m + 25)*cosh(b*x + a))*sinh(b*x + a)^2 + 2*(m^2 + 12*m + 75)*cosh(b*x + a))*cosh(m*log(cosh(b*x + a))) + ((m^2 + 4*m + 3)*cosh(b*x + a)^5 + 5*(m^2 + 4*m + 3)*cosh(b*x + a)*sinh(b*x + a)^4 - (3*m^2 + 28*m + 25)*cosh(b*x + a)^3 + (10*(m^2 + 4*m + 3)*cosh(b*x + a)^3 - 3*(3*m^2 + 28*m + 25)*cosh(b*x + a))*sinh(b*x + a)^2 + 2*(m^2 + 12*m + 75)*cosh(b*x + a))*sinh(m*log(cosh(b*x + a))))/((b*m^3 + 9*b*m^2 + 23*b*m + 15*b)*cosh(b*x + a)^6 - 3*(b*m^3 + 9*b*m^2 + 23*b*m + 15*b)*cosh(b*x + a)^4*sinh(b*x + a)^2 + 3*(b*m^3 + 9*b*m^2 + 23*b*m + 15*b)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (b*m^3 + 9*b*m^2 + 23*b*m + 15*b)*sinh(b*x + a)^6)","B",0
15,1,40,0,0.381170," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - b x}{8 \, b}"," ",0,"1/8*(cosh(b*x + a)^3*sinh(b*x + a) + cosh(b*x + a)*sinh(b*x + a)^3 - b*x)/b","A",0
16,1,90,0,0.393188," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^4,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} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 6 \, b x + 3 \, {\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)}{96 \, b}"," ",0,"1/96*(3*cosh(b*x + a)*sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 6*b*x + 3*(cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a))/b","A",0
17,1,138,0,0.426472," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^6,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + 3 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(21 \, \cosh\left(b x + a\right)^{5} - 40 \, \cosh\left(b x + a\right)^{3} + 12 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 15 \, b x + 3 \, {\left(\cosh\left(b x + a\right)^{7} - 4 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{384 \, b}"," ",0,"1/384*(3*cosh(b*x + a)*sinh(b*x + a)^7 + 3*(7*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a)^5 + (21*cosh(b*x + a)^5 - 40*cosh(b*x + a)^3 + 12*cosh(b*x + a))*sinh(b*x + a)^3 - 15*b*x + 3*(cosh(b*x + a)^7 - 4*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a))/b","A",0
18,1,90,0,0.389133," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^2,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} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 6 \, b x + 3 \, {\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)}{96 \, b}"," ",0,"1/96*(3*cosh(b*x + a)*sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 - 6*b*x + 3*(cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a))/b","A",0
19,1,97,0,0.390434," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^4,x, algorithm=""fricas"")","\frac{7 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(7 \, \cosh\left(b x + a\right)^{5} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, b x + {\left(\cosh\left(b x + a\right)^{7} - 4 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)}{128 \, b}"," ",0,"1/128*(7*cosh(b*x + a)^3*sinh(b*x + a)^5 + cosh(b*x + a)*sinh(b*x + a)^7 + (7*cosh(b*x + a)^5 - 4*cosh(b*x + a))*sinh(b*x + a)^3 + 3*b*x + (cosh(b*x + a)^7 - 4*cosh(b*x + a)^3)*sinh(b*x + a))/b","A",0
20,1,197,0,0.436928," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^6,x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + 10 \, {\left(6 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + {\left(126 \, \cosh\left(b x + a\right)^{5} - 70 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 10 \, {\left(6 \, \cosh\left(b x + a\right)^{7} - 7 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 30 \, b x + 5 \, {\left(\cosh\left(b x + a\right)^{9} - 2 \, \cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 8 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{2560 \, b}"," ",0,"1/2560*(5*cosh(b*x + a)*sinh(b*x + a)^9 + 10*(6*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + (126*cosh(b*x + a)^5 - 70*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^5 + 10*(6*cosh(b*x + a)^7 - 7*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a)^3 - 30*b*x + 5*(cosh(b*x + a)^9 - 2*cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 8*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a))/b","A",0
21,1,138,0,0.388554," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + 3 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(21 \, \cosh\left(b x + a\right)^{5} + 40 \, \cosh\left(b x + a\right)^{3} + 12 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 15 \, b x + 3 \, {\left(\cosh\left(b x + a\right)^{7} + 4 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{384 \, b}"," ",0,"1/384*(3*cosh(b*x + a)*sinh(b*x + a)^7 + 3*(7*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a)^5 + (21*cosh(b*x + a)^5 + 40*cosh(b*x + a)^3 + 12*cosh(b*x + a))*sinh(b*x + a)^3 - 15*b*x + 3*(cosh(b*x + a)^7 + 4*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a))/b","A",0
22,1,195,0,0.394661," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^4,x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + 10 \, {\left(6 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + {\left(126 \, \cosh\left(b x + a\right)^{5} + 70 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 10 \, {\left(6 \, \cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 30 \, b x + 5 \, {\left(\cosh\left(b x + a\right)^{9} + 2 \, \cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} - 8 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{2560 \, b}"," ",0,"1/2560*(5*cosh(b*x + a)*sinh(b*x + a)^9 + 10*(6*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + (126*cosh(b*x + a)^5 + 70*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^5 + 10*(6*cosh(b*x + a)^7 + 7*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a)^3 + 30*b*x + 5*(cosh(b*x + a)^9 + 2*cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 - 8*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a))/b","A",0
23,1,179,0,0.385575," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^6,x, algorithm=""fricas"")","\frac{55 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{9} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + 18 \, {\left(11 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 18 \, {\left(11 \, \cosh\left(b x + a\right)^{7} - 7 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{5} + {\left(55 \, \cosh\left(b x + a\right)^{9} - 126 \, \cosh\left(b x + a\right)^{5} + 45 \, \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)^{11} - 6 \, \cosh\left(b x + a\right)^{7} + 15 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)}{6144 \, b}"," ",0,"1/6144*(55*cosh(b*x + a)^3*sinh(b*x + a)^9 + 3*cosh(b*x + a)*sinh(b*x + a)^11 + 18*(11*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^7 + 18*(11*cosh(b*x + a)^7 - 7*cosh(b*x + a)^3)*sinh(b*x + a)^5 + (55*cosh(b*x + a)^9 - 126*cosh(b*x + a)^5 + 45*cosh(b*x + a))*sinh(b*x + a)^3 - 30*b*x + 3*(cosh(b*x + a)^11 - 6*cosh(b*x + a)^7 + 15*cosh(b*x + a)^3)*sinh(b*x + a))/b","A",0
24,1,60,0,0.431603," ","integrate(csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) - \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*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) - log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
25,1,155,0,0.431626," ","integrate(csch(b*x+a)*sech(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
26,1,371,0,0.424048," ","integrate(csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)^{2}}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"(2*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*cosh(b*x + a)*sinh(b*x + a) + 2*sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
27,1,697,0,0.437271," ","integrate(csch(b*x+a)*sech(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} + 20 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 20 \, \cosh\left(b x + a\right)^{3} + 60 \, {\left(\cosh\left(b x + a\right)^{3} + \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} + 10 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\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} + 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,"1/3*(6*cosh(b*x + a)^5 + 30*cosh(b*x + a)*sinh(b*x + a)^4 + 6*sinh(b*x + a)^5 + 20*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 20*cosh(b*x + a)^3 + 60*(cosh(b*x + a)^3 + 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 + 10*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
28,1,1073,0,0.449590," ","integrate(csch(b*x+a)*sech(b*x+a)^5,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right)^{6} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, \sinh\left(b x + a\right)^{6} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 4\right)} \sinh\left(b x + a\right)^{4} + 8 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{4} + 24 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} + 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} + 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 8 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} + 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} + 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} + 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} + 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} + 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"(2*cosh(b*x + a)^6 + 12*cosh(b*x + a)*sinh(b*x + a)^5 + 2*sinh(b*x + a)^6 + 2*(15*cosh(b*x + a)^2 + 4)*sinh(b*x + a)^4 + 8*cosh(b*x + a)^4 + 8*(5*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a)^3 + 2*(15*cosh(b*x + a)^4 + 24*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 - (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 + 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 + 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 + 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 + 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(3*cosh(b*x + a)^5 + 8*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 + 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 + 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 + 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 + 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 + 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 + 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
29,1,103,0,0.409975," ","integrate(csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left({\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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*((cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + cosh(b*x + a) + 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
30,1,81,0,0.409403," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - b}"," ",0,"-4/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - b)","B",0
31,1,511,0,0.423446," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3,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} + 3 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right)}{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} + b \cosh\left(b x + a\right)^{4} + {\left(15 \, 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} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(15 \, 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} + 2 \, {\left(3 \, 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}"," ",0,"-(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 2*(15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 2*cosh(b*x + a)^3 + 6*(5*cosh(b*x + a)^3 + 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 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 3*(5*cosh(b*x + a)^4 + 2*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 3*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 + b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 + 6*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(3*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
32,1,230,0,0.398932," ","integrate(csch(b*x+a)^2*sech(b*x+a)^4,x, algorithm=""fricas"")","-\frac{16 \, {\left(3 \, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} + 2 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} + 20 \, b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{2} - 3 \, b \cosh\left(b x + a\right) + {\left(7 \, b \cosh\left(b x + a\right)^{6} + 10 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-16/3*(3*cosh(b*x + a) + sinh(b*x + a))/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 + 2*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 + 2*b*cosh(b*x + a))*sinh(b*x + a)^4 + 5*(7*b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^2)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 + 20*b*cosh(b*x + a)^3)*sinh(b*x + a)^2 - 3*b*cosh(b*x + a) + (7*b*cosh(b*x + a)^6 + 10*b*cosh(b*x + a)^4 - b)*sinh(b*x + a))","B",0
33,1,1183,0,0.436508," ","integrate(csch(b*x+a)^2*sech(b*x+a)^5,x, algorithm=""fricas"")","-\frac{15 \, \cosh\left(b x + a\right)^{9} + 135 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{8} + 15 \, \sinh\left(b x + a\right)^{9} + 20 \, {\left(27 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{7} + 40 \, \cosh\left(b x + a\right)^{7} + 140 \, {\left(9 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 6 \, {\left(315 \, \cosh\left(b x + a\right)^{4} + 140 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{5} + 18 \, \cosh\left(b x + a\right)^{5} + 10 \, {\left(189 \, \cosh\left(b x + a\right)^{5} + 140 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 20 \, {\left(63 \, \cosh\left(b x + a\right)^{6} + 70 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{3} + 40 \, \cosh\left(b x + a\right)^{3} + 60 \, {\left(9 \, \cosh\left(b x + a\right)^{7} + 14 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{8} + 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} + 42 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 2 \, \cosh\left(b x + a\right)^{6} + 12 \, {\left(21 \, \cosh\left(b x + a\right)^{5} + 14 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} + 105 \, \cosh\left(b x + a\right)^{4} + 15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} + 21 \, \cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{8} + 28 \, \cosh\left(b x + a\right)^{6} + 10 \, \cosh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 3 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} + 12 \, \cosh\left(b x + a\right)^{7} + 6 \, \cosh\left(b x + a\right)^{5} - 4 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 5 \, {\left(27 \, \cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{6} + 18 \, \cosh\left(b x + a\right)^{4} + 24 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 15 \, \cosh\left(b x + a\right)}{4 \, {\left(b \cosh\left(b x + a\right)^{10} + 10 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + b \sinh\left(b x + a\right)^{10} + 3 \, b \cosh\left(b x + a\right)^{8} + 3 \, {\left(15 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{8} + 24 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, b \cosh\left(b x + a\right)^{6} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{4} + 42 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 12 \, {\left(21 \, b \cosh\left(b x + a\right)^{5} + 14 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} - 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{6} + 105 \, b \cosh\left(b x + a\right)^{4} + 15 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{7} + 21 \, b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right)^{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(15 \, b \cosh\left(b x + a\right)^{8} + 28 \, b \cosh\left(b x + a\right)^{6} + 10 \, b \cosh\left(b x + a\right)^{4} - 4 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{9} + 12 \, b \cosh\left(b x + a\right)^{7} + 6 \, b \cosh\left(b x + a\right)^{5} - 4 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - b\right)}}"," ",0,"-1/4*(15*cosh(b*x + a)^9 + 135*cosh(b*x + a)*sinh(b*x + a)^8 + 15*sinh(b*x + a)^9 + 20*(27*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^7 + 40*cosh(b*x + a)^7 + 140*(9*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^6 + 6*(315*cosh(b*x + a)^4 + 140*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^5 + 18*cosh(b*x + a)^5 + 10*(189*cosh(b*x + a)^5 + 140*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^4 + 20*(63*cosh(b*x + a)^6 + 70*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^3 + 40*cosh(b*x + a)^3 + 60*(9*cosh(b*x + a)^7 + 14*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^2 + 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + 3*(15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^8 + 3*cosh(b*x + a)^8 + 24*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 + 42*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 2*cosh(b*x + a)^6 + 12*(21*cosh(b*x + a)^5 + 14*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 + 105*cosh(b*x + a)^4 + 15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 + 21*cosh(b*x + a)^5 + 5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + 3*(15*cosh(b*x + a)^8 + 28*cosh(b*x + a)^6 + 10*cosh(b*x + a)^4 - 4*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 3*cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 + 12*cosh(b*x + a)^7 + 6*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a) - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 5*(27*cosh(b*x + a)^8 + 56*cosh(b*x + a)^6 + 18*cosh(b*x + a)^4 + 24*cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 15*cosh(b*x + a))/(b*cosh(b*x + a)^10 + 10*b*cosh(b*x + a)*sinh(b*x + a)^9 + b*sinh(b*x + a)^10 + 3*b*cosh(b*x + a)^8 + 3*(15*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^8 + 24*(5*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^7 + 2*b*cosh(b*x + a)^6 + 2*(105*b*cosh(b*x + a)^4 + 42*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 12*(21*b*cosh(b*x + a)^5 + 14*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^5 - 2*b*cosh(b*x + a)^4 + 2*(105*b*cosh(b*x + a)^6 + 105*b*cosh(b*x + a)^4 + 15*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 8*(15*b*cosh(b*x + a)^7 + 21*b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 - 3*b*cosh(b*x + a)^2 + 3*(15*b*cosh(b*x + a)^8 + 28*b*cosh(b*x + a)^6 + 10*b*cosh(b*x + a)^4 - 4*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(5*b*cosh(b*x + a)^9 + 12*b*cosh(b*x + a)^7 + 6*b*cosh(b*x + a)^5 - 4*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a) - b)","B",0
34,1,379,0,0.433726," ","integrate(csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)^{2}}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(2*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*cosh(b*x + a)*sinh(b*x + a) + 2*sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
35,1,709,0,0.388905," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2,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} - 1\right)} \sinh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)^{3} + 12 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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} - 2 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)}{2 \, {\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} - b \cosh\left(b x + a\right)^{4} + {\left(15 \, 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} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(15 \, 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} + 2 \, {\left(3 \, 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,"-1/2*(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 - 1)*sinh(b*x + a)^3 - 4*cosh(b*x + a)^3 + 12*(5*cosh(b*x + a)^3 - 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 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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 - 2*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 - b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 - 6*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(3*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
36,1,774,0,0.423483," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \cosh\left(b x + a\right)^{6} + 40 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 30 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, \sinh\left(b x + a\right)^{6} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{4} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{8} + 56 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + b}"," ",0,"-2*(2*cosh(b*x + a)^6 + 40*cosh(b*x + a)^3*sinh(b*x + a)^3 + 30*cosh(b*x + a)^2*sinh(b*x + a)^4 + 12*cosh(b*x + a)*sinh(b*x + a)^5 + 2*sinh(b*x + a)^6 + 2*(15*cosh(b*x + a)^4 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 - (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(3*cosh(b*x + a)^5 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^8 + 56*b*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 2*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - b*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*cosh(b*x + a)^6 - 3*b*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - b*cosh(b*x + a)^3)*sinh(b*x + a) + b)","B",0
37,1,1573,0,0.429356," ","integrate(csch(b*x+a)^3*sech(b*x+a)^4,x, algorithm=""fricas"")","-\frac{30 \, \cosh\left(b x + a\right)^{9} + 270 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{8} + 30 \, \sinh\left(b x + a\right)^{9} + 40 \, {\left(27 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{7} + 40 \, \cosh\left(b x + a\right)^{7} + 280 \, {\left(9 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(945 \, \cosh\left(b x + a\right)^{4} + 210 \, \cosh\left(b x + a\right)^{2} - 11\right)} \sinh\left(b x + a\right)^{5} - 44 \, \cosh\left(b x + a\right)^{5} + 20 \, {\left(189 \, \cosh\left(b x + a\right)^{5} + 70 \, \cosh\left(b x + a\right)^{3} - 11 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 40 \, {\left(63 \, \cosh\left(b x + a\right)^{6} + 35 \, \cosh\left(b x + a\right)^{4} - 11 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 40 \, \cosh\left(b x + a\right)^{3} + 40 \, {\left(27 \, \cosh\left(b x + a\right)^{7} + 21 \, \cosh\left(b x + a\right)^{5} - 11 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + {\left(45 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{8} + \cosh\left(b x + a\right)^{8} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} + 14 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 2 \, \cosh\left(b x + a\right)^{6} + 4 \, {\left(63 \, \cosh\left(b x + a\right)^{5} + 14 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} + 35 \, \cosh\left(b x + a\right)^{4} - 15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(45 \, \cosh\left(b x + a\right)^{8} + 28 \, \cosh\left(b x + a\right)^{6} - 30 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} + 4 \, \cosh\left(b x + a\right)^{7} - 6 \, \cosh\left(b x + a\right)^{5} - 4 \, \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) + 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + {\left(45 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{8} + \cosh\left(b x + a\right)^{8} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} + 14 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 2 \, \cosh\left(b x + a\right)^{6} + 4 \, {\left(63 \, \cosh\left(b x + a\right)^{5} + 14 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} + 35 \, \cosh\left(b x + a\right)^{4} - 15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(45 \, \cosh\left(b x + a\right)^{8} + 28 \, \cosh\left(b x + a\right)^{6} - 30 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} + 4 \, \cosh\left(b x + a\right)^{7} - 6 \, \cosh\left(b x + a\right)^{5} - 4 \, \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) + 10 \, {\left(27 \, \cosh\left(b x + a\right)^{8} + 28 \, \cosh\left(b x + a\right)^{6} - 22 \, \cosh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 30 \, \cosh\left(b x + a\right)}{6 \, {\left(b \cosh\left(b x + a\right)^{10} + 10 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + b \sinh\left(b x + a\right)^{10} + b \cosh\left(b x + a\right)^{8} + {\left(45 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{8} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} - 2 \, b \cosh\left(b x + a\right)^{6} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{4} + 14 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(63 \, b \cosh\left(b x + a\right)^{5} + 14 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} - 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{6} + 35 \, b \cosh\left(b x + a\right)^{4} - 15 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right)^{5} - 5 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)^{2} + {\left(45 \, b \cosh\left(b x + a\right)^{8} + 28 \, b \cosh\left(b x + a\right)^{6} - 30 \, b \cosh\left(b x + a\right)^{4} - 12 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{9} + 4 \, b \cosh\left(b x + a\right)^{7} - 6 \, b \cosh\left(b x + a\right)^{5} - 4 \, 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*(30*cosh(b*x + a)^9 + 270*cosh(b*x + a)*sinh(b*x + a)^8 + 30*sinh(b*x + a)^9 + 40*(27*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^7 + 40*cosh(b*x + a)^7 + 280*(9*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^6 + 4*(945*cosh(b*x + a)^4 + 210*cosh(b*x + a)^2 - 11)*sinh(b*x + a)^5 - 44*cosh(b*x + a)^5 + 20*(189*cosh(b*x + a)^5 + 70*cosh(b*x + a)^3 - 11*cosh(b*x + a))*sinh(b*x + a)^4 + 40*(63*cosh(b*x + a)^6 + 35*cosh(b*x + a)^4 - 11*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 40*cosh(b*x + a)^3 + 40*(27*cosh(b*x + a)^7 + 21*cosh(b*x + a)^5 - 11*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 - 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + (45*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^8 + cosh(b*x + a)^8 + 8*(15*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 + 14*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 2*cosh(b*x + a)^6 + 4*(63*cosh(b*x + a)^5 + 14*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 + 35*cosh(b*x + a)^4 - 15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 + 7*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (45*cosh(b*x + a)^8 + 28*cosh(b*x + a)^6 - 30*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 + 4*cosh(b*x + a)^7 - 6*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + (45*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^8 + cosh(b*x + a)^8 + 8*(15*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 + 14*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 2*cosh(b*x + a)^6 + 4*(63*cosh(b*x + a)^5 + 14*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 + 35*cosh(b*x + a)^4 - 15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 + 7*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (45*cosh(b*x + a)^8 + 28*cosh(b*x + a)^6 - 30*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 + 4*cosh(b*x + a)^7 - 6*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 10*(27*cosh(b*x + a)^8 + 28*cosh(b*x + a)^6 - 22*cosh(b*x + a)^4 + 12*cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 30*cosh(b*x + a))/(b*cosh(b*x + a)^10 + 10*b*cosh(b*x + a)*sinh(b*x + a)^9 + b*sinh(b*x + a)^10 + b*cosh(b*x + a)^8 + (45*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^8 + 8*(15*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^7 - 2*b*cosh(b*x + a)^6 + 2*(105*b*cosh(b*x + a)^4 + 14*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 4*(63*b*cosh(b*x + a)^5 + 14*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 - 2*b*cosh(b*x + a)^4 + 2*(105*b*cosh(b*x + a)^6 + 35*b*cosh(b*x + a)^4 - 15*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 8*(15*b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)^5 - 5*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 + b*cosh(b*x + a)^2 + (45*b*cosh(b*x + a)^8 + 28*b*cosh(b*x + a)^6 - 30*b*cosh(b*x + a)^4 - 12*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 2*(5*b*cosh(b*x + a)^9 + 4*b*cosh(b*x + a)^7 - 6*b*cosh(b*x + a)^5 - 4*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
38,1,2103,0,0.415780," ","integrate(csch(b*x+a)^3*sech(b*x+a)^5,x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(b x + a\right)^{10} + 60 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + 6 \, \sinh\left(b x + a\right)^{10} + 6 \, {\left(45 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{8} + 12 \, \cosh\left(b x + a\right)^{8} + 48 \, {\left(15 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(315 \, \cosh\left(b x + a\right)^{4} + 84 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 24 \, {\left(63 \, \cosh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 12 \, {\left(105 \, \cosh\left(b x + a\right)^{6} + 70 \, \cosh\left(b x + a\right)^{4} - 5 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{4} + 16 \, {\left(45 \, \cosh\left(b x + a\right)^{7} + 42 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 6 \, {\left(45 \, \cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 6 \, \cosh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{12} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + \sinh\left(b x + a\right)^{12} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{10} + 2 \, \cosh\left(b x + a\right)^{10} + 20 \, {\left(11 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + {\left(495 \, \cosh\left(b x + a\right)^{4} + 90 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - \cosh\left(b x + a\right)^{8} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{5} + 30 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(231 \, \cosh\left(b x + a\right)^{6} + 105 \, \cosh\left(b x + a\right)^{4} - 7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{7} + 63 \, \cosh\left(b x + a\right)^{5} - 7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(495 \, \cosh\left(b x + a\right)^{8} + 420 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} - 60 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(55 \, \cosh\left(b x + a\right)^{9} + 60 \, \cosh\left(b x + a\right)^{7} - 14 \, \cosh\left(b x + a\right)^{5} - 20 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{10} + 45 \, \cosh\left(b x + a\right)^{8} - 14 \, \cosh\left(b x + a\right)^{6} - 30 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{11} + 5 \, \cosh\left(b x + a\right)^{9} - 2 \, \cosh\left(b x + a\right)^{7} - 6 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 3 \, {\left(\cosh\left(b x + a\right)^{12} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + \sinh\left(b x + a\right)^{12} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{10} + 2 \, \cosh\left(b x + a\right)^{10} + 20 \, {\left(11 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + {\left(495 \, \cosh\left(b x + a\right)^{4} + 90 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - \cosh\left(b x + a\right)^{8} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{5} + 30 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(231 \, \cosh\left(b x + a\right)^{6} + 105 \, \cosh\left(b x + a\right)^{4} - 7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{7} + 63 \, \cosh\left(b x + a\right)^{5} - 7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(495 \, \cosh\left(b x + a\right)^{8} + 420 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} - 60 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(55 \, \cosh\left(b x + a\right)^{9} + 60 \, \cosh\left(b x + a\right)^{7} - 14 \, \cosh\left(b x + a\right)^{5} - 20 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{10} + 45 \, \cosh\left(b x + a\right)^{8} - 14 \, \cosh\left(b x + a\right)^{6} - 30 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{11} + 5 \, \cosh\left(b x + a\right)^{9} - 2 \, \cosh\left(b x + a\right)^{7} - 6 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 12 \, {\left(5 \, \cosh\left(b x + a\right)^{9} + 8 \, \cosh\left(b x + a\right)^{7} - 2 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{12} + 12 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + b \sinh\left(b x + a\right)^{12} + 2 \, b \cosh\left(b x + a\right)^{10} + 2 \, {\left(33 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{10} + 20 \, {\left(11 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} - b \cosh\left(b x + a\right)^{8} + {\left(495 \, b \cosh\left(b x + a\right)^{4} + 90 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{8} + 8 \, {\left(99 \, b \cosh\left(b x + a\right)^{5} + 30 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} - 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(231 \, b \cosh\left(b x + a\right)^{6} + 105 \, b \cosh\left(b x + a\right)^{4} - 7 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(99 \, b \cosh\left(b x + a\right)^{7} + 63 \, b \cosh\left(b x + a\right)^{5} - 7 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)^{4} + {\left(495 \, b \cosh\left(b x + a\right)^{8} + 420 \, b \cosh\left(b x + a\right)^{6} - 70 \, b \cosh\left(b x + a\right)^{4} - 60 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(55 \, b \cosh\left(b x + a\right)^{9} + 60 \, b \cosh\left(b x + a\right)^{7} - 14 \, b \cosh\left(b x + a\right)^{5} - 20 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(33 \, b \cosh\left(b x + a\right)^{10} + 45 \, b \cosh\left(b x + a\right)^{8} - 14 \, b \cosh\left(b x + a\right)^{6} - 30 \, b \cosh\left(b x + a\right)^{4} - 3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(3 \, b \cosh\left(b x + a\right)^{11} + 5 \, b \cosh\left(b x + a\right)^{9} - 2 \, b \cosh\left(b x + a\right)^{7} - 6 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(6*cosh(b*x + a)^10 + 60*cosh(b*x + a)*sinh(b*x + a)^9 + 6*sinh(b*x + a)^10 + 6*(45*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^8 + 12*cosh(b*x + a)^8 + 48*(15*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^7 + 4*(315*cosh(b*x + a)^4 + 84*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 24*(63*cosh(b*x + a)^5 + 28*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^5 + 12*(105*cosh(b*x + a)^6 + 70*cosh(b*x + a)^4 - 5*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 12*cosh(b*x + a)^4 + 16*(45*cosh(b*x + a)^7 + 42*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 6*(45*cosh(b*x + a)^8 + 56*cosh(b*x + a)^6 - 10*cosh(b*x + a)^4 + 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 6*cosh(b*x + a)^2 - 3*(cosh(b*x + a)^12 + 12*cosh(b*x + a)*sinh(b*x + a)^11 + sinh(b*x + a)^12 + 2*(33*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^10 + 2*cosh(b*x + a)^10 + 20*(11*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^9 + (495*cosh(b*x + a)^4 + 90*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - cosh(b*x + a)^8 + 8*(99*cosh(b*x + a)^5 + 30*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 4*(231*cosh(b*x + a)^6 + 105*cosh(b*x + a)^4 - 7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(99*cosh(b*x + a)^7 + 63*cosh(b*x + a)^5 - 7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + (495*cosh(b*x + a)^8 + 420*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 - 60*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(55*cosh(b*x + a)^9 + 60*cosh(b*x + a)^7 - 14*cosh(b*x + a)^5 - 20*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + 2*(33*cosh(b*x + a)^10 + 45*cosh(b*x + a)^8 - 14*cosh(b*x + a)^6 - 30*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(3*cosh(b*x + a)^11 + 5*cosh(b*x + a)^9 - 2*cosh(b*x + a)^7 - 6*cosh(b*x + a)^5 - cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 3*(cosh(b*x + a)^12 + 12*cosh(b*x + a)*sinh(b*x + a)^11 + sinh(b*x + a)^12 + 2*(33*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^10 + 2*cosh(b*x + a)^10 + 20*(11*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^9 + (495*cosh(b*x + a)^4 + 90*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - cosh(b*x + a)^8 + 8*(99*cosh(b*x + a)^5 + 30*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 4*(231*cosh(b*x + a)^6 + 105*cosh(b*x + a)^4 - 7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(99*cosh(b*x + a)^7 + 63*cosh(b*x + a)^5 - 7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + (495*cosh(b*x + a)^8 + 420*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 - 60*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(55*cosh(b*x + a)^9 + 60*cosh(b*x + a)^7 - 14*cosh(b*x + a)^5 - 20*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + 2*(33*cosh(b*x + a)^10 + 45*cosh(b*x + a)^8 - 14*cosh(b*x + a)^6 - 30*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(3*cosh(b*x + a)^11 + 5*cosh(b*x + a)^9 - 2*cosh(b*x + a)^7 - 6*cosh(b*x + a)^5 - cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 12*(5*cosh(b*x + a)^9 + 8*cosh(b*x + a)^7 - 2*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^12 + 12*b*cosh(b*x + a)*sinh(b*x + a)^11 + b*sinh(b*x + a)^12 + 2*b*cosh(b*x + a)^10 + 2*(33*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^10 + 20*(11*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^9 - b*cosh(b*x + a)^8 + (495*b*cosh(b*x + a)^4 + 90*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^8 + 8*(99*b*cosh(b*x + a)^5 + 30*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^7 - 4*b*cosh(b*x + a)^6 + 4*(231*b*cosh(b*x + a)^6 + 105*b*cosh(b*x + a)^4 - 7*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 8*(99*b*cosh(b*x + a)^7 + 63*b*cosh(b*x + a)^5 - 7*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 - b*cosh(b*x + a)^4 + (495*b*cosh(b*x + a)^8 + 420*b*cosh(b*x + a)^6 - 70*b*cosh(b*x + a)^4 - 60*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 4*(55*b*cosh(b*x + a)^9 + 60*b*cosh(b*x + a)^7 - 14*b*cosh(b*x + a)^5 - 20*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 + 2*b*cosh(b*x + a)^2 + 2*(33*b*cosh(b*x + a)^10 + 45*b*cosh(b*x + a)^8 - 14*b*cosh(b*x + a)^6 - 30*b*cosh(b*x + a)^4 - 3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(3*b*cosh(b*x + a)^11 + 5*b*cosh(b*x + a)^9 - 2*b*cosh(b*x + a)^7 - 6*b*cosh(b*x + a)^5 - b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
39,1,515,0,0.429741," ","integrate(csch(b*x+a)^4*sech(b*x+a),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{5} + 10 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 10 \, \cosh\left(b x + a\right)^{3} + 30 \, {\left(\cosh\left(b x + a\right)^{3} - \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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 10 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right)\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} - 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,"2/3*(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 10*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 10*cosh(b*x + a)^3 + 30*(cosh(b*x + a)^3 - 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)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 3*(5*cosh(b*x + a)^4 - 10*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 3*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
40,1,229,0,0.386226," ","integrate(csch(b*x+a)^4*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{16 \, {\left(\cosh\left(b x + a\right) + 3 \, \sinh\left(b x + a\right)\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} - 2 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} - 2 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{4} - 4 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} - 20 \, b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{2} + b \cosh\left(b x + a\right) + {\left(7 \, b \cosh\left(b x + a\right)^{6} - 10 \, b \cosh\left(b x + a\right)^{4} + 3 \, b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-16/3*(cosh(b*x + a) + 3*sinh(b*x + a))/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 - 2*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 - 2*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 - 2*b*cosh(b*x + a))*sinh(b*x + a)^4 + 5*(7*b*cosh(b*x + a)^4 - 4*b*cosh(b*x + a)^2)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 - 20*b*cosh(b*x + a)^3)*sinh(b*x + a)^2 + b*cosh(b*x + a) + (7*b*cosh(b*x + a)^6 - 10*b*cosh(b*x + a)^4 + 3*b)*sinh(b*x + a))","B",0
41,1,1176,0,0.440268," ","integrate(csch(b*x+a)^4*sech(b*x+a)^3,x, algorithm=""fricas"")","\frac{15 \, \cosh\left(b x + a\right)^{9} + 135 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{8} + 15 \, \sinh\left(b x + a\right)^{9} + 20 \, {\left(27 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{7} - 20 \, \cosh\left(b x + a\right)^{7} + 140 \, {\left(9 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 2 \, {\left(945 \, \cosh\left(b x + a\right)^{4} - 210 \, \cosh\left(b x + a\right)^{2} - 11\right)} \sinh\left(b x + a\right)^{5} - 22 \, \cosh\left(b x + a\right)^{5} + 10 \, {\left(189 \, \cosh\left(b x + a\right)^{5} - 70 \, \cosh\left(b x + a\right)^{3} - 11 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 20 \, {\left(63 \, \cosh\left(b x + a\right)^{6} - 35 \, \cosh\left(b x + a\right)^{4} - 11 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 20 \, \cosh\left(b x + a\right)^{3} + 20 \, {\left(27 \, \cosh\left(b x + a\right)^{7} - 21 \, \cosh\left(b x + a\right)^{5} - 11 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + {\left(45 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - \cosh\left(b x + a\right)^{8} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} - 14 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 2 \, \cosh\left(b x + a\right)^{6} + 4 \, {\left(63 \, \cosh\left(b x + a\right)^{5} - 14 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} - 35 \, \cosh\left(b x + a\right)^{4} - 15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} - 7 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(45 \, \cosh\left(b x + a\right)^{8} - 28 \, \cosh\left(b x + a\right)^{6} - 30 \, \cosh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} - 4 \, \cosh\left(b x + a\right)^{7} - 6 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 5 \, {\left(27 \, \cosh\left(b x + a\right)^{8} - 28 \, \cosh\left(b x + a\right)^{6} - 22 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 15 \, \cosh\left(b x + a\right)}{3 \, {\left(b \cosh\left(b x + a\right)^{10} + 10 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + b \sinh\left(b x + a\right)^{10} - b \cosh\left(b x + a\right)^{8} + {\left(45 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{8} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} - 2 \, b \cosh\left(b x + a\right)^{6} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{4} - 14 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(63 \, b \cosh\left(b x + a\right)^{5} - 14 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{6} - 35 \, b \cosh\left(b x + a\right)^{4} - 15 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{7} - 7 \, b \cosh\left(b x + a\right)^{5} - 5 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)^{2} + {\left(45 \, b \cosh\left(b x + a\right)^{8} - 28 \, b \cosh\left(b x + a\right)^{6} - 30 \, b \cosh\left(b x + a\right)^{4} + 12 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{9} - 4 \, b \cosh\left(b x + a\right)^{7} - 6 \, b \cosh\left(b x + a\right)^{5} + 4 \, 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,"1/3*(15*cosh(b*x + a)^9 + 135*cosh(b*x + a)*sinh(b*x + a)^8 + 15*sinh(b*x + a)^9 + 20*(27*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^7 - 20*cosh(b*x + a)^7 + 140*(9*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^6 + 2*(945*cosh(b*x + a)^4 - 210*cosh(b*x + a)^2 - 11)*sinh(b*x + a)^5 - 22*cosh(b*x + a)^5 + 10*(189*cosh(b*x + a)^5 - 70*cosh(b*x + a)^3 - 11*cosh(b*x + a))*sinh(b*x + a)^4 + 20*(63*cosh(b*x + a)^6 - 35*cosh(b*x + a)^4 - 11*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 20*cosh(b*x + a)^3 + 20*(27*cosh(b*x + a)^7 - 21*cosh(b*x + a)^5 - 11*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^2 + 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + (45*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - cosh(b*x + a)^8 + 8*(15*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 - 14*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 2*cosh(b*x + a)^6 + 4*(63*cosh(b*x + a)^5 - 14*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 - 35*cosh(b*x + a)^4 - 15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 - 7*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (45*cosh(b*x + a)^8 - 28*cosh(b*x + a)^6 - 30*cosh(b*x + a)^4 + 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 - 4*cosh(b*x + a)^7 - 6*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 5*(27*cosh(b*x + a)^8 - 28*cosh(b*x + a)^6 - 22*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 15*cosh(b*x + a))/(b*cosh(b*x + a)^10 + 10*b*cosh(b*x + a)*sinh(b*x + a)^9 + b*sinh(b*x + a)^10 - b*cosh(b*x + a)^8 + (45*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^8 + 8*(15*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^7 - 2*b*cosh(b*x + a)^6 + 2*(105*b*cosh(b*x + a)^4 - 14*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 4*(63*b*cosh(b*x + a)^5 - 14*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 2*b*cosh(b*x + a)^4 + 2*(105*b*cosh(b*x + a)^6 - 35*b*cosh(b*x + a)^4 - 15*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^4 + 8*(15*b*cosh(b*x + a)^7 - 7*b*cosh(b*x + a)^5 - 5*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^3 + b*cosh(b*x + a)^2 + (45*b*cosh(b*x + a)^8 - 28*b*cosh(b*x + a)^6 - 30*b*cosh(b*x + a)^4 + 12*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 2*(5*b*cosh(b*x + a)^9 - 4*b*cosh(b*x + a)^7 - 6*b*cosh(b*x + a)^5 + 4*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) - b)","B",0
42,1,330,0,0.406873," ","integrate(csch(b*x+a)^4*sech(b*x+a)^4,x, algorithm=""fricas"")","-\frac{64 \, {\left(\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}\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{10} + 120 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{7} + 45 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{8} + 10 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + b \sinh\left(b x + a\right)^{10} - 3 \, b \cosh\left(b x + a\right)^{6} + 3 \, {\left(70 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)^{6} + 18 \, {\left(14 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 15 \, {\left(14 \, b \cosh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{4} + 60 \, {\left(2 \, b \cosh\left(b x + a\right)^{7} - b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{3} + 2 \, b \cosh\left(b x + a\right)^{2} + {\left(45 \, b \cosh\left(b x + a\right)^{8} - 45 \, b \cosh\left(b x + a\right)^{4} + 2 \, b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{9} - 9 \, b \cosh\left(b x + a\right)^{5} + 4 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-64/3*(cosh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)/(b*cosh(b*x + a)^10 + 120*b*cosh(b*x + a)^3*sinh(b*x + a)^7 + 45*b*cosh(b*x + a)^2*sinh(b*x + a)^8 + 10*b*cosh(b*x + a)*sinh(b*x + a)^9 + b*sinh(b*x + a)^10 - 3*b*cosh(b*x + a)^6 + 3*(70*b*cosh(b*x + a)^4 - b)*sinh(b*x + a)^6 + 18*(14*b*cosh(b*x + a)^5 - b*cosh(b*x + a))*sinh(b*x + a)^5 + 15*(14*b*cosh(b*x + a)^6 - 3*b*cosh(b*x + a)^2)*sinh(b*x + a)^4 + 60*(2*b*cosh(b*x + a)^7 - b*cosh(b*x + a)^3)*sinh(b*x + a)^3 + 2*b*cosh(b*x + a)^2 + (45*b*cosh(b*x + a)^8 - 45*b*cosh(b*x + a)^4 + 2*b)*sinh(b*x + a)^2 + 2*(5*b*cosh(b*x + a)^9 - 9*b*cosh(b*x + a)^5 + 4*b*cosh(b*x + a))*sinh(b*x + a))","B",0
43,1,2092,0,0.423912," ","integrate(csch(b*x+a)^4*sech(b*x+a)^5,x, algorithm=""fricas"")","\frac{105 \, \cosh\left(b x + a\right)^{13} + 1365 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{12} + 105 \, \sinh\left(b x + a\right)^{13} + 70 \, {\left(117 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{11} + 70 \, \cosh\left(b x + a\right)^{11} + 770 \, {\left(39 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{10} + 7 \, {\left(10725 \, \cosh\left(b x + a\right)^{4} + 550 \, \cosh\left(b x + a\right)^{2} - 47\right)} \sinh\left(b x + a\right)^{9} - 329 \, \cosh\left(b x + a\right)^{9} + 21 \, {\left(6435 \, \cosh\left(b x + a\right)^{5} + 550 \, \cosh\left(b x + a\right)^{3} - 141 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{8} + 12 \, {\left(15015 \, \cosh\left(b x + a\right)^{6} + 1925 \, \cosh\left(b x + a\right)^{4} - 987 \, \cosh\left(b x + a\right)^{2} - 17\right)} \sinh\left(b x + a\right)^{7} - 204 \, \cosh\left(b x + a\right)^{7} + 84 \, {\left(2145 \, \cosh\left(b x + a\right)^{7} + 385 \, \cosh\left(b x + a\right)^{5} - 329 \, \cosh\left(b x + a\right)^{3} - 17 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 7 \, {\left(19305 \, \cosh\left(b x + a\right)^{8} + 4620 \, \cosh\left(b x + a\right)^{6} - 5922 \, \cosh\left(b x + a\right)^{4} - 612 \, \cosh\left(b x + a\right)^{2} - 47\right)} \sinh\left(b x + a\right)^{5} - 329 \, \cosh\left(b x + a\right)^{5} + 7 \, {\left(10725 \, \cosh\left(b x + a\right)^{9} + 3300 \, \cosh\left(b x + a\right)^{7} - 5922 \, \cosh\left(b x + a\right)^{5} - 1020 \, \cosh\left(b x + a\right)^{3} - 235 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 14 \, {\left(2145 \, \cosh\left(b x + a\right)^{10} + 825 \, \cosh\left(b x + a\right)^{8} - 1974 \, \cosh\left(b x + a\right)^{6} - 510 \, \cosh\left(b x + a\right)^{4} - 235 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{3} + 70 \, \cosh\left(b x + a\right)^{3} + 14 \, {\left(585 \, \cosh\left(b x + a\right)^{11} + 275 \, \cosh\left(b x + a\right)^{9} - 846 \, \cosh\left(b x + a\right)^{7} - 306 \, \cosh\left(b x + a\right)^{5} - 235 \, \cosh\left(b x + a\right)^{3} + 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 105 \, {\left(\cosh\left(b x + a\right)^{14} + 14 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + \sinh\left(b x + a\right)^{14} + {\left(91 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{12} + \cosh\left(b x + a\right)^{12} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + {\left(1001 \, \cosh\left(b x + a\right)^{4} + 66 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{10} - 3 \, \cosh\left(b x + a\right)^{10} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{5} + 110 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{6} + 165 \, \cosh\left(b x + a\right)^{4} - 45 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(143 \, \cosh\left(b x + a\right)^{7} + 33 \, \cosh\left(b x + a\right)^{5} - 15 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{8} + 308 \, \cosh\left(b x + a\right)^{6} - 210 \, \cosh\left(b x + a\right)^{4} - 28 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 3 \, \cosh\left(b x + a\right)^{6} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{9} + 396 \, \cosh\left(b x + a\right)^{7} - 378 \, \cosh\left(b x + a\right)^{5} - 84 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(1001 \, \cosh\left(b x + a\right)^{10} + 495 \, \cosh\left(b x + a\right)^{8} - 630 \, \cosh\left(b x + a\right)^{6} - 210 \, \cosh\left(b x + a\right)^{4} + 45 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{11} + 55 \, \cosh\left(b x + a\right)^{9} - 90 \, \cosh\left(b x + a\right)^{7} - 42 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(91 \, \cosh\left(b x + a\right)^{12} + 66 \, \cosh\left(b x + a\right)^{10} - 135 \, \cosh\left(b x + a\right)^{8} - 84 \, \cosh\left(b x + a\right)^{6} + 45 \, \cosh\left(b x + a\right)^{4} + 18 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(7 \, \cosh\left(b x + a\right)^{13} + 6 \, \cosh\left(b x + a\right)^{11} - 15 \, \cosh\left(b x + a\right)^{9} - 12 \, \cosh\left(b x + a\right)^{7} + 9 \, \cosh\left(b x + a\right)^{5} + 6 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 7 \, {\left(195 \, \cosh\left(b x + a\right)^{12} + 110 \, \cosh\left(b x + a\right)^{10} - 423 \, \cosh\left(b x + a\right)^{8} - 204 \, \cosh\left(b x + a\right)^{6} - 235 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 15\right)} \sinh\left(b x + a\right) + 105 \, \cosh\left(b x + a\right)}{12 \, {\left(b \cosh\left(b x + a\right)^{14} + 14 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + b \sinh\left(b x + a\right)^{14} + b \cosh\left(b x + a\right)^{12} + {\left(91 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{12} + 4 \, {\left(91 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} - 3 \, b \cosh\left(b x + a\right)^{10} + {\left(1001 \, b \cosh\left(b x + a\right)^{4} + 66 \, b \cosh\left(b x + a\right)^{2} - 3 \, b\right)} \sinh\left(b x + a\right)^{10} + 2 \, {\left(1001 \, b \cosh\left(b x + a\right)^{5} + 110 \, b \cosh\left(b x + a\right)^{3} - 15 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} - 3 \, b \cosh\left(b x + a\right)^{8} + 3 \, {\left(1001 \, b \cosh\left(b x + a\right)^{6} + 165 \, b \cosh\left(b x + a\right)^{4} - 45 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{8} + 24 \, {\left(143 \, b \cosh\left(b x + a\right)^{7} + 33 \, b \cosh\left(b x + a\right)^{5} - 15 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 3 \, b \cosh\left(b x + a\right)^{6} + 3 \, {\left(1001 \, b \cosh\left(b x + a\right)^{8} + 308 \, b \cosh\left(b x + a\right)^{6} - 210 \, b \cosh\left(b x + a\right)^{4} - 28 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 2 \, {\left(1001 \, b \cosh\left(b x + a\right)^{9} + 396 \, b \cosh\left(b x + a\right)^{7} - 378 \, b \cosh\left(b x + a\right)^{5} - 84 \, b \cosh\left(b x + a\right)^{3} + 9 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 3 \, b \cosh\left(b x + a\right)^{4} + {\left(1001 \, b \cosh\left(b x + a\right)^{10} + 495 \, b \cosh\left(b x + a\right)^{8} - 630 \, b \cosh\left(b x + a\right)^{6} - 210 \, b \cosh\left(b x + a\right)^{4} + 45 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(91 \, b \cosh\left(b x + a\right)^{11} + 55 \, b \cosh\left(b x + a\right)^{9} - 90 \, b \cosh\left(b x + a\right)^{7} - 42 \, b \cosh\left(b x + a\right)^{5} + 15 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(91 \, b \cosh\left(b x + a\right)^{12} + 66 \, b \cosh\left(b x + a\right)^{10} - 135 \, b \cosh\left(b x + a\right)^{8} - 84 \, b \cosh\left(b x + a\right)^{6} + 45 \, b \cosh\left(b x + a\right)^{4} + 18 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(7 \, b \cosh\left(b x + a\right)^{13} + 6 \, b \cosh\left(b x + a\right)^{11} - 15 \, b \cosh\left(b x + a\right)^{9} - 12 \, b \cosh\left(b x + a\right)^{7} + 9 \, b \cosh\left(b x + a\right)^{5} + 6 \, 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,"1/12*(105*cosh(b*x + a)^13 + 1365*cosh(b*x + a)*sinh(b*x + a)^12 + 105*sinh(b*x + a)^13 + 70*(117*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^11 + 70*cosh(b*x + a)^11 + 770*(39*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^10 + 7*(10725*cosh(b*x + a)^4 + 550*cosh(b*x + a)^2 - 47)*sinh(b*x + a)^9 - 329*cosh(b*x + a)^9 + 21*(6435*cosh(b*x + a)^5 + 550*cosh(b*x + a)^3 - 141*cosh(b*x + a))*sinh(b*x + a)^8 + 12*(15015*cosh(b*x + a)^6 + 1925*cosh(b*x + a)^4 - 987*cosh(b*x + a)^2 - 17)*sinh(b*x + a)^7 - 204*cosh(b*x + a)^7 + 84*(2145*cosh(b*x + a)^7 + 385*cosh(b*x + a)^5 - 329*cosh(b*x + a)^3 - 17*cosh(b*x + a))*sinh(b*x + a)^6 + 7*(19305*cosh(b*x + a)^8 + 4620*cosh(b*x + a)^6 - 5922*cosh(b*x + a)^4 - 612*cosh(b*x + a)^2 - 47)*sinh(b*x + a)^5 - 329*cosh(b*x + a)^5 + 7*(10725*cosh(b*x + a)^9 + 3300*cosh(b*x + a)^7 - 5922*cosh(b*x + a)^5 - 1020*cosh(b*x + a)^3 - 235*cosh(b*x + a))*sinh(b*x + a)^4 + 14*(2145*cosh(b*x + a)^10 + 825*cosh(b*x + a)^8 - 1974*cosh(b*x + a)^6 - 510*cosh(b*x + a)^4 - 235*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^3 + 70*cosh(b*x + a)^3 + 14*(585*cosh(b*x + a)^11 + 275*cosh(b*x + a)^9 - 846*cosh(b*x + a)^7 - 306*cosh(b*x + a)^5 - 235*cosh(b*x + a)^3 + 15*cosh(b*x + a))*sinh(b*x + a)^2 + 105*(cosh(b*x + a)^14 + 14*cosh(b*x + a)*sinh(b*x + a)^13 + sinh(b*x + a)^14 + (91*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^12 + cosh(b*x + a)^12 + 4*(91*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^11 + (1001*cosh(b*x + a)^4 + 66*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^10 - 3*cosh(b*x + a)^10 + 2*(1001*cosh(b*x + a)^5 + 110*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^9 + 3*(1001*cosh(b*x + a)^6 + 165*cosh(b*x + a)^4 - 45*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - 3*cosh(b*x + a)^8 + 24*(143*cosh(b*x + a)^7 + 33*cosh(b*x + a)^5 - 15*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 3*(1001*cosh(b*x + a)^8 + 308*cosh(b*x + a)^6 - 210*cosh(b*x + a)^4 - 28*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 3*cosh(b*x + a)^6 + 2*(1001*cosh(b*x + a)^9 + 396*cosh(b*x + a)^7 - 378*cosh(b*x + a)^5 - 84*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^5 + (1001*cosh(b*x + a)^10 + 495*cosh(b*x + a)^8 - 630*cosh(b*x + a)^6 - 210*cosh(b*x + a)^4 + 45*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 3*cosh(b*x + a)^4 + 4*(91*cosh(b*x + a)^11 + 55*cosh(b*x + a)^9 - 90*cosh(b*x + a)^7 - 42*cosh(b*x + a)^5 + 15*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + (91*cosh(b*x + a)^12 + 66*cosh(b*x + a)^10 - 135*cosh(b*x + a)^8 - 84*cosh(b*x + a)^6 + 45*cosh(b*x + a)^4 + 18*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(7*cosh(b*x + a)^13 + 6*cosh(b*x + a)^11 - 15*cosh(b*x + a)^9 - 12*cosh(b*x + a)^7 + 9*cosh(b*x + a)^5 + 6*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 7*(195*cosh(b*x + a)^12 + 110*cosh(b*x + a)^10 - 423*cosh(b*x + a)^8 - 204*cosh(b*x + a)^6 - 235*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 15)*sinh(b*x + a) + 105*cosh(b*x + a))/(b*cosh(b*x + a)^14 + 14*b*cosh(b*x + a)*sinh(b*x + a)^13 + b*sinh(b*x + a)^14 + b*cosh(b*x + a)^12 + (91*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^12 + 4*(91*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^11 - 3*b*cosh(b*x + a)^10 + (1001*b*cosh(b*x + a)^4 + 66*b*cosh(b*x + a)^2 - 3*b)*sinh(b*x + a)^10 + 2*(1001*b*cosh(b*x + a)^5 + 110*b*cosh(b*x + a)^3 - 15*b*cosh(b*x + a))*sinh(b*x + a)^9 - 3*b*cosh(b*x + a)^8 + 3*(1001*b*cosh(b*x + a)^6 + 165*b*cosh(b*x + a)^4 - 45*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^8 + 24*(143*b*cosh(b*x + a)^7 + 33*b*cosh(b*x + a)^5 - 15*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^7 + 3*b*cosh(b*x + a)^6 + 3*(1001*b*cosh(b*x + a)^8 + 308*b*cosh(b*x + a)^6 - 210*b*cosh(b*x + a)^4 - 28*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 2*(1001*b*cosh(b*x + a)^9 + 396*b*cosh(b*x + a)^7 - 378*b*cosh(b*x + a)^5 - 84*b*cosh(b*x + a)^3 + 9*b*cosh(b*x + a))*sinh(b*x + a)^5 + 3*b*cosh(b*x + a)^4 + (1001*b*cosh(b*x + a)^10 + 495*b*cosh(b*x + a)^8 - 630*b*cosh(b*x + a)^6 - 210*b*cosh(b*x + a)^4 + 45*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 4*(91*b*cosh(b*x + a)^11 + 55*b*cosh(b*x + a)^9 - 90*b*cosh(b*x + a)^7 - 42*b*cosh(b*x + a)^5 + 15*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (91*b*cosh(b*x + a)^12 + 66*b*cosh(b*x + a)^10 - 135*b*cosh(b*x + a)^8 - 84*b*cosh(b*x + a)^6 + 45*b*cosh(b*x + a)^4 + 18*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(7*b*cosh(b*x + a)^13 + 6*b*cosh(b*x + a)^11 - 15*b*cosh(b*x + a)^9 - 12*b*cosh(b*x + a)^7 + 9*b*cosh(b*x + a)^5 + 6*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) - b)","B",0
44,1,1082,0,0.493119," ","integrate(csch(b*x+a)^5*sech(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right)^{6} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, \sinh\left(b x + a\right)^{6} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 4\right)} \sinh\left(b x + a\right)^{4} - 8 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{4} - 24 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{5} - 8 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"(2*cosh(b*x + a)^6 + 12*cosh(b*x + a)*sinh(b*x + a)^5 + 2*sinh(b*x + a)^6 + 2*(15*cosh(b*x + a)^2 - 4)*sinh(b*x + a)^4 - 8*cosh(b*x + a)^4 + 8*(5*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a)^3 + 2*(15*cosh(b*x + a)^4 - 24*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 - (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(3*cosh(b*x + a)^5 - 8*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 - 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
45,1,1591,0,0.430574," ","integrate(csch(b*x+a)^5*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{30 \, \cosh\left(b x + a\right)^{9} + 270 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{8} + 30 \, \sinh\left(b x + a\right)^{9} + 40 \, {\left(27 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{7} - 80 \, \cosh\left(b x + a\right)^{7} + 280 \, {\left(9 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 12 \, {\left(315 \, \cosh\left(b x + a\right)^{4} - 140 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{5} + 36 \, \cosh\left(b x + a\right)^{5} + 20 \, {\left(189 \, \cosh\left(b x + a\right)^{5} - 140 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 40 \, {\left(63 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{3} - 80 \, \cosh\left(b x + a\right)^{3} + 120 \, {\left(9 \, \cosh\left(b x + a\right)^{7} - 14 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} - 42 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 2 \, \cosh\left(b x + a\right)^{6} + 12 \, {\left(21 \, \cosh\left(b x + a\right)^{5} - 14 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} - 105 \, \cosh\left(b x + a\right)^{4} + 15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} - 21 \, \cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{8} - 28 \, \cosh\left(b x + a\right)^{6} + 10 \, \cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 3 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} - 12 \, \cosh\left(b x + a\right)^{7} + 6 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} - 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) + 15 \, {\left(\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} - 42 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 2 \, \cosh\left(b x + a\right)^{6} + 12 \, {\left(21 \, \cosh\left(b x + a\right)^{5} - 14 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{6} - 105 \, \cosh\left(b x + a\right)^{4} + 15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(15 \, \cosh\left(b x + a\right)^{7} - 21 \, \cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{8} - 28 \, \cosh\left(b x + a\right)^{6} + 10 \, \cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 3 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{9} - 12 \, \cosh\left(b x + a\right)^{7} + 6 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} - 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) + 10 \, {\left(27 \, \cosh\left(b x + a\right)^{8} - 56 \, \cosh\left(b x + a\right)^{6} + 18 \, \cosh\left(b x + a\right)^{4} - 24 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 30 \, \cosh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{10} + 10 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + b \sinh\left(b x + a\right)^{10} - 3 \, b \cosh\left(b x + a\right)^{8} + 3 \, {\left(15 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{8} + 24 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 2 \, b \cosh\left(b x + a\right)^{6} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{4} - 42 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 12 \, {\left(21 \, b \cosh\left(b x + a\right)^{5} - 14 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(105 \, b \cosh\left(b x + a\right)^{6} - 105 \, b \cosh\left(b x + a\right)^{4} + 15 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(15 \, b \cosh\left(b x + a\right)^{7} - 21 \, b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right)^{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(15 \, b \cosh\left(b x + a\right)^{8} - 28 \, b \cosh\left(b x + a\right)^{6} + 10 \, b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{9} - 12 \, b \cosh\left(b x + a\right)^{7} + 6 \, b \cosh\left(b x + a\right)^{5} + 4 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b\right)}}"," ",0,"1/8*(30*cosh(b*x + a)^9 + 270*cosh(b*x + a)*sinh(b*x + a)^8 + 30*sinh(b*x + a)^9 + 40*(27*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^7 - 80*cosh(b*x + a)^7 + 280*(9*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^6 + 12*(315*cosh(b*x + a)^4 - 140*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^5 + 36*cosh(b*x + a)^5 + 20*(189*cosh(b*x + a)^5 - 140*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^4 + 40*(63*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^3 - 80*cosh(b*x + a)^3 + 120*(9*cosh(b*x + a)^7 - 14*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^2 - 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + 3*(15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - 3*cosh(b*x + a)^8 + 24*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 - 42*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 2*cosh(b*x + a)^6 + 12*(21*cosh(b*x + a)^5 - 14*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 - 105*cosh(b*x + a)^4 + 15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 - 21*cosh(b*x + a)^5 + 5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + 3*(15*cosh(b*x + a)^8 - 28*cosh(b*x + a)^6 + 10*cosh(b*x + a)^4 + 4*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 3*cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 - 12*cosh(b*x + a)^7 + 6*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 15*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + 3*(15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - 3*cosh(b*x + a)^8 + 24*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 2*(105*cosh(b*x + a)^4 - 42*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 2*cosh(b*x + a)^6 + 12*(21*cosh(b*x + a)^5 - 14*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^5 + 2*(105*cosh(b*x + a)^6 - 105*cosh(b*x + a)^4 + 15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 2*cosh(b*x + a)^4 + 8*(15*cosh(b*x + a)^7 - 21*cosh(b*x + a)^5 + 5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + 3*(15*cosh(b*x + a)^8 - 28*cosh(b*x + a)^6 + 10*cosh(b*x + a)^4 + 4*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 3*cosh(b*x + a)^2 + 2*(5*cosh(b*x + a)^9 - 12*cosh(b*x + a)^7 + 6*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 10*(27*cosh(b*x + a)^8 - 56*cosh(b*x + a)^6 + 18*cosh(b*x + a)^4 - 24*cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 30*cosh(b*x + a))/(b*cosh(b*x + a)^10 + 10*b*cosh(b*x + a)*sinh(b*x + a)^9 + b*sinh(b*x + a)^10 - 3*b*cosh(b*x + a)^8 + 3*(15*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^8 + 24*(5*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^7 + 2*b*cosh(b*x + a)^6 + 2*(105*b*cosh(b*x + a)^4 - 42*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 12*(21*b*cosh(b*x + a)^5 - 14*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^5 + 2*b*cosh(b*x + a)^4 + 2*(105*b*cosh(b*x + a)^6 - 105*b*cosh(b*x + a)^4 + 15*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^4 + 8*(15*b*cosh(b*x + a)^7 - 21*b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^3 - 3*b*cosh(b*x + a)^2 + 3*(15*b*cosh(b*x + a)^8 - 28*b*cosh(b*x + a)^6 + 10*b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(5*b*cosh(b*x + a)^9 - 12*b*cosh(b*x + a)^7 + 6*b*cosh(b*x + a)^5 + 4*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
46,1,2114,0,0.445617," ","integrate(csch(b*x+a)^5*sech(b*x+a)^3,x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b x + a\right)^{10} + 60 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + 6 \, \sinh\left(b x + a\right)^{10} + 6 \, {\left(45 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{8} - 12 \, \cosh\left(b x + a\right)^{8} + 48 \, {\left(15 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(315 \, \cosh\left(b x + a\right)^{4} - 84 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 24 \, {\left(63 \, \cosh\left(b x + a\right)^{5} - 28 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 12 \, {\left(105 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} - 5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{4} + 16 \, {\left(45 \, \cosh\left(b x + a\right)^{7} - 42 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 6 \, {\left(45 \, \cosh\left(b x + a\right)^{8} - 56 \, \cosh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 6 \, \cosh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{12} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + \sinh\left(b x + a\right)^{12} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{10} - 2 \, \cosh\left(b x + a\right)^{10} + 20 \, {\left(11 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + {\left(495 \, \cosh\left(b x + a\right)^{4} - 90 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - \cosh\left(b x + a\right)^{8} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{5} - 30 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(231 \, \cosh\left(b x + a\right)^{6} - 105 \, \cosh\left(b x + a\right)^{4} - 7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{7} - 63 \, \cosh\left(b x + a\right)^{5} - 7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(495 \, \cosh\left(b x + a\right)^{8} - 420 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} + 60 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(55 \, \cosh\left(b x + a\right)^{9} - 60 \, \cosh\left(b x + a\right)^{7} - 14 \, \cosh\left(b x + a\right)^{5} + 20 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{10} - 45 \, \cosh\left(b x + a\right)^{8} - 14 \, \cosh\left(b x + a\right)^{6} + 30 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{11} - 5 \, \cosh\left(b x + a\right)^{9} - 2 \, \cosh\left(b x + a\right)^{7} + 6 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 3 \, {\left(\cosh\left(b x + a\right)^{12} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + \sinh\left(b x + a\right)^{12} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{10} - 2 \, \cosh\left(b x + a\right)^{10} + 20 \, {\left(11 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + {\left(495 \, \cosh\left(b x + a\right)^{4} - 90 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - \cosh\left(b x + a\right)^{8} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{5} - 30 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, {\left(231 \, \cosh\left(b x + a\right)^{6} - 105 \, \cosh\left(b x + a\right)^{4} - 7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(99 \, \cosh\left(b x + a\right)^{7} - 63 \, \cosh\left(b x + a\right)^{5} - 7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(495 \, \cosh\left(b x + a\right)^{8} - 420 \, \cosh\left(b x + a\right)^{6} - 70 \, \cosh\left(b x + a\right)^{4} + 60 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(55 \, \cosh\left(b x + a\right)^{9} - 60 \, \cosh\left(b x + a\right)^{7} - 14 \, \cosh\left(b x + a\right)^{5} + 20 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(33 \, \cosh\left(b x + a\right)^{10} - 45 \, \cosh\left(b x + a\right)^{8} - 14 \, \cosh\left(b x + a\right)^{6} + 30 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{11} - 5 \, \cosh\left(b x + a\right)^{9} - 2 \, \cosh\left(b x + a\right)^{7} + 6 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 12 \, {\left(5 \, \cosh\left(b x + a\right)^{9} - 8 \, \cosh\left(b x + a\right)^{7} - 2 \, \cosh\left(b x + a\right)^{5} - 4 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{12} + 12 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{11} + b \sinh\left(b x + a\right)^{12} - 2 \, b \cosh\left(b x + a\right)^{10} + 2 \, {\left(33 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{10} + 20 \, {\left(11 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} - b \cosh\left(b x + a\right)^{8} + {\left(495 \, b \cosh\left(b x + a\right)^{4} - 90 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{8} + 8 \, {\left(99 \, b \cosh\left(b x + a\right)^{5} - 30 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(231 \, b \cosh\left(b x + a\right)^{6} - 105 \, b \cosh\left(b x + a\right)^{4} - 7 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(99 \, b \cosh\left(b x + a\right)^{7} - 63 \, b \cosh\left(b x + a\right)^{5} - 7 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)^{4} + {\left(495 \, b \cosh\left(b x + a\right)^{8} - 420 \, b \cosh\left(b x + a\right)^{6} - 70 \, b \cosh\left(b x + a\right)^{4} + 60 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(55 \, b \cosh\left(b x + a\right)^{9} - 60 \, b \cosh\left(b x + a\right)^{7} - 14 \, b \cosh\left(b x + a\right)^{5} + 20 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(33 \, b \cosh\left(b x + a\right)^{10} - 45 \, b \cosh\left(b x + a\right)^{8} - 14 \, b \cosh\left(b x + a\right)^{6} + 30 \, b \cosh\left(b x + a\right)^{4} - 3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(3 \, b \cosh\left(b x + a\right)^{11} - 5 \, b \cosh\left(b x + a\right)^{9} - 2 \, b \cosh\left(b x + a\right)^{7} + 6 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"(6*cosh(b*x + a)^10 + 60*cosh(b*x + a)*sinh(b*x + a)^9 + 6*sinh(b*x + a)^10 + 6*(45*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^8 - 12*cosh(b*x + a)^8 + 48*(15*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^7 + 4*(315*cosh(b*x + a)^4 - 84*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 24*(63*cosh(b*x + a)^5 - 28*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^5 + 12*(105*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 - 5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 12*cosh(b*x + a)^4 + 16*(45*cosh(b*x + a)^7 - 42*cosh(b*x + a)^5 - 5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 6*(45*cosh(b*x + a)^8 - 56*cosh(b*x + a)^6 - 10*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 6*cosh(b*x + a)^2 - 3*(cosh(b*x + a)^12 + 12*cosh(b*x + a)*sinh(b*x + a)^11 + sinh(b*x + a)^12 + 2*(33*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^10 - 2*cosh(b*x + a)^10 + 20*(11*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^9 + (495*cosh(b*x + a)^4 - 90*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - cosh(b*x + a)^8 + 8*(99*cosh(b*x + a)^5 - 30*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 4*(231*cosh(b*x + a)^6 - 105*cosh(b*x + a)^4 - 7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(99*cosh(b*x + a)^7 - 63*cosh(b*x + a)^5 - 7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + (495*cosh(b*x + a)^8 - 420*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 + 60*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(55*cosh(b*x + a)^9 - 60*cosh(b*x + a)^7 - 14*cosh(b*x + a)^5 + 20*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + 2*(33*cosh(b*x + a)^10 - 45*cosh(b*x + a)^8 - 14*cosh(b*x + a)^6 + 30*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(3*cosh(b*x + a)^11 - 5*cosh(b*x + a)^9 - 2*cosh(b*x + a)^7 + 6*cosh(b*x + a)^5 - cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 3*(cosh(b*x + a)^12 + 12*cosh(b*x + a)*sinh(b*x + a)^11 + sinh(b*x + a)^12 + 2*(33*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^10 - 2*cosh(b*x + a)^10 + 20*(11*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^9 + (495*cosh(b*x + a)^4 - 90*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^8 - cosh(b*x + a)^8 + 8*(99*cosh(b*x + a)^5 - 30*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^7 + 4*(231*cosh(b*x + a)^6 - 105*cosh(b*x + a)^4 - 7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(99*cosh(b*x + a)^7 - 63*cosh(b*x + a)^5 - 7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + (495*cosh(b*x + a)^8 - 420*cosh(b*x + a)^6 - 70*cosh(b*x + a)^4 + 60*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(55*cosh(b*x + a)^9 - 60*cosh(b*x + a)^7 - 14*cosh(b*x + a)^5 + 20*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + 2*(33*cosh(b*x + a)^10 - 45*cosh(b*x + a)^8 - 14*cosh(b*x + a)^6 + 30*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(3*cosh(b*x + a)^11 - 5*cosh(b*x + a)^9 - 2*cosh(b*x + a)^7 + 6*cosh(b*x + a)^5 - cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 12*(5*cosh(b*x + a)^9 - 8*cosh(b*x + a)^7 - 2*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^12 + 12*b*cosh(b*x + a)*sinh(b*x + a)^11 + b*sinh(b*x + a)^12 - 2*b*cosh(b*x + a)^10 + 2*(33*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^10 + 20*(11*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^9 - b*cosh(b*x + a)^8 + (495*b*cosh(b*x + a)^4 - 90*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^8 + 8*(99*b*cosh(b*x + a)^5 - 30*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^7 + 4*b*cosh(b*x + a)^6 + 4*(231*b*cosh(b*x + a)^6 - 105*b*cosh(b*x + a)^4 - 7*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 8*(99*b*cosh(b*x + a)^7 - 63*b*cosh(b*x + a)^5 - 7*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^5 - b*cosh(b*x + a)^4 + (495*b*cosh(b*x + a)^8 - 420*b*cosh(b*x + a)^6 - 70*b*cosh(b*x + a)^4 + 60*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 4*(55*b*cosh(b*x + a)^9 - 60*b*cosh(b*x + a)^7 - 14*b*cosh(b*x + a)^5 + 20*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 - 2*b*cosh(b*x + a)^2 + 2*(33*b*cosh(b*x + a)^10 - 45*b*cosh(b*x + a)^8 - 14*b*cosh(b*x + a)^6 + 30*b*cosh(b*x + a)^4 - 3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(3*b*cosh(b*x + a)^11 - 5*b*cosh(b*x + a)^9 - 2*b*cosh(b*x + a)^7 + 6*b*cosh(b*x + a)^5 - b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
47,1,2802,0,0.461627," ","integrate(csch(b*x+a)^5*sech(b*x+a)^4,x, algorithm=""fricas"")","\frac{210 \, \cosh\left(b x + a\right)^{13} + 2730 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{12} + 210 \, \sinh\left(b x + a\right)^{13} + 140 \, {\left(117 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{11} - 140 \, \cosh\left(b x + a\right)^{11} + 1540 \, {\left(39 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{10} + 14 \, {\left(10725 \, \cosh\left(b x + a\right)^{4} - 550 \, \cosh\left(b x + a\right)^{2} - 47\right)} \sinh\left(b x + a\right)^{9} - 658 \, \cosh\left(b x + a\right)^{9} + 42 \, {\left(6435 \, \cosh\left(b x + a\right)^{5} - 550 \, \cosh\left(b x + a\right)^{3} - 141 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{8} + 24 \, {\left(15015 \, \cosh\left(b x + a\right)^{6} - 1925 \, \cosh\left(b x + a\right)^{4} - 987 \, \cosh\left(b x + a\right)^{2} + 17\right)} \sinh\left(b x + a\right)^{7} + 408 \, \cosh\left(b x + a\right)^{7} + 168 \, {\left(2145 \, \cosh\left(b x + a\right)^{7} - 385 \, \cosh\left(b x + a\right)^{5} - 329 \, \cosh\left(b x + a\right)^{3} + 17 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{6} + 14 \, {\left(19305 \, \cosh\left(b x + a\right)^{8} - 4620 \, \cosh\left(b x + a\right)^{6} - 5922 \, \cosh\left(b x + a\right)^{4} + 612 \, \cosh\left(b x + a\right)^{2} - 47\right)} \sinh\left(b x + a\right)^{5} - 658 \, \cosh\left(b x + a\right)^{5} + 14 \, {\left(10725 \, \cosh\left(b x + a\right)^{9} - 3300 \, \cosh\left(b x + a\right)^{7} - 5922 \, \cosh\left(b x + a\right)^{5} + 1020 \, \cosh\left(b x + a\right)^{3} - 235 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 28 \, {\left(2145 \, \cosh\left(b x + a\right)^{10} - 825 \, \cosh\left(b x + a\right)^{8} - 1974 \, \cosh\left(b x + a\right)^{6} + 510 \, \cosh\left(b x + a\right)^{4} - 235 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{3} - 140 \, \cosh\left(b x + a\right)^{3} + 28 \, {\left(585 \, \cosh\left(b x + a\right)^{11} - 275 \, \cosh\left(b x + a\right)^{9} - 846 \, \cosh\left(b x + a\right)^{7} + 306 \, \cosh\left(b x + a\right)^{5} - 235 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 105 \, {\left(\cosh\left(b x + a\right)^{14} + 14 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + \sinh\left(b x + a\right)^{14} + {\left(91 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{12} - \cosh\left(b x + a\right)^{12} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + {\left(1001 \, \cosh\left(b x + a\right)^{4} - 66 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{10} - 3 \, \cosh\left(b x + a\right)^{10} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{5} - 110 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{6} - 165 \, \cosh\left(b x + a\right)^{4} - 45 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{8} + 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(143 \, \cosh\left(b x + a\right)^{7} - 33 \, \cosh\left(b x + a\right)^{5} - 15 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{8} - 308 \, \cosh\left(b x + a\right)^{6} - 210 \, \cosh\left(b x + a\right)^{4} + 28 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 3 \, \cosh\left(b x + a\right)^{6} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{9} - 396 \, \cosh\left(b x + a\right)^{7} - 378 \, \cosh\left(b x + a\right)^{5} + 84 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(1001 \, \cosh\left(b x + a\right)^{10} - 495 \, \cosh\left(b x + a\right)^{8} - 630 \, \cosh\left(b x + a\right)^{6} + 210 \, \cosh\left(b x + a\right)^{4} + 45 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{11} - 55 \, \cosh\left(b x + a\right)^{9} - 90 \, \cosh\left(b x + a\right)^{7} + 42 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(91 \, \cosh\left(b x + a\right)^{12} - 66 \, \cosh\left(b x + a\right)^{10} - 135 \, \cosh\left(b x + a\right)^{8} + 84 \, \cosh\left(b x + a\right)^{6} + 45 \, \cosh\left(b x + a\right)^{4} - 18 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(7 \, \cosh\left(b x + a\right)^{13} - 6 \, \cosh\left(b x + a\right)^{11} - 15 \, \cosh\left(b x + a\right)^{9} + 12 \, \cosh\left(b x + a\right)^{7} + 9 \, \cosh\left(b x + a\right)^{5} - 6 \, \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) + 105 \, {\left(\cosh\left(b x + a\right)^{14} + 14 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + \sinh\left(b x + a\right)^{14} + {\left(91 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{12} - \cosh\left(b x + a\right)^{12} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + {\left(1001 \, \cosh\left(b x + a\right)^{4} - 66 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{10} - 3 \, \cosh\left(b x + a\right)^{10} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{5} - 110 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{6} - 165 \, \cosh\left(b x + a\right)^{4} - 45 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{8} + 3 \, \cosh\left(b x + a\right)^{8} + 24 \, {\left(143 \, \cosh\left(b x + a\right)^{7} - 33 \, \cosh\left(b x + a\right)^{5} - 15 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 3 \, {\left(1001 \, \cosh\left(b x + a\right)^{8} - 308 \, \cosh\left(b x + a\right)^{6} - 210 \, \cosh\left(b x + a\right)^{4} + 28 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 3 \, \cosh\left(b x + a\right)^{6} + 2 \, {\left(1001 \, \cosh\left(b x + a\right)^{9} - 396 \, \cosh\left(b x + a\right)^{7} - 378 \, \cosh\left(b x + a\right)^{5} + 84 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + {\left(1001 \, \cosh\left(b x + a\right)^{10} - 495 \, \cosh\left(b x + a\right)^{8} - 630 \, \cosh\left(b x + a\right)^{6} + 210 \, \cosh\left(b x + a\right)^{4} + 45 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(91 \, \cosh\left(b x + a\right)^{11} - 55 \, \cosh\left(b x + a\right)^{9} - 90 \, \cosh\left(b x + a\right)^{7} + 42 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(91 \, \cosh\left(b x + a\right)^{12} - 66 \, \cosh\left(b x + a\right)^{10} - 135 \, \cosh\left(b x + a\right)^{8} + 84 \, \cosh\left(b x + a\right)^{6} + 45 \, \cosh\left(b x + a\right)^{4} - 18 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(7 \, \cosh\left(b x + a\right)^{13} - 6 \, \cosh\left(b x + a\right)^{11} - 15 \, \cosh\left(b x + a\right)^{9} + 12 \, \cosh\left(b x + a\right)^{7} + 9 \, \cosh\left(b x + a\right)^{5} - 6 \, \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) + 14 \, {\left(195 \, \cosh\left(b x + a\right)^{12} - 110 \, \cosh\left(b x + a\right)^{10} - 423 \, \cosh\left(b x + a\right)^{8} + 204 \, \cosh\left(b x + a\right)^{6} - 235 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 15\right)} \sinh\left(b x + a\right) + 210 \, \cosh\left(b x + a\right)}{24 \, {\left(b \cosh\left(b x + a\right)^{14} + 14 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + b \sinh\left(b x + a\right)^{14} - b \cosh\left(b x + a\right)^{12} + {\left(91 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{12} + 4 \, {\left(91 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} - 3 \, b \cosh\left(b x + a\right)^{10} + {\left(1001 \, b \cosh\left(b x + a\right)^{4} - 66 \, b \cosh\left(b x + a\right)^{2} - 3 \, b\right)} \sinh\left(b x + a\right)^{10} + 2 \, {\left(1001 \, b \cosh\left(b x + a\right)^{5} - 110 \, b \cosh\left(b x + a\right)^{3} - 15 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + 3 \, b \cosh\left(b x + a\right)^{8} + 3 \, {\left(1001 \, b \cosh\left(b x + a\right)^{6} - 165 \, b \cosh\left(b x + a\right)^{4} - 45 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{8} + 24 \, {\left(143 \, b \cosh\left(b x + a\right)^{7} - 33 \, b \cosh\left(b x + a\right)^{5} - 15 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 3 \, b \cosh\left(b x + a\right)^{6} + 3 \, {\left(1001 \, b \cosh\left(b x + a\right)^{8} - 308 \, b \cosh\left(b x + a\right)^{6} - 210 \, b \cosh\left(b x + a\right)^{4} + 28 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 2 \, {\left(1001 \, b \cosh\left(b x + a\right)^{9} - 396 \, b \cosh\left(b x + a\right)^{7} - 378 \, b \cosh\left(b x + a\right)^{5} + 84 \, b \cosh\left(b x + a\right)^{3} + 9 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} - 3 \, b \cosh\left(b x + a\right)^{4} + {\left(1001 \, b \cosh\left(b x + a\right)^{10} - 495 \, b \cosh\left(b x + a\right)^{8} - 630 \, b \cosh\left(b x + a\right)^{6} + 210 \, b \cosh\left(b x + a\right)^{4} + 45 \, b \cosh\left(b x + a\right)^{2} - 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(91 \, b \cosh\left(b x + a\right)^{11} - 55 \, b \cosh\left(b x + a\right)^{9} - 90 \, b \cosh\left(b x + a\right)^{7} + 42 \, b \cosh\left(b x + a\right)^{5} + 15 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(91 \, b \cosh\left(b x + a\right)^{12} - 66 \, b \cosh\left(b x + a\right)^{10} - 135 \, b \cosh\left(b x + a\right)^{8} + 84 \, b \cosh\left(b x + a\right)^{6} + 45 \, b \cosh\left(b x + a\right)^{4} - 18 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(7 \, b \cosh\left(b x + a\right)^{13} - 6 \, b \cosh\left(b x + a\right)^{11} - 15 \, b \cosh\left(b x + a\right)^{9} + 12 \, b \cosh\left(b x + a\right)^{7} + 9 \, b \cosh\left(b x + a\right)^{5} - 6 \, 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,"1/24*(210*cosh(b*x + a)^13 + 2730*cosh(b*x + a)*sinh(b*x + a)^12 + 210*sinh(b*x + a)^13 + 140*(117*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^11 - 140*cosh(b*x + a)^11 + 1540*(39*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^10 + 14*(10725*cosh(b*x + a)^4 - 550*cosh(b*x + a)^2 - 47)*sinh(b*x + a)^9 - 658*cosh(b*x + a)^9 + 42*(6435*cosh(b*x + a)^5 - 550*cosh(b*x + a)^3 - 141*cosh(b*x + a))*sinh(b*x + a)^8 + 24*(15015*cosh(b*x + a)^6 - 1925*cosh(b*x + a)^4 - 987*cosh(b*x + a)^2 + 17)*sinh(b*x + a)^7 + 408*cosh(b*x + a)^7 + 168*(2145*cosh(b*x + a)^7 - 385*cosh(b*x + a)^5 - 329*cosh(b*x + a)^3 + 17*cosh(b*x + a))*sinh(b*x + a)^6 + 14*(19305*cosh(b*x + a)^8 - 4620*cosh(b*x + a)^6 - 5922*cosh(b*x + a)^4 + 612*cosh(b*x + a)^2 - 47)*sinh(b*x + a)^5 - 658*cosh(b*x + a)^5 + 14*(10725*cosh(b*x + a)^9 - 3300*cosh(b*x + a)^7 - 5922*cosh(b*x + a)^5 + 1020*cosh(b*x + a)^3 - 235*cosh(b*x + a))*sinh(b*x + a)^4 + 28*(2145*cosh(b*x + a)^10 - 825*cosh(b*x + a)^8 - 1974*cosh(b*x + a)^6 + 510*cosh(b*x + a)^4 - 235*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^3 - 140*cosh(b*x + a)^3 + 28*(585*cosh(b*x + a)^11 - 275*cosh(b*x + a)^9 - 846*cosh(b*x + a)^7 + 306*cosh(b*x + a)^5 - 235*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^2 - 105*(cosh(b*x + a)^14 + 14*cosh(b*x + a)*sinh(b*x + a)^13 + sinh(b*x + a)^14 + (91*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^12 - cosh(b*x + a)^12 + 4*(91*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^11 + (1001*cosh(b*x + a)^4 - 66*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^10 - 3*cosh(b*x + a)^10 + 2*(1001*cosh(b*x + a)^5 - 110*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^9 + 3*(1001*cosh(b*x + a)^6 - 165*cosh(b*x + a)^4 - 45*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^8 + 3*cosh(b*x + a)^8 + 24*(143*cosh(b*x + a)^7 - 33*cosh(b*x + a)^5 - 15*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + 3*(1001*cosh(b*x + a)^8 - 308*cosh(b*x + a)^6 - 210*cosh(b*x + a)^4 + 28*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 3*cosh(b*x + a)^6 + 2*(1001*cosh(b*x + a)^9 - 396*cosh(b*x + a)^7 - 378*cosh(b*x + a)^5 + 84*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^5 + (1001*cosh(b*x + a)^10 - 495*cosh(b*x + a)^8 - 630*cosh(b*x + a)^6 + 210*cosh(b*x + a)^4 + 45*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^4 - 3*cosh(b*x + a)^4 + 4*(91*cosh(b*x + a)^11 - 55*cosh(b*x + a)^9 - 90*cosh(b*x + a)^7 + 42*cosh(b*x + a)^5 + 15*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + (91*cosh(b*x + a)^12 - 66*cosh(b*x + a)^10 - 135*cosh(b*x + a)^8 + 84*cosh(b*x + a)^6 + 45*cosh(b*x + a)^4 - 18*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(7*cosh(b*x + a)^13 - 6*cosh(b*x + a)^11 - 15*cosh(b*x + a)^9 + 12*cosh(b*x + a)^7 + 9*cosh(b*x + a)^5 - 6*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 105*(cosh(b*x + a)^14 + 14*cosh(b*x + a)*sinh(b*x + a)^13 + sinh(b*x + a)^14 + (91*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^12 - cosh(b*x + a)^12 + 4*(91*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^11 + (1001*cosh(b*x + a)^4 - 66*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^10 - 3*cosh(b*x + a)^10 + 2*(1001*cosh(b*x + a)^5 - 110*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^9 + 3*(1001*cosh(b*x + a)^6 - 165*cosh(b*x + a)^4 - 45*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^8 + 3*cosh(b*x + a)^8 + 24*(143*cosh(b*x + a)^7 - 33*cosh(b*x + a)^5 - 15*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^7 + 3*(1001*cosh(b*x + a)^8 - 308*cosh(b*x + a)^6 - 210*cosh(b*x + a)^4 + 28*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 3*cosh(b*x + a)^6 + 2*(1001*cosh(b*x + a)^9 - 396*cosh(b*x + a)^7 - 378*cosh(b*x + a)^5 + 84*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^5 + (1001*cosh(b*x + a)^10 - 495*cosh(b*x + a)^8 - 630*cosh(b*x + a)^6 + 210*cosh(b*x + a)^4 + 45*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^4 - 3*cosh(b*x + a)^4 + 4*(91*cosh(b*x + a)^11 - 55*cosh(b*x + a)^9 - 90*cosh(b*x + a)^7 + 42*cosh(b*x + a)^5 + 15*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + (91*cosh(b*x + a)^12 - 66*cosh(b*x + a)^10 - 135*cosh(b*x + a)^8 + 84*cosh(b*x + a)^6 + 45*cosh(b*x + a)^4 - 18*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(7*cosh(b*x + a)^13 - 6*cosh(b*x + a)^11 - 15*cosh(b*x + a)^9 + 12*cosh(b*x + a)^7 + 9*cosh(b*x + a)^5 - 6*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 14*(195*cosh(b*x + a)^12 - 110*cosh(b*x + a)^10 - 423*cosh(b*x + a)^8 + 204*cosh(b*x + a)^6 - 235*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 15)*sinh(b*x + a) + 210*cosh(b*x + a))/(b*cosh(b*x + a)^14 + 14*b*cosh(b*x + a)*sinh(b*x + a)^13 + b*sinh(b*x + a)^14 - b*cosh(b*x + a)^12 + (91*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^12 + 4*(91*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^11 - 3*b*cosh(b*x + a)^10 + (1001*b*cosh(b*x + a)^4 - 66*b*cosh(b*x + a)^2 - 3*b)*sinh(b*x + a)^10 + 2*(1001*b*cosh(b*x + a)^5 - 110*b*cosh(b*x + a)^3 - 15*b*cosh(b*x + a))*sinh(b*x + a)^9 + 3*b*cosh(b*x + a)^8 + 3*(1001*b*cosh(b*x + a)^6 - 165*b*cosh(b*x + a)^4 - 45*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^8 + 24*(143*b*cosh(b*x + a)^7 - 33*b*cosh(b*x + a)^5 - 15*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^7 + 3*b*cosh(b*x + a)^6 + 3*(1001*b*cosh(b*x + a)^8 - 308*b*cosh(b*x + a)^6 - 210*b*cosh(b*x + a)^4 + 28*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 2*(1001*b*cosh(b*x + a)^9 - 396*b*cosh(b*x + a)^7 - 378*b*cosh(b*x + a)^5 + 84*b*cosh(b*x + a)^3 + 9*b*cosh(b*x + a))*sinh(b*x + a)^5 - 3*b*cosh(b*x + a)^4 + (1001*b*cosh(b*x + a)^10 - 495*b*cosh(b*x + a)^8 - 630*b*cosh(b*x + a)^6 + 210*b*cosh(b*x + a)^4 + 45*b*cosh(b*x + a)^2 - 3*b)*sinh(b*x + a)^4 + 4*(91*b*cosh(b*x + a)^11 - 55*b*cosh(b*x + a)^9 - 90*b*cosh(b*x + a)^7 + 42*b*cosh(b*x + a)^5 + 15*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (91*b*cosh(b*x + a)^12 - 66*b*cosh(b*x + a)^10 - 135*b*cosh(b*x + a)^8 + 84*b*cosh(b*x + a)^6 + 45*b*cosh(b*x + a)^4 - 18*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(7*b*cosh(b*x + a)^13 - 6*b*cosh(b*x + a)^11 - 15*b*cosh(b*x + a)^9 + 12*b*cosh(b*x + a)^7 + 9*b*cosh(b*x + a)^5 - 6*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
48,1,2231,0,0.481768," ","integrate(csch(b*x+a)^5*sech(b*x+a)^5,x, algorithm=""fricas"")","\frac{2 \, {\left(6 \, \cosh\left(b x + a\right)^{14} + 2184 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{11} + 546 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{12} + 84 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{13} + 6 \, \sinh\left(b x + a\right)^{14} + 22 \, {\left(273 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{10} - 22 \, \cosh\left(b x + a\right)^{10} + 44 \, {\left(273 \, \cosh\left(b x + a\right)^{5} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{9} + 198 \, {\left(91 \, \cosh\left(b x + a\right)^{6} - 5 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{8} + 528 \, {\left(39 \, \cosh\left(b x + a\right)^{7} - 5 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{7} + 22 \, {\left(819 \, \cosh\left(b x + a\right)^{8} - 210 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{6} - 22 \, \cosh\left(b x + a\right)^{6} + 132 \, {\left(91 \, \cosh\left(b x + a\right)^{9} - 42 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 66 \, {\left(91 \, \cosh\left(b x + a\right)^{10} - 70 \, \cosh\left(b x + a\right)^{6} - 5 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(273 \, \cosh\left(b x + a\right)^{11} - 330 \, \cosh\left(b x + a\right)^{7} - 55 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{3} + 6 \, {\left(91 \, \cosh\left(b x + a\right)^{12} - 165 \, \cosh\left(b x + a\right)^{8} - 55 \, \cosh\left(b x + a\right)^{4} + 1\right)} \sinh\left(b x + a\right)^{2} + 6 \, \cosh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{16} + 560 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{13} + 120 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{14} + 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{15} + \sinh\left(b x + a\right)^{16} + 4 \, {\left(455 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{12} - 4 \, \cosh\left(b x + a\right)^{12} + 48 \, {\left(91 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + 88 \, {\left(91 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{10} + 880 \, {\left(13 \, \cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{9} + 6 \, {\left(2145 \, \cosh\left(b x + a\right)^{8} - 330 \, \cosh\left(b x + a\right)^{4} + 1\right)} \sinh\left(b x + a\right)^{8} + 6 \, \cosh\left(b x + a\right)^{8} + 16 \, {\left(715 \, \cosh\left(b x + a\right)^{9} - 198 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 56 \, {\left(143 \, \cosh\left(b x + a\right)^{10} - 66 \, \cosh\left(b x + a\right)^{6} + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{6} + 48 \, {\left(91 \, \cosh\left(b x + a\right)^{11} - 66 \, \cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{5} + 4 \, {\left(455 \, \cosh\left(b x + a\right)^{12} - 495 \, \cosh\left(b x + a\right)^{8} + 105 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right)^{4} + 16 \, {\left(35 \, \cosh\left(b x + a\right)^{13} - 55 \, \cosh\left(b x + a\right)^{9} + 21 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 24 \, {\left(5 \, \cosh\left(b x + a\right)^{14} - 11 \, \cosh\left(b x + a\right)^{10} + 7 \, \cosh\left(b x + a\right)^{6} - \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\left(\cosh\left(b x + a\right)^{15} - 3 \, \cosh\left(b x + a\right)^{11} + 3 \, \cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 3 \, {\left(\cosh\left(b x + a\right)^{16} + 560 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{13} + 120 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{14} + 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{15} + \sinh\left(b x + a\right)^{16} + 4 \, {\left(455 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{12} - 4 \, \cosh\left(b x + a\right)^{12} + 48 \, {\left(91 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + 88 \, {\left(91 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{10} + 880 \, {\left(13 \, \cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{9} + 6 \, {\left(2145 \, \cosh\left(b x + a\right)^{8} - 330 \, \cosh\left(b x + a\right)^{4} + 1\right)} \sinh\left(b x + a\right)^{8} + 6 \, \cosh\left(b x + a\right)^{8} + 16 \, {\left(715 \, \cosh\left(b x + a\right)^{9} - 198 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 56 \, {\left(143 \, \cosh\left(b x + a\right)^{10} - 66 \, \cosh\left(b x + a\right)^{6} + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{6} + 48 \, {\left(91 \, \cosh\left(b x + a\right)^{11} - 66 \, \cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{5} + 4 \, {\left(455 \, \cosh\left(b x + a\right)^{12} - 495 \, \cosh\left(b x + a\right)^{8} + 105 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right)^{4} + 16 \, {\left(35 \, \cosh\left(b x + a\right)^{13} - 55 \, \cosh\left(b x + a\right)^{9} + 21 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 24 \, {\left(5 \, \cosh\left(b x + a\right)^{14} - 11 \, \cosh\left(b x + a\right)^{10} + 7 \, \cosh\left(b x + a\right)^{6} - \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\left(\cosh\left(b x + a\right)^{15} - 3 \, \cosh\left(b x + a\right)^{11} + 3 \, \cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(21 \, \cosh\left(b x + a\right)^{13} - 55 \, \cosh\left(b x + a\right)^{9} - 33 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{16} + 560 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{13} + 120 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{14} + 16 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{15} + b \sinh\left(b x + a\right)^{16} - 4 \, b \cosh\left(b x + a\right)^{12} + 4 \, {\left(455 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)^{12} + 48 \, {\left(91 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{11} + 88 \, {\left(91 \, b \cosh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{10} + 880 \, {\left(13 \, b \cosh\left(b x + a\right)^{7} - b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{9} + 6 \, b \cosh\left(b x + a\right)^{8} + 6 \, {\left(2145 \, b \cosh\left(b x + a\right)^{8} - 330 \, b \cosh\left(b x + a\right)^{4} + b\right)} \sinh\left(b x + a\right)^{8} + 16 \, {\left(715 \, b \cosh\left(b x + a\right)^{9} - 198 \, b \cosh\left(b x + a\right)^{5} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 56 \, {\left(143 \, b \cosh\left(b x + a\right)^{10} - 66 \, b \cosh\left(b x + a\right)^{6} + 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{6} + 48 \, {\left(91 \, b \cosh\left(b x + a\right)^{11} - 66 \, b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{5} - 4 \, b \cosh\left(b x + a\right)^{4} + 4 \, {\left(455 \, b \cosh\left(b x + a\right)^{12} - 495 \, b \cosh\left(b x + a\right)^{8} + 105 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)^{4} + 16 \, {\left(35 \, b \cosh\left(b x + a\right)^{13} - 55 \, b \cosh\left(b x + a\right)^{9} + 21 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 24 \, {\left(5 \, b \cosh\left(b x + a\right)^{14} - 11 \, b \cosh\left(b x + a\right)^{10} + 7 \, b \cosh\left(b x + a\right)^{6} - b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\left(b \cosh\left(b x + a\right)^{15} - 3 \, b \cosh\left(b x + a\right)^{11} + 3 \, b \cosh\left(b x + a\right)^{7} - b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + b}"," ",0,"2*(6*cosh(b*x + a)^14 + 2184*cosh(b*x + a)^3*sinh(b*x + a)^11 + 546*cosh(b*x + a)^2*sinh(b*x + a)^12 + 84*cosh(b*x + a)*sinh(b*x + a)^13 + 6*sinh(b*x + a)^14 + 22*(273*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^10 - 22*cosh(b*x + a)^10 + 44*(273*cosh(b*x + a)^5 - 5*cosh(b*x + a))*sinh(b*x + a)^9 + 198*(91*cosh(b*x + a)^6 - 5*cosh(b*x + a)^2)*sinh(b*x + a)^8 + 528*(39*cosh(b*x + a)^7 - 5*cosh(b*x + a)^3)*sinh(b*x + a)^7 + 22*(819*cosh(b*x + a)^8 - 210*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^6 - 22*cosh(b*x + a)^6 + 132*(91*cosh(b*x + a)^9 - 42*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^5 + 66*(91*cosh(b*x + a)^10 - 70*cosh(b*x + a)^6 - 5*cosh(b*x + a)^2)*sinh(b*x + a)^4 + 8*(273*cosh(b*x + a)^11 - 330*cosh(b*x + a)^7 - 55*cosh(b*x + a)^3)*sinh(b*x + a)^3 + 6*(91*cosh(b*x + a)^12 - 165*cosh(b*x + a)^8 - 55*cosh(b*x + a)^4 + 1)*sinh(b*x + a)^2 + 6*cosh(b*x + a)^2 - 3*(cosh(b*x + a)^16 + 560*cosh(b*x + a)^3*sinh(b*x + a)^13 + 120*cosh(b*x + a)^2*sinh(b*x + a)^14 + 16*cosh(b*x + a)*sinh(b*x + a)^15 + sinh(b*x + a)^16 + 4*(455*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^12 - 4*cosh(b*x + a)^12 + 48*(91*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^11 + 88*(91*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^10 + 880*(13*cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a)^9 + 6*(2145*cosh(b*x + a)^8 - 330*cosh(b*x + a)^4 + 1)*sinh(b*x + a)^8 + 6*cosh(b*x + a)^8 + 16*(715*cosh(b*x + a)^9 - 198*cosh(b*x + a)^5 + 3*cosh(b*x + a))*sinh(b*x + a)^7 + 56*(143*cosh(b*x + a)^10 - 66*cosh(b*x + a)^6 + 3*cosh(b*x + a)^2)*sinh(b*x + a)^6 + 48*(91*cosh(b*x + a)^11 - 66*cosh(b*x + a)^7 + 7*cosh(b*x + a)^3)*sinh(b*x + a)^5 + 4*(455*cosh(b*x + a)^12 - 495*cosh(b*x + a)^8 + 105*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 4*cosh(b*x + a)^4 + 16*(35*cosh(b*x + a)^13 - 55*cosh(b*x + a)^9 + 21*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 24*(5*cosh(b*x + a)^14 - 11*cosh(b*x + a)^10 + 7*cosh(b*x + a)^6 - cosh(b*x + a)^2)*sinh(b*x + a)^2 + 16*(cosh(b*x + a)^15 - 3*cosh(b*x + a)^11 + 3*cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 3*(cosh(b*x + a)^16 + 560*cosh(b*x + a)^3*sinh(b*x + a)^13 + 120*cosh(b*x + a)^2*sinh(b*x + a)^14 + 16*cosh(b*x + a)*sinh(b*x + a)^15 + sinh(b*x + a)^16 + 4*(455*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^12 - 4*cosh(b*x + a)^12 + 48*(91*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^11 + 88*(91*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^10 + 880*(13*cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a)^9 + 6*(2145*cosh(b*x + a)^8 - 330*cosh(b*x + a)^4 + 1)*sinh(b*x + a)^8 + 6*cosh(b*x + a)^8 + 16*(715*cosh(b*x + a)^9 - 198*cosh(b*x + a)^5 + 3*cosh(b*x + a))*sinh(b*x + a)^7 + 56*(143*cosh(b*x + a)^10 - 66*cosh(b*x + a)^6 + 3*cosh(b*x + a)^2)*sinh(b*x + a)^6 + 48*(91*cosh(b*x + a)^11 - 66*cosh(b*x + a)^7 + 7*cosh(b*x + a)^3)*sinh(b*x + a)^5 + 4*(455*cosh(b*x + a)^12 - 495*cosh(b*x + a)^8 + 105*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 4*cosh(b*x + a)^4 + 16*(35*cosh(b*x + a)^13 - 55*cosh(b*x + a)^9 + 21*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 24*(5*cosh(b*x + a)^14 - 11*cosh(b*x + a)^10 + 7*cosh(b*x + a)^6 - cosh(b*x + a)^2)*sinh(b*x + a)^2 + 16*(cosh(b*x + a)^15 - 3*cosh(b*x + a)^11 + 3*cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(21*cosh(b*x + a)^13 - 55*cosh(b*x + a)^9 - 33*cosh(b*x + a)^5 + 3*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^16 + 560*b*cosh(b*x + a)^3*sinh(b*x + a)^13 + 120*b*cosh(b*x + a)^2*sinh(b*x + a)^14 + 16*b*cosh(b*x + a)*sinh(b*x + a)^15 + b*sinh(b*x + a)^16 - 4*b*cosh(b*x + a)^12 + 4*(455*b*cosh(b*x + a)^4 - b)*sinh(b*x + a)^12 + 48*(91*b*cosh(b*x + a)^5 - b*cosh(b*x + a))*sinh(b*x + a)^11 + 88*(91*b*cosh(b*x + a)^6 - 3*b*cosh(b*x + a)^2)*sinh(b*x + a)^10 + 880*(13*b*cosh(b*x + a)^7 - b*cosh(b*x + a)^3)*sinh(b*x + a)^9 + 6*b*cosh(b*x + a)^8 + 6*(2145*b*cosh(b*x + a)^8 - 330*b*cosh(b*x + a)^4 + b)*sinh(b*x + a)^8 + 16*(715*b*cosh(b*x + a)^9 - 198*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a))*sinh(b*x + a)^7 + 56*(143*b*cosh(b*x + a)^10 - 66*b*cosh(b*x + a)^6 + 3*b*cosh(b*x + a)^2)*sinh(b*x + a)^6 + 48*(91*b*cosh(b*x + a)^11 - 66*b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)^3)*sinh(b*x + a)^5 - 4*b*cosh(b*x + a)^4 + 4*(455*b*cosh(b*x + a)^12 - 495*b*cosh(b*x + a)^8 + 105*b*cosh(b*x + a)^4 - b)*sinh(b*x + a)^4 + 16*(35*b*cosh(b*x + a)^13 - 55*b*cosh(b*x + a)^9 + 21*b*cosh(b*x + a)^5 - b*cosh(b*x + a))*sinh(b*x + a)^3 + 24*(5*b*cosh(b*x + a)^14 - 11*b*cosh(b*x + a)^10 + 7*b*cosh(b*x + a)^6 - b*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 16*(b*cosh(b*x + a)^15 - 3*b*cosh(b*x + a)^11 + 3*b*cosh(b*x + a)^7 - b*cosh(b*x + a)^3)*sinh(b*x + a) + b)","B",0
49,1,997,0,0.466357," ","integrate(sinh(b*x+a)^(7/2)/cosh(b*x+a)^(7/2),x, algorithm=""fricas"")","-\frac{24 \, \cosh\left(b x + a\right)^{6} + 144 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 24 \, \sinh\left(b x + a\right)^{6} + 72 \, {\left(5 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 72 \, \cosh\left(b x + a\right)^{4} + 96 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 72 \, {\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} - 10 \, {\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)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 72 \, \cosh\left(b x + a\right)^{2} + 5 \, {\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 16 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} + 144 \, {\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) + 24}{10 \, {\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,"-1/10*(24*cosh(b*x + a)^6 + 144*cosh(b*x + a)*sinh(b*x + a)^5 + 24*sinh(b*x + a)^6 + 72*(5*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 72*cosh(b*x + a)^4 + 96*(5*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 72*(5*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 - 10*(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)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 72*cosh(b*x + a)^2 + 5*(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 16*(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 2*(15*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^3 + 4*cosh(b*x + a)^3 + 6*(5*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^2 + 3*(5*cosh(b*x + a)^4 + 4*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 3*cosh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) + 144*(cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 24)/(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
50,1,591,0,0.447048," ","integrate(sinh(b*x+a)^(5/2)/cosh(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, \cosh\left(b x + a\right)^{4} + 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, \sinh\left(b x + a\right)^{4} + 8 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 8 \, \cosh\left(b x + a\right)^{2} + 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 8 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} + 16 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4}{6 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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*(4*cosh(b*x + a)^4 + 16*cosh(b*x + a)*sinh(b*x + a)^3 + 4*sinh(b*x + a)^4 + 8*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 8*cosh(b*x + a)^2 + 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 8*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) + 16*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 4)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
51,1,310,0,0.460852," ","integrate(sinh(b*x+a)^(3/2)/cosh(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\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)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) - 4 \, \cosh\left(b x + a\right)^{2} - {\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) - 8 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 4 \, \sinh\left(b x + a\right)^{2} - 4}{2 \, {\left(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\right)}}"," ",0,"1/2*(2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) - 4*cosh(b*x + a)^2 - (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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) - 8*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 8*cosh(b*x + a)*sinh(b*x + a) - 4*sinh(b*x + a)^2 - 4)/(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
52,1,142,0,0.424479," ","integrate(sinh(b*x+a)^(1/2)/cosh(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + \log\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(2*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + log(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2))/b","B",0
53,1,144,0,0.420675," ","integrate(cosh(b*x+a)^(1/2)/sinh(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) - \log\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"1/2*(2*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) - log(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2))/b","B",0
54,1,311,0,0.424371," ","integrate(cosh(b*x+a)^(3/2)/sinh(b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\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)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 4 \, \cosh\left(b x + a\right)^{2} + {\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 8 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 4 \, \sinh\left(b x + a\right)^{2} - 4}{2 \, {\left(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\right)}}"," ",0,"-1/2*(2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 4*cosh(b*x + a)^2 + (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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 8*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) + 8*cosh(b*x + a)*sinh(b*x + a) + 4*sinh(b*x + a)^2 - 4)/(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
55,1,598,0,0.427737," ","integrate(cosh(b*x+a)^(5/2)/sinh(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, \cosh\left(b x + a\right)^{4} + 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, \sinh\left(b x + a\right)^{4} + 8 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) - 8 \, \cosh\left(b x + a\right)^{2} + 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 8 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} + 16 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4}{6 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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*(4*cosh(b*x + a)^4 + 16*cosh(b*x + a)*sinh(b*x + a)^3 + 4*sinh(b*x + a)^4 + 8*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) - 8*cosh(b*x + a)^2 + 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 8*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) + 16*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 4)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
56,1,1001,0,0.472628," ","integrate(cosh(b*x+a)^(7/2)/sinh(b*x+a)^(7/2),x, algorithm=""fricas"")","-\frac{24 \, \cosh\left(b x + a\right)^{6} + 144 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 24 \, \sinh\left(b x + a\right)^{6} + 72 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 72 \, \cosh\left(b x + a\right)^{4} + 96 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 72 \, {\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} + 10 \, {\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)} \arctan\left(-\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 72 \, \cosh\left(b x + a\right)^{2} + 5 \, {\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)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - \sinh\left(b x + a\right)^{2}\right) + 16 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 15 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right)\right)} \sqrt{\cosh\left(b x + a\right)} \sqrt{\sinh\left(b x + a\right)} + 144 \, {\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) - 24}{10 \, {\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,"-1/10*(24*cosh(b*x + a)^6 + 144*cosh(b*x + a)*sinh(b*x + a)^5 + 24*sinh(b*x + a)^6 + 72*(5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 72*cosh(b*x + a)^4 + 96*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 72*(5*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 10*(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)*arctan(-cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 72*cosh(b*x + a)^2 + 5*(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2) + 16*(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 2*(15*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^3 - 4*cosh(b*x + a)^3 + 6*(5*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^2 + 3*(5*cosh(b*x + a)^4 - 4*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 3*cosh(b*x + a))*sqrt(cosh(b*x + a))*sqrt(sinh(b*x + a)) + 144*(cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - 24)/(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
57,1,1042,0,0.585110," ","integrate(sinh(b*x+a)^(7/3)/cosh(b*x+a)^(7/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{4} + 4 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sqrt{3} \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \sqrt{3} \cosh\left(b x + a\right)^{2} + \sqrt{3}\right)} \sinh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{3} + \sqrt{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + \sqrt{3}}{3 \, {\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)}}\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) + 6 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}}}{4 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/4*(2*(sqrt(3)*cosh(b*x + a)^4 + 4*sqrt(3)*cosh(b*x + a)*sinh(b*x + a)^3 + sqrt(3)*sinh(b*x + a)^4 + 2*(3*sqrt(3)*cosh(b*x + a)^2 + sqrt(3))*sinh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a)^3 + sqrt(3)*cosh(b*x + a))*sinh(b*x + a) + sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log((cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 6*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
58,1,751,0,0.440061," ","integrate(sinh(b*x+a)^(5/3)/cosh(b*x+a)^(5/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} - \sqrt{3}}{3 \, {\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)}}\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(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, {\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(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) + 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}}}{4 \, {\left(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\right)}}"," ",0,"-1/4*(2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) - sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*(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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 12*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3))/(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
59,1,1003,0,0.461309," ","integrate(sinh(b*x+a)^(4/3)/cosh(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + \sqrt{3}}{3 \, {\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)}}\right) + 2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + \sqrt{3}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + \sqrt{3}}{3 \, {\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)}}\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) + 2 \, {\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) - {\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(\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) - 2 \, {\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(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) - 24 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}}}{4 \, {\left(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\right)}}"," ",0,"1/4*(2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + sqrt(3))*arctan(-1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 2*(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) - 2*(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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) - 24*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3))/(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
60,1,727,0,0.457398," ","integrate(sinh(b*x+a)^(2/3)/cosh(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} - \sqrt{3}}{3 \, {\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)}}\right) + 2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} - \sqrt{3}}{3 \, {\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)}}\right) + \log\left(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) + 2 \, \log\left(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) - 2 \, \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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)}{4 \, b}"," ",0,"1/4*(2*sqrt(3)*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) - sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 2*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) - sqrt(3))/(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 2*log((cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) - 2*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)))/b","B",0
61,1,572,0,0.511191," ","integrate(sinh(b*x+a)^(1/3)/cosh(b*x+a)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + \sqrt{3}}{3 \, {\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)}}\right) - \log\left(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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)}{4 \, b}"," ",0,"-1/4*(2*sqrt(3)*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + sqrt(3))/(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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)))/b","B",0
62,1,578,0,0.463304," ","integrate(cosh(b*x+a)^(1/3)/sinh(b*x+a)^(1/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} - \sqrt{3}}{3 \, {\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)}}\right) - \log\left(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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)}{4 \, b}"," ",0,"-1/4*(2*sqrt(3)*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) - sqrt(3))/(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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)))/b","B",0
63,1,723,0,0.472283," ","integrate(cosh(b*x+a)^(2/3)/sinh(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + \sqrt{3}}{3 \, {\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)}}\right) + 2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + \sqrt{3}}{3 \, {\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)}}\right) + \log\left(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) + 2 \, \log\left(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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(\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) - 2 \, \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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)}{4 \, b}"," ",0,"1/4*(2*sqrt(3)*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 2*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + sqrt(3))/(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 2*log((cosh(b*x + a)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) - 2*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)))/b","B",0
64,1,1013,0,0.453604," ","integrate(cosh(b*x+a)^(4/3)/sinh(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} - \sqrt{3}}{3 \, {\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)}}\right) + 2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - \sqrt{3}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} - \sqrt{3}}{3 \, {\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)}}\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) - {\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) + 2 \, {\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(\frac{\cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) - 2 \, {\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(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) - 24 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}}}{4 \, {\left(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\right)}}"," ",0,"1/4*(2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) - sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - sqrt(3))*arctan(-1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) - sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 2*(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)^2 + 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) - 2*(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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) - 24*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3))/(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
65,1,749,0,0.459013," ","integrate(cosh(b*x+a)^(5/3)/sinh(b*x+a)^(5/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} - \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + \sqrt{3}}{3 \, {\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)}}\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(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, {\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(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{\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) + 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}}}{4 \, {\left(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\right)}}"," ",0,"-1/4*(2*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 - sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*(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)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)) + 12*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3))/(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
66,1,1056,0,0.439608," ","integrate(cosh(b*x+a)^(7/3)/sinh(b*x+a)^(7/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{4} + 4 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sqrt{3} \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \sqrt{3} \cosh\left(b x + a\right)^{2} - \sqrt{3}\right)} \sinh\left(b x + a\right)^{2} - 2 \, \sqrt{3} \cosh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{3} - \sqrt{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + \sqrt{3}\right)} \arctan\left(\frac{\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2} + 4 \, {\left(\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} - \sqrt{3}}{3 \, {\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)}}\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(-\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{2}{3}} \sinh\left(b x + a\right)^{\frac{1}{3}} + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} - 1}{\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) + 6 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \cosh\left(b x + a\right)^{\frac{1}{3}} \sinh\left(b x + a\right)^{\frac{2}{3}}}{4 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/4*(2*(sqrt(3)*cosh(b*x + a)^4 + 4*sqrt(3)*cosh(b*x + a)*sinh(b*x + a)^3 + sqrt(3)*sinh(b*x + a)^4 + 2*(3*sqrt(3)*cosh(b*x + a)^2 - sqrt(3))*sinh(b*x + a)^2 - 2*sqrt(3)*cosh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a)^3 - sqrt(3)*cosh(b*x + a))*sinh(b*x + a) + sqrt(3))*arctan(1/3*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2 + 4*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) - sqrt(3))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log((cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3) + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)/(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(-(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*cosh(b*x + a)^(2/3)*sinh(b*x + a)^(1/3) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)) + 6*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*cosh(b*x + a)^(1/3)*sinh(b*x + a)^(2/3))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
67,1,93,0,0.433326," ","integrate(cosh(x)^(2/3)/sinh(x)^(8/3),x, algorithm=""fricas"")","-\frac{6 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)\right)} \cosh\left(x\right)^{\frac{2}{3}} \sinh\left(x\right)^{\frac{1}{3}}}{5 \, {\left(\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)}}"," ",0,"-6/5*(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x))*cosh(x)^(2/3)*sinh(x)^(1/3)/(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)","B",0
68,1,93,0,0.412209," ","integrate(sinh(x)^(2/3)/cosh(x)^(8/3),x, algorithm=""fricas"")","\frac{6 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)\right)} \cosh\left(x\right)^{\frac{1}{3}} \sinh\left(x\right)^{\frac{2}{3}}}{5 \, {\left(\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)}}"," ",0,"6/5*(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x))*cosh(x)^(1/3)*sinh(x)^(2/3)/(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)","B",0
69,1,54,0,0.455847," ","integrate(cosh(x)*csch(x)^(7/3),x, algorithm=""fricas"")","-\frac{3 \cdot 2^{\frac{1}{3}} \left(\frac{\cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1}\right)^{\frac{1}{3}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)}}"," ",0,"-3/2*2^(1/3)*((cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1))^(1/3)*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)","B",0
70,1,86,0,0.548908," ","integrate(sinh(b*x+a)*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{4 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - \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}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(4*(cosh(b*x + a) + sinh(b*x + a))*arctan(cosh(b*x + a) + sinh(b*x + a)) - cosh(b*x + a)^2 - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2 + 1)/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
71,1,31,0,0.407389," ","integrate(sinh(b*x+a)*tanh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2} + 3}{2 \, b \cosh\left(b x + a\right)}"," ",0,"1/2*(cosh(b*x + a)^2 + sinh(b*x + a)^2 + 3)/(b*cosh(b*x + a))","A",0
72,1,463,0,0.421004," ","integrate(sinh(b*x+a)*tanh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\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} - 6 \, {\left(\cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\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) + \cosh\left(b x + a\right)\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 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}{2 \, {\left(b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + b \sinh\left(b x + a\right)^{5} + 2 \, b \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\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)^{2} + b \cosh\left(b x + a\right) + {\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)\right)}}"," ",0,"1/2*(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 - 6*(cosh(b*x + a)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 + sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 2*cosh(b*x + a)^3 + 2*(5*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + (5*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*arctan(cosh(b*x + a) + sinh(b*x + a)) - 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)/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + b*sinh(b*x + a)^5 + 2*b*cosh(b*x + a)^3 + 2*(5*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^3 + 2*(5*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^2 + b*cosh(b*x + a) + (5*b*cosh(b*x + a)^4 + 6*b*cosh(b*x + a)^2 + b)*sinh(b*x + a))","B",0
73,1,93,0,0.461731," ","integrate(sinh(b*x+a)*tanh(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{4} + 18 \, {\left(\cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 36 \, \cosh\left(b x + a\right)^{2} + 25}{6 \, {\left(b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 3 \, b \cosh\left(b x + a\right)\right)}}"," ",0,"1/6*(3*cosh(b*x + a)^4 + 3*sinh(b*x + a)^4 + 18*(cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 36*cosh(b*x + a)^2 + 25)/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + 3*b*cosh(b*x + a))","B",0
74,1,197,0,0.449582," ","integrate(sinh(b*x+a)^2*tanh(b*x+a),x, algorithm=""fricas"")","\frac{8 \, b x \cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(4 \, b x + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\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}\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(4 \, b x \cosh\left(b x + a\right) + \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1}{8 \, {\left(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}\right)}}"," ",0,"1/8*(8*b*x*cosh(b*x + a)^2 + cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(4*b*x + 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 8*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(4*b*x*cosh(b*x + a) + cosh(b*x + a)^3)*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
75,1,54,0,0.463474," ","integrate(sinh(b*x+a)^2*tanh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sinh\left(b x + a\right)^{3} - 4 \, {\left(3 \, b x + 2\right)} \cosh\left(b x + a\right) + 3 \, {\left(\cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)}{8 \, b \cosh\left(b x + a\right)}"," ",0,"1/8*(sinh(b*x + a)^3 - 4*(3*b*x + 2)*cosh(b*x + a) + 3*(cosh(b*x + a)^2 + 3)*sinh(b*x + a))/(b*cosh(b*x + a))","A",0
76,1,742,0,0.441859," ","integrate(sinh(b*x+a)^2*tanh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{6} + 2 \, {\left(8 \, b x + 14 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(14 \, \cosh\left(b x + a\right)^{3} + 3 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} + 15 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 16 \, b x - 7\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} + 5 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(14 \, \cosh\left(b x + a\right)^{6} + 15 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 6 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{2} + 8 \, b x + 1\right)} \sinh\left(b x + a\right)^{2} - 16 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 4 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(2 \, \cosh\left(b x + a\right)^{7} + 3 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{5} + 2 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{3} + {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{8 \, {\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} + 2 \, b \cosh\left(b x + a\right)^{4} + {\left(15 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} + 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)^{2} + {\left(15 \, b \cosh\left(b x + a\right)^{4} + 12 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{5} + 4 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/8*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(8*b*x + 1)*cosh(b*x + a)^6 + 2*(8*b*x + 14*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*(14*cosh(b*x + a)^3 + 3*(8*b*x + 1)*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(16*b*x - 7)*cosh(b*x + a)^4 + 2*(35*cosh(b*x + a)^4 + 15*(8*b*x + 1)*cosh(b*x + a)^2 + 16*b*x - 7)*sinh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 + 5*(8*b*x + 1)*cosh(b*x + a)^3 + (16*b*x - 7)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*(8*b*x + 1)*cosh(b*x + a)^2 + 2*(14*cosh(b*x + a)^6 + 15*(8*b*x + 1)*cosh(b*x + a)^4 + 6*(16*b*x - 7)*cosh(b*x + a)^2 + 8*b*x + 1)*sinh(b*x + a)^2 - 16*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^4 + 2*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(2*cosh(b*x + a)^7 + 3*(8*b*x + 1)*cosh(b*x + a)^5 + 2*(16*b*x - 7)*cosh(b*x + a)^3 + (8*b*x + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 + 2*b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 + 2*b*cosh(b*x + a))*sinh(b*x + a)^3 + b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 + 12*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^5 + 4*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a))","B",0
77,1,290,0,0.460141," ","integrate(sinh(b*x+a)^3*tanh(b*x+a),x, algorithm=""fricas"")","\frac{\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} + 15 \, {\left(\cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 15 \, \cosh\left(b x + a\right)^{4} + 20 \, {\left(\cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 15 \, {\left(\cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 48 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3}\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 15 \, \cosh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1}{24 \, {\left(b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3}\right)}}"," ",0,"1/24*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + 15*(cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - 15*cosh(b*x + a)^4 + 20*(cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^3 + 15*(cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 48*(cosh(b*x + a)^3 + 3*cosh(b*x + a)^2*sinh(b*x + a) + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 15*cosh(b*x + a)^2 + 6*(cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a) - 1)/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)^2*sinh(b*x + a) + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3)","B",0
78,1,63,0,0.523740," ","integrate(sinh(b*x+a)^3*tanh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + \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} - 45}{24 \, b \cosh\left(b x + a\right)}"," ",0,"1/24*(cosh(b*x + a)^4 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 10)*sinh(b*x + a)^2 - 20*cosh(b*x + a)^2 - 45)/(b*cosh(b*x + a))","A",0
79,1,851,0,0.452749," ","integrate(sinh(b*x+a)^3*tanh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + 5 \, {\left(9 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{8} - 25 \, \cosh\left(b x + a\right)^{8} + 40 \, {\left(3 \, \cosh\left(b x + a\right)^{3} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{4} - 70 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{6} - 50 \, \cosh\left(b x + a\right)^{6} + 4 \, {\left(63 \, \cosh\left(b x + a\right)^{5} - 350 \, \cosh\left(b x + a\right)^{3} - 75 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{6} - 175 \, \cosh\left(b x + a\right)^{4} - 75 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{4} + 50 \, \cosh\left(b x + a\right)^{4} + 40 \, {\left(3 \, \cosh\left(b x + a\right)^{7} - 35 \, \cosh\left(b x + a\right)^{5} - 25 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 5 \, {\left(9 \, \cosh\left(b x + a\right)^{8} - 140 \, \cosh\left(b x + a\right)^{6} - 150 \, \cosh\left(b x + a\right)^{4} + 60 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{2} + 120 \, {\left(\cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + \sinh\left(b x + a\right)^{7} + {\left(21 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{5} + 2 \, \cosh\left(b x + a\right)^{5} + 5 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + {\left(35 \, \cosh\left(b x + a\right)^{4} + 20 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)^{3} + {\left(21 \, \cosh\left(b x + a\right)^{5} + 20 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(7 \, \cosh\left(b x + a\right)^{6} + 10 \, \cosh\left(b x + a\right)^{4} + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 25 \, \cosh\left(b x + a\right)^{2} + 10 \, {\left(\cosh\left(b x + a\right)^{9} - 20 \, \cosh\left(b x + a\right)^{7} - 30 \, \cosh\left(b x + a\right)^{5} + 20 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1}{24 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} + 2 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + b \cosh\left(b x + a\right)^{3} + {\left(35 \, b \cosh\left(b x + a\right)^{4} + 20 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} + 20 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(7 \, b \cosh\left(b x + a\right)^{6} + 10 \, b \cosh\left(b x + a\right)^{4} + 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/24*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + 5*(9*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^8 - 25*cosh(b*x + a)^8 + 40*(3*cosh(b*x + a)^3 - 5*cosh(b*x + a))*sinh(b*x + a)^7 + 10*(21*cosh(b*x + a)^4 - 70*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^6 - 50*cosh(b*x + a)^6 + 4*(63*cosh(b*x + a)^5 - 350*cosh(b*x + a)^3 - 75*cosh(b*x + a))*sinh(b*x + a)^5 + 10*(21*cosh(b*x + a)^6 - 175*cosh(b*x + a)^4 - 75*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^4 + 50*cosh(b*x + a)^4 + 40*(3*cosh(b*x + a)^7 - 35*cosh(b*x + a)^5 - 25*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a)^3 + 5*(9*cosh(b*x + a)^8 - 140*cosh(b*x + a)^6 - 150*cosh(b*x + a)^4 + 60*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^2 + 120*(cosh(b*x + a)^7 + 7*cosh(b*x + a)*sinh(b*x + a)^6 + sinh(b*x + a)^7 + (21*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^5 + 2*cosh(b*x + a)^5 + 5*(7*cosh(b*x + a)^3 + 2*cosh(b*x + a))*sinh(b*x + a)^4 + (35*cosh(b*x + a)^4 + 20*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + cosh(b*x + a)^3 + (21*cosh(b*x + a)^5 + 20*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + (7*cosh(b*x + a)^6 + 10*cosh(b*x + a)^4 + 3*cosh(b*x + a)^2)*sinh(b*x + a))*arctan(cosh(b*x + a) + sinh(b*x + a)) + 25*cosh(b*x + a)^2 + 10*(cosh(b*x + a)^9 - 20*cosh(b*x + a)^7 - 30*cosh(b*x + a)^5 + 20*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a) - 1)/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 + 2*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 + 2*b*cosh(b*x + a))*sinh(b*x + a)^4 + b*cosh(b*x + a)^3 + (35*b*cosh(b*x + a)^4 + 20*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 + 20*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^2 + (7*b*cosh(b*x + a)^6 + 10*b*cosh(b*x + a)^4 + 3*b*cosh(b*x + a)^2)*sinh(b*x + a))","B",0
80,1,457,0,0.413248," ","integrate(sinh(b*x+a)^4*tanh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{6} - 64 \, b x \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 32 \, b x - 90 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 32 \, b x \cosh\left(b x + a\right) - 30 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 96 \, b x \cosh\left(b x + a\right)^{2} - 45 \, \cosh\left(b x + a\right)^{4} - 3\right)} \sinh\left(b x + a\right)^{2} - 12 \, \cosh\left(b x + a\right)^{2} + 64 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4}\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 32 \, b x \cosh\left(b x + a\right)^{3} - 9 \, \cosh\left(b x + a\right)^{5} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{64 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/64*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^6 - 64*b*x*cosh(b*x + a)^4 - 12*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 9*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 32*b*x - 90*cosh(b*x + a)^2)*sinh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 32*b*x*cosh(b*x + a) - 30*cosh(b*x + a)^3)*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 96*b*x*cosh(b*x + a)^2 - 45*cosh(b*x + a)^4 - 3)*sinh(b*x + a)^2 - 12*cosh(b*x + a)^2 + 64*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 8*(cosh(b*x + a)^7 - 32*b*x*cosh(b*x + a)^3 - 9*cosh(b*x + a)^5 - 3*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4)","B",0
81,1,54,0,0.446516," ","integrate(sech(b*x+a)*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*(cosh(b*x + a) + 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
82,1,84,0,0.450576," ","integrate(sech(b*x+a)^2*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \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} + 3 \, b \cosh\left(b x + a\right) + {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(cosh(b*x + a) + 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 + 3*b*cosh(b*x + a) + (3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a))","B",0
83,1,115,0,0.402396," ","integrate(sech(b*x+a)^n*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{\cosh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right) + \sinh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right)}{b n}"," ",0,"-(cosh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1))) + sinh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1))))/(b*n)","B",0
84,1,138,0,0.415192," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, {\left(\cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2}\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, b\right)}}"," ",0,"-8/3*(cosh(b*x + a)^2 + cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 4*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + 3*b)","B",0
85,1,208,0,0.435433," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + b \sinh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right)^{3} + {\left(10 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{3} + 5 \, {\left(2 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 10 \, b \cosh\left(b x + a\right) + {\left(5 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) + cosh(b*x + a))/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + b*sinh(b*x + a)^5 + 5*b*cosh(b*x + a)^3 + (10*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^3 + 5*(2*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^2 + 10*b*cosh(b*x + a) + (5*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a))","B",0
86,1,69,0,0.421833," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^n,x, algorithm=""fricas"")","\frac{\cosh\left(n \log\left(\frac{\sinh\left(b x + a\right)}{\cosh\left(b x + a\right)}\right)\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right) \sinh\left(n \log\left(\frac{\sinh\left(b x + a\right)}{\cosh\left(b x + a\right)}\right)\right)}{{\left(b n + b\right)} \cosh\left(b x + a\right)}"," ",0,"(cosh(n*log(sinh(b*x + a)/cosh(b*x + a)))*sinh(b*x + a) + sinh(b*x + a)*sinh(n*log(sinh(b*x + a)/cosh(b*x + a))))/((b*n + b)*cosh(b*x + a))","B",0
87,1,172,0,0.441183," ","integrate(sech(b*x+a)*tanh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 3 \, \sinh\left(b x + a\right)^{3} + {\left(9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) + 5 \, \cosh\left(b x + a\right)\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, b\right)}}"," ",0,"-2/3*(3*cosh(b*x + a)^3 + 9*cosh(b*x + a)*sinh(b*x + a)^2 + 3*sinh(b*x + a)^3 + (9*cosh(b*x + a)^2 - 1)*sinh(b*x + a) + 5*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 4*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + 3*b)","B",0
88,1,345,0,0.405509," ","integrate(sech(b*x+a)^3*tanh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{8 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 20 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 5 \, \sinh\left(b x + a\right)^{4} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 5\right)}}{15 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} + 5 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} + 5 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 5 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 11 \, b \cosh\left(b x + a\right)^{3} + {\left(35 \, b \cosh\left(b x + a\right)^{4} + 50 \, b \cosh\left(b x + a\right)^{2} + 9 \, b\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} + 50 \, b \cosh\left(b x + a\right)^{3} + 33 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 15 \, b \cosh\left(b x + a\right) + {\left(7 \, b \cosh\left(b x + a\right)^{6} + 25 \, b \cosh\left(b x + a\right)^{4} + 27 \, b \cosh\left(b x + a\right)^{2} + 5 \, b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-8/15*(5*cosh(b*x + a)^4 + 20*cosh(b*x + a)*sinh(b*x + a)^3 + 5*sinh(b*x + a)^4 + 2*(15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 5)/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 + 5*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 + 5*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 + 5*b*cosh(b*x + a))*sinh(b*x + a)^4 + 11*b*cosh(b*x + a)^3 + (35*b*cosh(b*x + a)^4 + 50*b*cosh(b*x + a)^2 + 9*b)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 + 50*b*cosh(b*x + a)^3 + 33*b*cosh(b*x + a))*sinh(b*x + a)^2 + 15*b*cosh(b*x + a) + (7*b*cosh(b*x + a)^6 + 25*b*cosh(b*x + a)^4 + 27*b*cosh(b*x + a)^2 + 5*b)*sinh(b*x + a))","B",0
89,1,219,0,0.447760," ","integrate(sech(b*x+a)^n*tanh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left({\left(n + 2\right)} \cosh\left(b x + a\right)^{2} + {\left(n + 2\right)} \sinh\left(b x + a\right)^{2} - n + 2\right)} \cosh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right) + {\left({\left(n + 2\right)} \cosh\left(b x + a\right)^{2} + {\left(n + 2\right)} \sinh\left(b x + a\right)^{2} - n + 2\right)} \sinh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right)}{b n^{2} + {\left(b n^{2} + 2 \, b n\right)} \cosh\left(b x + a\right)^{2} + {\left(b n^{2} + 2 \, b n\right)} \sinh\left(b x + a\right)^{2} + 2 \, b n}"," ",0,"-(((n + 2)*cosh(b*x + a)^2 + (n + 2)*sinh(b*x + a)^2 - n + 2)*cosh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1))) + ((n + 2)*cosh(b*x + a)^2 + (n + 2)*sinh(b*x + a)^2 - n + 2)*sinh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1))))/(b*n^2 + (b*n^2 + 2*b*n)*cosh(b*x + a)^2 + (b*n^2 + 2*b*n)*sinh(b*x + a)^2 + 2*b*n)","B",0
90,1,304,0,0.439120," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, {\left(8 \, \cosh\left(b x + a\right)^{3} + 24 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 7 \, \sinh\left(b x + a\right)^{3} + {\left(21 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)\right)}}{15 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} + 5 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} + 5 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 5 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 11 \, b \cosh\left(b x + a\right)^{3} + {\left(35 \, b \cosh\left(b x + a\right)^{4} + 50 \, b \cosh\left(b x + a\right)^{2} + 9 \, b\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} + 50 \, b \cosh\left(b x + a\right)^{3} + 33 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 15 \, b \cosh\left(b x + a\right) + {\left(7 \, b \cosh\left(b x + a\right)^{6} + 25 \, b \cosh\left(b x + a\right)^{4} + 27 \, b \cosh\left(b x + a\right)^{2} + 5 \, b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-8/15*(8*cosh(b*x + a)^3 + 24*cosh(b*x + a)*sinh(b*x + a)^2 + 7*sinh(b*x + a)^3 + (21*cosh(b*x + a)^2 - 5)*sinh(b*x + a))/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 + 5*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 + 5*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 + 5*b*cosh(b*x + a))*sinh(b*x + a)^4 + 11*b*cosh(b*x + a)^3 + (35*b*cosh(b*x + a)^4 + 50*b*cosh(b*x + a)^2 + 9*b)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 + 50*b*cosh(b*x + a)^3 + 33*b*cosh(b*x + a))*sinh(b*x + a)^2 + 15*b*cosh(b*x + a) + (7*b*cosh(b*x + a)^6 + 25*b*cosh(b*x + a)^4 + 27*b*cosh(b*x + a)^2 + 5*b)*sinh(b*x + a))","B",0
91,1,551,0,0.435472," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{8 \, {\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) + {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 4\right)} \sinh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 24 \, \cosh\left(b x + a\right)^{2} - 4\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 8 \, \cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} \sqrt{\frac{\sinh\left(b x + a\right)}{\cosh\left(b x + a\right)}} + 1\right)}}{21 \, {\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,"8/21*(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) + (cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 4)*sinh(b*x + a)^4 + 4*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 24*cosh(b*x + a)^2 - 4)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 8*cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a) - 1)*sqrt(sinh(b*x + a)/cosh(b*x + a)) + 1)/(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
92,1,180,0,0.443211," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^n,x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 2 \, n + 3\right)} \sinh\left(b x + a\right)\right)} \cosh\left(n \log\left(\frac{\sinh\left(b x + a\right)}{\cosh\left(b x + a\right)}\right)\right) + {\left(\sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 2 \, n + 3\right)} \sinh\left(b x + a\right)\right)} \sinh\left(n \log\left(\frac{\sinh\left(b x + a\right)}{\cosh\left(b x + a\right)}\right)\right)\right)}}{{\left(b n^{2} + 4 \, b n + 3 \, b\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b n^{2} + 4 \, b n + 3 \, b\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 3 \, {\left(b n^{2} + 4 \, b n + 3 \, b\right)} \cosh\left(b x + a\right)}"," ",0,"2*((sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 2*n + 3)*sinh(b*x + a))*cosh(n*log(sinh(b*x + a)/cosh(b*x + a))) + (sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 2*n + 3)*sinh(b*x + a))*sinh(n*log(sinh(b*x + a)/cosh(b*x + a))))/((b*n^2 + 4*b*n + 3*b)*cosh(b*x + a)^3 + 3*(b*n^2 + 4*b*n + 3*b)*cosh(b*x + a)*sinh(b*x + a)^2 + 3*(b*n^2 + 4*b*n + 3*b)*cosh(b*x + a))","B",0
93,1,269,0,0.419260," ","integrate(sech(b*x+a)*tanh(b*x+a)^2,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} + \sinh\left(b x + a\right)^{3} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
94,1,814,0,0.440007," ","integrate(sech(b*x+a)*tanh(b*x+a)^4,x, algorithm=""fricas"")","-\frac{5 \, \cosh\left(b x + a\right)^{7} + 35 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 5 \, \sinh\left(b x + a\right)^{7} + 3 \, {\left(35 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{5} - 3 \, \cosh\left(b x + a\right)^{5} + 5 \, {\left(35 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + {\left(175 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)^{3} + 3 \, {\left(35 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} + 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(35 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right) - 5 \, \cosh\left(b x + a\right)}{4 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} + 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} + 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} + 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} + 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} + 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, 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,"-1/4*(5*cosh(b*x + a)^7 + 35*cosh(b*x + a)*sinh(b*x + a)^6 + 5*sinh(b*x + a)^7 + 3*(35*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^5 - 3*cosh(b*x + a)^5 + 5*(35*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^4 + (175*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^3 + 3*cosh(b*x + a)^3 + 3*(35*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 - 3*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 + 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 + 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (35*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 5)*sinh(b*x + a) - 5*cosh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 + 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 + 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 + 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 + 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 + 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 + 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
95,1,808,0,0.469470," ","integrate(sech(b*x+a)^3*tanh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + \sinh\left(b x + a\right)^{7} + 7 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{5} - 7 \, \cosh\left(b x + a\right)^{5} + 35 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 7 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 10 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 7 \, \cosh\left(b x + a\right)^{3} + 7 \, {\left(3 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} + 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(7 \, \cosh\left(b x + a\right)^{6} - 35 \, \cosh\left(b x + a\right)^{4} + 21 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)}{4 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} + 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} + 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} + 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} + 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} + 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, 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,"1/4*(cosh(b*x + a)^7 + 7*cosh(b*x + a)*sinh(b*x + a)^6 + sinh(b*x + a)^7 + 7*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^5 - 7*cosh(b*x + a)^5 + 35*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^4 + 7*(5*cosh(b*x + a)^4 - 10*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 7*cosh(b*x + a)^3 + 7*(3*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 + 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 + 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (7*cosh(b*x + a)^6 - 35*cosh(b*x + a)^4 + 21*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 + 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 + 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 + 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 + 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 + 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 + 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
96,1,185,0,0.442235," ","integrate(sech(x)*tanh(x)^5,x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, \cosh\left(x\right)^{5} + 75 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 15 \, \sinh\left(x\right)^{5} + 5 \, {\left(30 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + 35 \, \cosh\left(x\right)^{3} + 15 \, {\left(10 \, \cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(75 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 38\right)} \sinh\left(x\right) + 78 \, \cosh\left(x\right)\right)}}{15 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 2\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{2} + 15 \, \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} + 8 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 10\right)}}"," ",0,"-2/15*(15*cosh(x)^5 + 75*cosh(x)*sinh(x)^4 + 15*sinh(x)^5 + 5*(30*cosh(x)^2 + 1)*sinh(x)^3 + 35*cosh(x)^3 + 15*(10*cosh(x)^3 + 7*cosh(x))*sinh(x)^2 + (75*cosh(x)^4 + 15*cosh(x)^2 + 38)*sinh(x) + 78*cosh(x))/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 2)*sinh(x)^4 + 6*cosh(x)^4 + 4*(5*cosh(x)^3 + 4*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 12*cosh(x)^2 + 5)*sinh(x)^2 + 15*cosh(x)^2 + 2*(3*cosh(x)^5 + 8*cosh(x)^3 + 5*cosh(x))*sinh(x) + 10)","B",0
97,1,634,0,0.488768," ","integrate(sech(x)^7*tanh(x)^5,x, algorithm=""fricas"")","-\frac{128 \, {\left(99 \, \cosh\left(x\right)^{8} + 792 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 99 \, \sinh\left(x\right)^{8} + 44 \, {\left(63 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 220 \, \cosh\left(x\right)^{6} + 264 \, {\left(21 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(693 \, \cosh\left(x\right)^{4} - 330 \, \cosh\left(x\right)^{2} + 37\right)} \sinh\left(x\right)^{4} + 370 \, \cosh\left(x\right)^{4} + 8 \, {\left(693 \, \cosh\left(x\right)^{5} - 550 \, \cosh\left(x\right)^{3} + 185 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(693 \, \cosh\left(x\right)^{6} - 825 \, \cosh\left(x\right)^{4} + 555 \, \cosh\left(x\right)^{2} - 55\right)} \sinh\left(x\right)^{2} - 220 \, \cosh\left(x\right)^{2} + 8 \, {\left(99 \, \cosh\left(x\right)^{7} - 165 \, \cosh\left(x\right)^{5} + 185 \, \cosh\left(x\right)^{3} - 55 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 99\right)}}{693 \, {\left(\cosh\left(x\right)^{15} + 15 \, \cosh\left(x\right) \sinh\left(x\right)^{14} + \sinh\left(x\right)^{15} + {\left(105 \, \cosh\left(x\right)^{2} + 11\right)} \sinh\left(x\right)^{13} + 11 \, \cosh\left(x\right)^{13} + 13 \, {\left(35 \, \cosh\left(x\right)^{3} + 11 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{12} + {\left(1365 \, \cosh\left(x\right)^{4} + 858 \, \cosh\left(x\right)^{2} + 55\right)} \sinh\left(x\right)^{11} + 55 \, \cosh\left(x\right)^{11} + 11 \, {\left(273 \, \cosh\left(x\right)^{5} + 286 \, \cosh\left(x\right)^{3} + 55 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{10} + 55 \, {\left(91 \, \cosh\left(x\right)^{6} + 143 \, \cosh\left(x\right)^{4} + 55 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{9} + 165 \, \cosh\left(x\right)^{9} + 33 \, {\left(195 \, \cosh\left(x\right)^{7} + 429 \, \cosh\left(x\right)^{5} + 275 \, \cosh\left(x\right)^{3} + 45 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + {\left(6435 \, \cosh\left(x\right)^{8} + 18876 \, \cosh\left(x\right)^{6} + 18150 \, \cosh\left(x\right)^{4} + 5940 \, \cosh\left(x\right)^{2} + 329\right)} \sinh\left(x\right)^{7} + 331 \, \cosh\left(x\right)^{7} + {\left(5005 \, \cosh\left(x\right)^{9} + 18876 \, \cosh\left(x\right)^{7} + 25410 \, \cosh\left(x\right)^{5} + 13860 \, \cosh\left(x\right)^{3} + 2317 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(3003 \, \cosh\left(x\right)^{10} + 14157 \, \cosh\left(x\right)^{8} + 25410 \, \cosh\left(x\right)^{6} + 20790 \, \cosh\left(x\right)^{4} + 6909 \, \cosh\left(x\right)^{2} + 451\right)} \sinh\left(x\right)^{5} + 473 \, \cosh\left(x\right)^{5} + 5 \, {\left(273 \, \cosh\left(x\right)^{11} + 1573 \, \cosh\left(x\right)^{9} + 3630 \, \cosh\left(x\right)^{7} + 4158 \, \cosh\left(x\right)^{5} + 2317 \, \cosh\left(x\right)^{3} + 473 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(455 \, \cosh\left(x\right)^{12} + 3146 \, \cosh\left(x\right)^{10} + 9075 \, \cosh\left(x\right)^{8} + 13860 \, \cosh\left(x\right)^{6} + 11515 \, \cosh\left(x\right)^{4} + 4510 \, \cosh\left(x\right)^{2} + 407\right)} \sinh\left(x\right)^{3} + 517 \, \cosh\left(x\right)^{3} + {\left(105 \, \cosh\left(x\right)^{13} + 858 \, \cosh\left(x\right)^{11} + 3025 \, \cosh\left(x\right)^{9} + 5940 \, \cosh\left(x\right)^{7} + 6951 \, \cosh\left(x\right)^{5} + 4730 \, \cosh\left(x\right)^{3} + 1551 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(15 \, \cosh\left(x\right)^{14} + 143 \, \cosh\left(x\right)^{12} + 605 \, \cosh\left(x\right)^{10} + 1485 \, \cosh\left(x\right)^{8} + 2303 \, \cosh\left(x\right)^{6} + 2255 \, \cosh\left(x\right)^{4} + 1221 \, \cosh\left(x\right)^{2} + 165\right)} \sinh\left(x\right) + 495 \, \cosh\left(x\right)\right)}}"," ",0,"-128/693*(99*cosh(x)^8 + 792*cosh(x)*sinh(x)^7 + 99*sinh(x)^8 + 44*(63*cosh(x)^2 - 5)*sinh(x)^6 - 220*cosh(x)^6 + 264*(21*cosh(x)^3 - 5*cosh(x))*sinh(x)^5 + 10*(693*cosh(x)^4 - 330*cosh(x)^2 + 37)*sinh(x)^4 + 370*cosh(x)^4 + 8*(693*cosh(x)^5 - 550*cosh(x)^3 + 185*cosh(x))*sinh(x)^3 + 4*(693*cosh(x)^6 - 825*cosh(x)^4 + 555*cosh(x)^2 - 55)*sinh(x)^2 - 220*cosh(x)^2 + 8*(99*cosh(x)^7 - 165*cosh(x)^5 + 185*cosh(x)^3 - 55*cosh(x))*sinh(x) + 99)/(cosh(x)^15 + 15*cosh(x)*sinh(x)^14 + sinh(x)^15 + (105*cosh(x)^2 + 11)*sinh(x)^13 + 11*cosh(x)^13 + 13*(35*cosh(x)^3 + 11*cosh(x))*sinh(x)^12 + (1365*cosh(x)^4 + 858*cosh(x)^2 + 55)*sinh(x)^11 + 55*cosh(x)^11 + 11*(273*cosh(x)^5 + 286*cosh(x)^3 + 55*cosh(x))*sinh(x)^10 + 55*(91*cosh(x)^6 + 143*cosh(x)^4 + 55*cosh(x)^2 + 3)*sinh(x)^9 + 165*cosh(x)^9 + 33*(195*cosh(x)^7 + 429*cosh(x)^5 + 275*cosh(x)^3 + 45*cosh(x))*sinh(x)^8 + (6435*cosh(x)^8 + 18876*cosh(x)^6 + 18150*cosh(x)^4 + 5940*cosh(x)^2 + 329)*sinh(x)^7 + 331*cosh(x)^7 + (5005*cosh(x)^9 + 18876*cosh(x)^7 + 25410*cosh(x)^5 + 13860*cosh(x)^3 + 2317*cosh(x))*sinh(x)^6 + (3003*cosh(x)^10 + 14157*cosh(x)^8 + 25410*cosh(x)^6 + 20790*cosh(x)^4 + 6909*cosh(x)^2 + 451)*sinh(x)^5 + 473*cosh(x)^5 + 5*(273*cosh(x)^11 + 1573*cosh(x)^9 + 3630*cosh(x)^7 + 4158*cosh(x)^5 + 2317*cosh(x)^3 + 473*cosh(x))*sinh(x)^4 + (455*cosh(x)^12 + 3146*cosh(x)^10 + 9075*cosh(x)^8 + 13860*cosh(x)^6 + 11515*cosh(x)^4 + 4510*cosh(x)^2 + 407)*sinh(x)^3 + 517*cosh(x)^3 + (105*cosh(x)^13 + 858*cosh(x)^11 + 3025*cosh(x)^9 + 5940*cosh(x)^7 + 6951*cosh(x)^5 + 4730*cosh(x)^3 + 1551*cosh(x))*sinh(x)^2 + (15*cosh(x)^14 + 143*cosh(x)^12 + 605*cosh(x)^10 + 1485*cosh(x)^8 + 2303*cosh(x)^6 + 2255*cosh(x)^4 + 1221*cosh(x)^2 + 165)*sinh(x) + 495*cosh(x))","B",0
98,1,925,0,0.493094," ","integrate(sech(x)^3*tanh(x)^4,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{11} + 33 \, \cosh\left(x\right) \sinh\left(x\right)^{10} + 3 \, \sinh\left(x\right)^{11} + {\left(165 \, \cosh\left(x\right)^{2} - 47\right)} \sinh\left(x\right)^{9} - 47 \, \cosh\left(x\right)^{9} + 9 \, {\left(55 \, \cosh\left(x\right)^{3} - 47 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 6 \, {\left(165 \, \cosh\left(x\right)^{4} - 282 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{7} + 78 \, \cosh\left(x\right)^{7} + 42 \, {\left(33 \, \cosh\left(x\right)^{5} - 94 \, \cosh\left(x\right)^{3} + 13 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 6 \, {\left(231 \, \cosh\left(x\right)^{6} - 987 \, \cosh\left(x\right)^{4} + 273 \, \cosh\left(x\right)^{2} - 13\right)} \sinh\left(x\right)^{5} - 78 \, \cosh\left(x\right)^{5} + 6 \, {\left(165 \, \cosh\left(x\right)^{7} - 987 \, \cosh\left(x\right)^{5} + 455 \, \cosh\left(x\right)^{3} - 65 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(495 \, \cosh\left(x\right)^{8} - 3948 \, \cosh\left(x\right)^{6} + 2730 \, \cosh\left(x\right)^{4} - 780 \, \cosh\left(x\right)^{2} + 47\right)} \sinh\left(x\right)^{3} + 47 \, \cosh\left(x\right)^{3} + 3 \, {\left(55 \, \cosh\left(x\right)^{9} - 564 \, \cosh\left(x\right)^{7} + 546 \, \cosh\left(x\right)^{5} - 260 \, \cosh\left(x\right)^{3} + 47 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{10} + 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} + 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{6} + 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} + 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} + 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} + 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} + 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} + 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(11 \, \cosh\left(x\right)^{10} - 141 \, \cosh\left(x\right)^{8} + 182 \, \cosh\left(x\right)^{6} - 130 \, \cosh\left(x\right)^{4} + 47 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right)}{24 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{10} + 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} + 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{6} + 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} + 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} + 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} + 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} + 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} + 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/24*(3*cosh(x)^11 + 33*cosh(x)*sinh(x)^10 + 3*sinh(x)^11 + (165*cosh(x)^2 - 47)*sinh(x)^9 - 47*cosh(x)^9 + 9*(55*cosh(x)^3 - 47*cosh(x))*sinh(x)^8 + 6*(165*cosh(x)^4 - 282*cosh(x)^2 + 13)*sinh(x)^7 + 78*cosh(x)^7 + 42*(33*cosh(x)^5 - 94*cosh(x)^3 + 13*cosh(x))*sinh(x)^6 + 6*(231*cosh(x)^6 - 987*cosh(x)^4 + 273*cosh(x)^2 - 13)*sinh(x)^5 - 78*cosh(x)^5 + 6*(165*cosh(x)^7 - 987*cosh(x)^5 + 455*cosh(x)^3 - 65*cosh(x))*sinh(x)^4 + (495*cosh(x)^8 - 3948*cosh(x)^6 + 2730*cosh(x)^4 - 780*cosh(x)^2 + 47)*sinh(x)^3 + 47*cosh(x)^3 + 3*(55*cosh(x)^9 - 564*cosh(x)^7 + 546*cosh(x)^5 - 260*cosh(x)^3 + 47*cosh(x))*sinh(x)^2 + 3*(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 + 1)*sinh(x)^10 + 6*cosh(x)^10 + 20*(11*cosh(x)^3 + 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 + 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 + 315*cosh(x)^4 + 105*cosh(x)^2 + 5)*sinh(x)^6 + 20*cosh(x)^6 + 24*(33*cosh(x)^7 + 63*cosh(x)^5 + 35*cosh(x)^3 + 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 + 84*cosh(x)^6 + 70*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 + 36*cosh(x)^7 + 42*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 + 45*cosh(x)^8 + 70*cosh(x)^6 + 50*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^2 + 6*cosh(x)^2 + 12*(cosh(x)^11 + 5*cosh(x)^9 + 10*cosh(x)^7 + 10*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 3*(11*cosh(x)^10 - 141*cosh(x)^8 + 182*cosh(x)^6 - 130*cosh(x)^4 + 47*cosh(x)^2 - 1)*sinh(x) - 3*cosh(x))/(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 + 1)*sinh(x)^10 + 6*cosh(x)^10 + 20*(11*cosh(x)^3 + 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 + 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 + 315*cosh(x)^4 + 105*cosh(x)^2 + 5)*sinh(x)^6 + 20*cosh(x)^6 + 24*(33*cosh(x)^7 + 63*cosh(x)^5 + 35*cosh(x)^3 + 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 + 84*cosh(x)^6 + 70*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 + 36*cosh(x)^7 + 42*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 + 45*cosh(x)^8 + 70*cosh(x)^6 + 50*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^2 + 6*cosh(x)^2 + 12*(cosh(x)^11 + 5*cosh(x)^9 + 10*cosh(x)^7 + 10*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
99,1,925,0,0.405418," ","integrate(sech(x)^5*tanh(x)^2,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{11} + 33 \, \cosh\left(x\right) \sinh\left(x\right)^{10} + 3 \, \sinh\left(x\right)^{11} + {\left(165 \, \cosh\left(x\right)^{2} + 17\right)} \sinh\left(x\right)^{9} + 17 \, \cosh\left(x\right)^{9} + 9 \, {\left(55 \, \cosh\left(x\right)^{3} + 17 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 6 \, {\left(165 \, \cosh\left(x\right)^{4} + 102 \, \cosh\left(x\right)^{2} - 19\right)} \sinh\left(x\right)^{7} - 114 \, \cosh\left(x\right)^{7} + 42 \, {\left(33 \, \cosh\left(x\right)^{5} + 34 \, \cosh\left(x\right)^{3} - 19 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 6 \, {\left(231 \, \cosh\left(x\right)^{6} + 357 \, \cosh\left(x\right)^{4} - 399 \, \cosh\left(x\right)^{2} + 19\right)} \sinh\left(x\right)^{5} + 114 \, \cosh\left(x\right)^{5} + 6 \, {\left(165 \, \cosh\left(x\right)^{7} + 357 \, \cosh\left(x\right)^{5} - 665 \, \cosh\left(x\right)^{3} + 95 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(495 \, \cosh\left(x\right)^{8} + 1428 \, \cosh\left(x\right)^{6} - 3990 \, \cosh\left(x\right)^{4} + 1140 \, \cosh\left(x\right)^{2} - 17\right)} \sinh\left(x\right)^{3} - 17 \, \cosh\left(x\right)^{3} + 3 \, {\left(55 \, \cosh\left(x\right)^{9} + 204 \, \cosh\left(x\right)^{7} - 798 \, \cosh\left(x\right)^{5} + 380 \, \cosh\left(x\right)^{3} - 17 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{10} + 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} + 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{6} + 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} + 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} + 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} + 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} + 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} + 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(11 \, \cosh\left(x\right)^{10} + 51 \, \cosh\left(x\right)^{8} - 266 \, \cosh\left(x\right)^{6} + 190 \, \cosh\left(x\right)^{4} - 17 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right)}{24 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{10} + 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} + 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{6} + 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} + 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} + 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} + 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} + 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} + 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/24*(3*cosh(x)^11 + 33*cosh(x)*sinh(x)^10 + 3*sinh(x)^11 + (165*cosh(x)^2 + 17)*sinh(x)^9 + 17*cosh(x)^9 + 9*(55*cosh(x)^3 + 17*cosh(x))*sinh(x)^8 + 6*(165*cosh(x)^4 + 102*cosh(x)^2 - 19)*sinh(x)^7 - 114*cosh(x)^7 + 42*(33*cosh(x)^5 + 34*cosh(x)^3 - 19*cosh(x))*sinh(x)^6 + 6*(231*cosh(x)^6 + 357*cosh(x)^4 - 399*cosh(x)^2 + 19)*sinh(x)^5 + 114*cosh(x)^5 + 6*(165*cosh(x)^7 + 357*cosh(x)^5 - 665*cosh(x)^3 + 95*cosh(x))*sinh(x)^4 + (495*cosh(x)^8 + 1428*cosh(x)^6 - 3990*cosh(x)^4 + 1140*cosh(x)^2 - 17)*sinh(x)^3 - 17*cosh(x)^3 + 3*(55*cosh(x)^9 + 204*cosh(x)^7 - 798*cosh(x)^5 + 380*cosh(x)^3 - 17*cosh(x))*sinh(x)^2 + 3*(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 + 1)*sinh(x)^10 + 6*cosh(x)^10 + 20*(11*cosh(x)^3 + 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 + 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 + 315*cosh(x)^4 + 105*cosh(x)^2 + 5)*sinh(x)^6 + 20*cosh(x)^6 + 24*(33*cosh(x)^7 + 63*cosh(x)^5 + 35*cosh(x)^3 + 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 + 84*cosh(x)^6 + 70*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 + 36*cosh(x)^7 + 42*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 + 45*cosh(x)^8 + 70*cosh(x)^6 + 50*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^2 + 6*cosh(x)^2 + 12*(cosh(x)^11 + 5*cosh(x)^9 + 10*cosh(x)^7 + 10*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 3*(11*cosh(x)^10 + 51*cosh(x)^8 - 266*cosh(x)^6 + 190*cosh(x)^4 - 17*cosh(x)^2 - 1)*sinh(x) - 3*cosh(x))/(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 + 1)*sinh(x)^10 + 6*cosh(x)^10 + 20*(11*cosh(x)^3 + 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 + 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 + 315*cosh(x)^4 + 105*cosh(x)^2 + 5)*sinh(x)^6 + 20*cosh(x)^6 + 24*(33*cosh(x)^7 + 63*cosh(x)^5 + 35*cosh(x)^3 + 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 + 84*cosh(x)^6 + 70*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 + 36*cosh(x)^7 + 42*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 + 45*cosh(x)^8 + 70*cosh(x)^6 + 50*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^2 + 6*cosh(x)^2 + 12*(cosh(x)^11 + 5*cosh(x)^9 + 10*cosh(x)^7 + 10*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
100,1,778,0,0.418552," ","integrate(sech(x)^8*tanh(x)^6,x, algorithm=""fricas"")","-\frac{64 \, {\left(1502 \, \cosh\left(x\right)^{9} + 13518 \, \cosh\left(x\right) \sinh\left(x\right)^{8} + 1501 \, \sinh\left(x\right)^{9} + {\left(54036 \, \cosh\left(x\right)^{2} - 4511\right)} \sinh\left(x\right)^{7} - 4498 \, \cosh\left(x\right)^{7} + 14 \, {\left(9012 \, \cosh\left(x\right)^{3} - 2249 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 3 \, {\left(63042 \, \cosh\left(x\right)^{4} - 31577 \, \cosh\left(x\right)^{2} + 2990\right)} \sinh\left(x\right)^{5} + 9048 \, \cosh\left(x\right)^{5} + 2 \, {\left(94626 \, \cosh\left(x\right)^{5} - 78715 \, \cosh\left(x\right)^{3} + 22620 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(126084 \, \cosh\left(x\right)^{6} - 157885 \, \cosh\left(x\right)^{4} + 89700 \, \cosh\left(x\right)^{2} - 8294\right)} \sinh\left(x\right)^{3} - 8008 \, \cosh\left(x\right)^{3} + 6 \, {\left(9012 \, \cosh\left(x\right)^{7} - 15743 \, \cosh\left(x\right)^{5} + 15080 \, \cosh\left(x\right)^{3} - 4004 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(13509 \, \cosh\left(x\right)^{8} - 31577 \, \cosh\left(x\right)^{6} + 44850 \, \cosh\left(x\right)^{4} - 24882 \, \cosh\left(x\right)^{2} + 6292\right)} \sinh\left(x\right) + 4004 \, \cosh\left(x\right)\right)}}{3003 \, {\left(\cosh\left(x\right)^{17} + 17 \, \cosh\left(x\right) \sinh\left(x\right)^{16} + \sinh\left(x\right)^{17} + {\left(136 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{15} + 13 \, \cosh\left(x\right)^{15} + 5 \, {\left(136 \, \cosh\left(x\right)^{3} + 39 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{14} + {\left(2380 \, \cosh\left(x\right)^{4} + 1365 \, \cosh\left(x\right)^{2} + 78\right)} \sinh\left(x\right)^{13} + 78 \, \cosh\left(x\right)^{13} + 13 \, {\left(476 \, \cosh\left(x\right)^{5} + 455 \, \cosh\left(x\right)^{3} + 78 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{12} + 13 \, {\left(952 \, \cosh\left(x\right)^{6} + 1365 \, \cosh\left(x\right)^{4} + 468 \, \cosh\left(x\right)^{2} + 22\right)} \sinh\left(x\right)^{11} + 286 \, \cosh\left(x\right)^{11} + 143 \, {\left(136 \, \cosh\left(x\right)^{7} + 273 \, \cosh\left(x\right)^{5} + 156 \, \cosh\left(x\right)^{3} + 22 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{10} + {\left(24310 \, \cosh\left(x\right)^{8} + 65065 \, \cosh\left(x\right)^{6} + 55770 \, \cosh\left(x\right)^{4} + 15730 \, \cosh\left(x\right)^{2} + 714\right)} \sinh\left(x\right)^{9} + 716 \, \cosh\left(x\right)^{9} + {\left(24310 \, \cosh\left(x\right)^{9} + 83655 \, \cosh\left(x\right)^{7} + 100386 \, \cosh\left(x\right)^{5} + 47190 \, \cosh\left(x\right)^{3} + 6444 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + {\left(19448 \, \cosh\left(x\right)^{10} + 83655 \, \cosh\left(x\right)^{8} + 133848 \, \cosh\left(x\right)^{6} + 94380 \, \cosh\left(x\right)^{4} + 25704 \, \cosh\left(x\right)^{2} + 1274\right)} \sinh\left(x\right)^{7} + 1300 \, \cosh\left(x\right)^{7} + {\left(12376 \, \cosh\left(x\right)^{11} + 65065 \, \cosh\left(x\right)^{9} + 133848 \, \cosh\left(x\right)^{7} + 132132 \, \cosh\left(x\right)^{5} + 60144 \, \cosh\left(x\right)^{3} + 9100 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(6188 \, \cosh\left(x\right)^{12} + 39039 \, \cosh\left(x\right)^{10} + 100386 \, \cosh\left(x\right)^{8} + 132132 \, \cosh\left(x\right)^{6} + 89964 \, \cosh\left(x\right)^{4} + 26754 \, \cosh\left(x\right)^{2} + 1638\right)} \sinh\left(x\right)^{5} + 1794 \, \cosh\left(x\right)^{5} + {\left(2380 \, \cosh\left(x\right)^{13} + 17745 \, \cosh\left(x\right)^{11} + 55770 \, \cosh\left(x\right)^{9} + 94380 \, \cosh\left(x\right)^{7} + 90216 \, \cosh\left(x\right)^{5} + 45500 \, \cosh\left(x\right)^{3} + 8970 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(680 \, \cosh\left(x\right)^{14} + 5915 \, \cosh\left(x\right)^{12} + 22308 \, \cosh\left(x\right)^{10} + 47190 \, \cosh\left(x\right)^{8} + 59976 \, \cosh\left(x\right)^{6} + 44590 \, \cosh\left(x\right)^{4} + 16380 \, \cosh\left(x\right)^{2} + 1430\right)} \sinh\left(x\right)^{3} + 2002 \, \cosh\left(x\right)^{3} + {\left(136 \, \cosh\left(x\right)^{15} + 1365 \, \cosh\left(x\right)^{13} + 6084 \, \cosh\left(x\right)^{11} + 15730 \, \cosh\left(x\right)^{9} + 25776 \, \cosh\left(x\right)^{7} + 27300 \, \cosh\left(x\right)^{5} + 17940 \, \cosh\left(x\right)^{3} + 6006 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(17 \, \cosh\left(x\right)^{16} + 195 \, \cosh\left(x\right)^{14} + 1014 \, \cosh\left(x\right)^{12} + 3146 \, \cosh\left(x\right)^{10} + 6426 \, \cosh\left(x\right)^{8} + 8918 \, \cosh\left(x\right)^{6} + 8190 \, \cosh\left(x\right)^{4} + 4290 \, \cosh\left(x\right)^{2} + 572\right)} \sinh\left(x\right) + 2002 \, \cosh\left(x\right)\right)}}"," ",0,"-64/3003*(1502*cosh(x)^9 + 13518*cosh(x)*sinh(x)^8 + 1501*sinh(x)^9 + (54036*cosh(x)^2 - 4511)*sinh(x)^7 - 4498*cosh(x)^7 + 14*(9012*cosh(x)^3 - 2249*cosh(x))*sinh(x)^6 + 3*(63042*cosh(x)^4 - 31577*cosh(x)^2 + 2990)*sinh(x)^5 + 9048*cosh(x)^5 + 2*(94626*cosh(x)^5 - 78715*cosh(x)^3 + 22620*cosh(x))*sinh(x)^4 + (126084*cosh(x)^6 - 157885*cosh(x)^4 + 89700*cosh(x)^2 - 8294)*sinh(x)^3 - 8008*cosh(x)^3 + 6*(9012*cosh(x)^7 - 15743*cosh(x)^5 + 15080*cosh(x)^3 - 4004*cosh(x))*sinh(x)^2 + (13509*cosh(x)^8 - 31577*cosh(x)^6 + 44850*cosh(x)^4 - 24882*cosh(x)^2 + 6292)*sinh(x) + 4004*cosh(x))/(cosh(x)^17 + 17*cosh(x)*sinh(x)^16 + sinh(x)^17 + (136*cosh(x)^2 + 13)*sinh(x)^15 + 13*cosh(x)^15 + 5*(136*cosh(x)^3 + 39*cosh(x))*sinh(x)^14 + (2380*cosh(x)^4 + 1365*cosh(x)^2 + 78)*sinh(x)^13 + 78*cosh(x)^13 + 13*(476*cosh(x)^5 + 455*cosh(x)^3 + 78*cosh(x))*sinh(x)^12 + 13*(952*cosh(x)^6 + 1365*cosh(x)^4 + 468*cosh(x)^2 + 22)*sinh(x)^11 + 286*cosh(x)^11 + 143*(136*cosh(x)^7 + 273*cosh(x)^5 + 156*cosh(x)^3 + 22*cosh(x))*sinh(x)^10 + (24310*cosh(x)^8 + 65065*cosh(x)^6 + 55770*cosh(x)^4 + 15730*cosh(x)^2 + 714)*sinh(x)^9 + 716*cosh(x)^9 + (24310*cosh(x)^9 + 83655*cosh(x)^7 + 100386*cosh(x)^5 + 47190*cosh(x)^3 + 6444*cosh(x))*sinh(x)^8 + (19448*cosh(x)^10 + 83655*cosh(x)^8 + 133848*cosh(x)^6 + 94380*cosh(x)^4 + 25704*cosh(x)^2 + 1274)*sinh(x)^7 + 1300*cosh(x)^7 + (12376*cosh(x)^11 + 65065*cosh(x)^9 + 133848*cosh(x)^7 + 132132*cosh(x)^5 + 60144*cosh(x)^3 + 9100*cosh(x))*sinh(x)^6 + (6188*cosh(x)^12 + 39039*cosh(x)^10 + 100386*cosh(x)^8 + 132132*cosh(x)^6 + 89964*cosh(x)^4 + 26754*cosh(x)^2 + 1638)*sinh(x)^5 + 1794*cosh(x)^5 + (2380*cosh(x)^13 + 17745*cosh(x)^11 + 55770*cosh(x)^9 + 94380*cosh(x)^7 + 90216*cosh(x)^5 + 45500*cosh(x)^3 + 8970*cosh(x))*sinh(x)^4 + (680*cosh(x)^14 + 5915*cosh(x)^12 + 22308*cosh(x)^10 + 47190*cosh(x)^8 + 59976*cosh(x)^6 + 44590*cosh(x)^4 + 16380*cosh(x)^2 + 1430)*sinh(x)^3 + 2002*cosh(x)^3 + (136*cosh(x)^15 + 1365*cosh(x)^13 + 6084*cosh(x)^11 + 15730*cosh(x)^9 + 25776*cosh(x)^7 + 27300*cosh(x)^5 + 17940*cosh(x)^3 + 6006*cosh(x))*sinh(x)^2 + (17*cosh(x)^16 + 195*cosh(x)^14 + 1014*cosh(x)^12 + 3146*cosh(x)^10 + 6426*cosh(x)^8 + 8918*cosh(x)^6 + 8190*cosh(x)^4 + 4290*cosh(x)^2 + 572)*sinh(x) + 2002*cosh(x))","B",0
101,1,113,0,0.507215," ","integrate(cosh(b*x+a)*coth(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
102,1,31,0,0.494217," ","integrate(cosh(b*x+a)*coth(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2} - 3}{2 \, b \sinh\left(b x + a\right)}"," ",0,"1/2*(cosh(b*x + a)^2 + sinh(b*x + a)^2 - 3)/(b*sinh(b*x + a))","A",0
103,1,612,0,0.437649," ","integrate(cosh(b*x+a)*coth(b*x+a)^3,x, algorithm=""fricas"")","\frac{\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} - 3 \, {\left(\cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\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) + \cosh\left(b x + a\right)\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)^{5} + 5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\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) + \cosh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 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}{2 \, {\left(b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + b \sinh\left(b x + a\right)^{5} - 2 \, b \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\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)^{2} + b \cosh\left(b x + a\right) + {\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)\right)}}"," ",0,"1/2*(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 - 3*(cosh(b*x + a)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 + sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 2*cosh(b*x + a)^3 + 2*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^2 + (5*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*(cosh(b*x + a)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 + sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 2*cosh(b*x + a)^3 + 2*(5*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^2 + (5*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 6*(cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + b*sinh(b*x + a)^5 - 2*b*cosh(b*x + a)^3 + 2*(5*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^3 + 2*(5*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^2 + b*cosh(b*x + a) + (5*b*cosh(b*x + a)^4 - 6*b*cosh(b*x + a)^2 + b)*sinh(b*x + a))","B",0
104,1,89,0,0.461380," ","integrate(cosh(b*x+a)*coth(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{4} + 3 \, \sinh\left(b x + a\right)^{4} + 18 \, {\left(\cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{2} - 36 \, \cosh\left(b x + a\right)^{2} + 25}{6 \, {\left(b \sinh\left(b x + a\right)^{3} + 3 \, {\left(b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/6*(3*cosh(b*x + a)^4 + 3*sinh(b*x + a)^4 + 18*(cosh(b*x + a)^2 - 2)*sinh(b*x + a)^2 - 36*cosh(b*x + a)^2 + 25)/(b*sinh(b*x + a)^3 + 3*(b*cosh(b*x + a)^2 - b)*sinh(b*x + a))","B",0
105,1,203,0,0.428620," ","integrate(cosh(b*x+a)^2*coth(b*x+a),x, algorithm=""fricas"")","-\frac{8 \, b x \cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - \sinh\left(b x + a\right)^{4} + 2 \, {\left(4 \, b x - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\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}\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(4 \, b x \cosh\left(b x + a\right) - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1}{8 \, {\left(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}\right)}}"," ",0,"-1/8*(8*b*x*cosh(b*x + a)^2 - cosh(b*x + a)^4 - 4*cosh(b*x + a)*sinh(b*x + a)^3 - sinh(b*x + a)^4 + 2*(4*b*x - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 8*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(4*b*x*cosh(b*x + a) - cosh(b*x + a)^3)*sinh(b*x + a) - 1)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
106,1,60,0,0.415331," ","integrate(cosh(b*x+a)^2*coth(b*x+a)^2,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} + 4 \, {\left(3 \, b x + 2\right)} \sinh\left(b x + a\right) - 9 \, \cosh\left(b x + a\right)}{8 \, b \sinh\left(b x + a\right)}"," ",0,"1/8*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + 4*(3*b*x + 2)*sinh(b*x + a) - 9*cosh(b*x + a))/(b*sinh(b*x + a))","A",0
107,1,743,0,0.454512," ","integrate(cosh(b*x+a)^2*coth(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} - 2 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{6} - 2 \, {\left(8 \, b x - 14 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(14 \, \cosh\left(b x + a\right)^{3} - 3 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 15 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 16 \, b x - 7\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 5 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 2 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(14 \, \cosh\left(b x + a\right)^{6} - 15 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 6 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{2} - 8 \, b x - 1\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{5} - 4 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(2 \, \cosh\left(b x + a\right)^{7} - 3 \, {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)^{5} + 2 \, {\left(16 \, b x - 7\right)} \cosh\left(b x + a\right)^{3} - {\left(8 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{8 \, {\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} - 2 \, b \cosh\left(b x + a\right)^{4} + {\left(15 \, b \cosh\left(b x + a\right)^{2} - 2 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} - 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)^{2} + {\left(15 \, b \cosh\left(b x + a\right)^{4} - 12 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{5} - 4 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/8*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 - 2*(8*b*x + 1)*cosh(b*x + a)^6 - 2*(8*b*x - 14*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^6 + 4*(14*cosh(b*x + a)^3 - 3*(8*b*x + 1)*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(16*b*x - 7)*cosh(b*x + a)^4 + 2*(35*cosh(b*x + a)^4 - 15*(8*b*x + 1)*cosh(b*x + a)^2 + 16*b*x - 7)*sinh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 5*(8*b*x + 1)*cosh(b*x + a)^3 + (16*b*x - 7)*cosh(b*x + a))*sinh(b*x + a)^3 - 2*(8*b*x + 1)*cosh(b*x + a)^2 + 2*(14*cosh(b*x + a)^6 - 15*(8*b*x + 1)*cosh(b*x + a)^4 + 6*(16*b*x - 7)*cosh(b*x + a)^2 - 8*b*x - 1)*sinh(b*x + a)^2 + 16*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a))*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(2*cosh(b*x + a)^7 - 3*(8*b*x + 1)*cosh(b*x + a)^5 + 2*(16*b*x - 7)*cosh(b*x + a)^3 - (8*b*x + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^6 + 6*b*cosh(b*x + a)*sinh(b*x + a)^5 + b*sinh(b*x + a)^6 - 2*b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 - 2*b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 - 2*b*cosh(b*x + a))*sinh(b*x + a)^3 + b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 - 12*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^5 - 4*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a))","B",0
108,1,357,0,0.523007," ","integrate(cosh(b*x+a)^3*coth(b*x+a),x, algorithm=""fricas"")","\frac{\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} + 15 \, {\left(\cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 15 \, \cosh\left(b x + a\right)^{4} + 20 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 15 \, {\left(\cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 15 \, \cosh\left(b x + a\right)^{2} - 24 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 24 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 6 \, {\left(\cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{24 \, {\left(b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3}\right)}}"," ",0,"1/24*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + 15*(cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + 15*cosh(b*x + a)^4 + 20*(cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 15*(cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 15*cosh(b*x + a)^2 - 24*(cosh(b*x + a)^3 + 3*cosh(b*x + a)^2*sinh(b*x + a) + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 24*(cosh(b*x + a)^3 + 3*cosh(b*x + a)^2*sinh(b*x + a) + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 6*(cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)^2*sinh(b*x + a) + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3)","B",0
109,1,63,0,0.444566," ","integrate(cosh(b*x+a)^3*coth(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + \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} - 45}{24 \, b \sinh\left(b x + a\right)}"," ",0,"1/24*(cosh(b*x + a)^4 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 10)*sinh(b*x + a)^2 + 20*cosh(b*x + a)^2 - 45)/(b*sinh(b*x + a))","A",0
110,1,1077,0,0.537516," ","integrate(cosh(b*x+a)^3*coth(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{10} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{9} + \sinh\left(b x + a\right)^{10} + 5 \, {\left(9 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{8} + 25 \, \cosh\left(b x + a\right)^{8} + 40 \, {\left(3 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{7} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{4} + 70 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{6} - 50 \, \cosh\left(b x + a\right)^{6} + 4 \, {\left(63 \, \cosh\left(b x + a\right)^{5} + 350 \, \cosh\left(b x + a\right)^{3} - 75 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{6} + 175 \, \cosh\left(b x + a\right)^{4} - 75 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{4} - 50 \, \cosh\left(b x + a\right)^{4} + 40 \, {\left(3 \, \cosh\left(b x + a\right)^{7} + 35 \, \cosh\left(b x + a\right)^{5} - 25 \, \cosh\left(b x + a\right)^{3} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 5 \, {\left(9 \, \cosh\left(b x + a\right)^{8} + 140 \, \cosh\left(b x + a\right)^{6} - 150 \, \cosh\left(b x + a\right)^{4} - 60 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{2} + 25 \, \cosh\left(b x + a\right)^{2} - 60 \, {\left(\cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + \sinh\left(b x + a\right)^{7} + {\left(21 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{5} - 2 \, \cosh\left(b x + a\right)^{5} + 5 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + {\left(35 \, \cosh\left(b x + a\right)^{4} - 20 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)^{3} + {\left(21 \, \cosh\left(b x + a\right)^{5} - 20 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(7 \, \cosh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{4} + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 60 \, {\left(\cosh\left(b x + a\right)^{7} + 7 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + \sinh\left(b x + a\right)^{7} + {\left(21 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{5} - 2 \, \cosh\left(b x + a\right)^{5} + 5 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + {\left(35 \, \cosh\left(b x + a\right)^{4} - 20 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)^{3} + {\left(21 \, \cosh\left(b x + a\right)^{5} - 20 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(7 \, \cosh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{4} + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 10 \, {\left(\cosh\left(b x + a\right)^{9} + 20 \, \cosh\left(b x + a\right)^{7} - 30 \, \cosh\left(b x + a\right)^{5} - 20 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{24 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} - 2 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} - 2 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 2 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + b \cosh\left(b x + a\right)^{3} + {\left(35 \, b \cosh\left(b x + a\right)^{4} - 20 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} - 20 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(7 \, b \cosh\left(b x + a\right)^{6} - 10 \, b \cosh\left(b x + a\right)^{4} + 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/24*(cosh(b*x + a)^10 + 10*cosh(b*x + a)*sinh(b*x + a)^9 + sinh(b*x + a)^10 + 5*(9*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^8 + 25*cosh(b*x + a)^8 + 40*(3*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a)^7 + 10*(21*cosh(b*x + a)^4 + 70*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^6 - 50*cosh(b*x + a)^6 + 4*(63*cosh(b*x + a)^5 + 350*cosh(b*x + a)^3 - 75*cosh(b*x + a))*sinh(b*x + a)^5 + 10*(21*cosh(b*x + a)^6 + 175*cosh(b*x + a)^4 - 75*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^4 - 50*cosh(b*x + a)^4 + 40*(3*cosh(b*x + a)^7 + 35*cosh(b*x + a)^5 - 25*cosh(b*x + a)^3 - 5*cosh(b*x + a))*sinh(b*x + a)^3 + 5*(9*cosh(b*x + a)^8 + 140*cosh(b*x + a)^6 - 150*cosh(b*x + a)^4 - 60*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^2 + 25*cosh(b*x + a)^2 - 60*(cosh(b*x + a)^7 + 7*cosh(b*x + a)*sinh(b*x + a)^6 + sinh(b*x + a)^7 + (21*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^5 - 2*cosh(b*x + a)^5 + 5*(7*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^4 + (35*cosh(b*x + a)^4 - 20*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + cosh(b*x + a)^3 + (21*cosh(b*x + a)^5 - 20*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + (7*cosh(b*x + a)^6 - 10*cosh(b*x + a)^4 + 3*cosh(b*x + a)^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 60*(cosh(b*x + a)^7 + 7*cosh(b*x + a)*sinh(b*x + a)^6 + sinh(b*x + a)^7 + (21*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^5 - 2*cosh(b*x + a)^5 + 5*(7*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^4 + (35*cosh(b*x + a)^4 - 20*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + cosh(b*x + a)^3 + (21*cosh(b*x + a)^5 - 20*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + (7*cosh(b*x + a)^6 - 10*cosh(b*x + a)^4 + 3*cosh(b*x + a)^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 10*(cosh(b*x + a)^9 + 20*cosh(b*x + a)^7 - 30*cosh(b*x + a)^5 - 20*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 - 2*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 - 2*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 - 2*b*cosh(b*x + a))*sinh(b*x + a)^4 + b*cosh(b*x + a)^3 + (35*b*cosh(b*x + a)^4 - 20*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 - 20*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^2 + (7*b*cosh(b*x + a)^6 - 10*b*cosh(b*x + a)^4 + 3*b*cosh(b*x + a)^2)*sinh(b*x + a))","B",0
111,1,457,0,0.474765," ","integrate(cosh(b*x+a)^4*coth(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{6} - 64 \, b x \cosh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 32 \, b x + 90 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 32 \, b x \cosh\left(b x + a\right) + 30 \, \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 96 \, b x \cosh\left(b x + a\right)^{2} + 45 \, \cosh\left(b x + a\right)^{4} + 3\right)} \sinh\left(b x + a\right)^{2} + 12 \, \cosh\left(b x + a\right)^{2} + 64 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4}\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 32 \, b x \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{64 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/64*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^6 - 64*b*x*cosh(b*x + a)^4 + 12*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 32*b*x + 90*cosh(b*x + a)^2)*sinh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 32*b*x*cosh(b*x + a) + 30*cosh(b*x + a)^3)*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 96*b*x*cosh(b*x + a)^2 + 45*cosh(b*x + a)^4 + 3)*sinh(b*x + a)^2 + 12*cosh(b*x + a)^2 + 64*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 8*(cosh(b*x + a)^7 - 32*b*x*cosh(b*x + a)^3 + 9*cosh(b*x + a)^5 + 3*cosh(b*x + a))*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4)","B",0
112,1,56,0,0.378904," ","integrate(coth(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*(cosh(b*x + a) + 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
113,1,86,0,0.425996," ","integrate(coth(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \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) + 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
114,1,115,0,0.483173," ","integrate(coth(b*x+a)*csch(b*x+a)^n,x, algorithm=""fricas"")","-\frac{\cosh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right) + \sinh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right)}{b n}"," ",0,"-(cosh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1))) + sinh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1))))/(b*n)","B",0
115,1,139,0,0.395866," ","integrate(coth(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, {\left(\cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2}\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 4 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - 2 \, b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, b\right)}}"," ",0,"-8/3*(cosh(b*x + a)^2 + cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 4*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - 2*b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + 3*b)","B",0
116,1,208,0,0.406805," ","integrate(coth(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + b \sinh\left(b x + a\right)^{5} - 3 \, b \cosh\left(b x + a\right)^{3} + 5 \, {\left(2 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{3} + {\left(10 \, b \cosh\left(b x + a\right)^{3} - 9 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) + 5 \, {\left(b \cosh\left(b x + a\right)^{4} - 3 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) + cosh(b*x + a))/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + b*sinh(b*x + a)^5 - 3*b*cosh(b*x + a)^3 + 5*(2*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^3 + (10*b*cosh(b*x + a)^3 - 9*b*cosh(b*x + a))*sinh(b*x + a)^2 + 2*b*cosh(b*x + a) + 5*(b*cosh(b*x + a)^4 - 3*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a))","B",0
117,1,70,0,0.443230," ","integrate(coth(b*x+a)^n*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right) \cosh\left(n \log\left(\frac{\cosh\left(b x + a\right)}{\sinh\left(b x + a\right)}\right)\right) + \cosh\left(b x + a\right) \sinh\left(n \log\left(\frac{\cosh\left(b x + a\right)}{\sinh\left(b x + a\right)}\right)\right)}{{\left(b n + b\right)} \sinh\left(b x + a\right)}"," ",0,"-(cosh(b*x + a)*cosh(n*log(cosh(b*x + a)/sinh(b*x + a))) + cosh(b*x + a)*sinh(n*log(cosh(b*x + a)/sinh(b*x + a))))/((b*n + b)*sinh(b*x + a))","B",0
118,1,171,0,0.393763," ","integrate(coth(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 3 \, \sinh\left(b x + a\right)^{3} + {\left(9 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 4 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - 2 \, b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, b\right)}}"," ",0,"-2/3*(3*cosh(b*x + a)^3 + 9*cosh(b*x + a)*sinh(b*x + a)^2 + 3*sinh(b*x + a)^3 + (9*cosh(b*x + a)^2 - 5)*sinh(b*x + a) + cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 4*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - 2*b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + 3*b)","B",0
119,1,343,0,0.388772," ","integrate(coth(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{8 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 20 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 5 \, \sinh\left(b x + a\right)^{4} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 5\right)}}{15 \, {\left(b \cosh\left(b x + a\right)^{7} + 7 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + b \sinh\left(b x + a\right)^{7} - 5 \, b \cosh\left(b x + a\right)^{5} + {\left(21 \, b \cosh\left(b x + a\right)^{2} - 5 \, b\right)} \sinh\left(b x + a\right)^{5} + 5 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 5 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{3} + {\left(35 \, b \cosh\left(b x + a\right)^{4} - 50 \, b \cosh\left(b x + a\right)^{2} + 11 \, b\right)} \sinh\left(b x + a\right)^{3} + {\left(21 \, b \cosh\left(b x + a\right)^{5} - 50 \, b \cosh\left(b x + a\right)^{3} + 27 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 5 \, b \cosh\left(b x + a\right) + {\left(7 \, b \cosh\left(b x + a\right)^{6} - 25 \, b \cosh\left(b x + a\right)^{4} + 33 \, b \cosh\left(b x + a\right)^{2} - 15 \, b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-8/15*(5*cosh(b*x + a)^4 + 20*cosh(b*x + a)*sinh(b*x + a)^3 + 5*sinh(b*x + a)^4 + 2*(15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 5)/(b*cosh(b*x + a)^7 + 7*b*cosh(b*x + a)*sinh(b*x + a)^6 + b*sinh(b*x + a)^7 - 5*b*cosh(b*x + a)^5 + (21*b*cosh(b*x + a)^2 - 5*b)*sinh(b*x + a)^5 + 5*(7*b*cosh(b*x + a)^3 - 5*b*cosh(b*x + a))*sinh(b*x + a)^4 + 9*b*cosh(b*x + a)^3 + (35*b*cosh(b*x + a)^4 - 50*b*cosh(b*x + a)^2 + 11*b)*sinh(b*x + a)^3 + (21*b*cosh(b*x + a)^5 - 50*b*cosh(b*x + a)^3 + 27*b*cosh(b*x + a))*sinh(b*x + a)^2 - 5*b*cosh(b*x + a) + (7*b*cosh(b*x + a)^6 - 25*b*cosh(b*x + a)^4 + 33*b*cosh(b*x + a)^2 - 15*b)*sinh(b*x + a))","B",0
120,1,216,0,0.446126," ","integrate(coth(b*x+a)^3*csch(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left({\left(n + 2\right)} \cosh\left(b x + a\right)^{2} + {\left(n + 2\right)} \sinh\left(b x + a\right)^{2} + n - 2\right)} \cosh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right) + {\left({\left(n + 2\right)} \cosh\left(b x + a\right)^{2} + {\left(n + 2\right)} \sinh\left(b x + a\right)^{2} + n - 2\right)} \sinh\left(n \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)}}{\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)\right)}{b n^{2} - {\left(b n^{2} + 2 \, b n\right)} \cosh\left(b x + a\right)^{2} - {\left(b n^{2} + 2 \, b n\right)} \sinh\left(b x + a\right)^{2} + 2 \, b n}"," ",0,"(((n + 2)*cosh(b*x + a)^2 + (n + 2)*sinh(b*x + a)^2 + n - 2)*cosh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1))) + ((n + 2)*cosh(b*x + a)^2 + (n + 2)*sinh(b*x + a)^2 + n - 2)*sinh(n*log(2*(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1))))/(b*n^2 - (b*n^2 + 2*b*n)*cosh(b*x + a)^2 - (b*n^2 + 2*b*n)*sinh(b*x + a)^2 + 2*b*n)","B",0
121,1,387,0,0.410880," ","integrate(coth(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, \sinh\left(b x + a\right)^{3} + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 2 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/2*(2*cosh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^2 + 2*sinh(b*x + a)^3 + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 2*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
122,1,1109,0,0.534817," ","integrate(coth(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{7} + 14 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 2 \, \sinh\left(b x + a\right)^{7} + 14 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{5} + 14 \, \cosh\left(b x + a\right)^{5} + 70 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 14 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 10 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 14 \, \cosh\left(b x + a\right)^{3} + 14 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \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) + {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \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) + 2 \, {\left(7 \, \cosh\left(b x + a\right)^{6} + 35 \, \cosh\left(b x + a\right)^{4} + 21 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 2 \, \cosh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, 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,"-1/8*(2*cosh(b*x + a)^7 + 14*cosh(b*x + a)*sinh(b*x + a)^6 + 2*sinh(b*x + a)^7 + 14*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^5 + 14*cosh(b*x + a)^5 + 70*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^4 + 14*(5*cosh(b*x + a)^4 + 10*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 14*cosh(b*x + a)^3 + 14*(3*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 - (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(7*cosh(b*x + a)^6 + 35*cosh(b*x + a)^4 + 21*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 2*cosh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 - 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
123,1,1114,0,0.527321," ","integrate(coth(b*x+a)^4*csch(b*x+a),x, algorithm=""fricas"")","-\frac{10 \, \cosh\left(b x + a\right)^{7} + 70 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 10 \, \sinh\left(b x + a\right)^{7} + 6 \, {\left(35 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{5} + 6 \, \cosh\left(b x + a\right)^{5} + 10 \, {\left(35 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(175 \, \cosh\left(b x + a\right)^{4} + 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(35 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \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)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \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) + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right) + 10 \, \cosh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, 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,"-1/8*(10*cosh(b*x + a)^7 + 70*cosh(b*x + a)*sinh(b*x + a)^6 + 10*sinh(b*x + a)^7 + 6*(35*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^5 + 6*cosh(b*x + a)^5 + 10*(35*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^4 + 2*(175*cosh(b*x + a)^4 + 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^3 + 6*cosh(b*x + a)^3 + 6*(35*cosh(b*x + a)^5 + 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 + 3*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*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)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(35*cosh(b*x + a)^6 + 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 + 5)*sinh(b*x + a) + 10*cosh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 - 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
124,1,164,0,0.484349," ","integrate(coth(x)^2*csch(x)^4,x, algorithm=""fricas"")","-\frac{8 \, {\left(7 \, \cosh\left(x\right)^{3} + 24 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 21 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 8 \, \sinh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)}}{15 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{5} - 5 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} - 50 \, \cosh\left(x\right)^{2} + 11\right)} \sinh\left(x\right)^{3} + 9 \, \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} - 50 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} - 25 \, \cosh\left(x\right)^{4} + 33 \, \cosh\left(x\right)^{2} - 15\right)} \sinh\left(x\right) - 5 \, \cosh\left(x\right)\right)}}"," ",0,"-8/15*(7*cosh(x)^3 + 24*cosh(x)^2*sinh(x) + 21*cosh(x)*sinh(x)^2 + 8*sinh(x)^3 + 5*cosh(x))/(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 - 5)*sinh(x)^5 - 5*cosh(x)^5 + 5*(7*cosh(x)^3 - 5*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 - 50*cosh(x)^2 + 11)*sinh(x)^3 + 9*cosh(x)^3 + (21*cosh(x)^5 - 50*cosh(x)^3 + 27*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 - 25*cosh(x)^4 + 33*cosh(x)^2 - 15)*sinh(x) - 5*cosh(x))","B",0
125,1,222,0,0.455700," ","integrate(coth(x)^3*csch(x)^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 \, \sinh\left(x\right)^{4} + 2 \, {\left(9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}{3 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(14 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 6 \, \cosh\left(x\right)^{6} + 4 \, {\left(14 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 45 \, \cosh\left(x\right)^{2} + 8\right)} \sinh\left(x\right)^{4} + 16 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(14 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 48 \, \cosh\left(x\right)^{2} - 13\right)} \sinh\left(x\right)^{2} - 26 \, \cosh\left(x\right)^{2} + 4 \, {\left(2 \, \cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} + 14 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 15\right)}}"," ",0,"-4/3*(3*cosh(x)^4 + 12*cosh(x)*sinh(x)^3 + 3*sinh(x)^4 + 2*(9*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 4*(3*cosh(x)^3 + cosh(x))*sinh(x) + 3)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(14*cosh(x)^2 - 3)*sinh(x)^6 - 6*cosh(x)^6 + 4*(14*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 - 45*cosh(x)^2 + 8)*sinh(x)^4 + 16*cosh(x)^4 + 8*(7*cosh(x)^5 - 15*cosh(x)^3 + 7*cosh(x))*sinh(x)^3 + 2*(14*cosh(x)^6 - 45*cosh(x)^4 + 48*cosh(x)^2 - 13)*sinh(x)^2 - 26*cosh(x)^2 + 4*(2*cosh(x)^7 - 9*cosh(x)^5 + 14*cosh(x)^3 - 7*cosh(x))*sinh(x) + 15)","B",0
126,1,114,0,0.464877," ","integrate(coth(x)^n*csch(x)^4,x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} - {\left(2 \, n + 3\right)} \cosh\left(x\right)\right)} \cosh\left(n \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right)\right) + {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} - {\left(2 \, n + 3\right)} \cosh\left(x\right)\right)} \sinh\left(n \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right)\right)\right)}}{{\left(n^{2} + 4 \, n + 3\right)} \sinh\left(x\right)^{3} + 3 \, {\left({\left(n^{2} + 4 \, n + 3\right)} \cosh\left(x\right)^{2} - n^{2} - 4 \, n - 3\right)} \sinh\left(x\right)}"," ",0,"2*((cosh(x)^3 + 3*cosh(x)*sinh(x)^2 - (2*n + 3)*cosh(x))*cosh(n*log(cosh(x)/sinh(x))) + (cosh(x)^3 + 3*cosh(x)*sinh(x)^2 - (2*n + 3)*cosh(x))*sinh(n*log(cosh(x)/sinh(x))))/((n^2 + 4*n + 3)*sinh(x)^3 + 3*((n^2 + 4*n + 3)*cosh(x)^2 - n^2 - 4*n - 3)*sinh(x))","B",0
127,1,1260,0,0.453522," ","integrate(coth(x)^4*csch(x)^3,x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(x\right)^{11} + 66 \, \cosh\left(x\right) \sinh\left(x\right)^{10} + 6 \, \sinh\left(x\right)^{11} + 2 \, {\left(165 \, \cosh\left(x\right)^{2} + 47\right)} \sinh\left(x\right)^{9} + 94 \, \cosh\left(x\right)^{9} + 18 \, {\left(55 \, \cosh\left(x\right)^{3} + 47 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 12 \, {\left(165 \, \cosh\left(x\right)^{4} + 282 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{7} + 156 \, \cosh\left(x\right)^{7} + 84 \, {\left(33 \, \cosh\left(x\right)^{5} + 94 \, \cosh\left(x\right)^{3} + 13 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 12 \, {\left(231 \, \cosh\left(x\right)^{6} + 987 \, \cosh\left(x\right)^{4} + 273 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{5} + 156 \, \cosh\left(x\right)^{5} + 12 \, {\left(165 \, \cosh\left(x\right)^{7} + 987 \, \cosh\left(x\right)^{5} + 455 \, \cosh\left(x\right)^{3} + 65 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(495 \, \cosh\left(x\right)^{8} + 3948 \, \cosh\left(x\right)^{6} + 2730 \, \cosh\left(x\right)^{4} + 780 \, \cosh\left(x\right)^{2} + 47\right)} \sinh\left(x\right)^{3} + 94 \, \cosh\left(x\right)^{3} + 6 \, {\left(55 \, \cosh\left(x\right)^{9} + 564 \, \cosh\left(x\right)^{7} + 546 \, \cosh\left(x\right)^{5} + 260 \, \cosh\left(x\right)^{3} + 47 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{10} - 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} - 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} - 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} - 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} - 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{10} - 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} - 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} - 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} - 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} - 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, {\left(11 \, \cosh\left(x\right)^{10} + 141 \, \cosh\left(x\right)^{8} + 182 \, \cosh\left(x\right)^{6} + 130 \, \cosh\left(x\right)^{4} + 47 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + 6 \, \cosh\left(x\right)}{48 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 6 \, {\left(11 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{10} - 6 \, \cosh\left(x\right)^{10} + 20 \, {\left(11 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(33 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{8} + 15 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(231 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 105 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 20 \, \cosh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} - 84 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} - 36 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 45 \, \cosh\left(x\right)^{8} + 70 \, \cosh\left(x\right)^{6} - 50 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 5 \, \cosh\left(x\right)^{9} + 10 \, \cosh\left(x\right)^{7} - 10 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/48*(6*cosh(x)^11 + 66*cosh(x)*sinh(x)^10 + 6*sinh(x)^11 + 2*(165*cosh(x)^2 + 47)*sinh(x)^9 + 94*cosh(x)^9 + 18*(55*cosh(x)^3 + 47*cosh(x))*sinh(x)^8 + 12*(165*cosh(x)^4 + 282*cosh(x)^2 + 13)*sinh(x)^7 + 156*cosh(x)^7 + 84*(33*cosh(x)^5 + 94*cosh(x)^3 + 13*cosh(x))*sinh(x)^6 + 12*(231*cosh(x)^6 + 987*cosh(x)^4 + 273*cosh(x)^2 + 13)*sinh(x)^5 + 156*cosh(x)^5 + 12*(165*cosh(x)^7 + 987*cosh(x)^5 + 455*cosh(x)^3 + 65*cosh(x))*sinh(x)^4 + 2*(495*cosh(x)^8 + 3948*cosh(x)^6 + 2730*cosh(x)^4 + 780*cosh(x)^2 + 47)*sinh(x)^3 + 94*cosh(x)^3 + 6*(55*cosh(x)^9 + 564*cosh(x)^7 + 546*cosh(x)^5 + 260*cosh(x)^3 + 47*cosh(x))*sinh(x)^2 - 3*(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 - 1)*sinh(x)^10 - 6*cosh(x)^10 + 20*(11*cosh(x)^3 - 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 - 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 - 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 - 315*cosh(x)^4 + 105*cosh(x)^2 - 5)*sinh(x)^6 - 20*cosh(x)^6 + 24*(33*cosh(x)^7 - 63*cosh(x)^5 + 35*cosh(x)^3 - 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 - 84*cosh(x)^6 + 70*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 - 36*cosh(x)^7 + 42*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 45*cosh(x)^8 + 70*cosh(x)^6 - 50*cosh(x)^4 + 15*cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 12*(cosh(x)^11 - 5*cosh(x)^9 + 10*cosh(x)^7 - 10*cosh(x)^5 + 5*cosh(x)^3 - cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 3*(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 - 1)*sinh(x)^10 - 6*cosh(x)^10 + 20*(11*cosh(x)^3 - 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 - 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 - 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 - 315*cosh(x)^4 + 105*cosh(x)^2 - 5)*sinh(x)^6 - 20*cosh(x)^6 + 24*(33*cosh(x)^7 - 63*cosh(x)^5 + 35*cosh(x)^3 - 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 - 84*cosh(x)^6 + 70*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 - 36*cosh(x)^7 + 42*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 45*cosh(x)^8 + 70*cosh(x)^6 - 50*cosh(x)^4 + 15*cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 12*(cosh(x)^11 - 5*cosh(x)^9 + 10*cosh(x)^7 - 10*cosh(x)^5 + 5*cosh(x)^3 - cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 6*(11*cosh(x)^10 + 141*cosh(x)^8 + 182*cosh(x)^6 + 130*cosh(x)^4 + 47*cosh(x)^2 + 1)*sinh(x) + 6*cosh(x))/(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 6*(11*cosh(x)^2 - 1)*sinh(x)^10 - 6*cosh(x)^10 + 20*(11*cosh(x)^3 - 3*cosh(x))*sinh(x)^9 + 15*(33*cosh(x)^4 - 18*cosh(x)^2 + 1)*sinh(x)^8 + 15*cosh(x)^8 + 24*(33*cosh(x)^5 - 30*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 4*(231*cosh(x)^6 - 315*cosh(x)^4 + 105*cosh(x)^2 - 5)*sinh(x)^6 - 20*cosh(x)^6 + 24*(33*cosh(x)^7 - 63*cosh(x)^5 + 35*cosh(x)^3 - 5*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 - 84*cosh(x)^6 + 70*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^4 + 15*cosh(x)^4 + 20*(11*cosh(x)^9 - 36*cosh(x)^7 + 42*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 45*cosh(x)^8 + 70*cosh(x)^6 - 50*cosh(x)^4 + 15*cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 12*(cosh(x)^11 - 5*cosh(x)^9 + 10*cosh(x)^7 - 10*cosh(x)^5 + 5*cosh(x)^3 - cosh(x))*sinh(x) + 1)","B",0
128,1,430,0,0.384832," ","integrate(coth(x)^4*csch(x)^6,x, algorithm=""fricas"")","-\frac{16 \, {\left(211 \, \cosh\left(x\right)^{6} + 1254 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + 211 \, \sinh\left(x\right)^{6} + 3 \, {\left(1055 \, \cosh\left(x\right)^{2} + 102\right)} \sinh\left(x\right)^{4} + 306 \, \cosh\left(x\right)^{4} + 4 \, {\left(1045 \, \cosh\left(x\right)^{3} + 324 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(1055 \, \cosh\left(x\right)^{4} + 612 \, \cosh\left(x\right)^{2} + 159\right)} \sinh\left(x\right)^{2} + 477 \, \cosh\left(x\right)^{2} + 6 \, {\left(209 \, \cosh\left(x\right)^{5} + 216 \, \cosh\left(x\right)^{3} + 135 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 126\right)}}{315 \, {\left(\cosh\left(x\right)^{12} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 3 \, {\left(22 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{10} - 9 \, \cosh\left(x\right)^{10} + 10 \, {\left(22 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 9 \, {\left(55 \, \cosh\left(x\right)^{4} - 45 \, \cosh\left(x\right)^{2} + 4\right)} \sinh\left(x\right)^{8} + 36 \, \cosh\left(x\right)^{8} + 72 \, {\left(11 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + {\left(924 \, \cosh\left(x\right)^{6} - 1890 \, \cosh\left(x\right)^{4} + 1008 \, \cosh\left(x\right)^{2} - 85\right)} \sinh\left(x\right)^{6} - 85 \, \cosh\left(x\right)^{6} + 6 \, {\left(132 \, \cosh\left(x\right)^{7} - 378 \, \cosh\left(x\right)^{5} + 336 \, \cosh\left(x\right)^{3} - 83 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, \cosh\left(x\right)^{8} - 126 \, \cosh\left(x\right)^{6} + 168 \, \cosh\left(x\right)^{4} - 85 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{4} + 135 \, \cosh\left(x\right)^{4} + 4 \, {\left(55 \, \cosh\left(x\right)^{9} - 270 \, \cosh\left(x\right)^{7} + 504 \, \cosh\left(x\right)^{5} - 415 \, \cosh\left(x\right)^{3} + 117 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(22 \, \cosh\left(x\right)^{10} - 135 \, \cosh\left(x\right)^{8} + 336 \, \cosh\left(x\right)^{6} - 425 \, \cosh\left(x\right)^{4} + 270 \, \cosh\left(x\right)^{2} - 54\right)} \sinh\left(x\right)^{2} - 162 \, \cosh\left(x\right)^{2} + 6 \, {\left(2 \, \cosh\left(x\right)^{11} - 15 \, \cosh\left(x\right)^{9} + 48 \, \cosh\left(x\right)^{7} - 83 \, \cosh\left(x\right)^{5} + 78 \, \cosh\left(x\right)^{3} - 30 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 84\right)}}"," ",0,"-16/315*(211*cosh(x)^6 + 1254*cosh(x)*sinh(x)^5 + 211*sinh(x)^6 + 3*(1055*cosh(x)^2 + 102)*sinh(x)^4 + 306*cosh(x)^4 + 4*(1045*cosh(x)^3 + 324*cosh(x))*sinh(x)^3 + 3*(1055*cosh(x)^4 + 612*cosh(x)^2 + 159)*sinh(x)^2 + 477*cosh(x)^2 + 6*(209*cosh(x)^5 + 216*cosh(x)^3 + 135*cosh(x))*sinh(x) + 126)/(cosh(x)^12 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 3*(22*cosh(x)^2 - 3)*sinh(x)^10 - 9*cosh(x)^10 + 10*(22*cosh(x)^3 - 9*cosh(x))*sinh(x)^9 + 9*(55*cosh(x)^4 - 45*cosh(x)^2 + 4)*sinh(x)^8 + 36*cosh(x)^8 + 72*(11*cosh(x)^5 - 15*cosh(x)^3 + 4*cosh(x))*sinh(x)^7 + (924*cosh(x)^6 - 1890*cosh(x)^4 + 1008*cosh(x)^2 - 85)*sinh(x)^6 - 85*cosh(x)^6 + 6*(132*cosh(x)^7 - 378*cosh(x)^5 + 336*cosh(x)^3 - 83*cosh(x))*sinh(x)^5 + 15*(33*cosh(x)^8 - 126*cosh(x)^6 + 168*cosh(x)^4 - 85*cosh(x)^2 + 9)*sinh(x)^4 + 135*cosh(x)^4 + 4*(55*cosh(x)^9 - 270*cosh(x)^7 + 504*cosh(x)^5 - 415*cosh(x)^3 + 117*cosh(x))*sinh(x)^3 + 3*(22*cosh(x)^10 - 135*cosh(x)^8 + 336*cosh(x)^6 - 425*cosh(x)^4 + 270*cosh(x)^2 - 54)*sinh(x)^2 - 162*cosh(x)^2 + 6*(2*cosh(x)^11 - 15*cosh(x)^9 + 48*cosh(x)^7 - 83*cosh(x)^5 + 78*cosh(x)^3 - 30*cosh(x))*sinh(x) + 84)","B",0
129,1,250,0,0.416951," ","integrate(coth(6*x)^5*csch(6*x),x, algorithm=""fricas"")","-\frac{15 \, \cosh\left(6 \, x\right)^{5} + 75 \, \cosh\left(6 \, x\right) \sinh\left(6 \, x\right)^{4} + 15 \, \sinh\left(6 \, x\right)^{5} + 5 \, {\left(30 \, \cosh\left(6 \, x\right)^{2} - 7\right)} \sinh\left(6 \, x\right)^{3} - 5 \, \cosh\left(6 \, x\right)^{3} + 15 \, {\left(10 \, \cosh\left(6 \, x\right)^{3} - \cosh\left(6 \, x\right)\right)} \sinh\left(6 \, x\right)^{2} + 3 \, {\left(25 \, \cosh\left(6 \, x\right)^{4} - 35 \, \cosh\left(6 \, x\right)^{2} + 26\right)} \sinh\left(6 \, x\right) + 38 \, \cosh\left(6 \, x\right)}{45 \, {\left(\cosh\left(6 \, x\right)^{6} + 6 \, \cosh\left(6 \, x\right) \sinh\left(6 \, x\right)^{5} + \sinh\left(6 \, x\right)^{6} + 3 \, {\left(5 \, \cosh\left(6 \, x\right)^{2} - 2\right)} \sinh\left(6 \, x\right)^{4} - 6 \, \cosh\left(6 \, x\right)^{4} + 4 \, {\left(5 \, \cosh\left(6 \, x\right)^{3} - 4 \, \cosh\left(6 \, x\right)\right)} \sinh\left(6 \, x\right)^{3} + 3 \, {\left(5 \, \cosh\left(6 \, x\right)^{4} - 12 \, \cosh\left(6 \, x\right)^{2} + 5\right)} \sinh\left(6 \, x\right)^{2} + 15 \, \cosh\left(6 \, x\right)^{2} + 2 \, {\left(3 \, \cosh\left(6 \, x\right)^{5} - 8 \, \cosh\left(6 \, x\right)^{3} + 5 \, \cosh\left(6 \, x\right)\right)} \sinh\left(6 \, x\right) - 10\right)}}"," ",0,"-1/45*(15*cosh(6*x)^5 + 75*cosh(6*x)*sinh(6*x)^4 + 15*sinh(6*x)^5 + 5*(30*cosh(6*x)^2 - 7)*sinh(6*x)^3 - 5*cosh(6*x)^3 + 15*(10*cosh(6*x)^3 - cosh(6*x))*sinh(6*x)^2 + 3*(25*cosh(6*x)^4 - 35*cosh(6*x)^2 + 26)*sinh(6*x) + 38*cosh(6*x))/(cosh(6*x)^6 + 6*cosh(6*x)*sinh(6*x)^5 + sinh(6*x)^6 + 3*(5*cosh(6*x)^2 - 2)*sinh(6*x)^4 - 6*cosh(6*x)^4 + 4*(5*cosh(6*x)^3 - 4*cosh(6*x))*sinh(6*x)^3 + 3*(5*cosh(6*x)^4 - 12*cosh(6*x)^2 + 5)*sinh(6*x)^2 + 15*cosh(6*x)^2 + 2*(3*cosh(6*x)^5 - 8*cosh(6*x)^3 + 5*cosh(6*x))*sinh(6*x) - 10)","B",0
130,1,442,0,0.681538," ","integrate(coth(x)^7*csch(x)^3,x, algorithm=""fricas"")","-\frac{8 \, {\left(105 \, \cosh\left(x\right)^{8} + 840 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 105 \, \sinh\left(x\right)^{8} + 42 \, {\left(70 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{6} + 126 \, \cosh\left(x\right)^{6} + 84 \, {\left(70 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(1225 \, \cosh\left(x\right)^{4} + 315 \, \cosh\left(x\right)^{2} + 136\right)} \sinh\left(x\right)^{4} + 816 \, \cosh\left(x\right)^{4} + 24 \, {\left(245 \, \cosh\left(x\right)^{5} + 105 \, \cosh\left(x\right)^{3} + 101 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(1470 \, \cosh\left(x\right)^{6} + 945 \, \cosh\left(x\right)^{4} + 2448 \, \cosh\left(x\right)^{2} + 241\right)} \sinh\left(x\right)^{2} + 482 \, \cosh\left(x\right)^{2} + 4 \, {\left(210 \, \cosh\left(x\right)^{7} + 189 \, \cosh\left(x\right)^{5} + 606 \, \cosh\left(x\right)^{3} + 115 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 711\right)}}{315 \, {\left(\cosh\left(x\right)^{11} + 11 \, \cosh\left(x\right) \sinh\left(x\right)^{10} + \sinh\left(x\right)^{11} + {\left(55 \, \cosh\left(x\right)^{2} - 9\right)} \sinh\left(x\right)^{9} - 9 \, \cosh\left(x\right)^{9} + 3 \, {\left(55 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + {\left(330 \, \cosh\left(x\right)^{4} - 324 \, \cosh\left(x\right)^{2} + 37\right)} \sinh\left(x\right)^{7} + 35 \, \cosh\left(x\right)^{7} + 7 \, {\left(66 \, \cosh\left(x\right)^{5} - 108 \, \cosh\left(x\right)^{3} + 35 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 3 \, {\left(154 \, \cosh\left(x\right)^{6} - 378 \, \cosh\left(x\right)^{4} + 259 \, \cosh\left(x\right)^{2} - 31\right)} \sinh\left(x\right)^{5} - 75 \, \cosh\left(x\right)^{5} + {\left(330 \, \cosh\left(x\right)^{7} - 1134 \, \cosh\left(x\right)^{5} + 1225 \, \cosh\left(x\right)^{3} - 375 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(165 \, \cosh\left(x\right)^{8} - 756 \, \cosh\left(x\right)^{6} + 1295 \, \cosh\left(x\right)^{4} - 930 \, \cosh\left(x\right)^{2} + 162\right)} \sinh\left(x\right)^{3} + 90 \, \cosh\left(x\right)^{3} + {\left(55 \, \cosh\left(x\right)^{9} - 324 \, \cosh\left(x\right)^{7} + 735 \, \cosh\left(x\right)^{5} - 750 \, \cosh\left(x\right)^{3} + 270 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(11 \, \cosh\left(x\right)^{10} - 81 \, \cosh\left(x\right)^{8} + 259 \, \cosh\left(x\right)^{6} - 465 \, \cosh\left(x\right)^{4} + 486 \, \cosh\left(x\right)^{2} - 210\right)} \sinh\left(x\right) - 42 \, \cosh\left(x\right)\right)}}"," ",0,"-8/315*(105*cosh(x)^8 + 840*cosh(x)*sinh(x)^7 + 105*sinh(x)^8 + 42*(70*cosh(x)^2 + 3)*sinh(x)^6 + 126*cosh(x)^6 + 84*(70*cosh(x)^3 + 9*cosh(x))*sinh(x)^5 + 6*(1225*cosh(x)^4 + 315*cosh(x)^2 + 136)*sinh(x)^4 + 816*cosh(x)^4 + 24*(245*cosh(x)^5 + 105*cosh(x)^3 + 101*cosh(x))*sinh(x)^3 + 2*(1470*cosh(x)^6 + 945*cosh(x)^4 + 2448*cosh(x)^2 + 241)*sinh(x)^2 + 482*cosh(x)^2 + 4*(210*cosh(x)^7 + 189*cosh(x)^5 + 606*cosh(x)^3 + 115*cosh(x))*sinh(x) + 711)/(cosh(x)^11 + 11*cosh(x)*sinh(x)^10 + sinh(x)^11 + (55*cosh(x)^2 - 9)*sinh(x)^9 - 9*cosh(x)^9 + 3*(55*cosh(x)^3 - 27*cosh(x))*sinh(x)^8 + (330*cosh(x)^4 - 324*cosh(x)^2 + 37)*sinh(x)^7 + 35*cosh(x)^7 + 7*(66*cosh(x)^5 - 108*cosh(x)^3 + 35*cosh(x))*sinh(x)^6 + 3*(154*cosh(x)^6 - 378*cosh(x)^4 + 259*cosh(x)^2 - 31)*sinh(x)^5 - 75*cosh(x)^5 + (330*cosh(x)^7 - 1134*cosh(x)^5 + 1225*cosh(x)^3 - 375*cosh(x))*sinh(x)^4 + (165*cosh(x)^8 - 756*cosh(x)^6 + 1295*cosh(x)^4 - 930*cosh(x)^2 + 162)*sinh(x)^3 + 90*cosh(x)^3 + (55*cosh(x)^9 - 324*cosh(x)^7 + 735*cosh(x)^5 - 750*cosh(x)^3 + 270*cosh(x))*sinh(x)^2 + (11*cosh(x)^10 - 81*cosh(x)^8 + 259*cosh(x)^6 - 465*cosh(x)^4 + 486*cosh(x)^2 - 210)*sinh(x) - 42*cosh(x))","B",0
131,1,87,0,0.458767," ","integrate(sinh(b*x+a)*sinh(b*x+c),x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(b x + c\right) + \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right) + \sinh\left(b x + c\right)^{2} \sinh\left(-a + c\right)}{4 \, {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)}}"," ",0,"-1/4*(2*b*x*cosh(-a + c) - 2*cosh(b*x + c)*cosh(-a + c)*sinh(b*x + c) + cosh(b*x + c)^2*sinh(-a + c) + sinh(b*x + c)^2*sinh(-a + c))/(b*cosh(-a + c)^2 - b*sinh(-a + c)^2)","B",0
132,1,75,0,0.408916," ","integrate(-sinh(b*x-c)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(a + c\right) - 2 \, \cosh\left(b x + a\right) \cosh\left(a + c\right) \sinh\left(b x + a\right) + \cosh\left(b x + a\right)^{2} \sinh\left(a + c\right) + \sinh\left(b x + a\right)^{2} \sinh\left(a + c\right)}{4 \, {\left(b \cosh\left(a + c\right)^{2} - b \sinh\left(a + c\right)^{2}\right)}}"," ",0,"1/4*(2*b*x*cosh(a + c) - 2*cosh(b*x + a)*cosh(a + c)*sinh(b*x + a) + cosh(b*x + a)^2*sinh(a + c) + sinh(b*x + a)^2*sinh(a + c))/(b*cosh(a + c)^2 - b*sinh(a + c)^2)","B",0
133,1,89,0,0.411702," ","integrate(cosh(b*x+a)*cosh(b*x+c),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(b x + c\right) - \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right) - \sinh\left(b x + c\right)^{2} \sinh\left(-a + c\right)}{4 \, {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)}}"," ",0,"1/4*(2*b*x*cosh(-a + c) + 2*cosh(b*x + c)*cosh(-a + c)*sinh(b*x + c) - cosh(b*x + c)^2*sinh(-a + c) - sinh(b*x + c)^2*sinh(-a + c))/(b*cosh(-a + c)^2 - b*sinh(-a + c)^2)","B",0
134,1,77,0,0.417983," ","integrate(cosh(b*x-c)*cosh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(a + c\right) + 2 \, \cosh\left(b x + a\right) \cosh\left(a + c\right) \sinh\left(b x + a\right) - \cosh\left(b x + a\right)^{2} \sinh\left(a + c\right) - \sinh\left(b x + a\right)^{2} \sinh\left(a + c\right)}{4 \, {\left(b \cosh\left(a + c\right)^{2} - b \sinh\left(a + c\right)^{2}\right)}}"," ",0,"1/4*(2*b*x*cosh(a + c) + 2*cosh(b*x + a)*cosh(a + c)*sinh(b*x + a) - cosh(b*x + a)^2*sinh(a + c) - sinh(b*x + a)^2*sinh(a + c))/(b*cosh(a + c)^2 - b*sinh(a + c)^2)","B",0
135,1,259,0,0.434675," ","integrate(tanh(b*x+a)*tanh(b*x+c),x, algorithm=""fricas"")","\frac{b x \cosh\left(-a + c\right)^{2} - 2 \, b x \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b x \sinh\left(-a + c\right)^{2} - b x - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right) - \sinh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{\cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(\cosh\left(-a + c\right) + \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)}\right) + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{b \cosh\left(-a + c\right)^{2} - 2 \, b \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b \sinh\left(-a + c\right)^{2} - b}"," ",0,"(b*x*cosh(-a + c)^2 - 2*b*x*cosh(-a + c)*sinh(-a + c) + b*x*sinh(-a + c)^2 - b*x - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*(cosh(b*x + c)*cosh(-a + c) - sinh(b*x + c)*sinh(-a + c))/(cosh(b*x + c)*cosh(-a + c) - (cosh(-a + c) + sinh(-a + c))*sinh(b*x + c) + cosh(b*x + c)*sinh(-a + c))) + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*cosh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c)^2 - 2*b*cosh(-a + c)*sinh(-a + c) + b*sinh(-a + c)^2 - b)","B",0
136,1,216,0,0.439573," ","integrate(-tanh(b*x-c)*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{b x \cosh\left(a + c\right)^{2} - 2 \, b x \cosh\left(a + c\right) \sinh\left(a + c\right) + b x \sinh\left(a + c\right)^{2} - b x - {\left(\cosh\left(a + c\right)^{2} - 2 \, \cosh\left(a + c\right) \sinh\left(a + c\right) + \sinh\left(a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) \cosh\left(a + c\right) - \sinh\left(b x + a\right) \sinh\left(a + c\right)\right)}}{\cosh\left(b x + a\right) \cosh\left(a + c\right) - {\left(\cosh\left(a + c\right) + \sinh\left(a + c\right)\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(a + c\right)}\right) + {\left(\cosh\left(a + c\right)^{2} - 2 \, \cosh\left(a + c\right) \sinh\left(a + c\right) + \sinh\left(a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b \cosh\left(a + c\right)^{2} - 2 \, b \cosh\left(a + c\right) \sinh\left(a + c\right) + b \sinh\left(a + c\right)^{2} - b}"," ",0,"-(b*x*cosh(a + c)^2 - 2*b*x*cosh(a + c)*sinh(a + c) + b*x*sinh(a + c)^2 - b*x - (cosh(a + c)^2 - 2*cosh(a + c)*sinh(a + c) + sinh(a + c)^2 + 1)*log(2*(cosh(b*x + a)*cosh(a + c) - sinh(b*x + a)*sinh(a + c))/(cosh(b*x + a)*cosh(a + c) - (cosh(a + c) + sinh(a + c))*sinh(b*x + a) + cosh(b*x + a)*sinh(a + c))) + (cosh(a + c)^2 - 2*cosh(a + c)*sinh(a + c) + sinh(a + c)^2 + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b*cosh(a + c)^2 - 2*b*cosh(a + c)*sinh(a + c) + b*sinh(a + c)^2 - b)","B",0
137,1,259,0,0.452803," ","integrate(coth(b*x+a)*coth(b*x+c),x, algorithm=""fricas"")","\frac{b x \cosh\left(-a + c\right)^{2} - 2 \, b x \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b x \sinh\left(-a + c\right)^{2} - b x - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, {\left(\cosh\left(-a + c\right) \sinh\left(b x + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{\cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(\cosh\left(-a + c\right) + \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)}\right) + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{b \cosh\left(-a + c\right)^{2} - 2 \, b \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b \sinh\left(-a + c\right)^{2} - b}"," ",0,"(b*x*cosh(-a + c)^2 - 2*b*x*cosh(-a + c)*sinh(-a + c) + b*x*sinh(-a + c)^2 - b*x - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*(cosh(-a + c)*sinh(b*x + c) - cosh(b*x + c)*sinh(-a + c))/(cosh(b*x + c)*cosh(-a + c) - (cosh(-a + c) + sinh(-a + c))*sinh(b*x + c) + cosh(b*x + c)*sinh(-a + c))) + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*sinh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c)^2 - 2*b*cosh(-a + c)*sinh(-a + c) + b*sinh(-a + c)^2 - b)","B",0
138,1,216,0,0.528510," ","integrate(-coth(b*x-c)*coth(b*x+a),x, algorithm=""fricas"")","-\frac{b x \cosh\left(a + c\right)^{2} - 2 \, b x \cosh\left(a + c\right) \sinh\left(a + c\right) + b x \sinh\left(a + c\right)^{2} - b x - {\left(\cosh\left(a + c\right)^{2} - 2 \, \cosh\left(a + c\right) \sinh\left(a + c\right) + \sinh\left(a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, {\left(\cosh\left(a + c\right) \sinh\left(b x + a\right) - \cosh\left(b x + a\right) \sinh\left(a + c\right)\right)}}{\cosh\left(b x + a\right) \cosh\left(a + c\right) - {\left(\cosh\left(a + c\right) + \sinh\left(a + c\right)\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(a + c\right)}\right) + {\left(\cosh\left(a + c\right)^{2} - 2 \, \cosh\left(a + c\right) \sinh\left(a + c\right) + \sinh\left(a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b \cosh\left(a + c\right)^{2} - 2 \, b \cosh\left(a + c\right) \sinh\left(a + c\right) + b \sinh\left(a + c\right)^{2} - b}"," ",0,"-(b*x*cosh(a + c)^2 - 2*b*x*cosh(a + c)*sinh(a + c) + b*x*sinh(a + c)^2 - b*x - (cosh(a + c)^2 - 2*cosh(a + c)*sinh(a + c) + sinh(a + c)^2 + 1)*log(2*(cosh(a + c)*sinh(b*x + a) - cosh(b*x + a)*sinh(a + c))/(cosh(b*x + a)*cosh(a + c) - (cosh(a + c) + sinh(a + c))*sinh(b*x + a) + cosh(b*x + a)*sinh(a + c))) + (cosh(a + c)^2 - 2*cosh(a + c)*sinh(a + c) + sinh(a + c)^2 + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b*cosh(a + c)^2 - 2*b*cosh(a + c)*sinh(a + c) + b*sinh(a + c)^2 - b)","B",0
139,1,184,0,0.594401," ","integrate(sech(b*x+a)*sech(b*x+c),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(-a + c\right) - \sinh\left(-a + c\right)\right)} \log\left(\frac{2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right) - \sinh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{\cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(\cosh\left(-a + c\right) + \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)}\right) - {\left(\cosh\left(-a + c\right) - \sinh\left(-a + c\right)\right)} \log\left(\frac{2 \, \cosh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)\right)}}{b \cosh\left(-a + c\right)^{2} - 2 \, b \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b \sinh\left(-a + c\right)^{2} - b}"," ",0,"2*((cosh(-a + c) - sinh(-a + c))*log(2*(cosh(b*x + c)*cosh(-a + c) - sinh(b*x + c)*sinh(-a + c))/(cosh(b*x + c)*cosh(-a + c) - (cosh(-a + c) + sinh(-a + c))*sinh(b*x + c) + cosh(b*x + c)*sinh(-a + c))) - (cosh(-a + c) - sinh(-a + c))*log(2*cosh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c)^2 - 2*b*cosh(-a + c)*sinh(-a + c) + b*sinh(-a + c)^2 - b)","B",0
140,1,156,0,0.424108," ","integrate(sech(b*x-c)*sech(b*x+a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(a + c\right) - \sinh\left(a + c\right)\right)} \log\left(\frac{2 \, {\left(\cosh\left(b x + a\right) \cosh\left(a + c\right) - \sinh\left(b x + a\right) \sinh\left(a + c\right)\right)}}{\cosh\left(b x + a\right) \cosh\left(a + c\right) - {\left(\cosh\left(a + c\right) + \sinh\left(a + c\right)\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(a + c\right)}\right) - {\left(\cosh\left(a + c\right) - \sinh\left(a + c\right)\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)\right)}}{b \cosh\left(a + c\right)^{2} - 2 \, b \cosh\left(a + c\right) \sinh\left(a + c\right) + b \sinh\left(a + c\right)^{2} - b}"," ",0,"2*((cosh(a + c) - sinh(a + c))*log(2*(cosh(b*x + a)*cosh(a + c) - sinh(b*x + a)*sinh(a + c))/(cosh(b*x + a)*cosh(a + c) - (cosh(a + c) + sinh(a + c))*sinh(b*x + a) + cosh(b*x + a)*sinh(a + c))) - (cosh(a + c) - sinh(a + c))*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b*cosh(a + c)^2 - 2*b*cosh(a + c)*sinh(a + c) + b*sinh(a + c)^2 - b)","B",0
141,1,184,0,0.526534," ","integrate(csch(b*x+a)*csch(b*x+c),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(\cosh\left(-a + c\right) - \sinh\left(-a + c\right)\right)} \log\left(\frac{2 \, {\left(\cosh\left(-a + c\right) \sinh\left(b x + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{\cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(\cosh\left(-a + c\right) + \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)}\right) - {\left(\cosh\left(-a + c\right) - \sinh\left(-a + c\right)\right)} \log\left(\frac{2 \, \sinh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)\right)}}{b \cosh\left(-a + c\right)^{2} - 2 \, b \cosh\left(-a + c\right) \sinh\left(-a + c\right) + b \sinh\left(-a + c\right)^{2} - b}"," ",0,"-2*((cosh(-a + c) - sinh(-a + c))*log(2*(cosh(-a + c)*sinh(b*x + c) - cosh(b*x + c)*sinh(-a + c))/(cosh(b*x + c)*cosh(-a + c) - (cosh(-a + c) + sinh(-a + c))*sinh(b*x + c) + cosh(b*x + c)*sinh(-a + c))) - (cosh(-a + c) - sinh(-a + c))*log(2*sinh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c)^2 - 2*b*cosh(-a + c)*sinh(-a + c) + b*sinh(-a + c)^2 - b)","B",0
142,1,156,0,0.455260," ","integrate(-csch(b*x-c)*csch(b*x+a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(a + c\right) - \sinh\left(a + c\right)\right)} \log\left(\frac{2 \, {\left(\cosh\left(a + c\right) \sinh\left(b x + a\right) - \cosh\left(b x + a\right) \sinh\left(a + c\right)\right)}}{\cosh\left(b x + a\right) \cosh\left(a + c\right) - {\left(\cosh\left(a + c\right) + \sinh\left(a + c\right)\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(a + c\right)}\right) - {\left(\cosh\left(a + c\right) - \sinh\left(a + c\right)\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)\right)}}{b \cosh\left(a + c\right)^{2} - 2 \, b \cosh\left(a + c\right) \sinh\left(a + c\right) + b \sinh\left(a + c\right)^{2} - b}"," ",0,"2*((cosh(a + c) - sinh(a + c))*log(2*(cosh(a + c)*sinh(b*x + a) - cosh(b*x + a)*sinh(a + c))/(cosh(b*x + a)*cosh(a + c) - (cosh(a + c) + sinh(a + c))*sinh(b*x + a) + cosh(b*x + a)*sinh(a + c))) - (cosh(a + c) - sinh(a + c))*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b*cosh(a + c)^2 - 2*b*cosh(a + c)*sinh(a + c) + b*sinh(a + c)^2 - b)","B",0
143,1,327,0,0.542728," ","integrate(sinh(b*x+a)*tanh(b*x+c),x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right) - 1}{2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^2*cosh(-a + c)^2 - 2*cosh(b*x + c)^2*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)^2*sinh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^2 + 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c) - 1)/(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c))","B",0
144,1,902,0,0.512809," ","integrate(sinh(b*x+a)*tanh(b*x+c)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + 3 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{4} + 3 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 2 \, {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{3} + 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1}{2 \, {\left(b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(3 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^4*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^4 + 4*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + 3*(2*cosh(b*x + c)^2*cosh(-a + c)^2 + (2*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(2*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^4 + 3*cosh(b*x + c)^2)*sinh(-a + c)^2 - 2*((cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(2*cosh(b*x + c)^3*cosh(-a + c)^2 + (2*cosh(b*x + c)^3 + 3*cosh(b*x + c))*sinh(-a + c)^2 + 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - 2*(2*cosh(b*x + c)^3*cosh(-a + c) + 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^4*cosh(-a + c) + 3*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) + 1)/(b*cosh(b*x + c)^3*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 3*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (3*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
145,1,1737,0,0.462935," ","integrate(sinh(b*x+a)*tanh(b*x+c)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{6} + 6 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{5} + {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{4} + {\left(15 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + 5 \, {\left(3 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + 5 \, \cosh\left(-a + c\right)^{2} - 10 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 2\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 5 \, {\left(\cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right) - 10 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + {\left(2 \, \cosh\left(-a + c\right)^{2} - 5\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + 6 \, {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} + 30 \, \cosh\left(b x + c\right)^{2} + 2\right)} \sinh\left(-a + c\right)^{2} + 2 \, \cosh\left(-a + c\right)^{2} - 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 30 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + 2 \, \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 5\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{6} + 5 \, \cosh\left(b x + c\right)^{4} + 2 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} + 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} + 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{4} + 6 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} + 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right)^{2} + 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{3} + {\left(3 \, \cosh\left(b x + c\right)^{5} + 10 \, \cosh\left(b x + c\right)^{3} + 2 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(-a + c\right)^{2} - 5\right)} \cosh\left(b x + c\right) - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + 10 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right) + 5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1}{2 \, {\left(b \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{5} + 2 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 5 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{3} + 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(5 \, b \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 6 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{4} + 6 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{5} + 2 \, b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^6*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^6 + 6*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^5 + (5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^4 + (15*cosh(b*x + c)^2*cosh(-a + c)^2 + 5*(3*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + 5*cosh(-a + c)^2 - 10*(3*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 2)*sinh(b*x + c)^4 + 4*(5*cosh(b*x + c)^3*cosh(-a + c)^2 + 5*(cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (5*cosh(-a + c)^2 - 2)*cosh(b*x + c) - 10*(cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^3 + (2*cosh(-a + c)^2 - 5)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4*cosh(-a + c)^2 + 6*(5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4 + 30*cosh(b*x + c)^2 + 2)*sinh(-a + c)^2 + 2*cosh(-a + c)^2 - 2*(15*cosh(b*x + c)^4*cosh(-a + c) + 30*cosh(b*x + c)^2*cosh(-a + c) + 2*cosh(-a + c))*sinh(-a + c) - 5)*sinh(b*x + c)^2 + (cosh(b*x + c)^6 + 5*cosh(b*x + c)^4 + 2*cosh(b*x + c)^2)*sinh(-a + c)^2 - 3*((cosh(-a + c)^2 + 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^4 + 2*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 + 3*cosh(b*x + c))*sinh(-a + c)^2 + 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) + 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 + 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^4 + 6*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 + 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) + 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) + 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(3*cosh(b*x + c)^5*cosh(-a + c)^2 + 2*(5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^3 + (3*cosh(b*x + c)^5 + 10*cosh(b*x + c)^3 + 2*cosh(b*x + c))*sinh(-a + c)^2 + (2*cosh(-a + c)^2 - 5)*cosh(b*x + c) - 2*(3*cosh(b*x + c)^5*cosh(-a + c) + 10*cosh(b*x + c)^3*cosh(-a + c) + 2*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^6*cosh(-a + c) + 5*cosh(b*x + c)^4*cosh(-a + c) + 2*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) - 1)/(b*cosh(b*x + c)^5*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^5 + 2*b*cosh(b*x + c)^3*cosh(-a + c) + 5*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^4 + 2*(5*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 2*(5*b*cosh(b*x + c)^3*cosh(-a + c) + 3*b*cosh(b*x + c)*cosh(-a + c) - (5*b*cosh(b*x + c)^3 + 3*b*cosh(b*x + c))*sinh(-a + c))*sinh(b*x + c)^2 + (5*b*cosh(b*x + c)^4*cosh(-a + c) + 6*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^4 + 6*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^5 + 2*b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
146,1,439,0,0.426727," ","integrate(coth(b*x+c)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) - {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right) - 1}{2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^2*cosh(-a + c)^2 - 2*cosh(b*x + c)^2*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)^2*sinh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^2 + (2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) - (2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 2*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c) - 1)/(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c))","B",0
147,1,1237,0,0.449277," ","integrate(coth(b*x+c)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + 3 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{4} - 3 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1}{2 \, {\left(b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - b \cosh\left(-a + c\right) - {\left(3 \, b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^4*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^4 + 4*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^3 - 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + 3*(2*cosh(b*x + c)^2*cosh(-a + c)^2 + (2*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^4 - 3*cosh(b*x + c)^2)*sinh(-a + c)^2 - ((cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) + ((cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 2*(2*cosh(b*x + c)^3*cosh(-a + c)^2 + (2*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - 2*(2*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^4*cosh(-a + c) - 3*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) - 1)/(b*cosh(b*x + c)^3*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^3 - b*cosh(b*x + c)*cosh(-a + c) + 3*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c) - b*cosh(-a + c) - (3*b*cosh(b*x + c)^2 - b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^3 - b*cosh(b*x + c))*sinh(-a + c))","B",0
148,1,2372,0,0.461876," ","integrate(coth(b*x+c)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right)^{2} + 2 \, {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{6} + 12 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{5} - 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{4} + 2 \, {\left(15 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + 5 \, {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - 5 \, \cosh\left(-a + c\right)^{2} - 10 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 2\right)} \sinh\left(b x + c\right)^{4} + 8 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 5 \, {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right) - 10 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(2 \, \cosh\left(-a + c\right)^{2} + 5\right)} \cosh\left(b x + c\right)^{2} + 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} - 6 \, {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} - 30 \, \cosh\left(b x + c\right)^{2} + 2\right)} \sinh\left(-a + c\right)^{2} + 2 \, \cosh\left(-a + c\right)^{2} - 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 30 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + 2 \, \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 5\right)} \sinh\left(b x + c\right)^{2} + 2 \, {\left(\cosh\left(b x + c\right)^{6} - 5 \, \cosh\left(b x + c\right)^{4} + 2 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} - 2 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} - 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{4} - 6 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} - 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} - 2 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} - 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{4} - 6 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} - 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 4 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{3} + {\left(3 \, \cosh\left(b x + c\right)^{5} - 10 \, \cosh\left(b x + c\right)^{3} + 2 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(-a + c\right)^{2} + 5\right)} \cosh\left(b x + c\right) - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 10 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 4 \, {\left(\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right) - 5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 2}{4 \, {\left(b \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{5} - 2 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 5 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{3} - 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(5 \, b \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{4} - 6 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{5} - 2 \, b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/4*(2*cosh(b*x + c)^6*cosh(-a + c)^2 + 2*(cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^6 + 12*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^5 - 2*(5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^4 + 2*(15*cosh(b*x + c)^2*cosh(-a + c)^2 + 5*(3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - 5*cosh(-a + c)^2 - 10*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 2)*sinh(b*x + c)^4 + 8*(5*cosh(b*x + c)^3*cosh(-a + c)^2 + 5*(cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (5*cosh(-a + c)^2 + 2)*cosh(b*x + c) - 10*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^3 + 2*(2*cosh(-a + c)^2 + 5)*cosh(b*x + c)^2 + 2*(15*cosh(b*x + c)^4*cosh(-a + c)^2 - 6*(5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4 - 30*cosh(b*x + c)^2 + 2)*sinh(-a + c)^2 + 2*cosh(-a + c)^2 - 2*(15*cosh(b*x + c)^4*cosh(-a + c) - 30*cosh(b*x + c)^2*cosh(-a + c) + 2*cosh(-a + c))*sinh(-a + c) + 5)*sinh(b*x + c)^2 + 2*(cosh(b*x + c)^6 - 5*cosh(b*x + c)^4 + 2*cosh(b*x + c)^2)*sinh(-a + c)^2 - 3*((cosh(-a + c)^2 - 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^4 - 2*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 - 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^4 - 6*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 - 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) - 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) - 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) + 3*((cosh(-a + c)^2 - 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^4 - 2*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 - 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^4 - 6*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 - 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) - 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) - 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 4*(3*cosh(b*x + c)^5*cosh(-a + c)^2 - 2*(5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^3 + (3*cosh(b*x + c)^5 - 10*cosh(b*x + c)^3 + 2*cosh(b*x + c))*sinh(-a + c)^2 + (2*cosh(-a + c)^2 + 5)*cosh(b*x + c) - 2*(3*cosh(b*x + c)^5*cosh(-a + c) - 10*cosh(b*x + c)^3*cosh(-a + c) + 2*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 4*(cosh(b*x + c)^6*cosh(-a + c) - 5*cosh(b*x + c)^4*cosh(-a + c) + 2*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) - 2)/(b*cosh(b*x + c)^5*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^5 - 2*b*cosh(b*x + c)^3*cosh(-a + c) + 5*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^4 + 2*(5*b*cosh(b*x + c)^2*cosh(-a + c) - b*cosh(-a + c) - (5*b*cosh(b*x + c)^2 - b)*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 2*(5*b*cosh(b*x + c)^3*cosh(-a + c) - 3*b*cosh(b*x + c)*cosh(-a + c) - (5*b*cosh(b*x + c)^3 - 3*b*cosh(b*x + c))*sinh(-a + c))*sinh(b*x + c)^2 + (5*b*cosh(b*x + c)^4*cosh(-a + c) - 6*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^4 - 6*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^5 - 2*b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
149,1,87,0,0.430700," ","integrate(sech(b*x+c)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b x - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{2 \, {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)}}"," ",0,"-1/2*(2*b*x - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*cosh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c) - b*sinh(-a + c))","B",0
150,1,405,0,0.471718," ","integrate(sech(b*x+c)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} + {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)}{b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + b \cosh\left(-a + c\right) + 2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)}"," ",0,"(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 + ((cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*arctan(cosh(b*x + c) + sinh(b*x + c)) - (cosh(-a + c)^2 + 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c))/(b*cosh(b*x + c)^2*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^2 + b*cosh(-a + c) + 2*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^2 + b)*sinh(-a + c))","B",0
151,1,246,0,0.417481," ","integrate(sech(b*x+c)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right) + \cosh\left(-a + c\right) \sinh\left(b x + c\right) - 2 \, \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} + {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{3} + 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + b \cosh\left(-a + c\right)^{2} - {\left(3 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)}"," ",0,"-2*(cosh(b*x + c)*cosh(-a + c) + cosh(-a + c)*sinh(b*x + c) - 2*cosh(b*x + c)*sinh(-a + c))/(b*cosh(b*x + c)^3*cosh(-a + c)^2 + 3*b*cosh(b*x + c)*cosh(-a + c)^2 + (b*cosh(-a + c)^2 - b*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(b*cosh(b*x + c)*cosh(-a + c)^2 - b*cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^2 - (b*cosh(b*x + c)^3 + 3*b*cosh(b*x + c))*sinh(-a + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c)^2 + b*cosh(-a + c)^2 - (3*b*cosh(b*x + c)^2 + b)*sinh(-a + c)^2)*sinh(b*x + c))","B",0
152,1,86,0,0.434765," ","integrate(csch(b*x+c)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b x + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \log\left(\frac{2 \, \sinh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{2 \, {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(2*b*x + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*log(2*sinh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c) - b*sinh(-a + c))","B",0
153,1,617,0,0.458507," ","integrate(csch(b*x+c)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - 2 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) - 2 \, {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)}{2 \, {\left(b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} - b \cosh\left(-a + c\right) + 2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(4*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - 2*cosh(b*x + c)*sinh(-a + c)^2 - 2*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - ((cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*log(cosh(b*x + c) + sinh(b*x + c) + 1) + ((cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*log(cosh(b*x + c) + sinh(b*x + c) - 1) - 2*(cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c))/(b*cosh(b*x + c)^2*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^2 - b*cosh(-a + c) + 2*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^2 - b)*sinh(-a + c))","B",0
154,1,246,0,0.427782," ","integrate(csch(b*x+c)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(2 \, \cosh\left(-a + c\right) - \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} + {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - b \cosh\left(-a + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)}"," ",0,"-2*((2*cosh(-a + c) - sinh(-a + c))*sinh(b*x + c) - cosh(b*x + c)*sinh(-a + c))/(b*cosh(b*x + c)^3*cosh(-a + c)^2 - b*cosh(b*x + c)*cosh(-a + c)^2 + (b*cosh(-a + c)^2 - b*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(b*cosh(b*x + c)*cosh(-a + c)^2 - b*cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^2 - (b*cosh(b*x + c)^3 - b*cosh(b*x + c))*sinh(-a + c)^2 + 3*(b*cosh(b*x + c)^2*cosh(-a + c)^2 - b*cosh(-a + c)^2 - (b*cosh(b*x + c)^2 - b)*sinh(-a + c)^2)*sinh(b*x + c))","B",0
155,1,327,0,0.432545," ","integrate(cosh(b*x+a)*tanh(b*x+c),x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right) + 1}{2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^2*cosh(-a + c)^2 - 2*cosh(b*x + c)^2*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)^2*sinh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^2 + 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c) + 1)/(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c))","B",0
156,1,902,0,0.445999," ","integrate(cosh(b*x+a)*tanh(b*x+c)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + 3 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{4} + 3 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 2 \, {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{3} + 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1}{2 \, {\left(b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(3 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^4*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^4 + 4*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + 3*(2*cosh(b*x + c)^2*cosh(-a + c)^2 + (2*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(2*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^4 + 3*cosh(b*x + c)^2)*sinh(-a + c)^2 - 2*((cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(2*cosh(b*x + c)^3*cosh(-a + c)^2 + (2*cosh(b*x + c)^3 + 3*cosh(b*x + c))*sinh(-a + c)^2 + 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - 2*(2*cosh(b*x + c)^3*cosh(-a + c) + 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^4*cosh(-a + c) + 3*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) - 1)/(b*cosh(b*x + c)^3*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 3*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (3*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
157,1,1737,0,0.454707," ","integrate(cosh(b*x+a)*tanh(b*x+c)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{6} + 6 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{5} + {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{4} + {\left(15 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + 5 \, {\left(3 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + 5 \, \cosh\left(-a + c\right)^{2} - 10 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 2\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 5 \, {\left(\cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right) - 10 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + {\left(2 \, \cosh\left(-a + c\right)^{2} + 5\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + 6 \, {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} + 30 \, \cosh\left(b x + c\right)^{2} + 2\right)} \sinh\left(-a + c\right)^{2} + 2 \, \cosh\left(-a + c\right)^{2} - 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 30 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + 2 \, \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 5\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{6} + 5 \, \cosh\left(b x + c\right)^{4} + 2 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} + 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} + 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{4} + 6 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} + 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) + 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right)^{2} + 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} + 2\right)} \cosh\left(b x + c\right)^{3} + {\left(3 \, \cosh\left(b x + c\right)^{5} + 10 \, \cosh\left(b x + c\right)^{3} + 2 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(-a + c\right)^{2} + 5\right)} \cosh\left(b x + c\right) - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + 10 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right) + 5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1}{2 \, {\left(b \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{5} + 2 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 5 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{3} + 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(5 \, b \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 6 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{4} + 6 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{5} + 2 \, b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^6*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^6 + 6*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^5 + (5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^4 + (15*cosh(b*x + c)^2*cosh(-a + c)^2 + 5*(3*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + 5*cosh(-a + c)^2 - 10*(3*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 2)*sinh(b*x + c)^4 + 4*(5*cosh(b*x + c)^3*cosh(-a + c)^2 + 5*(cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (5*cosh(-a + c)^2 + 2)*cosh(b*x + c) - 10*(cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^3 + (2*cosh(-a + c)^2 + 5)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4*cosh(-a + c)^2 + 6*(5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4 + 30*cosh(b*x + c)^2 + 2)*sinh(-a + c)^2 + 2*cosh(-a + c)^2 - 2*(15*cosh(b*x + c)^4*cosh(-a + c) + 30*cosh(b*x + c)^2*cosh(-a + c) + 2*cosh(-a + c))*sinh(-a + c) + 5)*sinh(b*x + c)^2 + (cosh(b*x + c)^6 + 5*cosh(b*x + c)^4 + 2*cosh(b*x + c)^2)*sinh(-a + c)^2 - 3*((cosh(-a + c)^2 - 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^4 + 2*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 + 3*cosh(b*x + c))*sinh(-a + c)^2 + 3*(cosh(-a + c)^2 - 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) + 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 + 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^4 + 6*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 + 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) + 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) + 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*arctan(cosh(b*x + c) + sinh(b*x + c)) + 2*(3*cosh(b*x + c)^5*cosh(-a + c)^2 + 2*(5*cosh(-a + c)^2 + 2)*cosh(b*x + c)^3 + (3*cosh(b*x + c)^5 + 10*cosh(b*x + c)^3 + 2*cosh(b*x + c))*sinh(-a + c)^2 + (2*cosh(-a + c)^2 + 5)*cosh(b*x + c) - 2*(3*cosh(b*x + c)^5*cosh(-a + c) + 10*cosh(b*x + c)^3*cosh(-a + c) + 2*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^6*cosh(-a + c) + 5*cosh(b*x + c)^4*cosh(-a + c) + 2*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) + 1)/(b*cosh(b*x + c)^5*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^5 + 2*b*cosh(b*x + c)^3*cosh(-a + c) + 5*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^4 + 2*(5*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 2*(5*b*cosh(b*x + c)^3*cosh(-a + c) + 3*b*cosh(b*x + c)*cosh(-a + c) - (5*b*cosh(b*x + c)^3 + 3*b*cosh(b*x + c))*sinh(-a + c))*sinh(b*x + c)^2 + (5*b*cosh(b*x + c)^4*cosh(-a + c) + 6*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^4 + 6*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^5 + 2*b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
158,1,439,0,0.443631," ","integrate(cosh(b*x+a)*coth(b*x+c),x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right)^{2} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) - {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right) + 1}{2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^2*cosh(-a + c)^2 - 2*cosh(b*x + c)^2*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)^2*sinh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^2 + (2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) - (2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 2*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c) + 1)/(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c))","B",0
159,1,1237,0,0.513311," ","integrate(cosh(b*x+a)*coth(b*x+c)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{4} + 4 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + 3 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{4} - 3 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{3} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{3} - 3 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) + {\left(3 \, {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1}{2 \, {\left(b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - b \cosh\left(-a + c\right) - {\left(3 \, b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(cosh(b*x + c)^4*cosh(-a + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^4 + 4*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^3 - 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + 3*(2*cosh(b*x + c)^2*cosh(-a + c)^2 + (2*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^4 - 3*cosh(b*x + c)^2)*sinh(-a + c)^2 - ((cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) + ((cosh(-a + c)^2 - 1)*cosh(b*x + c)^3 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^3 - 3*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c) + (3*(cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 2*(2*cosh(b*x + c)^3*cosh(-a + c)^2 + (2*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - 2*(2*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^4*cosh(-a + c) - 3*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) + 1)/(b*cosh(b*x + c)^3*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^3 - b*cosh(b*x + c)*cosh(-a + c) + 3*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c) - b*cosh(-a + c) - (3*b*cosh(b*x + c)^2 - b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^3 - b*cosh(b*x + c))*sinh(-a + c))","B",0
160,1,2372,0,0.456926," ","integrate(cosh(b*x+a)*coth(b*x+c)^3,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right)^{2} + 2 \, {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{6} + 12 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{5} - 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{4} + 2 \, {\left(15 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + 5 \, {\left(3 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - 5 \, \cosh\left(-a + c\right)^{2} - 10 \, {\left(3 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 2\right)} \sinh\left(b x + c\right)^{4} + 8 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 5 \, {\left(\cosh\left(b x + c\right)^{3} - \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right) - 10 \, {\left(\cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(2 \, \cosh\left(-a + c\right)^{2} - 5\right)} \cosh\left(b x + c\right)^{2} + 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right)^{2} - 6 \, {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{2} + {\left(15 \, \cosh\left(b x + c\right)^{4} - 30 \, \cosh\left(b x + c\right)^{2} + 2\right)} \sinh\left(-a + c\right)^{2} + 2 \, \cosh\left(-a + c\right)^{2} - 2 \, {\left(15 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 30 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + 2 \, \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 5\right)} \sinh\left(b x + c\right)^{2} + 2 \, {\left(\cosh\left(b x + c\right)^{6} - 5 \, \cosh\left(b x + c\right)^{4} + 2 \, \cosh\left(b x + c\right)^{2}\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} - 2 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} - 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{4} - 6 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} - 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + 3 \, {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{5} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right)^{4} - 2 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) - 1\right)} \sinh\left(b x + c\right)^{3} + 2 \, {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{3} + {\left(5 \, \cosh\left(b x + c\right)^{3} - 3 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} - 3 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{5} - 2 \, \cosh\left(b x + c\right)^{3} + \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) + {\left(5 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{4} - 6 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(5 \, \cosh\left(b x + c\right)^{4} - 6 \, \cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) + 4 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right)^{2} - 2 \, {\left(5 \, \cosh\left(-a + c\right)^{2} - 2\right)} \cosh\left(b x + c\right)^{3} + {\left(3 \, \cosh\left(b x + c\right)^{5} - 10 \, \cosh\left(b x + c\right)^{3} + 2 \, \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(2 \, \cosh\left(-a + c\right)^{2} - 5\right)} \cosh\left(b x + c\right) - 2 \, {\left(3 \, \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) - 10 \, \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - 4 \, {\left(\cosh\left(b x + c\right)^{6} \cosh\left(-a + c\right) - 5 \, \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) + 2 \, \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 2}{4 \, {\left(b \cosh\left(b x + c\right)^{5} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{5} - 2 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) + 5 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{4} + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right) \cosh\left(-a + c\right) + 2 \, {\left(5 \, b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right) - 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{3} - 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + {\left(5 \, b \cosh\left(b x + c\right)^{4} \cosh\left(-a + c\right) - 6 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + b \cosh\left(-a + c\right) - {\left(5 \, b \cosh\left(b x + c\right)^{4} - 6 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{5} - 2 \, b \cosh\left(b x + c\right)^{3} + b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/4*(2*cosh(b*x + c)^6*cosh(-a + c)^2 + 2*(cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2)*sinh(b*x + c)^6 + 12*(cosh(b*x + c)*cosh(-a + c)^2 - 2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) + cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^5 - 2*(5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^4 + 2*(15*cosh(b*x + c)^2*cosh(-a + c)^2 + 5*(3*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - 5*cosh(-a + c)^2 - 10*(3*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 2)*sinh(b*x + c)^4 + 8*(5*cosh(b*x + c)^3*cosh(-a + c)^2 + 5*(cosh(b*x + c)^3 - cosh(b*x + c))*sinh(-a + c)^2 - (5*cosh(-a + c)^2 - 2)*cosh(b*x + c) - 10*(cosh(b*x + c)^3*cosh(-a + c) - cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^3 + 2*(2*cosh(-a + c)^2 - 5)*cosh(b*x + c)^2 + 2*(15*cosh(b*x + c)^4*cosh(-a + c)^2 - 6*(5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^2 + (15*cosh(b*x + c)^4 - 30*cosh(b*x + c)^2 + 2)*sinh(-a + c)^2 + 2*cosh(-a + c)^2 - 2*(15*cosh(b*x + c)^4*cosh(-a + c) - 30*cosh(b*x + c)^2*cosh(-a + c) + 2*cosh(-a + c))*sinh(-a + c) - 5)*sinh(b*x + c)^2 + 2*(cosh(b*x + c)^6 - 5*cosh(b*x + c)^4 + 2*cosh(b*x + c)^2)*sinh(-a + c)^2 - 3*((cosh(-a + c)^2 + 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^4 - 2*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 - 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^4 - 6*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 - 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) - 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) - 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) + 1) + 3*((cosh(-a + c)^2 + 1)*cosh(b*x + c)^5 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^5 - 5*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c)^4 - 2*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) - 1)*sinh(b*x + c)^3 + 2*(5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^3 + (5*cosh(b*x + c)^3 - 3*cosh(b*x + c))*sinh(-a + c)^2 - 3*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - 2*(5*cosh(b*x + c)^3*cosh(-a + c) - 3*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c)^2 + (cosh(b*x + c)^5 - 2*cosh(b*x + c)^3 + cosh(b*x + c))*sinh(-a + c)^2 + (cosh(-a + c)^2 + 1)*cosh(b*x + c) + (5*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^4 - 6*(cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (5*cosh(b*x + c)^4 - 6*cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(5*cosh(b*x + c)^4*cosh(-a + c) - 6*cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*sinh(b*x + c) - 2*(cosh(b*x + c)^5*cosh(-a + c) - 2*cosh(b*x + c)^3*cosh(-a + c) + cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*log(cosh(b*x + c) + sinh(b*x + c) - 1) + 4*(3*cosh(b*x + c)^5*cosh(-a + c)^2 - 2*(5*cosh(-a + c)^2 - 2)*cosh(b*x + c)^3 + (3*cosh(b*x + c)^5 - 10*cosh(b*x + c)^3 + 2*cosh(b*x + c))*sinh(-a + c)^2 + (2*cosh(-a + c)^2 - 5)*cosh(b*x + c) - 2*(3*cosh(b*x + c)^5*cosh(-a + c) - 10*cosh(b*x + c)^3*cosh(-a + c) + 2*cosh(b*x + c)*cosh(-a + c))*sinh(-a + c))*sinh(b*x + c) - 4*(cosh(b*x + c)^6*cosh(-a + c) - 5*cosh(b*x + c)^4*cosh(-a + c) + 2*cosh(b*x + c)^2*cosh(-a + c))*sinh(-a + c) + 2)/(b*cosh(b*x + c)^5*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^5 - 2*b*cosh(b*x + c)^3*cosh(-a + c) + 5*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c)^4 + 2*(5*b*cosh(b*x + c)^2*cosh(-a + c) - b*cosh(-a + c) - (5*b*cosh(b*x + c)^2 - b)*sinh(-a + c))*sinh(b*x + c)^3 + b*cosh(b*x + c)*cosh(-a + c) + 2*(5*b*cosh(b*x + c)^3*cosh(-a + c) - 3*b*cosh(b*x + c)*cosh(-a + c) - (5*b*cosh(b*x + c)^3 - 3*b*cosh(b*x + c))*sinh(-a + c))*sinh(b*x + c)^2 + (5*b*cosh(b*x + c)^4*cosh(-a + c) - 6*b*cosh(b*x + c)^2*cosh(-a + c) + b*cosh(-a + c) - (5*b*cosh(b*x + c)^4 - 6*b*cosh(b*x + c)^2 + b)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^5 - 2*b*cosh(b*x + c)^3 + b*cosh(b*x + c))*sinh(-a + c))","B",0
161,1,86,0,0.513363," ","integrate(cosh(b*x+a)*sech(b*x+c),x, algorithm=""fricas"")","\frac{2 \, b x + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \log\left(\frac{2 \, \cosh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{2 \, {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(2*b*x + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*log(2*cosh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c) - b*sinh(-a + c))","B",0
162,1,405,0,0.447288," ","integrate(cosh(b*x+a)*sech(b*x+c)^2,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} + {\left({\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} + 1\right)} \sinh\left(-a + c\right)^{2} + \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \arctan\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right)\right) - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right) - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)}{b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} + b \cosh\left(-a + c\right) + 2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)}"," ",0,"(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 + ((cosh(-a + c)^2 + 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 + 1)*sinh(-a + c)^2 + cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 + 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) + cosh(-a + c))*sinh(-a + c) + 1)*arctan(cosh(b*x + c) + sinh(b*x + c)) - (cosh(-a + c)^2 - 1)*cosh(b*x + c) - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c))/(b*cosh(b*x + c)^2*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^2 + b*cosh(-a + c) + 2*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^2 + b)*sinh(-a + c))","B",0
163,1,248,0,0.390316," ","integrate(cosh(b*x+a)*sech(b*x+c)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right) - \sinh\left(b x + c\right) \sinh\left(-a + c\right)\right)}}{b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} + 3 \, b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} + {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{3} + 3 \, b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + {\left(3 \, b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} + b \cosh\left(-a + c\right)^{2} - {\left(3 \, b \cosh\left(b x + c\right)^{2} + b\right)} \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)}"," ",0,"-2*(2*cosh(b*x + c)*cosh(-a + c) - cosh(b*x + c)*sinh(-a + c) - sinh(b*x + c)*sinh(-a + c))/(b*cosh(b*x + c)^3*cosh(-a + c)^2 + 3*b*cosh(b*x + c)*cosh(-a + c)^2 + (b*cosh(-a + c)^2 - b*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(b*cosh(b*x + c)*cosh(-a + c)^2 - b*cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^2 - (b*cosh(b*x + c)^3 + 3*b*cosh(b*x + c))*sinh(-a + c)^2 + (3*b*cosh(b*x + c)^2*cosh(-a + c)^2 + b*cosh(-a + c)^2 - (3*b*cosh(b*x + c)^2 + b)*sinh(-a + c)^2)*sinh(b*x + c))","B",0
164,1,87,0,0.494784," ","integrate(cosh(b*x+a)*csch(b*x+c),x, algorithm=""fricas"")","-\frac{2 \, b x - {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + c\right)}{\cosh\left(b x + c\right) - \sinh\left(b x + c\right)}\right)}{2 \, {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)}}"," ",0,"-1/2*(2*b*x - (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*log(2*sinh(b*x + c)/(cosh(b*x + c) - sinh(b*x + c))))/(b*cosh(-a + c) - b*sinh(-a + c))","B",0
165,1,617,0,0.502216," ","integrate(cosh(b*x+a)*csch(b*x+c)^2,x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - 2 \, \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - 2 \, {\left(\cosh\left(-a + c\right)^{2} + 1\right)} \cosh\left(b x + c\right) - {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) + 1\right) + {\left({\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)^{2} + {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} - 1\right)} \sinh\left(b x + c\right)^{2} + {\left(\cosh\left(b x + c\right)^{2} - 1\right)} \sinh\left(-a + c\right)^{2} - \cosh\left(-a + c\right)^{2} - 2 \, {\left(2 \, \cosh\left(b x + c\right) \cosh\left(-a + c\right) \sinh\left(-a + c\right) - \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2} - {\left(\cosh\left(-a + c\right)^{2} - 1\right)} \cosh\left(b x + c\right)\right)} \sinh\left(b x + c\right) - 2 \, {\left(\cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) - \cosh\left(-a + c\right)\right)} \sinh\left(-a + c\right) + 1\right)} \log\left(\cosh\left(b x + c\right) + \sinh\left(b x + c\right) - 1\right) - 2 \, {\left(\cosh\left(-a + c\right)^{2} - 2 \, \cosh\left(-a + c\right) \sinh\left(-a + c\right) + \sinh\left(-a + c\right)^{2} + 1\right)} \sinh\left(b x + c\right)}{2 \, {\left(b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right) + {\left(b \cosh\left(-a + c\right) - b \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)^{2} - b \cosh\left(-a + c\right) + 2 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right) - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right) - {\left(b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)\right)}}"," ",0,"1/2*(4*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - 2*cosh(b*x + c)*sinh(-a + c)^2 - 2*(cosh(-a + c)^2 + 1)*cosh(b*x + c) - ((cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*log(cosh(b*x + c) + sinh(b*x + c) + 1) + ((cosh(-a + c)^2 - 1)*cosh(b*x + c)^2 + (cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 - 1)*sinh(b*x + c)^2 + (cosh(b*x + c)^2 - 1)*sinh(-a + c)^2 - cosh(-a + c)^2 - 2*(2*cosh(b*x + c)*cosh(-a + c)*sinh(-a + c) - cosh(b*x + c)*sinh(-a + c)^2 - (cosh(-a + c)^2 - 1)*cosh(b*x + c))*sinh(b*x + c) - 2*(cosh(b*x + c)^2*cosh(-a + c) - cosh(-a + c))*sinh(-a + c) + 1)*log(cosh(b*x + c) + sinh(b*x + c) - 1) - 2*(cosh(-a + c)^2 - 2*cosh(-a + c)*sinh(-a + c) + sinh(-a + c)^2 + 1)*sinh(b*x + c))/(b*cosh(b*x + c)^2*cosh(-a + c) + (b*cosh(-a + c) - b*sinh(-a + c))*sinh(b*x + c)^2 - b*cosh(-a + c) + 2*(b*cosh(b*x + c)*cosh(-a + c) - b*cosh(b*x + c)*sinh(-a + c))*sinh(b*x + c) - (b*cosh(b*x + c)^2 - b)*sinh(-a + c))","B",0
166,1,243,0,0.433578," ","integrate(cosh(b*x+a)*csch(b*x+c)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + c\right) \cosh\left(-a + c\right) + {\left(\cosh\left(-a + c\right) - 2 \, \sinh\left(-a + c\right)\right)} \sinh\left(b x + c\right)\right)}}{b \cosh\left(b x + c\right)^{3} \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} + {\left(b \cosh\left(-a + c\right)^{2} - b \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{3} + 3 \, {\left(b \cosh\left(b x + c\right) \cosh\left(-a + c\right)^{2} - b \cosh\left(b x + c\right) \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{3} - b \cosh\left(b x + c\right)\right)} \sinh\left(-a + c\right)^{2} + 3 \, {\left(b \cosh\left(b x + c\right)^{2} \cosh\left(-a + c\right)^{2} - b \cosh\left(-a + c\right)^{2} - {\left(b \cosh\left(b x + c\right)^{2} - b\right)} \sinh\left(-a + c\right)^{2}\right)} \sinh\left(b x + c\right)}"," ",0,"-2*(cosh(b*x + c)*cosh(-a + c) + (cosh(-a + c) - 2*sinh(-a + c))*sinh(b*x + c))/(b*cosh(b*x + c)^3*cosh(-a + c)^2 - b*cosh(b*x + c)*cosh(-a + c)^2 + (b*cosh(-a + c)^2 - b*sinh(-a + c)^2)*sinh(b*x + c)^3 + 3*(b*cosh(b*x + c)*cosh(-a + c)^2 - b*cosh(b*x + c)*sinh(-a + c)^2)*sinh(b*x + c)^2 - (b*cosh(b*x + c)^3 - b*cosh(b*x + c))*sinh(-a + c)^2 + 3*(b*cosh(b*x + c)^2*cosh(-a + c)^2 - b*cosh(-a + c)^2 - (b*cosh(b*x + c)^2 - b)*sinh(-a + c)^2)*sinh(b*x + c))","B",0
167,1,72,0,0.452863," ","integrate(sinh(b*x+a)*sinh(d*x+c),x, algorithm=""fricas"")","-\frac{d \cosh\left(d x + c\right) \sinh\left(b x + a\right) - b \cosh\left(b x + a\right) \sinh\left(d x + c\right)}{{\left(b^{2} - d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"-(d*cosh(d*x + c)*sinh(b*x + a) - b*cosh(b*x + a)*sinh(d*x + c))/((b^2 - d^2)*cosh(b*x + a)^2 - (b^2 - d^2)*sinh(b*x + a)^2)","A",0
168,1,120,0,0.453994," ","integrate(sinh(b*x+a)*sinh(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - 4 \, b d \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right) + b^{2} \cosh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - {\left(b^{2} - 4 \, d^{2}\right)} \cosh\left(b x + a\right)}{2 \, {\left({\left(b^{3} - 4 \, b d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} - 4 \, b d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/2*(b^2*cosh(b*x + a)*cosh(d*x + c)^2 - 4*b*d*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c) + b^2*cosh(b*x + a)*sinh(d*x + c)^2 - (b^2 - 4*d^2)*cosh(b*x + a))/((b^3 - 4*b*d^2)*cosh(b*x + a)^2 - (b^3 - 4*b*d^2)*sinh(b*x + a)^2)","B",0
169,1,218,0,0.438739," ","integrate(sinh(b*x+a)*sinh(d*x+c)^3,x, algorithm=""fricas"")","-\frac{9 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(d x + c\right)^{3} + 3 \, {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right)^{3} - {\left(b^{2} d - 9 \, d^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"-1/4*(9*(b^2*d - d^3)*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c)^2 - (b^3 - b*d^2)*cosh(b*x + a)*sinh(d*x + c)^3 + 3*((b^2*d - d^3)*cosh(d*x + c)^3 - (b^2*d - 9*d^3)*cosh(d*x + c))*sinh(b*x + a) - 3*((b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)^2 - (b^3 - 9*b*d^2)*cosh(b*x + a))*sinh(d*x + c))/((b^4 - 10*b^2*d^2 + 9*d^4)*cosh(b*x + a)^2 - (b^4 - 10*b^2*d^2 + 9*d^4)*sinh(b*x + a)^2)","B",0
170,1,192,0,0.424857," ","integrate(sinh(b*x+a)^2*sinh(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} d \cosh\left(b x + a\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} + {\left(b^{3} d - b d^{3}\right)} x + {\left(b^{2} d \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - {\left(b d^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(b d^{2} \cosh\left(b x + a\right)^{2} + b^{3} - b d^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} d - b d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/4*(b^2*d*cosh(b*x + a)*sinh(b*x + a)*sinh(d*x + c)^2 + (b^3*d - b*d^3)*x + (b^2*d*cosh(b*x + a)*cosh(d*x + c)^2 - (b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a) - (b*d^2*cosh(d*x + c)*sinh(b*x + a)^2 + (b*d^2*cosh(b*x + a)^2 + b^3 - b*d^2)*cosh(d*x + c))*sinh(d*x + c))/((b^3*d - b*d^3)*cosh(b*x + a)^2 - (b^3*d - b*d^3)*sinh(b*x + a)^2)","B",0
171,1,414,0,0.435831," ","integrate(sinh(b*x+a)^2*sinh(d*x+c)^3,x, algorithm=""fricas"")","\frac{12 \, {\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{3} - {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} + 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{3} - 9 \, {\left({\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(d x + c\right)^{3} - {\left(4 \, b^{2} d^{2} - 9 \, d^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right)^{2} + 36 \, {\left({\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - {\left(4 \, b^{3} d - 9 \, b d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) \sinh\left(d x + c\right) - 3 \, {\left(9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} + 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 9 \, {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} + {\left(4 \, b^{2} d^{2} - 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)}{24 \, {\left({\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2} - {\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/24*(12*(4*b^3*d - b*d^3)*cosh(b*x + a)*sinh(b*x + a)*sinh(d*x + c)^3 - (16*b^4 - 40*b^2*d^2 + 9*d^4 + 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2)*cosh(d*x + c)^3 - 9*((4*b^2*d^2 - d^4)*cosh(d*x + c)^3 - (4*b^2*d^2 - 9*d^4)*cosh(d*x + c))*sinh(b*x + a)^2 + 36*((4*b^3*d - b*d^3)*cosh(b*x + a)*cosh(d*x + c)^2 - (4*b^3*d - 9*b*d^3)*cosh(b*x + a))*sinh(b*x + a)*sinh(d*x + c) - 3*(9*(4*b^2*d^2 - d^4)*cosh(d*x + c)*sinh(b*x + a)^2 + (16*b^4 - 40*b^2*d^2 + 9*d^4 + 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2)*cosh(d*x + c))*sinh(d*x + c)^2 + 9*(16*b^4 - 40*b^2*d^2 + 9*d^4 + (4*b^2*d^2 - 9*d^4)*cosh(b*x + a)^2)*cosh(d*x + c))/((16*b^4*d - 40*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2 - (16*b^4*d - 40*b^2*d^3 + 9*d^5)*sinh(b*x + a)^2)","B",0
172,1,731,0,0.462516," ","integrate(sinh(b*x+a)^3*sinh(d*x+c)^3,x, algorithm=""fricas"")","-\frac{{\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(d x + c\right)^{3} - 9 \, {\left(b^{4} d - 10 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right)^{3} - {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 9 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - 3 \, {\left(81 \, b^{4} d - 90 \, b^{2} d^{3} + 9 \, d^{5} - {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} - 3 \, {\left({\left(81 \, b^{4} d - 90 \, b^{2} d^{3} + 9 \, d^{5} - {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{3} - 9 \, {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5} - {\left(b^{4} d - 10 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) + 3 \, {\left(9 \, {\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} - {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 9 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - 9 \, {\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 9 \, {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{48 \, {\left({\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"-1/48*(((9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(d*x + c)^3 - 9*(b^4*d - 10*b^2*d^3 + 9*d^5)*cosh(d*x + c))*sinh(b*x + a)^3 - ((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 + 3*(9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)*sinh(b*x + a)^2 - 9*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a))*sinh(d*x + c)^3 + 3*((9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(d*x + c)*sinh(b*x + a)^3 - 3*(81*b^4*d - 90*b^2*d^3 + 9*d^5 - (9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c)^2 - 3*((81*b^4*d - 90*b^2*d^3 + 9*d^5 - (9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2)*cosh(d*x + c)^3 - 9*(9*b^4*d - 82*b^2*d^3 + 9*d^5 - (b^4*d - 10*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2)*cosh(d*x + c))*sinh(b*x + a) + 3*(9*(b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 - ((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 - 9*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a))*cosh(d*x + c)^2 - 3*((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)*cosh(d*x + c)^2 - 9*(b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(b*x + a))*sinh(b*x + a)^2 - 9*(9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a))*sinh(d*x + c))/((9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^4 - 2*(9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*sinh(b*x + a)^4)","B",0
173,1,71,0,0.428206," ","integrate(cosh(b*x+a)*cosh(d*x+c),x, algorithm=""fricas"")","\frac{b \cosh\left(d x + c\right) \sinh\left(b x + a\right) - d \cosh\left(b x + a\right) \sinh\left(d x + c\right)}{{\left(b^{2} - d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"(b*cosh(d*x + c)*sinh(b*x + a) - d*cosh(b*x + a)*sinh(d*x + c))/((b^2 - d^2)*cosh(b*x + a)^2 - (b^2 - d^2)*sinh(b*x + a)^2)","A",0
174,1,115,0,0.435360," ","integrate(cosh(b*x+a)*cosh(d*x+c)^2,x, algorithm=""fricas"")","-\frac{4 \, b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(d x + c\right) - b^{2} \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - {\left(b^{2} \cosh\left(d x + c\right)^{2} + b^{2} - 4 \, d^{2}\right)} \sinh\left(b x + a\right)}{2 \, {\left({\left(b^{3} - 4 \, b d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} - 4 \, b d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"-1/2*(4*b*d*cosh(b*x + a)*cosh(d*x + c)*sinh(d*x + c) - b^2*sinh(b*x + a)*sinh(d*x + c)^2 - (b^2*cosh(d*x + c)^2 + b^2 - 4*d^2)*sinh(b*x + a))/((b^3 - 4*b*d^2)*cosh(b*x + a)^2 - (b^3 - 4*b*d^2)*sinh(b*x + a)^2)","B",0
175,1,217,0,0.452207," ","integrate(cosh(b*x+a)*cosh(d*x+c)^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(d x + c\right)^{3} + {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left(3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} d - 9 \, d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/4*(3*(b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c)^2 - 3*(b^2*d - d^3)*cosh(b*x + a)*sinh(d*x + c)^3 + ((b^3 - b*d^2)*cosh(d*x + c)^3 + 3*(b^3 - 9*b*d^2)*cosh(d*x + c))*sinh(b*x + a) - 3*(3*(b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*d - 9*d^3)*cosh(b*x + a))*sinh(d*x + c))/((b^4 - 10*b^2*d^2 + 9*d^4)*cosh(b*x + a)^2 - (b^4 - 10*b^2*d^2 + 9*d^4)*sinh(b*x + a)^2)","B",0
176,1,192,0,0.441262," ","integrate(cosh(b*x+a)^2*cosh(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} d \cosh\left(b x + a\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} + {\left(b^{3} d - b d^{3}\right)} x + {\left(b^{2} d \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - {\left(b d^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(b d^{2} \cosh\left(b x + a\right)^{2} - b^{3} + b d^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} d - b d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/4*(b^2*d*cosh(b*x + a)*sinh(b*x + a)*sinh(d*x + c)^2 + (b^3*d - b*d^3)*x + (b^2*d*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a) - (b*d^2*cosh(d*x + c)*sinh(b*x + a)^2 + (b*d^2*cosh(b*x + a)^2 - b^3 + b*d^2)*cosh(d*x + c))*sinh(d*x + c))/((b^3*d - b*d^3)*cosh(b*x + a)^2 - (b^3*d - b*d^3)*sinh(b*x + a)^2)","B",0
177,1,397,0,0.432004," ","integrate(cosh(b*x+a)^2*cosh(d*x+c)^3,x, algorithm=""fricas"")","\frac{36 \, {\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} + {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} - 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2} - 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \sinh\left(b x + a\right)^{2}\right)} \sinh\left(d x + c\right)^{3} + 12 \, {\left({\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} + 3 \, {\left(4 \, b^{3} d - 9 \, b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) + 3 \, {\left(48 \, b^{4} - 120 \, b^{2} d^{2} + 27 \, d^{4} - 3 \, {\left(4 \, b^{2} d^{2} - 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2} + {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} - 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left(4 \, b^{2} d^{2} - 9 \, d^{4} + 3 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \sinh\left(d x + c\right)}{24 \, {\left({\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2} - {\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/24*(36*(4*b^3*d - b*d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c)^2 + (16*b^4 - 40*b^2*d^2 + 9*d^4 - 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2 - 9*(4*b^2*d^2 - d^4)*sinh(b*x + a)^2)*sinh(d*x + c)^3 + 12*((4*b^3*d - b*d^3)*cosh(b*x + a)*cosh(d*x + c)^3 + 3*(4*b^3*d - 9*b*d^3)*cosh(b*x + a)*cosh(d*x + c))*sinh(b*x + a) + 3*(48*b^4 - 120*b^2*d^2 + 27*d^4 - 3*(4*b^2*d^2 - 9*d^4)*cosh(b*x + a)^2 + (16*b^4 - 40*b^2*d^2 + 9*d^4 - 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2)*cosh(d*x + c)^2 - 3*(4*b^2*d^2 - 9*d^4 + 3*(4*b^2*d^2 - d^4)*cosh(d*x + c)^2)*sinh(b*x + a)^2)*sinh(d*x + c))/((16*b^4*d - 40*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2 - (16*b^4*d - 40*b^2*d^3 + 9*d^5)*sinh(b*x + a)^2)","B",0
178,1,726,0,0.549556," ","integrate(cosh(b*x+a)^3*cosh(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(d x + c\right)^{3} + 27 \, {\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right)^{3} - {\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 27 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(27 \, b^{5} - 30 \, b^{3} d^{2} + 3 \, b d^{4} + {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} + 3 \, {\left({\left(27 \, b^{5} - 30 \, b^{3} d^{2} + 3 \, b d^{4} + {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{3} + 9 \, {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4} + 3 \, {\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left(3 \, {\left(b^{4} d - 10 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{3} + {\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{3} + 27 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + 3 \, {\left(b^{4} d - 10 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 9 \, {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{48 \, {\left({\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/48*(((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(d*x + c)^3 + 27*(b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(d*x + c))*sinh(b*x + a)^3 - ((9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^3 + 3*(9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)*sinh(b*x + a)^2 + 27*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a))*sinh(d*x + c)^3 + 3*((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(d*x + c)*sinh(b*x + a)^3 + 3*(27*b^5 - 30*b^3*d^2 + 3*b*d^4 + (9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c)^2 + 3*((27*b^5 - 30*b^3*d^2 + 3*b*d^4 + (9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^2)*cosh(d*x + c)^3 + 9*(9*b^5 - 82*b^3*d^2 + 9*b*d^4 + 3*(b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^2)*cosh(d*x + c))*sinh(b*x + a) - 3*(3*(b^4*d - 10*b^2*d^3 + 9*d^5)*cosh(b*x + a)^3 + ((9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^3 + 27*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a))*cosh(d*x + c)^2 + 3*((9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)*cosh(d*x + c)^2 + 3*(b^4*d - 10*b^2*d^3 + 9*d^5)*cosh(b*x + a))*sinh(b*x + a)^2 + 9*(9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a))*sinh(d*x + c))/((9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^4 - 2*(9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*sinh(b*x + a)^4)","B",0
179,1,71,0,0.524969," ","integrate(cosh(d*x+c)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b \cosh\left(b x + a\right) \cosh\left(d x + c\right) - d \sinh\left(b x + a\right) \sinh\left(d x + c\right)}{{\left(b^{2} - d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"(b*cosh(b*x + a)*cosh(d*x + c) - d*sinh(b*x + a)*sinh(d*x + c))/((b^2 - d^2)*cosh(b*x + a)^2 - (b^2 - d^2)*sinh(b*x + a)^2)","A",0
180,1,119,0,0.466705," ","integrate(cosh(d*x+c)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - 4 \, b d \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right) + b^{2} \cosh\left(b x + a\right) \sinh\left(d x + c\right)^{2} + {\left(b^{2} - 4 \, d^{2}\right)} \cosh\left(b x + a\right)}{2 \, {\left({\left(b^{3} - 4 \, b d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} - 4 \, b d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/2*(b^2*cosh(b*x + a)*cosh(d*x + c)^2 - 4*b*d*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c) + b^2*cosh(b*x + a)*sinh(d*x + c)^2 + (b^2 - 4*d^2)*cosh(b*x + a))/((b^3 - 4*b*d^2)*cosh(b*x + a)^2 - (b^3 - 4*b*d^2)*sinh(b*x + a)^2)","B",0
181,1,213,0,0.483673," ","integrate(cosh(d*x+c)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} + 3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} - 3 \, {\left(b^{2} d - d^{3}\right)} \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{3} + 3 \, {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) - 3 \, {\left(b^{2} d - 9 \, d^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right) \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/4*((b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)^3 + 3*(b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)*sinh(d*x + c)^2 - 3*(b^2*d - d^3)*sinh(b*x + a)*sinh(d*x + c)^3 + 3*(b^3 - 9*b*d^2)*cosh(b*x + a)*cosh(d*x + c) - 3*(b^2*d - 9*d^3 + 3*(b^2*d - d^3)*cosh(d*x + c)^2)*sinh(b*x + a)*sinh(d*x + c))/((b^4 - 10*b^2*d^2 + 9*d^4)*cosh(b*x + a)^2 - (b^4 - 10*b^2*d^2 + 9*d^4)*sinh(b*x + a)^2)","B",0
182,1,114,0,0.429999," ","integrate(cosh(d*x+c)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right) - {\left(d^{2} \cosh\left(b x + a\right)^{2} + d^{2} \sinh\left(b x + a\right)^{2} + 4 \, b^{2} - d^{2}\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2} - {\left(4 \, b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/2*(4*b*d*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a) - (d^2*cosh(b*x + a)^2 + d^2*sinh(b*x + a)^2 + 4*b^2 - d^2)*sinh(d*x + c))/((4*b^2*d - d^3)*cosh(b*x + a)^2 - (4*b^2*d - d^3)*sinh(b*x + a)^2)","A",0
183,1,192,0,0.467713," ","integrate(cosh(d*x+c)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} d \cosh\left(b x + a\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - {\left(b^{3} d - b d^{3}\right)} x + {\left(b^{2} d \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - {\left(b d^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(b d^{2} \cosh\left(b x + a\right)^{2} + b^{3} - b d^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} d - b d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/4*(b^2*d*cosh(b*x + a)*sinh(b*x + a)*sinh(d*x + c)^2 - (b^3*d - b*d^3)*x + (b^2*d*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a) - (b*d^2*cosh(d*x + c)*sinh(b*x + a)^2 + (b*d^2*cosh(b*x + a)^2 + b^3 - b*d^2)*cosh(d*x + c))*sinh(d*x + c))/((b^3*d - b*d^3)*cosh(b*x + a)^2 - (b^3*d - b*d^3)*sinh(b*x + a)^2)","B",0
184,1,398,0,0.446236," ","integrate(cosh(d*x+c)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{36 \, {\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right) \sinh\left(d x + c\right)^{2} - {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} + 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2} + 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \sinh\left(b x + a\right)^{2}\right)} \sinh\left(d x + c\right)^{3} + 12 \, {\left({\left(4 \, b^{3} d - b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} + 3 \, {\left(4 \, b^{3} d - 9 \, b d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left(48 \, b^{4} - 120 \, b^{2} d^{2} + 27 \, d^{4} + 3 \, {\left(4 \, b^{2} d^{2} - 9 \, d^{4}\right)} \cosh\left(b x + a\right)^{2} + {\left(16 \, b^{4} - 40 \, b^{2} d^{2} + 9 \, d^{4} + 9 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(4 \, b^{2} d^{2} - 9 \, d^{4} + 3 \, {\left(4 \, b^{2} d^{2} - d^{4}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \sinh\left(d x + c\right)}{24 \, {\left({\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2} - {\left(16 \, b^{4} d - 40 \, b^{2} d^{3} + 9 \, d^{5}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/24*(36*(4*b^3*d - b*d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)*sinh(d*x + c)^2 - (16*b^4 - 40*b^2*d^2 + 9*d^4 + 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2 + 9*(4*b^2*d^2 - d^4)*sinh(b*x + a)^2)*sinh(d*x + c)^3 + 12*((4*b^3*d - b*d^3)*cosh(b*x + a)*cosh(d*x + c)^3 + 3*(4*b^3*d - 9*b*d^3)*cosh(b*x + a)*cosh(d*x + c))*sinh(b*x + a) - 3*(48*b^4 - 120*b^2*d^2 + 27*d^4 + 3*(4*b^2*d^2 - 9*d^4)*cosh(b*x + a)^2 + (16*b^4 - 40*b^2*d^2 + 9*d^4 + 9*(4*b^2*d^2 - d^4)*cosh(b*x + a)^2)*cosh(d*x + c)^2 + 3*(4*b^2*d^2 - 9*d^4 + 3*(4*b^2*d^2 - d^4)*cosh(d*x + c)^2)*sinh(b*x + a)^2)*sinh(d*x + c))/((16*b^4*d - 40*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2 - (16*b^4*d - 40*b^2*d^3 + 9*d^5)*sinh(b*x + a)^2)","B",0
185,1,243,0,0.522758," ","integrate(cosh(d*x+c)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{9 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + 3 \, {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(9 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) - {\left({\left(b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)^{3} - 3 \, {\left(9 \, b^{2} d - d^{3} - {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/4*(9*(b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^2 + 3*((b^3 - b*d^2)*cosh(b*x + a)^3 - (9*b^3 - b*d^2)*cosh(b*x + a))*cosh(d*x + c) - ((b^2*d - d^3)*sinh(b*x + a)^3 - 3*(9*b^2*d - d^3 - (b^2*d - d^3)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^4 - 10*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
186,1,443,0,0.414071," ","integrate(cosh(d*x+c)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(9 \, b^{4} - 40 \, b^{2} d^{2} + 16 \, d^{4}\right)} \cosh\left(b x + a\right)^{3} + 9 \, {\left({\left(b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(9 \, b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(9 \, {\left(b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(9 \, b^{4} - 40 \, b^{2} d^{2} + 16 \, d^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 9 \, {\left({\left(b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(9 \, b^{4} - 4 \, b^{2} d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} - 9 \, {\left(9 \, b^{4} - 40 \, b^{2} d^{2} + 16 \, d^{4}\right)} \cosh\left(b x + a\right) - 12 \, {\left({\left(b^{3} d - 4 \, b d^{3}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - 3 \, {\left(9 \, b^{3} d - 4 \, b d^{3} - {\left(b^{3} d - 4 \, b d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{24 \, {\left({\left(9 \, b^{5} - 40 \, b^{3} d^{2} + 16 \, b d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{5} - 40 \, b^{3} d^{2} + 16 \, b d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{5} - 40 \, b^{3} d^{2} + 16 \, b d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/24*((9*b^4 - 40*b^2*d^2 + 16*d^4)*cosh(b*x + a)^3 + 9*((b^4 - 4*b^2*d^2)*cosh(b*x + a)^3 - (9*b^4 - 4*b^2*d^2)*cosh(b*x + a))*cosh(d*x + c)^2 + 3*(9*(b^4 - 4*b^2*d^2)*cosh(b*x + a)*cosh(d*x + c)^2 + (9*b^4 - 40*b^2*d^2 + 16*d^4)*cosh(b*x + a))*sinh(b*x + a)^2 + 9*((b^4 - 4*b^2*d^2)*cosh(b*x + a)^3 + 3*(b^4 - 4*b^2*d^2)*cosh(b*x + a)*sinh(b*x + a)^2 - (9*b^4 - 4*b^2*d^2)*cosh(b*x + a))*sinh(d*x + c)^2 - 9*(9*b^4 - 40*b^2*d^2 + 16*d^4)*cosh(b*x + a) - 12*((b^3*d - 4*b*d^3)*cosh(d*x + c)*sinh(b*x + a)^3 - 3*(9*b^3*d - 4*b*d^3 - (b^3*d - 4*b*d^3)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c))/((9*b^5 - 40*b^3*d^2 + 16*b*d^4)*cosh(b*x + a)^4 - 2*(9*b^5 - 40*b^3*d^2 + 16*b*d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^5 - 40*b^3*d^2 + 16*b*d^4)*sinh(b*x + a)^4)","B",0
187,1,729,0,0.507014," ","integrate(cosh(d*x+c)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 9 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right)^{3} - {\left({\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \sinh\left(b x + a\right)^{3} - 3 \, {\left(81 \, b^{4} d - 90 \, b^{2} d^{3} + 9 \, d^{5} - {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} + 27 \, {\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(3 \, {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left({\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 9 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 27 \, {\left({\left(b^{5} - 10 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)^{3} - {\left(9 \, b^{5} - 82 \, b^{3} d^{2} + 9 \, b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) - 3 \, {\left({\left(3 \, b^{4} d - 30 \, b^{2} d^{3} + 27 \, d^{5} + {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)^{3} - 3 \, {\left(27 \, b^{4} d - 246 \, b^{2} d^{3} + 27 \, d^{5} - 3 \, {\left(b^{4} d - 10 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2} + {\left(81 \, b^{4} d - 90 \, b^{2} d^{3} + 9 \, d^{5} - {\left(9 \, b^{4} d - 82 \, b^{2} d^{3} + 9 \, d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{48 \, {\left({\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{6} - 91 \, b^{4} d^{2} + 91 \, b^{2} d^{4} - 9 \, d^{6}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/48*(((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 - 9*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a))*cosh(d*x + c)^3 - ((9*b^4*d - 82*b^2*d^3 + 9*d^5)*sinh(b*x + a)^3 - 3*(81*b^4*d - 90*b^2*d^3 + 9*d^5 - (9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c)^3 + 3*((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)*cosh(d*x + c)^3 + 27*(b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)*cosh(d*x + c))*sinh(b*x + a)^2 + 3*(3*(9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^2 + ((9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 - 9*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a))*cosh(d*x + c))*sinh(d*x + c)^2 + 27*((b^5 - 10*b^3*d^2 + 9*b*d^4)*cosh(b*x + a)^3 - (9*b^5 - 82*b^3*d^2 + 9*b*d^4)*cosh(b*x + a))*cosh(d*x + c) - 3*((3*b^4*d - 30*b^2*d^3 + 27*d^5 + (9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(d*x + c)^2)*sinh(b*x + a)^3 - 3*(27*b^4*d - 246*b^2*d^3 + 27*d^5 - 3*(b^4*d - 10*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2 + (81*b^4*d - 90*b^2*d^3 + 9*d^5 - (9*b^4*d - 82*b^2*d^3 + 9*d^5)*cosh(b*x + a)^2)*cosh(d*x + c)^2)*sinh(b*x + a))*sinh(d*x + c))/((9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^4 - 2*(9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^6 - 91*b^4*d^2 + 91*b^2*d^4 - 9*d^6)*sinh(b*x + a)^4)","B",0
188,0,0,0,0.475063," ","integrate(sinh(b*x+a)*tanh(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x + a\right) \tanh\left(d x + c\right), x\right)"," ",0,"integral(sinh(b*x + a)*tanh(d*x + c), x)","F",0
189,0,0,0,0.455791," ","integrate(coth(d*x+c)*sinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\coth\left(d x + c\right) \sinh\left(b x + a\right), x\right)"," ",0,"integral(coth(d*x + c)*sinh(b*x + a), x)","F",0
190,0,0,0,0.497707," ","integrate(cosh(b*x+a)*coth(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right) \coth\left(d x + c\right), x\right)"," ",0,"integral(cosh(b*x + a)*coth(d*x + c), x)","F",0
191,0,0,0,0.420701," ","integrate(cosh(b*x+a)*tanh(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right) \tanh\left(d x + c\right), x\right)"," ",0,"integral(cosh(b*x + a)*tanh(d*x + c), x)","F",0
192,1,17,0,0.403201," ","integrate(sinh(x)*sinh(2*x),x, algorithm=""fricas"")","\frac{1}{6} \, \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)"," ",0,"1/6*sinh(x)^3 + 1/2*(cosh(x)^2 - 1)*sinh(x)","B",0
193,1,22,0,0.403602," ","integrate(sinh(x)*sinh(3*x),x, algorithm=""fricas"")","\frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"1/2*cosh(x)*sinh(x)^3 + 1/2*(cosh(x)^3 - cosh(x))*sinh(x)","A",0
194,1,36,0,0.410889," ","integrate(sinh(x)*sinh(4*x),x, algorithm=""fricas"")","\frac{1}{10} \, \sinh\left(x\right)^{5} + \frac{1}{6} \, {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{4} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)"," ",0,"1/10*sinh(x)^5 + 1/6*(6*cosh(x)^2 - 1)*sinh(x)^3 + 1/2*(cosh(x)^4 - cosh(x)^2)*sinh(x)","B",0
195,1,42,0,0.408149," ","integrate(sinh(x)*sinh(m*x),x, algorithm=""fricas"")","\frac{m \cosh\left(m x\right) \sinh\left(x\right) - \cosh\left(x\right) \sinh\left(m x\right)}{{\left(m^{2} - 1\right)} \cosh\left(x\right)^{2} - {\left(m^{2} - 1\right)} \sinh\left(x\right)^{2}}"," ",0,"(m*cosh(m*x)*sinh(x) - cosh(x)*sinh(m*x))/((m^2 - 1)*cosh(x)^2 - (m^2 - 1)*sinh(x)^2)","A",0
196,1,19,0,0.400518," ","integrate(cosh(2*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{6} \, \cosh\left(x\right)^{3} + \frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{2} - \frac{1}{2} \, \cosh\left(x\right)"," ",0,"1/6*cosh(x)^3 + 1/2*cosh(x)*sinh(x)^2 - 1/2*cosh(x)","A",0
197,1,33,0,0.456556," ","integrate(cosh(3*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{8} \, \cosh\left(x\right)^{4} + \frac{1}{8} \, \sinh\left(x\right)^{4} + \frac{1}{4} \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \frac{1}{4} \, \cosh\left(x\right)^{2}"," ",0,"1/8*cosh(x)^4 + 1/8*sinh(x)^4 + 1/4*(3*cosh(x)^2 - 1)*sinh(x)^2 - 1/4*cosh(x)^2","B",0
198,1,38,0,0.414470," ","integrate(cosh(4*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{10} \, \cosh\left(x\right)^{5} + \frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{4} - \frac{1}{6} \, \cosh\left(x\right)^{3} + \frac{1}{2} \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{2}"," ",0,"1/10*cosh(x)^5 + 1/2*cosh(x)*sinh(x)^4 - 1/6*cosh(x)^3 + 1/2*(2*cosh(x)^3 - cosh(x))*sinh(x)^2","B",0
199,1,42,0,0.494802," ","integrate(cosh(m*x)*sinh(x),x, algorithm=""fricas"")","\frac{m \sinh\left(m x\right) \sinh\left(x\right) - \cosh\left(m x\right) \cosh\left(x\right)}{{\left(m^{2} - 1\right)} \cosh\left(x\right)^{2} - {\left(m^{2} - 1\right)} \sinh\left(x\right)^{2}}"," ",0,"(m*sinh(m*x)*sinh(x) - cosh(m*x)*cosh(x))/((m^2 - 1)*cosh(x)^2 - (m^2 - 1)*sinh(x)^2)","A",0
200,1,115,0,0.433845," ","integrate(sinh(x)*tanh(2*x),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \cosh\left(x\right) + \frac{1}{2} \, \sqrt{2} \sinh\left(x\right)\right) - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \arctan\left(-\frac{\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - \cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/2*((sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*arctan(1/2*sqrt(2)*cosh(x) + 1/2*sqrt(2)*sinh(x)) - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*arctan(-1/2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))/(cosh(x) - sinh(x))) - cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
201,1,76,0,0.517536," ","integrate(sinh(x)*tanh(3*x),x, algorithm=""fricas"")","\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(-\frac{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} - 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/6*(2*(cosh(x) + sinh(x))*arctan(-(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) - sinh(x))) - 6*(cosh(x) + sinh(x))*arctan(cosh(x) + sinh(x)) + 3*cosh(x)^2 + 6*cosh(x)*sinh(x) + 3*sinh(x)^2 - 3)/(cosh(x) + sinh(x))","B",0
202,1,168,0,0.494623," ","integrate(sinh(x)*tanh(4*x),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(\sqrt{\sqrt{2} + 2} \arctan\left(\frac{1}{2} \, {\left(\sqrt{\sqrt{2} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{\sqrt{2} + 2} {\left(\sqrt{2} - 2\right)} - {\left({\left(\sqrt{2} - 2\right)} e^{\left(2 \, x\right)} - \sqrt{2} + 2\right)} \sqrt{\sqrt{2} + 2}\right)} e^{\left(-x\right)}\right) e^{x} - \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{1}{2} \, {\left(\sqrt{-\sqrt{2} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} {\left(\sqrt{2} + 2\right)} \sqrt{-\sqrt{2} + 2} - {\left({\left(\sqrt{2} + 2\right)} e^{\left(2 \, x\right)} - \sqrt{2} - 2\right)} \sqrt{-\sqrt{2} + 2}\right)} e^{\left(-x\right)}\right) e^{x} - e^{\left(2 \, x\right)} + 1\right)} e^{\left(-x\right)}"," ",0,"-1/2*(sqrt(sqrt(2) + 2)*arctan(1/2*(sqrt(sqrt(2)*e^(2*x) + e^(4*x) + 1)*sqrt(sqrt(2) + 2)*(sqrt(2) - 2) - ((sqrt(2) - 2)*e^(2*x) - sqrt(2) + 2)*sqrt(sqrt(2) + 2))*e^(-x))*e^x - sqrt(-sqrt(2) + 2)*arctan(1/2*(sqrt(-sqrt(2)*e^(2*x) + e^(4*x) + 1)*(sqrt(2) + 2)*sqrt(-sqrt(2) + 2) - ((sqrt(2) + 2)*e^(2*x) - sqrt(2) - 2)*sqrt(-sqrt(2) + 2))*e^(-x))*e^x - e^(2*x) + 1)*e^(-x)","B",0
203,1,237,0,0.456792," ","integrate(sinh(x)*tanh(5*x),x, algorithm=""fricas"")","-\frac{1}{10} \, {\left(2 \, \sqrt{2} \sqrt{\sqrt{5} + 3} \arctan\left(\frac{1}{8} \, {\left(\sqrt{2 \, {\left(\sqrt{5} - 1\right)} e^{\left(2 \, x\right)} + 4 \, e^{\left(4 \, x\right)} + 4} {\left(\sqrt{5} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 3} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} - 3 \, \sqrt{2}\right)} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} + 3 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 3}\right)} e^{\left(-x\right)}\right) e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{5} + 3} \arctan\left(\frac{1}{8} \, {\left(\sqrt{-2 \, {\left(\sqrt{5} + 1\right)} e^{\left(2 \, x\right)} + 4 \, e^{\left(4 \, x\right)} + 4} {\left(\sqrt{5} \sqrt{2} + 3 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 3} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} + 3 \, \sqrt{2}\right)} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} - 3 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 3}\right)} e^{\left(-x\right)}\right) e^{x} + 4 \, \arctan\left(e^{x}\right) e^{x} - 5 \, e^{\left(2 \, x\right)} + 5\right)} e^{\left(-x\right)}"," ",0,"-1/10*(2*sqrt(2)*sqrt(sqrt(5) + 3)*arctan(1/8*(sqrt(2*(sqrt(5) - 1)*e^(2*x) + 4*e^(4*x) + 4)*(sqrt(5)*sqrt(2) - 3*sqrt(2))*sqrt(sqrt(5) + 3) - 2*((sqrt(5)*sqrt(2) - 3*sqrt(2))*e^(2*x) - sqrt(5)*sqrt(2) + 3*sqrt(2))*sqrt(sqrt(5) + 3))*e^(-x))*e^x - 2*sqrt(2)*sqrt(-sqrt(5) + 3)*arctan(1/8*(sqrt(-2*(sqrt(5) + 1)*e^(2*x) + 4*e^(4*x) + 4)*(sqrt(5)*sqrt(2) + 3*sqrt(2))*sqrt(-sqrt(5) + 3) - 2*((sqrt(5)*sqrt(2) + 3*sqrt(2))*e^(2*x) - sqrt(5)*sqrt(2) - 3*sqrt(2))*sqrt(-sqrt(5) + 3))*e^(-x))*e^x + 4*arctan(e^x)*e^x - 5*e^(2*x) + 5)*e^(-x)","B",0
204,1,205,0,0.583873," ","integrate(sinh(x)*tanh(6*x),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(2 \, \sqrt{\sqrt{3} + 2} \arctan\left({\left(\sqrt{\sqrt{3} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} - {\left({\left(\sqrt{3} - 2\right)} e^{\left(2 \, x\right)} - \sqrt{3} + 2\right)} \sqrt{\sqrt{3} + 2}\right)} e^{\left(-x\right)}\right) e^{x} - 2 \, \sqrt{-\sqrt{3} + 2} \arctan\left({\left(\sqrt{-\sqrt{3} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} {\left(\sqrt{3} + 2\right)} \sqrt{-\sqrt{3} + 2} - {\left({\left(\sqrt{3} + 2\right)} e^{\left(2 \, x\right)} - \sqrt{3} - 2\right)} \sqrt{-\sqrt{3} + 2}\right)} e^{\left(-x\right)}\right) e^{x} + \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} e^{\left(3 \, x\right)} + \frac{1}{2} \, \sqrt{2} e^{x}\right) e^{x} + \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} e^{x}\right) e^{x} - 3 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-x\right)}"," ",0,"-1/6*(2*sqrt(sqrt(3) + 2)*arctan((sqrt(sqrt(3)*e^(2*x) + e^(4*x) + 1)*sqrt(sqrt(3) + 2)*(sqrt(3) - 2) - ((sqrt(3) - 2)*e^(2*x) - sqrt(3) + 2)*sqrt(sqrt(3) + 2))*e^(-x))*e^x - 2*sqrt(-sqrt(3) + 2)*arctan((sqrt(-sqrt(3)*e^(2*x) + e^(4*x) + 1)*(sqrt(3) + 2)*sqrt(-sqrt(3) + 2) - ((sqrt(3) + 2)*e^(2*x) - sqrt(3) - 2)*sqrt(-sqrt(3) + 2))*e^(-x))*e^x + sqrt(2)*arctan(1/2*sqrt(2)*e^(3*x) + 1/2*sqrt(2)*e^x)*e^x + sqrt(2)*arctan(1/2*sqrt(2)*e^x)*e^x - 3*e^(2*x) + 3)*e^(-x)","B",0
205,0,0,0,0.498283," ","integrate(sinh(x)*tanh(n*x),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(x\right) \tanh\left(n x\right), x\right)"," ",0,"integral(sinh(x)*tanh(n*x), x)","F",0
206,1,42,0,0.439924," ","integrate(coth(2*x)*sinh(x),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - \cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*(cosh(x) + sinh(x))*arctan(cosh(x) + sinh(x)) - cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
207,1,118,0,0.428927," ","integrate(coth(3*x)*sinh(x),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{1}{3} \, \sqrt{3} \sinh\left(x\right)\right) - 2 \, {\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2} + 2 \, \sqrt{3}}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - 3 \, \cosh\left(x\right)^{2} - 6 \, \cosh\left(x\right) \sinh\left(x\right) - 3 \, \sinh\left(x\right)^{2} + 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/6*(2*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*arctan(1/3*sqrt(3)*cosh(x) + 1/3*sqrt(3)*sinh(x)) - 2*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*arctan(-1/3*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2 + 2*sqrt(3))/(cosh(x) - sinh(x))) - 3*cosh(x)^2 - 6*cosh(x)*sinh(x) - 3*sinh(x)^2 + 3)/(cosh(x) + sinh(x))","B",0
208,1,128,0,0.501820," ","integrate(coth(4*x)*sinh(x),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \cosh\left(x\right) + \frac{1}{2} \, \sqrt{2} \sinh\left(x\right)\right) - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \arctan\left(-\frac{\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) + 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, \cosh\left(x\right)^{2} - 4 \, \cosh\left(x\right) \sinh\left(x\right) - 2 \, \sinh\left(x\right)^{2} + 2}{4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/4*((sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*arctan(1/2*sqrt(2)*cosh(x) + 1/2*sqrt(2)*sinh(x)) - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*arctan(-1/2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))/(cosh(x) - sinh(x))) + 2*(cosh(x) + sinh(x))*arctan(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 + 2)/(cosh(x) + sinh(x))","B",0
209,1,230,0,0.468079," ","integrate(coth(5*x)*sinh(x),x, algorithm=""fricas"")","-\frac{1}{10} \, {\left(2 \, \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{1}{40} \, {\left(\sqrt{2 \, {\left(\sqrt{5} + 1\right)} e^{\left(2 \, x\right)} + 4 \, e^{\left(4 \, x\right)} + 4} {\left(\sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} + 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5}\right)} e^{\left(-x\right)}\right) e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{5} + 5} \arctan\left(\frac{1}{40} \, {\left(\sqrt{-2 \, {\left(\sqrt{5} - 1\right)} e^{\left(2 \, x\right)} + 4 \, e^{\left(4 \, x\right)} + 4} {\left(\sqrt{5} \sqrt{2} + 5 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5} - 2 \, {\left({\left(\sqrt{5} \sqrt{2} + 5 \, \sqrt{2}\right)} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5}\right)} e^{\left(-x\right)}\right) e^{x} - 5 \, e^{\left(2 \, x\right)} + 5\right)} e^{\left(-x\right)}"," ",0,"-1/10*(2*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/40*(sqrt(2*(sqrt(5) + 1)*e^(2*x) + 4*e^(4*x) + 4)*(sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(sqrt(5) + 5) - 2*((sqrt(5)*sqrt(2) - 5*sqrt(2))*e^(2*x) - sqrt(5)*sqrt(2) + 5*sqrt(2))*sqrt(sqrt(5) + 5))*e^(-x))*e^x - 2*sqrt(2)*sqrt(-sqrt(5) + 5)*arctan(1/40*(sqrt(-2*(sqrt(5) - 1)*e^(2*x) + 4*e^(4*x) + 4)*(sqrt(5)*sqrt(2) + 5*sqrt(2))*sqrt(-sqrt(5) + 5) - 2*((sqrt(5)*sqrt(2) + 5*sqrt(2))*e^(2*x) - sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(-sqrt(5) + 5))*e^(-x))*e^x - 5*e^(2*x) + 5)*e^(-x)","B",0
210,1,164,0,0.463503," ","integrate(coth(6*x)*sinh(x),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{1}{3} \, \sqrt{3} \sinh\left(x\right)\right) - {\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2} + 2 \, \sqrt{3}}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(-\frac{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 3 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 3 \, \cosh\left(x\right)^{2} - 6 \, \cosh\left(x\right) \sinh\left(x\right) - 3 \, \sinh\left(x\right)^{2} + 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/6*((sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*arctan(1/3*sqrt(3)*cosh(x) + 1/3*sqrt(3)*sinh(x)) - (sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*arctan(-1/3*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2 + 2*sqrt(3))/(cosh(x) - sinh(x))) - (cosh(x) + sinh(x))*arctan(-(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) - sinh(x))) + 3*(cosh(x) + sinh(x))*arctan(cosh(x) + sinh(x)) - 3*cosh(x)^2 - 6*cosh(x)*sinh(x) - 3*sinh(x)^2 + 3)/(cosh(x) + sinh(x))","B",0
211,1,35,0,0.486670," ","integrate(sech(2*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right)"," ",0,"1/4*sqrt(2)*log((cosh(x)^2 + sinh(x)^2 - 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2))","B",0
212,1,52,0,0.431885," ","integrate(sech(3*x)*sinh(x),x, algorithm=""fricas"")","\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 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"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*cosh(x)/(cosh(x) - sinh(x)))","B",0
213,1,215,0,0.452800," ","integrate(sech(4*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + {\left({\left(\sqrt{2} - 1\right)} \cosh\left(x\right) + {\left(\sqrt{2} - 1\right)} \sinh\left(x\right)\right)} \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - {\left({\left(\sqrt{2} - 1\right)} \cosh\left(x\right) + {\left(\sqrt{2} - 1\right)} \sinh\left(x\right)\right)} \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + {\left({\left(\sqrt{2} + 1\right)} \cosh\left(x\right) + {\left(\sqrt{2} + 1\right)} \sinh\left(x\right)\right)} \sqrt{-\sqrt{2} + 2} + 1\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - {\left({\left(\sqrt{2} + 1\right)} \cosh\left(x\right) + {\left(\sqrt{2} + 1\right)} \sinh\left(x\right)\right)} \sqrt{-\sqrt{2} + 2} + 1\right)"," ",0,"1/8*sqrt(sqrt(2) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + ((sqrt(2) - 1)*cosh(x) + (sqrt(2) - 1)*sinh(x))*sqrt(sqrt(2) + 2) + 1) - 1/8*sqrt(sqrt(2) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - ((sqrt(2) - 1)*cosh(x) + (sqrt(2) - 1)*sinh(x))*sqrt(sqrt(2) + 2) + 1) - 1/8*sqrt(-sqrt(2) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + ((sqrt(2) + 1)*cosh(x) + (sqrt(2) + 1)*sinh(x))*sqrt(-sqrt(2) + 2) + 1) + 1/8*sqrt(-sqrt(2) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - ((sqrt(2) + 1)*cosh(x) + (sqrt(2) + 1)*sinh(x))*sqrt(-sqrt(2) + 2) + 1)","B",0
214,1,182,0,0.440461," ","integrate(sech(5*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \log\left(\frac{4 \, \cosh\left(x\right)^{4} + 4 \, \sinh\left(x\right)^{4} - 4 \, {\left(\sqrt{5} + 1\right)} \cosh\left(x\right)^{2} + 4 \, {\left(6 \, \cosh\left(x\right)^{2} - \sqrt{5} - 1\right)} \sinh\left(x\right)^{2} + \sqrt{5} + 7}{2 \, \cosh\left(x\right)^{4} + 2 \, \sinh\left(x\right)^{4} + 2 \, {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 1}\right) - \frac{1}{20} \, \log\left(\frac{2 \, \cosh\left(x\right)^{4} + 2 \, \sinh\left(x\right)^{4} + 2 \, {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 1}{\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}}\right) + \frac{1}{5} \, \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"1/20*sqrt(5)*log((4*cosh(x)^4 + 4*sinh(x)^4 - 4*(sqrt(5) + 1)*cosh(x)^2 + 4*(6*cosh(x)^2 - sqrt(5) - 1)*sinh(x)^2 + sqrt(5) + 7)/(2*cosh(x)^4 + 2*sinh(x)^4 + 2*(6*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 1)) - 1/20*log((2*cosh(x)^4 + 2*sinh(x)^4 + 2*(6*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 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)) + 1/5*log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
215,1,250,0,0.460387," ","integrate(sech(6*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{\sqrt{3} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + {\left({\left(\sqrt{3} - 2\right)} \cosh\left(x\right) + {\left(\sqrt{3} - 2\right)} \sinh\left(x\right)\right)} \sqrt{\sqrt{3} + 2} + 1\right) - \frac{1}{12} \, \sqrt{\sqrt{3} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - {\left({\left(\sqrt{3} - 2\right)} \cosh\left(x\right) + {\left(\sqrt{3} - 2\right)} \sinh\left(x\right)\right)} \sqrt{\sqrt{3} + 2} + 1\right) - \frac{1}{12} \, \sqrt{-\sqrt{3} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + {\left({\left(\sqrt{3} + 2\right)} \cosh\left(x\right) + {\left(\sqrt{3} + 2\right)} \sinh\left(x\right)\right)} \sqrt{-\sqrt{3} + 2} + 1\right) + \frac{1}{12} \, \sqrt{-\sqrt{3} + 2} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - {\left({\left(\sqrt{3} + 2\right)} \cosh\left(x\right) + {\left(\sqrt{3} + 2\right)} \sinh\left(x\right)\right)} \sqrt{-\sqrt{3} + 2} + 1\right) + \frac{1}{12} \, \sqrt{2} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right)"," ",0,"1/12*sqrt(sqrt(3) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + ((sqrt(3) - 2)*cosh(x) + (sqrt(3) - 2)*sinh(x))*sqrt(sqrt(3) + 2) + 1) - 1/12*sqrt(sqrt(3) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - ((sqrt(3) - 2)*cosh(x) + (sqrt(3) - 2)*sinh(x))*sqrt(sqrt(3) + 2) + 1) - 1/12*sqrt(-sqrt(3) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + ((sqrt(3) + 2)*cosh(x) + (sqrt(3) + 2)*sinh(x))*sqrt(-sqrt(3) + 2) + 1) + 1/12*sqrt(-sqrt(3) + 2)*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - ((sqrt(3) + 2)*cosh(x) + (sqrt(3) + 2)*sinh(x))*sqrt(-sqrt(3) + 2) + 1) + 1/12*sqrt(2)*log((cosh(x)^2 + sinh(x)^2 + 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2))","B",0
216,1,6,0,0.424722," ","integrate(csch(2*x)*sinh(x),x, algorithm=""fricas"")","\arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)"," ",0,"arctan(cosh(x) + sinh(x))","A",0
217,1,31,0,0.434800," ","integrate(csch(3*x)*sinh(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)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*(3*sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x)))","B",0
218,1,76,0,0.445467," ","integrate(csch(4*x)*sinh(x),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \cosh\left(x\right) + \frac{1}{2} \, \sqrt{2} \sinh\left(x\right)\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - \frac{1}{2} \, \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*cosh(x) + 1/2*sqrt(2)*sinh(x)) - 1/4*sqrt(2)*arctan(-1/2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))/(cosh(x) - sinh(x))) - 1/2*arctan(cosh(x) + sinh(x))","B",0
219,1,171,0,0.475274," ","integrate(csch(5*x)*sinh(x),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{2} \sqrt{-\sqrt{5} + 5} \arctan\left(\frac{1}{40} \, \sqrt{5} \sqrt{2} \sqrt{-32 \, {\left(\sqrt{5} - 1\right)} e^{\left(2 \, x\right)} + 64 \, e^{\left(4 \, x\right)} + 64} \sqrt{-\sqrt{5} + 5} - \frac{1}{20} \, {\left(4 \, \sqrt{5} \sqrt{2} e^{\left(2 \, x\right)} + \sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5}\right) + \frac{1}{5} \, \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(-\frac{1}{20} \, {\left(4 \, \sqrt{5} \sqrt{2} e^{\left(2 \, x\right)} + \sqrt{5} \sqrt{2} + 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5} + \frac{1}{5} \, \sqrt{5} \sqrt{{\left(\sqrt{5} + 1\right)} e^{\left(2 \, x\right)} + 2 \, e^{\left(4 \, x\right)} + 2} \sqrt{\sqrt{5} + 5}\right)"," ",0,"-1/5*sqrt(2)*sqrt(-sqrt(5) + 5)*arctan(1/40*sqrt(5)*sqrt(2)*sqrt(-32*(sqrt(5) - 1)*e^(2*x) + 64*e^(4*x) + 64)*sqrt(-sqrt(5) + 5) - 1/20*(4*sqrt(5)*sqrt(2)*e^(2*x) + sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(-sqrt(5) + 5)) + 1/5*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(-1/20*(4*sqrt(5)*sqrt(2)*e^(2*x) + sqrt(5)*sqrt(2) + 5*sqrt(2))*sqrt(sqrt(5) + 5) + 1/5*sqrt(5)*sqrt((sqrt(5) + 1)*e^(2*x) + 2*e^(4*x) + 2)*sqrt(sqrt(5) + 5))","B",0
220,1,107,0,0.442190," ","integrate(csch(6*x)*sinh(x),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{1}{3} \, \sqrt{3} \sinh\left(x\right)\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2} + 2 \, \sqrt{3}}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - \frac{1}{6} \, \arctan\left(-\frac{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \frac{1}{2} \, \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*cosh(x) + 1/3*sqrt(3)*sinh(x)) + 1/6*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2 + 2*sqrt(3))/(cosh(x) - sinh(x))) - 1/6*arctan(-(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) - sinh(x))) + 1/2*arctan(cosh(x) + sinh(x))","B",0
221,1,19,0,0.448802," ","integrate(cosh(x)*sinh(2*x),x, algorithm=""fricas"")","\frac{1}{6} \, \cosh\left(x\right)^{3} + \frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \frac{1}{2} \, \cosh\left(x\right)"," ",0,"1/6*cosh(x)^3 + 1/2*cosh(x)*sinh(x)^2 + 1/2*cosh(x)","B",0
222,1,33,0,0.474277," ","integrate(cosh(x)*sinh(3*x),x, algorithm=""fricas"")","\frac{1}{8} \, \cosh\left(x\right)^{4} + \frac{1}{8} \, \sinh\left(x\right)^{4} + \frac{1}{4} \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \frac{1}{4} \, \cosh\left(x\right)^{2}"," ",0,"1/8*cosh(x)^4 + 1/8*sinh(x)^4 + 1/4*(3*cosh(x)^2 + 1)*sinh(x)^2 + 1/4*cosh(x)^2","B",0
223,1,36,0,0.422744," ","integrate(cosh(x)*sinh(4*x),x, algorithm=""fricas"")","\frac{1}{10} \, \cosh\left(x\right)^{5} + \frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{4} + \frac{1}{6} \, \cosh\left(x\right)^{3} + \frac{1}{2} \, {\left(2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{2}"," ",0,"1/10*cosh(x)^5 + 1/2*cosh(x)*sinh(x)^4 + 1/6*cosh(x)^3 + 1/2*(2*cosh(x)^3 + cosh(x))*sinh(x)^2","B",0
224,1,42,0,0.513129," ","integrate(cosh(x)*sinh(m*x),x, algorithm=""fricas"")","\frac{m \cosh\left(m x\right) \cosh\left(x\right) - \sinh\left(m x\right) \sinh\left(x\right)}{{\left(m^{2} - 1\right)} \cosh\left(x\right)^{2} - {\left(m^{2} - 1\right)} \sinh\left(x\right)^{2}}"," ",0,"(m*cosh(m*x)*cosh(x) - sinh(m*x)*sinh(x))/((m^2 - 1)*cosh(x)^2 - (m^2 - 1)*sinh(x)^2)","A",0
225,1,17,0,0.432668," ","integrate(cosh(x)*cosh(2*x),x, algorithm=""fricas"")","\frac{1}{6} \, \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)"," ",0,"1/6*sinh(x)^3 + 1/2*(cosh(x)^2 + 1)*sinh(x)","A",0
226,1,20,0,0.392941," ","integrate(cosh(x)*cosh(3*x),x, algorithm=""fricas"")","\frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"1/2*cosh(x)*sinh(x)^3 + 1/2*(cosh(x)^3 + cosh(x))*sinh(x)","A",0
227,1,34,0,0.408940," ","integrate(cosh(x)*cosh(4*x),x, algorithm=""fricas"")","\frac{1}{10} \, \sinh\left(x\right)^{5} + \frac{1}{6} \, {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(x\right)^{4} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)"," ",0,"1/10*sinh(x)^5 + 1/6*(6*cosh(x)^2 + 1)*sinh(x)^3 + 1/2*(cosh(x)^4 + cosh(x)^2)*sinh(x)","B",0
228,1,42,0,0.418716," ","integrate(cosh(x)*cosh(m*x),x, algorithm=""fricas"")","\frac{m \cosh\left(x\right) \sinh\left(m x\right) - \cosh\left(m x\right) \sinh\left(x\right)}{{\left(m^{2} - 1\right)} \cosh\left(x\right)^{2} - {\left(m^{2} - 1\right)} \sinh\left(x\right)^{2}}"," ",0,"(m*cosh(x)*sinh(m*x) - cosh(m*x)*sinh(x))/((m^2 - 1)*cosh(x)^2 - (m^2 - 1)*sinh(x)^2)","A",0
229,1,73,0,0.446689," ","integrate(cosh(x)*tanh(2*x),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right) + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} + 2}{4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/4*(2*cosh(x)^2 + (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*log((cosh(x)^2 + sinh(x)^2 - 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2)) + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 + 2)/(cosh(x) + sinh(x))","B",0
230,1,82,0,0.413714," ","integrate(cosh(x)*tanh(3*x),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{2} + {\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 4 \, \sqrt{3} \cosh\left(x\right) + 5}{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 1}\right) + 6 \, \cosh\left(x\right) \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} + 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/6*(3*cosh(x)^2 + (sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*log((2*cosh(x)^2 + 2*sinh(x)^2 - 4*sqrt(3)*cosh(x) + 5)/(2*cosh(x)^2 + 2*sinh(x)^2 - 1)) + 6*cosh(x)*sinh(x) + 3*sinh(x)^2 + 3)/(cosh(x) + sinh(x))","B",0
231,1,213,0,0.522851," ","integrate(cosh(x)*tanh(4*x),x, algorithm=""fricas"")","-\frac{\sqrt{\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + \sqrt{\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - \sqrt{\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - \sqrt{\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) + \sqrt{-\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + \sqrt{-\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - \sqrt{-\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - \sqrt{-\sqrt{2} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - 4 \, \cosh\left(x\right)^{2} - 8 \, \cosh\left(x\right) \sinh\left(x\right) - 4 \, \sinh\left(x\right)^{2} - 4}{8 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/8*(sqrt(sqrt(2) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + sqrt(sqrt(2) + 2)*(cosh(x) + sinh(x)) + 1) - sqrt(sqrt(2) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - sqrt(sqrt(2) + 2)*(cosh(x) + sinh(x)) + 1) + sqrt(-sqrt(2) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + sqrt(-sqrt(2) + 2)*(cosh(x) + sinh(x)) + 1) - sqrt(-sqrt(2) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - sqrt(-sqrt(2) + 2)*(cosh(x) + sinh(x)) + 1) - 4*cosh(x)^2 - 8*cosh(x)*sinh(x) - 4*sinh(x)^2 - 4)/(cosh(x) + sinh(x))","B",0
232,1,293,0,0.423152," ","integrate(cosh(x)*tanh(5*x),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\sqrt{5} + 5} \log\left(2 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\sqrt{5} + 5} + 2\right) - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\sqrt{5} + 5} \log\left(2 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\sqrt{5} + 5} + 2\right) + {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{-\sqrt{5} + 5} \log\left(2 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{-\sqrt{5} + 5} + 2\right) - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{-\sqrt{5} + 5} \log\left(2 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{-\sqrt{5} + 5} + 2\right) - 10 \, \cosh\left(x\right)^{2} - 20 \, \cosh\left(x\right) \sinh\left(x\right) - 10 \, \sinh\left(x\right)^{2} - 10}{20 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/20*((sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(sqrt(5) + 5)*log(2*cosh(x)^2 + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 + (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(sqrt(5) + 5) + 2) - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(sqrt(5) + 5)*log(2*cosh(x)^2 + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(sqrt(5) + 5) + 2) + (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(-sqrt(5) + 5)*log(2*cosh(x)^2 + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 + (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(-sqrt(5) + 5) + 2) - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(-sqrt(5) + 5)*log(2*cosh(x)^2 + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(-sqrt(5) + 5) + 2) - 10*cosh(x)^2 - 20*cosh(x)*sinh(x) - 10*sinh(x)^2 - 10)/(cosh(x) + sinh(x))","B",0
233,1,258,0,0.480430," ","integrate(cosh(x)*tanh(6*x),x, algorithm=""fricas"")","-\frac{\sqrt{\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + \sqrt{\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - \sqrt{\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - \sqrt{\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) + \sqrt{-\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + \sqrt{-\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - \sqrt{-\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - \sqrt{-\sqrt{3} + 2} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + 1\right) - 6 \, \cosh\left(x\right)^{2} - {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right) - 12 \, \cosh\left(x\right) \sinh\left(x\right) - 6 \, \sinh\left(x\right)^{2} - 6}{12 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/12*(sqrt(sqrt(3) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + sqrt(sqrt(3) + 2)*(cosh(x) + sinh(x)) + 1) - sqrt(sqrt(3) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - sqrt(sqrt(3) + 2)*(cosh(x) + sinh(x)) + 1) + sqrt(-sqrt(3) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + sqrt(-sqrt(3) + 2)*(cosh(x) + sinh(x)) + 1) - sqrt(-sqrt(3) + 2)*(cosh(x) + sinh(x))*log(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - sqrt(-sqrt(3) + 2)*(cosh(x) + sinh(x)) + 1) - 6*cosh(x)^2 - (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*log((cosh(x)^2 + sinh(x)^2 - 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2)) - 12*cosh(x)*sinh(x) - 6*sinh(x)^2 - 6)/(cosh(x) + sinh(x))","B",0
234,1,52,0,0.410918," ","integrate(cosh(x)*coth(2*x),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{2} - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*(cosh(x)^2 - (cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + (cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
235,1,104,0,0.441682," ","integrate(cosh(x)*coth(3*x),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{2} - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(\cosh\left(x\right) + \sinh\left(x\right)\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) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, \cosh\left(x\right) \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} + 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/6*(3*cosh(x)^2 - (cosh(x) + sinh(x))*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) + (cosh(x) + sinh(x))*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) - 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 6*cosh(x)*sinh(x) + 3*sinh(x)^2 + 3)/(cosh(x) + sinh(x))","B",0
236,1,101,0,0.485264," ","integrate(cosh(x)*coth(4*x),x, algorithm=""fricas"")","\frac{4 \, \cosh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right) - 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 8 \, \cosh\left(x\right) \sinh\left(x\right) + 4 \, \sinh\left(x\right)^{2} + 4}{8 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/8*(4*cosh(x)^2 + (sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*log((cosh(x)^2 + sinh(x)^2 - 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2)) - 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 8*cosh(x)*sinh(x) + 4*sinh(x)^2 + 4)/(cosh(x) + sinh(x))","B",0
237,1,272,0,0.440493," ","integrate(cosh(x)*coth(5*x),x, algorithm=""fricas"")","\frac{10 \, \cosh\left(x\right)^{2} + {\left(\sqrt{5} \cosh\left(x\right) + \sqrt{5} \sinh\left(x\right)\right)} \log\left(-\frac{4 \, {\left(\sqrt{5} - 1\right)} \cosh\left(x\right) - 4 \, \cosh\left(x\right)^{2} - 4 \, \sinh\left(x\right)^{2} + \sqrt{5} - 7}{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}\right) + {\left(\sqrt{5} \cosh\left(x\right) + \sqrt{5} \sinh\left(x\right)\right)} \log\left(-\frac{4 \, {\left(\sqrt{5} + 1\right)} \cosh\left(x\right) - 4 \, \cosh\left(x\right)^{2} - 4 \, \sinh\left(x\right)^{2} - \sqrt{5} - 7}{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}\right) - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right) + {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right) - 4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 20 \, \cosh\left(x\right) \sinh\left(x\right) + 10 \, \sinh\left(x\right)^{2} + 10}{20 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/20*(10*cosh(x)^2 + (sqrt(5)*cosh(x) + sqrt(5)*sinh(x))*log(-(4*(sqrt(5) - 1)*cosh(x) - 4*cosh(x)^2 - 4*sinh(x)^2 + sqrt(5) - 7)/(2*cosh(x)^2 + 2*sinh(x)^2 + 2*cosh(x) + 1)) + (sqrt(5)*cosh(x) + sqrt(5)*sinh(x))*log(-(4*(sqrt(5) + 1)*cosh(x) - 4*cosh(x)^2 - 4*sinh(x)^2 - sqrt(5) - 7)/(2*cosh(x)^2 + 2*sinh(x)^2 - 2*cosh(x) + 1)) - (cosh(x) + sinh(x))*log((2*cosh(x)^2 + 2*sinh(x)^2 + 2*cosh(x) + 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + (cosh(x) + sinh(x))*log((2*cosh(x)^2 + 2*sinh(x)^2 - 2*cosh(x) + 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 4*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 4*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 20*cosh(x)*sinh(x) + 10*sinh(x)^2 + 10)/(cosh(x) + sinh(x))","B",0
238,1,157,0,0.566142," ","integrate(cosh(x)*coth(6*x),x, algorithm=""fricas"")","\frac{6 \, \cosh\left(x\right)^{2} + {\left(\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 4 \, \sqrt{3} \cosh\left(x\right) + 5}{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 1}\right) - {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(\cosh\left(x\right) + \sinh\left(x\right)\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) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 12 \, \cosh\left(x\right) \sinh\left(x\right) + 6 \, \sinh\left(x\right)^{2} + 6}{12 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/12*(6*cosh(x)^2 + (sqrt(3)*cosh(x) + sqrt(3)*sinh(x))*log((2*cosh(x)^2 + 2*sinh(x)^2 - 4*sqrt(3)*cosh(x) + 5)/(2*cosh(x)^2 + 2*sinh(x)^2 - 1)) - (cosh(x) + sinh(x))*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) + (cosh(x) + sinh(x))*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) - 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 12*cosh(x)*sinh(x) + 6*sinh(x)^2 + 6)/(cosh(x) + sinh(x))","B",0
239,0,0,0,0.430848," ","integrate(cosh(x)*coth(n*x),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(x\right) \coth\left(n x\right), x\right)"," ",0,"integral(cosh(x)*coth(n*x), x)","F",0
240,1,68,0,0.408909," ","integrate(cosh(x)*sech(2*x),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \cosh\left(x\right) + \frac{1}{2} \, \sqrt{2} \sinh\left(x\right)\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*cosh(x) + 1/2*sqrt(2)*sinh(x)) - 1/2*sqrt(2)*arctan(-1/2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))/(cosh(x) - sinh(x)))","B",0
241,1,31,0,0.471842," ","integrate(cosh(x)*sech(3*x),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + 3 \, \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(x) + 3*sqrt(3)*sinh(x))/(cosh(x) - sinh(x)))","B",0
242,1,142,0,0.447957," ","integrate(cosh(x)*sech(4*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} e^{\left(2 \, x\right)} - \sqrt{2}\right)} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{\sqrt{2} + 2}\right)} e^{\left(-x\right)}\right) + \frac{1}{2} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{1}{2} \, {\left({\left(\sqrt{2} e^{\left(2 \, x\right)} - \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} - \sqrt{2} \sqrt{\sqrt{2} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{-\sqrt{2} + 2}\right)} e^{\left(-x\right)}\right)"," ",0,"-1/2*sqrt(sqrt(2) + 2)*arctan(-1/2*((sqrt(2)*e^(2*x) - sqrt(2))*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2)*e^(2*x) + e^(4*x) + 1)*sqrt(sqrt(2) + 2))*e^(-x)) + 1/2*sqrt(-sqrt(2) + 2)*arctan(-1/2*((sqrt(2)*e^(2*x) - sqrt(2))*sqrt(-sqrt(2) + 2) - sqrt(2)*sqrt(sqrt(2)*e^(2*x) + e^(4*x) + 1)*sqrt(-sqrt(2) + 2))*e^(-x))","B",0
243,1,173,0,0.445915," ","integrate(cosh(x)*sech(5*x),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{2} \sqrt{\sqrt{5} + 5} \arctan\left(\frac{1}{40} \, \sqrt{5} \sqrt{2} \sqrt{-32 \, {\left(\sqrt{5} + 1\right)} e^{\left(2 \, x\right)} + 64 \, e^{\left(4 \, x\right)} + 64} \sqrt{\sqrt{5} + 5} - \frac{1}{20} \, {\left(4 \, \sqrt{5} \sqrt{2} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} - 5 \, \sqrt{2}\right)} \sqrt{\sqrt{5} + 5}\right) + \frac{1}{5} \, \sqrt{2} \sqrt{-\sqrt{5} + 5} \arctan\left(-\frac{1}{20} \, {\left(4 \, \sqrt{5} \sqrt{2} e^{\left(2 \, x\right)} - \sqrt{5} \sqrt{2} + 5 \, \sqrt{2}\right)} \sqrt{-\sqrt{5} + 5} + \frac{1}{5} \, \sqrt{5} \sqrt{{\left(\sqrt{5} - 1\right)} e^{\left(2 \, x\right)} + 2 \, e^{\left(4 \, x\right)} + 2} \sqrt{-\sqrt{5} + 5}\right)"," ",0,"-1/5*sqrt(2)*sqrt(sqrt(5) + 5)*arctan(1/40*sqrt(5)*sqrt(2)*sqrt(-32*(sqrt(5) + 1)*e^(2*x) + 64*e^(4*x) + 64)*sqrt(sqrt(5) + 5) - 1/20*(4*sqrt(5)*sqrt(2)*e^(2*x) - sqrt(5)*sqrt(2) - 5*sqrt(2))*sqrt(sqrt(5) + 5)) + 1/5*sqrt(2)*sqrt(-sqrt(5) + 5)*arctan(-1/20*(4*sqrt(5)*sqrt(2)*e^(2*x) - sqrt(5)*sqrt(2) + 5*sqrt(2))*sqrt(-sqrt(5) + 5) + 1/5*sqrt(5)*sqrt((sqrt(5) - 1)*e^(2*x) + 2*e^(4*x) + 2)*sqrt(-sqrt(5) + 5))","B",0
244,1,156,0,0.463340," ","integrate(cosh(x)*sech(6*x),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{\sqrt{3} + 2} \arctan\left(-{\left(\sqrt{\sqrt{3} + 2} {\left(e^{\left(2 \, x\right)} - 1\right)} - \sqrt{-\sqrt{3} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{\sqrt{3} + 2}\right)} e^{\left(-x\right)}\right) - \frac{1}{3} \, \sqrt{-\sqrt{3} + 2} \arctan\left(-{\left(\sqrt{-\sqrt{3} + 2} {\left(e^{\left(2 \, x\right)} - 1\right)} - \sqrt{\sqrt{3} e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} + 1} \sqrt{-\sqrt{3} + 2}\right)} e^{\left(-x\right)}\right) - \frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} e^{\left(3 \, x\right)} + \frac{1}{2} \, \sqrt{2} e^{x}\right) - \frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} e^{x}\right)"," ",0,"-1/3*sqrt(sqrt(3) + 2)*arctan(-(sqrt(sqrt(3) + 2)*(e^(2*x) - 1) - sqrt(-sqrt(3)*e^(2*x) + e^(4*x) + 1)*sqrt(sqrt(3) + 2))*e^(-x)) - 1/3*sqrt(-sqrt(3) + 2)*arctan(-(sqrt(-sqrt(3) + 2)*(e^(2*x) - 1) - sqrt(sqrt(3)*e^(2*x) + e^(4*x) + 1)*sqrt(-sqrt(3) + 2))*e^(-x)) - 1/6*sqrt(2)*arctan(1/2*sqrt(2)*e^(3*x) + 1/2*sqrt(2)*e^x) - 1/6*sqrt(2)*arctan(1/2*sqrt(2)*e^x)","B",0
245,1,19,0,0.448123," ","integrate(cosh(x)*csch(2*x),x, algorithm=""fricas"")","-\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,"-1/2*log(cosh(x) + sinh(x) + 1) + 1/2*log(cosh(x) + sinh(x) - 1)","B",0
246,1,52,0,0.403111," ","integrate(cosh(x)*csch(3*x),x, algorithm=""fricas"")","-\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,"-1/6*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)))","B",0
247,1,54,0,0.502222," ","integrate(cosh(x)*csch(4*x),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) + 2}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}\right) - \frac{1}{4} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \frac{1}{4} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"1/8*sqrt(2)*log((cosh(x)^2 + sinh(x)^2 + 2*sqrt(2)*cosh(x) + 2)/(cosh(x)^2 + sinh(x)^2)) - 1/4*log(cosh(x) + sinh(x) + 1) + 1/4*log(cosh(x) + sinh(x) - 1)","B",0
248,1,180,0,0.433928," ","integrate(cosh(x)*csch(5*x),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \log\left(\frac{4 \, \cosh\left(x\right)^{4} + 4 \, \sinh\left(x\right)^{4} + 4 \, {\left(\sqrt{5} + 1\right)} \cosh\left(x\right)^{2} + 4 \, {\left(6 \, \cosh\left(x\right)^{2} + \sqrt{5} + 1\right)} \sinh\left(x\right)^{2} + \sqrt{5} + 7}{2 \, \cosh\left(x\right)^{4} + 2 \, \sinh\left(x\right)^{4} + 2 \, {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 1}\right) - \frac{1}{20} \, \log\left(\frac{2 \, \cosh\left(x\right)^{4} + 2 \, \sinh\left(x\right)^{4} + 2 \, {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 1}{\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}}\right) + \frac{1}{5} \, \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"1/20*sqrt(5)*log((4*cosh(x)^4 + 4*sinh(x)^4 + 4*(sqrt(5) + 1)*cosh(x)^2 + 4*(6*cosh(x)^2 + sqrt(5) + 1)*sinh(x)^2 + sqrt(5) + 7)/(2*cosh(x)^4 + 2*sinh(x)^4 + 2*(6*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 1)) - 1/20*log((2*cosh(x)^4 + 2*sinh(x)^4 + 2*(6*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 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)) + 1/5*log(2*sinh(x)/(cosh(x) - sinh(x)))","B",0
249,1,101,0,0.463569," ","integrate(cosh(x)*csch(6*x),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} + 4 \, \sqrt{3} \cosh\left(x\right) + 5}{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 1}\right) - \frac{1}{12} \, \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \frac{1}{12} \, \log\left(\frac{2 \, \cosh\left(x\right) - 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \frac{1}{6} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \frac{1}{6} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"1/12*sqrt(3)*log((2*cosh(x)^2 + 2*sinh(x)^2 + 4*sqrt(3)*cosh(x) + 5)/(2*cosh(x)^2 + 2*sinh(x)^2 - 1)) - 1/12*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) + 1/12*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) - 1/6*log(cosh(x) + sinh(x) + 1) + 1/6*log(cosh(x) + sinh(x) - 1)","B",0
250,1,88,0,0.623069," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(m \log\left(2 \, b\right) + 2 \, a\right) \Gamma\left(m + 1, 2 \, b x\right) + \cosh\left(m \log\left(-2 \, b\right) - 2 \, a\right) \Gamma\left(m + 1, -2 \, b x\right) - \Gamma\left(m + 1, 2 \, b x\right) \sinh\left(m \log\left(2 \, b\right) + 2 \, a\right) - \Gamma\left(m + 1, -2 \, b x\right) \sinh\left(m \log\left(-2 \, b\right) - 2 \, a\right)}{8 \, b}"," ",0,"1/8*(cosh(m*log(2*b) + 2*a)*gamma(m + 1, 2*b*x) + cosh(m*log(-2*b) - 2*a)*gamma(m + 1, -2*b*x) - gamma(m + 1, 2*b*x)*sinh(m*log(2*b) + 2*a) - gamma(m + 1, -2*b*x)*sinh(m*log(-2*b) - 2*a))/b","A",0
251,1,74,0,0.390652," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 3 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(2 \, b^{3} x^{3} + 3 \, b x\right)} \sinh\left(b x + a\right)^{2}}{8 \, b^{4}}"," ",0,"1/8*((2*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 - 3*(2*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a) + (2*b^3*x^3 + 3*b*x)*sinh(b*x + a)^2)/b^4","A",0
252,1,62,0,0.436576," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - {\left(2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{2}}{8 \, b^{3}}"," ",0,"-1/8*(4*b*x*cosh(b*x + a)*sinh(b*x + a) - (2*b^2*x^2 + 1)*cosh(b*x + a)^2 - (2*b^2*x^2 + 1)*sinh(b*x + a)^2)/b^3","A",0
253,1,42,0,0.555669," ","integrate(x*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b x \cosh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right) \sinh\left(b x + a\right)}{4 \, b^{2}}"," ",0,"1/4*(b*x*cosh(b*x + a)^2 + b*x*sinh(b*x + a)^2 - cosh(b*x + a)*sinh(b*x + a))/b^2","A",0
254,1,22,0,0.603381," ","integrate(cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2}}{4 \, b}"," ",0,"1/4*(cosh(b*x + a)^2 + sinh(b*x + a)^2)/b","A",0
255,1,37,0,0.584224," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x,x, algorithm=""fricas"")","\frac{1}{4} \, {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + \frac{1}{4} \, {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)"," ",0,"1/4*(Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) + 1/4*(Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a)","A",0
256,1,65,0,0.467340," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","\frac{{\left(b x {\rm Ei}\left(2 \, b x\right) + b x {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) - 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x {\rm Ei}\left(2 \, b x\right) - b x {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{2 \, x}"," ",0,"1/2*((b*x*Ei(2*b*x) + b*x*Ei(-2*b*x))*cosh(2*a) - 2*cosh(b*x + a)*sinh(b*x + a) + (b*x*Ei(2*b*x) - b*x*Ei(-2*b*x))*sinh(2*a))/x","A",0
257,1,104,0,0.516664," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^3,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{2} - {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{2 \, x^{2}}"," ",0,"-1/2*(b*x*cosh(b*x + a)^2 + b*x*sinh(b*x + a)^2 - (b^2*x^2*Ei(2*b*x) - b^2*x^2*Ei(-2*b*x))*cosh(2*a) + cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2*Ei(2*b*x) + b^2*x^2*Ei(-2*b*x))*sinh(2*a))/x^2","A",0
258,1,115,0,0.445040," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^4,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{2} + 2 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) - 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{6 \, x^{3}}"," ",0,"-1/6*(b*x*cosh(b*x + a)^2 + b*x*sinh(b*x + a)^2 + 2*(2*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a) - 2*(b^3*x^3*Ei(2*b*x) + b^3*x^3*Ei(-2*b*x))*cosh(2*a) - 2*(b^3*x^3*Ei(2*b*x) - b^3*x^3*Ei(-2*b*x))*sinh(2*a))/x^3","A",0
259,1,162,0,1.196156," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(m \log\left(3 \, b\right) + 3 \, a\right) \Gamma\left(m + 1, 3 \, b x\right) + 3 \, \cosh\left(m \log\left(b\right) + a\right) \Gamma\left(m + 1, b x\right) + 3 \, \cosh\left(m \log\left(-b\right) - a\right) \Gamma\left(m + 1, -b x\right) + \cosh\left(m \log\left(-3 \, b\right) - 3 \, a\right) \Gamma\left(m + 1, -3 \, b x\right) - \Gamma\left(m + 1, 3 \, b x\right) \sinh\left(m \log\left(3 \, b\right) + 3 \, a\right) - 3 \, \Gamma\left(m + 1, -b x\right) \sinh\left(m \log\left(-b\right) - a\right) - \Gamma\left(m + 1, -3 \, b x\right) \sinh\left(m \log\left(-3 \, b\right) - 3 \, a\right) - 3 \, \Gamma\left(m + 1, b x\right) \sinh\left(m \log\left(b\right) + a\right)}{24 \, b}"," ",0,"1/24*(cosh(m*log(3*b) + 3*a)*gamma(m + 1, 3*b*x) + 3*cosh(m*log(b) + a)*gamma(m + 1, b*x) + 3*cosh(m*log(-b) - a)*gamma(m + 1, -b*x) + cosh(m*log(-3*b) - 3*a)*gamma(m + 1, -3*b*x) - gamma(m + 1, 3*b*x)*sinh(m*log(3*b) + 3*a) - 3*gamma(m + 1, -b*x)*sinh(m*log(-b) - a) - gamma(m + 1, -3*b*x)*sinh(m*log(-3*b) - 3*a) - 3*gamma(m + 1, b*x)*sinh(m*log(b) + a))/b","A",0
260,1,135,0,0.492592," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3} + 9 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(9 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{3} + 27 \, {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right) - 3 \, {\left(27 \, b^{2} x^{2} + {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 54\right)} \sinh\left(b x + a\right)}{108 \, b^{4}}"," ",0,"1/108*(3*(3*b^3*x^3 + 2*b*x)*cosh(b*x + a)^3 + 9*(3*b^3*x^3 + 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^2 - (9*b^2*x^2 + 2)*sinh(b*x + a)^3 + 27*(b^3*x^3 + 6*b*x)*cosh(b*x + a) - 3*(27*b^2*x^2 + (9*b^2*x^2 + 2)*cosh(b*x + a)^2 + 54)*sinh(b*x + a))/b^4","A",0
261,1,105,0,0.518476," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{6 \, b x \sinh\left(b x + a\right)^{3} - {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - 3 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 27 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) + 18 \, {\left(b x \cosh\left(b x + a\right)^{2} + 3 \, b x\right)} \sinh\left(b x + a\right)}{108 \, b^{3}}"," ",0,"-1/108*(6*b*x*sinh(b*x + a)^3 - (9*b^2*x^2 + 2)*cosh(b*x + a)^3 - 3*(9*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^2 - 27*(b^2*x^2 + 2)*cosh(b*x + a) + 18*(b*x*cosh(b*x + a)^2 + 3*b*x)*sinh(b*x + a))/b^3","A",0
262,1,74,0,0.715529," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{3 \, b x \cosh\left(b x + a\right)^{3} + 9 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 9 \, b x \cosh\left(b x + a\right) - \sinh\left(b x + a\right)^{3} - 3 \, {\left(\cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)}{36 \, b^{2}}"," ",0,"1/36*(3*b*x*cosh(b*x + a)^3 + 9*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + 9*b*x*cosh(b*x + a) - sinh(b*x + a)^3 - 3*(cosh(b*x + a)^2 + 3)*sinh(b*x + a))/b^2","A",0
263,1,38,0,0.931258," ","integrate(cosh(b*x+a)^2*sinh(b*x+a),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} + 3 \, \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 + 3*cosh(b*x + a))/b","B",0
264,1,67,0,0.626878," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/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{1}{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{1}{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) + 1/8*(Ei(b*x) - Ei(-b*x))*cosh(a) + 1/8*(Ei(3*b*x) + Ei(-3*b*x))*sinh(3*a) + 1/8*(Ei(b*x) + Ei(-b*x))*sinh(a)","A",0
265,1,124,0,0.551066," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sinh\left(b x + a\right)^{3} - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) + b x {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - {\left(b x {\rm Ei}\left(b x\right) + b x {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) - b x {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - {\left(b x {\rm Ei}\left(b x\right) - b x {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{8 \, x}"," ",0,"-1/8*(2*sinh(b*x + a)^3 - 3*(b*x*Ei(3*b*x) + b*x*Ei(-3*b*x))*cosh(3*a) - (b*x*Ei(b*x) + b*x*Ei(-b*x))*cosh(a) + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) - 3*(b*x*Ei(3*b*x) - b*x*Ei(-3*b*x))*sinh(3*a) - (b*x*Ei(b*x) - b*x*Ei(-b*x))*sinh(a))/x","A",0
266,1,196,0,0.607907," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^3,x, algorithm=""fricas"")","-\frac{6 \, b x \cosh\left(b x + a\right)^{3} + 18 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)^{3} - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) - b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) + b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{16 \, x^{2}}"," ",0,"-1/16*(6*b*x*cosh(b*x + a)^3 + 18*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + 2*b*x*cosh(b*x + a) + 2*sinh(b*x + a)^3 - 9*(b^2*x^2*Ei(3*b*x) - b^2*x^2*Ei(-3*b*x))*cosh(3*a) - (b^2*x^2*Ei(b*x) - b^2*x^2*Ei(-b*x))*cosh(a) + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) - 9*(b^2*x^2*Ei(3*b*x) + b^2*x^2*Ei(-3*b*x))*sinh(3*a) - (b^2*x^2*Ei(b*x) + b^2*x^2*Ei(-b*x))*sinh(a))/x^2","A",0
267,1,223,0,0.504979," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^4,x, algorithm=""fricas"")","-\frac{6 \, b x \cosh\left(b x + a\right)^{3} + 18 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(9 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{3} + 2 \, b x \cosh\left(b x + a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) + b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) - b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{48 \, x^{3}}"," ",0,"-1/48*(6*b*x*cosh(b*x + a)^3 + 18*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(9*b^2*x^2 + 2)*sinh(b*x + a)^3 + 2*b*x*cosh(b*x + a) - 27*(b^3*x^3*Ei(3*b*x) + b^3*x^3*Ei(-3*b*x))*cosh(3*a) - (b^3*x^3*Ei(b*x) + b^3*x^3*Ei(-b*x))*cosh(a) + 2*(b^2*x^2 + 3*(9*b^2*x^2 + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a) - 27*(b^3*x^3*Ei(3*b*x) - b^3*x^3*Ei(-3*b*x))*sinh(3*a) - (b^3*x^3*Ei(b*x) - b^3*x^3*Ei(-b*x))*sinh(a))/x^3","A",0
268,1,172,0,0.609694," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(m \log\left(4 \, b\right) + 4 \, a\right) \Gamma\left(m + 1, 4 \, b x\right) + 4 \, \cosh\left(m \log\left(2 \, b\right) + 2 \, a\right) \Gamma\left(m + 1, 2 \, b x\right) + 4 \, \cosh\left(m \log\left(-2 \, b\right) - 2 \, a\right) \Gamma\left(m + 1, -2 \, b x\right) + \cosh\left(m \log\left(-4 \, b\right) - 4 \, a\right) \Gamma\left(m + 1, -4 \, b x\right) - \Gamma\left(m + 1, 4 \, b x\right) \sinh\left(m \log\left(4 \, b\right) + 4 \, a\right) - 4 \, \Gamma\left(m + 1, 2 \, b x\right) \sinh\left(m \log\left(2 \, b\right) + 2 \, a\right) - 4 \, \Gamma\left(m + 1, -2 \, b x\right) \sinh\left(m \log\left(-2 \, b\right) - 2 \, a\right) - \Gamma\left(m + 1, -4 \, b x\right) \sinh\left(m \log\left(-4 \, b\right) - 4 \, a\right)}{64 \, b}"," ",0,"1/64*(cosh(m*log(4*b) + 4*a)*gamma(m + 1, 4*b*x) + 4*cosh(m*log(2*b) + 2*a)*gamma(m + 1, 2*b*x) + 4*cosh(m*log(-2*b) - 2*a)*gamma(m + 1, -2*b*x) + cosh(m*log(-4*b) - 4*a)*gamma(m + 1, -4*b*x) - gamma(m + 1, 4*b*x)*sinh(m*log(4*b) + 4*a) - 4*gamma(m + 1, 2*b*x)*sinh(m*log(2*b) + 2*a) - 4*gamma(m + 1, -2*b*x)*sinh(m*log(-2*b) - 2*a) - gamma(m + 1, -4*b*x)*sinh(m*log(-4*b) - 4*a))/b","A",0
269,1,191,0,0.467632," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{4} - 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \sinh\left(b x + a\right)^{4} + 16 \, {\left(2 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(16 \, b^{3} x^{3} + 3 \, {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} + 24 \, b x\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left({\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + 16 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{256 \, b^{4}}"," ",0,"1/256*((8*b^3*x^3 + 3*b*x)*cosh(b*x + a)^4 - 3*(8*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (8*b^3*x^3 + 3*b*x)*sinh(b*x + a)^4 + 16*(2*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 + 2*(16*b^3*x^3 + 3*(8*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 + 24*b*x)*sinh(b*x + a)^2 - 3*((8*b^2*x^2 + 1)*cosh(b*x + a)^3 + 16*(2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a))/b^4","A",0
270,1,154,0,0.712237," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{16 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} - {\left(8 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} - 16 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(16 \, b^{2} x^{2} + 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 8\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\left(b x \cosh\left(b x + a\right)^{3} + 4 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{256 \, b^{3}}"," ",0,"-1/256*(16*b*x*cosh(b*x + a)*sinh(b*x + a)^3 - (8*b^2*x^2 + 1)*cosh(b*x + a)^4 - (8*b^2*x^2 + 1)*sinh(b*x + a)^4 - 16*(2*b^2*x^2 + 1)*cosh(b*x + a)^2 - 2*(16*b^2*x^2 + 3*(8*b^2*x^2 + 1)*cosh(b*x + a)^2 + 8)*sinh(b*x + a)^2 + 16*(b*x*cosh(b*x + a)^3 + 4*b*x*cosh(b*x + a))*sinh(b*x + a))/b^3","A",0
271,1,108,0,0.619875," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{32 \, b^{2}}"," ",0,"1/32*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^2 - cosh(b*x + a)*sinh(b*x + a)^3 + 2*(3*b*x*cosh(b*x + a)^2 + 2*b*x)*sinh(b*x + a)^2 - (cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a))/b^2","A",0
272,1,54,0,1.017199," ","integrate(cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right)^{2}}{32 \, b}"," ",0,"1/32*(cosh(b*x + a)^4 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 4*cosh(b*x + a)^2)/b","B",0
273,1,73,0,1.133241," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x,x, algorithm=""fricas"")","\frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) - {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) + \frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + \frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) + {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) + \frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)"," ",0,"1/16*(Ei(4*b*x) - Ei(-4*b*x))*cosh(4*a) + 1/8*(Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) + 1/16*(Ei(4*b*x) + Ei(-4*b*x))*sinh(4*a) + 1/8*(Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a)","A",0
274,1,139,0,0.846092," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - {\left(b x {\rm Ei}\left(4 \, b x\right) + b x {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - {\left(b x {\rm Ei}\left(2 \, b x\right) + b x {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 2 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - {\left(b x {\rm Ei}\left(4 \, b x\right) - b x {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - {\left(b x {\rm Ei}\left(2 \, b x\right) - b x {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{4 \, x}"," ",0,"-1/4*(2*cosh(b*x + a)*sinh(b*x + a)^3 - (b*x*Ei(4*b*x) + b*x*Ei(-4*b*x))*cosh(4*a) - (b*x*Ei(2*b*x) + b*x*Ei(-2*b*x))*cosh(2*a) + 2*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - (b*x*Ei(4*b*x) - b*x*Ei(-4*b*x))*sinh(4*a) - (b*x*Ei(2*b*x) - b*x*Ei(-2*b*x))*sinh(2*a))/x","A",0
275,1,227,0,0.905822," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^3,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} + b x \cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(6 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{4 \, x^{2}}"," ",0,"-1/4*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 + b*x*cosh(b*x + a)^2 + cosh(b*x + a)*sinh(b*x + a)^3 + (6*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 - 2*(b^2*x^2*Ei(4*b*x) - b^2*x^2*Ei(-4*b*x))*cosh(4*a) - (b^2*x^2*Ei(2*b*x) - b^2*x^2*Ei(-2*b*x))*cosh(2*a) + (cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) - 2*(b^2*x^2*Ei(4*b*x) + b^2*x^2*Ei(-4*b*x))*sinh(4*a) - (b^2*x^2*Ei(2*b*x) + b^2*x^2*Ei(-2*b*x))*sinh(2*a))/x^2","B",0
276,1,261,0,0.877648," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^4,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} + 2 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)^{2} + {\left(6 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 2 \, {\left({\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 8 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{12 \, x^{3}}"," ",0,"-1/12*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 + 2*(8*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*cosh(b*x + a)^2 + (6*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 - 8*(b^3*x^3*Ei(4*b*x) + b^3*x^3*Ei(-4*b*x))*cosh(4*a) - 2*(b^3*x^3*Ei(2*b*x) + b^3*x^3*Ei(-2*b*x))*cosh(2*a) + 2*((8*b^2*x^2 + 1)*cosh(b*x + a)^3 + (2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) - 8*(b^3*x^3*Ei(4*b*x) - b^3*x^3*Ei(-4*b*x))*sinh(4*a) - 2*(b^3*x^3*Ei(2*b*x) - b^3*x^3*Ei(-2*b*x))*sinh(2*a))/x^3","A",0
277,1,13,0,0.845957," ","integrate(cosh(x)*sinh(x)/x,x, algorithm=""fricas"")","\frac{1}{4} \, {\rm Ei}\left(2 \, x\right) - \frac{1}{4} \, {\rm Ei}\left(-2 \, x\right)"," ",0,"1/4*Ei(2*x) - 1/4*Ei(-2*x)","B",0
278,1,24,0,0.915389," ","integrate(cosh(x)*sinh(x)/x^2,x, algorithm=""fricas"")","\frac{x {\rm Ei}\left(2 \, x\right) + x {\rm Ei}\left(-2 \, x\right) - 2 \, \cosh\left(x\right) \sinh\left(x\right)}{2 \, x}"," ",0,"1/2*(x*Ei(2*x) + x*Ei(-2*x) - 2*cosh(x)*sinh(x))/x","A",0
279,1,43,0,0.583500," ","integrate(cosh(x)*sinh(x)/x^3,x, algorithm=""fricas"")","\frac{x^{2} {\rm Ei}\left(2 \, x\right) - x^{2} {\rm Ei}\left(-2 \, x\right) - x \cosh\left(x\right)^{2} - x \sinh\left(x\right)^{2} - \cosh\left(x\right) \sinh\left(x\right)}{2 \, x^{2}}"," ",0,"1/2*(x^2*Ei(2*x) - x^2*Ei(-2*x) - x*cosh(x)^2 - x*sinh(x)^2 - cosh(x)*sinh(x))/x^2","A",0
280,1,162,0,0.782149," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(m \log\left(3 \, b\right) + 3 \, a\right) \Gamma\left(m + 1, 3 \, b x\right) - 3 \, \cosh\left(m \log\left(b\right) + a\right) \Gamma\left(m + 1, b x\right) + 3 \, \cosh\left(m \log\left(-b\right) - a\right) \Gamma\left(m + 1, -b x\right) - \cosh\left(m \log\left(-3 \, b\right) - 3 \, a\right) \Gamma\left(m + 1, -3 \, b x\right) - \Gamma\left(m + 1, 3 \, b x\right) \sinh\left(m \log\left(3 \, b\right) + 3 \, a\right) - 3 \, \Gamma\left(m + 1, -b x\right) \sinh\left(m \log\left(-b\right) - a\right) + \Gamma\left(m + 1, -3 \, b x\right) \sinh\left(m \log\left(-3 \, b\right) - 3 \, a\right) + 3 \, \Gamma\left(m + 1, b x\right) \sinh\left(m \log\left(b\right) + a\right)}{24 \, b}"," ",0,"-1/24*(cosh(m*log(3*b) + 3*a)*gamma(m + 1, 3*b*x) - 3*cosh(m*log(b) + a)*gamma(m + 1, b*x) + 3*cosh(m*log(-b) - a)*gamma(m + 1, -b*x) - cosh(m*log(-3*b) - 3*a)*gamma(m + 1, -3*b*x) - gamma(m + 1, 3*b*x)*sinh(m*log(3*b) + 3*a) - 3*gamma(m + 1, -b*x)*sinh(m*log(-b) - a) + gamma(m + 1, -3*b*x)*sinh(m*log(-3*b) - 3*a) + 3*gamma(m + 1, b*x)*sinh(m*log(b) + a))/b","A",0
281,1,135,0,0.541724," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \sinh\left(b x + a\right)^{3} - 81 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) + 9 \, {\left(3 \, b^{3} x^{3} - {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} + 18 \, b x\right)} \sinh\left(b x + a\right)}{108 \, b^{4}}"," ",0,"-1/108*((9*b^2*x^2 + 2)*cosh(b*x + a)^3 + 3*(9*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^2 - 3*(3*b^3*x^3 + 2*b*x)*sinh(b*x + a)^3 - 81*(b^2*x^2 + 2)*cosh(b*x + a) + 9*(3*b^3*x^3 - (3*b^3*x^3 + 2*b*x)*cosh(b*x + a)^2 + 18*b*x)*sinh(b*x + a))/b^4","A",0
282,1,104,0,0.462535," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{6 \, b x \cosh\left(b x + a\right)^{3} + 18 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(9 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{3} - 54 \, b x \cosh\left(b x + a\right) + 3 \, {\left(9 \, b^{2} x^{2} - {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 18\right)} \sinh\left(b x + a\right)}{108 \, b^{3}}"," ",0,"-1/108*(6*b*x*cosh(b*x + a)^3 + 18*b*x*cosh(b*x + a)*sinh(b*x + a)^2 - (9*b^2*x^2 + 2)*sinh(b*x + a)^3 - 54*b*x*cosh(b*x + a) + 3*(9*b^2*x^2 - (9*b^2*x^2 + 2)*cosh(b*x + a)^2 + 18)*sinh(b*x + a))/b^3","A",0
283,1,76,0,0.403834," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{3 \, b x \sinh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 9 \, {\left(b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right) + 9 \, \cosh\left(b x + a\right)}{36 \, b^{2}}"," ",0,"1/36*(3*b*x*sinh(b*x + a)^3 - cosh(b*x + a)^3 - 3*cosh(b*x + a)*sinh(b*x + a)^2 + 9*(b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a) + 9*cosh(b*x + a))/b^2","A",0
284,1,32,0,0.584622," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sinh\left(b x + a\right)^{3} + 3 \, {\left(\cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)}{12 \, b}"," ",0,"1/12*(sinh(b*x + a)^3 + 3*(cosh(b*x + a)^2 - 1)*sinh(b*x + a))/b","B",0
285,1,67,0,0.624624," ","integrate(cosh(b*x+a)*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{1}{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{1}{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) - 1/8*(Ei(b*x) + Ei(-b*x))*cosh(a) + 1/8*(Ei(3*b*x) - Ei(-3*b*x))*sinh(3*a) - 1/8*(Ei(b*x) - Ei(-b*x))*sinh(a)","A",0
286,1,126,0,0.573280," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) - b x {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + {\left(b x {\rm Ei}\left(b x\right) - b x {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) + b x {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + {\left(b x {\rm Ei}\left(b x\right) + b x {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right) - 2 \, \cosh\left(b x + a\right)}{8 \, x}"," ",0,"-1/8*(2*cosh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^2 - 3*(b*x*Ei(3*b*x) - b*x*Ei(-3*b*x))*cosh(3*a) + (b*x*Ei(b*x) - b*x*Ei(-b*x))*cosh(a) - 3*(b*x*Ei(3*b*x) + b*x*Ei(-3*b*x))*sinh(3*a) + (b*x*Ei(b*x) + b*x*Ei(-b*x))*sinh(a) - 2*cosh(b*x + a))/x","A",0
287,1,195,0,0.615682," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^3,x, algorithm=""fricas"")","-\frac{6 \, b x \sinh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) + b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(9 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right) - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) - b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right) - 2 \, \cosh\left(b x + a\right)}{16 \, x^{2}}"," ",0,"-1/16*(6*b*x*sinh(b*x + a)^3 + 2*cosh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^2 - 9*(b^2*x^2*Ei(3*b*x) + b^2*x^2*Ei(-3*b*x))*cosh(3*a) + (b^2*x^2*Ei(b*x) + b^2*x^2*Ei(-b*x))*cosh(a) + 2*(9*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a) - 9*(b^2*x^2*Ei(3*b*x) - b^2*x^2*Ei(-3*b*x))*sinh(3*a) + (b^2*x^2*Ei(b*x) - b^2*x^2*Ei(-b*x))*sinh(a) - 2*cosh(b*x + a))/x^2","A",0
288,1,224,0,0.481393," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^4,x, algorithm=""fricas"")","-\frac{6 \, b x \sinh\left(b x + a\right)^{3} + 2 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) - b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(9 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) + b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{48 \, x^{3}}"," ",0,"-1/48*(6*b*x*sinh(b*x + a)^3 + 2*(9*b^2*x^2 + 2)*cosh(b*x + a)^3 + 6*(9*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^2 - 2*(b^2*x^2 + 2)*cosh(b*x + a) - 27*(b^3*x^3*Ei(3*b*x) - b^3*x^3*Ei(-3*b*x))*cosh(3*a) + (b^3*x^3*Ei(b*x) - b^3*x^3*Ei(-b*x))*cosh(a) + 2*(9*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a) - 27*(b^3*x^3*Ei(3*b*x) + b^3*x^3*Ei(-3*b*x))*sinh(3*a) + (b^3*x^3*Ei(b*x) + b^3*x^3*Ei(-b*x))*sinh(a))/x^3","A",0
289,1,122,0,0.931041," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, b x \cosh\left(m \log\left(x\right)\right) + {\left(m + 1\right)} \cosh\left(m \log\left(4 \, b\right) + 4 \, a\right) \Gamma\left(m + 1, 4 \, b x\right) - {\left(m + 1\right)} \cosh\left(m \log\left(-4 \, b\right) - 4 \, a\right) \Gamma\left(m + 1, -4 \, b x\right) - {\left(m + 1\right)} \Gamma\left(m + 1, 4 \, b x\right) \sinh\left(m \log\left(4 \, b\right) + 4 \, a\right) + {\left(m + 1\right)} \Gamma\left(m + 1, -4 \, b x\right) \sinh\left(m \log\left(-4 \, b\right) - 4 \, a\right) + 8 \, b x \sinh\left(m \log\left(x\right)\right)}{64 \, {\left(b m + b\right)}}"," ",0,"-1/64*(8*b*x*cosh(m*log(x)) + (m + 1)*cosh(m*log(4*b) + 4*a)*gamma(m + 1, 4*b*x) - (m + 1)*cosh(m*log(-4*b) - 4*a)*gamma(m + 1, -4*b*x) - (m + 1)*gamma(m + 1, 4*b*x)*sinh(m*log(4*b) + 4*a) + (m + 1)*gamma(m + 1, -4*b*x)*sinh(m*log(-4*b) - 4*a) + 8*b*x*sinh(m*log(x)))/(b*m + b)","A",0
290,1,140,0,0.552210," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{32 \, b^{4} x^{4} + 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} - 16 \, {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 18 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} - 16 \, {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4}}{1024 \, b^{4}}"," ",0,"-1/1024*(32*b^4*x^4 + 3*(8*b^2*x^2 + 1)*cosh(b*x + a)^4 - 16*(8*b^3*x^3 + 3*b*x)*cosh(b*x + a)^3*sinh(b*x + a) + 18*(8*b^2*x^2 + 1)*cosh(b*x + a)^2*sinh(b*x + a)^2 - 16*(8*b^3*x^3 + 3*b*x)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(8*b^2*x^2 + 1)*sinh(b*x + a)^4)/b^4","B",0
291,1,110,0,0.773745," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, b^{3} x^{3} + 3 \, b x \cosh\left(b x + a\right)^{4} + 18 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 3 \, b x \sinh\left(b x + a\right)^{4} - 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) - 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3}}{192 \, b^{3}}"," ",0,"-1/192*(8*b^3*x^3 + 3*b*x*cosh(b*x + a)^4 + 18*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 3*b*x*sinh(b*x + a)^4 - 3*(8*b^2*x^2 + 1)*cosh(b*x + a)^3*sinh(b*x + a) - 3*(8*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3)/b^3","B",0
292,1,88,0,0.722916," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{16 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 16 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 8 \, b^{2} x^{2} - \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} - \sinh\left(b x + a\right)^{4}}{128 \, b^{2}}"," ",0,"1/128*(16*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 16*b*x*cosh(b*x + a)*sinh(b*x + a)^3 - 8*b^2*x^2 - cosh(b*x + a)^4 - 6*cosh(b*x + a)^2*sinh(b*x + a)^2 - sinh(b*x + a)^4)/b^2","B",0
293,1,40,0,0.649052," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - b x}{8 \, b}"," ",0,"1/8*(cosh(b*x + a)^3*sinh(b*x + a) + cosh(b*x + a)*sinh(b*x + a)^3 - b*x)/b","A",0
294,1,41,0,0.731147," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x,x, algorithm=""fricas"")","\frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) + {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) + \frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) - {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - \frac{1}{8} \, \log\left(x\right)"," ",0,"1/16*(Ei(4*b*x) + Ei(-4*b*x))*cosh(4*a) + 1/16*(Ei(4*b*x) - Ei(-4*b*x))*sinh(4*a) - 1/8*log(x)","A",0
295,1,88,0,0.625220," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x {\rm Ei}\left(4 \, b x\right) - b x {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - 2 \, {\left(b x {\rm Ei}\left(4 \, b x\right) + b x {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - 1}{8 \, x}"," ",0,"-1/8*(cosh(b*x + a)^4 + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + sinh(b*x + a)^4 - 2*(b*x*Ei(4*b*x) - b*x*Ei(-4*b*x))*cosh(4*a) - 2*(b*x*Ei(4*b*x) + b*x*Ei(-4*b*x))*sinh(4*a) - 1)/x","A",0
296,1,140,0,0.455625," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^3,x, algorithm=""fricas"")","-\frac{16 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 16 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{4} - 8 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - 8 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - 1}{16 \, x^{2}}"," ",0,"-1/16*(16*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 16*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + cosh(b*x + a)^4 + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + sinh(b*x + a)^4 - 8*(b^2*x^2*Ei(4*b*x) + b^2*x^2*Ei(-4*b*x))*cosh(4*a) - 8*(b^2*x^2*Ei(4*b*x) - b^2*x^2*Ei(-4*b*x))*sinh(4*a) - 1)/x^2","B",0
297,1,172,0,1.108867," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^4,x, algorithm=""fricas"")","-\frac{8 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 6 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(8 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} - 16 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - 16 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - 1}{24 \, x^{3}}"," ",0,"-1/24*(8*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + (8*b^2*x^2 + 1)*cosh(b*x + a)^4 + 6*(8*b^2*x^2 + 1)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (8*b^2*x^2 + 1)*sinh(b*x + a)^4 - 16*(b^3*x^3*Ei(4*b*x) - b^3*x^3*Ei(-4*b*x))*cosh(4*a) - 16*(b^3*x^3*Ei(4*b*x) + b^3*x^3*Ei(-4*b*x))*sinh(4*a) - 1)/x^3","B",0
298,1,248,0,0.949172," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{3 \, \cosh\left(m \log\left(5 \, b\right) + 5 \, a\right) \Gamma\left(m + 1, 5 \, b x\right) + 5 \, \cosh\left(m \log\left(3 \, b\right) + 3 \, a\right) \Gamma\left(m + 1, 3 \, b x\right) - 30 \, \cosh\left(m \log\left(b\right) + a\right) \Gamma\left(m + 1, b x\right) + 30 \, \cosh\left(m \log\left(-b\right) - a\right) \Gamma\left(m + 1, -b x\right) - 5 \, \cosh\left(m \log\left(-3 \, b\right) - 3 \, a\right) \Gamma\left(m + 1, -3 \, b x\right) - 3 \, \cosh\left(m \log\left(-5 \, b\right) - 5 \, a\right) \Gamma\left(m + 1, -5 \, b x\right) - 3 \, \Gamma\left(m + 1, 5 \, b x\right) \sinh\left(m \log\left(5 \, b\right) + 5 \, a\right) - 5 \, \Gamma\left(m + 1, 3 \, b x\right) \sinh\left(m \log\left(3 \, b\right) + 3 \, a\right) - 30 \, \Gamma\left(m + 1, -b x\right) \sinh\left(m \log\left(-b\right) - a\right) + 5 \, \Gamma\left(m + 1, -3 \, b x\right) \sinh\left(m \log\left(-3 \, b\right) - 3 \, a\right) + 3 \, \Gamma\left(m + 1, -5 \, b x\right) \sinh\left(m \log\left(-5 \, b\right) - 5 \, a\right) + 30 \, \Gamma\left(m + 1, b x\right) \sinh\left(m \log\left(b\right) + a\right)}{480 \, b}"," ",0,"-1/480*(3*cosh(m*log(5*b) + 5*a)*gamma(m + 1, 5*b*x) + 5*cosh(m*log(3*b) + 3*a)*gamma(m + 1, 3*b*x) - 30*cosh(m*log(b) + a)*gamma(m + 1, b*x) + 30*cosh(m*log(-b) - a)*gamma(m + 1, -b*x) - 5*cosh(m*log(-3*b) - 3*a)*gamma(m + 1, -3*b*x) - 3*cosh(m*log(-5*b) - 5*a)*gamma(m + 1, -5*b*x) - 3*gamma(m + 1, 5*b*x)*sinh(m*log(5*b) + 5*a) - 5*gamma(m + 1, 3*b*x)*sinh(m*log(3*b) + 3*a) - 30*gamma(m + 1, -b*x)*sinh(m*log(-b) - a) + 5*gamma(m + 1, -3*b*x)*sinh(m*log(-3*b) - 3*a) + 3*gamma(m + 1, -5*b*x)*sinh(m*log(-5*b) - 5*a) + 30*gamma(m + 1, b*x)*sinh(m*log(b) + a))/b","A",0
299,1,274,0,0.418781," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{81 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{5} + 405 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 135 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \sinh\left(b x + a\right)^{5} + 625 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - 75 \, {\left(75 \, b^{3} x^{3} + 18 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{2} + 50 \, b x\right)} \sinh\left(b x + a\right)^{3} + 15 \, {\left(54 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 125 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 101250 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) + 225 \, {\left(150 \, b^{3} x^{3} - 3 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{4} - 25 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} + 900 \, b x\right)} \sinh\left(b x + a\right)}{270000 \, b^{4}}"," ",0,"-1/270000*(81*(25*b^2*x^2 + 2)*cosh(b*x + a)^5 + 405*(25*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^4 - 135*(25*b^3*x^3 + 6*b*x)*sinh(b*x + a)^5 + 625*(9*b^2*x^2 + 2)*cosh(b*x + a)^3 - 75*(75*b^3*x^3 + 18*(25*b^3*x^3 + 6*b*x)*cosh(b*x + a)^2 + 50*b*x)*sinh(b*x + a)^3 + 15*(54*(25*b^2*x^2 + 2)*cosh(b*x + a)^3 + 125*(9*b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a)^2 - 101250*(b^2*x^2 + 2)*cosh(b*x + a) + 225*(150*b^3*x^3 - 3*(25*b^3*x^3 + 6*b*x)*cosh(b*x + a)^4 - 25*(3*b^3*x^3 + 2*b*x)*cosh(b*x + a)^2 + 900*b*x)*sinh(b*x + a))/b^4","A",0
300,1,209,0,0.572668," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{270 \, b x \cosh\left(b x + a\right)^{5} + 1350 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 27 \, {\left(25 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{5} + 750 \, b x \cosh\left(b x + a\right)^{3} - 5 \, {\left(225 \, b^{2} x^{2} + 54 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 50\right)} \sinh\left(b x + a\right)^{3} - 13500 \, b x \cosh\left(b x + a\right) + 450 \, {\left(6 \, b x \cosh\left(b x + a\right)^{3} + 5 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 15 \, {\left(9 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} - 450 \, b^{2} x^{2} + 25 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 900\right)} \sinh\left(b x + a\right)}{54000 \, b^{3}}"," ",0,"-1/54000*(270*b*x*cosh(b*x + a)^5 + 1350*b*x*cosh(b*x + a)*sinh(b*x + a)^4 - 27*(25*b^2*x^2 + 2)*sinh(b*x + a)^5 + 750*b*x*cosh(b*x + a)^3 - 5*(225*b^2*x^2 + 54*(25*b^2*x^2 + 2)*cosh(b*x + a)^2 + 50)*sinh(b*x + a)^3 - 13500*b*x*cosh(b*x + a) + 450*(6*b*x*cosh(b*x + a)^3 + 5*b*x*cosh(b*x + a))*sinh(b*x + a)^2 - 15*(9*(25*b^2*x^2 + 2)*cosh(b*x + a)^4 - 450*b^2*x^2 + 25*(9*b^2*x^2 + 2)*cosh(b*x + a)^2 - 900)*sinh(b*x + a))/b^3","A",0
301,1,152,0,1.008929," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{45 \, b x \sinh\left(b x + a\right)^{5} - 9 \, \cosh\left(b x + a\right)^{5} - 45 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 75 \, {\left(6 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{3} - 25 \, \cosh\left(b x + a\right)^{3} - 15 \, {\left(6 \, \cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 225 \, {\left(b x \cosh\left(b x + a\right)^{4} + b x \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right) + 450 \, \cosh\left(b x + a\right)}{3600 \, b^{2}}"," ",0,"1/3600*(45*b*x*sinh(b*x + a)^5 - 9*cosh(b*x + a)^5 - 45*cosh(b*x + a)*sinh(b*x + a)^4 + 75*(6*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^3 - 25*cosh(b*x + a)^3 - 15*(6*cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a)^2 + 225*(b*x*cosh(b*x + a)^4 + b*x*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a) + 450*cosh(b*x + a))/b^2","A",0
302,1,64,0,0.836319," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{3 \, \sinh\left(b x + a\right)^{5} + 5 \, {\left(6 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 15 \, {\left(\cosh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)}{240 \, b}"," ",0,"1/240*(3*sinh(b*x + a)^5 + 5*(6*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 15*(cosh(b*x + a)^4 + cosh(b*x + a)^2 - 2)*sinh(b*x + a))/b","B",0
303,1,103,0,0.499135," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x,x, algorithm=""fricas"")","\frac{1}{32} \, {\left({\rm Ei}\left(5 \, b x\right) + {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) + \frac{1}{32} \, {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - \frac{1}{16} \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + \frac{1}{32} \, {\left({\rm Ei}\left(5 \, b x\right) - {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) + \frac{1}{32} \, {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - \frac{1}{16} \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)"," ",0,"1/32*(Ei(5*b*x) + Ei(-5*b*x))*cosh(5*a) + 1/32*(Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 1/16*(Ei(b*x) + Ei(-b*x))*cosh(a) + 1/32*(Ei(5*b*x) - Ei(-5*b*x))*sinh(5*a) + 1/32*(Ei(3*b*x) - Ei(-3*b*x))*sinh(3*a) - 1/16*(Ei(b*x) - Ei(-b*x))*sinh(a)","A",0
304,1,214,0,0.668736," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 5 \, {\left(b x {\rm Ei}\left(5 \, b x\right) - b x {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) - b x {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b x {\rm Ei}\left(b x\right) - b x {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 5 \, {\left(b x {\rm Ei}\left(5 \, b x\right) + b x {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) - 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) + b x {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b x {\rm Ei}\left(b x\right) + b x {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right) - 4 \, \cosh\left(b x + a\right)}{32 \, x}"," ",0,"-1/32*(2*cosh(b*x + a)^5 + 10*cosh(b*x + a)*sinh(b*x + a)^4 + 2*cosh(b*x + a)^3 + 2*(10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 - 5*(b*x*Ei(5*b*x) - b*x*Ei(-5*b*x))*cosh(5*a) - 3*(b*x*Ei(3*b*x) - b*x*Ei(-3*b*x))*cosh(3*a) + 2*(b*x*Ei(b*x) - b*x*Ei(-b*x))*cosh(a) - 5*(b*x*Ei(5*b*x) + b*x*Ei(-5*b*x))*sinh(5*a) - 3*(b*x*Ei(3*b*x) + b*x*Ei(-3*b*x))*sinh(3*a) + 2*(b*x*Ei(b*x) + b*x*Ei(-b*x))*sinh(a) - 4*cosh(b*x + a))/x","B",0
305,1,338,0,0.592758," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^3,x, algorithm=""fricas"")","-\frac{10 \, b x \sinh\left(b x + a\right)^{5} + 2 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(50 \, b x \cosh\left(b x + a\right)^{2} + 3 \, b x\right)} \sinh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 25 \, {\left(b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) + b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(25 \, b x \cosh\left(b x + a\right)^{4} + 9 \, b x \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right) - 25 \, {\left(b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) - b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right) - 4 \, \cosh\left(b x + a\right)}{64 \, x^{2}}"," ",0,"-1/64*(10*b*x*sinh(b*x + a)^5 + 2*cosh(b*x + a)^5 + 10*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(50*b*x*cosh(b*x + a)^2 + 3*b*x)*sinh(b*x + a)^3 + 2*cosh(b*x + a)^3 + 2*(10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^2 - 25*(b^2*x^2*Ei(5*b*x) + b^2*x^2*Ei(-5*b*x))*cosh(5*a) - 9*(b^2*x^2*Ei(3*b*x) + b^2*x^2*Ei(-3*b*x))*cosh(3*a) + 2*(b^2*x^2*Ei(b*x) + b^2*x^2*Ei(-b*x))*cosh(a) + 2*(25*b*x*cosh(b*x + a)^4 + 9*b*x*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a) - 25*(b^2*x^2*Ei(5*b*x) - b^2*x^2*Ei(-5*b*x))*sinh(5*a) - 9*(b^2*x^2*Ei(3*b*x) - b^2*x^2*Ei(-3*b*x))*sinh(3*a) + 2*(b^2*x^2*Ei(b*x) - b^2*x^2*Ei(-b*x))*sinh(a) - 4*cosh(b*x + a))/x^2","B",0
306,1,397,0,0.580767," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^4,x, algorithm=""fricas"")","-\frac{10 \, b x \sinh\left(b x + a\right)^{5} + 2 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{5} + 10 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 2 \, {\left(50 \, b x \cosh\left(b x + a\right)^{2} + 3 \, b x\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(10 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 4 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) - 125 \, {\left(b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) - b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(25 \, b x \cosh\left(b x + a\right)^{4} + 9 \, b x \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right) - 125 \, {\left(b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) - 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) + b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{192 \, x^{3}}"," ",0,"-1/192*(10*b*x*sinh(b*x + a)^5 + 2*(25*b^2*x^2 + 2)*cosh(b*x + a)^5 + 10*(25*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(9*b^2*x^2 + 2)*cosh(b*x + a)^3 + 2*(50*b*x*cosh(b*x + a)^2 + 3*b*x)*sinh(b*x + a)^3 + 2*(10*(25*b^2*x^2 + 2)*cosh(b*x + a)^3 + 3*(9*b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a)^2 - 4*(b^2*x^2 + 2)*cosh(b*x + a) - 125*(b^3*x^3*Ei(5*b*x) - b^3*x^3*Ei(-5*b*x))*cosh(5*a) - 27*(b^3*x^3*Ei(3*b*x) - b^3*x^3*Ei(-3*b*x))*cosh(3*a) + 2*(b^3*x^3*Ei(b*x) - b^3*x^3*Ei(-b*x))*cosh(a) + 2*(25*b*x*cosh(b*x + a)^4 + 9*b*x*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a) - 125*(b^3*x^3*Ei(5*b*x) + b^3*x^3*Ei(-5*b*x))*sinh(5*a) - 27*(b^3*x^3*Ei(3*b*x) + b^3*x^3*Ei(-3*b*x))*sinh(3*a) + 2*(b^3*x^3*Ei(b*x) + b^3*x^3*Ei(-b*x))*sinh(a))/x^3","A",0
307,1,172,0,0.768821," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(m \log\left(4 \, b\right) + 4 \, a\right) \Gamma\left(m + 1, 4 \, b x\right) - 4 \, \cosh\left(m \log\left(2 \, b\right) + 2 \, a\right) \Gamma\left(m + 1, 2 \, b x\right) - 4 \, \cosh\left(m \log\left(-2 \, b\right) - 2 \, a\right) \Gamma\left(m + 1, -2 \, b x\right) + \cosh\left(m \log\left(-4 \, b\right) - 4 \, a\right) \Gamma\left(m + 1, -4 \, b x\right) - \Gamma\left(m + 1, 4 \, b x\right) \sinh\left(m \log\left(4 \, b\right) + 4 \, a\right) + 4 \, \Gamma\left(m + 1, 2 \, b x\right) \sinh\left(m \log\left(2 \, b\right) + 2 \, a\right) + 4 \, \Gamma\left(m + 1, -2 \, b x\right) \sinh\left(m \log\left(-2 \, b\right) - 2 \, a\right) - \Gamma\left(m + 1, -4 \, b x\right) \sinh\left(m \log\left(-4 \, b\right) - 4 \, a\right)}{64 \, b}"," ",0,"1/64*(cosh(m*log(4*b) + 4*a)*gamma(m + 1, 4*b*x) - 4*cosh(m*log(2*b) + 2*a)*gamma(m + 1, 2*b*x) - 4*cosh(m*log(-2*b) - 2*a)*gamma(m + 1, -2*b*x) + cosh(m*log(-4*b) - 4*a)*gamma(m + 1, -4*b*x) - gamma(m + 1, 4*b*x)*sinh(m*log(4*b) + 4*a) + 4*gamma(m + 1, 2*b*x)*sinh(m*log(2*b) + 2*a) + 4*gamma(m + 1, -2*b*x)*sinh(m*log(-2*b) - 2*a) - gamma(m + 1, -4*b*x)*sinh(m*log(-4*b) - 4*a))/b","A",0
308,1,191,0,0.766250," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{4} - 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \sinh\left(b x + a\right)^{4} - 16 \, {\left(2 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(16 \, b^{3} x^{3} - 3 \, {\left(8 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} + 24 \, b x\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left({\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - 16 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{256 \, b^{4}}"," ",0,"1/256*((8*b^3*x^3 + 3*b*x)*cosh(b*x + a)^4 - 3*(8*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (8*b^3*x^3 + 3*b*x)*sinh(b*x + a)^4 - 16*(2*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 - 2*(16*b^3*x^3 - 3*(8*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 + 24*b*x)*sinh(b*x + a)^2 - 3*((8*b^2*x^2 + 1)*cosh(b*x + a)^3 - 16*(2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a))/b^4","A",0
309,1,154,0,0.476749," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{16 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} - {\left(8 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 16 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(16 \, b^{2} x^{2} - 3 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 8\right)} \sinh\left(b x + a\right)^{2} + 16 \, {\left(b x \cosh\left(b x + a\right)^{3} - 4 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{256 \, b^{3}}"," ",0,"-1/256*(16*b*x*cosh(b*x + a)*sinh(b*x + a)^3 - (8*b^2*x^2 + 1)*cosh(b*x + a)^4 - (8*b^2*x^2 + 1)*sinh(b*x + a)^4 + 16*(2*b^2*x^2 + 1)*cosh(b*x + a)^2 + 2*(16*b^2*x^2 - 3*(8*b^2*x^2 + 1)*cosh(b*x + a)^2 + 8)*sinh(b*x + a)^2 + 16*(b*x*cosh(b*x + a)^3 - 4*b*x*cosh(b*x + a))*sinh(b*x + a))/b^3","A",0
310,1,108,0,0.526871," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} - 4 \, b x \cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{32 \, b^{2}}"," ",0,"1/32*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 - 4*b*x*cosh(b*x + a)^2 - cosh(b*x + a)*sinh(b*x + a)^3 + 2*(3*b*x*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a)^2 - (cosh(b*x + a)^3 - 4*cosh(b*x + a))*sinh(b*x + a))/b^2","A",0
311,1,54,0,0.590708," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2}}{32 \, b}"," ",0,"1/32*(cosh(b*x + a)^4 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2)/b","B",0
312,1,73,0,0.610027," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","\frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) - {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) - \frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + \frac{1}{16} \, {\left({\rm Ei}\left(4 \, b x\right) + {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) - \frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)"," ",0,"1/16*(Ei(4*b*x) - Ei(-4*b*x))*cosh(4*a) - 1/8*(Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) + 1/16*(Ei(4*b*x) + Ei(-4*b*x))*sinh(4*a) - 1/8*(Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a)","A",0
313,1,139,0,0.654790," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - {\left(b x {\rm Ei}\left(4 \, b x\right) + b x {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) + {\left(b x {\rm Ei}\left(2 \, b x\right) + b x {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 2 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - {\left(b x {\rm Ei}\left(4 \, b x\right) - b x {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) + {\left(b x {\rm Ei}\left(2 \, b x\right) - b x {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{4 \, x}"," ",0,"-1/4*(2*cosh(b*x + a)*sinh(b*x + a)^3 - (b*x*Ei(4*b*x) + b*x*Ei(-4*b*x))*cosh(4*a) + (b*x*Ei(2*b*x) + b*x*Ei(-2*b*x))*cosh(2*a) + 2*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - (b*x*Ei(4*b*x) - b*x*Ei(-4*b*x))*sinh(4*a) + (b*x*Ei(2*b*x) - b*x*Ei(-2*b*x))*sinh(2*a))/x","A",0
314,1,229,0,0.566826," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^3,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) + {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) + {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{4 \, x^{2}}"," ",0,"-1/4*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + cosh(b*x + a)*sinh(b*x + a)^3 + (6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 - 2*(b^2*x^2*Ei(4*b*x) - b^2*x^2*Ei(-4*b*x))*cosh(4*a) + (b^2*x^2*Ei(2*b*x) - b^2*x^2*Ei(-2*b*x))*cosh(2*a) + (cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 2*(b^2*x^2*Ei(4*b*x) + b^2*x^2*Ei(-4*b*x))*sinh(4*a) + (b^2*x^2*Ei(2*b*x) + b^2*x^2*Ei(-2*b*x))*sinh(2*a))/x^2","B",0
315,1,264,0,0.681933," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^4,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + b x \sinh\left(b x + a\right)^{4} + 2 \, {\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)^{2} + {\left(6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \cosh\left(4 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 2 \, {\left({\left(8 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 8 \, {\left(b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right)\right)} \sinh\left(4 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{12 \, x^{3}}"," ",0,"-1/12*(b*x*cosh(b*x + a)^4 + b*x*sinh(b*x + a)^4 + 2*(8*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 - b*x*cosh(b*x + a)^2 + (6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 - 8*(b^3*x^3*Ei(4*b*x) + b^3*x^3*Ei(-4*b*x))*cosh(4*a) + 2*(b^3*x^3*Ei(2*b*x) + b^3*x^3*Ei(-2*b*x))*cosh(2*a) + 2*((8*b^2*x^2 + 1)*cosh(b*x + a)^3 - (2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) - 8*(b^3*x^3*Ei(4*b*x) - b^3*x^3*Ei(-4*b*x))*sinh(4*a) + 2*(b^3*x^3*Ei(2*b*x) - b^3*x^3*Ei(-2*b*x))*sinh(2*a))/x^3","A",0
316,1,248,0,0.787857," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(m \log\left(5 \, b\right) + 5 \, a\right) \Gamma\left(m + 1, 5 \, b x\right) - 5 \, \cosh\left(m \log\left(3 \, b\right) + 3 \, a\right) \Gamma\left(m + 1, 3 \, b x\right) - 30 \, \cosh\left(m \log\left(b\right) + a\right) \Gamma\left(m + 1, b x\right) - 30 \, \cosh\left(m \log\left(-b\right) - a\right) \Gamma\left(m + 1, -b x\right) - 5 \, \cosh\left(m \log\left(-3 \, b\right) - 3 \, a\right) \Gamma\left(m + 1, -3 \, b x\right) + 3 \, \cosh\left(m \log\left(-5 \, b\right) - 5 \, a\right) \Gamma\left(m + 1, -5 \, b x\right) - 3 \, \Gamma\left(m + 1, 5 \, b x\right) \sinh\left(m \log\left(5 \, b\right) + 5 \, a\right) + 5 \, \Gamma\left(m + 1, 3 \, b x\right) \sinh\left(m \log\left(3 \, b\right) + 3 \, a\right) + 30 \, \Gamma\left(m + 1, -b x\right) \sinh\left(m \log\left(-b\right) - a\right) + 5 \, \Gamma\left(m + 1, -3 \, b x\right) \sinh\left(m \log\left(-3 \, b\right) - 3 \, a\right) - 3 \, \Gamma\left(m + 1, -5 \, b x\right) \sinh\left(m \log\left(-5 \, b\right) - 5 \, a\right) + 30 \, \Gamma\left(m + 1, b x\right) \sinh\left(m \log\left(b\right) + a\right)}{480 \, b}"," ",0,"1/480*(3*cosh(m*log(5*b) + 5*a)*gamma(m + 1, 5*b*x) - 5*cosh(m*log(3*b) + 3*a)*gamma(m + 1, 3*b*x) - 30*cosh(m*log(b) + a)*gamma(m + 1, b*x) - 30*cosh(m*log(-b) - a)*gamma(m + 1, -b*x) - 5*cosh(m*log(-3*b) - 3*a)*gamma(m + 1, -3*b*x) + 3*cosh(m*log(-5*b) - 5*a)*gamma(m + 1, -5*b*x) - 3*gamma(m + 1, 5*b*x)*sinh(m*log(5*b) + 5*a) + 5*gamma(m + 1, 3*b*x)*sinh(m*log(3*b) + 3*a) + 30*gamma(m + 1, -b*x)*sinh(m*log(-b) - a) + 5*gamma(m + 1, -3*b*x)*sinh(m*log(-3*b) - 3*a) - 3*gamma(m + 1, -5*b*x)*sinh(m*log(-5*b) - 5*a) + 30*gamma(m + 1, b*x)*sinh(m*log(b) + a))/b","A",0
317,1,274,0,1.549244," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{135 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{5} + 675 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 81 \, {\left(25 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{5} - 1875 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3} + 5 \, {\left(1125 \, b^{2} x^{2} - 162 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 250\right)} \sinh\left(b x + a\right)^{3} + 225 \, {\left(6 \, {\left(25 \, b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{3} - 25 \, {\left(3 \, b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 33750 \, {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right) - 15 \, {\left(27 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} - 6750 \, b^{2} x^{2} - 125 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 13500\right)} \sinh\left(b x + a\right)}{270000 \, b^{4}}"," ",0,"1/270000*(135*(25*b^3*x^3 + 6*b*x)*cosh(b*x + a)^5 + 675*(25*b^3*x^3 + 6*b*x)*cosh(b*x + a)*sinh(b*x + a)^4 - 81*(25*b^2*x^2 + 2)*sinh(b*x + a)^5 - 1875*(3*b^3*x^3 + 2*b*x)*cosh(b*x + a)^3 + 5*(1125*b^2*x^2 - 162*(25*b^2*x^2 + 2)*cosh(b*x + a)^2 + 250)*sinh(b*x + a)^3 + 225*(6*(25*b^3*x^3 + 6*b*x)*cosh(b*x + a)^3 - 25*(3*b^3*x^3 + 2*b*x)*cosh(b*x + a))*sinh(b*x + a)^2 - 33750*(b^3*x^3 + 6*b*x)*cosh(b*x + a) - 15*(27*(25*b^2*x^2 + 2)*cosh(b*x + a)^4 - 6750*b^2*x^2 - 125*(9*b^2*x^2 + 2)*cosh(b*x + a)^2 - 13500)*sinh(b*x + a))/b^4","A",0
318,1,214,0,0.661833," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{270 \, b x \sinh\left(b x + a\right)^{5} - 27 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{5} - 135 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 125 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} + 150 \, {\left(18 \, b x \cosh\left(b x + a\right)^{2} - 5 \, b x\right)} \sinh\left(b x + a\right)^{3} - 15 \, {\left(18 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - 25 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 6750 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) + 450 \, {\left(3 \, b x \cosh\left(b x + a\right)^{4} - 5 \, b x \cosh\left(b x + a\right)^{2} - 30 \, b x\right)} \sinh\left(b x + a\right)}{54000 \, b^{3}}"," ",0,"-1/54000*(270*b*x*sinh(b*x + a)^5 - 27*(25*b^2*x^2 + 2)*cosh(b*x + a)^5 - 135*(25*b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^4 + 125*(9*b^2*x^2 + 2)*cosh(b*x + a)^3 + 150*(18*b*x*cosh(b*x + a)^2 - 5*b*x)*sinh(b*x + a)^3 - 15*(18*(25*b^2*x^2 + 2)*cosh(b*x + a)^3 - 25*(9*b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a)^2 + 6750*(b^2*x^2 + 2)*cosh(b*x + a) + 450*(3*b*x*cosh(b*x + a)^4 - 5*b*x*cosh(b*x + a)^2 - 30*b*x)*sinh(b*x + a))/b^3","A",0
319,1,153,0,0.634133," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{45 \, b x \cosh\left(b x + a\right)^{5} + 225 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 75 \, b x \cosh\left(b x + a\right)^{3} - 9 \, \sinh\left(b x + a\right)^{5} - 5 \, {\left(18 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{3} - 450 \, b x \cosh\left(b x + a\right) + 225 \, {\left(2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 15 \, {\left(3 \, \cosh\left(b x + a\right)^{4} - 5 \, \cosh\left(b x + a\right)^{2} - 30\right)} \sinh\left(b x + a\right)}{3600 \, b^{2}}"," ",0,"1/3600*(45*b*x*cosh(b*x + a)^5 + 225*b*x*cosh(b*x + a)*sinh(b*x + a)^4 - 75*b*x*cosh(b*x + a)^3 - 9*sinh(b*x + a)^5 - 5*(18*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^3 - 450*b*x*cosh(b*x + a) + 225*(2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^2 - 15*(3*cosh(b*x + a)^4 - 5*cosh(b*x + a)^2 - 30)*sinh(b*x + a))/b^2","A",0
320,1,79,0,0.854522," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3,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} - 5 \, \cosh\left(b x + a\right)^{3} + 15 \, {\left(2 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 30 \, \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 - 5*cosh(b*x + a)^3 + 15*(2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^2 - 30*cosh(b*x + a))/b","B",0
321,1,103,0,0.560139," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","\frac{1}{32} \, {\left({\rm Ei}\left(5 \, b x\right) - {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) - \frac{1}{32} \, {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - \frac{1}{16} \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + \frac{1}{32} \, {\left({\rm Ei}\left(5 \, b x\right) + {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) - \frac{1}{32} \, {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - \frac{1}{16} \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)"," ",0,"1/32*(Ei(5*b*x) - Ei(-5*b*x))*cosh(5*a) - 1/32*(Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) - 1/16*(Ei(b*x) - Ei(-b*x))*cosh(a) + 1/32*(Ei(5*b*x) + Ei(-5*b*x))*sinh(5*a) - 1/32*(Ei(3*b*x) + Ei(-3*b*x))*sinh(3*a) - 1/16*(Ei(b*x) + Ei(-b*x))*sinh(a)","A",0
322,1,203,0,1.014406," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(10 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 5 \, {\left(b x {\rm Ei}\left(5 \, b x\right) + b x {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) + 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) + b x {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b x {\rm Ei}\left(b x\right) + b x {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right) - 5 \, {\left(b x {\rm Ei}\left(5 \, b x\right) - b x {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) + 3 \, {\left(b x {\rm Ei}\left(3 \, b x\right) - b x {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b x {\rm Ei}\left(b x\right) - b x {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{32 \, x}"," ",0,"-1/32*(2*sinh(b*x + a)^5 + 2*(10*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 5*(b*x*Ei(5*b*x) + b*x*Ei(-5*b*x))*cosh(5*a) + 3*(b*x*Ei(3*b*x) + b*x*Ei(-3*b*x))*cosh(3*a) + 2*(b*x*Ei(b*x) + b*x*Ei(-b*x))*cosh(a) + 2*(5*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 - 2)*sinh(b*x + a) - 5*(b*x*Ei(5*b*x) - b*x*Ei(-5*b*x))*sinh(5*a) + 3*(b*x*Ei(3*b*x) - b*x*Ei(-3*b*x))*sinh(3*a) + 2*(b*x*Ei(b*x) - b*x*Ei(-b*x))*sinh(a))/x","A",0
323,1,336,0,0.823466," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^3,x, algorithm=""fricas"")","-\frac{10 \, b x \cosh\left(b x + a\right)^{5} + 50 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{3} + 2 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(10 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 4 \, b x \cosh\left(b x + a\right) + 2 \, {\left(50 \, b x \cosh\left(b x + a\right)^{3} - 9 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 25 \, {\left(b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) + 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) - b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right) - 25 \, {\left(b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) + 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b^{2} x^{2} {\rm Ei}\left(b x\right) + b^{2} x^{2} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{64 \, x^{2}}"," ",0,"-1/64*(10*b*x*cosh(b*x + a)^5 + 50*b*x*cosh(b*x + a)*sinh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^3 + 2*sinh(b*x + a)^5 + 2*(10*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 4*b*x*cosh(b*x + a) + 2*(50*b*x*cosh(b*x + a)^3 - 9*b*x*cosh(b*x + a))*sinh(b*x + a)^2 - 25*(b^2*x^2*Ei(5*b*x) - b^2*x^2*Ei(-5*b*x))*cosh(5*a) + 9*(b^2*x^2*Ei(3*b*x) - b^2*x^2*Ei(-3*b*x))*cosh(3*a) + 2*(b^2*x^2*Ei(b*x) - b^2*x^2*Ei(-b*x))*cosh(a) + 2*(5*cosh(b*x + a)^4 - 3*cosh(b*x + a)^2 - 2)*sinh(b*x + a) - 25*(b^2*x^2*Ei(5*b*x) + b^2*x^2*Ei(-5*b*x))*sinh(5*a) + 9*(b^2*x^2*Ei(3*b*x) + b^2*x^2*Ei(-3*b*x))*sinh(3*a) + 2*(b^2*x^2*Ei(b*x) + b^2*x^2*Ei(-b*x))*sinh(a))/x^2","B",0
324,1,392,0,0.555608," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^4,x, algorithm=""fricas"")","-\frac{10 \, b x \cosh\left(b x + a\right)^{5} + 50 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(25 \, b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{5} - 6 \, b x \cosh\left(b x + a\right)^{3} - 2 \, {\left(9 \, b^{2} x^{2} - 10 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{3} - 4 \, b x \cosh\left(b x + a\right) + 2 \, {\left(50 \, b x \cosh\left(b x + a\right)^{3} - 9 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 125 \, {\left(b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right)\right)} \cosh\left(5 \, a\right) + 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) + b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) + 2 \, {\left(5 \, {\left(25 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} - 3 \, {\left(9 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 4\right)} \sinh\left(b x + a\right) - 125 \, {\left(b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right)\right)} \sinh\left(5 \, a\right) + 27 \, {\left(b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 2 \, {\left(b^{3} x^{3} {\rm Ei}\left(b x\right) - b^{3} x^{3} {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)}{192 \, x^{3}}"," ",0,"-1/192*(10*b*x*cosh(b*x + a)^5 + 50*b*x*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(25*b^2*x^2 + 2)*sinh(b*x + a)^5 - 6*b*x*cosh(b*x + a)^3 - 2*(9*b^2*x^2 - 10*(25*b^2*x^2 + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^3 - 4*b*x*cosh(b*x + a) + 2*(50*b*x*cosh(b*x + a)^3 - 9*b*x*cosh(b*x + a))*sinh(b*x + a)^2 - 125*(b^3*x^3*Ei(5*b*x) + b^3*x^3*Ei(-5*b*x))*cosh(5*a) + 27*(b^3*x^3*Ei(3*b*x) + b^3*x^3*Ei(-3*b*x))*cosh(3*a) + 2*(b^3*x^3*Ei(b*x) + b^3*x^3*Ei(-b*x))*cosh(a) + 2*(5*(25*b^2*x^2 + 2)*cosh(b*x + a)^4 - 2*b^2*x^2 - 3*(9*b^2*x^2 + 2)*cosh(b*x + a)^2 - 4)*sinh(b*x + a) - 125*(b^3*x^3*Ei(5*b*x) - b^3*x^3*Ei(-5*b*x))*sinh(5*a) + 27*(b^3*x^3*Ei(3*b*x) - b^3*x^3*Ei(-3*b*x))*sinh(3*a) + 2*(b^3*x^3*Ei(b*x) - b^3*x^3*Ei(-b*x))*sinh(a))/x^3","A",0
325,1,172,0,0.648830," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(m \log\left(6 \, b\right) + 6 \, a\right) \Gamma\left(m + 1, 6 \, b x\right) - 9 \, \cosh\left(m \log\left(2 \, b\right) + 2 \, a\right) \Gamma\left(m + 1, 2 \, b x\right) - 9 \, \cosh\left(m \log\left(-2 \, b\right) - 2 \, a\right) \Gamma\left(m + 1, -2 \, b x\right) + \cosh\left(m \log\left(-6 \, b\right) - 6 \, a\right) \Gamma\left(m + 1, -6 \, b x\right) - \Gamma\left(m + 1, 6 \, b x\right) \sinh\left(m \log\left(6 \, b\right) + 6 \, a\right) + 9 \, \Gamma\left(m + 1, 2 \, b x\right) \sinh\left(m \log\left(2 \, b\right) + 2 \, a\right) + 9 \, \Gamma\left(m + 1, -2 \, b x\right) \sinh\left(m \log\left(-2 \, b\right) - 2 \, a\right) - \Gamma\left(m + 1, -6 \, b x\right) \sinh\left(m \log\left(-6 \, b\right) - 6 \, a\right)}{384 \, b}"," ",0,"1/384*(cosh(m*log(6*b) + 6*a)*gamma(m + 1, 6*b*x) - 9*cosh(m*log(2*b) + 2*a)*gamma(m + 1, 2*b*x) - 9*cosh(m*log(-2*b) - 2*a)*gamma(m + 1, -2*b*x) + cosh(m*log(-6*b) - 6*a)*gamma(m + 1, -6*b*x) - gamma(m + 1, 6*b*x)*sinh(m*log(6*b) + 6*a) + 9*gamma(m + 1, 2*b*x)*sinh(m*log(2*b) + 2*a) + 9*gamma(m + 1, -2*b*x)*sinh(m*log(-2*b) - 2*a) - gamma(m + 1, -6*b*x)*sinh(m*log(-6*b) - 6*a))/b","A",0
326,1,248,0,0.806773," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, {\left(6 \, b^{3} x^{3} + b x\right)} \cosh\left(b x + a\right)^{6} - 10 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 45 \, {\left(6 \, b^{3} x^{3} + b x\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - 3 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 \, {\left(6 \, b^{3} x^{3} + b x\right)} \sinh\left(b x + a\right)^{6} - 81 \, {\left(2 \, b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 9 \, {\left(18 \, b^{3} x^{3} - 5 \, {\left(6 \, b^{3} x^{3} + b x\right)} \cosh\left(b x + a\right)^{4} + 27 \, b x\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left({\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{5} - 81 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{3456 \, b^{4}}"," ",0,"1/3456*(3*(6*b^3*x^3 + b*x)*cosh(b*x + a)^6 - 10*(18*b^2*x^2 + 1)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 45*(6*b^3*x^3 + b*x)*cosh(b*x + a)^2*sinh(b*x + a)^4 - 3*(18*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^5 + 3*(6*b^3*x^3 + b*x)*sinh(b*x + a)^6 - 81*(2*b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 - 9*(18*b^3*x^3 - 5*(6*b^3*x^3 + b*x)*cosh(b*x + a)^4 + 27*b*x)*sinh(b*x + a)^2 - 3*((18*b^2*x^2 + 1)*cosh(b*x + a)^5 - 81*(2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a))/b^4","A",0
327,1,202,0,0.503645," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{120 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 36 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{6} - 15 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(18 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{6} + 81 \, {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - 3 \, {\left(5 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} - 54 \, b^{2} x^{2} - 27\right)} \sinh\left(b x + a\right)^{2} + 36 \, {\left(b x \cosh\left(b x + a\right)^{5} - 9 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{3456 \, b^{3}}"," ",0,"-1/3456*(120*b*x*cosh(b*x + a)^3*sinh(b*x + a)^3 + 36*b*x*cosh(b*x + a)*sinh(b*x + a)^5 - (18*b^2*x^2 + 1)*cosh(b*x + a)^6 - 15*(18*b^2*x^2 + 1)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (18*b^2*x^2 + 1)*sinh(b*x + a)^6 + 81*(2*b^2*x^2 + 1)*cosh(b*x + a)^2 - 3*(5*(18*b^2*x^2 + 1)*cosh(b*x + a)^4 - 54*b^2*x^2 - 27)*sinh(b*x + a)^2 + 36*(b*x*cosh(b*x + a)^5 - 9*b*x*cosh(b*x + a))*sinh(b*x + a))/b^3","B",0
328,1,148,0,0.651768," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, b x \cosh\left(b x + a\right)^{6} + 45 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 3 \, b x \sinh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 27 \, b x \cosh\left(b x + a\right)^{2} + 9 \, {\left(5 \, b x \cosh\left(b x + a\right)^{4} - 3 \, b x\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{5} - 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{576 \, b^{2}}"," ",0,"1/576*(3*b*x*cosh(b*x + a)^6 + 45*b*x*cosh(b*x + a)^2*sinh(b*x + a)^4 + 3*b*x*sinh(b*x + a)^6 - 10*cosh(b*x + a)^3*sinh(b*x + a)^3 - 3*cosh(b*x + a)*sinh(b*x + a)^5 - 27*b*x*cosh(b*x + a)^2 + 9*(5*b*x*cosh(b*x + a)^4 - 3*b*x)*sinh(b*x + a)^2 - 3*(cosh(b*x + a)^5 - 9*cosh(b*x + a))*sinh(b*x + a))/b^2","B",0
329,1,72,0,0.666342," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{6} + 15 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 3\right)} \sinh\left(b x + a\right)^{2} - 9 \, \cosh\left(b x + a\right)^{2}}{192 \, b}"," ",0,"1/192*(cosh(b*x + a)^6 + 15*cosh(b*x + a)^2*sinh(b*x + a)^4 + sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^4 - 3)*sinh(b*x + a)^2 - 9*cosh(b*x + a)^2)/b","B",0
330,1,73,0,0.678072," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","\frac{1}{64} \, {\left({\rm Ei}\left(6 \, b x\right) - {\rm Ei}\left(-6 \, b x\right)\right)} \cosh\left(6 \, a\right) - \frac{3}{64} \, {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + \frac{1}{64} \, {\left({\rm Ei}\left(6 \, b x\right) + {\rm Ei}\left(-6 \, b x\right)\right)} \sinh\left(6 \, a\right) - \frac{3}{64} \, {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)"," ",0,"1/64*(Ei(6*b*x) - Ei(-6*b*x))*cosh(6*a) - 3/64*(Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) + 1/64*(Ei(6*b*x) + Ei(-6*b*x))*sinh(6*a) - 3/64*(Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a)","A",0
331,1,159,0,0.504669," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","-\frac{20 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 3 \, {\left(b x {\rm Ei}\left(6 \, b x\right) + b x {\rm Ei}\left(-6 \, b x\right)\right)} \cosh\left(6 \, a\right) + 3 \, {\left(b x {\rm Ei}\left(2 \, b x\right) + b x {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 6 \, {\left(\cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left(b x {\rm Ei}\left(6 \, b x\right) - b x {\rm Ei}\left(-6 \, b x\right)\right)} \sinh\left(6 \, a\right) + 3 \, {\left(b x {\rm Ei}\left(2 \, b x\right) - b x {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{32 \, x}"," ",0,"-1/32*(20*cosh(b*x + a)^3*sinh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^5 - 3*(b*x*Ei(6*b*x) + b*x*Ei(-6*b*x))*cosh(6*a) + 3*(b*x*Ei(2*b*x) + b*x*Ei(-2*b*x))*cosh(2*a) + 6*(cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a) - 3*(b*x*Ei(6*b*x) - b*x*Ei(-6*b*x))*sinh(6*a) + 3*(b*x*Ei(2*b*x) - b*x*Ei(-2*b*x))*sinh(2*a))/x","B",0
332,1,274,0,1.087499," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^3,x, algorithm=""fricas"")","-\frac{3 \, b x \cosh\left(b x + a\right)^{6} + 45 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 3 \, b x \sinh\left(b x + a\right)^{6} + 10 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 3 \, b x \cosh\left(b x + a\right)^{2} + 3 \, {\left(15 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{2} - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(6 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-6 \, b x\right)\right)} \cosh\left(6 \, a\right) + 3 \, {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) - b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 3 \, {\left(\cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 9 \, {\left(b^{2} x^{2} {\rm Ei}\left(6 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-6 \, b x\right)\right)} \sinh\left(6 \, a\right) + 3 \, {\left(b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) + b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{32 \, x^{2}}"," ",0,"-1/32*(3*b*x*cosh(b*x + a)^6 + 45*b*x*cosh(b*x + a)^2*sinh(b*x + a)^4 + 3*b*x*sinh(b*x + a)^6 + 10*cosh(b*x + a)^3*sinh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^5 - 3*b*x*cosh(b*x + a)^2 + 3*(15*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^2 - 9*(b^2*x^2*Ei(6*b*x) - b^2*x^2*Ei(-6*b*x))*cosh(6*a) + 3*(b^2*x^2*Ei(2*b*x) - b^2*x^2*Ei(-2*b*x))*cosh(2*a) + 3*(cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a) - 9*(b^2*x^2*Ei(6*b*x) + b^2*x^2*Ei(-6*b*x))*sinh(6*a) + 3*(b^2*x^2*Ei(2*b*x) + b^2*x^2*Ei(-2*b*x))*sinh(2*a))/x^2","B",0
333,1,315,0,0.777633," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^4,x, algorithm=""fricas"")","-\frac{3 \, b x \cosh\left(b x + a\right)^{6} + 45 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 3 \, b x \sinh\left(b x + a\right)^{6} + 20 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 6 \, {\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 3 \, b x \cosh\left(b x + a\right)^{2} + 3 \, {\left(15 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{2} - 54 \, {\left(b^{3} x^{3} {\rm Ei}\left(6 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-6 \, b x\right)\right)} \cosh\left(6 \, a\right) + 6 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) + b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) + 6 \, {\left({\left(18 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 54 \, {\left(b^{3} x^{3} {\rm Ei}\left(6 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-6 \, b x\right)\right)} \sinh\left(6 \, a\right) + 6 \, {\left(b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) - b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)}{96 \, x^{3}}"," ",0,"-1/96*(3*b*x*cosh(b*x + a)^6 + 45*b*x*cosh(b*x + a)^2*sinh(b*x + a)^4 + 3*b*x*sinh(b*x + a)^6 + 20*(18*b^2*x^2 + 1)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 6*(18*b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^5 - 3*b*x*cosh(b*x + a)^2 + 3*(15*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^2 - 54*(b^3*x^3*Ei(6*b*x) + b^3*x^3*Ei(-6*b*x))*cosh(6*a) + 6*(b^3*x^3*Ei(2*b*x) + b^3*x^3*Ei(-2*b*x))*cosh(2*a) + 6*((18*b^2*x^2 + 1)*cosh(b*x + a)^5 - (2*b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) - 54*(b^3*x^3*Ei(6*b*x) - b^3*x^3*Ei(-6*b*x))*sinh(6*a) + 6*(b^3*x^3*Ei(2*b*x) - b^3*x^3*Ei(-2*b*x))*sinh(2*a))/x^3","B",0
334,0,0,0,0.931409," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right), x\right)"," ",0,"integral(x^m*sech(b*x + a)*sinh(b*x + a), x)","F",0
335,1,257,0,0.636040," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{b^{4} x^{4} - 12 \, b^{2} x^{2} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 12 \, b^{2} x^{2} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 4 \, a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 24 \, b x {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 24 \, b x {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 24 \, {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 24 \, {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{4 \, b^{4}}"," ",0,"-1/4*(b^4*x^4 - 12*b^2*x^2*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 12*b^2*x^2*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*a^3*log(cosh(b*x + a) + sinh(b*x + a) + I) + 4*a^3*log(cosh(b*x + a) + sinh(b*x + a) - I) + 24*b*x*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 24*b*x*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 4*(b^3*x^3 + a^3)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 4*(b^3*x^3 + a^3)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 24*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 24*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)))/b^4","C",0
336,1,207,0,1.805280," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{b^{3} x^{3} - 6 \, b x {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, b x {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 3 \, a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - 3 \, a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 6 \, {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{3 \, b^{3}}"," ",0,"-1/3*(b^3*x^3 - 6*b*x*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*b*x*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 3*a^2*log(cosh(b*x + a) + sinh(b*x + a) + I) - 3*a^2*log(cosh(b*x + a) + sinh(b*x + a) - I) - 3*(b^2*x^2 - a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 3*(b^2*x^2 - a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 6*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)))/b^3","C",0
337,1,141,0,0.687643," ","integrate(x*sech(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} + 2 \, a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 2 \, a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 2 \, {\left(b x + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 2 \, {\left(b x + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 2 \, {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 2 \, {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{2 \, b^{2}}"," ",0,"-1/2*(b^2*x^2 + 2*a*log(cosh(b*x + a) + sinh(b*x + a) + I) + 2*a*log(cosh(b*x + a) + sinh(b*x + a) - I) - 2*(b*x + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 2*(b*x + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 2*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 2*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)))/b^2","C",0
338,1,37,0,0.657673," ","integrate(sech(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{b x - \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b}"," ",0,"-(b*x - log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
339,0,0,0,0.488022," ","integrate(sech(b*x+a)*sinh(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)}{x}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)/x, x)","F",0
340,0,0,0,0.753303," ","integrate(sech(b*x+a)*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)/x^2, x)","F",0
341,0,0,0,0.666610," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right), x\right)"," ",0,"integral(x^m*sech(b*x + a)^2*sinh(b*x + a), x)","F",0
342,1,670,0,0.774439," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b^{3} x^{3} \cosh\left(b x + a\right) + 2 \, b^{3} x^{3} \sinh\left(b x + a\right) - {\left(6 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, b x \sinh\left(b x + a\right)^{2} + 6 i \, b x\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-6 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, b x \sinh\left(b x + a\right)^{2} - 6 i \, b x\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(3 i \, a^{2} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 3 i \, a^{2} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(-3 i \, a^{2} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 3 i \, a^{2} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(-3 i \, b^{2} x^{2} + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(3 i \, b^{2} x^{2} + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(-6 i \, \cosh\left(b x + a\right)^{2} - 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, \sinh\left(b x + a\right)^{2} - 6 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(6 i \, \cosh\left(b x + a\right)^{2} + 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, \sinh\left(b x + a\right)^{2} + 6 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} + b^{4}}"," ",0,"-(2*b^3*x^3*cosh(b*x + a) + 2*b^3*x^3*sinh(b*x + a) - (6*I*b*x*cosh(b*x + a)^2 + 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) + 6*I*b*x*sinh(b*x + a)^2 + 6*I*b*x)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (-6*I*b*x*cosh(b*x + a)^2 - 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) - 6*I*b*x*sinh(b*x + a)^2 - 6*I*b*x)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (3*I*a^2*cosh(b*x + a)^2 + 6*I*a^2*cosh(b*x + a)*sinh(b*x + a) + 3*I*a^2*sinh(b*x + a)^2 + 3*I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (-3*I*a^2*cosh(b*x + a)^2 - 6*I*a^2*cosh(b*x + a)*sinh(b*x + a) - 3*I*a^2*sinh(b*x + a)^2 - 3*I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (-3*I*b^2*x^2 + (-3*I*b^2*x^2 + 3*I*a^2)*cosh(b*x + a)^2 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (-3*I*b^2*x^2 + 3*I*a^2)*sinh(b*x + a)^2 + 3*I*a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (3*I*b^2*x^2 + (3*I*b^2*x^2 - 3*I*a^2)*cosh(b*x + a)^2 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (3*I*b^2*x^2 - 3*I*a^2)*sinh(b*x + a)^2 - 3*I*a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (-6*I*cosh(b*x + a)^2 - 12*I*cosh(b*x + a)*sinh(b*x + a) - 6*I*sinh(b*x + a)^2 - 6*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (6*I*cosh(b*x + a)^2 + 12*I*cosh(b*x + a)*sinh(b*x + a) + 6*I*sinh(b*x + a)^2 + 6*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 + b^4)","C",0
343,1,474,0,0.612103," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{2} \cosh\left(b x + a\right) + 2 \, b^{2} x^{2} \sinh\left(b x + a\right) - {\left(2 i \, \cosh\left(b x + a\right)^{2} + 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, \sinh\left(b x + a\right)^{2} + 2 i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-2 i \, \cosh\left(b x + a\right)^{2} - 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, \sinh\left(b x + a\right)^{2} - 2 i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(-2 i \, a \cosh\left(b x + a\right)^{2} - 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, a \sinh\left(b x + a\right)^{2} - 2 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(2 i \, a \cosh\left(b x + a\right)^{2} + 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, a \sinh\left(b x + a\right)^{2} + 2 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(-2 i \, b x - 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-2 i \, b x - 2 i \, a\right)} \sinh\left(b x + a\right)^{2} - 2 i \, b x - 2 i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(2 i \, b x + 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(2 i \, b x + 2 i \, a\right)} \sinh\left(b x + a\right)^{2} + 2 i \, b x + 2 i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right)}{b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} + b^{3}}"," ",0,"-(2*b^2*x^2*cosh(b*x + a) + 2*b^2*x^2*sinh(b*x + a) - (2*I*cosh(b*x + a)^2 + 4*I*cosh(b*x + a)*sinh(b*x + a) + 2*I*sinh(b*x + a)^2 + 2*I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (-2*I*cosh(b*x + a)^2 - 4*I*cosh(b*x + a)*sinh(b*x + a) - 2*I*sinh(b*x + a)^2 - 2*I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (-2*I*a*cosh(b*x + a)^2 - 4*I*a*cosh(b*x + a)*sinh(b*x + a) - 2*I*a*sinh(b*x + a)^2 - 2*I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (2*I*a*cosh(b*x + a)^2 + 4*I*a*cosh(b*x + a)*sinh(b*x + a) + 2*I*a*sinh(b*x + a)^2 + 2*I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((-2*I*b*x - 2*I*a)*cosh(b*x + a)^2 + (-4*I*b*x - 4*I*a)*cosh(b*x + a)*sinh(b*x + a) + (-2*I*b*x - 2*I*a)*sinh(b*x + a)^2 - 2*I*b*x - 2*I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((2*I*b*x + 2*I*a)*cosh(b*x + a)^2 + (4*I*b*x + 4*I*a)*cosh(b*x + a)*sinh(b*x + a) + (2*I*b*x + 2*I*a)*sinh(b*x + a)^2 + 2*I*b*x + 2*I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 + b^3)","B",0
344,1,116,0,0.484953," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)\right)}}{b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} + b^{2}}"," ",0,"-2*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a) - (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 + b^2)","B",0
345,1,54,0,0.380738," ","integrate(sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*(cosh(b*x + a) + 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
346,0,0,0,0.477945," ","integrate(sech(b*x+a)^2*sinh(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)}{x}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)/x, x)","F",0
347,0,0,0,0.426718," ","integrate(sech(b*x+a)^2*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)/x^2, x)","F",0
348,0,0,0,0.485113," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right), x\right)"," ",0,"integral(x^m*sech(b*x + a)^3*sinh(b*x + a), x)","F",0
349,1,1113,0,0.930220," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} - 18 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, a^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 3 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 3 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 3 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} + 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"(3*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 12*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(b^2*x^2 - a^2)*sinh(b*x + a)^4 - (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 - (2*b^3*x^3 - 3*b^2*x^2 - 18*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 6*a^2)*sinh(b*x + a)^2 - 3*a^2 - 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 3*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 3*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 3*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 3*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 2*(6*(b^2*x^2 - a^2)*cosh(b*x + a)^3 - (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 + 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 + b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 + b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
350,1,378,0,0.886527," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(b x + a\right)^{4} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, b x \sinh\left(b x + a\right)^{4} - 2 \, {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(2 \, b x \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} + 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"(2*b*x*cosh(b*x + a)^4 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + 2*b*x*sinh(b*x + a)^4 - 2*(b^2*x^2 - b*x)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(2*b*x*cosh(b*x + a)^3 - (b^2*x^2 - b*x)*cosh(b*x + a))*sinh(b*x + a))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 + 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 + b^3*cosh(b*x + a))*sinh(b*x + a))","B",0
351,1,105,0,0.432349," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x \sinh\left(b x + a\right) + {\left(b x + 1\right)} \cosh\left(b x + a\right)\right)}}{b^{2} \cosh\left(b x + a\right)^{3} + 3 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{2} \sinh\left(b x + a\right)^{3} + 3 \, b^{2} \cosh\left(b x + a\right) + {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(b*x*sinh(b*x + a) + (b*x + 1)*cosh(b*x + a))/(b^2*cosh(b*x + a)^3 + 3*b^2*cosh(b*x + a)*sinh(b*x + a)^2 + b^2*sinh(b*x + a)^3 + 3*b^2*cosh(b*x + a) + (3*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a))","B",0
352,1,84,0,0.641154," ","integrate(sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \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} + 3 \, b \cosh\left(b x + a\right) + {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(cosh(b*x + a) + 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 + 3*b*cosh(b*x + a) + (3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a))","B",0
353,0,0,0,0.546645," ","integrate(sech(b*x+a)^3*sinh(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)}{x}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)/x, x)","F",0
354,0,0,0,0.631910," ","integrate(sech(b*x+a)^3*sinh(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)/x^2, x)","F",0
355,0,0,0,0.553229," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*sech(b*x + a)*sinh(b*x + a)^2, x)","F",0
356,1,609,0,0.517518," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{3} x^{3} + 3 \, b^{2} x^{2} - {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x - {\left(-6 i \, b^{2} x^{2} \cosh\left(b x + a\right) - 6 i \, b^{2} x^{2} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(6 i \, b^{2} x^{2} \cosh\left(b x + a\right) + 6 i \, b^{2} x^{2} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(2 i \, a^{3} \cosh\left(b x + a\right) + 2 i \, a^{3} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(-2 i \, a^{3} \cosh\left(b x + a\right) - 2 i \, a^{3} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(2 i \, b^{3} x^{3} + 2 i \, a^{3}\right)} \cosh\left(b x + a\right) + {\left(2 i \, b^{3} x^{3} + 2 i \, a^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(-2 i \, b^{3} x^{3} - 2 i \, a^{3}\right)} \cosh\left(b x + a\right) + {\left(-2 i \, b^{3} x^{3} - 2 i \, a^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(-12 i \, \cosh\left(b x + a\right) - 12 i \, \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(12 i \, \cosh\left(b x + a\right) + 12 i \, \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(12 i \, b x \cosh\left(b x + a\right) + 12 i \, b x \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-12 i \, b x \cosh\left(b x + a\right) - 12 i \, b x \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6}{2 \, {\left(b^{4} \cosh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(b^3*x^3 + 3*b^2*x^2 - (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)*sinh(b*x + a) - (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*sinh(b*x + a)^2 + 6*b*x - (-6*I*b^2*x^2*cosh(b*x + a) - 6*I*b^2*x^2*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (6*I*b^2*x^2*cosh(b*x + a) + 6*I*b^2*x^2*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (2*I*a^3*cosh(b*x + a) + 2*I*a^3*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) - (-2*I*a^3*cosh(b*x + a) - 2*I*a^3*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((2*I*b^3*x^3 + 2*I*a^3)*cosh(b*x + a) + (2*I*b^3*x^3 + 2*I*a^3)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((-2*I*b^3*x^3 - 2*I*a^3)*cosh(b*x + a) + (-2*I*b^3*x^3 - 2*I*a^3)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (-12*I*cosh(b*x + a) - 12*I*sinh(b*x + a))*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - (12*I*cosh(b*x + a) + 12*I*sinh(b*x + a))*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) - (12*I*b*x*cosh(b*x + a) + 12*I*b*x*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-12*I*b*x*cosh(b*x + a) - 12*I*b*x*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6)/(b^4*cosh(b*x + a) + b^4*sinh(b*x + a))","C",0
357,1,477,0,0.511710," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{2} x^{2} - {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x - {\left(-4 i \, b x \cosh\left(b x + a\right) - 4 i \, b x \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(4 i \, b x \cosh\left(b x + a\right) + 4 i \, b x \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(-2 i \, a^{2} \cosh\left(b x + a\right) - 2 i \, a^{2} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(2 i \, a^{2} \cosh\left(b x + a\right) + 2 i \, a^{2} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(2 i \, b^{2} x^{2} - 2 i \, a^{2}\right)} \cosh\left(b x + a\right) + {\left(2 i \, b^{2} x^{2} - 2 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(-2 i \, b^{2} x^{2} + 2 i \, a^{2}\right)} \cosh\left(b x + a\right) + {\left(-2 i \, b^{2} x^{2} + 2 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(4 i \, \cosh\left(b x + a\right) + 4 i \, \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-4 i \, \cosh\left(b x + a\right) - 4 i \, \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2}{2 \, {\left(b^{3} \cosh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(b^2*x^2 - (b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2 - 2*b*x + 2)*sinh(b*x + a)^2 + 2*b*x - (-4*I*b*x*cosh(b*x + a) - 4*I*b*x*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (4*I*b*x*cosh(b*x + a) + 4*I*b*x*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (-2*I*a^2*cosh(b*x + a) - 2*I*a^2*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) - (2*I*a^2*cosh(b*x + a) + 2*I*a^2*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((2*I*b^2*x^2 - 2*I*a^2)*cosh(b*x + a) + (2*I*b^2*x^2 - 2*I*a^2)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((-2*I*b^2*x^2 + 2*I*a^2)*cosh(b*x + a) + (-2*I*b^2*x^2 + 2*I*a^2)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (4*I*cosh(b*x + a) + 4*I*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-4*I*cosh(b*x + a) - 4*I*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 2)/(b^3*cosh(b*x + a) + b^3*sinh(b*x + a))","C",0
358,1,322,0,0.683933," ","integrate(x*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x - 1\right)} \sinh\left(b x + a\right)^{2} - b x + {\left(-2 i \, \cosh\left(b x + a\right) - 2 i \, \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(2 i \, \cosh\left(b x + a\right) + 2 i \, \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(2 i \, a \cosh\left(b x + a\right) + 2 i \, a \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-2 i \, a \cosh\left(b x + a\right) - 2 i \, a \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left({\left(2 i \, b x + 2 i \, a\right)} \cosh\left(b x + a\right) + {\left(2 i \, b x + 2 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(-2 i \, b x - 2 i \, a\right)} \cosh\left(b x + a\right) + {\left(-2 i \, b x - 2 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 1}{2 \, {\left(b^{2} \cosh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b*x - 1)*cosh(b*x + a)^2 + 2*(b*x - 1)*cosh(b*x + a)*sinh(b*x + a) + (b*x - 1)*sinh(b*x + a)^2 - b*x + (-2*I*cosh(b*x + a) - 2*I*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (2*I*cosh(b*x + a) + 2*I*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (2*I*a*cosh(b*x + a) + 2*I*a*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-2*I*a*cosh(b*x + a) - 2*I*a*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((2*I*b*x + 2*I*a)*cosh(b*x + a) + (2*I*b*x + 2*I*a)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((-2*I*b*x - 2*I*a)*cosh(b*x + a) + (-2*I*b*x - 2*I*a)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 1)/(b^2*cosh(b*x + a) + b^2*sinh(b*x + a))","B",0
359,1,86,0,0.594413," ","integrate(sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - \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}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(4*(cosh(b*x + a) + sinh(b*x + a))*arctan(cosh(b*x + a) + sinh(b*x + a)) - cosh(b*x + a)^2 - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2 + 1)/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
360,0,0,0,0.620579," ","integrate(sech(b*x+a)*sinh(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)^2/x, x)","F",0
361,0,0,0,0.823369," ","integrate(sech(b*x+a)*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)^2/x^2, x)","F",0
362,0,0,0,0.537149," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*sech(b*x + a)^2*sinh(b*x + a)^2, x)","F",0
363,1,721,0,0.711445," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{4} x^{4} - 8 \, a^{3} + {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \sinh\left(b x + a\right)^{2} + 24 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 24 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 12 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} + a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 12 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} + a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 12 \, {\left(b^{2} x^{2} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + 12 \, {\left(b^{2} x^{2} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 24 \, {\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)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 24 \, {\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)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{4 \, {\left(b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} + b^{4}\right)}}"," ",0,"1/4*(b^4*x^4 - 8*a^3 + (b^4*x^4 - 8*b^3*x^3 - 8*a^3)*cosh(b*x + a)^2 + 2*(b^4*x^4 - 8*b^3*x^3 - 8*a^3)*cosh(b*x + a)*sinh(b*x + a) + (b^4*x^4 - 8*b^3*x^3 - 8*a^3)*sinh(b*x + a)^2 + 24*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + 24*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 12*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 + a^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 12*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 + a^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) + 12*(b^2*x^2 + (b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + 12*(b^2*x^2 + (b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 24*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - 24*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 + b^4)","C",0
364,1,515,0,0.826030," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{3} x^{3} + {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, a^{2} + 6 \, {\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)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\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)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - 6 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 6 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + 6 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right)}{3 \, {\left(b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} + b^{3}\right)}}"," ",0,"1/3*(b^3*x^3 + (b^3*x^3 - 6*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 + 2*(b^3*x^3 - 6*b^2*x^2 + 6*a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 - 6*b^2*x^2 + 6*a^2)*sinh(b*x + a)^2 + 6*a^2 + 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - 6*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) + 6*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 + b*x + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + 6*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 + b*x + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 + b^3)","C",0
365,1,185,0,1.513477," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} + {\left(b^{2} x^{2} - 4 \, b x\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - 4 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - 4 \, b x\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\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(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} + b^{2}\right)}}"," ",0,"1/2*(b^2*x^2 + (b^2*x^2 - 4*b*x)*cosh(b*x + a)^2 + 2*(b^2*x^2 - 4*b*x)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - 4*b*x)*sinh(b*x + a)^2 + 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 + b^2)","B",0
366,1,33,0,0.737686," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + 1\right)} \cosh\left(b x + a\right) - \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)}"," ",0,"((b*x + 1)*cosh(b*x + a) - sinh(b*x + a))/(b*cosh(b*x + a))","B",0
367,0,0,0,0.651983," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)^2/x, x)","F",0
368,0,0,0,0.679886," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)^2/x^2, x)","F",0
369,0,0,0,0.723850," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*sech(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
370,1,2125,0,0.898000," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{3} - 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right) - {\left({\left(3 i \, b^{2} x^{2} + 6 i\right)} \cosh\left(b x + a\right)^{4} + {\left(12 i \, b^{2} x^{2} + 24 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(3 i \, b^{2} x^{2} + 6 i\right)} \sinh\left(b x + a\right)^{4} + 3 i \, b^{2} x^{2} + {\left(6 i \, b^{2} x^{2} + 12 i\right)} \cosh\left(b x + a\right)^{2} + {\left(6 i \, b^{2} x^{2} + {\left(18 i \, b^{2} x^{2} + 36 i\right)} \cosh\left(b x + a\right)^{2} + 12 i\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(12 i \, b^{2} x^{2} + 24 i\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b^{2} x^{2} + 24 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left({\left(-3 i \, b^{2} x^{2} - 6 i\right)} \cosh\left(b x + a\right)^{4} + {\left(-12 i \, b^{2} x^{2} - 24 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-3 i \, b^{2} x^{2} - 6 i\right)} \sinh\left(b x + a\right)^{4} - 3 i \, b^{2} x^{2} + {\left(-6 i \, b^{2} x^{2} - 12 i\right)} \cosh\left(b x + a\right)^{2} + {\left(-6 i \, b^{2} x^{2} + {\left(-18 i \, b^{2} x^{2} - 36 i\right)} \cosh\left(b x + a\right)^{2} - 12 i\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-12 i \, b^{2} x^{2} - 24 i\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b^{2} x^{2} - 24 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 6 i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left({\left(-i \, a^{3} - 6 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, a^{3} - 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, a^{3} - 6 i \, a\right)} \sinh\left(b x + a\right)^{4} - i \, a^{3} + {\left(-2 i \, a^{3} - 12 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, a^{3} + {\left(-6 i \, a^{3} - 36 i \, a\right)} \cosh\left(b x + a\right)^{2} - 12 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-4 i \, a^{3} - 24 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, a^{3} - 24 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 6 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left({\left(i \, a^{3} + 6 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, a^{3} + 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, a^{3} + 6 i \, a\right)} \sinh\left(b x + a\right)^{4} + i \, a^{3} + {\left(2 i \, a^{3} + 12 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, a^{3} + {\left(6 i \, a^{3} + 36 i \, a\right)} \cosh\left(b x + a\right)^{2} + 12 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(4 i \, a^{3} + 24 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, a^{3} + 24 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(-i \, b^{3} x^{3} + {\left(-i \, b^{3} x^{3} - i \, a^{3} - 6 i \, b x - 6 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{3} x^{3} - 4 i \, a^{3} - 24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b^{3} x^{3} - i \, a^{3} - 6 i \, b x - 6 i \, a\right)} \sinh\left(b x + a\right)^{4} - i \, a^{3} + {\left(-2 i \, b^{3} x^{3} - 2 i \, a^{3} - 12 i \, b x - 12 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{3} x^{3} - 2 i \, a^{3} + {\left(-6 i \, b^{3} x^{3} - 6 i \, a^{3} - 36 i \, b x - 36 i \, a\right)} \cosh\left(b x + a\right)^{2} - 12 i \, b x - 12 i \, a\right)} \sinh\left(b x + a\right)^{2} - 6 i \, b x + {\left({\left(-4 i \, b^{3} x^{3} - 4 i \, a^{3} - 24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{3} x^{3} - 4 i \, a^{3} - 24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 6 i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(i \, b^{3} x^{3} + {\left(i \, b^{3} x^{3} + i \, a^{3} + 6 i \, b x + 6 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{3} x^{3} + 4 i \, a^{3} + 24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b^{3} x^{3} + i \, a^{3} + 6 i \, b x + 6 i \, a\right)} \sinh\left(b x + a\right)^{4} + i \, a^{3} + {\left(2 i \, b^{3} x^{3} + 2 i \, a^{3} + 12 i \, b x + 12 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{3} x^{3} + 2 i \, a^{3} + {\left(6 i \, b^{3} x^{3} + 6 i \, a^{3} + 36 i \, b x + 36 i \, a\right)} \cosh\left(b x + a\right)^{2} + 12 i \, b x + 12 i \, a\right)} \sinh\left(b x + a\right)^{2} + 6 i \, b x + {\left({\left(4 i \, b^{3} x^{3} + 4 i \, a^{3} + 24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{3} x^{3} + 4 i \, a^{3} + 24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(6 i \, \cosh\left(b x + a\right)^{4} + 24 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 6 i \, \sinh\left(b x + a\right)^{4} + {\left(36 i \, \cosh\left(b x + a\right)^{2} + 12 i\right)} \sinh\left(b x + a\right)^{2} + 12 i \, \cosh\left(b x + a\right)^{2} + {\left(24 i \, \cosh\left(b x + a\right)^{3} + 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 i\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-6 i \, \cosh\left(b x + a\right)^{4} - 24 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 6 i \, \sinh\left(b x + a\right)^{4} + {\left(-36 i \, \cosh\left(b x + a\right)^{2} - 12 i\right)} \sinh\left(b x + a\right)^{2} - 12 i \, \cosh\left(b x + a\right)^{2} + {\left(-24 i \, \cosh\left(b x + a\right)^{3} - 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 6 i\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(-6 i \, b x \cosh\left(b x + a\right)^{4} - 24 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 6 i \, b x \sinh\left(b x + a\right)^{4} - 12 i \, b x \cosh\left(b x + a\right)^{2} + {\left(-36 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x\right)} \sinh\left(b x + a\right)^{2} - 6 i \, b x + {\left(-24 i \, b x \cosh\left(b x + a\right)^{3} - 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(6 i \, b x \cosh\left(b x + a\right)^{4} + 24 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 6 i \, b x \sinh\left(b x + a\right)^{4} + 12 i \, b x \cosh\left(b x + a\right)^{2} + {\left(36 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x\right)} \sinh\left(b x + a\right)^{2} + 6 i \, b x + {\left(24 i \, b x \cosh\left(b x + a\right)^{3} + 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} - 3 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} + 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^3 + 6*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^3*x^3 + 3*b^2*x^2)*sinh(b*x + a)^3 - 2*(b^3*x^3 - 3*b^2*x^2)*cosh(b*x + a) - ((3*I*b^2*x^2 + 6*I)*cosh(b*x + a)^4 + (12*I*b^2*x^2 + 24*I)*cosh(b*x + a)*sinh(b*x + a)^3 + (3*I*b^2*x^2 + 6*I)*sinh(b*x + a)^4 + 3*I*b^2*x^2 + (6*I*b^2*x^2 + 12*I)*cosh(b*x + a)^2 + (6*I*b^2*x^2 + (18*I*b^2*x^2 + 36*I)*cosh(b*x + a)^2 + 12*I)*sinh(b*x + a)^2 + ((12*I*b^2*x^2 + 24*I)*cosh(b*x + a)^3 + (12*I*b^2*x^2 + 24*I)*cosh(b*x + a))*sinh(b*x + a) + 6*I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - ((-3*I*b^2*x^2 - 6*I)*cosh(b*x + a)^4 + (-12*I*b^2*x^2 - 24*I)*cosh(b*x + a)*sinh(b*x + a)^3 + (-3*I*b^2*x^2 - 6*I)*sinh(b*x + a)^4 - 3*I*b^2*x^2 + (-6*I*b^2*x^2 - 12*I)*cosh(b*x + a)^2 + (-6*I*b^2*x^2 + (-18*I*b^2*x^2 - 36*I)*cosh(b*x + a)^2 - 12*I)*sinh(b*x + a)^2 + ((-12*I*b^2*x^2 - 24*I)*cosh(b*x + a)^3 + (-12*I*b^2*x^2 - 24*I)*cosh(b*x + a))*sinh(b*x + a) - 6*I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - ((-I*a^3 - 6*I*a)*cosh(b*x + a)^4 + (-4*I*a^3 - 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*a^3 - 6*I*a)*sinh(b*x + a)^4 - I*a^3 + (-2*I*a^3 - 12*I*a)*cosh(b*x + a)^2 + (-2*I*a^3 + (-6*I*a^3 - 36*I*a)*cosh(b*x + a)^2 - 12*I*a)*sinh(b*x + a)^2 + ((-4*I*a^3 - 24*I*a)*cosh(b*x + a)^3 + (-4*I*a^3 - 24*I*a)*cosh(b*x + a))*sinh(b*x + a) - 6*I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - ((I*a^3 + 6*I*a)*cosh(b*x + a)^4 + (4*I*a^3 + 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*a^3 + 6*I*a)*sinh(b*x + a)^4 + I*a^3 + (2*I*a^3 + 12*I*a)*cosh(b*x + a)^2 + (2*I*a^3 + (6*I*a^3 + 36*I*a)*cosh(b*x + a)^2 + 12*I*a)*sinh(b*x + a)^2 + ((4*I*a^3 + 24*I*a)*cosh(b*x + a)^3 + (4*I*a^3 + 24*I*a)*cosh(b*x + a))*sinh(b*x + a) + 6*I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (-I*b^3*x^3 + (-I*b^3*x^3 - I*a^3 - 6*I*b*x - 6*I*a)*cosh(b*x + a)^4 + (-4*I*b^3*x^3 - 4*I*a^3 - 24*I*b*x - 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^3*x^3 - I*a^3 - 6*I*b*x - 6*I*a)*sinh(b*x + a)^4 - I*a^3 + (-2*I*b^3*x^3 - 2*I*a^3 - 12*I*b*x - 12*I*a)*cosh(b*x + a)^2 + (-2*I*b^3*x^3 - 2*I*a^3 + (-6*I*b^3*x^3 - 6*I*a^3 - 36*I*b*x - 36*I*a)*cosh(b*x + a)^2 - 12*I*b*x - 12*I*a)*sinh(b*x + a)^2 - 6*I*b*x + ((-4*I*b^3*x^3 - 4*I*a^3 - 24*I*b*x - 24*I*a)*cosh(b*x + a)^3 + (-4*I*b^3*x^3 - 4*I*a^3 - 24*I*b*x - 24*I*a)*cosh(b*x + a))*sinh(b*x + a) - 6*I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (I*b^3*x^3 + (I*b^3*x^3 + I*a^3 + 6*I*b*x + 6*I*a)*cosh(b*x + a)^4 + (4*I*b^3*x^3 + 4*I*a^3 + 24*I*b*x + 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^3*x^3 + I*a^3 + 6*I*b*x + 6*I*a)*sinh(b*x + a)^4 + I*a^3 + (2*I*b^3*x^3 + 2*I*a^3 + 12*I*b*x + 12*I*a)*cosh(b*x + a)^2 + (2*I*b^3*x^3 + 2*I*a^3 + (6*I*b^3*x^3 + 6*I*a^3 + 36*I*b*x + 36*I*a)*cosh(b*x + a)^2 + 12*I*b*x + 12*I*a)*sinh(b*x + a)^2 + 6*I*b*x + ((4*I*b^3*x^3 + 4*I*a^3 + 24*I*b*x + 24*I*a)*cosh(b*x + a)^3 + (4*I*b^3*x^3 + 4*I*a^3 + 24*I*b*x + 24*I*a)*cosh(b*x + a))*sinh(b*x + a) + 6*I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (6*I*cosh(b*x + a)^4 + 24*I*cosh(b*x + a)*sinh(b*x + a)^3 + 6*I*sinh(b*x + a)^4 + (36*I*cosh(b*x + a)^2 + 12*I)*sinh(b*x + a)^2 + 12*I*cosh(b*x + a)^2 + (24*I*cosh(b*x + a)^3 + 24*I*cosh(b*x + a))*sinh(b*x + a) + 6*I)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-6*I*cosh(b*x + a)^4 - 24*I*cosh(b*x + a)*sinh(b*x + a)^3 - 6*I*sinh(b*x + a)^4 + (-36*I*cosh(b*x + a)^2 - 12*I)*sinh(b*x + a)^2 - 12*I*cosh(b*x + a)^2 + (-24*I*cosh(b*x + a)^3 - 24*I*cosh(b*x + a))*sinh(b*x + a) - 6*I)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) - (-6*I*b*x*cosh(b*x + a)^4 - 24*I*b*x*cosh(b*x + a)*sinh(b*x + a)^3 - 6*I*b*x*sinh(b*x + a)^4 - 12*I*b*x*cosh(b*x + a)^2 + (-36*I*b*x*cosh(b*x + a)^2 - 12*I*b*x)*sinh(b*x + a)^2 - 6*I*b*x + (-24*I*b*x*cosh(b*x + a)^3 - 24*I*b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (6*I*b*x*cosh(b*x + a)^4 + 24*I*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + 6*I*b*x*sinh(b*x + a)^4 + 12*I*b*x*cosh(b*x + a)^2 + (36*I*b*x*cosh(b*x + a)^2 + 12*I*b*x)*sinh(b*x + a)^2 + 6*I*b*x + (24*I*b*x*cosh(b*x + a)^3 + 24*I*b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*(b^3*x^3 - 3*b^2*x^2 - 3*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^2)*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 + 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 + b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 + b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
371,1,1549,0,0.726219," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{3} - 2 \, {\left(b^{2} x^{2} - 2 \, b x\right)} \cosh\left(b x + a\right) - {\left(2 i \, b x \cosh\left(b x + a\right)^{4} + 8 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 i \, b x \sinh\left(b x + a\right)^{4} + 4 i \, b x \cosh\left(b x + a\right)^{2} + {\left(12 i \, b x \cosh\left(b x + a\right)^{2} + 4 i \, b x\right)} \sinh\left(b x + a\right)^{2} + 2 i \, b x + {\left(8 i \, b x \cosh\left(b x + a\right)^{3} + 8 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-2 i \, b x \cosh\left(b x + a\right)^{4} - 8 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 2 i \, b x \sinh\left(b x + a\right)^{4} - 4 i \, b x \cosh\left(b x + a\right)^{2} + {\left(-12 i \, b x \cosh\left(b x + a\right)^{2} - 4 i \, b x\right)} \sinh\left(b x + a\right)^{2} - 2 i \, b x + {\left(-8 i \, b x \cosh\left(b x + a\right)^{3} - 8 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left({\left(i \, a^{2} + 2 i\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, a^{2} + 8 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, a^{2} + 2 i\right)} \sinh\left(b x + a\right)^{4} + {\left(2 i \, a^{2} + 4 i\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(6 i \, a^{2} + 12 i\right)} \cosh\left(b x + a\right)^{2} + 2 i \, a^{2} + 4 i\right)} \sinh\left(b x + a\right)^{2} + i \, a^{2} + {\left({\left(4 i \, a^{2} + 8 i\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, a^{2} + 8 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2 i\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left({\left(-i \, a^{2} - 2 i\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, a^{2} - 8 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, a^{2} - 2 i\right)} \sinh\left(b x + a\right)^{4} + {\left(-2 i \, a^{2} - 4 i\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-6 i \, a^{2} - 12 i\right)} \cosh\left(b x + a\right)^{2} - 2 i \, a^{2} - 4 i\right)} \sinh\left(b x + a\right)^{2} - i \, a^{2} + {\left({\left(-4 i \, a^{2} - 8 i\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, a^{2} - 8 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 i\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(-i \, b^{2} x^{2} + i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{2} x^{2} + 4 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b^{2} x^{2} + i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - i \, b^{2} x^{2} + {\left(-2 i \, b^{2} x^{2} + 2 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{2} x^{2} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + i \, a^{2} + {\left({\left(-4 i \, b^{2} x^{2} + 4 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{2} x^{2} + 4 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(i \, b^{2} x^{2} - i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{2} x^{2} - 4 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b^{2} x^{2} - i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + i \, b^{2} x^{2} + {\left(2 i \, b^{2} x^{2} - 2 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{2} x^{2} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - i \, a^{2} + {\left({\left(4 i \, b^{2} x^{2} - 4 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{2} x^{2} - 4 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(-2 i \, \cosh\left(b x + a\right)^{4} - 8 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 2 i \, \sinh\left(b x + a\right)^{4} + {\left(-12 i \, \cosh\left(b x + a\right)^{2} - 4 i\right)} \sinh\left(b x + a\right)^{2} - 4 i \, \cosh\left(b x + a\right)^{2} + {\left(-8 i \, \cosh\left(b x + a\right)^{3} - 8 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(2 i \, \cosh\left(b x + a\right)^{4} + 8 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 i \, \sinh\left(b x + a\right)^{4} + {\left(12 i \, \cosh\left(b x + a\right)^{2} + 4 i\right)} \sinh\left(b x + a\right)^{2} + 4 i \, \cosh\left(b x + a\right)^{2} + {\left(8 i \, \cosh\left(b x + a\right)^{3} + 8 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} + 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^2*x^2 + 2*b*x)*cosh(b*x + a)^3 + 6*(b^2*x^2 + 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^2*x^2 + 2*b*x)*sinh(b*x + a)^3 - 2*(b^2*x^2 - 2*b*x)*cosh(b*x + a) - (2*I*b*x*cosh(b*x + a)^4 + 8*I*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + 2*I*b*x*sinh(b*x + a)^4 + 4*I*b*x*cosh(b*x + a)^2 + (12*I*b*x*cosh(b*x + a)^2 + 4*I*b*x)*sinh(b*x + a)^2 + 2*I*b*x + (8*I*b*x*cosh(b*x + a)^3 + 8*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (-2*I*b*x*cosh(b*x + a)^4 - 8*I*b*x*cosh(b*x + a)*sinh(b*x + a)^3 - 2*I*b*x*sinh(b*x + a)^4 - 4*I*b*x*cosh(b*x + a)^2 + (-12*I*b*x*cosh(b*x + a)^2 - 4*I*b*x)*sinh(b*x + a)^2 - 2*I*b*x + (-8*I*b*x*cosh(b*x + a)^3 - 8*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - ((I*a^2 + 2*I)*cosh(b*x + a)^4 + (4*I*a^2 + 8*I)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*a^2 + 2*I)*sinh(b*x + a)^4 + (2*I*a^2 + 4*I)*cosh(b*x + a)^2 + ((6*I*a^2 + 12*I)*cosh(b*x + a)^2 + 2*I*a^2 + 4*I)*sinh(b*x + a)^2 + I*a^2 + ((4*I*a^2 + 8*I)*cosh(b*x + a)^3 + (4*I*a^2 + 8*I)*cosh(b*x + a))*sinh(b*x + a) + 2*I)*log(cosh(b*x + a) + sinh(b*x + a) + I) - ((-I*a^2 - 2*I)*cosh(b*x + a)^4 + (-4*I*a^2 - 8*I)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*a^2 - 2*I)*sinh(b*x + a)^4 + (-2*I*a^2 - 4*I)*cosh(b*x + a)^2 + ((-6*I*a^2 - 12*I)*cosh(b*x + a)^2 - 2*I*a^2 - 4*I)*sinh(b*x + a)^2 - I*a^2 + ((-4*I*a^2 - 8*I)*cosh(b*x + a)^3 + (-4*I*a^2 - 8*I)*cosh(b*x + a))*sinh(b*x + a) - 2*I)*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((-I*b^2*x^2 + I*a^2)*cosh(b*x + a)^4 + (-4*I*b^2*x^2 + 4*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^2*x^2 + I*a^2)*sinh(b*x + a)^4 - I*b^2*x^2 + (-2*I*b^2*x^2 + 2*I*a^2)*cosh(b*x + a)^2 + (-2*I*b^2*x^2 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)^2 + 2*I*a^2)*sinh(b*x + a)^2 + I*a^2 + ((-4*I*b^2*x^2 + 4*I*a^2)*cosh(b*x + a)^3 + (-4*I*b^2*x^2 + 4*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((I*b^2*x^2 - I*a^2)*cosh(b*x + a)^4 + (4*I*b^2*x^2 - 4*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^2*x^2 - I*a^2)*sinh(b*x + a)^4 + I*b^2*x^2 + (2*I*b^2*x^2 - 2*I*a^2)*cosh(b*x + a)^2 + (2*I*b^2*x^2 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)^2 - 2*I*a^2)*sinh(b*x + a)^2 - I*a^2 + ((4*I*b^2*x^2 - 4*I*a^2)*cosh(b*x + a)^3 + (4*I*b^2*x^2 - 4*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (-2*I*cosh(b*x + a)^4 - 8*I*cosh(b*x + a)*sinh(b*x + a)^3 - 2*I*sinh(b*x + a)^4 + (-12*I*cosh(b*x + a)^2 - 4*I)*sinh(b*x + a)^2 - 4*I*cosh(b*x + a)^2 + (-8*I*cosh(b*x + a)^3 - 8*I*cosh(b*x + a))*sinh(b*x + a) - 2*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (2*I*cosh(b*x + a)^4 + 8*I*cosh(b*x + a)*sinh(b*x + a)^3 + 2*I*sinh(b*x + a)^4 + (12*I*cosh(b*x + a)^2 + 4*I)*sinh(b*x + a)^2 + 4*I*cosh(b*x + a)^2 + (8*I*cosh(b*x + a)^3 + 8*I*cosh(b*x + a))*sinh(b*x + a) + 2*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*(b^2*x^2 - 3*(b^2*x^2 + 2*b*x)*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 + 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 + b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
372,1,1046,0,0.989671," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b x + 1\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b x + 1\right)} \sinh\left(b x + a\right)^{3} - 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) - {\left(i \, \cosh\left(b x + a\right)^{4} + 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + i \, \sinh\left(b x + a\right)^{4} + {\left(6 i \, \cosh\left(b x + a\right)^{2} + 2 i\right)} \sinh\left(b x + a\right)^{2} + 2 i \, \cosh\left(b x + a\right)^{2} + {\left(4 i \, \cosh\left(b x + a\right)^{3} + 4 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-i \, \cosh\left(b x + a\right)^{4} - 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - i \, \sinh\left(b x + a\right)^{4} + {\left(-6 i \, \cosh\left(b x + a\right)^{2} - 2 i\right)} \sinh\left(b x + a\right)^{2} - 2 i \, \cosh\left(b x + a\right)^{2} + {\left(-4 i \, \cosh\left(b x + a\right)^{3} - 4 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(-i \, a \cosh\left(b x + a\right)^{4} - 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - i \, a \sinh\left(b x + a\right)^{4} - 2 i \, a \cosh\left(b x + a\right)^{2} + {\left(-6 i \, a \cosh\left(b x + a\right)^{2} - 2 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(-4 i \, a \cosh\left(b x + a\right)^{3} - 4 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(i \, a \cosh\left(b x + a\right)^{4} + 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + i \, a \sinh\left(b x + a\right)^{4} + 2 i \, a \cosh\left(b x + a\right)^{2} + {\left(6 i \, a \cosh\left(b x + a\right)^{2} + 2 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(4 i \, a \cosh\left(b x + a\right)^{3} + 4 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(-i \, b x - i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b x - i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(-2 i \, b x - 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-6 i \, b x - 6 i \, a\right)} \cosh\left(b x + a\right)^{2} - 2 i \, b x - 2 i \, a\right)} \sinh\left(b x + a\right)^{2} - i \, b x + {\left({\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(i \, b x + i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b x + i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(2 i \, b x + 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(6 i \, b x + 6 i \, a\right)} \cosh\left(b x + a\right)^{2} + 2 i \, b x + 2 i \, a\right)} \sinh\left(b x + a\right)^{2} + i \, b x + {\left({\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(3 \, {\left(b x + 1\right)} \cosh\left(b x + a\right)^{2} - b x + 1\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} + b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b*x + 1)*cosh(b*x + a)^3 + 6*(b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b*x + 1)*sinh(b*x + a)^3 - 2*(b*x - 1)*cosh(b*x + a) - (I*cosh(b*x + a)^4 + 4*I*cosh(b*x + a)*sinh(b*x + a)^3 + I*sinh(b*x + a)^4 + (6*I*cosh(b*x + a)^2 + 2*I)*sinh(b*x + a)^2 + 2*I*cosh(b*x + a)^2 + (4*I*cosh(b*x + a)^3 + 4*I*cosh(b*x + a))*sinh(b*x + a) + I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (-I*cosh(b*x + a)^4 - 4*I*cosh(b*x + a)*sinh(b*x + a)^3 - I*sinh(b*x + a)^4 + (-6*I*cosh(b*x + a)^2 - 2*I)*sinh(b*x + a)^2 - 2*I*cosh(b*x + a)^2 + (-4*I*cosh(b*x + a)^3 - 4*I*cosh(b*x + a))*sinh(b*x + a) - I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (-I*a*cosh(b*x + a)^4 - 4*I*a*cosh(b*x + a)*sinh(b*x + a)^3 - I*a*sinh(b*x + a)^4 - 2*I*a*cosh(b*x + a)^2 + (-6*I*a*cosh(b*x + a)^2 - 2*I*a)*sinh(b*x + a)^2 + (-4*I*a*cosh(b*x + a)^3 - 4*I*a*cosh(b*x + a))*sinh(b*x + a) - I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (I*a*cosh(b*x + a)^4 + 4*I*a*cosh(b*x + a)*sinh(b*x + a)^3 + I*a*sinh(b*x + a)^4 + 2*I*a*cosh(b*x + a)^2 + (6*I*a*cosh(b*x + a)^2 + 2*I*a)*sinh(b*x + a)^2 + (4*I*a*cosh(b*x + a)^3 + 4*I*a*cosh(b*x + a))*sinh(b*x + a) + I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((-I*b*x - I*a)*cosh(b*x + a)^4 + (-4*I*b*x - 4*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b*x - I*a)*sinh(b*x + a)^4 + (-2*I*b*x - 2*I*a)*cosh(b*x + a)^2 + ((-6*I*b*x - 6*I*a)*cosh(b*x + a)^2 - 2*I*b*x - 2*I*a)*sinh(b*x + a)^2 - I*b*x + ((-4*I*b*x - 4*I*a)*cosh(b*x + a)^3 + (-4*I*b*x - 4*I*a)*cosh(b*x + a))*sinh(b*x + a) - I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((I*b*x + I*a)*cosh(b*x + a)^4 + (4*I*b*x + 4*I*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b*x + I*a)*sinh(b*x + a)^4 + (2*I*b*x + 2*I*a)*cosh(b*x + a)^2 + ((6*I*b*x + 6*I*a)*cosh(b*x + a)^2 + 2*I*b*x + 2*I*a)*sinh(b*x + a)^2 + I*b*x + ((4*I*b*x + 4*I*a)*cosh(b*x + a)^3 + (4*I*b*x + 4*I*a)*cosh(b*x + a))*sinh(b*x + a) + I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 2*(3*(b*x + 1)*cosh(b*x + a)^2 - b*x + 1)*sinh(b*x + a))/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 + 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 + b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
373,1,269,0,0.925726," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2,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} + \sinh\left(b x + a\right)^{3} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
374,0,0,0,0.650106," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)^2/x, x)","F",0
375,0,0,0,0.591052," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)^2/x^2, x)","F",0
376,0,0,0,0.397170," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*sech(b*x + a)*sinh(b*x + a)^3, x)","F",0
377,1,966,0,0.597145," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, b^{3} x^{3} + {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, b^{2} x^{2} + 8 \, {\left(b^{4} x^{4} - 2 \, a^{4}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(4 \, b^{4} x^{4} - 8 \, a^{4} + 3 \, {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x - 96 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 96 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 32 \, {\left(a^{3} \cosh\left(b x + a\right)^{2} + 2 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{3} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 32 \, {\left(a^{3} \cosh\left(b x + a\right)^{2} + 2 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{3} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 32 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 32 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 192 \, {\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}\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 192 \, {\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}\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 192 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 192 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{3} + 4 \, {\left(b^{4} x^{4} - 2 \, a^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3}{32 \, {\left(b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/32*(4*b^3*x^3 + (4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^4 + 4*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)*sinh(b*x + a)^3 + (4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*sinh(b*x + a)^4 + 6*b^2*x^2 + 8*(b^4*x^4 - 2*a^4)*cosh(b*x + a)^2 + 2*(4*b^4*x^4 - 8*a^4 + 3*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 6*b*x - 96*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 96*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 32*(a^3*cosh(b*x + a)^2 + 2*a^3*cosh(b*x + a)*sinh(b*x + a) + a^3*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 32*(a^3*cosh(b*x + a)^2 + 2*a^3*cosh(b*x + a)*sinh(b*x + a) + a^3*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 32*((b^3*x^3 + a^3)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 + a^3)*sinh(b*x + a)^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 32*((b^3*x^3 + a^3)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 + a^3)*sinh(b*x + a)^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 192*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 192*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 192*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 192*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*((4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^3 + 4*(b^4*x^4 - 2*a^4)*cosh(b*x + a))*sinh(b*x + a) + 3)/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2)","C",0
378,1,789,0,0.790340," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \sinh\left(b x + a\right)^{4} + 6 \, b^{2} x^{2} + 16 \, {\left(b^{3} x^{3} + 2 \, a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(8 \, b^{3} x^{3} + 16 \, a^{3} + 9 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x - 96 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 96 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 48 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - 48 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 48 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 48 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 96 \, {\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}\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 96 \, {\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}\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left(3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} + 8 \, {\left(b^{3} x^{3} + 2 \, a^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3}{48 \, {\left(b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/48*(3*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^4 + 12*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(2*b^2*x^2 - 2*b*x + 1)*sinh(b*x + a)^4 + 6*b^2*x^2 + 16*(b^3*x^3 + 2*a^3)*cosh(b*x + a)^2 + 2*(8*b^3*x^3 + 16*a^3 + 9*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 6*b*x - 96*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 96*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 48*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) - 48*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 48*((b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 48*((b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 96*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 96*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*(3*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^3 + 8*(b^3*x^3 + 2*a^3)*cosh(b*x + a))*sinh(b*x + a) + 3)/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2)","C",0
379,1,558,0,0.733114," ","integrate(x*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(2 \, b x - 1\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(4 \, b^{2} x^{2} + 3 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} - 8 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x - 16 \, {\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}\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 16 \, {\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}\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 16 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 16 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 16 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 16 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{3} + 4 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{16 \, {\left(b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/16*((2*b*x - 1)*cosh(b*x + a)^4 + 4*(2*b*x - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (2*b*x - 1)*sinh(b*x + a)^4 + 8*(b^2*x^2 - 2*a^2)*cosh(b*x + a)^2 + 2*(4*b^2*x^2 + 3*(2*b*x - 1)*cosh(b*x + a)^2 - 8*a^2)*sinh(b*x + a)^2 + 2*b*x - 16*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 16*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 16*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 16*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 16*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 16*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 4*((2*b*x - 1)*cosh(b*x + a)^3 + 4*(b^2*x^2 - 2*a^2)*cosh(b*x + a))*sinh(b*x + a) + 1)/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2)","C",0
380,1,197,0,0.590903," ","integrate(sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{8 \, b x \cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(4 \, b x + 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\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}\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(4 \, b x \cosh\left(b x + a\right) + \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1}{8 \, {\left(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}\right)}}"," ",0,"1/8*(8*b*x*cosh(b*x + a)^2 + cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(4*b*x + 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 8*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(4*b*x*cosh(b*x + a) + cosh(b*x + a)^3)*sinh(b*x + a) + 1)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
381,0,0,0,0.509133," ","integrate(sech(b*x+a)*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)^3/x, x)","F",0
382,0,0,0,0.540007," ","integrate(sech(b*x+a)*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)*sinh(b*x + a)^3/x^2, x)","F",0
383,0,0,0,0.592683," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*sech(b*x + a)^2*sinh(b*x + a)^3, x)","F",0
384,1,1213,0,0.514480," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{b^{3} x^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \sinh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} + 6 \, {\left(b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} + 6 \, {\left(b^{3} x^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + {\left(-12 i \, b x \cosh\left(b x + a\right)^{3} - 36 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 12 i \, b x \sinh\left(b x + a\right)^{3} - 12 i \, b x \cosh\left(b x + a\right) + {\left(-36 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(12 i \, b x \cosh\left(b x + a\right)^{3} + 36 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 12 i \, b x \sinh\left(b x + a\right)^{3} + 12 i \, b x \cosh\left(b x + a\right) + {\left(36 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(-6 i \, a^{2} \cosh\left(b x + a\right)^{3} - 18 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 6 i \, a^{2} \sinh\left(b x + a\right)^{3} - 6 i \, a^{2} \cosh\left(b x + a\right) + {\left(-18 i \, a^{2} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(6 i \, a^{2} \cosh\left(b x + a\right)^{3} + 18 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 6 i \, a^{2} \sinh\left(b x + a\right)^{3} + 6 i \, a^{2} \cosh\left(b x + a\right) + {\left(18 i \, a^{2} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left({\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(18 i \, b^{2} x^{2} - 18 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right) + {\left(6 i \, b^{2} x^{2} + {\left(18 i \, b^{2} x^{2} - 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-18 i \, b^{2} x^{2} + 18 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right) + {\left(-6 i \, b^{2} x^{2} + {\left(-18 i \, b^{2} x^{2} + 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(12 i \, \cosh\left(b x + a\right)^{3} + 36 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 12 i \, \sinh\left(b x + a\right)^{3} + {\left(36 i \, \cosh\left(b x + a\right)^{2} + 12 i\right)} \sinh\left(b x + a\right) + 12 i \, \cosh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-12 i \, \cosh\left(b x + a\right)^{3} - 36 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 12 i \, \sinh\left(b x + a\right)^{3} + {\left(-36 i \, \cosh\left(b x + a\right)^{2} - 12 i\right)} \sinh\left(b x + a\right) - 12 i \, \cosh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + 3 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{4} \sinh\left(b x + a\right)^{3} + b^{4} \cosh\left(b x + a\right) + {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(b^3*x^3 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^4 + 4*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*sinh(b*x + a)^4 + 3*b^2*x^2 + 6*(b^3*x^3 + 2*b*x)*cosh(b*x + a)^2 + 6*(b^3*x^3 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^2 + 2*b*x)*sinh(b*x + a)^2 + 6*b*x + (-12*I*b*x*cosh(b*x + a)^3 - 36*I*b*x*cosh(b*x + a)*sinh(b*x + a)^2 - 12*I*b*x*sinh(b*x + a)^3 - 12*I*b*x*cosh(b*x + a) + (-36*I*b*x*cosh(b*x + a)^2 - 12*I*b*x)*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (12*I*b*x*cosh(b*x + a)^3 + 36*I*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + 12*I*b*x*sinh(b*x + a)^3 + 12*I*b*x*cosh(b*x + a) + (36*I*b*x*cosh(b*x + a)^2 + 12*I*b*x)*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (-6*I*a^2*cosh(b*x + a)^3 - 18*I*a^2*cosh(b*x + a)*sinh(b*x + a)^2 - 6*I*a^2*sinh(b*x + a)^3 - 6*I*a^2*cosh(b*x + a) + (-18*I*a^2*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (6*I*a^2*cosh(b*x + a)^3 + 18*I*a^2*cosh(b*x + a)*sinh(b*x + a)^2 + 6*I*a^2*sinh(b*x + a)^3 + 6*I*a^2*cosh(b*x + a) + (18*I*a^2*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)^3 + (18*I*b^2*x^2 - 18*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^2 + (6*I*b^2*x^2 - 6*I*a^2)*sinh(b*x + a)^3 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a) + (6*I*b^2*x^2 + (18*I*b^2*x^2 - 18*I*a^2)*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)^3 + (-18*I*b^2*x^2 + 18*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^2 + (-6*I*b^2*x^2 + 6*I*a^2)*sinh(b*x + a)^3 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a) + (-6*I*b^2*x^2 + (-18*I*b^2*x^2 + 18*I*a^2)*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (12*I*cosh(b*x + a)^3 + 36*I*cosh(b*x + a)*sinh(b*x + a)^2 + 12*I*sinh(b*x + a)^3 + (36*I*cosh(b*x + a)^2 + 12*I)*sinh(b*x + a) + 12*I*cosh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (-12*I*cosh(b*x + a)^3 - 36*I*cosh(b*x + a)*sinh(b*x + a)^2 - 12*I*sinh(b*x + a)^3 + (-36*I*cosh(b*x + a)^2 - 12*I)*sinh(b*x + a) - 12*I*cosh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*((b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^3 + 3*(b^3*x^3 + 2*b*x)*cosh(b*x + a))*sinh(b*x + a) + 6)/(b^4*cosh(b*x + a)^3 + 3*b^4*cosh(b*x + a)*sinh(b*x + a)^2 + b^4*sinh(b*x + a)^3 + b^4*cosh(b*x + a) + (3*b^4*cosh(b*x + a)^2 + b^4)*sinh(b*x + a))","C",0
385,1,869,0,0.727091," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x + {\left(-4 i \, \cosh\left(b x + a\right)^{3} - 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 4 i \, \sinh\left(b x + a\right)^{3} + {\left(-12 i \, \cosh\left(b x + a\right)^{2} - 4 i\right)} \sinh\left(b x + a\right) - 4 i \, \cosh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(4 i \, \cosh\left(b x + a\right)^{3} + 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 4 i \, \sinh\left(b x + a\right)^{3} + {\left(12 i \, \cosh\left(b x + a\right)^{2} + 4 i\right)} \sinh\left(b x + a\right) + 4 i \, \cosh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(4 i \, a \cosh\left(b x + a\right)^{3} + 12 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 4 i \, a \sinh\left(b x + a\right)^{3} + 4 i \, a \cosh\left(b x + a\right) + {\left(12 i \, a \cosh\left(b x + a\right)^{2} + 4 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-4 i \, a \cosh\left(b x + a\right)^{3} - 12 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 4 i \, a \sinh\left(b x + a\right)^{3} - 4 i \, a \cosh\left(b x + a\right) + {\left(-12 i \, a \cosh\left(b x + a\right)^{2} - 4 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left({\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b x + 12 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(4 i \, b x + 4 i \, a\right)} \sinh\left(b x + a\right)^{3} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right) + {\left({\left(12 i \, b x + 12 i \, a\right)} \cosh\left(b x + a\right)^{2} + 4 i \, b x + 4 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b x - 12 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(-4 i \, b x - 4 i \, a\right)} \sinh\left(b x + a\right)^{3} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right) + {\left({\left(-12 i \, b x - 12 i \, a\right)} \cosh\left(b x + a\right)^{2} - 4 i \, b x - 4 i \, a\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{3} + {\left(3 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + 3 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{3} \sinh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right) + {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 2*b*x + 2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(3*b^2*x^2 + 2)*cosh(b*x + a)^2 + 2*(3*b^2*x^2 + 3*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 2*b*x + (-4*I*cosh(b*x + a)^3 - 12*I*cosh(b*x + a)*sinh(b*x + a)^2 - 4*I*sinh(b*x + a)^3 + (-12*I*cosh(b*x + a)^2 - 4*I)*sinh(b*x + a) - 4*I*cosh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (4*I*cosh(b*x + a)^3 + 12*I*cosh(b*x + a)*sinh(b*x + a)^2 + 4*I*sinh(b*x + a)^3 + (12*I*cosh(b*x + a)^2 + 4*I)*sinh(b*x + a) + 4*I*cosh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (4*I*a*cosh(b*x + a)^3 + 12*I*a*cosh(b*x + a)*sinh(b*x + a)^2 + 4*I*a*sinh(b*x + a)^3 + 4*I*a*cosh(b*x + a) + (12*I*a*cosh(b*x + a)^2 + 4*I*a)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-4*I*a*cosh(b*x + a)^3 - 12*I*a*cosh(b*x + a)*sinh(b*x + a)^2 - 4*I*a*sinh(b*x + a)^3 - 4*I*a*cosh(b*x + a) + (-12*I*a*cosh(b*x + a)^2 - 4*I*a)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((4*I*b*x + 4*I*a)*cosh(b*x + a)^3 + (12*I*b*x + 12*I*a)*cosh(b*x + a)*sinh(b*x + a)^2 + (4*I*b*x + 4*I*a)*sinh(b*x + a)^3 + (4*I*b*x + 4*I*a)*cosh(b*x + a) + ((12*I*b*x + 12*I*a)*cosh(b*x + a)^2 + 4*I*b*x + 4*I*a)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((-4*I*b*x - 4*I*a)*cosh(b*x + a)^3 + (-12*I*b*x - 12*I*a)*cosh(b*x + a)*sinh(b*x + a)^2 + (-4*I*b*x - 4*I*a)*sinh(b*x + a)^3 + (-4*I*b*x - 4*I*a)*cosh(b*x + a) + ((-12*I*b*x - 12*I*a)*cosh(b*x + a)^2 - 4*I*b*x - 4*I*a)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 4*((b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^3 + (3*b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)/(b^3*cosh(b*x + a)^3 + 3*b^3*cosh(b*x + a)*sinh(b*x + a)^2 + b^3*sinh(b*x + a)^3 + b^3*cosh(b*x + a) + (3*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a))","B",0
386,1,283,0,0.525889," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(b x - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x - 1\right)} \sinh\left(b x + a\right)^{4} + 6 \, b x \cosh\left(b x + a\right)^{2} + 6 \, {\left({\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x - 4 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + \cosh\left(b x + a\right)\right)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b x - 1\right)} \cosh\left(b x + a\right)^{3} + 3 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} + 3 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{2} \sinh\left(b x + a\right)^{3} + b^{2} \cosh\left(b x + a\right) + {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b*x - 1)*cosh(b*x + a)^4 + 4*(b*x - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x - 1)*sinh(b*x + a)^4 + 6*b*x*cosh(b*x + a)^2 + 6*((b*x - 1)*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x - 4*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + cosh(b*x + a))*arctan(cosh(b*x + a) + sinh(b*x + a)) + 4*((b*x - 1)*cosh(b*x + a)^3 + 3*b*x*cosh(b*x + a))*sinh(b*x + a) + 1)/(b^2*cosh(b*x + a)^3 + 3*b^2*cosh(b*x + a)*sinh(b*x + a)^2 + b^2*sinh(b*x + a)^3 + b^2*cosh(b*x + a) + (3*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a))","B",0
387,1,31,0,0.701267," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2} + 3}{2 \, b \cosh\left(b x + a\right)}"," ",0,"1/2*(cosh(b*x + a)^2 + sinh(b*x + a)^2 + 3)/(b*cosh(b*x + a))","A",0
388,0,0,0,0.678773," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)^3/x, x)","F",0
389,0,0,0,0.869798," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^2*sinh(b*x + a)^3/x^2, x)","F",0
390,0,0,0,0.739621," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*sech(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
391,1,2207,0,0.628540," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b^{4} x^{4} + {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - 2 \, a^{4} + 2 \, {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} + 3 \, {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 12 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 12 \, a^{2} - 12 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 12 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(a^{3} + 3 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(a^{3} + 3 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 4 \, {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 4 \, {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 24 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 24 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 24 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 24 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{4 \, {\left(b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} + 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/4*(b^4*x^4 + (b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^4 + 4*(b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*sinh(b*x + a)^4 - 2*a^4 + 2*(b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 - 12*a^2)*cosh(b*x + a)^2 + 2*(b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 + 3*(b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^2 - 12*a^2)*sinh(b*x + a)^2 - 12*a^2 - 12*((b^2*x^2 + 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 1)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 1)*cosh(b*x + a)^3 + (b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 12*((b^2*x^2 + 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 1)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 1)*cosh(b*x + a)^3 + (b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*((a^3 + 3*a)*cosh(b*x + a)^4 + 4*(a^3 + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 + 3*a)*sinh(b*x + a)^4 + a^3 + 2*(a^3 + 3*a)*cosh(b*x + a)^2 + 2*(a^3 + 3*(a^3 + 3*a)*cosh(b*x + a)^2 + 3*a)*sinh(b*x + a)^2 + 4*((a^3 + 3*a)*cosh(b*x + a)^3 + (a^3 + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 4*((a^3 + 3*a)*cosh(b*x + a)^4 + 4*(a^3 + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 + 3*a)*sinh(b*x + a)^4 + a^3 + 2*(a^3 + 3*a)*cosh(b*x + a)^2 + 2*(a^3 + 3*(a^3 + 3*a)*cosh(b*x + a)^2 + 3*a)*sinh(b*x + a)^2 + 4*((a^3 + 3*a)*cosh(b*x + a)^3 + (a^3 + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 4*(b^3*x^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*sinh(b*x + a)^4 + a^3 + 2*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3 + 3*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 + 3*b*x + 3*a)*sinh(b*x + a)^2 + 3*b*x + 4*((b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 4*(b^3*x^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*sinh(b*x + a)^4 + a^3 + 2*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3 + 3*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 + 3*b*x + 3*a)*sinh(b*x + a)^2 + 3*b*x + 4*((b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 24*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 24*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 24*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 24*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*((b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^3 + (b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 - 12*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 + 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 + b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 + b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
392,1,1649,0,0.941116," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b^{3} x^{3} + {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{4} + 2 \, a^{3} + 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} + 3 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} + 3 \, {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{2} - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 3 \, {\left({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + a^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{2} + 1\right)} \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) + i\right) - 3 \, {\left({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + a^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{2} + 1\right)} \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) - i\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} + 3 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 \, a}{3 \, {\left(b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} + 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/3*(b^3*x^3 + (b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*sinh(b*x + a)^4 + 2*a^3 + 2*(b^3*x^3 - 3*b^2*x^2 + 2*a^3 + 3*b*x + 6*a)*cosh(b*x + a)^2 + 2*(b^3*x^3 - 3*b^2*x^2 + 2*a^3 + 3*(b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^2 + 3*b*x + 6*a)*sinh(b*x + a)^2 - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 3*((a^2 + 1)*cosh(b*x + a)^4 + 4*(a^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 + 1)*sinh(b*x + a)^4 + 2*(a^2 + 1)*cosh(b*x + a)^2 + 2*(3*(a^2 + 1)*cosh(b*x + a)^2 + a^2 + 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 + 1)*cosh(b*x + a)^3 + (a^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + I) - 3*((a^2 + 1)*cosh(b*x + a)^4 + 4*(a^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 + 1)*sinh(b*x + a)^4 + 2*(a^2 + 1)*cosh(b*x + a)^2 + 2*(3*(a^2 + 1)*cosh(b*x + a)^2 + a^2 + 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 + 1)*cosh(b*x + a)^3 + (a^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*((b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^3 + (b^3*x^3 - 3*b^2*x^2 + 2*a^3 + 3*b*x + 6*a)*cosh(b*x + a))*sinh(b*x + a) + 6*a)/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 + 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 + b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
393,1,1106,0,0.572973," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, a^{2} - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + 2 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 2 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 2 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} + b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*((b^2*x^2 - 2*a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 2*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 2*a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - 2*a^2 - 2*b*x - 1)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - 2*a^2)*cosh(b*x + a)^2 - 2*a^2 - 2*b*x - 1)*sinh(b*x + a)^2 - 2*a^2 - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + 2*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 2*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 2*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 4*((b^2*x^2 - 2*a^2)*cosh(b*x + a)^3 + (b^2*x^2 - 2*a^2 - 2*b*x - 1)*cosh(b*x + a))*sinh(b*x + a) - 2)/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 + 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 + b^2*cosh(b*x + a))*sinh(b*x + a))","C",0
394,1,339,0,0.593946," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x - 1\right)} \sinh\left(b x + a\right)^{2} + b x - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + {\left(b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*(b*x - 1)*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x - 1)*sinh(b*x + a)^2 + b*x - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(b*x*cosh(b*x + a)^3 + (b*x - 1)*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
395,0,0,0,0.643325," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)^3/x, x)","F",0
396,0,0,0,0.688024," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(sech(b*x + a)^3*sinh(b*x + a)^3/x^2, x)","F",0
397,0,0,0,0.823216," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right), x\right)"," ",0,"integral(x^m*cosh(b*x + a)*csch(b*x + a), x)","F",0
398,1,216,0,0.593251," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","-\frac{b^{4} x^{4} - 4 \, b^{3} x^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 12 \, b^{2} x^{2} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 12 \, b^{2} x^{2} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 24 \, b x {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 24 \, b x {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 24 \, {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 24 \, {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{4 \, b^{4}}"," ",0,"-1/4*(b^4*x^4 - 4*b^3*x^3*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 12*b^2*x^2*dilog(cosh(b*x + a) + sinh(b*x + a)) - 12*b^2*x^2*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 4*a^3*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 24*b*x*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 24*b*x*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) - 4*(b^3*x^3 + a^3)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 24*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 24*polylog(4, -cosh(b*x + a) - sinh(b*x + a)))/b^4","C",0
399,1,168,0,1.001421," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","-\frac{b^{3} x^{3} - 3 \, b^{2} x^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 6 \, b x {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, b x {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 3 \, a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{3 \, b^{3}}"," ",0,"-1/3*(b^3*x^3 - 3*b^2*x^2*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 6*b*x*dilog(cosh(b*x + a) + sinh(b*x + a)) - 6*b*x*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 3*a^2*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 3*(b^2*x^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/b^3","C",0
400,1,112,0,0.470957," ","integrate(x*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} - 2 \, b x \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 2 \, {\left(b x + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 2 \, {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{2 \, b^{2}}"," ",0,"-1/2*(b^2*x^2 - 2*b*x*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*a*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 2*(b*x + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 2*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*dilog(-cosh(b*x + a) - sinh(b*x + a)))/b^2","B",0
401,1,37,0,0.531973," ","integrate(cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","-\frac{b x - \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,"-(b*x - log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
402,0,0,0,0.564138," ","integrate(cosh(b*x+a)*csch(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)/x, x)","F",0
403,0,0,0,0.445578," ","integrate(cosh(b*x+a)*csch(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)/x^2, x)","F",0
404,0,0,0,0.458066," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right), x\right)"," ",0,"integral(x^m*cosh(b*x + a)^2*csch(b*x + a), x)","F",0
405,1,511,0,0.799074," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","\frac{b^{3} x^{3} + 3 \, b^{2} x^{2} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 6 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{3} x^{3} \cosh\left(b x + a\right) + b^{3} x^{3} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 2 \, {\left(a^{3} \cosh\left(b x + a\right) + a^{3} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 12 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 12 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 6}{2 \, {\left(b^{4} \cosh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(b^3*x^3 + 3*b^2*x^2 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^2 + 2*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*sinh(b*x + a)^2 + 6*b*x + 6*(b^2*x^2*cosh(b*x + a) + b^2*x^2*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 6*(b^2*x^2*cosh(b*x + a) + b^2*x^2*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 2*(b^3*x^3*cosh(b*x + a) + b^3*x^3*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 2*(a^3*cosh(b*x + a) + a^3*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*((b^3*x^3 + a^3)*cosh(b*x + a) + (b^3*x^3 + a^3)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 12*(cosh(b*x + a) + sinh(b*x + a))*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 12*(cosh(b*x + a) + sinh(b*x + a))*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 12*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 12*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 6)/(b^4*cosh(b*x + a) + b^4*sinh(b*x + a))","C",0
406,1,391,0,0.550329," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} x^{2} + {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x + 4 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 4 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(a^{2} \cosh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 4 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 4 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2}{2 \, {\left(b^{3} \cosh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(b^2*x^2 + (b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - 2*b*x + 2)*sinh(b*x + a)^2 + 2*b*x + 4*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 4*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 2*(b^2*x^2*cosh(b*x + a) + b^2*x^2*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*(a^2*cosh(b*x + a) + a^2*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*((b^2*x^2 - a^2)*cosh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 4*(cosh(b*x + a) + sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 4*(cosh(b*x + a) + sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2)/(b^3*cosh(b*x + a) + b^3*sinh(b*x + a))","C",0
407,1,255,0,0.831532," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x - 1\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right) + b x \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 2 \, {\left(a \cosh\left(b x + a\right) + a \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 1}{2 \, {\left(b^{2} \cosh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b*x - 1)*cosh(b*x + a)^2 + 2*(b*x - 1)*cosh(b*x + a)*sinh(b*x + a) + (b*x - 1)*sinh(b*x + a)^2 + b*x + 2*(cosh(b*x + a) + sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*(cosh(b*x + a) + sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 2*(b*x*cosh(b*x + a) + b*x*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 2*(a*cosh(b*x + a) + a*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*((b*x + a)*cosh(b*x + a) + (b*x + a)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 1)/(b^2*cosh(b*x + a) + b^2*sinh(b*x + a))","B",0
408,1,113,0,0.737093," ","integrate(cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2} + 1}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(cosh(b*x + a)^2 - 2*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
409,0,0,0,0.606562," ","integrate(cosh(b*x+a)^2*csch(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)/x, x)","F",0
410,0,0,0,0.391368," ","integrate(cosh(b*x+a)^2*csch(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)/x^2, x)","F",0
411,0,0,0,0.536807," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right), x\right)"," ",0,"integral(x^m*cosh(b*x + a)^3*csch(b*x + a), x)","F",0
412,1,876,0,0.645932," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{4 \, b^{3} x^{3} + {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, b^{2} x^{2} - 8 \, {\left(b^{4} x^{4} - 2 \, a^{4}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(4 \, b^{4} x^{4} - 8 \, a^{4} - 3 \, {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 96 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 96 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 32 \, {\left(b^{3} x^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} x^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} x^{3} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 32 \, {\left(a^{3} \cosh\left(b x + a\right)^{2} + 2 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{3} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 32 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 192 \, {\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}\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 192 \, {\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}\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 192 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 192 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} \cosh\left(b x + a\right)^{3} - 4 \, {\left(b^{4} x^{4} - 2 \, a^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3}{32 \, {\left(b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/32*(4*b^3*x^3 + (4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^4 + 4*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)*sinh(b*x + a)^3 + (4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*sinh(b*x + a)^4 + 6*b^2*x^2 - 8*(b^4*x^4 - 2*a^4)*cosh(b*x + a)^2 - 2*(4*b^4*x^4 - 8*a^4 - 3*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 6*b*x + 96*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 96*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 32*(b^3*x^3*cosh(b*x + a)^2 + 2*b^3*x^3*cosh(b*x + a)*sinh(b*x + a) + b^3*x^3*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 32*(a^3*cosh(b*x + a)^2 + 2*a^3*cosh(b*x + a)*sinh(b*x + a) + a^3*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 32*((b^3*x^3 + a^3)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 + a^3)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 192*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) + 192*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 192*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 192*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*((4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*cosh(b*x + a)^3 - 4*(b^4*x^4 - 2*a^4)*cosh(b*x + a))*sinh(b*x + a) + 3)/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2)","C",0
413,1,697,0,0.916627," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \sinh\left(b x + a\right)^{4} + 6 \, b^{2} x^{2} - 16 \, {\left(b^{3} x^{3} + 2 \, a^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(8 \, b^{3} x^{3} + 16 \, a^{3} - 9 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 96 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 96 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 48 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 48 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 48 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 96 \, {\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}\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 96 \, {\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}\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left(3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} - 8 \, {\left(b^{3} x^{3} + 2 \, a^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3}{48 \, {\left(b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/48*(3*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^4 + 12*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(2*b^2*x^2 - 2*b*x + 1)*sinh(b*x + a)^4 + 6*b^2*x^2 - 16*(b^3*x^3 + 2*a^3)*cosh(b*x + a)^2 - 2*(8*b^3*x^3 + 16*a^3 - 9*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 6*b*x + 96*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 96*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 48*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 48*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 48*((b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 96*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 96*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*(3*(2*b^2*x^2 - 2*b*x + 1)*cosh(b*x + a)^3 - 8*(b^3*x^3 + 2*a^3)*cosh(b*x + a))*sinh(b*x + a) + 3)/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2)","C",0
414,1,488,0,1.107984," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(2 \, b x - 1\right)} \sinh\left(b x + a\right)^{4} - 8 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(4 \, b^{2} x^{2} - 3 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} - 8 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x + 16 \, {\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}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 16 \, {\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}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 16 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 16 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 16 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{3} - 4 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{16 \, {\left(b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/16*((2*b*x - 1)*cosh(b*x + a)^4 + 4*(2*b*x - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (2*b*x - 1)*sinh(b*x + a)^4 - 8*(b^2*x^2 - 2*a^2)*cosh(b*x + a)^2 - 2*(4*b^2*x^2 - 3*(2*b*x - 1)*cosh(b*x + a)^2 - 8*a^2)*sinh(b*x + a)^2 + 2*b*x + 16*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 16*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 16*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 16*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 16*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 4*((2*b*x - 1)*cosh(b*x + a)^3 - 4*(b^2*x^2 - 2*a^2)*cosh(b*x + a))*sinh(b*x + a) + 1)/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2)","B",0
415,1,203,0,0.959844," ","integrate(cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","-\frac{8 \, b x \cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{4} - 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - \sinh\left(b x + a\right)^{4} + 2 \, {\left(4 \, b x - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 8 \, {\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}\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(4 \, b x \cosh\left(b x + a\right) - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1}{8 \, {\left(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}\right)}}"," ",0,"-1/8*(8*b*x*cosh(b*x + a)^2 - cosh(b*x + a)^4 - 4*cosh(b*x + a)*sinh(b*x + a)^3 - sinh(b*x + a)^4 + 2*(4*b*x - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 8*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(4*b*x*cosh(b*x + a) - cosh(b*x + a)^3)*sinh(b*x + a) - 1)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
416,0,0,0,0.981055," ","integrate(cosh(b*x+a)^3*csch(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)/x, x)","F",0
417,0,0,0,0.490676," ","integrate(cosh(b*x+a)^3*csch(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)/x^2, x)","F",0
418,1,336,0,0.579845," ","integrate(x*cosh(x)^2*coth(x)^2,x, algorithm=""fricas"")","\frac{{\left(2 \, x - 1\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x - 1\right)} \sinh\left(x\right)^{6} + {\left(12 \, x^{2} - 34 \, x + 1\right)} \cosh\left(x\right)^{4} + {\left(15 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{2} + 12 \, x^{2} - 34 \, x + 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{3} + {\left(12 \, x^{2} - 34 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(12 \, x^{2} + 2 \, x + 1\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{4} + 6 \, {\left(12 \, x^{2} - 34 \, x + 1\right)} \cosh\left(x\right)^{2} - 12 \, x^{2} - 2 \, x - 1\right)} \sinh\left(x\right)^{2} + 16 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \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 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{5} + 2 \, {\left(12 \, x^{2} - 34 \, x + 1\right)} \cosh\left(x\right)^{3} - {\left(12 \, x^{2} + 2 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, x + 1}{16 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/16*((2*x - 1)*cosh(x)^6 + 6*(2*x - 1)*cosh(x)*sinh(x)^5 + (2*x - 1)*sinh(x)^6 + (12*x^2 - 34*x + 1)*cosh(x)^4 + (15*(2*x - 1)*cosh(x)^2 + 12*x^2 - 34*x + 1)*sinh(x)^4 + 4*(5*(2*x - 1)*cosh(x)^3 + (12*x^2 - 34*x + 1)*cosh(x))*sinh(x)^3 - (12*x^2 + 2*x + 1)*cosh(x)^2 + (15*(2*x - 1)*cosh(x)^4 + 6*(12*x^2 - 34*x + 1)*cosh(x)^2 - 12*x^2 - 2*x - 1)*sinh(x)^2 + 16*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*(3*(2*x - 1)*cosh(x)^5 + 2*(12*x^2 - 34*x + 1)*cosh(x)^3 - (12*x^2 + 2*x + 1)*cosh(x))*sinh(x) + 2*x + 1)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))","B",0
419,1,617,0,0.470890," ","integrate(x^2*cosh(x)^2*coth(x)^2,x, algorithm=""fricas"")","\frac{{\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{2} - 2 \, x + 1\right)} \sinh\left(x\right)^{6} + {\left(8 \, x^{3} - 34 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{4} + {\left(8 \, x^{3} + 15 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{2} - 34 \, x^{2} + 2 \, x - 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{3} + {\left(8 \, x^{3} - 34 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(8 \, x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{4} - 8 \, x^{3} + 6 \, {\left(8 \, x^{3} - 34 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{2} - 2 \, x^{2} - 2 \, x - 1\right)} \sinh\left(x\right)^{2} + 2 \, x^{2} + 32 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 32 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 32 \, {\left(x \cosh\left(x\right)^{4} + 4 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + x \sinh\left(x\right)^{4} - x \cosh\left(x\right)^{2} + {\left(6 \, x \cosh\left(x\right)^{2} - x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x \cosh\left(x\right)^{3} - x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 32 \, {\left(x \cosh\left(x\right)^{4} + 4 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + x \sinh\left(x\right)^{4} - x \cosh\left(x\right)^{2} + {\left(6 \, x \cosh\left(x\right)^{2} - x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x \cosh\left(x\right)^{3} - x \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 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{5} + 2 \, {\left(8 \, x^{3} - 34 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{3} - {\left(8 \, x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, x + 1}{16 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/16*((2*x^2 - 2*x + 1)*cosh(x)^6 + 6*(2*x^2 - 2*x + 1)*cosh(x)*sinh(x)^5 + (2*x^2 - 2*x + 1)*sinh(x)^6 + (8*x^3 - 34*x^2 + 2*x - 1)*cosh(x)^4 + (8*x^3 + 15*(2*x^2 - 2*x + 1)*cosh(x)^2 - 34*x^2 + 2*x - 1)*sinh(x)^4 + 4*(5*(2*x^2 - 2*x + 1)*cosh(x)^3 + (8*x^3 - 34*x^2 + 2*x - 1)*cosh(x))*sinh(x)^3 - (8*x^3 + 2*x^2 + 2*x + 1)*cosh(x)^2 + (15*(2*x^2 - 2*x + 1)*cosh(x)^4 - 8*x^3 + 6*(8*x^3 - 34*x^2 + 2*x - 1)*cosh(x)^2 - 2*x^2 - 2*x - 1)*sinh(x)^2 + 2*x^2 + 32*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 32*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + 32*(x*cosh(x)^4 + 4*x*cosh(x)*sinh(x)^3 + x*sinh(x)^4 - x*cosh(x)^2 + (6*x*cosh(x)^2 - x)*sinh(x)^2 + 2*(2*x*cosh(x)^3 - x*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 32*(x*cosh(x)^4 + 4*x*cosh(x)*sinh(x)^3 + x*sinh(x)^4 - x*cosh(x)^2 + (6*x*cosh(x)^2 - x)*sinh(x)^2 + 2*(2*x*cosh(x)^3 - x*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 2*(3*(2*x^2 - 2*x + 1)*cosh(x)^5 + 2*(8*x^3 - 34*x^2 + 2*x - 1)*cosh(x)^3 - (8*x^3 + 2*x^2 + 2*x + 1)*cosh(x))*sinh(x) + 2*x + 1)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))","B",0
420,1,875,0,0.546380," ","integrate(x^3*cosh(x)^2*coth(x)^2,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{6} + 6 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \sinh\left(x\right)^{6} + {\left(12 \, x^{4} - 68 \, x^{3} + 6 \, x^{2} - 6 \, x + 3\right)} \cosh\left(x\right)^{4} + {\left(12 \, x^{4} - 68 \, x^{3} + 15 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{2} + 6 \, x^{2} - 6 \, x + 3\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{3} + {\left(12 \, x^{4} - 68 \, x^{3} + 6 \, x^{2} - 6 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, x^{3} - {\left(12 \, x^{4} + 4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{4} - 12 \, x^{4} - 4 \, x^{3} + 6 \, {\left(12 \, x^{4} - 68 \, x^{3} + 6 \, x^{2} - 6 \, x + 3\right)} \cosh\left(x\right)^{2} - 6 \, x^{2} - 6 \, x - 3\right)} \sinh\left(x\right)^{2} + 6 \, x^{2} + 192 \, {\left(x \cosh\left(x\right)^{4} + 4 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + x \sinh\left(x\right)^{4} - x \cosh\left(x\right)^{2} + {\left(6 \, x \cosh\left(x\right)^{2} - x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x \cosh\left(x\right)^{3} - x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 192 \, {\left(x \cosh\left(x\right)^{4} + 4 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + x \sinh\left(x\right)^{4} - x \cosh\left(x\right)^{2} + {\left(6 \, x \cosh\left(x\right)^{2} - x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x \cosh\left(x\right)^{3} - x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 96 \, {\left(x^{2} \cosh\left(x\right)^{4} + 4 \, x^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + x^{2} \sinh\left(x\right)^{4} - x^{2} \cosh\left(x\right)^{2} + {\left(6 \, x^{2} \cosh\left(x\right)^{2} - x^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x^{2} \cosh\left(x\right)^{3} - x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 96 \, {\left(x^{2} \cosh\left(x\right)^{4} + 4 \, x^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + x^{2} \sinh\left(x\right)^{4} - x^{2} \cosh\left(x\right)^{2} + {\left(6 \, x^{2} \cosh\left(x\right)^{2} - x^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, x^{2} \cosh\left(x\right)^{3} - x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - 192 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 192 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + 2 \, {\left(3 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{5} + 2 \, {\left(12 \, x^{4} - 68 \, x^{3} + 6 \, x^{2} - 6 \, x + 3\right)} \cosh\left(x\right)^{3} - {\left(12 \, x^{4} + 4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 6 \, x + 3}{32 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/32*((4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^6 + 6*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)*sinh(x)^5 + (4*x^3 - 6*x^2 + 6*x - 3)*sinh(x)^6 + (12*x^4 - 68*x^3 + 6*x^2 - 6*x + 3)*cosh(x)^4 + (12*x^4 - 68*x^3 + 15*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^2 + 6*x^2 - 6*x + 3)*sinh(x)^4 + 4*(5*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^3 + (12*x^4 - 68*x^3 + 6*x^2 - 6*x + 3)*cosh(x))*sinh(x)^3 + 4*x^3 - (12*x^4 + 4*x^3 + 6*x^2 + 6*x + 3)*cosh(x)^2 + (15*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^4 - 12*x^4 - 4*x^3 + 6*(12*x^4 - 68*x^3 + 6*x^2 - 6*x + 3)*cosh(x)^2 - 6*x^2 - 6*x - 3)*sinh(x)^2 + 6*x^2 + 192*(x*cosh(x)^4 + 4*x*cosh(x)*sinh(x)^3 + x*sinh(x)^4 - x*cosh(x)^2 + (6*x*cosh(x)^2 - x)*sinh(x)^2 + 2*(2*x*cosh(x)^3 - x*cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 192*(x*cosh(x)^4 + 4*x*cosh(x)*sinh(x)^3 + x*sinh(x)^4 - x*cosh(x)^2 + (6*x*cosh(x)^2 - x)*sinh(x)^2 + 2*(2*x*cosh(x)^3 - x*cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + 96*(x^2*cosh(x)^4 + 4*x^2*cosh(x)*sinh(x)^3 + x^2*sinh(x)^4 - x^2*cosh(x)^2 + (6*x^2*cosh(x)^2 - x^2)*sinh(x)^2 + 2*(2*x^2*cosh(x)^3 - x^2*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 96*(x^2*cosh(x)^4 + 4*x^2*cosh(x)*sinh(x)^3 + x^2*sinh(x)^4 - x^2*cosh(x)^2 + (6*x^2*cosh(x)^2 - x^2)*sinh(x)^2 + 2*(2*x^2*cosh(x)^3 - x^2*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) - 192*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*polylog(3, cosh(x) + sinh(x)) - 192*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*polylog(3, -cosh(x) - sinh(x)) + 2*(3*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^5 + 2*(12*x^4 - 68*x^3 + 6*x^2 - 6*x + 3)*cosh(x)^3 - (12*x^4 + 4*x^3 + 6*x^2 + 6*x + 3)*cosh(x))*sinh(x) + 6*x + 3)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))","C",0
421,1,916,0,0.466386," ","integrate(x*cosh(x)^2*coth(x)^3,x, algorithm=""fricas"")","\frac{{\left(2 \, x - 1\right)} \cosh\left(x\right)^{8} + 8 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(2 \, x - 1\right)} \sinh\left(x\right)^{8} - 2 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{6} + 2 \, {\left(14 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{2} - 8 \, x^{2} - 2 \, x + 1\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 4 \, {\left(8 \, x^{2} - 7 \, x - 4\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{4} - 15 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{2} + 16 \, x^{2} - 14 \, x - 8\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{5} - 5 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{3} + 2 \, {\left(8 \, x^{2} - 7 \, x - 4\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(8 \, x^{2} + 2 \, x - 7\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{6} - 15 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{4} + 12 \, {\left(8 \, x^{2} - 7 \, x - 4\right)} \cosh\left(x\right)^{2} - 8 \, x^{2} - 2 \, x + 7\right)} \sinh\left(x\right)^{2} + 32 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 32 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 32 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 32 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 4 \, {\left(2 \, {\left(2 \, x - 1\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, x^{2} + 2 \, x - 1\right)} \cosh\left(x\right)^{5} + 4 \, {\left(8 \, x^{2} - 7 \, x - 4\right)} \cosh\left(x\right)^{3} - {\left(8 \, x^{2} + 2 \, x - 7\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, x + 1}{16 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/16*((2*x - 1)*cosh(x)^8 + 8*(2*x - 1)*cosh(x)*sinh(x)^7 + (2*x - 1)*sinh(x)^8 - 2*(8*x^2 + 2*x - 1)*cosh(x)^6 + 2*(14*(2*x - 1)*cosh(x)^2 - 8*x^2 - 2*x + 1)*sinh(x)^6 + 4*(14*(2*x - 1)*cosh(x)^3 - 3*(8*x^2 + 2*x - 1)*cosh(x))*sinh(x)^5 + 4*(8*x^2 - 7*x - 4)*cosh(x)^4 + 2*(35*(2*x - 1)*cosh(x)^4 - 15*(8*x^2 + 2*x - 1)*cosh(x)^2 + 16*x^2 - 14*x - 8)*sinh(x)^4 + 8*(7*(2*x - 1)*cosh(x)^5 - 5*(8*x^2 + 2*x - 1)*cosh(x)^3 + 2*(8*x^2 - 7*x - 4)*cosh(x))*sinh(x)^3 - 2*(8*x^2 + 2*x - 7)*cosh(x)^2 + 2*(14*(2*x - 1)*cosh(x)^6 - 15*(8*x^2 + 2*x - 1)*cosh(x)^4 + 12*(8*x^2 - 7*x - 4)*cosh(x)^2 - 8*x^2 - 2*x + 7)*sinh(x)^2 + 32*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 32*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + 32*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 32*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 4*(2*(2*x - 1)*cosh(x)^7 - 3*(8*x^2 + 2*x - 1)*cosh(x)^5 + 4*(8*x^2 - 7*x - 4)*cosh(x)^3 - (8*x^2 + 2*x - 7)*cosh(x))*sinh(x) + 2*x + 1)/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))","B",0
422,1,1512,0,0.590467," ","integrate(x^2*cosh(x)^2*coth(x)^3,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{8} + 24 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \sinh\left(x\right)^{8} - 2 \, {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)^{6} - 2 \, {\left(16 \, x^{3} - 42 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{2} + 6 \, x^{2} + 42 \, x + 3\right)} \sinh\left(x\right)^{6} + 12 \, {\left(14 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{3} - {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(32 \, x^{3} - 42 \, x^{2} + 48 \, x + 3\right)} \cosh\left(x\right)^{4} + 2 \, {\left(105 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{4} + 32 \, x^{3} - 15 \, {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)^{2} - 42 \, x^{2} + 48 \, x + 3\right)} \sinh\left(x\right)^{4} + 8 \, {\left(21 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{5} - 5 \, {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)^{3} + {\left(32 \, x^{3} - 42 \, x^{2} + 48 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(16 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)^{2} + 2 \, {\left(42 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{6} - 15 \, {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)^{4} - 16 \, x^{3} + 6 \, {\left(32 \, x^{3} - 42 \, x^{2} + 48 \, x + 3\right)} \cosh\left(x\right)^{2} - 6 \, x^{2} - 6 \, x - 3\right)} \sinh\left(x\right)^{2} + 6 \, x^{2} + 192 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 192 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 48 \, {\left({\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{2} + 1\right)} \sinh\left(x\right)^{6} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} - 4 \, x^{2} - 2\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + 2 \, x^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{5} - 4 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 48 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 96 \, {\left(x^{2} \cosh\left(x\right)^{6} + 6 \, x^{2} \cosh\left(x\right) \sinh\left(x\right)^{5} + x^{2} \sinh\left(x\right)^{6} - 2 \, x^{2} \cosh\left(x\right)^{4} + {\left(15 \, x^{2} \cosh\left(x\right)^{2} - 2 \, x^{2}\right)} \sinh\left(x\right)^{4} + x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(5 \, x^{2} \cosh\left(x\right)^{3} - 2 \, x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, x^{2} \cosh\left(x\right)^{4} - 12 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{5} - 4 \, x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - 192 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 192 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + 4 \, {\left(6 \, {\left(2 \, x^{2} - 2 \, x + 1\right)} \cosh\left(x\right)^{7} - 3 \, {\left(16 \, x^{3} + 6 \, x^{2} + 42 \, x + 3\right)} \cosh\left(x\right)^{5} + 2 \, {\left(32 \, x^{3} - 42 \, x^{2} + 48 \, x + 3\right)} \cosh\left(x\right)^{3} - {\left(16 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 6 \, x + 3}{48 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/48*(3*(2*x^2 - 2*x + 1)*cosh(x)^8 + 24*(2*x^2 - 2*x + 1)*cosh(x)*sinh(x)^7 + 3*(2*x^2 - 2*x + 1)*sinh(x)^8 - 2*(16*x^3 + 6*x^2 + 42*x + 3)*cosh(x)^6 - 2*(16*x^3 - 42*(2*x^2 - 2*x + 1)*cosh(x)^2 + 6*x^2 + 42*x + 3)*sinh(x)^6 + 12*(14*(2*x^2 - 2*x + 1)*cosh(x)^3 - (16*x^3 + 6*x^2 + 42*x + 3)*cosh(x))*sinh(x)^5 + 2*(32*x^3 - 42*x^2 + 48*x + 3)*cosh(x)^4 + 2*(105*(2*x^2 - 2*x + 1)*cosh(x)^4 + 32*x^3 - 15*(16*x^3 + 6*x^2 + 42*x + 3)*cosh(x)^2 - 42*x^2 + 48*x + 3)*sinh(x)^4 + 8*(21*(2*x^2 - 2*x + 1)*cosh(x)^5 - 5*(16*x^3 + 6*x^2 + 42*x + 3)*cosh(x)^3 + (32*x^3 - 42*x^2 + 48*x + 3)*cosh(x))*sinh(x)^3 - 2*(16*x^3 + 6*x^2 + 6*x + 3)*cosh(x)^2 + 2*(42*(2*x^2 - 2*x + 1)*cosh(x)^6 - 15*(16*x^3 + 6*x^2 + 42*x + 3)*cosh(x)^4 - 16*x^3 + 6*(32*x^3 - 42*x^2 + 48*x + 3)*cosh(x)^2 - 6*x^2 - 6*x - 3)*sinh(x)^2 + 6*x^2 + 192*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 192*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + 48*((2*x^2 + 1)*cosh(x)^6 + 6*(2*x^2 + 1)*cosh(x)*sinh(x)^5 + (2*x^2 + 1)*sinh(x)^6 - 2*(2*x^2 + 1)*cosh(x)^4 + (15*(2*x^2 + 1)*cosh(x)^2 - 4*x^2 - 2)*sinh(x)^4 + 4*(5*(2*x^2 + 1)*cosh(x)^3 - 2*(2*x^2 + 1)*cosh(x))*sinh(x)^3 + (2*x^2 + 1)*cosh(x)^2 + (15*(2*x^2 + 1)*cosh(x)^4 - 12*(2*x^2 + 1)*cosh(x)^2 + 2*x^2 + 1)*sinh(x)^2 + 2*(3*(2*x^2 + 1)*cosh(x)^5 - 4*(2*x^2 + 1)*cosh(x)^3 + (2*x^2 + 1)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 48*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 96*(x^2*cosh(x)^6 + 6*x^2*cosh(x)*sinh(x)^5 + x^2*sinh(x)^6 - 2*x^2*cosh(x)^4 + (15*x^2*cosh(x)^2 - 2*x^2)*sinh(x)^4 + x^2*cosh(x)^2 + 4*(5*x^2*cosh(x)^3 - 2*x^2*cosh(x))*sinh(x)^3 + (15*x^2*cosh(x)^4 - 12*x^2*cosh(x)^2 + x^2)*sinh(x)^2 + 2*(3*x^2*cosh(x)^5 - 4*x^2*cosh(x)^3 + x^2*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) - 192*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*polylog(3, cosh(x) + sinh(x)) - 192*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*polylog(3, -cosh(x) - sinh(x)) + 4*(6*(2*x^2 - 2*x + 1)*cosh(x)^7 - 3*(16*x^3 + 6*x^2 + 42*x + 3)*cosh(x)^5 + 2*(32*x^3 - 42*x^2 + 48*x + 3)*cosh(x)^3 - (16*x^3 + 6*x^2 + 6*x + 3)*cosh(x))*sinh(x) + 6*x + 3)/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))","C",0
423,1,2067,0,0.544832," ","integrate(x^3*cosh(x)^2*coth(x)^3,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{8} + 8 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \sinh\left(x\right)^{8} - 2 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{6} - 2 \, {\left(8 \, x^{4} + 4 \, x^{3} - 14 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{2} + 42 \, x^{2} + 6 \, x - 3\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 4 \, {\left(8 \, x^{4} - 14 \, x^{3} + 24 \, x^{2} + 3 \, x\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{4} + 16 \, x^{4} - 28 \, x^{3} - 15 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{2} + 48 \, x^{2} + 6 \, x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{5} - 5 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{3} + 2 \, {\left(8 \, x^{4} - 14 \, x^{3} + 24 \, x^{2} + 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, x^{3} - 2 \, {\left(8 \, x^{4} + 4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)^{2} + 2 \, {\left(14 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{6} - 15 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{4} - 8 \, x^{4} - 4 \, x^{3} + 12 \, {\left(8 \, x^{4} - 14 \, x^{3} + 24 \, x^{2} + 3 \, x\right)} \cosh\left(x\right)^{2} - 6 \, x^{2} - 6 \, x - 3\right)} \sinh\left(x\right)^{2} + 6 \, x^{2} + 96 \, {\left({\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{2} + 1\right)} \sinh\left(x\right)^{6} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} - 4 \, x^{2} - 2\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + 2 \, x^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{5} - 4 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 96 \, {\left({\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{2} + 1\right)} \sinh\left(x\right)^{6} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} - 4 \, x^{2} - 2\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{4} - 12 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{2} + 2 \, x^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{5} - 4 \, {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)^{3} + {\left(2 \, x^{2} + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 32 \, {\left({\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{3} + 3 \, x\right)} \sinh\left(x\right)^{6} - 2 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{4} - {\left(4 \, x^{3} - 15 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + 6 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{4} + 2 \, x^{3} - 12 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + 3 \, x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{5} - 4 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 32 \, {\left({\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, x^{3} + 3 \, x\right)} \sinh\left(x\right)^{6} - 2 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{4} - {\left(4 \, x^{3} - 15 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + 6 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{3} - 2 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + {\left(15 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{4} + 2 \, x^{3} - 12 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{2} + 3 \, x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{5} - 4 \, {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(2 \, x^{3} + 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 384 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(4, \cosh\left(x\right) + \sinh\left(x\right)\right) + 384 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(4, -\cosh\left(x\right) - \sinh\left(x\right)\right) - 384 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 384 \, {\left(x \cosh\left(x\right)^{6} + 6 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + x \sinh\left(x\right)^{6} - 2 \, x \cosh\left(x\right)^{4} + {\left(15 \, x \cosh\left(x\right)^{2} - 2 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, x \cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x \cosh\left(x\right)^{2} + {\left(15 \, x \cosh\left(x\right)^{4} - 12 \, x \cosh\left(x\right)^{2} + x\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{5} - 4 \, x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + 4 \, {\left(2 \, {\left(4 \, x^{3} - 6 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, x^{4} + 4 \, x^{3} + 42 \, x^{2} + 6 \, x - 3\right)} \cosh\left(x\right)^{5} + 4 \, {\left(8 \, x^{4} - 14 \, x^{3} + 24 \, x^{2} + 3 \, x\right)} \cosh\left(x\right)^{3} - {\left(8 \, x^{4} + 4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 6 \, x + 3}{32 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + {\left(15 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/32*((4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^8 + 8*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)*sinh(x)^7 + (4*x^3 - 6*x^2 + 6*x - 3)*sinh(x)^8 - 2*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x)^6 - 2*(8*x^4 + 4*x^3 - 14*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^2 + 42*x^2 + 6*x - 3)*sinh(x)^6 + 4*(14*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^3 - 3*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x))*sinh(x)^5 + 4*(8*x^4 - 14*x^3 + 24*x^2 + 3*x)*cosh(x)^4 + 2*(35*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^4 + 16*x^4 - 28*x^3 - 15*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x)^2 + 48*x^2 + 6*x)*sinh(x)^4 + 8*(7*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^5 - 5*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x)^3 + 2*(8*x^4 - 14*x^3 + 24*x^2 + 3*x)*cosh(x))*sinh(x)^3 + 4*x^3 - 2*(8*x^4 + 4*x^3 + 6*x^2 + 6*x + 3)*cosh(x)^2 + 2*(14*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^6 - 15*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x)^4 - 8*x^4 - 4*x^3 + 12*(8*x^4 - 14*x^3 + 24*x^2 + 3*x)*cosh(x)^2 - 6*x^2 - 6*x - 3)*sinh(x)^2 + 6*x^2 + 96*((2*x^2 + 1)*cosh(x)^6 + 6*(2*x^2 + 1)*cosh(x)*sinh(x)^5 + (2*x^2 + 1)*sinh(x)^6 - 2*(2*x^2 + 1)*cosh(x)^4 + (15*(2*x^2 + 1)*cosh(x)^2 - 4*x^2 - 2)*sinh(x)^4 + 4*(5*(2*x^2 + 1)*cosh(x)^3 - 2*(2*x^2 + 1)*cosh(x))*sinh(x)^3 + (2*x^2 + 1)*cosh(x)^2 + (15*(2*x^2 + 1)*cosh(x)^4 - 12*(2*x^2 + 1)*cosh(x)^2 + 2*x^2 + 1)*sinh(x)^2 + 2*(3*(2*x^2 + 1)*cosh(x)^5 - 4*(2*x^2 + 1)*cosh(x)^3 + (2*x^2 + 1)*cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 96*((2*x^2 + 1)*cosh(x)^6 + 6*(2*x^2 + 1)*cosh(x)*sinh(x)^5 + (2*x^2 + 1)*sinh(x)^6 - 2*(2*x^2 + 1)*cosh(x)^4 + (15*(2*x^2 + 1)*cosh(x)^2 - 4*x^2 - 2)*sinh(x)^4 + 4*(5*(2*x^2 + 1)*cosh(x)^3 - 2*(2*x^2 + 1)*cosh(x))*sinh(x)^3 + (2*x^2 + 1)*cosh(x)^2 + (15*(2*x^2 + 1)*cosh(x)^4 - 12*(2*x^2 + 1)*cosh(x)^2 + 2*x^2 + 1)*sinh(x)^2 + 2*(3*(2*x^2 + 1)*cosh(x)^5 - 4*(2*x^2 + 1)*cosh(x)^3 + (2*x^2 + 1)*cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + 32*((2*x^3 + 3*x)*cosh(x)^6 + 6*(2*x^3 + 3*x)*cosh(x)*sinh(x)^5 + (2*x^3 + 3*x)*sinh(x)^6 - 2*(2*x^3 + 3*x)*cosh(x)^4 - (4*x^3 - 15*(2*x^3 + 3*x)*cosh(x)^2 + 6*x)*sinh(x)^4 + 4*(5*(2*x^3 + 3*x)*cosh(x)^3 - 2*(2*x^3 + 3*x)*cosh(x))*sinh(x)^3 + (2*x^3 + 3*x)*cosh(x)^2 + (15*(2*x^3 + 3*x)*cosh(x)^4 + 2*x^3 - 12*(2*x^3 + 3*x)*cosh(x)^2 + 3*x)*sinh(x)^2 + 2*(3*(2*x^3 + 3*x)*cosh(x)^5 - 4*(2*x^3 + 3*x)*cosh(x)^3 + (2*x^3 + 3*x)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 32*((2*x^3 + 3*x)*cosh(x)^6 + 6*(2*x^3 + 3*x)*cosh(x)*sinh(x)^5 + (2*x^3 + 3*x)*sinh(x)^6 - 2*(2*x^3 + 3*x)*cosh(x)^4 - (4*x^3 - 15*(2*x^3 + 3*x)*cosh(x)^2 + 6*x)*sinh(x)^4 + 4*(5*(2*x^3 + 3*x)*cosh(x)^3 - 2*(2*x^3 + 3*x)*cosh(x))*sinh(x)^3 + (2*x^3 + 3*x)*cosh(x)^2 + (15*(2*x^3 + 3*x)*cosh(x)^4 + 2*x^3 - 12*(2*x^3 + 3*x)*cosh(x)^2 + 3*x)*sinh(x)^2 + 2*(3*(2*x^3 + 3*x)*cosh(x)^5 - 4*(2*x^3 + 3*x)*cosh(x)^3 + (2*x^3 + 3*x)*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 384*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*polylog(4, cosh(x) + sinh(x)) + 384*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))*polylog(4, -cosh(x) - sinh(x)) - 384*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*polylog(3, cosh(x) + sinh(x)) - 384*(x*cosh(x)^6 + 6*x*cosh(x)*sinh(x)^5 + x*sinh(x)^6 - 2*x*cosh(x)^4 + (15*x*cosh(x)^2 - 2*x)*sinh(x)^4 + 4*(5*x*cosh(x)^3 - 2*x*cosh(x))*sinh(x)^3 + x*cosh(x)^2 + (15*x*cosh(x)^4 - 12*x*cosh(x)^2 + x)*sinh(x)^2 + 2*(3*x*cosh(x)^5 - 4*x*cosh(x)^3 + x*cosh(x))*sinh(x))*polylog(3, -cosh(x) - sinh(x)) + 4*(2*(4*x^3 - 6*x^2 + 6*x - 3)*cosh(x)^7 - 3*(8*x^4 + 4*x^3 + 42*x^2 + 6*x - 3)*cosh(x)^5 + 4*(8*x^4 - 14*x^3 + 24*x^2 + 3*x)*cosh(x)^3 - (8*x^4 + 4*x^3 + 6*x^2 + 6*x + 3)*cosh(x))*sinh(x) + 6*x + 3)/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^2 - 2)*sinh(x)^4 - 2*cosh(x)^4 + 4*(5*cosh(x)^3 - 2*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 12*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(3*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*sinh(x))","C",0
424,0,0,0,0.486626," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)*csch(b*x + a)^2, x)","F",0
425,1,551,0,0.426133," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, b^{3} x^{3} \cosh\left(b x + a\right) + 2 \, b^{3} x^{3} \sinh\left(b x + a\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 3 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 3 \, {\left(b^{2} x^{2} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\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)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\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)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} - b^{4}}"," ",0,"-(2*b^3*x^3*cosh(b*x + a) + 2*b^3*x^3*sinh(b*x + a) - 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 3*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 - b^2*x^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 3*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 3*(b^2*x^2 - (b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 - b^4)","C",0
426,1,367,0,0.492923," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} - b x - a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)\right)}}{b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} - b^{3}}"," ",0,"-2*(b^2*x^2*cosh(b*x + a) + b^2*x^2*sinh(b*x + a) - (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) + (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 - a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 - b*x - a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 - b^3)","B",0
427,1,169,0,0.508916," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(b x + a\right) + 2 \, b x \sinh\left(b x + a\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) - {\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)}{b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} - b^{2}}"," ",0,"-(2*b*x*cosh(b*x + a) + 2*b*x*sinh(b*x + a) + (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))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 - b^2)","B",0
428,1,56,0,0.452723," ","integrate(cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*(cosh(b*x + a) + 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
429,0,0,0,0.503996," ","integrate(cosh(b*x+a)*csch(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^2/x, x)","F",0
430,0,0,0,0.511530," ","integrate(cosh(b*x+a)*csch(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^2/x^2, x)","F",0
431,0,0,0,0.460189," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)^2*csch(b*x + a)^2, x)","F",0
432,1,632,0,0.499148," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{4} x^{4} - 8 \, a^{3} - {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} - 8 \, a^{3}\right)} \sinh\left(b x + a\right)^{2} - 24 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 24 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 12 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 12 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 12 \, {\left(b^{2} x^{2} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 24 \, {\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)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 24 \, {\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)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{4 \, {\left(b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} - b^{4}\right)}}"," ",0,"-1/4*(b^4*x^4 - 8*a^3 - (b^4*x^4 - 8*b^3*x^3 - 8*a^3)*cosh(b*x + a)^2 - 2*(b^4*x^4 - 8*b^3*x^3 - 8*a^3)*cosh(b*x + a)*sinh(b*x + a) - (b^4*x^4 - 8*b^3*x^3 - 8*a^3)*sinh(b*x + a)^2 - 24*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 24*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 12*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 - b^2*x^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 12*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 12*(b^2*x^2 - (b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 24*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 24*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 - b^4)","C",0
433,1,453,0,0.536372," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{3} x^{3} - {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 \, a^{2} - 6 \, {\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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 6 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} - b x - a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)}{3 \, {\left(b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} - b^{3}\right)}}"," ",0,"-1/3*(b^3*x^3 - (b^3*x^3 - 6*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 6*b^2*x^2 + 6*a^2)*cosh(b*x + a)*sinh(b*x + a) - (b^3*x^3 - 6*b^2*x^2 + 6*a^2)*sinh(b*x + a)^2 + 6*a^2 - 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 6*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 - a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 6*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 - b*x - a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 - b^3)","B",0
434,1,189,0,0.457173," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{2} x^{2} - {\left(b^{2} x^{2} - 4 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 4 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} - 4 \, b x\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\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(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} - b^{2}\right)}}"," ",0,"-1/2*(b^2*x^2 - (b^2*x^2 - 4*b*x)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 4*b*x)*cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2 - 4*b*x)*sinh(b*x + a)^2 - 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 - b^2)","B",0
435,1,33,0,0.399383," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)}{b \sinh\left(b x + a\right)}"," ",0,"((b*x + 1)*sinh(b*x + a) - cosh(b*x + a))/(b*sinh(b*x + a))","B",0
436,0,0,0,0.410691," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^2/x, x)","F",0
437,0,0,0,0.411378," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^2/x^2, x)","F",0
438,0,0,0,1.021288," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)^3*csch(b*x + a)^2, x)","F",0
439,1,1055,0,0.431984," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{3} x^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \sinh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} - 6 \, {\left(b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - 6 \, {\left(b^{3} x^{3} - {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 12 \, {\left(b x \cosh\left(b x + a\right)^{3} + 3 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right) + {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 12 \, {\left(b x \cosh\left(b x + a\right)^{3} + 3 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right) + {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 6 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} + 3 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{2} x^{2} \sinh\left(b x + a\right)^{3} - b^{2} x^{2} \cosh\left(b x + a\right) + {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(a^{2} \cosh\left(b x + a\right)^{3} + 3 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + a^{2} \sinh\left(b x + a\right)^{3} - a^{2} \cosh\left(b x + a\right) + {\left(3 \, a^{2} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 6 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) - {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 12 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 12 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} \cosh\left(b x + a\right)^{3} - 3 \, {\left(b^{3} x^{3} + 2 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + 3 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{4} \sinh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right) + {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(b^3*x^3 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^4 + 4*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*sinh(b*x + a)^4 + 3*b^2*x^2 - 6*(b^3*x^3 + 2*b*x)*cosh(b*x + a)^2 - 6*(b^3*x^3 - (b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^2 + 2*b*x)*sinh(b*x + a)^2 + 6*b*x + 12*(b*x*cosh(b*x + a)^3 + 3*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + b*x*sinh(b*x + a)^3 - b*x*cosh(b*x + a) + (3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 12*(b*x*cosh(b*x + a)^3 + 3*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + b*x*sinh(b*x + a)^3 - b*x*cosh(b*x + a) + (3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 6*(b^2*x^2*cosh(b*x + a)^3 + 3*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^2 + b^2*x^2*sinh(b*x + a)^3 - b^2*x^2*cosh(b*x + a) + (3*b^2*x^2*cosh(b*x + a)^2 - b^2*x^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 6*(a^2*cosh(b*x + a)^3 + 3*a^2*cosh(b*x + a)*sinh(b*x + a)^2 + a^2*sinh(b*x + a)^3 - a^2*cosh(b*x + a) + (3*a^2*cosh(b*x + a)^2 - a^2)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 6*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^2 + (b^2*x^2 - a^2)*sinh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a) - (b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 12*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 12*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*((b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*cosh(b*x + a)^3 - 3*(b^3*x^3 + 2*b*x)*cosh(b*x + a))*sinh(b*x + a) + 6)/(b^4*cosh(b*x + a)^3 + 3*b^4*cosh(b*x + a)*sinh(b*x + a)^2 + b^4*sinh(b*x + a)^3 - b^4*cosh(b*x + a) + (3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a))","C",0
440,1,731,0,0.442199," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(3 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(3 \, b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, b x + 4 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 4 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + 3 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b x \sinh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right) + {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 4 \, {\left(a \cosh\left(b x + a\right)^{3} + 3 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + a \sinh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right) + {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right) + {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(b^{2} x^{2} - 2 \, b x + 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + 3 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{3} \sinh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right) + {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 2*b*x + 2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(3*b^2*x^2 + 2)*cosh(b*x + a)^2 - 2*(3*b^2*x^2 - 3*(b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 2*b*x + 4*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 4*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 4*(b*x*cosh(b*x + a)^3 + 3*b*x*cosh(b*x + a)*sinh(b*x + a)^2 + b*x*sinh(b*x + a)^3 - b*x*cosh(b*x + a) + (3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 4*(a*cosh(b*x + a)^3 + 3*a*cosh(b*x + a)*sinh(b*x + a)^2 + a*sinh(b*x + a)^3 - a*cosh(b*x + a) + (3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 4*((b*x + a)*cosh(b*x + a)^3 + 3*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^2 + (b*x + a)*sinh(b*x + a)^3 - (b*x + a)*cosh(b*x + a) + (3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 4*((b^2*x^2 - 2*b*x + 2)*cosh(b*x + a)^3 - (3*b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)/(b^3*cosh(b*x + a)^3 + 3*b^3*cosh(b*x + a)*sinh(b*x + a)^2 + b^3*sinh(b*x + a)^3 - b^3*cosh(b*x + a) + (3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a))","B",0
441,1,367,0,0.416713," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x - 1\right)} \sinh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} + 6 \, {\left({\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x - 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} + {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - \cosh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 4 \, {\left({\left(b x - 1\right)} \cosh\left(b x + a\right)^{3} - 3 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} + 3 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{2} \sinh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right) + {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*((b*x - 1)*cosh(b*x + a)^4 + 4*(b*x - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x - 1)*sinh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 + 6*((b*x - 1)*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x - 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + (3*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - cosh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 4*((b*x - 1)*cosh(b*x + a)^3 - 3*b*x*cosh(b*x + a))*sinh(b*x + a) + 1)/(b^2*cosh(b*x + a)^3 + 3*b^2*cosh(b*x + a)*sinh(b*x + a)^2 + b^2*sinh(b*x + a)^3 - b^2*cosh(b*x + a) + (3*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a))","B",0
442,1,31,0,0.400708," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{2} - 3}{2 \, b \sinh\left(b x + a\right)}"," ",0,"1/2*(cosh(b*x + a)^2 + sinh(b*x + a)^2 - 3)/(b*sinh(b*x + a))","A",0
443,0,0,0,0.401018," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^2/x, x)","F",0
444,0,0,0,0.392027," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^2/x^2, x)","F",0
445,0,0,0,0.405716," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)*csch(b*x + a)^3, x)","F",0
446,1,979,0,0.429840," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 18 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, a^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 3 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 3 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 3 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(3*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 12*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(b^2*x^2 - a^2)*sinh(b*x + a)^4 + (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 + (2*b^3*x^3 - 3*b^2*x^2 + 18*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 6*a^2)*sinh(b*x + a)^2 - 3*a^2 - 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 3*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 3*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(6*(b^2*x^2 - a^2)*cosh(b*x + a)^3 + (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","B",0
447,1,383,0,0.414973," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(b x + a\right)^{4} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, b x \sinh\left(b x + a\right)^{4} + 2 \, {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(2 \, b x \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(2*b*x*cosh(b*x + a)^4 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + 2*b*x*sinh(b*x + a)^4 + 2*(b^2*x^2 - b*x)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(2*b*x*cosh(b*x + a)^3 + (b^2*x^2 - b*x)*cosh(b*x + a))*sinh(b*x + a))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","B",0
448,1,107,0,0.394782," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b x \cosh\left(b x + a\right) + {\left(b x + 1\right)} \sinh\left(b x + a\right)\right)}}{b^{2} \cosh\left(b x + a\right)^{3} + 3 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b^{2} \sinh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right) + 3 \, {\left(b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)}"," ",0,"-2*(b*x*cosh(b*x + a) + (b*x + 1)*sinh(b*x + a))/(b^2*cosh(b*x + a)^3 + 3*b^2*cosh(b*x + a)*sinh(b*x + a)^2 + b^2*sinh(b*x + a)^3 - b^2*cosh(b*x + a) + 3*(b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a))","B",0
449,1,86,0,0.390945," ","integrate(cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b x + a\right) + \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) + 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
450,0,0,0,0.410622," ","integrate(cosh(b*x+a)*csch(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^3/x, x)","F",0
451,0,0,0,0.414649," ","integrate(cosh(b*x+a)*csch(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^3/x^2, x)","F",0
452,0,0,0,0.410189," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)^2*csch(b*x + a)^3, x)","F",0
453,1,1802,0,0.455130," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right) - 3 \, {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + 6 \, b x\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 3 \, {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{2} + 6 \, b x\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 4 \, {\left({\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + 6 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left({\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} + 6 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(a^{3} - 3 \, {\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right)^{2} + 6 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{3} + 6 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} + 6 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{2} + 6 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 \, a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 3 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^3 + 6*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^3*x^3 + 3*b^2*x^2)*sinh(b*x + a)^3 + 2*(b^3*x^3 - 3*b^2*x^2)*cosh(b*x + a) - 3*((b^2*x^2 + 2)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 2)*cosh(b*x + a)^3 - (b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 3*((b^2*x^2 + 2)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 2)*cosh(b*x + a)^3 - (b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b^3*x^3 + (b^3*x^3 + 6*b*x)*cosh(b*x + a)^4 + 4*(b^3*x^3 + 6*b*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + 6*b*x)*sinh(b*x + a)^4 - 2*(b^3*x^3 + 6*b*x)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 3*(b^3*x^3 + 6*b*x)*cosh(b*x + a)^2 + 6*b*x)*sinh(b*x + a)^2 + 6*b*x + 4*((b^3*x^3 + 6*b*x)*cosh(b*x + a)^3 - (b^3*x^3 + 6*b*x)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + ((a^3 + 6*a)*cosh(b*x + a)^4 + 4*(a^3 + 6*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 + 6*a)*sinh(b*x + a)^4 + a^3 - 2*(a^3 + 6*a)*cosh(b*x + a)^2 - 2*(a^3 - 3*(a^3 + 6*a)*cosh(b*x + a)^2 + 6*a)*sinh(b*x + a)^2 + 4*((a^3 + 6*a)*cosh(b*x + a)^3 - (a^3 + 6*a)*cosh(b*x + a))*sinh(b*x + a) + 6*a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (b^3*x^3 + (b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 + 6*b*x + 6*a)*sinh(b*x + a)^4 + a^3 - 2*(b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a)^2 - 2*(b^3*x^3 + a^3 - 3*(b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a)^2 + 6*b*x + 6*a)*sinh(b*x + a)^2 + 6*b*x + 4*((b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a)^3 - (b^3*x^3 + a^3 + 6*b*x + 6*a)*cosh(b*x + a))*sinh(b*x + a) + 6*a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(b^3*x^3 - 3*b^2*x^2 + 3*(b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^2)*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
454,1,1311,0,0.448769," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b^{2} x^{2} - 2 \, b x\right)} \cosh\left(b x + a\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 2\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left({\left(a^{2} + 2\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} + 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} + 2\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(a^{2} + 2\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + 2\right)} \cosh\left(b x + a\right)^{2} - a^{2} - 2\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} + 2\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{2} + 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^2*x^2 + 2*b*x)*cosh(b*x + a)^3 + 6*(b^2*x^2 + 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^2*x^2 + 2*b*x)*sinh(b*x + a)^3 + 2*(b^2*x^2 - 2*b*x)*cosh(b*x + a) - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) + 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) + ((b^2*x^2 + 2)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 2)*cosh(b*x + a)^3 - (b^2*x^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - ((a^2 + 2)*cosh(b*x + a)^4 + 4*(a^2 + 2)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 + 2)*sinh(b*x + a)^4 - 2*(a^2 + 2)*cosh(b*x + a)^2 + 2*(3*(a^2 + 2)*cosh(b*x + a)^2 - a^2 - 2)*sinh(b*x + a)^2 + a^2 + 4*((a^2 + 2)*cosh(b*x + a)^3 - (a^2 + 2)*cosh(b*x + a))*sinh(b*x + a) + 2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(b^2*x^2 + 3*(b^2*x^2 + 2*b*x)*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
455,1,842,0,0.433018," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b x + 1\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b x + 1\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(3 \, {\left(b x + 1\right)} \cosh\left(b x + a\right)^{2} + b x - 1\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b*x + 1)*cosh(b*x + a)^3 + 6*(b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b*x + 1)*sinh(b*x + a)^3 + 2*(b*x - 1)*cosh(b*x + a) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(3*(b*x + 1)*cosh(b*x + a)^2 + b*x - 1)*sinh(b*x + a))/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 - 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
456,1,387,0,0.400611," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, \sinh\left(b x + a\right)^{3} + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 2 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/2*(2*cosh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^2 + 2*sinh(b*x + a)^3 + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 2*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
457,0,0,0,0.423028," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^3/x, x)","F",0
458,0,0,0,0.404864," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^3/x^2, x)","F",0
459,0,0,0,0.396050," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*cosh(b*x + a)^3*csch(b*x + a)^3, x)","F",0
460,1,1985,0,0.448079," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b^{4} x^{4} + {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - 2 \, a^{4} - 2 \, {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} - 3 \, {\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 12 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 12 \, a^{2} - 12 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 12 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 4 \, {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + 3 \, b x\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 3 \, {\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x\right)} \sinh\left(b x + a\right)^{2} + 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + 3 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(a^{3} - 3 \, {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{3} + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 4 \, {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x + 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3} + 3 \, b x + 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 \, a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 24 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 24 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 24 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 24 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{4} x^{4} - 2 \, a^{4} + 12 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{4} x^{4} - 4 \, b^{3} x^{3} - 2 \, a^{4} + 6 \, b^{2} x^{2} - 12 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{4 \, {\left(b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/4*(b^4*x^4 + (b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^4 + 4*(b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*sinh(b*x + a)^4 - 2*a^4 - 2*(b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 - 12*a^2)*cosh(b*x + a)^2 - 2*(b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 - 3*(b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^2 - 12*a^2)*sinh(b*x + a)^2 - 12*a^2 - 12*((b^2*x^2 + 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 1)*cosh(b*x + a)^3 - (b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 12*((b^2*x^2 + 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 1)*cosh(b*x + a)^3 - (b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 4*(b^3*x^3 + (b^3*x^3 + 3*b*x)*cosh(b*x + a)^4 + 4*(b^3*x^3 + 3*b*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + 3*b*x)*sinh(b*x + a)^4 - 2*(b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 3*(b^3*x^3 + 3*b*x)*cosh(b*x + a)^2 + 3*b*x)*sinh(b*x + a)^2 + 3*b*x + 4*((b^3*x^3 + 3*b*x)*cosh(b*x + a)^3 - (b^3*x^3 + 3*b*x)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 4*((a^3 + 3*a)*cosh(b*x + a)^4 + 4*(a^3 + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 + 3*a)*sinh(b*x + a)^4 + a^3 - 2*(a^3 + 3*a)*cosh(b*x + a)^2 - 2*(a^3 - 3*(a^3 + 3*a)*cosh(b*x + a)^2 + 3*a)*sinh(b*x + a)^2 + 4*((a^3 + 3*a)*cosh(b*x + a)^3 - (a^3 + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 4*(b^3*x^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 + 3*b*x + 3*a)*sinh(b*x + a)^4 + a^3 - 2*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 - 2*(b^3*x^3 + a^3 - 3*(b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^2 + 3*b*x + 3*a)*sinh(b*x + a)^2 + 3*b*x + 4*((b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a)^3 - (b^3*x^3 + a^3 + 3*b*x + 3*a)*cosh(b*x + a))*sinh(b*x + a) + 3*a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 24*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 24*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) + 24*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 24*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*((b^4*x^4 - 2*a^4 + 12*b^2*x^2 - 12*a^2)*cosh(b*x + a)^3 - (b^4*x^4 - 4*b^3*x^3 - 2*a^4 + 6*b^2*x^2 - 12*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
461,1,1467,0,0.432618," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b^{3} x^{3} + {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{4} + 2 \, a^{3} - 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} + 3 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} - 3 \, {\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x + 6 \, a\right)} \sinh\left(b x + a\right)^{2} - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 3 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} + 1\right)} \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({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{2} - a^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} + 1\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{2} + 1\right)} \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({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left({\left(b^{3} x^{3} + 2 \, a^{3} + 6 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 2 \, a^{3} + 3 \, b x + 6 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 \, a}{3 \, {\left(b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/3*(b^3*x^3 + (b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*sinh(b*x + a)^4 + 2*a^3 - 2*(b^3*x^3 - 3*b^2*x^2 + 2*a^3 + 3*b*x + 6*a)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 3*b^2*x^2 + 2*a^3 - 3*(b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^2 + 3*b*x + 6*a)*sinh(b*x + a)^2 - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 3*((b^2*x^2 + 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 + 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 + 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 + 1)*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 + 1)*cosh(b*x + a)^3 - (b^2*x^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 3*((a^2 + 1)*cosh(b*x + a)^4 + 4*(a^2 + 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 + 1)*sinh(b*x + a)^4 - 2*(a^2 + 1)*cosh(b*x + a)^2 + 2*(3*(a^2 + 1)*cosh(b*x + a)^2 - a^2 - 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 + 1)*cosh(b*x + a)^3 - (a^2 + 1)*cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*((b^3*x^3 + 2*a^3 + 6*b*x + 6*a)*cosh(b*x + a)^3 - (b^3*x^3 - 3*b^2*x^2 + 2*a^3 + 3*b*x + 6*a)*cosh(b*x + a))*sinh(b*x + a) + 6*a)/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
462,1,975,0,0.430808," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, a^{2} - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 2 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 4 \, {\left({\left(b^{2} x^{2} - 2 \, a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - 2 \, a^{2} - 2 \, b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*((b^2*x^2 - 2*a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 2*a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 2*a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - 2*a^2 - 2*b*x - 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - 2*a^2)*cosh(b*x + a)^2 - 2*a^2 - 2*b*x - 1)*sinh(b*x + a)^2 - 2*a^2 - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*(a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 2*((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 4*((b^2*x^2 - 2*a^2)*cosh(b*x + a)^3 - (b^2*x^2 - 2*a^2 - 2*b*x - 1)*cosh(b*x + a))*sinh(b*x + a) - 2)/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 - 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
463,1,346,0,0.423408," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x + 1\right)} \sinh\left(b x + a\right)^{2} + b x - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - {\left(b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*(b*x - 1)*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x + 1)*sinh(b*x + a)^2 + b*x - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(b*x*cosh(b*x + a)^3 - (b*x - 1)*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
464,0,0,0,0.400775," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^3/x, x)","F",0
465,0,0,0,0.407650," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^3/x^2, x)","F",0
466,0,0,0,0.409368," ","integrate(x^m*csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right), x\right)"," ",0,"integral(x^m*csch(b*x + a)*sech(b*x + a), x)","F",0
467,1,448,0,0.443704," ","integrate(x^3*csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","\frac{b^{3} x^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, b^{2} x^{2} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 3 \, b^{2} x^{2} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - a^{3} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 6 \, b x {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, b x {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, b x {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, b x {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{3} x^{3} + a^{3}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(b^{3} x^{3} + a^{3}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} x^{3} + a^{3}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4}}"," ",0,"(b^3*x^3*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*b^2*x^2*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*b^2*x^2*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 3*b^2*x^2*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 3*b^2*x^2*dilog(-cosh(b*x + a) - sinh(b*x + a)) + a^3*log(cosh(b*x + a) + sinh(b*x + a) + I) + a^3*log(cosh(b*x + a) + sinh(b*x + a) - I) - a^3*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 6*b*x*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*b*x*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*b*x*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*b*x*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) - (b^3*x^3 + a^3)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (b^3*x^3 + a^3)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b^3*x^3 + a^3)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 6*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*polylog(4, -cosh(b*x + a) - sinh(b*x + a)))/b^4","C",0
468,1,351,0,0.435353," ","integrate(x^2*csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} x^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 2 \, b x {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, b x {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 2 \, b x {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, b x {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + a^{2} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(b^{2} x^{2} - a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(b^{2} x^{2} - a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{2} x^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 2 \, {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 2 \, {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{3}}"," ",0,"(b^2*x^2*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 2*b*x*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*b*x*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 2*b*x*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*b*x*dilog(-cosh(b*x + a) - sinh(b*x + a)) - a^2*log(cosh(b*x + a) + sinh(b*x + a) + I) - a^2*log(cosh(b*x + a) + sinh(b*x + a) - I) + a^2*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (b^2*x^2 - a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (b^2*x^2 - a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b^2*x^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 2*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 2*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 2*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/b^3","C",0
469,1,224,0,0.432106," ","integrate(x*csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","\frac{b x \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - a \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(b x + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(b x + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b x + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{2}}"," ",0,"(b*x*log(cosh(b*x + a) + sinh(b*x + a) + 1) + a*log(cosh(b*x + a) + sinh(b*x + a) + I) + a*log(cosh(b*x + a) + sinh(b*x + a) - I) - a*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (b*x + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (b*x + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b*x + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + dilog(cosh(b*x + a) + sinh(b*x + a)) - dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + dilog(-cosh(b*x + a) - sinh(b*x + a)))/b^2","C",0
470,1,60,0,0.412187," ","integrate(csch(b*x+a)*sech(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) - \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*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) - log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
471,0,0,0,0.404002," ","integrate(csch(b*x+a)*sech(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)/x, x)","F",0
472,0,0,0,0.387133," ","integrate(csch(b*x+a)*sech(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)/x^2, x)","F",0
473,0,0,0,0.402475," ","integrate(x^m*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*csch(b*x + a)*sech(b*x + a)^2, x)","F",0
474,1,1270,0,0.459397," ","integrate(x^3*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} \cosh\left(b x + a\right) + 2 \, b^{3} x^{3} \sinh\left(b x + a\right) + 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(-6 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, b x \sinh\left(b x + a\right)^{2} - 6 i \, b x\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(6 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, b x \sinh\left(b x + a\right)^{2} + 6 i \, b x\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{3} x^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} x^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} x^{3} \sinh\left(b x + a\right)^{2} + b^{3} x^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(-3 i \, a^{2} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 3 i \, a^{2} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(3 i \, a^{2} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 3 i \, a^{2} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(a^{3} \cosh\left(b x + a\right)^{2} + 2 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{3} \sinh\left(b x + a\right)^{2} + a^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(3 i \, b^{2} x^{2} + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(-3 i \, b^{2} x^{2} + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} x^{3} + a^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\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)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\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)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(6 i \, \cosh\left(b x + a\right)^{2} + 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, \sinh\left(b x + a\right)^{2} + 6 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-6 i \, \cosh\left(b x + a\right)^{2} - 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, \sinh\left(b x + a\right)^{2} - 6 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} + b^{4}}"," ",0,"(2*b^3*x^3*cosh(b*x + a) + 2*b^3*x^3*sinh(b*x + a) + 3*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 + b^2*x^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + (-6*I*b*x*cosh(b*x + a)^2 - 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) - 6*I*b*x*sinh(b*x + a)^2 - 6*I*b*x)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (6*I*b*x*cosh(b*x + a)^2 + 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) + 6*I*b*x*sinh(b*x + a)^2 + 6*I*b*x)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 3*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 + b^2*x^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^3*x^3*cosh(b*x + a)^2 + 2*b^3*x^3*cosh(b*x + a)*sinh(b*x + a) + b^3*x^3*sinh(b*x + a)^2 + b^3*x^3)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (-3*I*a^2*cosh(b*x + a)^2 - 6*I*a^2*cosh(b*x + a)*sinh(b*x + a) - 3*I*a^2*sinh(b*x + a)^2 - 3*I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (3*I*a^2*cosh(b*x + a)^2 + 6*I*a^2*cosh(b*x + a)*sinh(b*x + a) + 3*I*a^2*sinh(b*x + a)^2 + 3*I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (a^3*cosh(b*x + a)^2 + 2*a^3*cosh(b*x + a)*sinh(b*x + a) + a^3*sinh(b*x + a)^2 + a^3)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (3*I*b^2*x^2 + (3*I*b^2*x^2 - 3*I*a^2)*cosh(b*x + a)^2 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (3*I*b^2*x^2 - 3*I*a^2)*sinh(b*x + a)^2 - 3*I*a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (-3*I*b^2*x^2 + (-3*I*b^2*x^2 + 3*I*a^2)*cosh(b*x + a)^2 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (-3*I*b^2*x^2 + 3*I*a^2)*sinh(b*x + a)^2 + 3*I*a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b^3*x^3 + a^3 + (b^3*x^3 + a^3)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a) + (b^3*x^3 + a^3)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + (6*I*cosh(b*x + a)^2 + 12*I*cosh(b*x + a)*sinh(b*x + a) + 6*I*sinh(b*x + a)^2 + 6*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (-6*I*cosh(b*x + a)^2 - 12*I*cosh(b*x + a)*sinh(b*x + a) - 6*I*sinh(b*x + a)^2 - 6*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 + b^4)","C",0
475,1,929,0,0.454520," ","integrate(x^2*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} x^{2} \cosh\left(b x + a\right) + 2 \, b^{2} x^{2} \sinh\left(b x + a\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(-2 i \, \cosh\left(b x + a\right)^{2} - 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, \sinh\left(b x + a\right)^{2} - 2 i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(2 i \, \cosh\left(b x + a\right)^{2} + 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, \sinh\left(b x + a\right)^{2} + 2 i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(2 i \, a \cosh\left(b x + a\right)^{2} + 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, a \sinh\left(b x + a\right)^{2} + 2 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-2 i \, a \cosh\left(b x + a\right)^{2} - 4 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, a \sinh\left(b x + a\right)^{2} - 2 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} + a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(2 i \, b x + 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(2 i \, b x + 2 i \, a\right)} \sinh\left(b x + a\right)^{2} + 2 i \, b x + 2 i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(-2 i \, b x - 2 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-2 i \, b x - 2 i \, a\right)} \sinh\left(b x + a\right)^{2} - 2 i \, b x - 2 i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{2} x^{2} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 2 \, {\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)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\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)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} + b^{3}}"," ",0,"(2*b^2*x^2*cosh(b*x + a) + 2*b^2*x^2*sinh(b*x + a) + 2*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*dilog(cosh(b*x + a) + sinh(b*x + a)) + (-2*I*cosh(b*x + a)^2 - 4*I*cosh(b*x + a)*sinh(b*x + a) - 2*I*sinh(b*x + a)^2 - 2*I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (2*I*cosh(b*x + a)^2 + 4*I*cosh(b*x + a)*sinh(b*x + a) + 2*I*sinh(b*x + a)^2 + 2*I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 + b^2*x^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (2*I*a*cosh(b*x + a)^2 + 4*I*a*cosh(b*x + a)*sinh(b*x + a) + 2*I*a*sinh(b*x + a)^2 + 2*I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-2*I*a*cosh(b*x + a)^2 - 4*I*a*cosh(b*x + a)*sinh(b*x + a) - 2*I*a*sinh(b*x + a)^2 - 2*I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 + a^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((2*I*b*x + 2*I*a)*cosh(b*x + a)^2 + (4*I*b*x + 4*I*a)*cosh(b*x + a)*sinh(b*x + a) + (2*I*b*x + 2*I*a)*sinh(b*x + a)^2 + 2*I*b*x + 2*I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((-2*I*b*x - 2*I*a)*cosh(b*x + a)^2 + (-4*I*b*x - 4*I*a)*cosh(b*x + a)*sinh(b*x + a) + (-2*I*b*x - 2*I*a)*sinh(b*x + a)^2 - 2*I*b*x - 2*I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b^2*x^2 + (b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 + b^3)","C",0
476,1,401,0,0.412557," ","integrate(x*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(b x + a\right) + 2 \, b x \sinh\left(b x + a\right) - 2 \, {\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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} + b x\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)}{b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} + b^{2}}"," ",0,"(2*b*x*cosh(b*x + a) + 2*b*x*sinh(b*x + a) - 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 + b*x)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 + b*x + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 + b^2)","B",0
477,1,155,0,0.402928," ","integrate(csch(b*x+a)*sech(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
478,0,0,0,0.400950," ","integrate(csch(b*x+a)*sech(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)^2/x, x)","F",0
479,0,0,0,0.413861," ","integrate(csch(b*x+a)*sech(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)^2/x^2, x)","F",0
480,0,0,0,0.410171," ","integrate(x^m*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*csch(b*x + a)*sech(b*x + a)^3, x)","F",0
481,1,3409,0,0.508810," ","integrate(x^3*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} - 18 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, a^{2} - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} + b^{2} x^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} + b^{2} x^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{3} x^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} x^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} x^{3} \sinh\left(b x + a\right)^{4} + 2 \, b^{3} x^{3} \cosh\left(b x + a\right)^{2} + b^{3} x^{3} + 2 \, {\left(3 \, b^{3} x^{3} \cosh\left(b x + a\right)^{2} + b^{3} x^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} x^{3} \cosh\left(b x + a\right)^{3} + b^{3} x^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(a^{3} + 3 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(a^{3} + 3 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(a^{3} \cosh\left(b x + a\right)^{4} + 4 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{3} \sinh\left(b x + a\right)^{4} + 2 \, a^{3} \cosh\left(b x + a\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(b x + a\right)^{2} + a^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a^{3} \cosh\left(b x + a\right)^{3} + a^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{4} + a^{3} + 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} x^{3} + a^{3} + 3 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} + 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} + b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(3*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 12*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(b^2*x^2 - a^2)*sinh(b*x + a)^4 - (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 - (2*b^3*x^3 - 3*b^2*x^2 - 18*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 6*a^2)*sinh(b*x + a)^2 - 3*a^2 - 3*(b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 + 2*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2 + 2*(3*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2)*sinh(b*x + a)^2 + 4*(b^2*x^2*cosh(b*x + a)^3 + b^2*x^2*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) + 3*((b^2*x^2 - 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 1)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - 1)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 - 1)*cosh(b*x + a)^3 + (b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + 3*((b^2*x^2 - 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 1)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - 1)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 - 1)*cosh(b*x + a)^3 + (b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 3*(b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 + 2*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2 + 2*(3*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2)*sinh(b*x + a)^2 + 4*(b^2*x^2*cosh(b*x + a)^3 + b^2*x^2*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^3*x^3*cosh(b*x + a)^4 + 4*b^3*x^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*x^3*sinh(b*x + a)^4 + 2*b^3*x^3*cosh(b*x + a)^2 + b^3*x^3 + 2*(3*b^3*x^3*cosh(b*x + a)^2 + b^3*x^3)*sinh(b*x + a)^2 + 4*(b^3*x^3*cosh(b*x + a)^3 + b^3*x^3*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - ((a^3 - 3*a)*cosh(b*x + a)^4 + 4*(a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 - 3*a)*sinh(b*x + a)^4 + a^3 + 2*(a^3 - 3*a)*cosh(b*x + a)^2 + 2*(a^3 + 3*(a^3 - 3*a)*cosh(b*x + a)^2 - 3*a)*sinh(b*x + a)^2 + 4*((a^3 - 3*a)*cosh(b*x + a)^3 + (a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - ((a^3 - 3*a)*cosh(b*x + a)^4 + 4*(a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 - 3*a)*sinh(b*x + a)^4 + a^3 + 2*(a^3 - 3*a)*cosh(b*x + a)^2 + 2*(a^3 + 3*(a^3 - 3*a)*cosh(b*x + a)^2 - 3*a)*sinh(b*x + a)^2 + 4*((a^3 - 3*a)*cosh(b*x + a)^3 + (a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (a^3*cosh(b*x + a)^4 + 4*a^3*cosh(b*x + a)*sinh(b*x + a)^3 + a^3*sinh(b*x + a)^4 + 2*a^3*cosh(b*x + a)^2 + a^3 + 2*(3*a^3*cosh(b*x + a)^2 + a^3)*sinh(b*x + a)^2 + 4*(a^3*cosh(b*x + a)^3 + a^3*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b^3*x^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + a^3 + 2*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3 + 3*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 - 3*b*x - 3*a)*sinh(b*x + a)^2 - 3*b*x + 4*((b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (b^3*x^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + a^3 + 2*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3 + 3*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 - 3*b*x - 3*a)*sinh(b*x + a)^2 - 3*b*x + 4*((b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - (b^3*x^3 + (b^3*x^3 + a^3)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3)*sinh(b*x + a)^4 + a^3 + 2*(b^3*x^3 + a^3)*cosh(b*x + a)^2 + 2*(b^3*x^3 + a^3 + 3*(b^3*x^3 + a^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^3*x^3 + a^3)*cosh(b*x + a)^3 + (b^3*x^3 + a^3)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(6*(b^2*x^2 - a^2)*cosh(b*x + a)^3 - (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 + 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 + b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 + b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
482,1,2523,0,0.483361," ","integrate(x^2*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 8 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b^{2} x^{2} - b x - 2 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - 2 \, a\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} + b^{2} x^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + a^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{2} - 1\right)} \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) + i\right) + {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + a^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(a^{2} - 1\right)} \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) - i\right) - {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} + 2 \, a^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(b x + a\right)^{2} + a^{2}\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(b x + a\right)^{3} + a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left(2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - b x - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2 \, a}{b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} + 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(2*(b*x + a)*cosh(b*x + a)^4 + 8*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + 2*(b*x + a)*sinh(b*x + a)^4 - 2*(b^2*x^2 - b*x - 2*a)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 6*(b*x + a)*cosh(b*x + a)^2 - b*x - 2*a)*sinh(b*x + a)^2 - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) + 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 + 2*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2 + 2*(3*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2)*sinh(b*x + a)^2 + 4*(b^2*x^2*cosh(b*x + a)^3 + b^2*x^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + ((a^2 - 1)*cosh(b*x + a)^4 + 4*(a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 - 1)*sinh(b*x + a)^4 + 2*(a^2 - 1)*cosh(b*x + a)^2 + 2*(3*(a^2 - 1)*cosh(b*x + a)^2 + a^2 - 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 - 1)*cosh(b*x + a)^3 + (a^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) + I) + ((a^2 - 1)*cosh(b*x + a)^4 + 4*(a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 - 1)*sinh(b*x + a)^4 + 2*(a^2 - 1)*cosh(b*x + a)^2 + 2*(3*(a^2 - 1)*cosh(b*x + a)^2 + a^2 - 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 - 1)*cosh(b*x + a)^3 + (a^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 + 2*a^2*cosh(b*x + a)^2 + 2*(3*a^2*cosh(b*x + a)^2 + a^2)*sinh(b*x + a)^2 + a^2 + 4*(a^2*cosh(b*x + a)^3 + a^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 + (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*(2*(b*x + a)*cosh(b*x + a)^3 - (b^2*x^2 - b*x - 2*a)*cosh(b*x + a))*sinh(b*x + a) + 2*a)/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 + 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 + b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
483,1,1543,0,0.465623," ","integrate(x*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(2 \, b x + 1\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} + 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} + 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 1}{b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} + b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"((2*b*x + 1)*cosh(b*x + a)^2 + 2*(2*b*x + 1)*cosh(b*x + a)*sinh(b*x + a) + (2*b*x + 1)*sinh(b*x + a)^2 + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 + 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 + 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 + 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 1)/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 + 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 + b^2*cosh(b*x + a))*sinh(b*x + a))","C",0
484,1,371,0,0.428791," ","integrate(csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)^{2}}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} + 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"(2*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*cosh(b*x + a)*sinh(b*x + a) + 2*sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 + 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
485,0,0,0,0.442610," ","integrate(csch(b*x+a)*sech(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)^3/x, x)","F",0
486,0,0,0,0.496873," ","integrate(csch(b*x+a)*sech(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)*sech(b*x + a)^3/x^2, x)","F",0
487,0,0,0,0.425626," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right), x\right)"," ",0,"integral(x^m*csch(b*x + a)^2*sech(b*x + a), x)","F",0
488,1,1307,0,0.483489," ","integrate(x^3*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b^{3} x^{3} \cosh\left(b x + a\right) + 2 \, b^{3} x^{3} \sinh\left(b x + a\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(-3 i \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} - 6 i \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 3 i \, b^{2} x^{2} \sinh\left(b x + a\right)^{2} + 3 i \, b^{2} x^{2}\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(3 i \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 6 i \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 3 i \, b^{2} x^{2} \sinh\left(b x + a\right)^{2} - 3 i \, b^{2} x^{2}\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} x^{2} \sinh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left(i \, a^{3} \cosh\left(b x + a\right)^{2} + 2 i \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + i \, a^{3} \sinh\left(b x + a\right)^{2} - i \, a^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(-i \, a^{3} \cosh\left(b x + a\right)^{2} - 2 i \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - i \, a^{3} \sinh\left(b x + a\right)^{2} + i \, a^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 3 \, {\left(a^{2} \cosh\left(b x + a\right)^{2} + 2 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a^{2} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(-i \, b^{3} x^{3} - i \, a^{3} + {\left(i \, b^{3} x^{3} + i \, a^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{3} x^{3} + 2 i \, a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(i \, b^{3} x^{3} + i \, a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(i \, b^{3} x^{3} + i \, a^{3} + {\left(-i \, b^{3} x^{3} - i \, a^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{3} x^{3} - 2 i \, a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-i \, b^{3} x^{3} - i \, a^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 3 \, {\left(b^{2} x^{2} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - {\left(-6 i \, \cosh\left(b x + a\right)^{2} - 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, \sinh\left(b x + a\right)^{2} + 6 i\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(6 i \, \cosh\left(b x + a\right)^{2} + 12 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, \sinh\left(b x + a\right)^{2} - 6 i\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\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)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(6 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 6 i \, b x \sinh\left(b x + a\right)^{2} - 6 i \, b x\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-6 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 6 i \, b x \sinh\left(b x + a\right)^{2} + 6 i \, b x\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, {\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)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} - b^{4}}"," ",0,"-(2*b^3*x^3*cosh(b*x + a) + 2*b^3*x^3*sinh(b*x + a) - 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (-3*I*b^2*x^2*cosh(b*x + a)^2 - 6*I*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) - 3*I*b^2*x^2*sinh(b*x + a)^2 + 3*I*b^2*x^2)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (3*I*b^2*x^2*cosh(b*x + a)^2 + 6*I*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + 3*I*b^2*x^2*sinh(b*x + a)^2 - 3*I*b^2*x^2)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 3*(b^2*x^2*cosh(b*x + a)^2 + 2*b^2*x^2*cosh(b*x + a)*sinh(b*x + a) + b^2*x^2*sinh(b*x + a)^2 - b^2*x^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (I*a^3*cosh(b*x + a)^2 + 2*I*a^3*cosh(b*x + a)*sinh(b*x + a) + I*a^3*sinh(b*x + a)^2 - I*a^3)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (-I*a^3*cosh(b*x + a)^2 - 2*I*a^3*cosh(b*x + a)*sinh(b*x + a) - I*a^3*sinh(b*x + a)^2 + I*a^3)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 3*(a^2*cosh(b*x + a)^2 + 2*a^2*cosh(b*x + a)*sinh(b*x + a) + a^2*sinh(b*x + a)^2 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (-I*b^3*x^3 - I*a^3 + (I*b^3*x^3 + I*a^3)*cosh(b*x + a)^2 + (2*I*b^3*x^3 + 2*I*a^3)*cosh(b*x + a)*sinh(b*x + a) + (I*b^3*x^3 + I*a^3)*sinh(b*x + a)^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (I*b^3*x^3 + I*a^3 + (-I*b^3*x^3 - I*a^3)*cosh(b*x + a)^2 + (-2*I*b^3*x^3 - 2*I*a^3)*cosh(b*x + a)*sinh(b*x + a) + (-I*b^3*x^3 - I*a^3)*sinh(b*x + a)^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 3*(b^2*x^2 - (b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a) - (b^2*x^2 - a^2)*sinh(b*x + a)^2 - a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - (-6*I*cosh(b*x + a)^2 - 12*I*cosh(b*x + a)*sinh(b*x + a) - 6*I*sinh(b*x + a)^2 + 6*I)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - (6*I*cosh(b*x + a)^2 + 12*I*cosh(b*x + a)*sinh(b*x + a) + 6*I*sinh(b*x + a)^2 - 6*I)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - (6*I*b*x*cosh(b*x + a)^2 + 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) + 6*I*b*x*sinh(b*x + a)^2 - 6*I*b*x)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-6*I*b*x*cosh(b*x + a)^2 - 12*I*b*x*cosh(b*x + a)*sinh(b*x + a) - 6*I*b*x*sinh(b*x + a)^2 + 6*I*b*x)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 - b^4)","C",0
489,1,964,0,0.470861," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{2} \cosh\left(b x + a\right) + 2 \, b^{2} x^{2} \sinh\left(b x + a\right) - 2 \, {\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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(-2 i \, b x \cosh\left(b x + a\right)^{2} - 4 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, b x \sinh\left(b x + a\right)^{2} + 2 i \, b x\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(2 i \, b x \cosh\left(b x + a\right)^{2} + 4 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, b x \sinh\left(b x + a\right)^{2} - 2 i \, b x\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{2} + 2 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b x \sinh\left(b x + a\right)^{2} - b x\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left(-i \, a^{2} \cosh\left(b x + a\right)^{2} - 2 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - i \, a^{2} \sinh\left(b x + a\right)^{2} + i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(i \, a^{2} \cosh\left(b x + a\right)^{2} + 2 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + i \, a^{2} \sinh\left(b x + a\right)^{2} - i \, a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 2 \, {\left(a \cosh\left(b x + a\right)^{2} + 2 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + a \sinh\left(b x + a\right)^{2} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(-i \, b^{2} x^{2} + {\left(i \, b^{2} x^{2} - i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{2} x^{2} - 2 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(i \, b^{2} x^{2} - i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + i \, a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(i \, b^{2} x^{2} + {\left(-i \, b^{2} x^{2} + i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{2} x^{2} + 2 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-i \, b^{2} x^{2} + i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - i \, a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 2 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b x + a\right)} \sinh\left(b x + a\right)^{2} - b x - a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - {\left(2 i \, \cosh\left(b x + a\right)^{2} + 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 i \, \sinh\left(b x + a\right)^{2} - 2 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-2 i \, \cosh\left(b x + a\right)^{2} - 4 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - 2 i \, \sinh\left(b x + a\right)^{2} + 2 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} - b^{3}}"," ",0,"-(2*b^2*x^2*cosh(b*x + a) + 2*b^2*x^2*sinh(b*x + a) - 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (-2*I*b*x*cosh(b*x + a)^2 - 4*I*b*x*cosh(b*x + a)*sinh(b*x + a) - 2*I*b*x*sinh(b*x + a)^2 + 2*I*b*x)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (2*I*b*x*cosh(b*x + a)^2 + 4*I*b*x*cosh(b*x + a)*sinh(b*x + a) + 2*I*b*x*sinh(b*x + a)^2 - 2*I*b*x)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 2*(b*x*cosh(b*x + a)^2 + 2*b*x*cosh(b*x + a)*sinh(b*x + a) + b*x*sinh(b*x + a)^2 - b*x)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (-I*a^2*cosh(b*x + a)^2 - 2*I*a^2*cosh(b*x + a)*sinh(b*x + a) - I*a^2*sinh(b*x + a)^2 + I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (I*a^2*cosh(b*x + a)^2 + 2*I*a^2*cosh(b*x + a)*sinh(b*x + a) + I*a^2*sinh(b*x + a)^2 - I*a^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) + 2*(a*cosh(b*x + a)^2 + 2*a*cosh(b*x + a)*sinh(b*x + a) + a*sinh(b*x + a)^2 - a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (-I*b^2*x^2 + (I*b^2*x^2 - I*a^2)*cosh(b*x + a)^2 + (2*I*b^2*x^2 - 2*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (I*b^2*x^2 - I*a^2)*sinh(b*x + a)^2 + I*a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (I*b^2*x^2 + (-I*b^2*x^2 + I*a^2)*cosh(b*x + a)^2 + (-2*I*b^2*x^2 + 2*I*a^2)*cosh(b*x + a)*sinh(b*x + a) + (-I*b^2*x^2 + I*a^2)*sinh(b*x + a)^2 - I*a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 2*((b*x + a)*cosh(b*x + a)^2 + 2*(b*x + a)*cosh(b*x + a)*sinh(b*x + a) + (b*x + a)*sinh(b*x + a)^2 - b*x - a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - (2*I*cosh(b*x + a)^2 + 4*I*cosh(b*x + a)*sinh(b*x + a) + 2*I*sinh(b*x + a)^2 - 2*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-2*I*cosh(b*x + a)^2 - 4*I*cosh(b*x + a)*sinh(b*x + a) - 2*I*sinh(b*x + a)^2 + 2*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 - b^3)","C",0
490,1,565,0,0.441960," ","integrate(x*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(b x + a\right) + 2 \, b x \sinh\left(b x + a\right) - {\left(-i \, \cosh\left(b x + a\right)^{2} - 2 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) - i \, \sinh\left(b x + a\right)^{2} + i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(i \, \cosh\left(b x + a\right)^{2} + 2 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + i \, \sinh\left(b x + a\right)^{2} - i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\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) - {\left(i \, a \cosh\left(b x + a\right)^{2} + 2 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) + i \, a \sinh\left(b x + a\right)^{2} - i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(-i \, a \cosh\left(b x + a\right)^{2} - 2 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right) - i \, a \sinh\left(b x + a\right)^{2} + i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\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) - {\left({\left(i \, b x + i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b x + 2 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(i \, b x + i \, a\right)} \sinh\left(b x + a\right)^{2} - i \, b x - i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(-i \, b x - i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b x - 2 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(-i \, b x - i \, a\right)} \sinh\left(b x + a\right)^{2} + i \, b x + i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right)}{b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} - b^{2}}"," ",0,"-(2*b*x*cosh(b*x + a) + 2*b*x*sinh(b*x + a) - (-I*cosh(b*x + a)^2 - 2*I*cosh(b*x + a)*sinh(b*x + a) - I*sinh(b*x + a)^2 + I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (I*cosh(b*x + a)^2 + 2*I*cosh(b*x + a)*sinh(b*x + a) + I*sinh(b*x + a)^2 - I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (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) - (I*a*cosh(b*x + a)^2 + 2*I*a*cosh(b*x + a)*sinh(b*x + a) + I*a*sinh(b*x + a)^2 - I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (-I*a*cosh(b*x + a)^2 - 2*I*a*cosh(b*x + a)*sinh(b*x + a) - I*a*sinh(b*x + a)^2 + I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (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) - ((I*b*x + I*a)*cosh(b*x + a)^2 + (2*I*b*x + 2*I*a)*cosh(b*x + a)*sinh(b*x + a) + (I*b*x + I*a)*sinh(b*x + a)^2 - I*b*x - I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((-I*b*x - I*a)*cosh(b*x + a)^2 + (-2*I*b*x - 2*I*a)*cosh(b*x + a)*sinh(b*x + a) + (-I*b*x - I*a)*sinh(b*x + a)^2 + I*b*x + I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 - b^2)","B",0
491,1,103,0,0.420196," ","integrate(csch(b*x+a)^2*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left({\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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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,"-2*((cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + cosh(b*x + a) + 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
492,0,0,0,0.391752," ","integrate(csch(b*x+a)^2*sech(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)/x, x)","F",0
493,0,0,0,0.451901," ","integrate(csch(b*x+a)^2*sech(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)/x^2, x)","F",0
494,0,0,0,0.431892," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*csch(b*x + a)^2*sech(b*x + a)^2, x)","F",0
495,1,1924,0,0.472114," ","integrate(x^3*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{4} + 16 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 24 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 16 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{4} - 4 \, a^{3} - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - b x\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - b x\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - b x\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - b x\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} - b^{2} x^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 3 \, {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - 3 \, {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 3 \, {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} - a^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b^{4} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - b^{4}}"," ",0,"-(4*(b^3*x^3 + a^3)*cosh(b*x + a)^4 + 16*(b^3*x^3 + a^3)*cosh(b*x + a)^3*sinh(b*x + a) + 24*(b^3*x^3 + a^3)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 16*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a)^3 + 4*(b^3*x^3 + a^3)*sinh(b*x + a)^4 - 4*a^3 - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - b*x)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - b*x)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - b*x)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - b*x)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 3*(b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)^3*sinh(b*x + a) + 6*b^2*x^2*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 - b^2*x^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 3*(a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)^3*sinh(b*x + a) + 6*a^2*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) - 3*(a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)^3*sinh(b*x + a) + 6*a^2*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 3*(a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)^3*sinh(b*x + a) + 6*a^2*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 - a^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 - b^2*x^2 + a^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 - b^2*x^2 + a^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 - b^2*x^2 + a^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)^3*sinh(b*x + a) + 6*b^4*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - b^4)","C",0
496,1,1327,0,0.476064," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 8 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 12 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + 2 \, a^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - b x\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - b x - a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - b x - a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - b x - a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)\right)}}{b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b^{3} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - b^{3}}"," ",0,"-2*(2*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 8*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a) + 12*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 8*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + 2*(b^2*x^2 - a^2)*sinh(b*x + a)^4 + 2*a^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - b*x)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)^3*sinh(b*x + a) + 6*a*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)^3*sinh(b*x + a) + 6*a*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - a)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)^3*sinh(b*x + a) + 6*a*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - b*x - a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - b*x - a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a) + 6*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - b*x - a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)^3*sinh(b*x + a) + 6*b^3*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - b^3)","C",0
497,1,292,0,0.425261," ","integrate(x*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4 \, b x \cosh\left(b x + a\right)^{4} + 16 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 24 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 16 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, b x \sinh\left(b x + a\right)^{4} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} - 1\right)} \log\left(\frac{4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)}{\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}}\right)}{b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} - b^{2}}"," ",0,"-(4*b*x*cosh(b*x + a)^4 + 16*b*x*cosh(b*x + a)^3*sinh(b*x + a) + 24*b*x*cosh(b*x + a)^2*sinh(b*x + a)^2 + 16*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + 4*b*x*sinh(b*x + a)^4 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 - 1)*log(4*cosh(b*x + a)*sinh(b*x + a)/(cosh(b*x + a)^2 - 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)))/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)^3*sinh(b*x + a) + 6*b^2*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 - b^2)","B",0
498,1,81,0,0.398212," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - b}"," ",0,"-4/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)^3*sinh(b*x + a) + 6*b*cosh(b*x + a)^2*sinh(b*x + a)^2 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - b)","B",0
499,0,0,0,0.419882," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)^2/x, x)","F",0
500,0,0,0,0.409428," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)^2/x^2, x)","F",0
501,0,0,0,0.418148," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*csch(b*x + a)^2*sech(b*x + a)^3, x)","F",0
502,1,3777,0,0.580514," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{4 \, b^{2} x^{2} \cosh\left(b x + a\right)^{3} + 2 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{5} + 10 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{5} + 4 \, {\left(b^{2} x^{2} + 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right) + 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} x^{2} - 2 \, b x\right)} \cosh\left(b x + a\right) - 4 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(-6 i \, b x \cosh\left(b x + a\right)^{6} - 36 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 6 i \, b x \sinh\left(b x + a\right)^{6} - 6 i \, b x \cosh\left(b x + a\right)^{4} + {\left(-90 i \, b x \cosh\left(b x + a\right)^{2} - 6 i \, b x\right)} \sinh\left(b x + a\right)^{4} + 6 i \, b x \cosh\left(b x + a\right)^{2} + {\left(-120 i \, b x \cosh\left(b x + a\right)^{3} - 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-90 i \, b x \cosh\left(b x + a\right)^{4} - 36 i \, b x \cosh\left(b x + a\right)^{2} + 6 i \, b x\right)} \sinh\left(b x + a\right)^{2} + 6 i \, b x + {\left(-36 i \, b x \cosh\left(b x + a\right)^{5} - 24 i \, b x \cosh\left(b x + a\right)^{3} + 12 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(6 i \, b x \cosh\left(b x + a\right)^{6} + 36 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 6 i \, b x \sinh\left(b x + a\right)^{6} + 6 i \, b x \cosh\left(b x + a\right)^{4} + {\left(90 i \, b x \cosh\left(b x + a\right)^{2} + 6 i \, b x\right)} \sinh\left(b x + a\right)^{4} - 6 i \, b x \cosh\left(b x + a\right)^{2} + {\left(120 i \, b x \cosh\left(b x + a\right)^{3} + 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(90 i \, b x \cosh\left(b x + a\right)^{4} + 36 i \, b x \cosh\left(b x + a\right)^{2} - 6 i \, b x\right)} \sinh\left(b x + a\right)^{2} - 6 i \, b x + {\left(36 i \, b x \cosh\left(b x + a\right)^{5} + 24 i \, b x \cosh\left(b x + a\right)^{3} - 12 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} + b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} + b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} + 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} - b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} + 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left({\left(-3 i \, a^{2} + 2 i\right)} \cosh\left(b x + a\right)^{6} + {\left(-18 i \, a^{2} + 12 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(-3 i \, a^{2} + 2 i\right)} \sinh\left(b x + a\right)^{6} + {\left(-3 i \, a^{2} + 2 i\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(-45 i \, a^{2} + 30 i\right)} \cosh\left(b x + a\right)^{2} - 3 i \, a^{2} + 2 i\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(-60 i \, a^{2} + 40 i\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, a^{2} + 8 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(3 i \, a^{2} - 2 i\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-45 i \, a^{2} + 30 i\right)} \cosh\left(b x + a\right)^{4} + {\left(-18 i \, a^{2} + 12 i\right)} \cosh\left(b x + a\right)^{2} + 3 i \, a^{2} - 2 i\right)} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2} + {\left({\left(-18 i \, a^{2} + 12 i\right)} \cosh\left(b x + a\right)^{5} + {\left(-12 i \, a^{2} + 8 i\right)} \cosh\left(b x + a\right)^{3} + {\left(6 i \, a^{2} - 4 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 i\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left({\left(3 i \, a^{2} - 2 i\right)} \cosh\left(b x + a\right)^{6} + {\left(18 i \, a^{2} - 12 i\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 i \, a^{2} - 2 i\right)} \sinh\left(b x + a\right)^{6} + {\left(3 i \, a^{2} - 2 i\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(45 i \, a^{2} - 30 i\right)} \cosh\left(b x + a\right)^{2} + 3 i \, a^{2} - 2 i\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(60 i \, a^{2} - 40 i\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, a^{2} - 8 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-3 i \, a^{2} + 2 i\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(45 i \, a^{2} - 30 i\right)} \cosh\left(b x + a\right)^{4} + {\left(18 i \, a^{2} - 12 i\right)} \cosh\left(b x + a\right)^{2} - 3 i \, a^{2} + 2 i\right)} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2} + {\left({\left(18 i \, a^{2} - 12 i\right)} \cosh\left(b x + a\right)^{5} + {\left(12 i \, a^{2} - 8 i\right)} \cosh\left(b x + a\right)^{3} + {\left(-6 i \, a^{2} + 4 i\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2 i\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 4 \, {\left(a \cosh\left(b x + a\right)^{6} + 6 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + a \sinh\left(b x + a\right)^{6} + a \cosh\left(b x + a\right)^{4} + {\left(15 \, a \cosh\left(b x + a\right)^{2} + a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, a \cosh\left(b x + a\right)^{3} + a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)^{2} + {\left(15 \, a \cosh\left(b x + a\right)^{4} + 6 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{5} + 2 \, a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{6} + {\left(18 i \, b^{2} x^{2} - 18 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{6} + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(3 i \, b^{2} x^{2} + {\left(45 i \, b^{2} x^{2} - 45 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - 3 i \, b^{2} x^{2} + {\left({\left(60 i \, b^{2} x^{2} - 60 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b^{2} x^{2} - 12 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(45 i \, b^{2} x^{2} - 45 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} - 3 i \, b^{2} x^{2} + {\left(18 i \, b^{2} x^{2} - 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 3 i \, a^{2} + {\left({\left(18 i \, b^{2} x^{2} - 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{5} + {\left(12 i \, b^{2} x^{2} - 12 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{6} + {\left(-18 i \, b^{2} x^{2} + 18 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{6} + {\left(-3 i \, b^{2} x^{2} + 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-3 i \, b^{2} x^{2} + {\left(-45 i \, b^{2} x^{2} + 45 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + 3 i \, b^{2} x^{2} + {\left({\left(-60 i \, b^{2} x^{2} + 60 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b^{2} x^{2} + 12 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(3 i \, b^{2} x^{2} - 3 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-45 i \, b^{2} x^{2} + 45 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 3 i \, b^{2} x^{2} + {\left(-18 i \, b^{2} x^{2} + 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 3 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 i \, a^{2} + {\left({\left(-18 i \, b^{2} x^{2} + 18 i \, a^{2}\right)} \cosh\left(b x + a\right)^{5} + {\left(-12 i \, b^{2} x^{2} + 12 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{6} + {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + {\left(15 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + b x + a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} - b x + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{5} + 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - {\left(6 i \, \cosh\left(b x + a\right)^{6} + 36 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 6 i \, \sinh\left(b x + a\right)^{6} + {\left(90 i \, \cosh\left(b x + a\right)^{2} + 6 i\right)} \sinh\left(b x + a\right)^{4} + 6 i \, \cosh\left(b x + a\right)^{4} + {\left(120 i \, \cosh\left(b x + a\right)^{3} + 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(90 i \, \cosh\left(b x + a\right)^{4} + 36 i \, \cosh\left(b x + a\right)^{2} - 6 i\right)} \sinh\left(b x + a\right)^{2} - 6 i \, \cosh\left(b x + a\right)^{2} + {\left(36 i \, \cosh\left(b x + a\right)^{5} + 24 i \, \cosh\left(b x + a\right)^{3} - 12 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 6 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(-6 i \, \cosh\left(b x + a\right)^{6} - 36 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 6 i \, \sinh\left(b x + a\right)^{6} + {\left(-90 i \, \cosh\left(b x + a\right)^{2} - 6 i\right)} \sinh\left(b x + a\right)^{4} - 6 i \, \cosh\left(b x + a\right)^{4} + {\left(-120 i \, \cosh\left(b x + a\right)^{3} - 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-90 i \, \cosh\left(b x + a\right)^{4} - 36 i \, \cosh\left(b x + a\right)^{2} + 6 i\right)} \sinh\left(b x + a\right)^{2} + 6 i \, \cosh\left(b x + a\right)^{2} + {\left(-36 i \, \cosh\left(b x + a\right)^{5} - 24 i \, \cosh\left(b x + a\right)^{3} + 12 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 6 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(6 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{6} + 6 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b^{3} \sinh\left(b x + a\right)^{6} + b^{3} \cosh\left(b x + a\right)^{4} - b^{3} \cosh\left(b x + a\right)^{2} + {\left(15 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3}\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b^{3} \cosh\left(b x + a\right)^{3} + b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b^{3} + {\left(15 \, b^{3} \cosh\left(b x + a\right)^{4} + 6 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{5} + 2 \, b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(4*b^2*x^2*cosh(b*x + a)^3 + 2*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^5 + 10*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(3*b^2*x^2 + 2*b*x)*sinh(b*x + a)^5 + 4*(b^2*x^2 + 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^2)*sinh(b*x + a)^3 + 4*(3*b^2*x^2*cosh(b*x + a) + 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^3)*sinh(b*x + a)^2 + 2*(3*b^2*x^2 - 2*b*x)*cosh(b*x + a) - 4*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (-6*I*b*x*cosh(b*x + a)^6 - 36*I*b*x*cosh(b*x + a)*sinh(b*x + a)^5 - 6*I*b*x*sinh(b*x + a)^6 - 6*I*b*x*cosh(b*x + a)^4 + (-90*I*b*x*cosh(b*x + a)^2 - 6*I*b*x)*sinh(b*x + a)^4 + 6*I*b*x*cosh(b*x + a)^2 + (-120*I*b*x*cosh(b*x + a)^3 - 24*I*b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (-90*I*b*x*cosh(b*x + a)^4 - 36*I*b*x*cosh(b*x + a)^2 + 6*I*b*x)*sinh(b*x + a)^2 + 6*I*b*x + (-36*I*b*x*cosh(b*x + a)^5 - 24*I*b*x*cosh(b*x + a)^3 + 12*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (6*I*b*x*cosh(b*x + a)^6 + 36*I*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + 6*I*b*x*sinh(b*x + a)^6 + 6*I*b*x*cosh(b*x + a)^4 + (90*I*b*x*cosh(b*x + a)^2 + 6*I*b*x)*sinh(b*x + a)^4 - 6*I*b*x*cosh(b*x + a)^2 + (120*I*b*x*cosh(b*x + a)^3 + 24*I*b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (90*I*b*x*cosh(b*x + a)^4 + 36*I*b*x*cosh(b*x + a)^2 - 6*I*b*x)*sinh(b*x + a)^2 - 6*I*b*x + (36*I*b*x*cosh(b*x + a)^5 + 24*I*b*x*cosh(b*x + a)^3 - 12*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 4*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 + b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 + b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 + 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 - b*x + 2*(3*b*x*cosh(b*x + a)^5 + 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - ((-3*I*a^2 + 2*I)*cosh(b*x + a)^6 + (-18*I*a^2 + 12*I)*cosh(b*x + a)*sinh(b*x + a)^5 + (-3*I*a^2 + 2*I)*sinh(b*x + a)^6 + (-3*I*a^2 + 2*I)*cosh(b*x + a)^4 + ((-45*I*a^2 + 30*I)*cosh(b*x + a)^2 - 3*I*a^2 + 2*I)*sinh(b*x + a)^4 + ((-60*I*a^2 + 40*I)*cosh(b*x + a)^3 + (-12*I*a^2 + 8*I)*cosh(b*x + a))*sinh(b*x + a)^3 + (3*I*a^2 - 2*I)*cosh(b*x + a)^2 + ((-45*I*a^2 + 30*I)*cosh(b*x + a)^4 + (-18*I*a^2 + 12*I)*cosh(b*x + a)^2 + 3*I*a^2 - 2*I)*sinh(b*x + a)^2 + 3*I*a^2 + ((-18*I*a^2 + 12*I)*cosh(b*x + a)^5 + (-12*I*a^2 + 8*I)*cosh(b*x + a)^3 + (6*I*a^2 - 4*I)*cosh(b*x + a))*sinh(b*x + a) - 2*I)*log(cosh(b*x + a) + sinh(b*x + a) + I) - ((3*I*a^2 - 2*I)*cosh(b*x + a)^6 + (18*I*a^2 - 12*I)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*I*a^2 - 2*I)*sinh(b*x + a)^6 + (3*I*a^2 - 2*I)*cosh(b*x + a)^4 + ((45*I*a^2 - 30*I)*cosh(b*x + a)^2 + 3*I*a^2 - 2*I)*sinh(b*x + a)^4 + ((60*I*a^2 - 40*I)*cosh(b*x + a)^3 + (12*I*a^2 - 8*I)*cosh(b*x + a))*sinh(b*x + a)^3 + (-3*I*a^2 + 2*I)*cosh(b*x + a)^2 + ((45*I*a^2 - 30*I)*cosh(b*x + a)^4 + (18*I*a^2 - 12*I)*cosh(b*x + a)^2 - 3*I*a^2 + 2*I)*sinh(b*x + a)^2 - 3*I*a^2 + ((18*I*a^2 - 12*I)*cosh(b*x + a)^5 + (12*I*a^2 - 8*I)*cosh(b*x + a)^3 + (-6*I*a^2 + 4*I)*cosh(b*x + a))*sinh(b*x + a) + 2*I)*log(cosh(b*x + a) + sinh(b*x + a) - I) + 4*(a*cosh(b*x + a)^6 + 6*a*cosh(b*x + a)*sinh(b*x + a)^5 + a*sinh(b*x + a)^6 + a*cosh(b*x + a)^4 + (15*a*cosh(b*x + a)^2 + a)*sinh(b*x + a)^4 + 4*(5*a*cosh(b*x + a)^3 + a*cosh(b*x + a))*sinh(b*x + a)^3 - a*cosh(b*x + a)^2 + (15*a*cosh(b*x + a)^4 + 6*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^5 + 2*a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) - a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((3*I*b^2*x^2 - 3*I*a^2)*cosh(b*x + a)^6 + (18*I*b^2*x^2 - 18*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*I*b^2*x^2 - 3*I*a^2)*sinh(b*x + a)^6 + (3*I*b^2*x^2 - 3*I*a^2)*cosh(b*x + a)^4 + (3*I*b^2*x^2 + (45*I*b^2*x^2 - 45*I*a^2)*cosh(b*x + a)^2 - 3*I*a^2)*sinh(b*x + a)^4 - 3*I*b^2*x^2 + ((60*I*b^2*x^2 - 60*I*a^2)*cosh(b*x + a)^3 + (12*I*b^2*x^2 - 12*I*a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + (-3*I*b^2*x^2 + 3*I*a^2)*cosh(b*x + a)^2 + ((45*I*b^2*x^2 - 45*I*a^2)*cosh(b*x + a)^4 - 3*I*b^2*x^2 + (18*I*b^2*x^2 - 18*I*a^2)*cosh(b*x + a)^2 + 3*I*a^2)*sinh(b*x + a)^2 + 3*I*a^2 + ((18*I*b^2*x^2 - 18*I*a^2)*cosh(b*x + a)^5 + (12*I*b^2*x^2 - 12*I*a^2)*cosh(b*x + a)^3 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((-3*I*b^2*x^2 + 3*I*a^2)*cosh(b*x + a)^6 + (-18*I*b^2*x^2 + 18*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^5 + (-3*I*b^2*x^2 + 3*I*a^2)*sinh(b*x + a)^6 + (-3*I*b^2*x^2 + 3*I*a^2)*cosh(b*x + a)^4 + (-3*I*b^2*x^2 + (-45*I*b^2*x^2 + 45*I*a^2)*cosh(b*x + a)^2 + 3*I*a^2)*sinh(b*x + a)^4 + 3*I*b^2*x^2 + ((-60*I*b^2*x^2 + 60*I*a^2)*cosh(b*x + a)^3 + (-12*I*b^2*x^2 + 12*I*a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + (3*I*b^2*x^2 - 3*I*a^2)*cosh(b*x + a)^2 + ((-45*I*b^2*x^2 + 45*I*a^2)*cosh(b*x + a)^4 + 3*I*b^2*x^2 + (-18*I*b^2*x^2 + 18*I*a^2)*cosh(b*x + a)^2 - 3*I*a^2)*sinh(b*x + a)^2 - 3*I*a^2 + ((-18*I*b^2*x^2 + 18*I*a^2)*cosh(b*x + a)^5 + (-12*I*b^2*x^2 + 12*I*a^2)*cosh(b*x + a)^3 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 4*((b*x + a)*cosh(b*x + a)^6 + 6*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^5 + (b*x + a)*sinh(b*x + a)^6 + (b*x + a)*cosh(b*x + a)^4 + (15*(b*x + a)*cosh(b*x + a)^2 + b*x + a)*sinh(b*x + a)^4 + 4*(5*(b*x + a)*cosh(b*x + a)^3 + (b*x + a)*cosh(b*x + a))*sinh(b*x + a)^3 - (b*x + a)*cosh(b*x + a)^2 + (15*(b*x + a)*cosh(b*x + a)^4 + 6*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 - b*x + 2*(3*(b*x + a)*cosh(b*x + a)^5 + 2*(b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) - a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - (6*I*cosh(b*x + a)^6 + 36*I*cosh(b*x + a)*sinh(b*x + a)^5 + 6*I*sinh(b*x + a)^6 + (90*I*cosh(b*x + a)^2 + 6*I)*sinh(b*x + a)^4 + 6*I*cosh(b*x + a)^4 + (120*I*cosh(b*x + a)^3 + 24*I*cosh(b*x + a))*sinh(b*x + a)^3 + (90*I*cosh(b*x + a)^4 + 36*I*cosh(b*x + a)^2 - 6*I)*sinh(b*x + a)^2 - 6*I*cosh(b*x + a)^2 + (36*I*cosh(b*x + a)^5 + 24*I*cosh(b*x + a)^3 - 12*I*cosh(b*x + a))*sinh(b*x + a) - 6*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) - (-6*I*cosh(b*x + a)^6 - 36*I*cosh(b*x + a)*sinh(b*x + a)^5 - 6*I*sinh(b*x + a)^6 + (-90*I*cosh(b*x + a)^2 - 6*I)*sinh(b*x + a)^4 - 6*I*cosh(b*x + a)^4 + (-120*I*cosh(b*x + a)^3 - 24*I*cosh(b*x + a))*sinh(b*x + a)^3 + (-90*I*cosh(b*x + a)^4 - 36*I*cosh(b*x + a)^2 + 6*I)*sinh(b*x + a)^2 + 6*I*cosh(b*x + a)^2 + (-36*I*cosh(b*x + a)^5 - 24*I*cosh(b*x + a)^3 + 12*I*cosh(b*x + a))*sinh(b*x + a) + 6*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(6*b^2*x^2*cosh(b*x + a)^2 + 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^4 + 3*b^2*x^2 - 2*b*x)*sinh(b*x + a))/(b^3*cosh(b*x + a)^6 + 6*b^3*cosh(b*x + a)*sinh(b*x + a)^5 + b^3*sinh(b*x + a)^6 + b^3*cosh(b*x + a)^4 - b^3*cosh(b*x + a)^2 + (15*b^3*cosh(b*x + a)^2 + b^3)*sinh(b*x + a)^4 + 4*(5*b^3*cosh(b*x + a)^3 + b^3*cosh(b*x + a))*sinh(b*x + a)^3 - b^3 + (15*b^3*cosh(b*x + a)^4 + 6*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 2*(3*b^3*cosh(b*x + a)^5 + 2*b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
503,1,2201,0,0.503307," ","integrate(x*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{5} + 10 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, b x + 1\right)} \sinh\left(b x + a\right)^{5} + 4 \, b x \cosh\left(b x + a\right)^{3} + 4 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + b x\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} + 3 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x - 1\right)} \cosh\left(b x + a\right) - {\left(-3 i \, \cosh\left(b x + a\right)^{6} - 18 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 3 i \, \sinh\left(b x + a\right)^{6} + {\left(-45 i \, \cosh\left(b x + a\right)^{2} - 3 i\right)} \sinh\left(b x + a\right)^{4} - 3 i \, \cosh\left(b x + a\right)^{4} + {\left(-60 i \, \cosh\left(b x + a\right)^{3} - 12 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-45 i \, \cosh\left(b x + a\right)^{4} - 18 i \, \cosh\left(b x + a\right)^{2} + 3 i\right)} \sinh\left(b x + a\right)^{2} + 3 i \, \cosh\left(b x + a\right)^{2} + {\left(-18 i \, \cosh\left(b x + a\right)^{5} - 12 i \, \cosh\left(b x + a\right)^{3} + 6 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(3 i \, \cosh\left(b x + a\right)^{6} + 18 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 i \, \sinh\left(b x + a\right)^{6} + {\left(45 i \, \cosh\left(b x + a\right)^{2} + 3 i\right)} \sinh\left(b x + a\right)^{4} + 3 i \, \cosh\left(b x + a\right)^{4} + {\left(60 i \, \cosh\left(b x + a\right)^{3} + 12 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(45 i \, \cosh\left(b x + a\right)^{4} + 18 i \, \cosh\left(b x + a\right)^{2} - 3 i\right)} \sinh\left(b x + a\right)^{2} - 3 i \, \cosh\left(b x + a\right)^{2} + {\left(18 i \, \cosh\left(b x + a\right)^{5} + 12 i \, \cosh\left(b x + a\right)^{3} - 6 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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) - {\left(3 i \, a \cosh\left(b x + a\right)^{6} + 18 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 i \, a \sinh\left(b x + a\right)^{6} + 3 i \, a \cosh\left(b x + a\right)^{4} + {\left(45 i \, a \cosh\left(b x + a\right)^{2} + 3 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(60 i \, a \cosh\left(b x + a\right)^{3} + 12 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 3 i \, a \cosh\left(b x + a\right)^{2} + {\left(45 i \, a \cosh\left(b x + a\right)^{4} + 18 i \, a \cosh\left(b x + a\right)^{2} - 3 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(18 i \, a \cosh\left(b x + a\right)^{5} + 12 i \, a \cosh\left(b x + a\right)^{3} - 6 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(-3 i \, a \cosh\left(b x + a\right)^{6} - 18 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 3 i \, a \sinh\left(b x + a\right)^{6} - 3 i \, a \cosh\left(b x + a\right)^{4} + {\left(-45 i \, a \cosh\left(b x + a\right)^{2} - 3 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(-60 i \, a \cosh\left(b x + a\right)^{3} - 12 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 i \, a \cosh\left(b x + a\right)^{2} + {\left(-45 i \, a \cosh\left(b x + a\right)^{4} - 18 i \, a \cosh\left(b x + a\right)^{2} + 3 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(-18 i \, a \cosh\left(b x + a\right)^{5} - 12 i \, a \cosh\left(b x + a\right)^{3} + 6 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - 2 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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) - {\left({\left(3 i \, b x + 3 i \, a\right)} \cosh\left(b x + a\right)^{6} + {\left(18 i \, b x + 18 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 i \, b x + 3 i \, a\right)} \sinh\left(b x + a\right)^{6} + {\left(3 i \, b x + 3 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(45 i \, b x + 45 i \, a\right)} \cosh\left(b x + a\right)^{2} + 3 i \, b x + 3 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(60 i \, b x + 60 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b x + 12 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-3 i \, b x - 3 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(45 i \, b x + 45 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(18 i \, b x + 18 i \, a\right)} \cosh\left(b x + a\right)^{2} - 3 i \, b x - 3 i \, a\right)} \sinh\left(b x + a\right)^{2} - 3 i \, b x + {\left({\left(18 i \, b x + 18 i \, a\right)} \cosh\left(b x + a\right)^{5} + {\left(12 i \, b x + 12 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-6 i \, b x - 6 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(-3 i \, b x - 3 i \, a\right)} \cosh\left(b x + a\right)^{6} + {\left(-18 i \, b x - 18 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(-3 i \, b x - 3 i \, a\right)} \sinh\left(b x + a\right)^{6} + {\left(-3 i \, b x - 3 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(-45 i \, b x - 45 i \, a\right)} \cosh\left(b x + a\right)^{2} - 3 i \, b x - 3 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(-60 i \, b x - 60 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b x - 12 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(3 i \, b x + 3 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-45 i \, b x - 45 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(-18 i \, b x - 18 i \, a\right)} \cosh\left(b x + a\right)^{2} + 3 i \, b x + 3 i \, a\right)} \sinh\left(b x + a\right)^{2} + 3 i \, b x + {\left({\left(-18 i \, b x - 18 i \, a\right)} \cosh\left(b x + a\right)^{5} + {\left(-12 i \, b x - 12 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(6 i \, b x + 6 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3 i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 6 \, b x \cosh\left(b x + a\right)^{2} + 3 \, b x - 1\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{6} + 6 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b^{2} \sinh\left(b x + a\right)^{6} + b^{2} \cosh\left(b x + a\right)^{4} + {\left(15 \, b^{2} \cosh\left(b x + a\right)^{2} + b^{2}\right)} \sinh\left(b x + a\right)^{4} - b^{2} \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b^{2} \cosh\left(b x + a\right)^{3} + b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b^{2} \cosh\left(b x + a\right)^{4} + 6 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} - b^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{5} + 2 \, b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(3*b*x + 1)*cosh(b*x + a)^5 + 10*(3*b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(3*b*x + 1)*sinh(b*x + a)^5 + 4*b*x*cosh(b*x + a)^3 + 4*(5*(3*b*x + 1)*cosh(b*x + a)^2 + b*x)*sinh(b*x + a)^3 + 4*(5*(3*b*x + 1)*cosh(b*x + a)^3 + 3*b*x*cosh(b*x + a))*sinh(b*x + a)^2 + 2*(3*b*x - 1)*cosh(b*x + a) - (-3*I*cosh(b*x + a)^6 - 18*I*cosh(b*x + a)*sinh(b*x + a)^5 - 3*I*sinh(b*x + a)^6 + (-45*I*cosh(b*x + a)^2 - 3*I)*sinh(b*x + a)^4 - 3*I*cosh(b*x + a)^4 + (-60*I*cosh(b*x + a)^3 - 12*I*cosh(b*x + a))*sinh(b*x + a)^3 + (-45*I*cosh(b*x + a)^4 - 18*I*cosh(b*x + a)^2 + 3*I)*sinh(b*x + a)^2 + 3*I*cosh(b*x + a)^2 + (-18*I*cosh(b*x + a)^5 - 12*I*cosh(b*x + a)^3 + 6*I*cosh(b*x + a))*sinh(b*x + a) + 3*I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (3*I*cosh(b*x + a)^6 + 18*I*cosh(b*x + a)*sinh(b*x + a)^5 + 3*I*sinh(b*x + a)^6 + (45*I*cosh(b*x + a)^2 + 3*I)*sinh(b*x + a)^4 + 3*I*cosh(b*x + a)^4 + (60*I*cosh(b*x + a)^3 + 12*I*cosh(b*x + a))*sinh(b*x + a)^3 + (45*I*cosh(b*x + a)^4 + 18*I*cosh(b*x + a)^2 - 3*I)*sinh(b*x + a)^2 - 3*I*cosh(b*x + a)^2 + (18*I*cosh(b*x + a)^5 + 12*I*cosh(b*x + a)^3 - 6*I*cosh(b*x + a))*sinh(b*x + a) - 3*I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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*I*a*cosh(b*x + a)^6 + 18*I*a*cosh(b*x + a)*sinh(b*x + a)^5 + 3*I*a*sinh(b*x + a)^6 + 3*I*a*cosh(b*x + a)^4 + (45*I*a*cosh(b*x + a)^2 + 3*I*a)*sinh(b*x + a)^4 + (60*I*a*cosh(b*x + a)^3 + 12*I*a*cosh(b*x + a))*sinh(b*x + a)^3 - 3*I*a*cosh(b*x + a)^2 + (45*I*a*cosh(b*x + a)^4 + 18*I*a*cosh(b*x + a)^2 - 3*I*a)*sinh(b*x + a)^2 + (18*I*a*cosh(b*x + a)^5 + 12*I*a*cosh(b*x + a)^3 - 6*I*a*cosh(b*x + a))*sinh(b*x + a) - 3*I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) - (-3*I*a*cosh(b*x + a)^6 - 18*I*a*cosh(b*x + a)*sinh(b*x + a)^5 - 3*I*a*sinh(b*x + a)^6 - 3*I*a*cosh(b*x + a)^4 + (-45*I*a*cosh(b*x + a)^2 - 3*I*a)*sinh(b*x + a)^4 + (-60*I*a*cosh(b*x + a)^3 - 12*I*a*cosh(b*x + a))*sinh(b*x + a)^3 + 3*I*a*cosh(b*x + a)^2 + (-45*I*a*cosh(b*x + a)^4 - 18*I*a*cosh(b*x + a)^2 + 3*I*a)*sinh(b*x + a)^2 + (-18*I*a*cosh(b*x + a)^5 - 12*I*a*cosh(b*x + a)^3 + 6*I*a*cosh(b*x + a))*sinh(b*x + a) + 3*I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - 2*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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*I*b*x + 3*I*a)*cosh(b*x + a)^6 + (18*I*b*x + 18*I*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*I*b*x + 3*I*a)*sinh(b*x + a)^6 + (3*I*b*x + 3*I*a)*cosh(b*x + a)^4 + ((45*I*b*x + 45*I*a)*cosh(b*x + a)^2 + 3*I*b*x + 3*I*a)*sinh(b*x + a)^4 + ((60*I*b*x + 60*I*a)*cosh(b*x + a)^3 + (12*I*b*x + 12*I*a)*cosh(b*x + a))*sinh(b*x + a)^3 + (-3*I*b*x - 3*I*a)*cosh(b*x + a)^2 + ((45*I*b*x + 45*I*a)*cosh(b*x + a)^4 + (18*I*b*x + 18*I*a)*cosh(b*x + a)^2 - 3*I*b*x - 3*I*a)*sinh(b*x + a)^2 - 3*I*b*x + ((18*I*b*x + 18*I*a)*cosh(b*x + a)^5 + (12*I*b*x + 12*I*a)*cosh(b*x + a)^3 + (-6*I*b*x - 6*I*a)*cosh(b*x + a))*sinh(b*x + a) - 3*I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((-3*I*b*x - 3*I*a)*cosh(b*x + a)^6 + (-18*I*b*x - 18*I*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (-3*I*b*x - 3*I*a)*sinh(b*x + a)^6 + (-3*I*b*x - 3*I*a)*cosh(b*x + a)^4 + ((-45*I*b*x - 45*I*a)*cosh(b*x + a)^2 - 3*I*b*x - 3*I*a)*sinh(b*x + a)^4 + ((-60*I*b*x - 60*I*a)*cosh(b*x + a)^3 + (-12*I*b*x - 12*I*a)*cosh(b*x + a))*sinh(b*x + a)^3 + (3*I*b*x + 3*I*a)*cosh(b*x + a)^2 + ((-45*I*b*x - 45*I*a)*cosh(b*x + a)^4 + (-18*I*b*x - 18*I*a)*cosh(b*x + a)^2 + 3*I*b*x + 3*I*a)*sinh(b*x + a)^2 + 3*I*b*x + ((-18*I*b*x - 18*I*a)*cosh(b*x + a)^5 + (-12*I*b*x - 12*I*a)*cosh(b*x + a)^3 + (6*I*b*x + 6*I*a)*cosh(b*x + a))*sinh(b*x + a) + 3*I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 2*(5*(3*b*x + 1)*cosh(b*x + a)^4 + 6*b*x*cosh(b*x + a)^2 + 3*b*x - 1)*sinh(b*x + a))/(b^2*cosh(b*x + a)^6 + 6*b^2*cosh(b*x + a)*sinh(b*x + a)^5 + b^2*sinh(b*x + a)^6 + b^2*cosh(b*x + a)^4 + (15*b^2*cosh(b*x + a)^2 + b^2)*sinh(b*x + a)^4 - b^2*cosh(b*x + a)^2 + 4*(5*b^2*cosh(b*x + a)^3 + b^2*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b^2*cosh(b*x + a)^4 + 6*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 - b^2 + 2*(3*b^2*cosh(b*x + a)^5 + 2*b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
504,1,511,0,0.407851," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3,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} + 3 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 2 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{4} + 2 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right)}{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} + b \cosh\left(b x + a\right)^{4} + {\left(15 \, 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} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(15 \, 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} + 2 \, {\left(3 \, 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}"," ",0,"-(3*cosh(b*x + a)^5 + 15*cosh(b*x + a)*sinh(b*x + a)^4 + 3*sinh(b*x + a)^5 + 2*(15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 2*cosh(b*x + a)^3 + 6*(5*cosh(b*x + a)^3 + 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 + (15*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^4 + cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 + cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 + 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 3*(5*cosh(b*x + a)^4 + 2*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 3*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 + b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 + b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 + b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 + 6*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(3*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
505,0,0,0,0.410187," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)^3/x, x)","F",0
506,0,0,0,0.404374," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^2*sech(b*x + a)^3/x^2, x)","F",0
507,0,0,0,0.403353," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right), x\right)"," ",0,"integral(x^m*csch(b*x + a)^3*sech(b*x + a), x)","F",0
508,1,3394,0,0.517757," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 12 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 18 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, a^{2} + 3 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} - b^{2} x^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} x^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} x^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} + b^{2} x^{2} + 2 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} - b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{2} x^{2} \cosh\left(b x + a\right)^{3} - b^{2} x^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b^{3} x^{3} + {\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} - 3 \, b x\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} - 3 \, {\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{2} - 3 \, b x\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a^{3} \cosh\left(b x + a\right)^{4} + 4 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{3} \sinh\left(b x + a\right)^{4} - 2 \, a^{3} \cosh\left(b x + a\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(b x + a\right)^{2} - a^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a^{3} \cosh\left(b x + a\right)^{3} - a^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(a^{3} \cosh\left(b x + a\right)^{4} + 4 \, a^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{3} \sinh\left(b x + a\right)^{4} - 2 \, a^{3} \cosh\left(b x + a\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(b x + a\right)^{2} - a^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a^{3} \cosh\left(b x + a\right)^{3} - a^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(a^{3} - 3 \, {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3}\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} x^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + a^{3} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} x^{3} + a^{3} - 3 \, {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 4 \, {\left({\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(3*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 12*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + 3*(b^2*x^2 - a^2)*sinh(b*x + a)^4 + (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a)^2 + (2*b^3*x^3 - 3*b^2*x^2 + 18*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + 6*a^2)*sinh(b*x + a)^2 - 3*a^2 + 3*((b^2*x^2 - 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 - 1)*cosh(b*x + a)^3 - (b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*(b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 - 2*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2 + 2*(3*b^2*x^2*cosh(b*x + a)^2 - b^2*x^2)*sinh(b*x + a)^2 + 4*(b^2*x^2*cosh(b*x + a)^3 - b^2*x^2*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 3*(b^2*x^2*cosh(b*x + a)^4 + 4*b^2*x^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*x^2*sinh(b*x + a)^4 - 2*b^2*x^2*cosh(b*x + a)^2 + b^2*x^2 + 2*(3*b^2*x^2*cosh(b*x + a)^2 - b^2*x^2)*sinh(b*x + a)^2 + 4*(b^2*x^2*cosh(b*x + a)^3 - b^2*x^2*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 3*((b^2*x^2 - 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 - 1)*cosh(b*x + a)^3 - (b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b^3*x^3 + (b^3*x^3 - 3*b*x)*cosh(b*x + a)^4 + 4*(b^3*x^3 - 3*b*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 - 3*b*x)*sinh(b*x + a)^4 - 2*(b^3*x^3 - 3*b*x)*cosh(b*x + a)^2 - 2*(b^3*x^3 - 3*(b^3*x^3 - 3*b*x)*cosh(b*x + a)^2 - 3*b*x)*sinh(b*x + a)^2 - 3*b*x + 4*((b^3*x^3 - 3*b*x)*cosh(b*x + a)^3 - (b^3*x^3 - 3*b*x)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a^3*cosh(b*x + a)^4 + 4*a^3*cosh(b*x + a)*sinh(b*x + a)^3 + a^3*sinh(b*x + a)^4 - 2*a^3*cosh(b*x + a)^2 + a^3 + 2*(3*a^3*cosh(b*x + a)^2 - a^3)*sinh(b*x + a)^2 + 4*(a^3*cosh(b*x + a)^3 - a^3*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (a^3*cosh(b*x + a)^4 + 4*a^3*cosh(b*x + a)*sinh(b*x + a)^3 + a^3*sinh(b*x + a)^4 - 2*a^3*cosh(b*x + a)^2 + a^3 + 2*(3*a^3*cosh(b*x + a)^2 - a^3)*sinh(b*x + a)^2 + 4*(a^3*cosh(b*x + a)^3 - a^3*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((a^3 - 3*a)*cosh(b*x + a)^4 + 4*(a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^3 - 3*a)*sinh(b*x + a)^4 + a^3 - 2*(a^3 - 3*a)*cosh(b*x + a)^2 - 2*(a^3 - 3*(a^3 - 3*a)*cosh(b*x + a)^2 - 3*a)*sinh(b*x + a)^2 + 4*((a^3 - 3*a)*cosh(b*x + a)^3 - (a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (b^3*x^3 + (b^3*x^3 + a^3)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3)*sinh(b*x + a)^4 + a^3 - 2*(b^3*x^3 + a^3)*cosh(b*x + a)^2 - 2*(b^3*x^3 + a^3 - 3*(b^3*x^3 + a^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^3*x^3 + a^3)*cosh(b*x + a)^3 - (b^3*x^3 + a^3)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - (b^3*x^3 + (b^3*x^3 + a^3)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3)*sinh(b*x + a)^4 + a^3 - 2*(b^3*x^3 + a^3)*cosh(b*x + a)^2 - 2*(b^3*x^3 + a^3 - 3*(b^3*x^3 + a^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^3*x^3 + a^3)*cosh(b*x + a)^3 - (b^3*x^3 + a^3)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (b^3*x^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 4*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*x^3 + a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + a^3 - 2*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 - 2*(b^3*x^3 + a^3 - 3*(b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2 - 3*b*x - 3*a)*sinh(b*x + a)^2 - 3*b*x + 4*((b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3 - (b^3*x^3 + a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a) - 3*a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 6*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(6*(b^2*x^2 - a^2)*cosh(b*x + a)^3 + (2*b^3*x^3 - 3*b^2*x^2 + 6*a^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
509,1,2562,0,0.493203," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 8 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 \, {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(b^{2} x^{2} - b x - 2 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} x^{2} + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - 2 \, a\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - 1\right)} \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) - {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} - 2 \, a^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(b x + a\right)^{3} - a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left(a^{2} \cosh\left(b x + a\right)^{4} + 4 \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a^{2} \sinh\left(b x + a\right)^{4} - 2 \, a^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(b x + a\right)^{3} - a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(a^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} - a^{2} + 1\right)} \sinh\left(b x + a\right)^{2} + a^{2} + 4 \, {\left({\left(a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{2} - 1\right)} \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) - {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} x^{2} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 4 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left(2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} + {\left(b^{2} x^{2} - b x - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 2 \, a}{b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-(2*(b*x + a)*cosh(b*x + a)^4 + 8*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + 2*(b*x + a)*sinh(b*x + a)^4 + 2*(b^2*x^2 - b*x - 2*a)*cosh(b*x + a)^2 + 2*(b^2*x^2 + 6*(b*x + a)*cosh(b*x + a)^2 - b*x - 2*a)*sinh(b*x + a)^2 + 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 2*(b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) + ((b^2*x^2 - 1)*cosh(b*x + a)^4 + 4*(b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - 1)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - 1)*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 + 4*((b^2*x^2 - 1)*cosh(b*x + a)^3 - (b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 - 2*a^2*cosh(b*x + a)^2 + 2*(3*a^2*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 + a^2 + 4*(a^2*cosh(b*x + a)^3 - a^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) - (a^2*cosh(b*x + a)^4 + 4*a^2*cosh(b*x + a)*sinh(b*x + a)^3 + a^2*sinh(b*x + a)^4 - 2*a^2*cosh(b*x + a)^2 + 2*(3*a^2*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 + a^2 + 4*(a^2*cosh(b*x + a)^3 - a^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((a^2 - 1)*cosh(b*x + a)^4 + 4*(a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^3 + (a^2 - 1)*sinh(b*x + a)^4 - 2*(a^2 - 1)*cosh(b*x + a)^2 + 2*(3*(a^2 - 1)*cosh(b*x + a)^2 - a^2 + 1)*sinh(b*x + a)^2 + a^2 + 4*((a^2 - 1)*cosh(b*x + a)^3 - (a^2 - 1)*cosh(b*x + a))*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + ((b^2*x^2 - a^2)*cosh(b*x + a)^4 + 4*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*x^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - 2*(b^2*x^2 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^2 - a^2 + 4*((b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*(2*(b*x + a)*cosh(b*x + a)^3 + (b^2*x^2 - b*x - 2*a)*cosh(b*x + a))*sinh(b*x + a) + 2*a)/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
510,1,1578,0,0.470390," ","integrate(x*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(2 \, b x + 1\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b x \cosh\left(b x + a\right)^{4} + 4 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b x \sinh\left(b x + a\right)^{4} - 2 \, b x \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left(b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(a \cosh\left(b x + a\right)^{4} + 4 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + a \sinh\left(b x + a\right)^{4} - 2 \, a \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 4 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 1}{b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}"," ",0,"-((2*b*x + 1)*cosh(b*x + a)^2 + 2*(2*b*x + 1)*cosh(b*x + a)*sinh(b*x + a) + (2*b*x + 1)*sinh(b*x + a)^2 + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*x*cosh(b*x + a)^4 + 4*b*x*cosh(b*x + a)*sinh(b*x + a)^3 + b*x*sinh(b*x + a)^4 - 2*b*x*cosh(b*x + a)^2 + 2*(3*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 4*(b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (a*cosh(b*x + a)^4 + 4*a*cosh(b*x + a)*sinh(b*x + a)^3 + a*sinh(b*x + a)^4 - 2*a*cosh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 4*(a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + ((b*x + a)*cosh(b*x + a)^4 + 4*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*x + a)*sinh(b*x + a)^4 - 2*(b*x + a)*cosh(b*x + a)^2 + 2*(3*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 4*((b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 1)/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 - 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","C",0
511,1,379,0,0.426341," ","integrate(csch(b*x+a)^3*sech(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)^{2}}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(2*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*cosh(b*x + a)*sinh(b*x + a) + 2*sinh(b*x + a)^2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
512,0,0,0,0.420582," ","integrate(csch(b*x+a)^3*sech(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)/x, x)","F",0
513,0,0,0,0.446350," ","integrate(csch(b*x+a)^3*sech(b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)/x^2, x)","F",0
514,0,0,0,0.412791," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^m*csch(b*x + a)^3*sech(b*x + a)^2, x)","F",0
515,1,5318,0,0.577896," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b^{3} x^{3} \cosh\left(b x + a\right)^{3} - 6 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{5} - 30 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 6 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{5} + 4 \, {\left(b^{3} x^{3} - 15 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + 12 \, {\left(b^{3} x^{3} \cosh\left(b x + a\right) - 5 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{2} - 6 \, {\left(b^{3} x^{3} - b^{2} x^{2}\right)} \cosh\left(b x + a\right) - 3 \, {\left({\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 \, b^{2} x^{2} - 2\right)} \sinh\left(b x + a\right)^{6} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - {\left(3 \, b^{2} x^{2} - 15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} + 4 \, {\left(5 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - 3 \, b^{2} x^{2} - 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(12 i \, b x \cosh\left(b x + a\right)^{6} + 72 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 12 i \, b x \sinh\left(b x + a\right)^{6} - 12 i \, b x \cosh\left(b x + a\right)^{4} + {\left(180 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x\right)} \sinh\left(b x + a\right)^{4} - 12 i \, b x \cosh\left(b x + a\right)^{2} + {\left(240 i \, b x \cosh\left(b x + a\right)^{3} - 48 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(180 i \, b x \cosh\left(b x + a\right)^{4} - 72 i \, b x \cosh\left(b x + a\right)^{2} - 12 i \, b x\right)} \sinh\left(b x + a\right)^{2} + 12 i \, b x + {\left(72 i \, b x \cosh\left(b x + a\right)^{5} - 48 i \, b x \cosh\left(b x + a\right)^{3} - 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-12 i \, b x \cosh\left(b x + a\right)^{6} - 72 i \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 12 i \, b x \sinh\left(b x + a\right)^{6} + 12 i \, b x \cosh\left(b x + a\right)^{4} + {\left(-180 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x\right)} \sinh\left(b x + a\right)^{4} + 12 i \, b x \cosh\left(b x + a\right)^{2} + {\left(-240 i \, b x \cosh\left(b x + a\right)^{3} + 48 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-180 i \, b x \cosh\left(b x + a\right)^{4} + 72 i \, b x \cosh\left(b x + a\right)^{2} + 12 i \, b x\right)} \sinh\left(b x + a\right)^{2} - 12 i \, b x + {\left(-72 i \, b x \cosh\left(b x + a\right)^{5} + 48 i \, b x \cosh\left(b x + a\right)^{3} + 24 i \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 \, b^{2} x^{2} - 2\right)} \sinh\left(b x + a\right)^{6} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - {\left(3 \, b^{2} x^{2} - 15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} + 4 \, {\left(5 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - 3 \, b^{2} x^{2} - 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(b^{3} x^{3} - 2 \, b x\right)} \sinh\left(b x + a\right)^{6} + b^{3} x^{3} - {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{4} - {\left(b^{3} x^{3} - 15 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} x^{3} - 15 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{4} + 6 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x\right)} \sinh\left(b x + a\right)^{2} - 2 \, b x + 2 \, {\left(3 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} - 2 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(6 i \, a^{2} \cosh\left(b x + a\right)^{6} + 36 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 6 i \, a^{2} \sinh\left(b x + a\right)^{6} - 6 i \, a^{2} \cosh\left(b x + a\right)^{4} + {\left(90 i \, a^{2} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - 6 i \, a^{2} \cosh\left(b x + a\right)^{2} + {\left(120 i \, a^{2} \cosh\left(b x + a\right)^{3} - 24 i \, a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(90 i \, a^{2} \cosh\left(b x + a\right)^{4} - 36 i \, a^{2} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 i \, a^{2} + {\left(36 i \, a^{2} \cosh\left(b x + a\right)^{5} - 24 i \, a^{2} \cosh\left(b x + a\right)^{3} - 12 i \, a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-6 i \, a^{2} \cosh\left(b x + a\right)^{6} - 36 i \, a^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 6 i \, a^{2} \sinh\left(b x + a\right)^{6} + 6 i \, a^{2} \cosh\left(b x + a\right)^{4} + {\left(-90 i \, a^{2} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + 6 i \, a^{2} \cosh\left(b x + a\right)^{2} + {\left(-120 i \, a^{2} \cosh\left(b x + a\right)^{3} + 24 i \, a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-90 i \, a^{2} \cosh\left(b x + a\right)^{4} + 36 i \, a^{2} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 6 i \, a^{2} + {\left(-36 i \, a^{2} \cosh\left(b x + a\right)^{5} + 24 i \, a^{2} \cosh\left(b x + a\right)^{3} + 12 i \, a^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + 3 \, {\left({\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(a^{3} - 2 \, a\right)} \sinh\left(b x + a\right)^{6} - {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{4} - {\left(a^{3} - 15 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + a^{3} - {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{4} - a^{3} - 6 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{2} + 2 \, a\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(a^{3} - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{6} + {\left(-36 i \, b^{2} x^{2} + 36 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{6} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(6 i \, b^{2} x^{2} + {\left(-90 i \, b^{2} x^{2} + 90 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} - 6 i \, b^{2} x^{2} + {\left({\left(-120 i \, b^{2} x^{2} + 120 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(24 i \, b^{2} x^{2} - 24 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-90 i \, b^{2} x^{2} + 90 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + 6 i \, b^{2} x^{2} + {\left(36 i \, b^{2} x^{2} - 36 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} + 6 i \, a^{2} + {\left({\left(-36 i \, b^{2} x^{2} + 36 i \, a^{2}\right)} \cosh\left(b x + a\right)^{5} + {\left(24 i \, b^{2} x^{2} - 24 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b^{2} x^{2} - 12 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{6} + {\left(36 i \, b^{2} x^{2} - 36 i \, a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(6 i \, b^{2} x^{2} - 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{6} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-6 i \, b^{2} x^{2} + {\left(90 i \, b^{2} x^{2} - 90 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{4} + 6 i \, b^{2} x^{2} + {\left({\left(120 i \, b^{2} x^{2} - 120 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-24 i \, b^{2} x^{2} + 24 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-6 i \, b^{2} x^{2} + 6 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(90 i \, b^{2} x^{2} - 90 i \, a^{2}\right)} \cosh\left(b x + a\right)^{4} - 6 i \, b^{2} x^{2} + {\left(-36 i \, b^{2} x^{2} + 36 i \, a^{2}\right)} \cosh\left(b x + a\right)^{2} + 6 i \, a^{2}\right)} \sinh\left(b x + a\right)^{2} - 6 i \, a^{2} + {\left({\left(36 i \, b^{2} x^{2} - 36 i \, a^{2}\right)} \cosh\left(b x + a\right)^{5} + {\left(-24 i \, b^{2} x^{2} + 24 i \, a^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b^{2} x^{2} + 12 i \, a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \sinh\left(b x + a\right)^{6} + b^{3} x^{3} - {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{4} - {\left(b^{3} x^{3} + a^{3} - 15 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x - 2 \, a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + a^{3} - {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{3} x^{3} - 15 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{4} + a^{3} + 6 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{2} - 2 \, b x - 2 \, a\right)} \sinh\left(b x + a\right)^{2} - 2 \, b x + 2 \, {\left(3 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} x^{3} + a^{3} - 2 \, b x - 2 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2 \, a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 18 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 18 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 18 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} - b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} - 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(-12 i \, \cosh\left(b x + a\right)^{6} - 72 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 12 i \, \sinh\left(b x + a\right)^{6} + {\left(-180 i \, \cosh\left(b x + a\right)^{2} + 12 i\right)} \sinh\left(b x + a\right)^{4} + 12 i \, \cosh\left(b x + a\right)^{4} + {\left(-240 i \, \cosh\left(b x + a\right)^{3} + 48 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-180 i \, \cosh\left(b x + a\right)^{4} + 72 i \, \cosh\left(b x + a\right)^{2} + 12 i\right)} \sinh\left(b x + a\right)^{2} + 12 i \, \cosh\left(b x + a\right)^{2} + {\left(-72 i \, \cosh\left(b x + a\right)^{5} + 48 i \, \cosh\left(b x + a\right)^{3} + 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 12 i\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(12 i \, \cosh\left(b x + a\right)^{6} + 72 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 12 i \, \sinh\left(b x + a\right)^{6} + {\left(180 i \, \cosh\left(b x + a\right)^{2} - 12 i\right)} \sinh\left(b x + a\right)^{4} - 12 i \, \cosh\left(b x + a\right)^{4} + {\left(240 i \, \cosh\left(b x + a\right)^{3} - 48 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(180 i \, \cosh\left(b x + a\right)^{4} - 72 i \, \cosh\left(b x + a\right)^{2} - 12 i\right)} \sinh\left(b x + a\right)^{2} - 12 i \, \cosh\left(b x + a\right)^{2} + {\left(72 i \, \cosh\left(b x + a\right)^{5} - 48 i \, \cosh\left(b x + a\right)^{3} - 24 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 12 i\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 18 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} - b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} - 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 6 \, {\left(2 \, b^{3} x^{3} \cosh\left(b x + a\right)^{2} - b^{3} x^{3} - 5 \, {\left(b^{3} x^{3} + b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{4} + b^{2} x^{2}\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{6} + 6 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b^{4} \sinh\left(b x + a\right)^{6} - b^{4} \cosh\left(b x + a\right)^{4} - b^{4} \cosh\left(b x + a\right)^{2} + {\left(15 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b^{4} \cosh\left(b x + a\right)^{4} - 6 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{5} - 2 \, b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(4*b^3*x^3*cosh(b*x + a)^3 - 6*(b^3*x^3 + b^2*x^2)*cosh(b*x + a)^5 - 30*(b^3*x^3 + b^2*x^2)*cosh(b*x + a)*sinh(b*x + a)^4 - 6*(b^3*x^3 + b^2*x^2)*sinh(b*x + a)^5 + 4*(b^3*x^3 - 15*(b^3*x^3 + b^2*x^2)*cosh(b*x + a)^2)*sinh(b*x + a)^3 + 12*(b^3*x^3*cosh(b*x + a) - 5*(b^3*x^3 + b^2*x^2)*cosh(b*x + a)^3)*sinh(b*x + a)^2 - 6*(b^3*x^3 - b^2*x^2)*cosh(b*x + a) - 3*((3*b^2*x^2 - 2)*cosh(b*x + a)^6 + 6*(3*b^2*x^2 - 2)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*b^2*x^2 - 2)*sinh(b*x + a)^6 - (3*b^2*x^2 - 2)*cosh(b*x + a)^4 - (3*b^2*x^2 - 15*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^4 + 3*b^2*x^2 + 4*(5*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a)^2 + (15*(3*b^2*x^2 - 2)*cosh(b*x + a)^4 - 3*b^2*x^2 - 6*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 2*(3*(3*b^2*x^2 - 2)*cosh(b*x + a)^5 - 2*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a) - 2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + (12*I*b*x*cosh(b*x + a)^6 + 72*I*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + 12*I*b*x*sinh(b*x + a)^6 - 12*I*b*x*cosh(b*x + a)^4 + (180*I*b*x*cosh(b*x + a)^2 - 12*I*b*x)*sinh(b*x + a)^4 - 12*I*b*x*cosh(b*x + a)^2 + (240*I*b*x*cosh(b*x + a)^3 - 48*I*b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (180*I*b*x*cosh(b*x + a)^4 - 72*I*b*x*cosh(b*x + a)^2 - 12*I*b*x)*sinh(b*x + a)^2 + 12*I*b*x + (72*I*b*x*cosh(b*x + a)^5 - 48*I*b*x*cosh(b*x + a)^3 - 24*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-12*I*b*x*cosh(b*x + a)^6 - 72*I*b*x*cosh(b*x + a)*sinh(b*x + a)^5 - 12*I*b*x*sinh(b*x + a)^6 + 12*I*b*x*cosh(b*x + a)^4 + (-180*I*b*x*cosh(b*x + a)^2 + 12*I*b*x)*sinh(b*x + a)^4 + 12*I*b*x*cosh(b*x + a)^2 + (-240*I*b*x*cosh(b*x + a)^3 + 48*I*b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (-180*I*b*x*cosh(b*x + a)^4 + 72*I*b*x*cosh(b*x + a)^2 + 12*I*b*x)*sinh(b*x + a)^2 - 12*I*b*x + (-72*I*b*x*cosh(b*x + a)^5 + 48*I*b*x*cosh(b*x + a)^3 + 24*I*b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 3*((3*b^2*x^2 - 2)*cosh(b*x + a)^6 + 6*(3*b^2*x^2 - 2)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*b^2*x^2 - 2)*sinh(b*x + a)^6 - (3*b^2*x^2 - 2)*cosh(b*x + a)^4 - (3*b^2*x^2 - 15*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^4 + 3*b^2*x^2 + 4*(5*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a)^2 + (15*(3*b^2*x^2 - 2)*cosh(b*x + a)^4 - 3*b^2*x^2 - 6*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 2*(3*(3*b^2*x^2 - 2)*cosh(b*x + a)^5 - 2*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a) - 2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 3*((b^3*x^3 - 2*b*x)*cosh(b*x + a)^6 + 6*(b^3*x^3 - 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^5 + (b^3*x^3 - 2*b*x)*sinh(b*x + a)^6 + b^3*x^3 - (b^3*x^3 - 2*b*x)*cosh(b*x + a)^4 - (b^3*x^3 - 15*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a)^4 + 4*(5*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^3 - (b^3*x^3 - 2*b*x)*cosh(b*x + a))*sinh(b*x + a)^3 - (b^3*x^3 - 2*b*x)*cosh(b*x + a)^2 - (b^3*x^3 - 15*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^4 + 6*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^2 - 2*b*x)*sinh(b*x + a)^2 - 2*b*x + 2*(3*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^5 - 2*(b^3*x^3 - 2*b*x)*cosh(b*x + a)^3 - (b^3*x^3 - 2*b*x)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (6*I*a^2*cosh(b*x + a)^6 + 36*I*a^2*cosh(b*x + a)*sinh(b*x + a)^5 + 6*I*a^2*sinh(b*x + a)^6 - 6*I*a^2*cosh(b*x + a)^4 + (90*I*a^2*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a)^4 - 6*I*a^2*cosh(b*x + a)^2 + (120*I*a^2*cosh(b*x + a)^3 - 24*I*a^2*cosh(b*x + a))*sinh(b*x + a)^3 + (90*I*a^2*cosh(b*x + a)^4 - 36*I*a^2*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a)^2 + 6*I*a^2 + (36*I*a^2*cosh(b*x + a)^5 - 24*I*a^2*cosh(b*x + a)^3 - 12*I*a^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-6*I*a^2*cosh(b*x + a)^6 - 36*I*a^2*cosh(b*x + a)*sinh(b*x + a)^5 - 6*I*a^2*sinh(b*x + a)^6 + 6*I*a^2*cosh(b*x + a)^4 + (-90*I*a^2*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a)^4 + 6*I*a^2*cosh(b*x + a)^2 + (-120*I*a^2*cosh(b*x + a)^3 + 24*I*a^2*cosh(b*x + a))*sinh(b*x + a)^3 + (-90*I*a^2*cosh(b*x + a)^4 + 36*I*a^2*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a)^2 - 6*I*a^2 + (-36*I*a^2*cosh(b*x + a)^5 + 24*I*a^2*cosh(b*x + a)^3 + 12*I*a^2*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + 3*((a^3 - 2*a)*cosh(b*x + a)^6 + 6*(a^3 - 2*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (a^3 - 2*a)*sinh(b*x + a)^6 - (a^3 - 2*a)*cosh(b*x + a)^4 - (a^3 - 15*(a^3 - 2*a)*cosh(b*x + a)^2 - 2*a)*sinh(b*x + a)^4 + 4*(5*(a^3 - 2*a)*cosh(b*x + a)^3 - (a^3 - 2*a)*cosh(b*x + a))*sinh(b*x + a)^3 + a^3 - (a^3 - 2*a)*cosh(b*x + a)^2 + (15*(a^3 - 2*a)*cosh(b*x + a)^4 - a^3 - 6*(a^3 - 2*a)*cosh(b*x + a)^2 + 2*a)*sinh(b*x + a)^2 + 2*(3*(a^3 - 2*a)*cosh(b*x + a)^5 - 2*(a^3 - 2*a)*cosh(b*x + a)^3 - (a^3 - 2*a)*cosh(b*x + a))*sinh(b*x + a) - 2*a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)^6 + (-36*I*b^2*x^2 + 36*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^5 + (-6*I*b^2*x^2 + 6*I*a^2)*sinh(b*x + a)^6 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)^4 + (6*I*b^2*x^2 + (-90*I*b^2*x^2 + 90*I*a^2)*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a)^4 - 6*I*b^2*x^2 + ((-120*I*b^2*x^2 + 120*I*a^2)*cosh(b*x + a)^3 + (24*I*b^2*x^2 - 24*I*a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + (6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)^2 + ((-90*I*b^2*x^2 + 90*I*a^2)*cosh(b*x + a)^4 + 6*I*b^2*x^2 + (36*I*b^2*x^2 - 36*I*a^2)*cosh(b*x + a)^2 - 6*I*a^2)*sinh(b*x + a)^2 + 6*I*a^2 + ((-36*I*b^2*x^2 + 36*I*a^2)*cosh(b*x + a)^5 + (24*I*b^2*x^2 - 24*I*a^2)*cosh(b*x + a)^3 + (12*I*b^2*x^2 - 12*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((6*I*b^2*x^2 - 6*I*a^2)*cosh(b*x + a)^6 + (36*I*b^2*x^2 - 36*I*a^2)*cosh(b*x + a)*sinh(b*x + a)^5 + (6*I*b^2*x^2 - 6*I*a^2)*sinh(b*x + a)^6 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)^4 + (-6*I*b^2*x^2 + (90*I*b^2*x^2 - 90*I*a^2)*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a)^4 + 6*I*b^2*x^2 + ((120*I*b^2*x^2 - 120*I*a^2)*cosh(b*x + a)^3 + (-24*I*b^2*x^2 + 24*I*a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + (-6*I*b^2*x^2 + 6*I*a^2)*cosh(b*x + a)^2 + ((90*I*b^2*x^2 - 90*I*a^2)*cosh(b*x + a)^4 - 6*I*b^2*x^2 + (-36*I*b^2*x^2 + 36*I*a^2)*cosh(b*x + a)^2 + 6*I*a^2)*sinh(b*x + a)^2 - 6*I*a^2 + ((36*I*b^2*x^2 - 36*I*a^2)*cosh(b*x + a)^5 + (-24*I*b^2*x^2 + 24*I*a^2)*cosh(b*x + a)^3 + (-12*I*b^2*x^2 + 12*I*a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 3*((b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^6 + 6*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (b^3*x^3 + a^3 - 2*b*x - 2*a)*sinh(b*x + a)^6 + b^3*x^3 - (b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^4 - (b^3*x^3 + a^3 - 15*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^2 - 2*b*x - 2*a)*sinh(b*x + a)^4 + 4*(5*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^3 - (b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a))*sinh(b*x + a)^3 + a^3 - (b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^2 - (b^3*x^3 - 15*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^4 + a^3 + 6*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^2 - 2*b*x - 2*a)*sinh(b*x + a)^2 - 2*b*x + 2*(3*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^5 - 2*(b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a)^3 - (b^3*x^3 + a^3 - 2*b*x - 2*a)*cosh(b*x + a))*sinh(b*x + a) - 2*a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 18*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) + 18*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) + 18*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 - b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 2*(3*b*x*cosh(b*x + a)^5 - 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + (-12*I*cosh(b*x + a)^6 - 72*I*cosh(b*x + a)*sinh(b*x + a)^5 - 12*I*sinh(b*x + a)^6 + (-180*I*cosh(b*x + a)^2 + 12*I)*sinh(b*x + a)^4 + 12*I*cosh(b*x + a)^4 + (-240*I*cosh(b*x + a)^3 + 48*I*cosh(b*x + a))*sinh(b*x + a)^3 + (-180*I*cosh(b*x + a)^4 + 72*I*cosh(b*x + a)^2 + 12*I)*sinh(b*x + a)^2 + 12*I*cosh(b*x + a)^2 + (-72*I*cosh(b*x + a)^5 + 48*I*cosh(b*x + a)^3 + 24*I*cosh(b*x + a))*sinh(b*x + a) - 12*I)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (12*I*cosh(b*x + a)^6 + 72*I*cosh(b*x + a)*sinh(b*x + a)^5 + 12*I*sinh(b*x + a)^6 + (180*I*cosh(b*x + a)^2 - 12*I)*sinh(b*x + a)^4 - 12*I*cosh(b*x + a)^4 + (240*I*cosh(b*x + a)^3 - 48*I*cosh(b*x + a))*sinh(b*x + a)^3 + (180*I*cosh(b*x + a)^4 - 72*I*cosh(b*x + a)^2 - 12*I)*sinh(b*x + a)^2 - 12*I*cosh(b*x + a)^2 + (72*I*cosh(b*x + a)^5 - 48*I*cosh(b*x + a)^3 - 24*I*cosh(b*x + a))*sinh(b*x + a) + 12*I)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 18*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 - b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 2*(3*b*x*cosh(b*x + a)^5 - 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 6*(2*b^3*x^3*cosh(b*x + a)^2 - b^3*x^3 - 5*(b^3*x^3 + b^2*x^2)*cosh(b*x + a)^4 + b^2*x^2)*sinh(b*x + a))/(b^4*cosh(b*x + a)^6 + 6*b^4*cosh(b*x + a)*sinh(b*x + a)^5 + b^4*sinh(b*x + a)^6 - b^4*cosh(b*x + a)^4 - b^4*cosh(b*x + a)^2 + (15*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^4 + b^4 + 4*(5*b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b^4*cosh(b*x + a)^4 - 6*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 2*(3*b^4*cosh(b*x + a)^5 - 2*b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
516,1,3772,0,0.545120," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b^{2} x^{2} \cosh\left(b x + a\right)^{3} - 2 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{5} - 10 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 2 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)^{5} + 4 \, {\left(b^{2} x^{2} - 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(3 \, b^{2} x^{2} \cosh\left(b x + a\right) - 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(3 \, b^{2} x^{2} - 2 \, b x\right)} \cosh\left(b x + a\right) - 6 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} - b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} - 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\left(4 i \, \cosh\left(b x + a\right)^{6} + 24 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 4 i \, \sinh\left(b x + a\right)^{6} + {\left(60 i \, \cosh\left(b x + a\right)^{2} - 4 i\right)} \sinh\left(b x + a\right)^{4} - 4 i \, \cosh\left(b x + a\right)^{4} + {\left(80 i \, \cosh\left(b x + a\right)^{3} - 16 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(60 i \, \cosh\left(b x + a\right)^{4} - 24 i \, \cosh\left(b x + a\right)^{2} - 4 i\right)} \sinh\left(b x + a\right)^{2} - 4 i \, \cosh\left(b x + a\right)^{2} + {\left(24 i \, \cosh\left(b x + a\right)^{5} - 16 i \, \cosh\left(b x + a\right)^{3} - 8 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4 i\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-4 i \, \cosh\left(b x + a\right)^{6} - 24 i \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 4 i \, \sinh\left(b x + a\right)^{6} + {\left(-60 i \, \cosh\left(b x + a\right)^{2} + 4 i\right)} \sinh\left(b x + a\right)^{4} + 4 i \, \cosh\left(b x + a\right)^{4} + {\left(-80 i \, \cosh\left(b x + a\right)^{3} + 16 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-60 i \, \cosh\left(b x + a\right)^{4} + 24 i \, \cosh\left(b x + a\right)^{2} + 4 i\right)} \sinh\left(b x + a\right)^{2} + 4 i \, \cosh\left(b x + a\right)^{2} + {\left(-24 i \, \cosh\left(b x + a\right)^{5} + 16 i \, \cosh\left(b x + a\right)^{3} + 8 i \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 4 i\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 6 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} - b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} - 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left({\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 \, b^{2} x^{2} - 2\right)} \sinh\left(b x + a\right)^{6} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - {\left(3 \, b^{2} x^{2} - 15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{4} + 3 \, b^{2} x^{2} + 4 \, {\left(5 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - 3 \, b^{2} x^{2} - 6 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, b^{2} x^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(-4 i \, a \cosh\left(b x + a\right)^{6} - 24 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} - 4 i \, a \sinh\left(b x + a\right)^{6} + 4 i \, a \cosh\left(b x + a\right)^{4} + {\left(-60 i \, a \cosh\left(b x + a\right)^{2} + 4 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(-80 i \, a \cosh\left(b x + a\right)^{3} + 16 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 i \, a \cosh\left(b x + a\right)^{2} + {\left(-60 i \, a \cosh\left(b x + a\right)^{4} + 24 i \, a \cosh\left(b x + a\right)^{2} + 4 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(-24 i \, a \cosh\left(b x + a\right)^{5} + 16 i \, a \cosh\left(b x + a\right)^{3} + 8 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 4 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(4 i \, a \cosh\left(b x + a\right)^{6} + 24 i \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 4 i \, a \sinh\left(b x + a\right)^{6} - 4 i \, a \cosh\left(b x + a\right)^{4} + {\left(60 i \, a \cosh\left(b x + a\right)^{2} - 4 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left(80 i \, a \cosh\left(b x + a\right)^{3} - 16 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 i \, a \cosh\left(b x + a\right)^{2} + {\left(60 i \, a \cosh\left(b x + a\right)^{4} - 24 i \, a \cosh\left(b x + a\right)^{2} - 4 i \, a\right)} \sinh\left(b x + a\right)^{2} + {\left(24 i \, a \cosh\left(b x + a\right)^{5} - 16 i \, a \cosh\left(b x + a\right)^{3} - 8 i \, a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4 i \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(3 \, a^{2} - 2\right)} \sinh\left(b x + a\right)^{6} - {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{4} + {\left(15 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{2} - 3 \, a^{2} + 2\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{4} - 6 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{2} - 3 \, a^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 3 \, a^{2} + 2 \, {\left(3 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)^{3} - {\left(3 \, a^{2} - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 2\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)^{6} + {\left(-24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(-4 i \, b x - 4 i \, a\right)} \sinh\left(b x + a\right)^{6} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(-60 i \, b x - 60 i \, a\right)} \cosh\left(b x + a\right)^{2} + 4 i \, b x + 4 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(-80 i \, b x - 80 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(16 i \, b x + 16 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-60 i \, b x - 60 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right)^{2} + 4 i \, b x + 4 i \, a\right)} \sinh\left(b x + a\right)^{2} - 4 i \, b x + {\left({\left(-24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right)^{5} + {\left(16 i \, b x + 16 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(8 i \, b x + 8 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 4 i \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(4 i \, b x + 4 i \, a\right)} \cosh\left(b x + a\right)^{6} + {\left(24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(4 i \, b x + 4 i \, a\right)} \sinh\left(b x + a\right)^{6} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left({\left(60 i \, b x + 60 i \, a\right)} \cosh\left(b x + a\right)^{2} - 4 i \, b x - 4 i \, a\right)} \sinh\left(b x + a\right)^{4} + {\left({\left(80 i \, b x + 80 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-16 i \, b x - 16 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(-4 i \, b x - 4 i \, a\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(60 i \, b x + 60 i \, a\right)} \cosh\left(b x + a\right)^{4} + {\left(-24 i \, b x - 24 i \, a\right)} \cosh\left(b x + a\right)^{2} - 4 i \, b x - 4 i \, a\right)} \sinh\left(b x + a\right)^{2} + 4 i \, b x + {\left({\left(24 i \, b x + 24 i \, a\right)} \cosh\left(b x + a\right)^{5} + {\left(-16 i \, b x - 16 i \, a\right)} \cosh\left(b x + a\right)^{3} + {\left(-8 i \, b x - 8 i \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 4 i \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 3 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{6} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} - {\left(b^{2} x^{2} - 15 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 4 \, {\left(5 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} - b^{2} x^{2} - 6 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} + a^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 2 \, {\left(3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(6 \, b^{2} x^{2} \cosh\left(b x + a\right)^{2} - 5 \, {\left(3 \, b^{2} x^{2} + 2 \, b x\right)} \cosh\left(b x + a\right)^{4} - 3 \, b^{2} x^{2} + 2 \, b x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{6} + 6 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b^{3} \sinh\left(b x + a\right)^{6} - b^{3} \cosh\left(b x + a\right)^{4} - b^{3} \cosh\left(b x + a\right)^{2} + {\left(15 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b^{3} + {\left(15 \, b^{3} \cosh\left(b x + a\right)^{4} - 6 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{5} - 2 \, b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"1/2*(4*b^2*x^2*cosh(b*x + a)^3 - 2*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^5 - 10*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)*sinh(b*x + a)^4 - 2*(3*b^2*x^2 + 2*b*x)*sinh(b*x + a)^5 + 4*(b^2*x^2 - 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^2)*sinh(b*x + a)^3 + 4*(3*b^2*x^2*cosh(b*x + a) - 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^3)*sinh(b*x + a)^2 - 2*(3*b^2*x^2 - 2*b*x)*cosh(b*x + a) - 6*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 - b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 2*(3*b*x*cosh(b*x + a)^5 - 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) + (4*I*cosh(b*x + a)^6 + 24*I*cosh(b*x + a)*sinh(b*x + a)^5 + 4*I*sinh(b*x + a)^6 + (60*I*cosh(b*x + a)^2 - 4*I)*sinh(b*x + a)^4 - 4*I*cosh(b*x + a)^4 + (80*I*cosh(b*x + a)^3 - 16*I*cosh(b*x + a))*sinh(b*x + a)^3 + (60*I*cosh(b*x + a)^4 - 24*I*cosh(b*x + a)^2 - 4*I)*sinh(b*x + a)^2 - 4*I*cosh(b*x + a)^2 + (24*I*cosh(b*x + a)^5 - 16*I*cosh(b*x + a)^3 - 8*I*cosh(b*x + a))*sinh(b*x + a) + 4*I)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-4*I*cosh(b*x + a)^6 - 24*I*cosh(b*x + a)*sinh(b*x + a)^5 - 4*I*sinh(b*x + a)^6 + (-60*I*cosh(b*x + a)^2 + 4*I)*sinh(b*x + a)^4 + 4*I*cosh(b*x + a)^4 + (-80*I*cosh(b*x + a)^3 + 16*I*cosh(b*x + a))*sinh(b*x + a)^3 + (-60*I*cosh(b*x + a)^4 + 24*I*cosh(b*x + a)^2 + 4*I)*sinh(b*x + a)^2 + 4*I*cosh(b*x + a)^2 + (-24*I*cosh(b*x + a)^5 + 16*I*cosh(b*x + a)^3 + 8*I*cosh(b*x + a))*sinh(b*x + a) - 4*I)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 6*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 - b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 2*(3*b*x*cosh(b*x + a)^5 - 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) + ((3*b^2*x^2 - 2)*cosh(b*x + a)^6 + 6*(3*b^2*x^2 - 2)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*b^2*x^2 - 2)*sinh(b*x + a)^6 - (3*b^2*x^2 - 2)*cosh(b*x + a)^4 - (3*b^2*x^2 - 15*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^4 + 3*b^2*x^2 + 4*(5*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a)^2 + (15*(3*b^2*x^2 - 2)*cosh(b*x + a)^4 - 3*b^2*x^2 - 6*(3*b^2*x^2 - 2)*cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 2*(3*(3*b^2*x^2 - 2)*cosh(b*x + a)^5 - 2*(3*b^2*x^2 - 2)*cosh(b*x + a)^3 - (3*b^2*x^2 - 2)*cosh(b*x + a))*sinh(b*x + a) - 2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (-4*I*a*cosh(b*x + a)^6 - 24*I*a*cosh(b*x + a)*sinh(b*x + a)^5 - 4*I*a*sinh(b*x + a)^6 + 4*I*a*cosh(b*x + a)^4 + (-60*I*a*cosh(b*x + a)^2 + 4*I*a)*sinh(b*x + a)^4 + (-80*I*a*cosh(b*x + a)^3 + 16*I*a*cosh(b*x + a))*sinh(b*x + a)^3 + 4*I*a*cosh(b*x + a)^2 + (-60*I*a*cosh(b*x + a)^4 + 24*I*a*cosh(b*x + a)^2 + 4*I*a)*sinh(b*x + a)^2 + (-24*I*a*cosh(b*x + a)^5 + 16*I*a*cosh(b*x + a)^3 + 8*I*a*cosh(b*x + a))*sinh(b*x + a) - 4*I*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (4*I*a*cosh(b*x + a)^6 + 24*I*a*cosh(b*x + a)*sinh(b*x + a)^5 + 4*I*a*sinh(b*x + a)^6 - 4*I*a*cosh(b*x + a)^4 + (60*I*a*cosh(b*x + a)^2 - 4*I*a)*sinh(b*x + a)^4 + (80*I*a*cosh(b*x + a)^3 - 16*I*a*cosh(b*x + a))*sinh(b*x + a)^3 - 4*I*a*cosh(b*x + a)^2 + (60*I*a*cosh(b*x + a)^4 - 24*I*a*cosh(b*x + a)^2 - 4*I*a)*sinh(b*x + a)^2 + (24*I*a*cosh(b*x + a)^5 - 16*I*a*cosh(b*x + a)^3 - 8*I*a*cosh(b*x + a))*sinh(b*x + a) + 4*I*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((3*a^2 - 2)*cosh(b*x + a)^6 + 6*(3*a^2 - 2)*cosh(b*x + a)*sinh(b*x + a)^5 + (3*a^2 - 2)*sinh(b*x + a)^6 - (3*a^2 - 2)*cosh(b*x + a)^4 + (15*(3*a^2 - 2)*cosh(b*x + a)^2 - 3*a^2 + 2)*sinh(b*x + a)^4 + 4*(5*(3*a^2 - 2)*cosh(b*x + a)^3 - (3*a^2 - 2)*cosh(b*x + a))*sinh(b*x + a)^3 - (3*a^2 - 2)*cosh(b*x + a)^2 + (15*(3*a^2 - 2)*cosh(b*x + a)^4 - 6*(3*a^2 - 2)*cosh(b*x + a)^2 - 3*a^2 + 2)*sinh(b*x + a)^2 + 3*a^2 + 2*(3*(3*a^2 - 2)*cosh(b*x + a)^5 - 2*(3*a^2 - 2)*cosh(b*x + a)^3 - (3*a^2 - 2)*cosh(b*x + a))*sinh(b*x + a) - 2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((-4*I*b*x - 4*I*a)*cosh(b*x + a)^6 + (-24*I*b*x - 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (-4*I*b*x - 4*I*a)*sinh(b*x + a)^6 + (4*I*b*x + 4*I*a)*cosh(b*x + a)^4 + ((-60*I*b*x - 60*I*a)*cosh(b*x + a)^2 + 4*I*b*x + 4*I*a)*sinh(b*x + a)^4 + ((-80*I*b*x - 80*I*a)*cosh(b*x + a)^3 + (16*I*b*x + 16*I*a)*cosh(b*x + a))*sinh(b*x + a)^3 + (4*I*b*x + 4*I*a)*cosh(b*x + a)^2 + ((-60*I*b*x - 60*I*a)*cosh(b*x + a)^4 + (24*I*b*x + 24*I*a)*cosh(b*x + a)^2 + 4*I*b*x + 4*I*a)*sinh(b*x + a)^2 - 4*I*b*x + ((-24*I*b*x - 24*I*a)*cosh(b*x + a)^5 + (16*I*b*x + 16*I*a)*cosh(b*x + a)^3 + (8*I*b*x + 8*I*a)*cosh(b*x + a))*sinh(b*x + a) - 4*I*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((4*I*b*x + 4*I*a)*cosh(b*x + a)^6 + (24*I*b*x + 24*I*a)*cosh(b*x + a)*sinh(b*x + a)^5 + (4*I*b*x + 4*I*a)*sinh(b*x + a)^6 + (-4*I*b*x - 4*I*a)*cosh(b*x + a)^4 + ((60*I*b*x + 60*I*a)*cosh(b*x + a)^2 - 4*I*b*x - 4*I*a)*sinh(b*x + a)^4 + ((80*I*b*x + 80*I*a)*cosh(b*x + a)^3 + (-16*I*b*x - 16*I*a)*cosh(b*x + a))*sinh(b*x + a)^3 + (-4*I*b*x - 4*I*a)*cosh(b*x + a)^2 + ((60*I*b*x + 60*I*a)*cosh(b*x + a)^4 + (-24*I*b*x - 24*I*a)*cosh(b*x + a)^2 - 4*I*b*x - 4*I*a)*sinh(b*x + a)^2 + 4*I*b*x + ((24*I*b*x + 24*I*a)*cosh(b*x + a)^5 + (-16*I*b*x - 16*I*a)*cosh(b*x + a)^3 + (-8*I*b*x - 8*I*a)*cosh(b*x + a))*sinh(b*x + a) + 4*I*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) - 3*((b^2*x^2 - a^2)*cosh(b*x + a)^6 + 6*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^5 + (b^2*x^2 - a^2)*sinh(b*x + a)^6 - (b^2*x^2 - a^2)*cosh(b*x + a)^4 - (b^2*x^2 - 15*(b^2*x^2 - a^2)*cosh(b*x + a)^2 - a^2)*sinh(b*x + a)^4 + b^2*x^2 + 4*(5*(b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a)^2 + (15*(b^2*x^2 - a^2)*cosh(b*x + a)^4 - b^2*x^2 - 6*(b^2*x^2 - a^2)*cosh(b*x + a)^2 + a^2)*sinh(b*x + a)^2 - a^2 + 2*(3*(b^2*x^2 - a^2)*cosh(b*x + a)^5 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^3 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 6*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(6*b^2*x^2*cosh(b*x + a)^2 - 5*(3*b^2*x^2 + 2*b*x)*cosh(b*x + a)^4 - 3*b^2*x^2 + 2*b*x)*sinh(b*x + a))/(b^3*cosh(b*x + a)^6 + 6*b^3*cosh(b*x + a)*sinh(b*x + a)^5 + b^3*sinh(b*x + a)^6 - b^3*cosh(b*x + a)^4 - b^3*cosh(b*x + a)^2 + (15*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^4 + 4*(5*b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a)^3 + b^3 + (15*b^3*cosh(b*x + a)^4 - 6*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 2*(3*b^3*cosh(b*x + a)^5 - 2*b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
517,1,1694,0,0.446618," ","integrate(x*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{5} + 10 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, b x + 1\right)} \sinh\left(b x + a\right)^{5} - 4 \, b x \cosh\left(b x + a\right)^{3} + 4 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} - 3 \, b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 4 \, {\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(3 \, b x - 1\right)} \cosh\left(b x + a\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 3 \, {\left(b x \cosh\left(b x + a\right)^{6} + 6 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b x \sinh\left(b x + a\right)^{6} - b x \cosh\left(b x + a\right)^{4} + {\left(15 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{4} - b x \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b x \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, b x \cosh\left(b x + a\right)^{5} - 2 \, b x \cosh\left(b x + a\right)^{3} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - 3 \, {\left(a \cosh\left(b x + a\right)^{6} + 6 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + a \sinh\left(b x + a\right)^{6} - a \cosh\left(b x + a\right)^{4} + {\left(15 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)^{2} + {\left(15 \, a \cosh\left(b x + a\right)^{4} - 6 \, a \cosh\left(b x + a\right)^{2} - a\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(3 \, a \cosh\left(b x + a\right)^{5} - 2 \, a \cosh\left(b x + a\right)^{3} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 3 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{6} + 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{6} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + {\left(15 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} - 6 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} - b x - a\right)} \sinh\left(b x + a\right)^{2} + b x + 2 \, {\left(3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{5} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(5 \, {\left(3 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} - 6 \, b x \cosh\left(b x + a\right)^{2} + 3 \, b x - 1\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{6} + 6 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b^{2} \sinh\left(b x + a\right)^{6} - b^{2} \cosh\left(b x + a\right)^{4} + {\left(15 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{4} - b^{2} \cosh\left(b x + a\right)^{2} + 4 \, {\left(5 \, b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, b^{2} \cosh\left(b x + a\right)^{4} - 6 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{5} - 2 \, b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(3*b*x + 1)*cosh(b*x + a)^5 + 10*(3*b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^4 + 2*(3*b*x + 1)*sinh(b*x + a)^5 - 4*b*x*cosh(b*x + a)^3 + 4*(5*(3*b*x + 1)*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^3 + 4*(5*(3*b*x + 1)*cosh(b*x + a)^3 - 3*b*x*cosh(b*x + a))*sinh(b*x + a)^2 - 4*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*arctan(cosh(b*x + a) + sinh(b*x + a)) + 2*(3*b*x - 1)*cosh(b*x + a) + 3*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*cosh(b*x + a)^5 - 2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - 3*(b*x*cosh(b*x + a)^6 + 6*b*x*cosh(b*x + a)*sinh(b*x + a)^5 + b*x*sinh(b*x + a)^6 - b*x*cosh(b*x + a)^4 + (15*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^4 - b*x*cosh(b*x + a)^2 + 4*(5*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b*x*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 - b*x)*sinh(b*x + a)^2 + b*x + 2*(3*b*x*cosh(b*x + a)^5 - 2*b*x*cosh(b*x + a)^3 - b*x*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) - 3*(a*cosh(b*x + a)^6 + 6*a*cosh(b*x + a)*sinh(b*x + a)^5 + a*sinh(b*x + a)^6 - a*cosh(b*x + a)^4 + (15*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^4 + 4*(5*a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a)^3 - a*cosh(b*x + a)^2 + (15*a*cosh(b*x + a)^4 - 6*a*cosh(b*x + a)^2 - a)*sinh(b*x + a)^2 + 2*(3*a*cosh(b*x + a)^5 - 2*a*cosh(b*x + a)^3 - a*cosh(b*x + a))*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 3*((b*x + a)*cosh(b*x + a)^6 + 6*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^5 + (b*x + a)*sinh(b*x + a)^6 - (b*x + a)*cosh(b*x + a)^4 + (15*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^4 + 4*(5*(b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a)^3 - (b*x + a)*cosh(b*x + a)^2 + (15*(b*x + a)*cosh(b*x + a)^4 - 6*(b*x + a)*cosh(b*x + a)^2 - b*x - a)*sinh(b*x + a)^2 + b*x + 2*(3*(b*x + a)*cosh(b*x + a)^5 - 2*(b*x + a)*cosh(b*x + a)^3 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(5*(3*b*x + 1)*cosh(b*x + a)^4 - 6*b*x*cosh(b*x + a)^2 + 3*b*x - 1)*sinh(b*x + a))/(b^2*cosh(b*x + a)^6 + 6*b^2*cosh(b*x + a)*sinh(b*x + a)^5 + b^2*sinh(b*x + a)^6 - b^2*cosh(b*x + a)^4 + (15*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^4 - b^2*cosh(b*x + a)^2 + 4*(5*b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a)^3 + (15*b^2*cosh(b*x + a)^4 - 6*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 + b^2 + 2*(3*b^2*cosh(b*x + a)^5 - 2*b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
518,1,709,0,0.434579," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2,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} - 1\right)} \sinh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)^{3} + 12 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{4} - \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, \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} - 2 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)}{2 \, {\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} - b \cosh\left(b x + a\right)^{4} + {\left(15 \, 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} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)^{2} + {\left(15 \, 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} + 2 \, {\left(3 \, 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,"-1/2*(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 - 1)*sinh(b*x + a)^3 - 4*cosh(b*x + a)^3 + 12*(5*cosh(b*x + a)^3 - 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 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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 + (15*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^4 - cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 2*(3*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 - 2*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 - b*cosh(b*x + a)^4 + (15*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^4 + 4*(5*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a)^3 - b*cosh(b*x + a)^2 + (15*b*cosh(b*x + a)^4 - 6*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 2*(3*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
519,0,0,0,0.408470," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)^2/x, x)","F",0
520,0,0,0,0.417660," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)^2/x^2, x)","F",0
521,0,0,0,0.408884," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}, x\right)"," ",0,"integral(x^m*csch(b*x + a)^3*sech(b*x + a)^3, x)","F",0
522,1,6764,0,0.572468," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{6} + 40 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 30 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 12 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{6} + 2 \, {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(2 \, b^{3} x^{3} + 15 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{4} - 3 \, b^{2} x^{2}\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} + 8 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} + 8 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 3 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} + 8 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 3 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} + 8 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left({\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \sinh\left(b x + a\right)^{8} + 2 \, b^{3} x^{3} - 2 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(2 \, b^{3} x^{3} - 35 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{4} - 3 \, b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 8 \, {\left({\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{3} x^{3} - 3 \, b x\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{3} - 3 \, a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{3} + 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{3} - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{8} + 2 \, b^{3} x^{3} - 2 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(2 \, b^{3} x^{3} - 35 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 8 \, {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{8} + 2 \, b^{3} x^{3} - 2 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(2 \, b^{3} x^{3} - 35 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 8 \, {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{8} + 2 \, b^{3} x^{3} - 2 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(2 \, b^{3} x^{3} - 35 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{4} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 2 \, a^{3} + 4 \, {\left(7 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, b x + 8 \, {\left({\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{3} x^{3} + 2 \, a^{3} - 3 \, b x - 3 \, a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 3 \, a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 12 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 12 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 12 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 12 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 12 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 12 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 12 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 12 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 4 \, {\left(3 \, {\left(2 \, b^{3} x^{3} + 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)^{5} + {\left(2 \, b^{3} x^{3} - 3 \, b^{2} x^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{4} \cosh\left(b x + a\right)^{8} + 56 \, b^{4} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b^{4} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b^{4} \sinh\left(b x + a\right)^{8} - 2 \, b^{4} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b^{4} \cosh\left(b x + a\right)^{4} - b^{4}\right)} \sinh\left(b x + a\right)^{4} + b^{4} + 8 \, {\left(7 \, b^{4} \cosh\left(b x + a\right)^{5} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b^{4} \cosh\left(b x + a\right)^{6} - 3 \, b^{4} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b^{4} \cosh\left(b x + a\right)^{7} - b^{4} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)}"," ",0,"-(2*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^6 + 40*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 30*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^2*sinh(b*x + a)^4 + 12*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)*sinh(b*x + a)^5 + 2*(2*b^3*x^3 + 3*b^2*x^2)*sinh(b*x + a)^6 + 2*(2*b^3*x^3 - 3*b^2*x^2)*cosh(b*x + a)^2 + 2*(2*b^3*x^3 + 15*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^4 - 3*b^2*x^2)*sinh(b*x + a)^2 + 3*((2*b^2*x^2 - 1)*cosh(b*x + a)^8 + 56*(2*b^2*x^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^2*x^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^2*x^2 - 1)*sinh(b*x + a)^8 - 2*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 - 2*b^2*x^2 + 1)*sinh(b*x + a)^4 + 2*b^2*x^2 + 8*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^5 - (2*b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^6 - 3*(2*b^2*x^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*b^2*x^2 - 1)*cosh(b*x + a)^7 - (2*b^2*x^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*((2*b^2*x^2 - 1)*cosh(b*x + a)^8 + 56*(2*b^2*x^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^2*x^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^2*x^2 - 1)*sinh(b*x + a)^8 - 2*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 - 2*b^2*x^2 + 1)*sinh(b*x + a)^4 + 2*b^2*x^2 + 8*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^5 - (2*b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^6 - 3*(2*b^2*x^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*b^2*x^2 - 1)*cosh(b*x + a)^7 - (2*b^2*x^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 3*((2*b^2*x^2 - 1)*cosh(b*x + a)^8 + 56*(2*b^2*x^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^2*x^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^2*x^2 - 1)*sinh(b*x + a)^8 - 2*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 - 2*b^2*x^2 + 1)*sinh(b*x + a)^4 + 2*b^2*x^2 + 8*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^5 - (2*b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^6 - 3*(2*b^2*x^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*b^2*x^2 - 1)*cosh(b*x + a)^7 - (2*b^2*x^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 3*((2*b^2*x^2 - 1)*cosh(b*x + a)^8 + 56*(2*b^2*x^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^2*x^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^2*x^2 - 1)*sinh(b*x + a)^8 - 2*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 - 2*b^2*x^2 + 1)*sinh(b*x + a)^4 + 2*b^2*x^2 + 8*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^5 - (2*b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^6 - 3*(2*b^2*x^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*b^2*x^2 - 1)*cosh(b*x + a)^7 - (2*b^2*x^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + ((2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^8 + 56*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^3*x^3 - 3*b*x)*sinh(b*x + a)^8 + 2*b^3*x^3 - 2*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^4 - 2*(2*b^3*x^3 - 35*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^4 - 3*b*x)*sinh(b*x + a)^4 + 8*(7*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^5 - (2*b^3*x^3 - 3*b*x)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^6 - 3*(2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 3*b*x + 8*((2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^7 - (2*b^3*x^3 - 3*b*x)*cosh(b*x + a)^3)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + ((2*a^3 - 3*a)*cosh(b*x + a)^8 + 56*(2*a^3 - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^3 - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^3 - 3*a)*sinh(b*x + a)^8 - 2*(2*a^3 - 3*a)*cosh(b*x + a)^4 + 2*(35*(2*a^3 - 3*a)*cosh(b*x + a)^4 - 2*a^3 + 3*a)*sinh(b*x + a)^4 + 8*(7*(2*a^3 - 3*a)*cosh(b*x + a)^5 - (2*a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*a^3 - 3*a)*cosh(b*x + a)^6 - 3*(2*a^3 - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*a^3 - 3*a)*cosh(b*x + a)^7 - (2*a^3 - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + ((2*a^3 - 3*a)*cosh(b*x + a)^8 + 56*(2*a^3 - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^3 - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^3 - 3*a)*sinh(b*x + a)^8 - 2*(2*a^3 - 3*a)*cosh(b*x + a)^4 + 2*(35*(2*a^3 - 3*a)*cosh(b*x + a)^4 - 2*a^3 + 3*a)*sinh(b*x + a)^4 + 8*(7*(2*a^3 - 3*a)*cosh(b*x + a)^5 - (2*a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*a^3 - 3*a)*cosh(b*x + a)^6 - 3*(2*a^3 - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*a^3 - 3*a)*cosh(b*x + a)^7 - (2*a^3 - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - ((2*a^3 - 3*a)*cosh(b*x + a)^8 + 56*(2*a^3 - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^3 - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^3 - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^3 - 3*a)*sinh(b*x + a)^8 - 2*(2*a^3 - 3*a)*cosh(b*x + a)^4 + 2*(35*(2*a^3 - 3*a)*cosh(b*x + a)^4 - 2*a^3 + 3*a)*sinh(b*x + a)^4 + 8*(7*(2*a^3 - 3*a)*cosh(b*x + a)^5 - (2*a^3 - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*a^3 - 3*a)*cosh(b*x + a)^6 - 3*(2*a^3 - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*a^3 - 3*a)*cosh(b*x + a)^7 - (2*a^3 - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^8 + 56*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^8 + 2*b^3*x^3 - 2*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 - 2*(2*b^3*x^3 - 35*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + 8*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^5 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^6 - 3*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 3*b*x + 8*((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^7 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^8 + 56*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^8 + 2*b^3*x^3 - 2*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 - 2*(2*b^3*x^3 - 35*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + 8*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^5 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^6 - 3*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 3*b*x + 8*((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^7 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + ((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^8 + 56*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^8 + 2*b^3*x^3 - 2*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 - 2*(2*b^3*x^3 - 35*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^4 + 2*a^3 - 3*b*x - 3*a)*sinh(b*x + a)^4 + 8*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^5 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a))*sinh(b*x + a)^3 + 2*a^3 + 4*(7*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^6 - 3*(2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - 3*b*x + 8*((2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^7 - (2*b^3*x^3 + 2*a^3 - 3*b*x - 3*a)*cosh(b*x + a)^3)*sinh(b*x + a) - 3*a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 12*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 12*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 12*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + 12*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 12*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 12*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 12*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 12*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 4*(3*(2*b^3*x^3 + 3*b^2*x^2)*cosh(b*x + a)^5 + (2*b^3*x^3 - 3*b^2*x^2)*cosh(b*x + a))*sinh(b*x + a))/(b^4*cosh(b*x + a)^8 + 56*b^4*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b^4*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b^4*cosh(b*x + a)*sinh(b*x + a)^7 + b^4*sinh(b*x + a)^8 - 2*b^4*cosh(b*x + a)^4 + 2*(35*b^4*cosh(b*x + a)^4 - b^4)*sinh(b*x + a)^4 + b^4 + 8*(7*b^4*cosh(b*x + a)^5 - b^4*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b^4*cosh(b*x + a)^6 - 3*b^4*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(b^4*cosh(b*x + a)^7 - b^4*cosh(b*x + a)^3)*sinh(b*x + a))","C",0
523,1,4779,0,0.549721," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right)^{6} + 80 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 60 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 24 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 4 \, {\left(b^{2} x^{2} + b x\right)} \sinh\left(b x + a\right)^{6} + 4 \, {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)^{2} + 4 \, {\left(15 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right)^{4} + b^{2} x^{2} - b x\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 4 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 4 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + 4 \, {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, b^{2} x^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, b^{2} x^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 2 \, b^{2} x^{2} + 8 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left({\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, b^{2} x^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\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) - {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 \, a^{2} + 8 \, {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) - {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 \, a^{2} + 8 \, {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) - 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(2 \, a^{2} - 1\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{4} - 2 \, a^{2} + 1\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{5} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 \, a^{2} + 8 \, {\left({\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{7} - {\left(2 \, a^{2} - 1\right)} \cosh\left(b x + a\right)^{3}\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) - 2 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 8 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{5} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 8 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{7} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - 2 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 8 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{5} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 8 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{7} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + 2 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b^{2} x^{2} - a^{2}\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{4} - b^{2} x^{2} + a^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} x^{2} + 8 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{5} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - a^{2} + 8 \, {\left({\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{7} - {\left(b^{2} x^{2} - a^{2}\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 4 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 4 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 4 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 4 \, {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 8 \, {\left(3 \, {\left(b^{2} x^{2} + b x\right)} \cosh\left(b x + a\right)^{5} + {\left(b^{2} x^{2} - b x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{b^{3} \cosh\left(b x + a\right)^{8} + 56 \, b^{3} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b^{3} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b^{3} \sinh\left(b x + a\right)^{8} - 2 \, b^{3} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b^{3} \cosh\left(b x + a\right)^{4} - b^{3}\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b^{3} \cosh\left(b x + a\right)^{5} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + b^{3} + 4 \, {\left(7 \, b^{3} \cosh\left(b x + a\right)^{6} - 3 \, b^{3} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b^{3} \cosh\left(b x + a\right)^{7} - b^{3} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)}"," ",0,"-(4*(b^2*x^2 + b*x)*cosh(b*x + a)^6 + 80*(b^2*x^2 + b*x)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 60*(b^2*x^2 + b*x)*cosh(b*x + a)^2*sinh(b*x + a)^4 + 24*(b^2*x^2 + b*x)*cosh(b*x + a)*sinh(b*x + a)^5 + 4*(b^2*x^2 + b*x)*sinh(b*x + a)^6 + 4*(b^2*x^2 - b*x)*cosh(b*x + a)^2 + 4*(15*(b^2*x^2 + b*x)*cosh(b*x + a)^4 + b^2*x^2 - b*x)*sinh(b*x + a)^2 + 4*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 4*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - 4*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 4*(b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) + ((2*b^2*x^2 - 1)*cosh(b*x + a)^8 + 56*(2*b^2*x^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*b^2*x^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*b^2*x^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*b^2*x^2 - 1)*sinh(b*x + a)^8 - 2*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*b^2*x^2 - 1)*cosh(b*x + a)^4 - 2*b^2*x^2 + 1)*sinh(b*x + a)^4 + 2*b^2*x^2 + 8*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^5 - (2*b^2*x^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*b^2*x^2 - 1)*cosh(b*x + a)^6 - 3*(2*b^2*x^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*((2*b^2*x^2 - 1)*cosh(b*x + a)^7 - (2*b^2*x^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - ((2*a^2 - 1)*cosh(b*x + a)^8 + 56*(2*a^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^2 - 1)*sinh(b*x + a)^8 - 2*(2*a^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*a^2 - 1)*cosh(b*x + a)^4 - 2*a^2 + 1)*sinh(b*x + a)^4 + 8*(7*(2*a^2 - 1)*cosh(b*x + a)^5 - (2*a^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*a^2 - 1)*cosh(b*x + a)^6 - 3*(2*a^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 2*a^2 + 8*((2*a^2 - 1)*cosh(b*x + a)^7 - (2*a^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) + I) - ((2*a^2 - 1)*cosh(b*x + a)^8 + 56*(2*a^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^2 - 1)*sinh(b*x + a)^8 - 2*(2*a^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*a^2 - 1)*cosh(b*x + a)^4 - 2*a^2 + 1)*sinh(b*x + a)^4 + 8*(7*(2*a^2 - 1)*cosh(b*x + a)^5 - (2*a^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*a^2 - 1)*cosh(b*x + a)^6 - 3*(2*a^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 2*a^2 + 8*((2*a^2 - 1)*cosh(b*x + a)^7 - (2*a^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((2*a^2 - 1)*cosh(b*x + a)^8 + 56*(2*a^2 - 1)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(2*a^2 - 1)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(2*a^2 - 1)*cosh(b*x + a)*sinh(b*x + a)^7 + (2*a^2 - 1)*sinh(b*x + a)^8 - 2*(2*a^2 - 1)*cosh(b*x + a)^4 + 2*(35*(2*a^2 - 1)*cosh(b*x + a)^4 - 2*a^2 + 1)*sinh(b*x + a)^4 + 8*(7*(2*a^2 - 1)*cosh(b*x + a)^5 - (2*a^2 - 1)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(2*a^2 - 1)*cosh(b*x + a)^6 - 3*(2*a^2 - 1)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 2*a^2 + 8*((2*a^2 - 1)*cosh(b*x + a)^7 - (2*a^2 - 1)*cosh(b*x + a)^3)*sinh(b*x + a) - 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - 2*((b^2*x^2 - a^2)*cosh(b*x + a)^8 + 56*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^7 + (b^2*x^2 - a^2)*sinh(b*x + a)^8 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 2*(35*(b^2*x^2 - a^2)*cosh(b*x + a)^4 - b^2*x^2 + a^2)*sinh(b*x + a)^4 + b^2*x^2 + 8*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^5 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^6 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - a^2 + 8*((b^2*x^2 - a^2)*cosh(b*x + a)^7 - (b^2*x^2 - a^2)*cosh(b*x + a)^3)*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - 2*((b^2*x^2 - a^2)*cosh(b*x + a)^8 + 56*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^7 + (b^2*x^2 - a^2)*sinh(b*x + a)^8 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 2*(35*(b^2*x^2 - a^2)*cosh(b*x + a)^4 - b^2*x^2 + a^2)*sinh(b*x + a)^4 + b^2*x^2 + 8*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^5 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^6 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - a^2 + 8*((b^2*x^2 - a^2)*cosh(b*x + a)^7 - (b^2*x^2 - a^2)*cosh(b*x + a)^3)*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + 2*((b^2*x^2 - a^2)*cosh(b*x + a)^8 + 56*(b^2*x^2 - a^2)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b^2*x^2 - a^2)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b^2*x^2 - a^2)*cosh(b*x + a)*sinh(b*x + a)^7 + (b^2*x^2 - a^2)*sinh(b*x + a)^8 - 2*(b^2*x^2 - a^2)*cosh(b*x + a)^4 + 2*(35*(b^2*x^2 - a^2)*cosh(b*x + a)^4 - b^2*x^2 + a^2)*sinh(b*x + a)^4 + b^2*x^2 + 8*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^5 - (b^2*x^2 - a^2)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b^2*x^2 - a^2)*cosh(b*x + a)^6 - 3*(b^2*x^2 - a^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - a^2 + 8*((b^2*x^2 - a^2)*cosh(b*x + a)^7 - (b^2*x^2 - a^2)*cosh(b*x + a)^3)*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 4*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 4*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 4*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) - 4*(cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 8*(3*(b^2*x^2 + b*x)*cosh(b*x + a)^5 + (b^2*x^2 - b*x)*cosh(b*x + a))*sinh(b*x + a))/(b^3*cosh(b*x + a)^8 + 56*b^3*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b^3*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b^3*cosh(b*x + a)*sinh(b*x + a)^7 + b^3*sinh(b*x + a)^8 - 2*b^3*cosh(b*x + a)^4 + 2*(35*b^3*cosh(b*x + a)^4 - b^3)*sinh(b*x + a)^4 + 8*(7*b^3*cosh(b*x + a)^5 - b^3*cosh(b*x + a))*sinh(b*x + a)^3 + b^3 + 4*(7*b^3*cosh(b*x + a)^6 - 3*b^3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(b^3*cosh(b*x + a)^7 - b^3*cosh(b*x + a)^3)*sinh(b*x + a))","C",0
524,1,3025,0,0.490576," ","integrate(x*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{6} + 20 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 15 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 6 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + {\left(2 \, b x + 1\right)} \sinh\left(b x + a\right)^{6} + {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} + {\left(15 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{4} + 2 \, b x - 1\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b x \cosh\left(b x + a\right)^{8} + 56 \, b x \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b x \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b x \sinh\left(b x + a\right)^{8} - 2 \, b x \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - b x\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - b x \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 3 \, b x \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - b x \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(a \cosh\left(b x + a\right)^{8} + 56 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + a \sinh\left(b x + a\right)^{8} - 2 \, a \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, a \cosh\left(b x + a\right)^{4} - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, a \cosh\left(b x + a\right)^{5} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, a \cosh\left(b x + a\right)^{6} - 3 \, a \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(a \cosh\left(b x + a\right)^{7} - a \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(a \cosh\left(b x + a\right)^{8} + 56 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + a \sinh\left(b x + a\right)^{8} - 2 \, a \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, a \cosh\left(b x + a\right)^{4} - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, a \cosh\left(b x + a\right)^{5} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, a \cosh\left(b x + a\right)^{6} - 3 \, a \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(a \cosh\left(b x + a\right)^{7} - a \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) - {\left(a \cosh\left(b x + a\right)^{8} + 56 \, a \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, a \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, a \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + a \sinh\left(b x + a\right)^{8} - 2 \, a \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, a \cosh\left(b x + a\right)^{4} - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, a \cosh\left(b x + a\right)^{5} - a \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, a \cosh\left(b x + a\right)^{6} - 3 \, a \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(a \cosh\left(b x + a\right)^{7} - a \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} - b x - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{5} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{7} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) - {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} - b x - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{5} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{7} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{8} + 56 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, {\left(b x + a\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + {\left(b x + a\right)} \sinh\left(b x + a\right)^{8} - 2 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{4} - b x - a\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{5} - {\left(b x + a\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(b x + a\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b x + 8 \, {\left({\left(b x + a\right)} \cosh\left(b x + a\right)^{7} - {\left(b x + a\right)} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + a\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(3 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right)^{5} + {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}{b^{2} \cosh\left(b x + a\right)^{8} + 56 \, b^{2} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b^{2} \sinh\left(b x + a\right)^{8} - 2 \, b^{2} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b^{2} \cosh\left(b x + a\right)^{4} - b^{2}\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b^{2} \cosh\left(b x + a\right)^{5} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b^{2} \cosh\left(b x + a\right)^{6} - 3 \, b^{2} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 8 \, {\left(b^{2} \cosh\left(b x + a\right)^{7} - b^{2} \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right)}"," ",0,"-2*((2*b*x + 1)*cosh(b*x + a)^6 + 20*(2*b*x + 1)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 15*(2*b*x + 1)*cosh(b*x + a)^2*sinh(b*x + a)^4 + 6*(2*b*x + 1)*cosh(b*x + a)*sinh(b*x + a)^5 + (2*b*x + 1)*sinh(b*x + a)^6 + (2*b*x - 1)*cosh(b*x + a)^2 + (15*(2*b*x + 1)*cosh(b*x + a)^4 + 2*b*x - 1)*sinh(b*x + a)^2 + (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*x*cosh(b*x + a)^8 + 56*b*x*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*x*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 2*b*x*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - b*x)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - b*x*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*x*cosh(b*x + a)^6 - 3*b*x*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*(b*x*cosh(b*x + a)^7 - b*x*cosh(b*x + a)^3)*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (a*cosh(b*x + a)^8 + 56*a*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*a*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*a*cosh(b*x + a)*sinh(b*x + a)^7 + a*sinh(b*x + a)^8 - 2*a*cosh(b*x + a)^4 + 2*(35*a*cosh(b*x + a)^4 - a)*sinh(b*x + a)^4 + 8*(7*a*cosh(b*x + a)^5 - a*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*a*cosh(b*x + a)^6 - 3*a*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(a*cosh(b*x + a)^7 - a*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (a*cosh(b*x + a)^8 + 56*a*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*a*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*a*cosh(b*x + a)*sinh(b*x + a)^7 + a*sinh(b*x + a)^8 - 2*a*cosh(b*x + a)^4 + 2*(35*a*cosh(b*x + a)^4 - a)*sinh(b*x + a)^4 + 8*(7*a*cosh(b*x + a)^5 - a*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*a*cosh(b*x + a)^6 - 3*a*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(a*cosh(b*x + a)^7 - a*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - I) - (a*cosh(b*x + a)^8 + 56*a*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*a*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*a*cosh(b*x + a)*sinh(b*x + a)^7 + a*sinh(b*x + a)^8 - 2*a*cosh(b*x + a)^4 + 2*(35*a*cosh(b*x + a)^4 - a)*sinh(b*x + a)^4 + 8*(7*a*cosh(b*x + a)^5 - a*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*a*cosh(b*x + a)^6 - 3*a*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(a*cosh(b*x + a)^7 - a*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - ((b*x + a)*cosh(b*x + a)^8 + 56*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^7 + (b*x + a)*sinh(b*x + a)^8 - 2*(b*x + a)*cosh(b*x + a)^4 + 2*(35*(b*x + a)*cosh(b*x + a)^4 - b*x - a)*sinh(b*x + a)^4 + 8*(7*(b*x + a)*cosh(b*x + a)^5 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b*x + a)*cosh(b*x + a)^6 - 3*(b*x + a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*((b*x + a)*cosh(b*x + a)^7 - (b*x + a)*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) - ((b*x + a)*cosh(b*x + a)^8 + 56*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^7 + (b*x + a)*sinh(b*x + a)^8 - 2*(b*x + a)*cosh(b*x + a)^4 + 2*(35*(b*x + a)*cosh(b*x + a)^4 - b*x - a)*sinh(b*x + a)^4 + 8*(7*(b*x + a)*cosh(b*x + a)^5 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b*x + a)*cosh(b*x + a)^6 - 3*(b*x + a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*((b*x + a)*cosh(b*x + a)^7 - (b*x + a)*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + ((b*x + a)*cosh(b*x + a)^8 + 56*(b*x + a)*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*(b*x + a)*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*(b*x + a)*cosh(b*x + a)*sinh(b*x + a)^7 + (b*x + a)*sinh(b*x + a)^8 - 2*(b*x + a)*cosh(b*x + a)^4 + 2*(35*(b*x + a)*cosh(b*x + a)^4 - b*x - a)*sinh(b*x + a)^4 + 8*(7*(b*x + a)*cosh(b*x + a)^5 - (b*x + a)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*(b*x + a)*cosh(b*x + a)^6 - 3*(b*x + a)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b*x + 8*((b*x + a)*cosh(b*x + a)^7 - (b*x + a)*cosh(b*x + a)^3)*sinh(b*x + a) + a)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(3*(2*b*x + 1)*cosh(b*x + a)^5 + (2*b*x - 1)*cosh(b*x + a))*sinh(b*x + a))/(b^2*cosh(b*x + a)^8 + 56*b^2*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b^2*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b^2*cosh(b*x + a)*sinh(b*x + a)^7 + b^2*sinh(b*x + a)^8 - 2*b^2*cosh(b*x + a)^4 + 2*(35*b^2*cosh(b*x + a)^4 - b^2)*sinh(b*x + a)^4 + 8*(7*b^2*cosh(b*x + a)^5 - b^2*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b^2*cosh(b*x + a)^6 - 3*b^2*cosh(b*x + a)^2)*sinh(b*x + a)^2 + b^2 + 8*(b^2*cosh(b*x + a)^7 - b^2*cosh(b*x + a)^3)*sinh(b*x + a))","C",0
525,1,774,0,0.440300," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \cosh\left(b x + a\right)^{6} + 40 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 30 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} + 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 2 \, \sinh\left(b x + a\right)^{6} + 2 \, {\left(15 \, \cosh\left(b x + a\right)^{4} + 1\right)} \sinh\left(b x + a\right)^{2} + 2 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + {\left(\cosh\left(b x + a\right)^{8} + 56 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 1\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 3 \, \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 4 \, {\left(3 \, \cosh\left(b x + a\right)^{5} + \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}{b \cosh\left(b x + a\right)^{8} + 56 \, b \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{5} + 28 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{6} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 2 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - b \cosh\left(b x + a\right)^{3}\right)} \sinh\left(b x + a\right) + b}"," ",0,"-2*(2*cosh(b*x + a)^6 + 40*cosh(b*x + a)^3*sinh(b*x + a)^3 + 30*cosh(b*x + a)^2*sinh(b*x + a)^4 + 12*cosh(b*x + a)*sinh(b*x + a)^5 + 2*sinh(b*x + a)^6 + 2*(15*cosh(b*x + a)^4 + 1)*sinh(b*x + a)^2 + 2*cosh(b*x + a)^2 - (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + (cosh(b*x + a)^8 + 56*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 2*(35*cosh(b*x + a)^4 - 1)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 3*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - cosh(b*x + a)^3)*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 4*(3*cosh(b*x + a)^5 + cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a)^8 + 56*b*cosh(b*x + a)^3*sinh(b*x + a)^5 + 28*b*cosh(b*x + a)^2*sinh(b*x + a)^6 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 2*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - b*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*b*cosh(b*x + a)^6 - 3*b*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - b*cosh(b*x + a)^3)*sinh(b*x + a) + b)","B",0
526,0,0,0,0.417549," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)^3/x, x)","F",0
527,0,0,0,0.413652," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(csch(b*x + a)^3*sech(b*x + a)^3/x^2, x)","F",0
528,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)^(5/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
529,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)^(3/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
530,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)*cosh(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
531,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
532,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
533,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
534,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
535,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(9/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
536,-2,0,0,0.000000," ","integrate(x*sech(b*x+a)^(9/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
537,-2,0,0,0.000000," ","integrate(x*sech(b*x+a)^(7/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
538,-2,0,0,0.000000," ","integrate(x*sech(b*x+a)^(5/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
539,-2,0,0,0.000000," ","integrate(x*sech(b*x+a)^(3/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
540,-2,0,0,0.000000," ","integrate(x*sech(b*x+a)^(1/2)*sinh(b*x+a),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
541,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
542,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
543,-2,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
544,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
545,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
546,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
547,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
548,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
549,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
550,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
551,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(9/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
552,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(9/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
553,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
554,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
555,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
556,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
557,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
558,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
559,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
560,1,53,0,0.436192," ","integrate((sinh(x)*tanh(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)}}{\sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}}"," ",0,"2*sqrt(1/2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)/sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x))","B",0
561,1,95,0,0.410607," ","integrate((sinh(x)*tanh(x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(\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} + 7\right)} \sinh\left(x\right)^{2} + 14 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}{3 \, \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 7)*sinh(x)^2 + 14*cosh(x)^2 + 4*(cosh(x)^3 + 7*cosh(x))*sinh(x) + 1)/(sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x))*(cosh(x) + sinh(x)))","B",0
562,1,253,0,0.421253," ","integrate((sinh(x)*tanh(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, \sinh\left(x\right)^{8} + 12 \, {\left(7 \, \cosh\left(x\right)^{2} - 9\right)} \sinh\left(x\right)^{6} - 108 \, \cosh\left(x\right)^{6} + 24 \, {\left(7 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} - 810 \, \cosh\left(x\right)^{2} - 151\right)} \sinh\left(x\right)^{4} - 302 \, \cosh\left(x\right)^{4} + 8 \, {\left(21 \, \cosh\left(x\right)^{5} - 270 \, \cosh\left(x\right)^{3} - 151 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(7 \, \cosh\left(x\right)^{6} - 135 \, \cosh\left(x\right)^{4} - 151 \, \cosh\left(x\right)^{2} - 9\right)} \sinh\left(x\right)^{2} - 108 \, \cosh\left(x\right)^{2} + 8 \, {\left(3 \, \cosh\left(x\right)^{7} - 81 \, \cosh\left(x\right)^{5} - 151 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}{30 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}}"," ",0,"1/30*sqrt(1/2)*(3*cosh(x)^8 + 24*cosh(x)*sinh(x)^7 + 3*sinh(x)^8 + 12*(7*cosh(x)^2 - 9)*sinh(x)^6 - 108*cosh(x)^6 + 24*(7*cosh(x)^3 - 27*cosh(x))*sinh(x)^5 + 2*(105*cosh(x)^4 - 810*cosh(x)^2 - 151)*sinh(x)^4 - 302*cosh(x)^4 + 8*(21*cosh(x)^5 - 270*cosh(x)^3 - 151*cosh(x))*sinh(x)^3 + 12*(7*cosh(x)^6 - 135*cosh(x)^4 - 151*cosh(x)^2 - 9)*sinh(x)^2 - 108*cosh(x)^2 + 8*(3*cosh(x)^7 - 81*cosh(x)^5 - 151*cosh(x)^3 - 27*cosh(x))*sinh(x) + 3)/((cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(2*cosh(x)^3 + cosh(x))*sinh(x))*sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x)))","B",0
563,1,55,0,0.415637," ","integrate((cosh(x)*coth(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)}}{\sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)}}"," ",0,"2*sqrt(1/2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)/sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x))","B",0
564,1,97,0,0.421568," ","integrate((cosh(x)*coth(x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(\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} - 7\right)} \sinh\left(x\right)^{2} - 14 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}{3 \, \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 7)*sinh(x)^2 - 14*cosh(x)^2 + 4*(cosh(x)^3 - 7*cosh(x))*sinh(x) + 1)/(sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x))*(cosh(x) + sinh(x)))","B",0
565,1,259,0,0.421026," ","integrate((cosh(x)*coth(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, \sinh\left(x\right)^{8} + 12 \, {\left(7 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{6} + 108 \, \cosh\left(x\right)^{6} + 24 \, {\left(7 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} + 810 \, \cosh\left(x\right)^{2} - 151\right)} \sinh\left(x\right)^{4} - 302 \, \cosh\left(x\right)^{4} + 8 \, {\left(21 \, \cosh\left(x\right)^{5} + 270 \, \cosh\left(x\right)^{3} - 151 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(7 \, \cosh\left(x\right)^{6} + 135 \, \cosh\left(x\right)^{4} - 151 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{2} + 108 \, \cosh\left(x\right)^{2} + 8 \, {\left(3 \, \cosh\left(x\right)^{7} + 81 \, \cosh\left(x\right)^{5} - 151 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}{30 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)}}"," ",0,"1/30*sqrt(1/2)*(3*cosh(x)^8 + 24*cosh(x)*sinh(x)^7 + 3*sinh(x)^8 + 12*(7*cosh(x)^2 + 9)*sinh(x)^6 + 108*cosh(x)^6 + 24*(7*cosh(x)^3 + 27*cosh(x))*sinh(x)^5 + 2*(105*cosh(x)^4 + 810*cosh(x)^2 - 151)*sinh(x)^4 - 302*cosh(x)^4 + 8*(21*cosh(x)^5 + 270*cosh(x)^3 - 151*cosh(x))*sinh(x)^3 + 12*(7*cosh(x)^6 + 135*cosh(x)^4 - 151*cosh(x)^2 + 9)*sinh(x)^2 + 108*cosh(x)^2 + 8*(3*cosh(x)^7 + 81*cosh(x)^5 - 151*cosh(x)^3 + 27*cosh(x))*sinh(x) + 3)/((cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x)))","B",0
566,1,167,0,0.431982," ","integrate((b+c+cosh(x))/(a+b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} {\left(b^{2} + b c\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(a^{2} + b^{2}\right)} x + {\left(a^{2} + 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)*(b^2 + b*c)*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^2)*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b + b^3)","B",0
567,1,174,0,0.420607," ","integrate((b+c+cosh(x))/(a-b*sinh(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} {\left(b^{2} + b c\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(a^{2} + b^{2}\right)} x - {\left(a^{2} + 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)*(b^2 + b*c)*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^2)*log(2*(b*sinh(x) - a)/(cosh(x) - sinh(x))))/(a^2*b + b^3)","B",0
568,1,289,0,0.444139," ","integrate((b+c+sinh(x))/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} {\left(b^{2} + b c\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(a^{2} - b^{2}\right)} x + {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} {\left(b^{2} + b c\right)} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} - b^{2}\right)} x - {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}\right]"," ",0,"[(sqrt(a^2 - b^2)*(b^2 + b*c)*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^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b - b^3), -(2*sqrt(-a^2 + b^2)*(b^2 + b*c)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2)) + (a^2 - b^2)*x - (a^2 - b^2)*log(2*(b*cosh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b - b^3)]","B",0
569,1,299,0,0.445936," ","integrate((b+c+sinh(x))/(a-b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} {\left(b^{2} + b c\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(a^{2} - b^{2}\right)} x - {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) - a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}, \frac{2 \, \sqrt{-a^{2} + b^{2}} {\left(b^{2} + b c\right)} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) - a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} - b^{2}\right)} x - {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) - a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}\right]"," ",0,"[(sqrt(a^2 - b^2)*(b^2 + b*c)*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^2)*log(2*(b*cosh(x) - a)/(cosh(x) - sinh(x))))/(a^2*b - b^3), (2*sqrt(-a^2 + b^2)*(b^2 + b*c)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) - a)/(a^2 - b^2)) + (a^2 - b^2)*x - (a^2 - b^2)*log(2*(b*cosh(x) - a)/(cosh(x) - sinh(x))))/(a^2*b - b^3)]","B",0
570,1,134,0,0.415439," ","integrate(x*(b-a*sinh(x))/(a+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(x\right)^{2} + 2 \, b x \sinh\left(x\right)^{2} + 2 \, a x \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) + 2 \, {\left(2 \, b x \cosh\left(x\right) + a x\right)} \sinh\left(x\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*b*x*cosh(x)^2 + 2*b*x*sinh(x)^2 + 2*a*x*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))) + 2*(2*b*x*cosh(x) + a*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
571,1,129,0,0.436957," ","integrate(x*(b+a*cosh(x))/(a+b*cosh(x))^2,x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(x\right)^{2} + 2 \, b x \sinh\left(x\right)^{2} + 2 \, a x \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 \cosh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(2 \, b x \cosh\left(x\right) + a x\right)} \sinh\left(x\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*b*x*cosh(x)^2 + 2*b*x*sinh(x)^2 + 2*a*x*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*cosh(x) + a)/(cosh(x) - sinh(x))) + 2*(2*b*x*cosh(x) + a*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
572,1,249,0,0.773782," ","integrate((a+b*sech(x))/(c+d*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{{\left(a c - b d\right)} \sqrt{c^{2} - d^{2}} \log\left(\frac{d^{2} \cosh\left(x\right)^{2} + d^{2} \sinh\left(x\right)^{2} + 2 \, c d \cosh\left(x\right) + 2 \, c^{2} - d^{2} + 2 \, {\left(d^{2} \cosh\left(x\right) + c d\right)} \sinh\left(x\right) + 2 \, \sqrt{c^{2} - d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{d \cosh\left(x\right)^{2} + d \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left(d \cosh\left(x\right) + c\right)} \sinh\left(x\right) + d}\right) - 2 \, {\left(b c^{2} - b d^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{c^{3} - c d^{2}}, -\frac{2 \, {\left({\left(a c - b d\right)} \sqrt{-c^{2} + d^{2}} \arctan\left(-\frac{\sqrt{-c^{2} + d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{c^{2} - d^{2}}\right) - {\left(b c^{2} - b d^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{c^{3} - c d^{2}}\right]"," ",0,"[-((a*c - b*d)*sqrt(c^2 - d^2)*log((d^2*cosh(x)^2 + d^2*sinh(x)^2 + 2*c*d*cosh(x) + 2*c^2 - d^2 + 2*(d^2*cosh(x) + c*d)*sinh(x) + 2*sqrt(c^2 - d^2)*(d*cosh(x) + d*sinh(x) + c))/(d*cosh(x)^2 + d*sinh(x)^2 + 2*c*cosh(x) + 2*(d*cosh(x) + c)*sinh(x) + d)) - 2*(b*c^2 - b*d^2)*arctan(cosh(x) + sinh(x)))/(c^3 - c*d^2), -2*((a*c - b*d)*sqrt(-c^2 + d^2)*arctan(-sqrt(-c^2 + d^2)*(d*cosh(x) + d*sinh(x) + c)/(c^2 - d^2)) - (b*c^2 - b*d^2)*arctan(cosh(x) + sinh(x)))/(c^3 - c*d^2)]","A",0
573,1,172,0,0.762395," ","integrate((a+b*csch(x))/(c+d*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(a c - b d\right)} \sqrt{c^{2} + d^{2}} \log\left(\frac{d^{2} \cosh\left(x\right)^{2} + d^{2} \sinh\left(x\right)^{2} + 2 \, c d \cosh\left(x\right) + 2 \, c^{2} + d^{2} + 2 \, {\left(d^{2} \cosh\left(x\right) + c d\right)} \sinh\left(x\right) + 2 \, \sqrt{c^{2} + d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{d \cosh\left(x\right)^{2} + d \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left(d \cosh\left(x\right) + c\right)} \sinh\left(x\right) - d}\right) + {\left(b c^{2} + b d^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(b c^{2} + b d^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{c^{3} + c d^{2}}"," ",0,"-((a*c - b*d)*sqrt(c^2 + d^2)*log((d^2*cosh(x)^2 + d^2*sinh(x)^2 + 2*c*d*cosh(x) + 2*c^2 + d^2 + 2*(d^2*cosh(x) + c*d)*sinh(x) + 2*sqrt(c^2 + d^2)*(d*cosh(x) + d*sinh(x) + c))/(d*cosh(x)^2 + d*sinh(x)^2 + 2*c*cosh(x) + 2*(d*cosh(x) + c)*sinh(x) - d)) + (b*c^2 + b*d^2)*log(cosh(x) + sinh(x) + 1) - (b*c^2 + b*d^2)*log(cosh(x) + sinh(x) - 1))/(c^3 + c*d^2)","B",0
574,1,70,0,0.424872," ","integrate((1+sinh(x)^2)/(1-sinh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}\right) - x"," ",0,"1/2*sqrt(2)*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 - 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 - 3)) - x","B",0
575,1,17,0,0.397337," ","integrate((1-sinh(x)^2)/(1+sinh(x)^2),x, algorithm=""fricas"")","-\frac{{\left(x + 2\right)} \cosh\left(x\right) - 2 \, \sinh\left(x\right)}{\cosh\left(x\right)}"," ",0,"-((x + 2)*cosh(x) - 2*sinh(x))/cosh(x)","B",0
576,1,17,0,0.404334," ","integrate((1+cosh(x)^2)/(1-cosh(x)^2),x, algorithm=""fricas"")","-\frac{{\left(x + 2\right)} \sinh\left(x\right) - 2 \, \cosh\left(x\right)}{\sinh\left(x\right)}"," ",0,"-((x + 2)*sinh(x) - 2*cosh(x))/sinh(x)","B",0
577,1,70,0,0.438364," ","integrate((1-cosh(x)^2)/(1+cosh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} - 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 3}\right) - x"," ",0,"1/2*sqrt(2)*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 + 2*sqrt(2) - 3)/(cosh(x)^2 + sinh(x)^2 + 3)) - x","B",0
578,1,598,0,0.790591," ","integrate((a+b*sech(x)^2)/(c+d*cosh(x)),x, algorithm=""fricas"")","\left[-\frac{2 \, b c^{3} - 2 \, b c d^{2} - {\left(a c^{2} + b d^{2} + {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a c^{2} + b d^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{c^{2} - d^{2}} \log\left(\frac{d^{2} \cosh\left(x\right)^{2} + d^{2} \sinh\left(x\right)^{2} + 2 \, c d \cosh\left(x\right) + 2 \, c^{2} - d^{2} + 2 \, {\left(d^{2} \cosh\left(x\right) + c d\right)} \sinh\left(x\right) - 2 \, \sqrt{c^{2} - d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{d \cosh\left(x\right)^{2} + d \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left(d \cosh\left(x\right) + c\right)} \sinh\left(x\right) + d}\right) + 2 \, {\left(b c^{2} d - b d^{3} + {\left(b c^{2} d - b d^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c^{2} d - b d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c^{2} d - b d^{3}\right)} \sinh\left(x\right)^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{c^{4} - c^{2} d^{2} + {\left(c^{4} - c^{2} d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(c^{4} - c^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(c^{4} - c^{2} d^{2}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left(b c^{3} - b c d^{2} + {\left(a c^{2} + b d^{2} + {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a c^{2} + b d^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{-c^{2} + d^{2}} \arctan\left(-\frac{\sqrt{-c^{2} + d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{c^{2} - d^{2}}\right) + {\left(b c^{2} d - b d^{3} + {\left(b c^{2} d - b d^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c^{2} d - b d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c^{2} d - b d^{3}\right)} \sinh\left(x\right)^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{c^{4} - c^{2} d^{2} + {\left(c^{4} - c^{2} d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(c^{4} - c^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(c^{4} - c^{2} d^{2}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-(2*b*c^3 - 2*b*c*d^2 - (a*c^2 + b*d^2 + (a*c^2 + b*d^2)*cosh(x)^2 + 2*(a*c^2 + b*d^2)*cosh(x)*sinh(x) + (a*c^2 + b*d^2)*sinh(x)^2)*sqrt(c^2 - d^2)*log((d^2*cosh(x)^2 + d^2*sinh(x)^2 + 2*c*d*cosh(x) + 2*c^2 - d^2 + 2*(d^2*cosh(x) + c*d)*sinh(x) - 2*sqrt(c^2 - d^2)*(d*cosh(x) + d*sinh(x) + c))/(d*cosh(x)^2 + d*sinh(x)^2 + 2*c*cosh(x) + 2*(d*cosh(x) + c)*sinh(x) + d)) + 2*(b*c^2*d - b*d^3 + (b*c^2*d - b*d^3)*cosh(x)^2 + 2*(b*c^2*d - b*d^3)*cosh(x)*sinh(x) + (b*c^2*d - b*d^3)*sinh(x)^2)*arctan(cosh(x) + sinh(x)))/(c^4 - c^2*d^2 + (c^4 - c^2*d^2)*cosh(x)^2 + 2*(c^4 - c^2*d^2)*cosh(x)*sinh(x) + (c^4 - c^2*d^2)*sinh(x)^2), -2*(b*c^3 - b*c*d^2 + (a*c^2 + b*d^2 + (a*c^2 + b*d^2)*cosh(x)^2 + 2*(a*c^2 + b*d^2)*cosh(x)*sinh(x) + (a*c^2 + b*d^2)*sinh(x)^2)*sqrt(-c^2 + d^2)*arctan(-sqrt(-c^2 + d^2)*(d*cosh(x) + d*sinh(x) + c)/(c^2 - d^2)) + (b*c^2*d - b*d^3 + (b*c^2*d - b*d^3)*cosh(x)^2 + 2*(b*c^2*d - b*d^3)*cosh(x)*sinh(x) + (b*c^2*d - b*d^3)*sinh(x)^2)*arctan(cosh(x) + sinh(x)))/(c^4 - c^2*d^2 + (c^4 - c^2*d^2)*cosh(x)^2 + 2*(c^4 - c^2*d^2)*cosh(x)*sinh(x) + (c^4 - c^2*d^2)*sinh(x)^2)]","B",0
579,1,401,0,0.791243," ","integrate((a+b*csch(x)^2)/(c+d*sinh(x)),x, algorithm=""fricas"")","\frac{2 \, b c^{3} + 2 \, b c d^{2} + {\left(a c^{2} + b d^{2} - {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a c^{2} + b d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a c^{2} + b d^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{c^{2} + d^{2}} \log\left(\frac{d^{2} \cosh\left(x\right)^{2} + d^{2} \sinh\left(x\right)^{2} + 2 \, c d \cosh\left(x\right) + 2 \, c^{2} + d^{2} + 2 \, {\left(d^{2} \cosh\left(x\right) + c d\right)} \sinh\left(x\right) - 2 \, \sqrt{c^{2} + d^{2}} {\left(d \cosh\left(x\right) + d \sinh\left(x\right) + c\right)}}{d \cosh\left(x\right)^{2} + d \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left(d \cosh\left(x\right) + c\right)} \sinh\left(x\right) - d}\right) + {\left(b c^{2} d + b d^{3} - {\left(b c^{2} d + b d^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(b c^{2} d + b d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(b c^{2} d + b d^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(b c^{2} d + b d^{3} - {\left(b c^{2} d + b d^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(b c^{2} d + b d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(b c^{2} d + b d^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{c^{4} + c^{2} d^{2} - {\left(c^{4} + c^{2} d^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(c^{4} + c^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(c^{4} + c^{2} d^{2}\right)} \sinh\left(x\right)^{2}}"," ",0,"(2*b*c^3 + 2*b*c*d^2 + (a*c^2 + b*d^2 - (a*c^2 + b*d^2)*cosh(x)^2 - 2*(a*c^2 + b*d^2)*cosh(x)*sinh(x) - (a*c^2 + b*d^2)*sinh(x)^2)*sqrt(c^2 + d^2)*log((d^2*cosh(x)^2 + d^2*sinh(x)^2 + 2*c*d*cosh(x) + 2*c^2 + d^2 + 2*(d^2*cosh(x) + c*d)*sinh(x) - 2*sqrt(c^2 + d^2)*(d*cosh(x) + d*sinh(x) + c))/(d*cosh(x)^2 + d*sinh(x)^2 + 2*c*cosh(x) + 2*(d*cosh(x) + c)*sinh(x) - d)) + (b*c^2*d + b*d^3 - (b*c^2*d + b*d^3)*cosh(x)^2 - 2*(b*c^2*d + b*d^3)*cosh(x)*sinh(x) - (b*c^2*d + b*d^3)*sinh(x)^2)*log(cosh(x) + sinh(x) + 1) - (b*c^2*d + b*d^3 - (b*c^2*d + b*d^3)*cosh(x)^2 - 2*(b*c^2*d + b*d^3)*cosh(x)*sinh(x) - (b*c^2*d + b*d^3)*sinh(x)^2)*log(cosh(x) + sinh(x) - 1))/(c^4 + c^2*d^2 - (c^4 + c^2*d^2)*cosh(x)^2 - 2*(c^4 + c^2*d^2)*cosh(x)*sinh(x) - (c^4 + c^2*d^2)*sinh(x)^2)","B",0
580,1,9,0,0.404305," ","integrate(a*cosh(x)+b*sinh(x),x, algorithm=""fricas"")","b \cosh\left(x\right) + a \sinh\left(x\right)"," ",0,"b*cosh(x) + a*sinh(x)","A",0
581,1,42,0,0.414298," ","integrate((a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{2} \, a b \cosh\left(x\right)^{2} + \frac{1}{2} \, a b \sinh\left(x\right)^{2} + \frac{1}{2} \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + \frac{1}{2} \, {\left(a^{2} - b^{2}\right)} x"," ",0,"1/2*a*b*cosh(x)^2 + 1/2*a*b*sinh(x)^2 + 1/2*(a^2 + b^2)*cosh(x)*sinh(x) + 1/2*(a^2 - b^2)*x","A",0
582,1,97,0,0.405958," ","integrate((a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} + \frac{1}{4} \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + \frac{1}{12} \, {\left(a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{3} + \frac{3}{4} \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) + \frac{1}{4} \, {\left(3 \, a^{3} - 3 \, a b^{2} + {\left(a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)"," ",0,"1/12*(3*a^2*b + b^3)*cosh(x)^3 + 1/4*(3*a^2*b + b^3)*cosh(x)*sinh(x)^2 + 1/12*(a^3 + 3*a*b^2)*sinh(x)^3 + 3/4*(a^2*b - b^3)*cosh(x) + 1/4*(3*a^3 - 3*a*b^2 + (a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x)","B",0
583,1,168,0,0.430716," ","integrate((a*cosh(x)+b*sinh(x))^4,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{4} + \frac{1}{8} \, {\left(a^{4} + 6 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + \frac{1}{8} \, {\left(a^{3} b + a b^{3}\right)} \sinh\left(x\right)^{4} + \frac{1}{2} \, {\left(a^{3} b - a b^{3}\right)} \cosh\left(x\right)^{2} + \frac{1}{4} \, {\left(2 \, a^{3} b - 2 \, a b^{3} + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + \frac{3}{8} \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x + \frac{1}{8} \, {\left({\left(a^{4} + 6 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"1/8*(a^3*b + a*b^3)*cosh(x)^4 + 1/8*(a^4 + 6*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + 1/8*(a^3*b + a*b^3)*sinh(x)^4 + 1/2*(a^3*b - a*b^3)*cosh(x)^2 + 1/4*(2*a^3*b - 2*a*b^3 + 3*(a^3*b + a*b^3)*cosh(x)^2)*sinh(x)^2 + 3/8*(a^4 - 2*a^2*b^2 + b^4)*x + 1/8*((a^4 + 6*a^2*b^2 + b^4)*cosh(x)^3 + 4*(a^4 - b^4)*cosh(x))*sinh(x)","B",0
584,1,298,0,0.410484," ","integrate((a*cosh(x)+b*sinh(x))^5,x, algorithm=""fricas"")","\frac{1}{80} \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + \frac{1}{16} \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + \frac{1}{80} \, {\left(a^{5} + 10 \, a^{3} b^{2} + 5 \, a b^{4}\right)} \sinh\left(x\right)^{5} + \frac{5}{48} \, {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + \frac{1}{48} \, {\left(5 \, a^{5} + 10 \, a^{3} b^{2} - 15 \, a b^{4} + 6 \, {\left(a^{5} + 10 \, a^{3} b^{2} + 5 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + \frac{1}{16} \, {\left(2 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + \frac{5}{8} \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) + \frac{1}{16} \, {\left(10 \, a^{5} - 20 \, a^{3} b^{2} + 10 \, a b^{4} + {\left(a^{5} + 10 \, a^{3} b^{2} + 5 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(a^{5} + 2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)"," ",0,"1/80*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(x)^5 + 1/16*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(x)*sinh(x)^4 + 1/80*(a^5 + 10*a^3*b^2 + 5*a*b^4)*sinh(x)^5 + 5/48*(3*a^4*b - 2*a^2*b^3 - b^5)*cosh(x)^3 + 1/48*(5*a^5 + 10*a^3*b^2 - 15*a*b^4 + 6*(a^5 + 10*a^3*b^2 + 5*a*b^4)*cosh(x)^2)*sinh(x)^3 + 1/16*(2*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(x)^3 + 5*(3*a^4*b - 2*a^2*b^3 - b^5)*cosh(x))*sinh(x)^2 + 5/8*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x) + 1/16*(10*a^5 - 20*a^3*b^2 + 10*a*b^4 + (a^5 + 10*a^3*b^2 + 5*a*b^4)*cosh(x)^4 + 5*(a^5 + 2*a^3*b^2 - 3*a*b^4)*cosh(x)^2)*sinh(x)","B",0
585,1,148,0,0.424134," ","integrate(1/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right)}{a^{2} - b^{2}}, -\frac{2 \, \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right)}{\sqrt{a^{2} - b^{2}}}\right]"," ",0,"[-sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b))/(a^2 - b^2), -2*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x)))/sqrt(a^2 - b^2)]","A",0
586,1,62,0,0.395697," ","integrate(1/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2}}"," ",0,"-2/((a^2 + 2*a*b + b^2)*cosh(x)^2 + 2*(a^2 + 2*a*b + b^2)*cosh(x)*sinh(x) + (a^2 + 2*a*b + b^2)*sinh(x)^2 + a^2 - b^2)","B",0
587,1,1495,0,0.447833," ","integrate(1/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \sinh\left(x\right)^{3} + {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + 2 \, a b + 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} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, a b + b^{2} + 4 \, {\left({\left(a^{2} + 2 \, a b + 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{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3} - 3 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{2 \, {\left(a^{6} - 2 \, a^{5} b - a^{4} b^{2} + 4 \, a^{3} b^{3} - a^{2} b^{4} - 2 \, a b^{5} + b^{6} + {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 3 \, {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + 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)}}, \frac{{\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \sinh\left(x\right)^{3} - {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + 2 \, a b + 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} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, a b + b^{2} + 4 \, {\left({\left(a^{2} + 2 \, a b + 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}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) - {\left(a^{3} - a^{2} b - a b^{2} + b^{3} - 3 \, {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{a^{6} - 2 \, a^{5} b - a^{4} b^{2} + 4 \, a^{3} b^{3} - a^{2} b^{4} - 2 \, a b^{5} + b^{6} + {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 3 \, {\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{6} + 2 \, a^{5} b - a^{4} b^{2} - 4 \, a^{3} b^{3} - a^{2} b^{4} + 2 \, a b^{5} + 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,"[1/2*(2*(a^3 + a^2*b - a*b^2 - b^3)*cosh(x)^3 + 6*(a^3 + a^2*b - a*b^2 - b^3)*cosh(x)*sinh(x)^2 + 2*(a^3 + a^2*b - a*b^2 - b^3)*sinh(x)^3 + ((a^2 + 2*a*b + b^2)*cosh(x)^4 + 4*(a^2 + 2*a*b + b^2)*cosh(x)*sinh(x)^3 + (a^2 + 2*a*b + b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 + 2*a*b + b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - 2*a*b + b^2 + 4*((a^2 + 2*a*b + b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) - 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x) - 2*(a^3 - a^2*b - a*b^2 + b^3 - 3*(a^3 + a^2*b - a*b^2 - b^3)*cosh(x)^2)*sinh(x))/(a^6 - 2*a^5*b - a^4*b^2 + 4*a^3*b^3 - a^2*b^4 - 2*a*b^5 + b^6 + (a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)^4 + 4*(a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)*sinh(x)^3 + (a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*sinh(x)^4 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 3*(a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)^2)*sinh(x)^2 + 4*((a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)), ((a^3 + a^2*b - a*b^2 - b^3)*cosh(x)^3 + 3*(a^3 + a^2*b - a*b^2 - b^3)*cosh(x)*sinh(x)^2 + (a^3 + a^2*b - a*b^2 - b^3)*sinh(x)^3 - ((a^2 + 2*a*b + b^2)*cosh(x)^4 + 4*(a^2 + 2*a*b + b^2)*cosh(x)*sinh(x)^3 + (a^2 + 2*a*b + b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 + 2*a*b + b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - 2*a*b + b^2 + 4*((a^2 + 2*a*b + b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - (a^3 - a^2*b - a*b^2 + b^3)*cosh(x) - (a^3 - a^2*b - a*b^2 + b^3 - 3*(a^3 + a^2*b - a*b^2 - b^3)*cosh(x)^2)*sinh(x))/(a^6 - 2*a^5*b - a^4*b^2 + 4*a^3*b^3 - a^2*b^4 - 2*a*b^5 + b^6 + (a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)^4 + 4*(a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)*sinh(x)^3 + (a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*sinh(x)^4 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 3*(a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + b^6)*cosh(x)^2)*sinh(x)^2 + 4*((a^6 + 2*a^5*b - a^4*b^2 - 4*a^3*b^3 - a^2*b^4 + 2*a*b^5 + 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
588,1,527,0,0.417055," ","integrate(1/(a*cosh(x)+b*sinh(x))^4,x, algorithm=""fricas"")","-\frac{8 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right) + {\left(a + 2 \, b\right)} \sinh\left(x\right)\right)}}{3 \, {\left({\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{5} + 9 \, a^{4} b + 6 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - 9 \, a b^{4} - 3 \, b^{5} + 10 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, a^{5} + a^{4} b - 4 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \cosh\left(x\right) + {\left(2 \, a^{5} + 4 \, a^{4} b - 4 \, a^{3} b^{2} - 8 \, a^{2} b^{3} + 2 \, a b^{4} + 4 \, b^{5} + 5 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"-8/3*((2*a + b)*cosh(x) + (a + 2*b)*sinh(x))/((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*cosh(x)^5 + 5*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*cosh(x)*sinh(x)^4 + (a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*sinh(x)^5 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^3 + (3*a^5 + 9*a^4*b + 6*a^3*b^2 - 6*a^2*b^3 - 9*a*b^4 - 3*b^5 + 10*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*cosh(x)^2)*sinh(x)^3 + (10*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*cosh(x)^3 + 9*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x))*sinh(x)^2 + 2*(2*a^5 + a^4*b - 4*a^3*b^2 - 2*a^2*b^3 + 2*a*b^4 + b^5)*cosh(x) + (2*a^5 + 4*a^4*b - 4*a^3*b^2 - 8*a^2*b^3 + 2*a*b^4 + 4*b^5 + 5*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*cosh(x)^4 + 9*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^2)*sinh(x))","B",0
589,1,6874,0,0.564220," ","integrate(1/(a*cosh(x)+b*sinh(x))^5,x, algorithm=""fricas"")","\left[\frac{6 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + 6 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \sinh\left(x\right)^{7} + 22 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(11 \, a^{5} + 11 \, a^{4} b - 22 \, a^{3} b^{2} - 22 \, a^{2} b^{3} + 11 \, a b^{4} + 11 \, b^{5} + 63 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 11 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 22 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(11 \, a^{5} - 11 \, a^{4} b - 22 \, a^{3} b^{2} + 22 \, a^{2} b^{3} + 11 \, a b^{4} - 11 \, b^{5} - 105 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 110 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(63 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 110 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} - 33 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4} + 7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, a^{4} - 6 \, a^{2} b^{2} + 3 \, b^{4} + 30 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4} + 8 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4} + 9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) - 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right) + 2 \, {\left(21 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} - 3 \, a^{5} + 9 \, a^{4} b - 6 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 9 \, a b^{4} - 3 \, b^{5} + 55 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} - 33 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{8 \, {\left(a^{10} - 4 \, a^{9} b + 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 4 \, a b^{9} - b^{10} + {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10} + 7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{10} - 15 \, a^{8} b^{2} + 30 \, a^{6} b^{4} - 30 \, a^{4} b^{6} + 15 \, a^{2} b^{8} - 3 \, b^{10} + 35 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10} + 7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{3} + {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{7} + 21 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \sinh\left(x\right)^{7} + 11 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{5} + {\left(11 \, a^{5} + 11 \, a^{4} b - 22 \, a^{3} b^{2} - 22 \, a^{2} b^{3} + 11 \, a b^{4} + 11 \, b^{5} + 63 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 5 \, {\left(21 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 11 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 11 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - {\left(11 \, a^{5} - 11 \, a^{4} b - 22 \, a^{3} b^{2} + 22 \, a^{2} b^{3} + 11 \, a b^{4} - 11 \, b^{5} - 105 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 110 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(63 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 110 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} - 33 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4} + 7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, a^{4} - 6 \, a^{2} b^{2} + 3 \, b^{4} + 30 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4} + 8 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4} + 9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{4} + 2 \, a^{3} b - 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right) + {\left(21 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} - 3 \, a^{5} + 9 \, a^{4} b - 6 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 9 \, a b^{4} - 3 \, b^{5} + 55 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} - 33 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{4 \, {\left(a^{10} - 4 \, a^{9} b + 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 4 \, a b^{9} - b^{10} + {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10} + 7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{10} - 15 \, a^{8} b^{2} + 30 \, a^{6} b^{4} - 30 \, a^{4} b^{6} + 15 \, a^{2} b^{8} - 3 \, b^{10} + 35 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10} + 7 \, {\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{10} + 4 \, a^{9} b + 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 4 \, a b^{9} - b^{10}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} \cosh\left(x\right)^{3} + {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/8*(6*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^7 + 42*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)*sinh(x)^6 + 6*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*sinh(x)^7 + 22*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^5 + 2*(11*a^5 + 11*a^4*b - 22*a^3*b^2 - 22*a^2*b^3 + 11*a*b^4 + 11*b^5 + 63*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^2)*sinh(x)^5 + 10*(21*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^3 + 11*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x))*sinh(x)^4 - 22*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 2*(11*a^5 - 11*a^4*b - 22*a^3*b^2 + 22*a^2*b^3 + 11*a*b^4 - 11*b^5 - 105*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^4 - 110*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2)*sinh(x)^3 + 2*(63*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^5 + 110*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^3 - 33*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x))*sinh(x)^2 - 3*((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^8 + 8*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)*sinh(x)^7 + (a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sinh(x)^8 + 4*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^6 + 4*(a^4 + 2*a^3*b - 2*a*b^3 - b^4 + 7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^3 + 3*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x))*sinh(x)^5 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 2*(35*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^4 + 3*a^4 - 6*a^2*b^2 + 3*b^4 + 30*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4 + 8*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^5 + 10*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 4*(a^4 - 2*a^3*b + 2*a*b^3 - b^4)*cosh(x)^2 + 4*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^6 + 15*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^4 + a^4 - 2*a^3*b + 2*a*b^3 - b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^7 + 3*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^5 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) - 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x) + 2*(21*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^6 - 3*a^5 + 9*a^4*b - 6*a^3*b^2 - 6*a^2*b^3 + 9*a*b^4 - 3*b^5 + 55*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^4 - 33*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x))/(a^10 - 4*a^9*b + 3*a^8*b^2 + 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 4*a*b^9 - b^10 + (a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^8 + 8*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)*sinh(x)^7 + (a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*sinh(x)^8 + 4*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^6 + 4*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10 + 7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^3 + 3*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x))*sinh(x)^5 + 6*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^4 + 2*(3*a^10 - 15*a^8*b^2 + 30*a^6*b^4 - 30*a^4*b^6 + 15*a^2*b^8 - 3*b^10 + 35*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^4 + 30*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^5 + 10*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^3 + 3*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x))*sinh(x)^3 + 4*(a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10)*cosh(x)^2 + 4*(a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10 + 7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^6 + 15*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^4 + 9*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^2)*sinh(x)^2 + 8*((a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^7 + 3*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^5 + 3*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^3 + (a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10)*cosh(x))*sinh(x)), 1/4*(3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^7 + 21*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)*sinh(x)^6 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*sinh(x)^7 + 11*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^5 + (11*a^5 + 11*a^4*b - 22*a^3*b^2 - 22*a^2*b^3 + 11*a*b^4 + 11*b^5 + 63*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^2)*sinh(x)^5 + 5*(21*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^3 + 11*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x))*sinh(x)^4 - 11*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - (11*a^5 - 11*a^4*b - 22*a^3*b^2 + 22*a^2*b^3 + 11*a*b^4 - 11*b^5 - 105*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^4 - 110*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2)*sinh(x)^3 + (63*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^5 + 110*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^3 - 33*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x))*sinh(x)^2 - 3*((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^8 + 8*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)*sinh(x)^7 + (a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sinh(x)^8 + 4*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^6 + 4*(a^4 + 2*a^3*b - 2*a*b^3 - b^4 + 7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^3 + 3*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x))*sinh(x)^5 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 2*(35*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^4 + 3*a^4 - 6*a^2*b^2 + 3*b^4 + 30*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4 + 8*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^5 + 10*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 4*(a^4 - 2*a^3*b + 2*a*b^3 - b^4)*cosh(x)^2 + 4*(7*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^6 + 15*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^4 + a^4 - 2*a^3*b + 2*a*b^3 - b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^7 + 3*(a^4 + 2*a^3*b - 2*a*b^3 - b^4)*cosh(x)^5 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x) + (21*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^6 - 3*a^5 + 9*a^4*b - 6*a^3*b^2 - 6*a^2*b^3 + 9*a*b^4 - 3*b^5 + 55*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^4 - 33*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x))/(a^10 - 4*a^9*b + 3*a^8*b^2 + 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 4*a*b^9 - b^10 + (a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^8 + 8*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)*sinh(x)^7 + (a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*sinh(x)^8 + 4*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^6 + 4*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10 + 7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^3 + 3*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x))*sinh(x)^5 + 6*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^4 + 2*(3*a^10 - 15*a^8*b^2 + 30*a^6*b^4 - 30*a^4*b^6 + 15*a^2*b^8 - 3*b^10 + 35*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^4 + 30*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^5 + 10*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^3 + 3*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x))*sinh(x)^3 + 4*(a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10)*cosh(x)^2 + 4*(a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10 + 7*(a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^6 + 15*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^4 + 9*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^2)*sinh(x)^2 + 8*((a^10 + 4*a^9*b + 3*a^8*b^2 - 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 4*a*b^9 - b^10)*cosh(x)^7 + 3*(a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10)*cosh(x)^5 + 3*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*cosh(x)^3 + (a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10)*cosh(x))*sinh(x))]","B",0
590,0,0,0,0.416570," ","integrate((a*cosh(x)+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}, x\right)"," ",0,"integral(sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
591,0,0,0,0.409754," ","integrate((a*cosh(x)+b*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((a*cosh(x) + b*sinh(x))^(3/2), x)","F",0
592,0,0,0,0.427982," ","integrate((a*cosh(x)+b*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2}\right)} \sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}, x\right)"," ",0,"integral((a^2*cosh(x)^2 + 2*a*b*cosh(x)*sinh(x) + b^2*sinh(x)^2)*sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
593,0,0,0,0.419946," ","integrate(1/(a*cosh(x)+b*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}}, x\right)"," ",0,"integral(1/sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
594,0,0,0,0.426634," ","integrate(1/(a*cosh(x)+b*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}}{a^{2} \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2}}, x\right)"," ",0,"integral(sqrt(a*cosh(x) + b*sinh(x))/(a^2*cosh(x)^2 + 2*a*b*cosh(x)*sinh(x) + b^2*sinh(x)^2), x)","F",0
595,0,0,0,0.418996," ","integrate(1/(a*cosh(x)+b*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}}{a^{3} \cosh\left(x\right)^{3} + 3 \, a^{2} b \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a b^{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{3} \sinh\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cosh(x) + b*sinh(x))/(a^3*cosh(x)^3 + 3*a^2*b*cosh(x)^2*sinh(x) + 3*a*b^2*cosh(x)*sinh(x)^2 + b^3*sinh(x)^3), x)","F",0
596,1,21,0,0.406663," ","integrate(a*cosh(d*x+c)+a*sinh(d*x+c),x, algorithm=""fricas"")","\frac{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)}{d}"," ",0,"(a*cosh(d*x + c) + a*sinh(d*x + c))/d","A",0
597,1,43,0,0.409043," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{a^{2} \cosh\left(d x + c\right) + a^{2} \sinh\left(d x + c\right)}{2 \, {\left(d \cosh\left(d x + c\right) - d \sinh\left(d x + c\right)\right)}}"," ",0,"1/2*(a^2*cosh(d*x + c) + a^2*sinh(d*x + c))/(d*cosh(d*x + c) - d*sinh(d*x + c))","A",0
598,1,64,0,0.404706," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{a^{3} \cosh\left(d x + c\right)^{2} + 2 \, a^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3} \sinh\left(d x + c\right)^{2}}{3 \, {\left(d \cosh\left(d x + c\right) - d \sinh\left(d x + c\right)\right)}}"," ",0,"1/3*(a^3*cosh(d*x + c)^2 + 2*a^3*cosh(d*x + c)*sinh(d*x + c) + a^3*sinh(d*x + c)^2)/(d*cosh(d*x + c) - d*sinh(d*x + c))","B",0
599,1,34,0,0.419673," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^n,x, algorithm=""fricas"")","\frac{\cosh\left(d n x + c n + n \log\left(a\right)\right) + \sinh\left(d n x + c n + n \log\left(a\right)\right)}{d n}"," ",0,"(cosh(d*n*x + c*n + n*log(a)) + sinh(d*n*x + c*n + n*log(a)))/(d*n)","A",0
600,1,23,0,0.398606," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c)),x, algorithm=""fricas"")","-\frac{1}{a d \cosh\left(d x + c\right) + a d \sinh\left(d x + c\right)}"," ",0,"-1/(a*d*cosh(d*x + c) + a*d*sinh(d*x + c))","A",0
601,1,49,0,0.399687," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(a^{2} d \cosh\left(d x + c\right)^{2} + 2 \, a^{2} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{2} d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"-1/2/(a^2*d*cosh(d*x + c)^2 + 2*a^2*d*cosh(d*x + c)*sinh(d*x + c) + a^2*d*sinh(d*x + c)^2)","B",0
602,1,71,0,0.400951," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^3,x, algorithm=""fricas"")","-\frac{1}{3 \, {\left(a^{3} d \cosh\left(d x + c\right)^{3} + 3 \, a^{3} d \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, a^{3} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + a^{3} d \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"-1/3/(a^3*d*cosh(d*x + c)^3 + 3*a^3*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*a^3*d*cosh(d*x + c)*sinh(d*x + c)^2 + a^3*d*sinh(d*x + c)^3)","B",0
603,1,24,0,0.378661," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)}}{d}"," ",0,"2*sqrt(a*cosh(d*x + c) + a*sinh(d*x + c))/d","A",0
604,1,42,0,0.400114," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)}}{a d \cosh\left(d x + c\right) + a d \sinh\left(d x + c\right)}"," ",0,"-2*sqrt(a*cosh(d*x + c) + a*sinh(d*x + c))/(a*d*cosh(d*x + c) + a*d*sinh(d*x + c))","A",0
605,1,22,0,0.383738," ","integrate(a*cosh(d*x+c)-a*sinh(d*x+c),x, algorithm=""fricas"")","-\frac{a}{d \cosh\left(d x + c\right) + d \sinh\left(d x + c\right)}"," ",0,"-a/(d*cosh(d*x + c) + d*sinh(d*x + c))","A",0
606,1,43,0,0.382556," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{a^{2}}{2 \, {\left(d \cosh\left(d x + c\right)^{2} + 2 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"-1/2*a^2/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2)","A",0
607,1,62,0,0.399995," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^3,x, algorithm=""fricas"")","-\frac{a^{3}}{3 \, {\left(d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + d \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"-1/3*a^3/(d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*d*cosh(d*x + c)*sinh(d*x + c)^2 + d*sinh(d*x + c)^3)","B",0
608,1,39,0,0.403720," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^n,x, algorithm=""fricas"")","-\frac{\cosh\left(-d n x - c n + n \log\left(a\right)\right) + \sinh\left(-d n x - c n + n \log\left(a\right)\right)}{d n}"," ",0,"-(cosh(-d*n*x - c*n + n*log(a)) + sinh(-d*n*x - c*n + n*log(a)))/(d*n)","A",0
609,1,20,0,0.408571," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}{a d}"," ",0,"(cosh(d*x + c) + sinh(d*x + c))/(a*d)","A",0
610,1,41,0,0.825260," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}{2 \, {\left(a^{2} d \cosh\left(d x + c\right) - a^{2} d \sinh\left(d x + c\right)\right)}}"," ",0,"1/2*(cosh(d*x + c) + sinh(d*x + c))/(a^2*d*cosh(d*x + c) - a^2*d*sinh(d*x + c))","A",0
611,1,59,0,0.419039," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{\cosh\left(d x + c\right)^{2} + 2 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right) + \sinh\left(d x + c\right)^{2}}{3 \, {\left(a^{3} d \cosh\left(d x + c\right) - a^{3} d \sinh\left(d x + c\right)\right)}}"," ",0,"1/3*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)/(a^3*d*cosh(d*x + c) - a^3*d*sinh(d*x + c))","B",0
612,1,24,0,0.429518," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}}}{d}"," ",0,"-2*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))/d","A",0
613,1,40,0,0.417041," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{a}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right)}} {\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)}}{a d}"," ",0,"2*sqrt(a/(cosh(d*x + c) + sinh(d*x + c)))*(cosh(d*x + c) + sinh(d*x + c))/(a*d)","A",0
614,1,2040,0,0.456396," ","integrate((a*sech(x)+b*tanh(x))^5,x, algorithm=""fricas"")","-\frac{4 \, b^{5} x \cosh\left(x\right)^{8} + 4 \, b^{5} x \sinh\left(x\right)^{8} - {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{7} + {\left(32 \, b^{5} x \cosh\left(x\right) - 3 \, a^{5} - 10 \, a^{3} b^{2} + 25 \, a b^{4}\right)} \sinh\left(x\right)^{7} + 16 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{6} + {\left(112 \, b^{5} x \cosh\left(x\right)^{2} + 16 \, b^{5} x + 80 \, a^{2} b^{3} - 16 \, b^{5} - 7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 4 \, b^{5} x - {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + {\left(224 \, b^{5} x \cosh\left(x\right)^{3} - 11 \, a^{5} + 70 \, a^{3} b^{2} - 15 \, a b^{4} - 21 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 96 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, {\left(3 \, b^{5} x + 10 \, a^{4} b - 2 \, b^{5}\right)} \cosh\left(x\right)^{4} + {\left(280 \, b^{5} x \cosh\left(x\right)^{4} + 24 \, b^{5} x + 80 \, a^{4} b - 16 \, b^{5} - 35 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 240 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(224 \, b^{5} x \cosh\left(x\right)^{5} + 11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4} - 35 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 320 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} - 10 \, {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 32 \, {\left(3 \, b^{5} x + 10 \, a^{4} b - 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 16 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + {\left(112 \, b^{5} x \cosh\left(x\right)^{6} + 16 \, b^{5} x - 21 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 80 \, a^{2} b^{3} - 16 \, b^{5} + 240 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 48 \, {\left(3 \, b^{5} x + 10 \, a^{4} b - 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(11 \, a^{5} - 70 \, 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} - 25 \, 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 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(32 \, b^{5} x \cosh\left(x\right)^{7} - 7 \, {\left(3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 96 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, a^{5} + 10 \, a^{3} b^{2} - 25 \, a b^{4} - 5 \, {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 32 \, {\left(3 \, b^{5} x + 10 \, a^{4} b - 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(11 \, a^{5} - 70 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 32 \, {\left(b^{5} x + 5 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{4 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 4 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \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)} \sinh\left(x\right)^{2} + 4 \, \cosh\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)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/4*(4*b^5*x*cosh(x)^8 + 4*b^5*x*sinh(x)^8 - (3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^7 + (32*b^5*x*cosh(x) - 3*a^5 - 10*a^3*b^2 + 25*a*b^4)*sinh(x)^7 + 16*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^6 + (112*b^5*x*cosh(x)^2 + 16*b^5*x + 80*a^2*b^3 - 16*b^5 - 7*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x))*sinh(x)^6 + 4*b^5*x - (11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + (224*b^5*x*cosh(x)^3 - 11*a^5 + 70*a^3*b^2 - 15*a*b^4 - 21*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^2 + 96*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x))*sinh(x)^5 + 8*(3*b^5*x + 10*a^4*b - 2*b^5)*cosh(x)^4 + (280*b^5*x*cosh(x)^4 + 24*b^5*x + 80*a^4*b - 16*b^5 - 35*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^3 + 240*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^2 - 5*(11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^4 + (11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (224*b^5*x*cosh(x)^5 + 11*a^5 - 70*a^3*b^2 + 15*a*b^4 - 35*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^4 + 320*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^3 - 10*(11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 32*(3*b^5*x + 10*a^4*b - 2*b^5)*cosh(x))*sinh(x)^3 + 16*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^2 + (112*b^5*x*cosh(x)^6 + 16*b^5*x - 21*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^5 + 80*a^2*b^3 - 16*b^5 + 240*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^4 - 10*(11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 48*(3*b^5*x + 10*a^4*b - 2*b^5)*cosh(x)^2 + 3*(11*a^5 - 70*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 - 25*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*cosh(x)/(cosh(x) - sinh(x))) + (32*b^5*x*cosh(x)^7 - 7*(3*a^5 + 10*a^3*b^2 - 25*a*b^4)*cosh(x)^6 + 96*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x)^5 + 3*a^5 + 10*a^3*b^2 - 25*a*b^4 - 5*(11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 32*(3*b^5*x + 10*a^4*b - 2*b^5)*cosh(x)^3 + 3*(11*a^5 - 70*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 32*(b^5*x + 5*a^2*b^3 - b^5)*cosh(x))*sinh(x))/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 + 1)*sinh(x)^6 + 4*cosh(x)^6 + 8*(7*cosh(x)^3 + 3*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 + 30*cosh(x)^2 + 3)*sinh(x)^4 + 6*cosh(x)^4 + 8*(7*cosh(x)^5 + 10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 15*cosh(x)^4 + 9*cosh(x)^2 + 1)*sinh(x)^2 + 4*cosh(x)^2 + 8*(cosh(x)^7 + 3*cosh(x)^5 + 3*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
615,1,207,0,0.395617," ","integrate((a*sech(x)+b*tanh(x))^4,x, algorithm=""fricas"")","-\frac{24 \, a b^{3} \cosh\left(x\right)^{2} + 16 \, a^{3} b + 8 \, a b^{3} - {\left(3 \, b^{4} x - 2 \, a^{4} - 6 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{4} + 3 \, a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{3} + 3 \, {\left(8 \, a b^{3} - {\left(3 \, b^{4} x - 2 \, a^{4} - 6 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(3 \, b^{4} x - 2 \, a^{4} - 6 \, a^{2} b^{2} + 4 \, b^{4}\right)} \cosh\left(x\right) - 6 \, {\left(a^{4} - 3 \, a^{2} b^{2} + {\left(a^{4} + 3 \, a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)\right)}}"," ",0,"-1/3*(24*a*b^3*cosh(x)^2 + 16*a^3*b + 8*a*b^3 - (3*b^4*x - 2*a^4 - 6*a^2*b^2 + 4*b^4)*cosh(x)^3 - 2*(a^4 + 3*a^2*b^2 - 2*b^4)*sinh(x)^3 + 3*(8*a*b^3 - (3*b^4*x - 2*a^4 - 6*a^2*b^2 + 4*b^4)*cosh(x))*sinh(x)^2 - 3*(3*b^4*x - 2*a^4 - 6*a^2*b^2 + 4*b^4)*cosh(x) - 6*(a^4 - 3*a^2*b^2 + (a^4 + 3*a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x))/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + 3*cosh(x))","B",0
616,1,502,0,0.414280," ","integrate((a*sech(x)+b*tanh(x))^3,x, algorithm=""fricas"")","-\frac{b^{3} x \cosh\left(x\right)^{4} + b^{3} x \sinh\left(x\right)^{4} + b^{3} x - {\left(a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(4 \, b^{3} x \cosh\left(x\right) - a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(b^{3} x + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + {\left(6 \, b^{3} x \cosh\left(x\right)^{2} + 2 \, b^{3} x + 6 \, a^{2} b - 2 \, b^{3} - 3 \, {\left(a^{3} - 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} - 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 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(4 \, b^{3} x \cosh\left(x\right)^{3} + a^{3} - 3 \, a b^{2} - 3 \, {\left(a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{3} x + 3 \, a^{2} b - b^{3}\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}"," ",0,"-(b^3*x*cosh(x)^4 + b^3*x*sinh(x)^4 + b^3*x - (a^3 - 3*a*b^2)*cosh(x)^3 + (4*b^3*x*cosh(x) - a^3 + 3*a*b^2)*sinh(x)^3 + 2*(b^3*x + 3*a^2*b - b^3)*cosh(x)^2 + (6*b^3*x*cosh(x)^2 + 2*b^3*x + 6*a^2*b - 2*b^3 - 3*(a^3 - 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 - 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*cosh(x)/(cosh(x) - sinh(x))) + (4*b^3*x*cosh(x)^3 + a^3 - 3*a*b^2 - 3*(a^3 - 3*a*b^2)*cosh(x)^2 + 4*(b^3*x + 3*a^2*b - b^3)*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)","B",0
617,1,42,0,0.385920," ","integrate((a*sech(x)+b*tanh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, a b - {\left(b^{2} x - a^{2} + b^{2}\right)} \cosh\left(x\right) - {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)}{\cosh\left(x\right)}"," ",0,"-(2*a*b - (b^2*x - a^2 + b^2)*cosh(x) - (a^2 - b^2)*sinh(x))/cosh(x)","A",0
618,1,30,0,0.443311," ","integrate(a*sech(x)+b*tanh(x),x, algorithm=""fricas"")","-b x + 2 \, a \arctan\left(\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)"," ",0,"-b*x + 2*a*arctan(cosh(x) + sinh(x)) + b*log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
619,1,27,0,0.410095," ","integrate(1/(a*sech(x)+b*tanh(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
620,1,362,0,0.421482," ","integrate(1/(a*sech(x)+b*tanh(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
621,1,543,0,0.417144," ","integrate(1/(a*sech(x)+b*tanh(x))^3,x, algorithm=""fricas"")","-\frac{b^{2} x \cosh\left(x\right)^{4} + b^{2} x \sinh\left(x\right)^{4} + 4 \, {\left(a b x - a b\right)} \cosh\left(x\right)^{3} + 4 \, {\left(b^{2} x \cosh\left(x\right) + a b x - a b\right)} \sinh\left(x\right)^{3} + b^{2} x - 2 \, {\left(3 \, a^{2} - b^{2} - {\left(2 \, a^{2} - b^{2}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} x \cosh\left(x\right)^{2} - 3 \, a^{2} + b^{2} + {\left(2 \, a^{2} - b^{2}\right)} x + 6 \, {\left(a b x - a b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 4 \, {\left(a b x - a b\right)} \cosh\left(x\right) - {\left(b^{2} \cosh\left(x\right)^{4} + b^{2} \sinh\left(x\right)^{4} + 4 \, a b \cosh\left(x\right)^{3} + 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(2 \, a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 6 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + 3 \, a b \cosh\left(x\right)^{2} - a b + {\left(2 \, 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) + 4 \, {\left(b^{2} x \cosh\left(x\right)^{3} - a b x + 3 \, {\left(a b x - a b\right)} \cosh\left(x\right)^{2} + a b - {\left(3 \, a^{2} - b^{2} - {\left(2 \, a^{2} - b^{2}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{b^{5} \cosh\left(x\right)^{4} + b^{5} \sinh\left(x\right)^{4} + 4 \, a b^{4} \cosh\left(x\right)^{3} - 4 \, a b^{4} \cosh\left(x\right) + b^{5} + 4 \, {\left(b^{5} \cosh\left(x\right) + a b^{4}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{5} \cosh\left(x\right)^{2} + 6 \, a b^{4} \cosh\left(x\right) + 2 \, a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{5} \cosh\left(x\right)^{3} + 3 \, a b^{4} \cosh\left(x\right)^{2} - a b^{4} + {\left(2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(b^2*x*cosh(x)^4 + b^2*x*sinh(x)^4 + 4*(a*b*x - a*b)*cosh(x)^3 + 4*(b^2*x*cosh(x) + a*b*x - a*b)*sinh(x)^3 + b^2*x - 2*(3*a^2 - b^2 - (2*a^2 - b^2)*x)*cosh(x)^2 + 2*(3*b^2*x*cosh(x)^2 - 3*a^2 + b^2 + (2*a^2 - b^2)*x + 6*(a*b*x - a*b)*cosh(x))*sinh(x)^2 - 4*(a*b*x - a*b)*cosh(x) - (b^2*cosh(x)^4 + b^2*sinh(x)^4 + 4*a*b*cosh(x)^3 + 4*(b^2*cosh(x) + a*b)*sinh(x)^3 - 4*a*b*cosh(x) + 2*(2*a^2 - b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 6*a*b*cosh(x) + 2*a^2 - b^2)*sinh(x)^2 + b^2 + 4*(b^2*cosh(x)^3 + 3*a*b*cosh(x)^2 - a*b + (2*a^2 - b^2)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 4*(b^2*x*cosh(x)^3 - a*b*x + 3*(a*b*x - a*b)*cosh(x)^2 + a*b - (3*a^2 - b^2 - (2*a^2 - b^2)*x)*cosh(x))*sinh(x))/(b^5*cosh(x)^4 + b^5*sinh(x)^4 + 4*a*b^4*cosh(x)^3 - 4*a*b^4*cosh(x) + b^5 + 4*(b^5*cosh(x) + a*b^4)*sinh(x)^3 + 2*(2*a^2*b^3 - b^5)*cosh(x)^2 + 2*(3*b^5*cosh(x)^2 + 6*a*b^4*cosh(x) + 2*a^2*b^3 - b^5)*sinh(x)^2 + 4*(b^5*cosh(x)^3 + 3*a*b^4*cosh(x)^2 - a*b^4 + (2*a^2*b^3 - b^5)*cosh(x))*sinh(x))","B",0
622,1,2978,0,0.490875," ","integrate(1/(a*sech(x)+b*tanh(x))^4,x, algorithm=""fricas"")","-\frac{6 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \sinh\left(x\right)^{6} - 22 \, a^{4} b^{3} - 38 \, a^{2} b^{5} - 16 \, b^{7} + 6 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{5} + 6 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right) + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \sinh\left(x\right)^{5} + 6 \, {\left(18 \, a^{6} b + 27 \, a^{4} b^{3} + 5 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{4} + 6 \, {\left(18 \, a^{6} b + 27 \, a^{4} b^{3} + 5 \, a^{2} b^{5} - 4 \, b^{7} + 15 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x + 5 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(22 \, a^{7} + 5 \, a^{5} b^{2} - 41 \, a^{3} b^{4} - 24 \, a b^{6} + 6 \, {\left(2 \, a^{7} + a^{5} b^{2} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 4 \, {\left(22 \, a^{7} + 5 \, a^{5} b^{2} - 41 \, a^{3} b^{4} - 24 \, a b^{6} + 30 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right)^{3} + 15 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{7} + a^{5} b^{2} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} x + 6 \, {\left(18 \, a^{6} b + 27 \, a^{4} b^{3} + 5 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 6 \, {\left(26 \, a^{6} b + 38 \, a^{4} b^{3} + 8 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{2} - 6 \, {\left(26 \, a^{6} b + 38 \, a^{4} b^{3} + 8 \, a^{2} b^{5} - 4 \, b^{7} - 15 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right)^{4} - 10 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} - 6 \, {\left(18 \, a^{6} b + 27 \, a^{4} b^{3} + 5 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x - 2 \, {\left(22 \, a^{7} + 5 \, a^{5} b^{2} - 41 \, a^{3} b^{4} - 24 \, a b^{6} + 6 \, {\left(2 \, a^{7} + a^{5} b^{2} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{6} + {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \sinh\left(x\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(x\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(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(4 \, a^{6} - 9 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(4 \, a^{6} - 9 \, a^{2} b^{4} + 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5} - 5 \, {\left(2 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(4 \, a^{6} - 9 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\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(x\right)^{5} + 5 \, {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, a^{6} - 9 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} - {\left(8 \, a^{5} b + 10 \, a^{3} b^{3} - 3 \, 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) - 6 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x + 6 \, {\left(16 \, a^{5} b^{2} + 27 \, a^{3} b^{4} + 11 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right) + 6 \, {\left(16 \, a^{5} b^{2} + 27 \, a^{3} b^{4} + 11 \, a b^{6} + 6 \, {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} x \cosh\left(x\right)^{5} + 5 \, {\left(6 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 5 \, a b^{6} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{4} + 4 \, {\left(18 \, a^{6} b + 27 \, a^{4} b^{3} + 5 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)^{3} + 2 \, {\left(22 \, a^{7} + 5 \, a^{5} b^{2} - 41 \, a^{3} b^{4} - 24 \, a b^{6} + 6 \, {\left(2 \, a^{7} + a^{5} b^{2} - 4 \, a^{3} b^{4} - 3 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} x - 2 \, {\left(26 \, a^{6} b + 38 \, a^{4} b^{3} + 8 \, a^{2} b^{5} - 4 \, b^{7} + 3 \, {\left(4 \, a^{6} b + 7 \, a^{4} b^{3} + 2 \, a^{2} b^{5} - b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11} - {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)^{6} - {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \sinh\left(x\right)^{6} - 6 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10} + {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11} + 5 \, {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(2 \, a^{7} b^{4} + a^{5} b^{6} - 4 \, a^{3} b^{8} - 3 \, a b^{10}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(2 \, a^{7} b^{4} + a^{5} b^{6} - 4 \, a^{3} b^{8} - 3 \, a b^{10} + 5 \, {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11} - 5 \, {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)^{4} - 20 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(2 \, a^{7} b^{4} + a^{5} b^{6} - 4 \, a^{3} b^{8} - 3 \, a b^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 6 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right) - 6 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10} + {\left(a^{4} b^{7} + 2 \, a^{2} b^{9} + b^{11}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{5} b^{6} + 2 \, a^{3} b^{8} + a b^{10}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{7} b^{4} + a^{5} b^{6} - 4 \, a^{3} b^{8} - 3 \, a b^{10}\right)} \cosh\left(x\right)^{2} - {\left(4 \, a^{6} b^{5} + 7 \, a^{4} b^{7} + 2 \, a^{2} b^{9} - b^{11}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/6*(6*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x)^6 + 6*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*sinh(x)^6 - 22*a^4*b^3 - 38*a^2*b^5 - 16*b^7 + 6*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x)^5 + 6*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x) + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*sinh(x)^5 + 6*(18*a^6*b + 27*a^4*b^3 + 5*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x)^4 + 6*(18*a^6*b + 27*a^4*b^3 + 5*a^2*b^5 - 4*b^7 + 15*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x)^2 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x + 5*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x))*sinh(x)^4 + 4*(22*a^7 + 5*a^5*b^2 - 41*a^3*b^4 - 24*a*b^6 + 6*(2*a^7 + a^5*b^2 - 4*a^3*b^4 - 3*a*b^6)*x)*cosh(x)^3 + 4*(22*a^7 + 5*a^5*b^2 - 41*a^3*b^4 - 24*a*b^6 + 30*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x)^3 + 15*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x)^2 + 6*(2*a^7 + a^5*b^2 - 4*a^3*b^4 - 3*a*b^6)*x + 6*(18*a^6*b + 27*a^4*b^3 + 5*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x))*sinh(x)^3 - 6*(26*a^6*b + 38*a^4*b^3 + 8*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x)^2 - 6*(26*a^6*b + 38*a^4*b^3 + 8*a^2*b^5 - 4*b^7 - 15*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x)^4 - 10*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x)^3 - 6*(18*a^6*b + 27*a^4*b^3 + 5*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x)^2 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x - 2*(22*a^7 + 5*a^5*b^2 - 41*a^3*b^4 - 24*a*b^6 + 6*(2*a^7 + a^5*b^2 - 4*a^3*b^4 - 3*a*b^6)*x)*cosh(x))*sinh(x)^2 + 3*((2*a^3*b^3 + 3*a*b^5)*cosh(x)^6 + (2*a^3*b^3 + 3*a*b^5)*sinh(x)^6 - 2*a^3*b^3 - 3*a*b^5 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(x))*sinh(x)^5 + 3*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5)*cosh(x)^4 + 3*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(x)^2 + 10*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^4 + 4*(4*a^6 - 9*a^2*b^4)*cosh(x)^3 + 4*(4*a^6 - 9*a^2*b^4 + 5*(2*a^3*b^3 + 3*a*b^5)*cosh(x)^3 + 15*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2 + 3*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5)*cosh(x))*sinh(x)^3 - 3*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5)*cosh(x)^2 - 3*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5 - 5*(2*a^3*b^3 + 3*a*b^5)*cosh(x)^4 - 20*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 - 6*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5)*cosh(x)^2 - 4*(4*a^6 - 9*a^2*b^4)*cosh(x))*sinh(x)^2 + 6*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x) + 6*(2*a^4*b^2 + 3*a^2*b^4 + (2*a^3*b^3 + 3*a*b^5)*cosh(x)^5 + 5*(2*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 2*(8*a^5*b + 10*a^3*b^3 - 3*a*b^5)*cosh(x)^3 + 2*(4*a^6 - 9*a^2*b^4)*cosh(x)^2 - (8*a^5*b + 10*a^3*b^3 - 3*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)) - 6*(a^4*b^3 + 2*a^2*b^5 + b^7)*x + 6*(16*a^5*b^2 + 27*a^3*b^4 + 11*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x) + 6*(16*a^5*b^2 + 27*a^3*b^4 + 11*a*b^6 + 6*(a^4*b^3 + 2*a^2*b^5 + b^7)*x*cosh(x)^5 + 5*(6*a^5*b^2 + 11*a^3*b^4 + 5*a*b^6 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x)*cosh(x)^4 + 4*(18*a^6*b + 27*a^4*b^3 + 5*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x)^3 + 2*(22*a^7 + 5*a^5*b^2 - 41*a^3*b^4 - 24*a*b^6 + 6*(2*a^7 + a^5*b^2 - 4*a^3*b^4 - 3*a*b^6)*x)*cosh(x)^2 + 6*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*x - 2*(26*a^6*b + 38*a^4*b^3 + 8*a^2*b^5 - 4*b^7 + 3*(4*a^6*b + 7*a^4*b^3 + 2*a^2*b^5 - b^7)*x)*cosh(x))*sinh(x))/(a^4*b^7 + 2*a^2*b^9 + b^11 - (a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x)^6 - (a^4*b^7 + 2*a^2*b^9 + b^11)*sinh(x)^6 - 6*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x)^5 - 6*(a^5*b^6 + 2*a^3*b^8 + a*b^10 + (a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x))*sinh(x)^5 - 3*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x)^4 - 3*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11 + 5*(a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x)^2 + 10*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x))*sinh(x)^4 - 4*(2*a^7*b^4 + a^5*b^6 - 4*a^3*b^8 - 3*a*b^10)*cosh(x)^3 - 4*(2*a^7*b^4 + a^5*b^6 - 4*a^3*b^8 - 3*a*b^10 + 5*(a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x)^3 + 15*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x)^2 + 3*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x))*sinh(x)^3 + 3*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x)^2 + 3*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11 - 5*(a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x)^4 - 20*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x)^3 - 6*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x)^2 - 4*(2*a^7*b^4 + a^5*b^6 - 4*a^3*b^8 - 3*a*b^10)*cosh(x))*sinh(x)^2 - 6*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x) - 6*(a^5*b^6 + 2*a^3*b^8 + a*b^10 + (a^4*b^7 + 2*a^2*b^9 + b^11)*cosh(x)^5 + 5*(a^5*b^6 + 2*a^3*b^8 + a*b^10)*cosh(x)^4 + 2*(4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x)^3 + 2*(2*a^7*b^4 + a^5*b^6 - 4*a^3*b^8 - 3*a*b^10)*cosh(x)^2 - (4*a^6*b^5 + 7*a^4*b^7 + 2*a^2*b^9 - b^11)*cosh(x))*sinh(x))","B",0
623,1,2640,0,0.460790," ","integrate(1/(a*sech(x)+b*tanh(x))^5,x, algorithm=""fricas"")","-\frac{3 \, b^{4} x \cosh\left(x\right)^{8} + 3 \, b^{4} x \sinh\left(x\right)^{8} + 24 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{7} + 24 \, {\left(b^{4} x \cosh\left(x\right) + a b^{3} x - a b^{3}\right)} \sinh\left(x\right)^{7} - 12 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{6} + 12 \, {\left(7 \, b^{4} x \cosh\left(x\right)^{2} - 9 \, a^{2} b^{2} + b^{4} + {\left(6 \, a^{2} b^{2} - b^{4}\right)} x + 14 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 8 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{5} + 8 \, {\left(21 \, b^{4} x \cosh\left(x\right)^{3} - 22 \, a^{3} b + 11 \, a b^{3} + 63 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x - 9 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, b^{4} x - 2 \, {\left(50 \, a^{4} - 112 \, a^{2} b^{2} + 6 \, b^{4} - 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{4} + 2 \, {\left(105 \, b^{4} x \cosh\left(x\right)^{4} - 50 \, a^{4} + 112 \, a^{2} b^{2} - 6 \, b^{4} + 420 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{3} - 90 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x - 20 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 8 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{3} + 8 \, {\left(21 \, b^{4} x \cosh\left(x\right)^{5} + 105 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{4} + 22 \, a^{3} b - 11 \, a b^{3} - 30 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{3} - 10 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{2} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x - {\left(50 \, a^{4} - 112 \, a^{2} b^{2} + 6 \, b^{4} - 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 12 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 4 \, {\left(21 \, b^{4} x \cosh\left(x\right)^{6} + 126 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{5} - 45 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{4} - 27 \, a^{2} b^{2} + 3 \, b^{4} - 20 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{3} - 3 \, {\left(50 \, a^{4} - 112 \, a^{2} b^{2} + 6 \, b^{4} - 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} x + 6 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 24 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right) - 3 \, {\left(b^{4} \cosh\left(x\right)^{8} + b^{4} \sinh\left(x\right)^{8} + 8 \, a b^{3} \cosh\left(x\right)^{7} + 8 \, {\left(b^{4} \cosh\left(x\right) + a b^{3}\right)} \sinh\left(x\right)^{7} + 4 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, b^{4} \cosh\left(x\right)^{2} + 14 \, a b^{3} \cosh\left(x\right) + 6 \, a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 8 \, {\left(7 \, b^{4} \cosh\left(x\right)^{3} + 21 \, a b^{3} \cosh\left(x\right)^{2} + 4 \, a^{3} b - 3 \, a b^{3} + 3 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 8 \, a b^{3} \cosh\left(x\right) + 2 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, b^{4} \cosh\left(x\right)^{4} + 140 \, a b^{3} \cosh\left(x\right)^{3} + 8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4} + 30 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + b^{4} - 8 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(7 \, b^{4} \cosh\left(x\right)^{5} + 35 \, a b^{3} \cosh\left(x\right)^{4} - 4 \, a^{3} b + 3 \, a b^{3} + 10 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{4} \cosh\left(x\right)^{6} + 42 \, a b^{3} \cosh\left(x\right)^{5} + 15 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{4} + 6 \, a^{2} b^{2} - b^{4} + 20 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{4} \cosh\left(x\right)^{7} + 7 \, a b^{3} \cosh\left(x\right)^{6} + 3 \, {\left(6 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{4} - a b^{3} + {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(6 \, a^{2} b^{2} - b^{4}\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) + 8 \, {\left(3 \, b^{4} x \cosh\left(x\right)^{7} + 21 \, {\left(a b^{3} x - a b^{3}\right)} \cosh\left(x\right)^{6} - 9 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)^{5} - 3 \, a b^{3} x - 5 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{4} + 3 \, a b^{3} - {\left(50 \, a^{4} - 112 \, a^{2} b^{2} + 6 \, b^{4} - 3 \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{3} + 3 \, {\left(22 \, a^{3} b - 11 \, a b^{3} - 3 \, {\left(4 \, a^{3} b - 3 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{2} - 3 \, {\left(9 \, a^{2} b^{2} - b^{4} - {\left(6 \, a^{2} b^{2} - b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(b^{9} \cosh\left(x\right)^{8} + b^{9} \sinh\left(x\right)^{8} + 8 \, a b^{8} \cosh\left(x\right)^{7} - 8 \, a b^{8} \cosh\left(x\right) + b^{9} + 8 \, {\left(b^{9} \cosh\left(x\right) + a b^{8}\right)} \sinh\left(x\right)^{7} + 4 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, b^{9} \cosh\left(x\right)^{2} + 14 \, a b^{8} \cosh\left(x\right) + 6 \, a^{2} b^{7} - b^{9}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{5} + 8 \, {\left(7 \, b^{9} \cosh\left(x\right)^{3} + 21 \, a b^{8} \cosh\left(x\right)^{2} + 4 \, a^{3} b^{6} - 3 \, a b^{8} + 3 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(8 \, a^{4} b^{5} - 24 \, a^{2} b^{7} + 3 \, b^{9}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, b^{9} \cosh\left(x\right)^{4} + 140 \, a b^{8} \cosh\left(x\right)^{3} + 8 \, a^{4} b^{5} - 24 \, a^{2} b^{7} + 3 \, b^{9} + 30 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 8 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(7 \, b^{9} \cosh\left(x\right)^{5} + 35 \, a b^{8} \cosh\left(x\right)^{4} - 4 \, a^{3} b^{6} + 3 \, a b^{8} + 10 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{2} + {\left(8 \, a^{4} b^{5} - 24 \, a^{2} b^{7} + 3 \, b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{9} \cosh\left(x\right)^{6} + 42 \, a b^{8} \cosh\left(x\right)^{5} + 6 \, a^{2} b^{7} - b^{9} + 15 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{4} b^{5} - 24 \, a^{2} b^{7} + 3 \, b^{9}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{9} \cosh\left(x\right)^{7} + 7 \, a b^{8} \cosh\left(x\right)^{6} - a b^{8} + 3 \, {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{4} + {\left(8 \, a^{4} b^{5} - 24 \, a^{2} b^{7} + 3 \, b^{9}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(4 \, a^{3} b^{6} - 3 \, a b^{8}\right)} \cosh\left(x\right)^{2} + {\left(6 \, a^{2} b^{7} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(3*b^4*x*cosh(x)^8 + 3*b^4*x*sinh(x)^8 + 24*(a*b^3*x - a*b^3)*cosh(x)^7 + 24*(b^4*x*cosh(x) + a*b^3*x - a*b^3)*sinh(x)^7 - 12*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^6 + 12*(7*b^4*x*cosh(x)^2 - 9*a^2*b^2 + b^4 + (6*a^2*b^2 - b^4)*x + 14*(a*b^3*x - a*b^3)*cosh(x))*sinh(x)^6 - 8*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^5 + 8*(21*b^4*x*cosh(x)^3 - 22*a^3*b + 11*a*b^3 + 63*(a*b^3*x - a*b^3)*cosh(x)^2 + 3*(4*a^3*b - 3*a*b^3)*x - 9*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x))*sinh(x)^5 + 3*b^4*x - 2*(50*a^4 - 112*a^2*b^2 + 6*b^4 - 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x)*cosh(x)^4 + 2*(105*b^4*x*cosh(x)^4 - 50*a^4 + 112*a^2*b^2 - 6*b^4 + 420*(a*b^3*x - a*b^3)*cosh(x)^3 - 90*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^2 + 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x - 20*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x))*sinh(x)^4 + 8*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^3 + 8*(21*b^4*x*cosh(x)^5 + 105*(a*b^3*x - a*b^3)*cosh(x)^4 + 22*a^3*b - 11*a*b^3 - 30*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^3 - 10*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^2 - 3*(4*a^3*b - 3*a*b^3)*x - (50*a^4 - 112*a^2*b^2 + 6*b^4 - 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x)*cosh(x))*sinh(x)^3 - 12*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^2 + 4*(21*b^4*x*cosh(x)^6 + 126*(a*b^3*x - a*b^3)*cosh(x)^5 - 45*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^4 - 27*a^2*b^2 + 3*b^4 - 20*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^3 - 3*(50*a^4 - 112*a^2*b^2 + 6*b^4 - 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x)*cosh(x)^2 + 3*(6*a^2*b^2 - b^4)*x + 6*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x))*sinh(x)^2 - 24*(a*b^3*x - a*b^3)*cosh(x) - 3*(b^4*cosh(x)^8 + b^4*sinh(x)^8 + 8*a*b^3*cosh(x)^7 + 8*(b^4*cosh(x) + a*b^3)*sinh(x)^7 + 4*(6*a^2*b^2 - b^4)*cosh(x)^6 + 4*(7*b^4*cosh(x)^2 + 14*a*b^3*cosh(x) + 6*a^2*b^2 - b^4)*sinh(x)^6 + 8*(4*a^3*b - 3*a*b^3)*cosh(x)^5 + 8*(7*b^4*cosh(x)^3 + 21*a*b^3*cosh(x)^2 + 4*a^3*b - 3*a*b^3 + 3*(6*a^2*b^2 - b^4)*cosh(x))*sinh(x)^5 - 8*a*b^3*cosh(x) + 2*(8*a^4 - 24*a^2*b^2 + 3*b^4)*cosh(x)^4 + 2*(35*b^4*cosh(x)^4 + 140*a*b^3*cosh(x)^3 + 8*a^4 - 24*a^2*b^2 + 3*b^4 + 30*(6*a^2*b^2 - b^4)*cosh(x)^2 + 20*(4*a^3*b - 3*a*b^3)*cosh(x))*sinh(x)^4 + b^4 - 8*(4*a^3*b - 3*a*b^3)*cosh(x)^3 + 8*(7*b^4*cosh(x)^5 + 35*a*b^3*cosh(x)^4 - 4*a^3*b + 3*a*b^3 + 10*(6*a^2*b^2 - b^4)*cosh(x)^3 + 10*(4*a^3*b - 3*a*b^3)*cosh(x)^2 + (8*a^4 - 24*a^2*b^2 + 3*b^4)*cosh(x))*sinh(x)^3 + 4*(6*a^2*b^2 - b^4)*cosh(x)^2 + 4*(7*b^4*cosh(x)^6 + 42*a*b^3*cosh(x)^5 + 15*(6*a^2*b^2 - b^4)*cosh(x)^4 + 6*a^2*b^2 - b^4 + 20*(4*a^3*b - 3*a*b^3)*cosh(x)^3 + 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*cosh(x)^2 - 6*(4*a^3*b - 3*a*b^3)*cosh(x))*sinh(x)^2 + 8*(b^4*cosh(x)^7 + 7*a*b^3*cosh(x)^6 + 3*(6*a^2*b^2 - b^4)*cosh(x)^5 + 5*(4*a^3*b - 3*a*b^3)*cosh(x)^4 - a*b^3 + (8*a^4 - 24*a^2*b^2 + 3*b^4)*cosh(x)^3 - 3*(4*a^3*b - 3*a*b^3)*cosh(x)^2 + (6*a^2*b^2 - b^4)*cosh(x))*sinh(x))*log(2*(b*sinh(x) + a)/(cosh(x) - sinh(x))) + 8*(3*b^4*x*cosh(x)^7 + 21*(a*b^3*x - a*b^3)*cosh(x)^6 - 9*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x)^5 - 3*a*b^3*x - 5*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^4 + 3*a*b^3 - (50*a^4 - 112*a^2*b^2 + 6*b^4 - 3*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x)*cosh(x)^3 + 3*(22*a^3*b - 11*a*b^3 - 3*(4*a^3*b - 3*a*b^3)*x)*cosh(x)^2 - 3*(9*a^2*b^2 - b^4 - (6*a^2*b^2 - b^4)*x)*cosh(x))*sinh(x))/(b^9*cosh(x)^8 + b^9*sinh(x)^8 + 8*a*b^8*cosh(x)^7 - 8*a*b^8*cosh(x) + b^9 + 8*(b^9*cosh(x) + a*b^8)*sinh(x)^7 + 4*(6*a^2*b^7 - b^9)*cosh(x)^6 + 4*(7*b^9*cosh(x)^2 + 14*a*b^8*cosh(x) + 6*a^2*b^7 - b^9)*sinh(x)^6 + 8*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^5 + 8*(7*b^9*cosh(x)^3 + 21*a*b^8*cosh(x)^2 + 4*a^3*b^6 - 3*a*b^8 + 3*(6*a^2*b^7 - b^9)*cosh(x))*sinh(x)^5 + 2*(8*a^4*b^5 - 24*a^2*b^7 + 3*b^9)*cosh(x)^4 + 2*(35*b^9*cosh(x)^4 + 140*a*b^8*cosh(x)^3 + 8*a^4*b^5 - 24*a^2*b^7 + 3*b^9 + 30*(6*a^2*b^7 - b^9)*cosh(x)^2 + 20*(4*a^3*b^6 - 3*a*b^8)*cosh(x))*sinh(x)^4 - 8*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^3 + 8*(7*b^9*cosh(x)^5 + 35*a*b^8*cosh(x)^4 - 4*a^3*b^6 + 3*a*b^8 + 10*(6*a^2*b^7 - b^9)*cosh(x)^3 + 10*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^2 + (8*a^4*b^5 - 24*a^2*b^7 + 3*b^9)*cosh(x))*sinh(x)^3 + 4*(6*a^2*b^7 - b^9)*cosh(x)^2 + 4*(7*b^9*cosh(x)^6 + 42*a*b^8*cosh(x)^5 + 6*a^2*b^7 - b^9 + 15*(6*a^2*b^7 - b^9)*cosh(x)^4 + 20*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^3 + 3*(8*a^4*b^5 - 24*a^2*b^7 + 3*b^9)*cosh(x)^2 - 6*(4*a^3*b^6 - 3*a*b^8)*cosh(x))*sinh(x)^2 + 8*(b^9*cosh(x)^7 + 7*a*b^8*cosh(x)^6 - a*b^8 + 3*(6*a^2*b^7 - b^9)*cosh(x)^5 + 5*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^4 + (8*a^4*b^5 - 24*a^2*b^7 + 3*b^9)*cosh(x)^3 - 3*(4*a^3*b^6 - 3*a*b^8)*cosh(x)^2 + (6*a^2*b^7 - b^9)*cosh(x))*sinh(x))","B",0
624,1,92,0,0.423788," ","integrate((sech(x)+I*tanh(x))^5,x, algorithm=""fricas"")","\frac{-i \, x e^{\left(4 \, x\right)} + 4 \, {\left(x - 2\right)} e^{\left(3 \, x\right)} + {\left(6 i \, x - 8 i\right)} e^{\left(2 \, x\right)} - 4 \, {\left(x - 2\right)} e^{x} + {\left(2 i \, e^{\left(4 \, x\right)} - 8 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} + 8 \, e^{x} + 2 i\right)} \log\left(e^{x} + i\right) - i \, x}{e^{\left(4 \, x\right)} + 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} + 1}"," ",0,"(-I*x*e^(4*x) + 4*(x - 2)*e^(3*x) + (6*I*x - 8*I)*e^(2*x) - 4*(x - 2)*e^x + (2*I*e^(4*x) - 8*e^(3*x) - 12*I*e^(2*x) + 8*e^x + 2*I)*log(e^x + I) - I*x)/(e^(4*x) + 4*I*e^(3*x) - 6*e^(2*x) - 4*I*e^x + 1)","B",0
625,1,52,0,0.404488," ","integrate((sech(x)+I*tanh(x))^4,x, algorithm=""fricas"")","\frac{3 \, x e^{\left(3 \, x\right)} + {\left(9 i \, x + 24 i\right)} e^{\left(2 \, x\right)} - 3 \, {\left(3 \, x + 8\right)} e^{x} - 3 i \, x - 16 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 + 24*I)*e^(2*x) - 3*(3*x + 8)*e^x - 3*I*x - 16*I)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","A",0
626,1,49,0,0.429960," ","integrate((sech(x)+I*tanh(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
627,1,17,0,0.409527," ","integrate((sech(x)+I*tanh(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
628,1,11,0,0.424517," ","integrate(sech(x)+I*tanh(x),x, algorithm=""fricas"")","-i \, x + 2 i \, \log\left(e^{x} + i\right)"," ",0,"-I*x + 2*I*log(e^x + I)","A",0
629,1,11,0,0.426389," ","integrate(1/(sech(x)+I*tanh(x)),x, algorithm=""fricas"")","i \, x - 2 i \, \log\left(e^{x} - i\right)"," ",0,"I*x - 2*I*log(e^x - I)","A",0
630,1,17,0,0.409226," ","integrate(1/(sech(x)+I*tanh(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
631,1,49,0,0.419875," ","integrate(1/(sech(x)+I*tanh(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
632,1,52,0,0.424785," ","integrate(1/(sech(x)+I*tanh(x))^4,x, algorithm=""fricas"")","\frac{3 \, x e^{\left(3 \, x\right)} + {\left(-9 i \, x - 24 i\right)} e^{\left(2 \, x\right)} - 3 \, {\left(3 \, x + 8\right)} e^{x} + 3 i \, x + 16 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 - 24*I)*e^(2*x) - 3*(3*x + 8)*e^x + 3*I*x + 16*I)/(3*e^(3*x) - 9*I*e^(2*x) - 9*e^x + 3*I)","A",0
633,1,92,0,0.416261," ","integrate(1/(sech(x)+I*tanh(x))^5,x, algorithm=""fricas"")","\frac{i \, x e^{\left(4 \, x\right)} + 4 \, {\left(x - 2\right)} e^{\left(3 \, x\right)} + {\left(-6 i \, x + 8 i\right)} e^{\left(2 \, x\right)} - 4 \, {\left(x - 2\right)} e^{x} + {\left(-2 i \, e^{\left(4 \, x\right)} - 8 \, e^{\left(3 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} + 8 \, e^{x} - 2 i\right)} \log\left(e^{x} - i\right) + i \, x}{e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} + 1}"," ",0,"(I*x*e^(4*x) + 4*(x - 2)*e^(3*x) + (-6*I*x + 8*I)*e^(2*x) - 4*(x - 2)*e^x + (-2*I*e^(4*x) - 8*e^(3*x) + 12*I*e^(2*x) + 8*e^x - 2*I)*log(e^x - I) + I*x)/(e^(4*x) - 4*I*e^(3*x) - 6*e^(2*x) + 4*I*e^x + 1)","B",0
634,1,92,0,0.422043," ","integrate((sech(x)-I*tanh(x))^5,x, algorithm=""fricas"")","\frac{i \, x e^{\left(4 \, x\right)} + 4 \, {\left(x - 2\right)} e^{\left(3 \, x\right)} + {\left(-6 i \, x + 8 i\right)} e^{\left(2 \, x\right)} - 4 \, {\left(x - 2\right)} e^{x} + {\left(-2 i \, e^{\left(4 \, x\right)} - 8 \, e^{\left(3 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} + 8 \, e^{x} - 2 i\right)} \log\left(e^{x} - i\right) + i \, x}{e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 4 i \, e^{x} + 1}"," ",0,"(I*x*e^(4*x) + 4*(x - 2)*e^(3*x) + (-6*I*x + 8*I)*e^(2*x) - 4*(x - 2)*e^x + (-2*I*e^(4*x) - 8*e^(3*x) + 12*I*e^(2*x) + 8*e^x - 2*I)*log(e^x - I) + I*x)/(e^(4*x) - 4*I*e^(3*x) - 6*e^(2*x) + 4*I*e^x + 1)","B",0
635,1,52,0,0.436527," ","integrate((sech(x)-I*tanh(x))^4,x, algorithm=""fricas"")","\frac{3 \, x e^{\left(3 \, x\right)} + {\left(-9 i \, x - 24 i\right)} e^{\left(2 \, x\right)} - 3 \, {\left(3 \, x + 8\right)} e^{x} + 3 i \, x + 16 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 - 24*I)*e^(2*x) - 3*(3*x + 8)*e^x + 3*I*x + 16*I)/(3*e^(3*x) - 9*I*e^(2*x) - 9*e^x + 3*I)","A",0
636,1,49,0,0.409069," ","integrate((sech(x)-I*tanh(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
637,1,17,0,0.418305," ","integrate((sech(x)-I*tanh(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
638,1,11,0,0.424474," ","integrate(sech(x)-I*tanh(x),x, algorithm=""fricas"")","i \, x - 2 i \, \log\left(e^{x} - i\right)"," ",0,"I*x - 2*I*log(e^x - I)","A",0
639,1,11,0,0.435437," ","integrate(1/(sech(x)-I*tanh(x)),x, algorithm=""fricas"")","-i \, x + 2 i \, \log\left(e^{x} + i\right)"," ",0,"-I*x + 2*I*log(e^x + I)","A",0
640,1,17,0,0.417901," ","integrate(1/(sech(x)-I*tanh(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
641,1,49,0,0.445209," ","integrate(1/(sech(x)-I*tanh(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
642,1,52,0,0.416376," ","integrate(1/(sech(x)-I*tanh(x))^4,x, algorithm=""fricas"")","\frac{3 \, x e^{\left(3 \, x\right)} + {\left(9 i \, x + 24 i\right)} e^{\left(2 \, x\right)} - 3 \, {\left(3 \, x + 8\right)} e^{x} - 3 i \, x - 16 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 + 24*I)*e^(2*x) - 3*(3*x + 8)*e^x - 3*I*x - 16*I)/(3*e^(3*x) + 9*I*e^(2*x) - 9*e^x - 3*I)","A",0
643,1,92,0,0.429693," ","integrate(1/(sech(x)-I*tanh(x))^5,x, algorithm=""fricas"")","\frac{-i \, x e^{\left(4 \, x\right)} + 4 \, {\left(x - 2\right)} e^{\left(3 \, x\right)} + {\left(6 i \, x - 8 i\right)} e^{\left(2 \, x\right)} - 4 \, {\left(x - 2\right)} e^{x} + {\left(2 i \, e^{\left(4 \, x\right)} - 8 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} + 8 \, e^{x} + 2 i\right)} \log\left(e^{x} + i\right) - i \, x}{e^{\left(4 \, x\right)} + 4 i \, e^{\left(3 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} + 1}"," ",0,"(-I*x*e^(4*x) + 4*(x - 2)*e^(3*x) + (6*I*x - 8*I)*e^(2*x) - 4*(x - 2)*e^x + (2*I*e^(4*x) - 8*e^(3*x) - 12*I*e^(2*x) + 8*e^x + 2*I)*log(e^x + I) - I*x)/(e^(4*x) + 4*I*e^(3*x) - 6*e^(2*x) - 4*I*e^x + 1)","B",0
644,1,2716,0,0.472989," ","integrate((a*coth(x)+b*csch(x))^5,x, algorithm=""fricas"")","-\frac{8 \, a^{5} x \cosh\left(x\right)^{8} + 8 \, a^{5} x \sinh\left(x\right)^{8} + 2 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(32 \, a^{5} x \cosh\left(x\right) + 25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \sinh\left(x\right)^{7} - 32 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{6} + 2 \, {\left(112 \, a^{5} x \cosh\left(x\right)^{2} - 16 \, a^{5} x + 16 \, a^{5} + 80 \, a^{3} b^{2} + 7 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 8 \, a^{5} x + 2 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(224 \, a^{5} x \cosh\left(x\right)^{3} + 15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5} + 21 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} - 96 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 16 \, {\left(3 \, a^{5} x - 2 \, a^{5} + 10 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(280 \, a^{5} x \cosh\left(x\right)^{4} + 24 \, a^{5} x - 16 \, a^{5} + 80 \, a b^{4} + 35 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 240 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(224 \, a^{5} x \cosh\left(x\right)^{5} + 15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5} + 35 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} - 320 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2} + 32 \, {\left(3 \, a^{5} x - 2 \, a^{5} + 10 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 32 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(112 \, a^{5} x \cosh\left(x\right)^{6} - 16 \, a^{5} x + 21 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + 16 \, a^{5} + 80 \, a^{3} b^{2} - 240 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{3} + 48 \, {\left(3 \, a^{5} x - 2 \, a^{5} + 10 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right) - {\left({\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5} - 7 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5} + 6 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{5} - 45 \, a^{4} b + 30 \, a^{2} b^{3} - 9 \, b^{5} + 35 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{6} - 8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5} - 15 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 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({\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5} - 7 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5} + 6 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{5} + 45 \, a^{4} b - 30 \, a^{2} b^{3} + 9 \, b^{5} + 35 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{6} - 8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5} - 15 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 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(32 \, a^{5} x \cosh\left(x\right)^{7} + 7 \, {\left(25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \cosh\left(x\right)^{6} - 96 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{5} + 25 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5} + 5 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{4} + 32 \, {\left(3 \, a^{5} x - 2 \, a^{5} + 10 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(15 \, a^{4} b + 70 \, a^{2} b^{3} + 11 \, b^{5}\right)} \cosh\left(x\right)^{2} - 32 \, {\left(a^{5} x - a^{5} - 5 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{6} - 4 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 30 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \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)} \sinh\left(x\right)^{2} - 4 \, \cosh\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)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/8*(8*a^5*x*cosh(x)^8 + 8*a^5*x*sinh(x)^8 + 2*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^7 + 2*(32*a^5*x*cosh(x) + 25*a^4*b + 10*a^2*b^3 - 3*b^5)*sinh(x)^7 - 32*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^6 + 2*(112*a^5*x*cosh(x)^2 - 16*a^5*x + 16*a^5 + 80*a^3*b^2 + 7*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^6 + 8*a^5*x + 2*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^5 + 2*(224*a^5*x*cosh(x)^3 + 15*a^4*b + 70*a^2*b^3 + 11*b^5 + 21*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^2 - 96*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x))*sinh(x)^5 + 16*(3*a^5*x - 2*a^5 + 10*a*b^4)*cosh(x)^4 + 2*(280*a^5*x*cosh(x)^4 + 24*a^5*x - 16*a^5 + 80*a*b^4 + 35*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^3 - 240*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^2 + 5*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^4 + 2*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^3 + 2*(224*a^5*x*cosh(x)^5 + 15*a^4*b + 70*a^2*b^3 + 11*b^5 + 35*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^4 - 320*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^3 + 10*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^2 + 32*(3*a^5*x - 2*a^5 + 10*a*b^4)*cosh(x))*sinh(x)^3 - 32*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^2 + 2*(112*a^5*x*cosh(x)^6 - 16*a^5*x + 21*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^5 + 16*a^5 + 80*a^3*b^2 - 240*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^4 + 10*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^3 + 48*(3*a^5*x - 2*a^5 + 10*a*b^4)*cosh(x)^2 + 3*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x))*sinh(x)^2 + 2*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x) - ((8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^8 + 8*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)*sinh(x)^7 + (8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*sinh(x)^8 - 4*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^6 - 4*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5 - 7*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^6 + 8*(7*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^3 - 3*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^5 + 8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5 + 6*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^4 + 2*(24*a^5 - 45*a^4*b + 30*a^2*b^3 - 9*b^5 + 35*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^4 - 30*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^4 + 8*(7*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^5 - 10*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^3 + 3*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x)^3 - 4*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^2 + 4*(7*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^6 - 8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5 - 15*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^4 + 9*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^2)*sinh(x)^2 + 8*((8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^7 - 3*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^5 + 3*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^3 - (8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - ((8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^8 + 8*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)*sinh(x)^7 + (8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*sinh(x)^8 - 4*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^6 - 4*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5 - 7*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^2)*sinh(x)^6 + 8*(7*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^3 - 3*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x))*sinh(x)^5 + 8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5 + 6*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^4 + 2*(24*a^5 + 45*a^4*b - 30*a^2*b^3 + 9*b^5 + 35*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^4 - 30*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^2)*sinh(x)^4 + 8*(7*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^5 - 10*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^3 + 3*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x))*sinh(x)^3 - 4*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^2 + 4*(7*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^6 - 8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5 - 15*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^4 + 9*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^2)*sinh(x)^2 + 8*((8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^7 - 3*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^5 + 3*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x)^3 - (8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(32*a^5*x*cosh(x)^7 + 7*(25*a^4*b + 10*a^2*b^3 - 3*b^5)*cosh(x)^6 - 96*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x)^5 + 25*a^4*b + 10*a^2*b^3 - 3*b^5 + 5*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^4 + 32*(3*a^5*x - 2*a^5 + 10*a*b^4)*cosh(x)^3 + 3*(15*a^4*b + 70*a^2*b^3 + 11*b^5)*cosh(x)^2 - 32*(a^5*x - a^5 - 5*a^3*b^2)*cosh(x))*sinh(x))/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 - 1)*sinh(x)^6 - 4*cosh(x)^6 + 8*(7*cosh(x)^3 - 3*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 - 30*cosh(x)^2 + 3)*sinh(x)^4 + 6*cosh(x)^4 + 8*(7*cosh(x)^5 - 10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 15*cosh(x)^4 + 9*cosh(x)^2 - 1)*sinh(x)^2 - 4*cosh(x)^2 + 8*(cosh(x)^7 - 3*cosh(x)^5 + 3*cosh(x)^3 - cosh(x))*sinh(x) + 1)","B",0
645,1,209,0,0.424145," ","integrate((a*coth(x)+b*csch(x))^4,x, algorithm=""fricas"")","-\frac{24 \, a^{3} b \cosh\left(x\right)^{2} - 8 \, a^{3} b + 16 \, a b^{3} + 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{4} x + 4 \, a^{4} + 6 \, a^{2} b^{2} - 2 \, b^{4}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(4 \, a^{3} b + {\left(2 \, a^{4} + 3 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(3 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + 3 \, {\left(3 \, a^{4} x + 4 \, a^{4} + 6 \, a^{2} b^{2} - 2 \, b^{4} - {\left(3 \, a^{4} x + 4 \, a^{4} + 6 \, a^{2} b^{2} - 2 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{3 \, {\left(\sinh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(24*a^3*b*cosh(x)^2 - 8*a^3*b + 16*a*b^3 + 2*(2*a^4 + 3*a^2*b^2 - b^4)*cosh(x)^3 - (3*a^4*x + 4*a^4 + 6*a^2*b^2 - 2*b^4)*sinh(x)^3 + 6*(4*a^3*b + (2*a^4 + 3*a^2*b^2 - b^4)*cosh(x))*sinh(x)^2 + 6*(3*a^2*b^2 + b^4)*cosh(x) + 3*(3*a^4*x + 4*a^4 + 6*a^2*b^2 - 2*b^4 - (3*a^4*x + 4*a^4 + 6*a^2*b^2 - 2*b^4)*cosh(x)^2)*sinh(x))/(sinh(x)^3 + 3*(cosh(x)^2 - 1)*sinh(x))","B",0
646,1,674,0,0.423979," ","integrate((a*coth(x)+b*csch(x))^3,x, algorithm=""fricas"")","-\frac{2 \, a^{3} x \cosh\left(x\right)^{4} + 2 \, a^{3} x \sinh\left(x\right)^{4} + 2 \, a^{3} x + 2 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(4 \, a^{3} x \cosh\left(x\right) + 3 \, a^{2} b + b^{3}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{3} x - a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(6 \, a^{3} x \cosh\left(x\right)^{2} - 2 \, a^{3} x + 2 \, a^{3} + 6 \, a b^{2} + 3 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right) - {\left({\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} - 3 \, a^{2} b + b^{3} - 2 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3} - 3 \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} - 3 \, a^{2} b + 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) - {\left({\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} + 3 \, a^{2} b - b^{3} - 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3} - 3 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} + 3 \, a^{2} b - 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) + 2 \, {\left(4 \, a^{3} x \cosh\left(x\right)^{3} + 3 \, a^{2} b + b^{3} + 3 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} x - a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(\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)}}"," ",0,"-1/2*(2*a^3*x*cosh(x)^4 + 2*a^3*x*sinh(x)^4 + 2*a^3*x + 2*(3*a^2*b + b^3)*cosh(x)^3 + 2*(4*a^3*x*cosh(x) + 3*a^2*b + b^3)*sinh(x)^3 - 4*(a^3*x - a^3 - 3*a*b^2)*cosh(x)^2 + 2*(6*a^3*x*cosh(x)^2 - 2*a^3*x + 2*a^3 + 6*a*b^2 + 3*(3*a^2*b + b^3)*cosh(x))*sinh(x)^2 + 2*(3*a^2*b + b^3)*cosh(x) - ((2*a^3 - 3*a^2*b + b^3)*cosh(x)^4 + 4*(2*a^3 - 3*a^2*b + b^3)*cosh(x)*sinh(x)^3 + (2*a^3 - 3*a^2*b + b^3)*sinh(x)^4 + 2*a^3 - 3*a^2*b + b^3 - 2*(2*a^3 - 3*a^2*b + b^3)*cosh(x)^2 - 2*(2*a^3 - 3*a^2*b + b^3 - 3*(2*a^3 - 3*a^2*b + b^3)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 - 3*a^2*b + b^3)*cosh(x)^3 - (2*a^3 - 3*a^2*b + b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - ((2*a^3 + 3*a^2*b - b^3)*cosh(x)^4 + 4*(2*a^3 + 3*a^2*b - b^3)*cosh(x)*sinh(x)^3 + (2*a^3 + 3*a^2*b - b^3)*sinh(x)^4 + 2*a^3 + 3*a^2*b - b^3 - 2*(2*a^3 + 3*a^2*b - b^3)*cosh(x)^2 - 2*(2*a^3 + 3*a^2*b - b^3 - 3*(2*a^3 + 3*a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 + 3*a^2*b - b^3)*cosh(x)^3 - (2*a^3 + 3*a^2*b - b^3)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(4*a^3*x*cosh(x)^3 + 3*a^2*b + b^3 + 3*(3*a^2*b + b^3)*cosh(x)^2 - 4*(a^3*x - a^3 - 3*a*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)","B",0
647,1,37,0,0.403780," ","integrate((a*coth(x)+b*csch(x))^2,x, algorithm=""fricas"")","-\frac{2 \, a b + {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) - {\left(a^{2} x + a^{2} + b^{2}\right)} \sinh\left(x\right)}{\sinh\left(x\right)}"," ",0,"-(2*a*b + (a^2 + b^2)*cosh(x) - (a^2*x + a^2 + b^2)*sinh(x))/sinh(x)","A",0
648,1,29,0,0.428657," ","integrate(a*coth(x)+b*csch(x),x, algorithm=""fricas"")","-a x + {\left(a - b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a + b\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"-a*x + (a - b)*log(cosh(x) + sinh(x) + 1) + (a + b)*log(cosh(x) + sinh(x) - 1)","B",0
649,1,27,0,0.418836," ","integrate(1/(a*coth(x)+b*csch(x)),x, algorithm=""fricas"")","-\frac{x - \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a}"," ",0,"-(x - log(2*(a*cosh(x) + b)/(cosh(x) - sinh(x))))/a","B",0
650,1,682,0,0.448618," ","integrate(1/(a*coth(x)+b*csch(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right)^{2} + {\left(a^{3} - a b^{2}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{3} - 2 \, a b^{2} - {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + b^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) - a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{-a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) + a}\right) + {\left(a^{3} - a b^{2}\right)} x + 2 \, {\left(a^{2} b - b^{3} + {\left(a^{2} b - b^{3}\right)} x\right)} \cosh\left(x\right) + 2 \, {\left(a^{2} b - b^{3} + {\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right) + {\left(a^{2} b - b^{3}\right)} x\right)} \sinh\left(x\right)}{a^{5} - a^{3} b^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{4} b - a^{2} b^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, \frac{{\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right)^{2} + {\left(a^{3} - a b^{2}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{3} - 2 \, a b^{2} + 2 \, {\left(a b \cosh\left(x\right)^{2} + a b \sinh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) + a b + 2 \, {\left(a b \cosh\left(x\right) + b^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(-\frac{a \cosh\left(x\right) + a \sinh\left(x\right) + b}{\sqrt{a^{2} - b^{2}}}\right) + {\left(a^{3} - a b^{2}\right)} x + 2 \, {\left(a^{2} b - b^{3} + {\left(a^{2} b - b^{3}\right)} x\right)} \cosh\left(x\right) + 2 \, {\left(a^{2} b - b^{3} + {\left(a^{3} - a b^{2}\right)} x \cosh\left(x\right) + {\left(a^{2} b - b^{3}\right)} x\right)} \sinh\left(x\right)}{a^{5} - a^{3} b^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{4} b - a^{2} b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{4} b - a^{2} b^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[((a^3 - a*b^2)*x*cosh(x)^2 + (a^3 - a*b^2)*x*sinh(x)^2 + 2*a^3 - 2*a*b^2 - (a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*b^2*cosh(x) + a*b + 2*(a*b*cosh(x) + b^2)*sinh(x))*sqrt(-a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) - a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(-a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) + a)) + (a^3 - a*b^2)*x + 2*(a^2*b - b^3 + (a^2*b - b^3)*x)*cosh(x) + 2*(a^2*b - b^3 + (a^3 - a*b^2)*x*cosh(x) + (a^2*b - b^3)*x)*sinh(x))/(a^5 - a^3*b^2 + (a^5 - a^3*b^2)*cosh(x)^2 + (a^5 - a^3*b^2)*sinh(x)^2 + 2*(a^4*b - a^2*b^3)*cosh(x) + 2*(a^4*b - a^2*b^3 + (a^5 - a^3*b^2)*cosh(x))*sinh(x)), ((a^3 - a*b^2)*x*cosh(x)^2 + (a^3 - a*b^2)*x*sinh(x)^2 + 2*a^3 - 2*a*b^2 + 2*(a*b*cosh(x)^2 + a*b*sinh(x)^2 + 2*b^2*cosh(x) + a*b + 2*(a*b*cosh(x) + b^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(-(a*cosh(x) + a*sinh(x) + b)/sqrt(a^2 - b^2)) + (a^3 - a*b^2)*x + 2*(a^2*b - b^3 + (a^2*b - b^3)*x)*cosh(x) + 2*(a^2*b - b^3 + (a^3 - a*b^2)*x*cosh(x) + (a^2*b - b^3)*x)*sinh(x))/(a^5 - a^3*b^2 + (a^5 - a^3*b^2)*cosh(x)^2 + (a^5 - a^3*b^2)*sinh(x)^2 + 2*(a^4*b - a^2*b^3)*cosh(x) + 2*(a^4*b - a^2*b^3 + (a^5 - a^3*b^2)*cosh(x))*sinh(x))]","B",0
651,1,521,0,0.781405," ","integrate(1/(a*coth(x)+b*csch(x))^3,x, algorithm=""fricas"")","-\frac{a^{2} x \cosh\left(x\right)^{4} + a^{2} x \sinh\left(x\right)^{4} + 4 \, {\left(a b x - a b\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{2} x \cosh\left(x\right) + a b x - a b\right)} \sinh\left(x\right)^{3} + a^{2} x - 2 \, {\left(a^{2} + 3 \, b^{2} - {\left(a^{2} + 2 \, b^{2}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} x \cosh\left(x\right)^{2} - a^{2} - 3 \, b^{2} + {\left(a^{2} + 2 \, b^{2}\right)} x + 6 \, {\left(a b x - a b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a b x - a b\right)} \cosh\left(x\right) - {\left(a^{2} \cosh\left(x\right)^{4} + a^{2} \sinh\left(x\right)^{4} + 4 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right)^{3} + 4 \, a b \cosh\left(x\right) + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} + 6 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} + 3 \, a b \cosh\left(x\right)^{2} + a b + {\left(a^{2} + 2 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(a^{2} x \cosh\left(x\right)^{3} + a b x + 3 \, {\left(a b x - a b\right)} \cosh\left(x\right)^{2} - a b - {\left(a^{2} + 3 \, b^{2} - {\left(a^{2} + 2 \, b^{2}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} \cosh\left(x\right)^{4} + a^{5} \sinh\left(x\right)^{4} + 4 \, a^{4} b \cosh\left(x\right)^{3} + 4 \, a^{4} b \cosh\left(x\right) + a^{5} + 4 \, {\left(a^{5} \cosh\left(x\right) + a^{4} b\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{5} \cosh\left(x\right)^{2} + 6 \, a^{4} b \cosh\left(x\right) + a^{5} + 2 \, a^{3} b^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{5} \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)^{2} + a^{4} b + {\left(a^{5} + 2 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(a^2*x*cosh(x)^4 + a^2*x*sinh(x)^4 + 4*(a*b*x - a*b)*cosh(x)^3 + 4*(a^2*x*cosh(x) + a*b*x - a*b)*sinh(x)^3 + a^2*x - 2*(a^2 + 3*b^2 - (a^2 + 2*b^2)*x)*cosh(x)^2 + 2*(3*a^2*x*cosh(x)^2 - a^2 - 3*b^2 + (a^2 + 2*b^2)*x + 6*(a*b*x - a*b)*cosh(x))*sinh(x)^2 + 4*(a*b*x - a*b)*cosh(x) - (a^2*cosh(x)^4 + a^2*sinh(x)^4 + 4*a*b*cosh(x)^3 + 4*(a^2*cosh(x) + a*b)*sinh(x)^3 + 4*a*b*cosh(x) + 2*(a^2 + 2*b^2)*cosh(x)^2 + 2*(3*a^2*cosh(x)^2 + 6*a*b*cosh(x) + a^2 + 2*b^2)*sinh(x)^2 + a^2 + 4*(a^2*cosh(x)^3 + 3*a*b*cosh(x)^2 + a*b + (a^2 + 2*b^2)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b)/(cosh(x) - sinh(x))) + 4*(a^2*x*cosh(x)^3 + a*b*x + 3*(a*b*x - a*b)*cosh(x)^2 - a*b - (a^2 + 3*b^2 - (a^2 + 2*b^2)*x)*cosh(x))*sinh(x))/(a^5*cosh(x)^4 + a^5*sinh(x)^4 + 4*a^4*b*cosh(x)^3 + 4*a^4*b*cosh(x) + a^5 + 4*(a^5*cosh(x) + a^4*b)*sinh(x)^3 + 2*(a^5 + 2*a^3*b^2)*cosh(x)^2 + 2*(3*a^5*cosh(x)^2 + 6*a^4*b*cosh(x) + a^5 + 2*a^3*b^2)*sinh(x)^2 + 4*(a^5*cosh(x)^3 + 3*a^4*b*cosh(x)^2 + a^4*b + (a^5 + 2*a^3*b^2)*cosh(x))*sinh(x))","B",0
652,1,5830,0,0.550409," ","integrate(1/(a*coth(x)+b*csch(x))^4,x, algorithm=""fricas"")","\left[\frac{6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{6} + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \sinh\left(x\right)^{6} + 16 \, a^{7} - 38 \, a^{5} b^{2} + 22 \, a^{3} b^{4} + 6 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{5} + 6 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right) + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \sinh\left(x\right)^{5} + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{4} + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 15 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{2} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x + 5 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)^{3} + 4 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 30 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{3} + 15 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 15 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{4} + 10 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{6} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \sinh\left(x\right)^{6} + 3 \, a^{5} b - 2 \, a^{3} b^{3} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right) + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) - a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{-a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) + a}\right) + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x + 6 \, {\left(11 \, a^{6} b - 27 \, a^{4} b^{3} + 16 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right) + 6 \, {\left(11 \, a^{6} b - 27 \, a^{4} b^{3} + 16 \, a^{2} b^{5} + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{5} + 5 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{4} + 4 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x + 2 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{6} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{3 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{6} + 3 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \sinh\left(x\right)^{6} + 8 \, a^{7} - 19 \, a^{5} b^{2} + 11 \, a^{3} b^{4} + 3 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{5} + 3 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right) + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \sinh\left(x\right)^{5} + 3 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 15 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{2} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x + 5 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)^{3} + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 30 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{3} + 15 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 15 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{4} + 10 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{6} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \sinh\left(x\right)^{6} + 3 \, a^{5} b - 2 \, a^{3} b^{3} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5} + 5 \, {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right) + 6 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + {\left(3 \, a^{5} b - 2 \, a^{3} b^{3}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(9 \, a^{4} b^{2} - 4 \, b^{6}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} - 8 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(-\frac{a \cosh\left(x\right) + a \sinh\left(x\right) + b}{\sqrt{a^{2} - b^{2}}}\right) + 3 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x + 3 \, {\left(11 \, a^{6} b - 27 \, a^{4} b^{3} + 16 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right) + 3 \, {\left(11 \, a^{6} b - 27 \, a^{4} b^{3} + 16 \, a^{2} b^{5} + 6 \, {\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} x \cosh\left(x\right)^{5} + 5 \, {\left(5 \, a^{6} b - 11 \, a^{4} b^{3} + 6 \, a^{2} b^{5} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x\right)} \cosh\left(x\right)^{4} + 4 \, {\left(4 \, a^{7} + 5 \, a^{5} b^{2} - 27 \, a^{3} b^{4} + 18 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 2 \, {\left(24 \, a^{6} b - 41 \, a^{4} b^{3} - 5 \, a^{2} b^{5} + 22 \, b^{7} + 6 \, {\left(3 \, a^{6} b - 4 \, a^{4} b^{3} - a^{2} b^{5} + 2 \, b^{7}\right)} x\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} x + 2 \, {\left(4 \, a^{7} + 8 \, a^{5} b^{2} - 38 \, a^{3} b^{4} + 26 \, a b^{6} + 3 \, {\left(a^{7} + 2 \, a^{5} b^{2} - 7 \, a^{3} b^{4} + 4 \, a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{6} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6} + 5 \, {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5} + {\left(a^{11} - 2 \, a^{9} b^{2} + a^{7} b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{10} b - 2 \, a^{8} b^{3} + a^{6} b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{10} b - 4 \, a^{8} b^{3} - a^{6} b^{5} + 2 \, a^{4} b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{11} + 2 \, a^{9} b^{2} - 7 \, a^{7} b^{4} + 4 \, a^{5} b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/6*(6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^6 + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*sinh(x)^6 + 16*a^7 - 38*a^5*b^2 + 22*a^3*b^4 + 6*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^5 + 6*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x) + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*sinh(x)^5 + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^4 + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 15*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^2 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x + 5*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x))*sinh(x)^4 + 4*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x)^3 + 4*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 30*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^3 + 15*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^2 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x))*sinh(x)^3 + 6*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^2 + 6*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 15*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^4 + 10*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^3 + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^2 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x))*sinh(x)^2 - 3*((3*a^5*b - 2*a^3*b^3)*cosh(x)^6 + (3*a^5*b - 2*a^3*b^3)*sinh(x)^6 + 3*a^5*b - 2*a^3*b^3 + 6*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^5 + 6*(3*a^4*b^2 - 2*a^2*b^4 + (3*a^5*b - 2*a^3*b^3)*cosh(x))*sinh(x)^5 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^4 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^2 + 10*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x))*sinh(x)^4 + 4*(9*a^4*b^2 - 4*b^6)*cosh(x)^3 + 4*(9*a^4*b^2 - 4*b^6 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^3 + 15*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^2 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x))*sinh(x)^3 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^2 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^4 + 20*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^3 + 6*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^2 + 4*(9*a^4*b^2 - 4*b^6)*cosh(x))*sinh(x)^2 + 6*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x) + 6*(3*a^4*b^2 - 2*a^2*b^4 + (3*a^5*b - 2*a^3*b^3)*cosh(x)^5 + 5*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^4 + 2*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^3 + 2*(9*a^4*b^2 - 4*b^6)*cosh(x)^2 + (3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) - a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(-a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) + a)) + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x + 6*(11*a^6*b - 27*a^4*b^3 + 16*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x) + 6*(11*a^6*b - 27*a^4*b^3 + 16*a^2*b^5 + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^5 + 5*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^4 + 4*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^3 + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x)^2 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x + 2*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x))*sinh(x))/(a^11 - 2*a^9*b^2 + a^7*b^4 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^6 + (a^11 - 2*a^9*b^2 + a^7*b^4)*sinh(x)^6 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^5 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x))*sinh(x)^5 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^4 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^2 + 10*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x))*sinh(x)^4 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x)^3 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^3 + 15*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^2 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x))*sinh(x)^3 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^2 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^4 + 20*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^3 + 6*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^2 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x))*sinh(x)^2 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x) + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^5 + 5*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^4 + 2*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^3 + 2*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x)^2 + (a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x))*sinh(x)), 1/3*(3*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^6 + 3*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*sinh(x)^6 + 8*a^7 - 19*a^5*b^2 + 11*a^3*b^4 + 3*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^5 + 3*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x) + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*sinh(x)^5 + 3*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^4 + 3*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 15*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^2 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x + 5*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x))*sinh(x)^4 + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x)^3 + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 30*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^3 + 15*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^2 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x))*sinh(x)^3 + 3*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^2 + 3*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 15*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^4 + 10*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^3 + 6*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^2 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x))*sinh(x)^2 + 3*((3*a^5*b - 2*a^3*b^3)*cosh(x)^6 + (3*a^5*b - 2*a^3*b^3)*sinh(x)^6 + 3*a^5*b - 2*a^3*b^3 + 6*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^5 + 6*(3*a^4*b^2 - 2*a^2*b^4 + (3*a^5*b - 2*a^3*b^3)*cosh(x))*sinh(x)^5 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^4 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^2 + 10*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x))*sinh(x)^4 + 4*(9*a^4*b^2 - 4*b^6)*cosh(x)^3 + 4*(9*a^4*b^2 - 4*b^6 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^3 + 15*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^2 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x))*sinh(x)^3 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^2 + 3*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5 + 5*(3*a^5*b - 2*a^3*b^3)*cosh(x)^4 + 20*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^3 + 6*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^2 + 4*(9*a^4*b^2 - 4*b^6)*cosh(x))*sinh(x)^2 + 6*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x) + 6*(3*a^4*b^2 - 2*a^2*b^4 + (3*a^5*b - 2*a^3*b^3)*cosh(x)^5 + 5*(3*a^4*b^2 - 2*a^2*b^4)*cosh(x)^4 + 2*(3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x)^3 + 2*(9*a^4*b^2 - 4*b^6)*cosh(x)^2 + (3*a^5*b + 10*a^3*b^3 - 8*a*b^5)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(-(a*cosh(x) + a*sinh(x) + b)/sqrt(a^2 - b^2)) + 3*(a^7 - 2*a^5*b^2 + a^3*b^4)*x + 3*(11*a^6*b - 27*a^4*b^3 + 16*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x) + 3*(11*a^6*b - 27*a^4*b^3 + 16*a^2*b^5 + 6*(a^7 - 2*a^5*b^2 + a^3*b^4)*x*cosh(x)^5 + 5*(5*a^6*b - 11*a^4*b^3 + 6*a^2*b^5 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x)*cosh(x)^4 + 4*(4*a^7 + 5*a^5*b^2 - 27*a^3*b^4 + 18*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x)^3 + 2*(24*a^6*b - 41*a^4*b^3 - 5*a^2*b^5 + 22*b^7 + 6*(3*a^6*b - 4*a^4*b^3 - a^2*b^5 + 2*b^7)*x)*cosh(x)^2 + 6*(a^6*b - 2*a^4*b^3 + a^2*b^5)*x + 2*(4*a^7 + 8*a^5*b^2 - 38*a^3*b^4 + 26*a*b^6 + 3*(a^7 + 2*a^5*b^2 - 7*a^3*b^4 + 4*a*b^6)*x)*cosh(x))*sinh(x))/(a^11 - 2*a^9*b^2 + a^7*b^4 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^6 + (a^11 - 2*a^9*b^2 + a^7*b^4)*sinh(x)^6 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^5 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x))*sinh(x)^5 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^4 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^2 + 10*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x))*sinh(x)^4 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x)^3 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^3 + 15*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^2 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x))*sinh(x)^3 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^2 + 3*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6 + 5*(a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^4 + 20*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^3 + 6*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^2 + 4*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x))*sinh(x)^2 + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x) + 6*(a^10*b - 2*a^8*b^3 + a^6*b^5 + (a^11 - 2*a^9*b^2 + a^7*b^4)*cosh(x)^5 + 5*(a^10*b - 2*a^8*b^3 + a^6*b^5)*cosh(x)^4 + 2*(a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x)^3 + 2*(3*a^10*b - 4*a^8*b^3 - a^6*b^5 + 2*a^4*b^7)*cosh(x)^2 + (a^11 + 2*a^9*b^2 - 7*a^7*b^4 + 4*a^5*b^6)*cosh(x))*sinh(x))]","B",0
653,1,2564,0,0.494948," ","integrate(1/(a*coth(x)+b*csch(x))^5,x, algorithm=""fricas"")","-\frac{3 \, a^{4} x \cosh\left(x\right)^{8} + 3 \, a^{4} x \sinh\left(x\right)^{8} + 24 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{7} + 24 \, {\left(a^{4} x \cosh\left(x\right) + a^{3} b x - a^{3} b\right)} \sinh\left(x\right)^{7} - 12 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{6} + 12 \, {\left(7 \, a^{4} x \cosh\left(x\right)^{2} - a^{4} - 9 \, a^{2} b^{2} + {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x + 14 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 8 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{5} + 8 \, {\left(21 \, a^{4} x \cosh\left(x\right)^{3} - 11 \, a^{3} b - 22 \, a b^{3} + 63 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x - 9 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, a^{4} x - 2 \, {\left(6 \, a^{4} + 112 \, a^{2} b^{2} + 50 \, b^{4} - 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{4} + 2 \, {\left(105 \, a^{4} x \cosh\left(x\right)^{4} - 6 \, a^{4} - 112 \, a^{2} b^{2} - 50 \, b^{4} + 420 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{3} - 90 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} x - 20 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 8 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{3} + 8 \, {\left(21 \, a^{4} x \cosh\left(x\right)^{5} + 105 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{4} - 11 \, a^{3} b - 22 \, a b^{3} - 30 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{3} - 10 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x - {\left(6 \, a^{4} + 112 \, a^{2} b^{2} + 50 \, b^{4} - 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 12 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{2} + 4 \, {\left(21 \, a^{4} x \cosh\left(x\right)^{6} + 126 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{5} - 45 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{4} - 3 \, a^{4} - 27 \, a^{2} b^{2} - 20 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{3} - 3 \, {\left(6 \, a^{4} + 112 \, a^{2} b^{2} + 50 \, b^{4} - 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x - 6 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 24 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right) - 3 \, {\left(a^{4} \cosh\left(x\right)^{8} + a^{4} \sinh\left(x\right)^{8} + 8 \, a^{3} b \cosh\left(x\right)^{7} + 8 \, {\left(a^{4} \cosh\left(x\right) + a^{3} b\right)} \sinh\left(x\right)^{7} + 4 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, a^{4} \cosh\left(x\right)^{2} + 14 \, a^{3} b \cosh\left(x\right) + a^{4} + 6 \, a^{2} b^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 8 \, {\left(7 \, a^{4} \cosh\left(x\right)^{3} + 21 \, a^{3} b \cosh\left(x\right)^{2} + 3 \, a^{3} b + 4 \, a b^{3} + 3 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{3} b \cosh\left(x\right) + 2 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, a^{4} \cosh\left(x\right)^{4} + 140 \, a^{3} b \cosh\left(x\right)^{3} + 3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4} + 30 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + a^{4} + 8 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(7 \, a^{4} \cosh\left(x\right)^{5} + 35 \, a^{3} b \cosh\left(x\right)^{4} + 3 \, a^{3} b + 4 \, a b^{3} + 10 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{4} \cosh\left(x\right)^{6} + 42 \, a^{3} b \cosh\left(x\right)^{5} + 15 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + a^{4} + 6 \, a^{2} b^{2} + 20 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{4} \cosh\left(x\right)^{7} + 7 \, a^{3} b \cosh\left(x\right)^{6} + 3 \, {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} + a^{3} b + {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} + 6 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left(3 \, a^{4} x \cosh\left(x\right)^{7} + 21 \, {\left(a^{3} b x - a^{3} b\right)} \cosh\left(x\right)^{6} - 9 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)^{5} + 3 \, a^{3} b x - 5 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{4} - 3 \, a^{3} b - {\left(6 \, a^{4} + 112 \, a^{2} b^{2} + 50 \, b^{4} - 3 \, {\left(3 \, a^{4} + 24 \, a^{2} b^{2} + 8 \, b^{4}\right)} x\right)} \cosh\left(x\right)^{3} - 3 \, {\left(11 \, a^{3} b + 22 \, a b^{3} - 3 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} x\right)} \cosh\left(x\right)^{2} - 3 \, {\left(a^{4} + 9 \, a^{2} b^{2} - {\left(a^{4} + 6 \, a^{2} b^{2}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{9} \cosh\left(x\right)^{8} + a^{9} \sinh\left(x\right)^{8} + 8 \, a^{8} b \cosh\left(x\right)^{7} + 8 \, a^{8} b \cosh\left(x\right) + a^{9} + 8 \, {\left(a^{9} \cosh\left(x\right) + a^{8} b\right)} \sinh\left(x\right)^{7} + 4 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, a^{9} \cosh\left(x\right)^{2} + 14 \, a^{8} b \cosh\left(x\right) + a^{9} + 6 \, a^{7} b^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{5} + 8 \, {\left(7 \, a^{9} \cosh\left(x\right)^{3} + 21 \, a^{8} b \cosh\left(x\right)^{2} + 3 \, a^{8} b + 4 \, a^{6} b^{3} + 3 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{9} + 24 \, a^{7} b^{2} + 8 \, a^{5} b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, a^{9} \cosh\left(x\right)^{4} + 140 \, a^{8} b \cosh\left(x\right)^{3} + 3 \, a^{9} + 24 \, a^{7} b^{2} + 8 \, a^{5} b^{4} + 30 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{2} + 20 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 8 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(7 \, a^{9} \cosh\left(x\right)^{5} + 35 \, a^{8} b \cosh\left(x\right)^{4} + 3 \, a^{8} b + 4 \, a^{6} b^{3} + 10 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{9} + 24 \, a^{7} b^{2} + 8 \, a^{5} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{9} \cosh\left(x\right)^{6} + 42 \, a^{8} b \cosh\left(x\right)^{5} + a^{9} + 6 \, a^{7} b^{2} + 15 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{9} + 24 \, a^{7} b^{2} + 8 \, a^{5} b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{9} \cosh\left(x\right)^{7} + 7 \, a^{8} b \cosh\left(x\right)^{6} + a^{8} b + 3 \, {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{9} + 24 \, a^{7} b^{2} + 8 \, a^{5} b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{8} b + 4 \, a^{6} b^{3}\right)} \cosh\left(x\right)^{2} + {\left(a^{9} + 6 \, a^{7} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(3*a^4*x*cosh(x)^8 + 3*a^4*x*sinh(x)^8 + 24*(a^3*b*x - a^3*b)*cosh(x)^7 + 24*(a^4*x*cosh(x) + a^3*b*x - a^3*b)*sinh(x)^7 - 12*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^6 + 12*(7*a^4*x*cosh(x)^2 - a^4 - 9*a^2*b^2 + (a^4 + 6*a^2*b^2)*x + 14*(a^3*b*x - a^3*b)*cosh(x))*sinh(x)^6 - 8*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^5 + 8*(21*a^4*x*cosh(x)^3 - 11*a^3*b - 22*a*b^3 + 63*(a^3*b*x - a^3*b)*cosh(x)^2 + 3*(3*a^3*b + 4*a*b^3)*x - 9*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x))*sinh(x)^5 + 3*a^4*x - 2*(6*a^4 + 112*a^2*b^2 + 50*b^4 - 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*x)*cosh(x)^4 + 2*(105*a^4*x*cosh(x)^4 - 6*a^4 - 112*a^2*b^2 - 50*b^4 + 420*(a^3*b*x - a^3*b)*cosh(x)^3 - 90*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^2 + 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*x - 20*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x))*sinh(x)^4 - 8*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^3 + 8*(21*a^4*x*cosh(x)^5 + 105*(a^3*b*x - a^3*b)*cosh(x)^4 - 11*a^3*b - 22*a*b^3 - 30*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^3 - 10*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^2 + 3*(3*a^3*b + 4*a*b^3)*x - (6*a^4 + 112*a^2*b^2 + 50*b^4 - 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*x)*cosh(x))*sinh(x)^3 - 12*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^2 + 4*(21*a^4*x*cosh(x)^6 + 126*(a^3*b*x - a^3*b)*cosh(x)^5 - 45*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^4 - 3*a^4 - 27*a^2*b^2 - 20*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^3 - 3*(6*a^4 + 112*a^2*b^2 + 50*b^4 - 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*x)*cosh(x)^2 + 3*(a^4 + 6*a^2*b^2)*x - 6*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x))*sinh(x)^2 + 24*(a^3*b*x - a^3*b)*cosh(x) - 3*(a^4*cosh(x)^8 + a^4*sinh(x)^8 + 8*a^3*b*cosh(x)^7 + 8*(a^4*cosh(x) + a^3*b)*sinh(x)^7 + 4*(a^4 + 6*a^2*b^2)*cosh(x)^6 + 4*(7*a^4*cosh(x)^2 + 14*a^3*b*cosh(x) + a^4 + 6*a^2*b^2)*sinh(x)^6 + 8*(3*a^3*b + 4*a*b^3)*cosh(x)^5 + 8*(7*a^4*cosh(x)^3 + 21*a^3*b*cosh(x)^2 + 3*a^3*b + 4*a*b^3 + 3*(a^4 + 6*a^2*b^2)*cosh(x))*sinh(x)^5 + 8*a^3*b*cosh(x) + 2*(3*a^4 + 24*a^2*b^2 + 8*b^4)*cosh(x)^4 + 2*(35*a^4*cosh(x)^4 + 140*a^3*b*cosh(x)^3 + 3*a^4 + 24*a^2*b^2 + 8*b^4 + 30*(a^4 + 6*a^2*b^2)*cosh(x)^2 + 20*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^4 + a^4 + 8*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 8*(7*a^4*cosh(x)^5 + 35*a^3*b*cosh(x)^4 + 3*a^3*b + 4*a*b^3 + 10*(a^4 + 6*a^2*b^2)*cosh(x)^3 + 10*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + (3*a^4 + 24*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^3 + 4*(a^4 + 6*a^2*b^2)*cosh(x)^2 + 4*(7*a^4*cosh(x)^6 + 42*a^3*b*cosh(x)^5 + 15*(a^4 + 6*a^2*b^2)*cosh(x)^4 + a^4 + 6*a^2*b^2 + 20*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*cosh(x)^2 + 6*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^2 + 8*(a^4*cosh(x)^7 + 7*a^3*b*cosh(x)^6 + 3*(a^4 + 6*a^2*b^2)*cosh(x)^5 + 5*(3*a^3*b + 4*a*b^3)*cosh(x)^4 + a^3*b + (3*a^4 + 24*a^2*b^2 + 8*b^4)*cosh(x)^3 + 3*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + (a^4 + 6*a^2*b^2)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b)/(cosh(x) - sinh(x))) + 8*(3*a^4*x*cosh(x)^7 + 21*(a^3*b*x - a^3*b)*cosh(x)^6 - 9*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x)^5 + 3*a^3*b*x - 5*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^4 - 3*a^3*b - (6*a^4 + 112*a^2*b^2 + 50*b^4 - 3*(3*a^4 + 24*a^2*b^2 + 8*b^4)*x)*cosh(x)^3 - 3*(11*a^3*b + 22*a*b^3 - 3*(3*a^3*b + 4*a*b^3)*x)*cosh(x)^2 - 3*(a^4 + 9*a^2*b^2 - (a^4 + 6*a^2*b^2)*x)*cosh(x))*sinh(x))/(a^9*cosh(x)^8 + a^9*sinh(x)^8 + 8*a^8*b*cosh(x)^7 + 8*a^8*b*cosh(x) + a^9 + 8*(a^9*cosh(x) + a^8*b)*sinh(x)^7 + 4*(a^9 + 6*a^7*b^2)*cosh(x)^6 + 4*(7*a^9*cosh(x)^2 + 14*a^8*b*cosh(x) + a^9 + 6*a^7*b^2)*sinh(x)^6 + 8*(3*a^8*b + 4*a^6*b^3)*cosh(x)^5 + 8*(7*a^9*cosh(x)^3 + 21*a^8*b*cosh(x)^2 + 3*a^8*b + 4*a^6*b^3 + 3*(a^9 + 6*a^7*b^2)*cosh(x))*sinh(x)^5 + 2*(3*a^9 + 24*a^7*b^2 + 8*a^5*b^4)*cosh(x)^4 + 2*(35*a^9*cosh(x)^4 + 140*a^8*b*cosh(x)^3 + 3*a^9 + 24*a^7*b^2 + 8*a^5*b^4 + 30*(a^9 + 6*a^7*b^2)*cosh(x)^2 + 20*(3*a^8*b + 4*a^6*b^3)*cosh(x))*sinh(x)^4 + 8*(3*a^8*b + 4*a^6*b^3)*cosh(x)^3 + 8*(7*a^9*cosh(x)^5 + 35*a^8*b*cosh(x)^4 + 3*a^8*b + 4*a^6*b^3 + 10*(a^9 + 6*a^7*b^2)*cosh(x)^3 + 10*(3*a^8*b + 4*a^6*b^3)*cosh(x)^2 + (3*a^9 + 24*a^7*b^2 + 8*a^5*b^4)*cosh(x))*sinh(x)^3 + 4*(a^9 + 6*a^7*b^2)*cosh(x)^2 + 4*(7*a^9*cosh(x)^6 + 42*a^8*b*cosh(x)^5 + a^9 + 6*a^7*b^2 + 15*(a^9 + 6*a^7*b^2)*cosh(x)^4 + 20*(3*a^8*b + 4*a^6*b^3)*cosh(x)^3 + 3*(3*a^9 + 24*a^7*b^2 + 8*a^5*b^4)*cosh(x)^2 + 6*(3*a^8*b + 4*a^6*b^3)*cosh(x))*sinh(x)^2 + 8*(a^9*cosh(x)^7 + 7*a^8*b*cosh(x)^6 + a^8*b + 3*(a^9 + 6*a^7*b^2)*cosh(x)^5 + 5*(3*a^8*b + 4*a^6*b^3)*cosh(x)^4 + (3*a^9 + 24*a^7*b^2 + 8*a^5*b^4)*cosh(x)^3 + 3*(3*a^8*b + 4*a^6*b^3)*cosh(x)^2 + (a^9 + 6*a^7*b^2)*cosh(x))*sinh(x))","B",0
654,1,270,0,0.431846," ","integrate((coth(x)+csch(x))^5,x, algorithm=""fricas"")","-\frac{x \cosh\left(x\right)^{4} + x \sinh\left(x\right)^{4} - 4 \, {\left(x - 2\right)} \cosh\left(x\right)^{3} + 4 \, {\left(x \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x - 4\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} - 6 \, {\left(x - 2\right)} \cosh\left(x\right) + 3 \, x - 4\right)} \sinh\left(x\right)^{2} - 4 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 4 \, {\left(x \cosh\left(x\right)^{3} - 3 \, {\left(x - 2\right)} \cosh\left(x\right)^{2} + {\left(3 \, x - 4\right)} \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right) + 1}"," ",0,"-(x*cosh(x)^4 + x*sinh(x)^4 - 4*(x - 2)*cosh(x)^3 + 4*(x*cosh(x) - x + 2)*sinh(x)^3 + 2*(3*x - 4)*cosh(x)^2 + 2*(3*x*cosh(x)^2 - 6*(x - 2)*cosh(x) + 3*x - 4)*sinh(x)^2 - 4*(x - 2)*cosh(x) - 2*(cosh(x)^4 + 4*(cosh(x) - 1)*sinh(x)^3 + sinh(x)^4 - 4*cosh(x)^3 + 6*(cosh(x)^2 - 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x)^2 + 3*cosh(x) - 1)*sinh(x) - 4*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 4*(x*cosh(x)^3 - 3*(x - 2)*cosh(x)^2 + (3*x - 4)*cosh(x) - x + 2)*sinh(x) + x)/(cosh(x)^4 + 4*(cosh(x) - 1)*sinh(x)^3 + sinh(x)^4 - 4*cosh(x)^3 + 6*(cosh(x)^2 - 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x)^2 + 3*cosh(x) - 1)*sinh(x) - 4*cosh(x) + 1)","B",0
655,1,68,0,0.439856," ","integrate((coth(x)+csch(x))^4,x, algorithm=""fricas"")","\frac{3 \, x \cosh\left(x\right)^{2} + 3 \, x \sinh\left(x\right)^{2} - 4 \, {\left(3 \, x + 10\right)} \cosh\left(x\right) + 2 \, {\left(3 \, x \cosh\left(x\right) - 3 \, x - 4\right)} \sinh\left(x\right) + 9 \, x + 24}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"1/3*(3*x*cosh(x)^2 + 3*x*sinh(x)^2 - 4*(3*x + 10)*cosh(x) + 2*(3*x*cosh(x) - 3*x - 4)*sinh(x) + 9*x + 24)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 4*cosh(x) + 3)","B",0
656,1,91,0,0.425016," ","integrate((coth(x)+csch(x))^3,x, algorithm=""fricas"")","-\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} - 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(x \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}"," ",0,"-(x*cosh(x)^2 + x*sinh(x)^2 - 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*(x*cosh(x) - x + 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)","B",0
657,1,22,0,0.398625," ","integrate((coth(x)+csch(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) - x - 4}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"(x*cosh(x) + x*sinh(x) - x - 4)/(cosh(x) + sinh(x) - 1)","A",0
658,1,13,0,0.398859," ","integrate(coth(x)+csch(x),x, algorithm=""fricas"")","-x + 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"-x + 2*log(cosh(x) + sinh(x) - 1)","A",0
659,1,13,0,0.408189," ","integrate(1/(coth(x)+csch(x)),x, algorithm=""fricas"")","-x + 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)"," ",0,"-x + 2*log(cosh(x) + sinh(x) + 1)","B",0
660,1,20,0,0.395769," ","integrate(1/(coth(x)+csch(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) + x + 4}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"(x*cosh(x) + x*sinh(x) + x + 4)/(cosh(x) + sinh(x) + 1)","A",0
661,1,89,0,0.414140," ","integrate(1/(coth(x)+csch(x))^3,x, algorithm=""fricas"")","-\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} + 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(x \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}"," ",0,"-(x*cosh(x)^2 + x*sinh(x)^2 + 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 2*(x*cosh(x) + x - 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)","B",0
662,1,68,0,0.408120," ","integrate(1/(coth(x)+csch(x))^4,x, algorithm=""fricas"")","\frac{3 \, x \cosh\left(x\right)^{2} + 3 \, x \sinh\left(x\right)^{2} + 4 \, {\left(3 \, x + 10\right)} \cosh\left(x\right) + 2 \, {\left(3 \, x \cosh\left(x\right) + 3 \, x + 4\right)} \sinh\left(x\right) + 9 \, x + 24}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"1/3*(3*x*cosh(x)^2 + 3*x*sinh(x)^2 + 4*(3*x + 10)*cosh(x) + 2*(3*x*cosh(x) + 3*x + 4)*sinh(x) + 9*x + 24)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 4*cosh(x) + 3)","B",0
663,1,266,0,0.407194," ","integrate(1/(coth(x)+csch(x))^5,x, algorithm=""fricas"")","-\frac{x \cosh\left(x\right)^{4} + x \sinh\left(x\right)^{4} + 4 \, {\left(x - 2\right)} \cosh\left(x\right)^{3} + 4 \, {\left(x \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x - 4\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + 6 \, {\left(x - 2\right)} \cosh\left(x\right) + 3 \, x - 4\right)} \sinh\left(x\right)^{2} + 4 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 4 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 4 \, {\left(x \cosh\left(x\right)^{3} + 3 \, {\left(x - 2\right)} \cosh\left(x\right)^{2} + {\left(3 \, x - 4\right)} \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 4 \, \cosh\left(x\right) + 1}"," ",0,"-(x*cosh(x)^4 + x*sinh(x)^4 + 4*(x - 2)*cosh(x)^3 + 4*(x*cosh(x) + x - 2)*sinh(x)^3 + 2*(3*x - 4)*cosh(x)^2 + 2*(3*x*cosh(x)^2 + 6*(x - 2)*cosh(x) + 3*x - 4)*sinh(x)^2 + 4*(x - 2)*cosh(x) - 2*(cosh(x)^4 + 4*(cosh(x) + 1)*sinh(x)^3 + sinh(x)^4 + 4*cosh(x)^3 + 6*(cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 + 3*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x) + 4*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 4*(x*cosh(x)^3 + 3*(x - 2)*cosh(x)^2 + (3*x - 4)*cosh(x) + x - 2)*sinh(x) + x)/(cosh(x)^4 + 4*(cosh(x) + 1)*sinh(x)^3 + sinh(x)^4 + 4*cosh(x)^3 + 6*(cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 + 3*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x) + 4*cosh(x) + 1)","B",0
664,1,265,0,0.403482," ","integrate((-coth(x)+csch(x))^5,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right)^{4} + x \sinh\left(x\right)^{4} + 4 \, {\left(x - 2\right)} \cosh\left(x\right)^{3} + 4 \, {\left(x \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x - 4\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + 6 \, {\left(x - 2\right)} \cosh\left(x\right) + 3 \, x - 4\right)} \sinh\left(x\right)^{2} + 4 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 4 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 4 \, {\left(x \cosh\left(x\right)^{3} + 3 \, {\left(x - 2\right)} \cosh\left(x\right)^{2} + {\left(3 \, x - 4\right)} \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 4 \, \cosh\left(x\right) + 1}"," ",0,"(x*cosh(x)^4 + x*sinh(x)^4 + 4*(x - 2)*cosh(x)^3 + 4*(x*cosh(x) + x - 2)*sinh(x)^3 + 2*(3*x - 4)*cosh(x)^2 + 2*(3*x*cosh(x)^2 + 6*(x - 2)*cosh(x) + 3*x - 4)*sinh(x)^2 + 4*(x - 2)*cosh(x) - 2*(cosh(x)^4 + 4*(cosh(x) + 1)*sinh(x)^3 + sinh(x)^4 + 4*cosh(x)^3 + 6*(cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 + 3*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x) + 4*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 4*(x*cosh(x)^3 + 3*(x - 2)*cosh(x)^2 + (3*x - 4)*cosh(x) + x - 2)*sinh(x) + x)/(cosh(x)^4 + 4*(cosh(x) + 1)*sinh(x)^3 + sinh(x)^4 + 4*cosh(x)^3 + 6*(cosh(x)^2 + 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 + 3*cosh(x)^2 + 3*cosh(x) + 1)*sinh(x) + 4*cosh(x) + 1)","B",0
665,1,68,0,0.441842," ","integrate((-coth(x)+csch(x))^4,x, algorithm=""fricas"")","\frac{3 \, x \cosh\left(x\right)^{2} + 3 \, x \sinh\left(x\right)^{2} + 4 \, {\left(3 \, x + 10\right)} \cosh\left(x\right) + 2 \, {\left(3 \, x \cosh\left(x\right) + 3 \, x + 4\right)} \sinh\left(x\right) + 9 \, x + 24}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"1/3*(3*x*cosh(x)^2 + 3*x*sinh(x)^2 + 4*(3*x + 10)*cosh(x) + 2*(3*x*cosh(x) + 3*x + 4)*sinh(x) + 9*x + 24)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 4*cosh(x) + 3)","B",0
666,1,88,0,0.398872," ","integrate((-coth(x)+csch(x))^3,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} + 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(x \cosh\left(x\right) + x - 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1}"," ",0,"(x*cosh(x)^2 + x*sinh(x)^2 + 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) + 2*(x*cosh(x) + x - 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)","B",0
667,1,20,0,0.388245," ","integrate((-coth(x)+csch(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) + x + 4}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"(x*cosh(x) + x*sinh(x) + x + 4)/(cosh(x) + sinh(x) + 1)","A",0
668,1,11,0,0.402960," ","integrate(-coth(x)+csch(x),x, algorithm=""fricas"")","x - 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)"," ",0,"x - 2*log(cosh(x) + sinh(x) + 1)","A",0
669,1,11,0,0.400669," ","integrate(1/(-coth(x)+csch(x)),x, algorithm=""fricas"")","x - 2 \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"x - 2*log(cosh(x) + sinh(x) - 1)","A",0
670,1,22,0,0.394284," ","integrate(1/(-coth(x)+csch(x))^2,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) - x - 4}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"(x*cosh(x) + x*sinh(x) - x - 4)/(cosh(x) + sinh(x) - 1)","A",0
671,1,90,0,0.436489," ","integrate(1/(-coth(x)+csch(x))^3,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right)^{2} + x \sinh\left(x\right)^{2} - 2 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(x \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1}"," ",0,"(x*cosh(x)^2 + x*sinh(x)^2 - 2*(x - 2)*cosh(x) - 2*(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*(x*cosh(x) - x + 2)*sinh(x) + x)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)","B",0
672,1,68,0,0.408000," ","integrate(1/(-coth(x)+csch(x))^4,x, algorithm=""fricas"")","\frac{3 \, x \cosh\left(x\right)^{2} + 3 \, x \sinh\left(x\right)^{2} - 4 \, {\left(3 \, x + 10\right)} \cosh\left(x\right) + 2 \, {\left(3 \, x \cosh\left(x\right) - 3 \, x - 4\right)} \sinh\left(x\right) + 9 \, x + 24}{3 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right) + 3\right)}}"," ",0,"1/3*(3*x*cosh(x)^2 + 3*x*sinh(x)^2 - 4*(3*x + 10)*cosh(x) + 2*(3*x*cosh(x) - 3*x - 4)*sinh(x) + 9*x + 24)/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 4*cosh(x) + 3)","B",0
673,1,269,0,0.430229," ","integrate(1/(-coth(x)+csch(x))^5,x, algorithm=""fricas"")","\frac{x \cosh\left(x\right)^{4} + x \sinh\left(x\right)^{4} - 4 \, {\left(x - 2\right)} \cosh\left(x\right)^{3} + 4 \, {\left(x \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x - 4\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} - 6 \, {\left(x - 2\right)} \cosh\left(x\right) + 3 \, x - 4\right)} \sinh\left(x\right)^{2} - 4 \, {\left(x - 2\right)} \cosh\left(x\right) - 2 \, {\left(\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 4 \, {\left(x \cosh\left(x\right)^{3} - 3 \, {\left(x - 2\right)} \cosh\left(x\right)^{2} + {\left(3 \, x - 4\right)} \cosh\left(x\right) - x + 2\right)} \sinh\left(x\right) + x}{\cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{3} + 6 \, {\left(\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{2} + 3 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right) + 1}"," ",0,"(x*cosh(x)^4 + x*sinh(x)^4 - 4*(x - 2)*cosh(x)^3 + 4*(x*cosh(x) - x + 2)*sinh(x)^3 + 2*(3*x - 4)*cosh(x)^2 + 2*(3*x*cosh(x)^2 - 6*(x - 2)*cosh(x) + 3*x - 4)*sinh(x)^2 - 4*(x - 2)*cosh(x) - 2*(cosh(x)^4 + 4*(cosh(x) - 1)*sinh(x)^3 + sinh(x)^4 - 4*cosh(x)^3 + 6*(cosh(x)^2 - 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x)^2 + 3*cosh(x) - 1)*sinh(x) - 4*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 4*(x*cosh(x)^3 - 3*(x - 2)*cosh(x)^2 + (3*x - 4)*cosh(x) - x + 2)*sinh(x) + x)/(cosh(x)^4 + 4*(cosh(x) - 1)*sinh(x)^3 + sinh(x)^4 - 4*cosh(x)^3 + 6*(cosh(x)^2 - 2*cosh(x) + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x)^2 + 3*cosh(x) - 1)*sinh(x) - 4*cosh(x) + 1)","B",0
674,1,53,0,0.403198," ","integrate(csch(x)+sinh(x),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{2} - 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*(cosh(x)^2 - 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
675,1,32,0,0.411210," ","integrate((csch(x)+sinh(x))^2,x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 4 \, {\left(3 \, x + 2\right)} \sinh\left(x\right) - 9 \, \cosh\left(x\right)}{8 \, \sinh\left(x\right)}"," ",0,"1/8*(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + 4*(3*x + 2)*sinh(x) - 9*cosh(x))/sinh(x)","A",0
676,1,616,0,0.430159," ","integrate((csch(x)+sinh(x))^3,x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{10} + 10 \, \cosh\left(x\right) \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + 5 \, {\left(9 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{8} + 25 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} + 70 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 50 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} + 350 \, \cosh\left(x\right)^{3} - 75 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} + 175 \, \cosh\left(x\right)^{4} - 75 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{4} - 50 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} + 35 \, \cosh\left(x\right)^{5} - 25 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} + 140 \, \cosh\left(x\right)^{6} - 150 \, \cosh\left(x\right)^{4} - 60 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{2} + 25 \, \cosh\left(x\right)^{2} - 60 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{5} - 2 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} - 10 \, \cosh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 60 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{5} - 2 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} - 10 \, \cosh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 10 \, {\left(\cosh\left(x\right)^{9} + 20 \, \cosh\left(x\right)^{7} - 30 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{24 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{5} - 2 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} - 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} - 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} - 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} - 10 \, \cosh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/24*(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + 5*(9*cosh(x)^2 + 5)*sinh(x)^8 + 25*cosh(x)^8 + 40*(3*cosh(x)^3 + 5*cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 + 70*cosh(x)^2 - 5)*sinh(x)^6 - 50*cosh(x)^6 + 4*(63*cosh(x)^5 + 350*cosh(x)^3 - 75*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 + 175*cosh(x)^4 - 75*cosh(x)^2 - 5)*sinh(x)^4 - 50*cosh(x)^4 + 40*(3*cosh(x)^7 + 35*cosh(x)^5 - 25*cosh(x)^3 - 5*cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 + 140*cosh(x)^6 - 150*cosh(x)^4 - 60*cosh(x)^2 + 5)*sinh(x)^2 + 25*cosh(x)^2 - 60*(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 - 2)*sinh(x)^5 - 2*cosh(x)^5 + 5*(7*cosh(x)^3 - 2*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^3 + cosh(x)^3 + (21*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 - 10*cosh(x)^4 + 3*cosh(x)^2)*sinh(x))*log(cosh(x) + sinh(x) + 1) + 60*(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 - 2)*sinh(x)^5 - 2*cosh(x)^5 + 5*(7*cosh(x)^3 - 2*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^3 + cosh(x)^3 + (21*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 - 10*cosh(x)^4 + 3*cosh(x)^2)*sinh(x))*log(cosh(x) + sinh(x) - 1) + 10*(cosh(x)^9 + 20*cosh(x)^7 - 30*cosh(x)^5 - 20*cosh(x)^3 + 5*cosh(x))*sinh(x) + 1)/(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 - 2)*sinh(x)^5 - 2*cosh(x)^5 + 5*(7*cosh(x)^3 - 2*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 - 20*cosh(x)^2 + 1)*sinh(x)^3 + cosh(x)^3 + (21*cosh(x)^5 - 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 - 10*cosh(x)^4 + 3*cosh(x)^2)*sinh(x))","B",0
677,1,55,0,0.406004," ","integrate((csch(x)+sinh(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)}}{\sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)}}"," ",0,"2*sqrt(1/2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)/sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x))","B",0
678,1,97,0,0.425826," ","integrate((csch(x)+sinh(x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(\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} - 7\right)} \sinh\left(x\right)^{2} - 14 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}{3 \, \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 7)*sinh(x)^2 - 14*cosh(x)^2 + 4*(cosh(x)^3 - 7*cosh(x))*sinh(x) + 1)/(sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x))*(cosh(x) + sinh(x)))","B",0
679,1,259,0,0.440697," ","integrate((csch(x)+sinh(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, \sinh\left(x\right)^{8} + 12 \, {\left(7 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{6} + 108 \, \cosh\left(x\right)^{6} + 24 \, {\left(7 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} + 810 \, \cosh\left(x\right)^{2} - 151\right)} \sinh\left(x\right)^{4} - 302 \, \cosh\left(x\right)^{4} + 8 \, {\left(21 \, \cosh\left(x\right)^{5} + 270 \, \cosh\left(x\right)^{3} - 151 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(7 \, \cosh\left(x\right)^{6} + 135 \, \cosh\left(x\right)^{4} - 151 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{2} + 108 \, \cosh\left(x\right)^{2} + 8 \, {\left(3 \, \cosh\left(x\right)^{7} + 81 \, \cosh\left(x\right)^{5} - 151 \, \cosh\left(x\right)^{3} + 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}{30 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)}}"," ",0,"1/30*sqrt(1/2)*(3*cosh(x)^8 + 24*cosh(x)*sinh(x)^7 + 3*sinh(x)^8 + 12*(7*cosh(x)^2 + 9)*sinh(x)^6 + 108*cosh(x)^6 + 24*(7*cosh(x)^3 + 27*cosh(x))*sinh(x)^5 + 2*(105*cosh(x)^4 + 810*cosh(x)^2 - 151)*sinh(x)^4 - 302*cosh(x)^4 + 8*(21*cosh(x)^5 + 270*cosh(x)^3 - 151*cosh(x))*sinh(x)^3 + 12*(7*cosh(x)^6 + 135*cosh(x)^4 - 151*cosh(x)^2 + 9)*sinh(x)^2 + 108*cosh(x)^2 + 8*(3*cosh(x)^7 + 81*cosh(x)^5 - 151*cosh(x)^3 + 27*cosh(x))*sinh(x) + 3)/((cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(2*cosh(x)^3 - cosh(x))*sinh(x))*sqrt(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 - 1)*sinh(x) - cosh(x)))","B",0
680,1,42,0,0.474486," ","integrate(-cosh(x)+sech(x),x, algorithm=""fricas"")","\frac{4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - \cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*(4*(cosh(x) + sinh(x))*arctan(cosh(x) + sinh(x)) - cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
681,1,30,0,0.480218," ","integrate((-cosh(x)+sech(x))^2,x, algorithm=""fricas"")","\frac{\sinh\left(x\right)^{3} - 4 \, {\left(3 \, x + 2\right)} \cosh\left(x\right) + 3 \, {\left(\cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)}{8 \, \cosh\left(x\right)}"," ",0,"1/8*(sinh(x)^3 - 4*(3*x + 2)*cosh(x) + 3*(cosh(x)^2 + 3)*sinh(x))/cosh(x)","A",0
682,1,486,0,0.449804," ","integrate((-cosh(x)+sech(x))^3,x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{10} + 10 \, \cosh\left(x\right) \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + 5 \, {\left(9 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{8} - 25 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} - 70 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 50 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} - 350 \, \cosh\left(x\right)^{3} - 75 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} - 175 \, \cosh\left(x\right)^{4} - 75 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{4} + 50 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} - 35 \, \cosh\left(x\right)^{5} - 25 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} - 140 \, \cosh\left(x\right)^{6} - 150 \, \cosh\left(x\right)^{4} + 60 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{2} + 120 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} + 2\right)} \sinh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} + 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 25 \, \cosh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} - 20 \, \cosh\left(x\right)^{7} - 30 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 1}{24 \, {\left(\cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + \sinh\left(x\right)^{7} + {\left(21 \, \cosh\left(x\right)^{2} + 2\right)} \sinh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} + 2 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{3} + \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/24*(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + 5*(9*cosh(x)^2 - 5)*sinh(x)^8 - 25*cosh(x)^8 + 40*(3*cosh(x)^3 - 5*cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 - 70*cosh(x)^2 - 5)*sinh(x)^6 - 50*cosh(x)^6 + 4*(63*cosh(x)^5 - 350*cosh(x)^3 - 75*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 - 175*cosh(x)^4 - 75*cosh(x)^2 + 5)*sinh(x)^4 + 50*cosh(x)^4 + 40*(3*cosh(x)^7 - 35*cosh(x)^5 - 25*cosh(x)^3 + 5*cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 - 140*cosh(x)^6 - 150*cosh(x)^4 + 60*cosh(x)^2 + 5)*sinh(x)^2 + 120*(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 + 2)*sinh(x)^5 + 2*cosh(x)^5 + 5*(7*cosh(x)^3 + 2*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^3 + cosh(x)^3 + (21*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 + 10*cosh(x)^4 + 3*cosh(x)^2)*sinh(x))*arctan(cosh(x) + sinh(x)) + 25*cosh(x)^2 + 10*(cosh(x)^9 - 20*cosh(x)^7 - 30*cosh(x)^5 + 20*cosh(x)^3 + 5*cosh(x))*sinh(x) - 1)/(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 + 2)*sinh(x)^5 + 2*cosh(x)^5 + 5*(7*cosh(x)^3 + 2*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 + 20*cosh(x)^2 + 1)*sinh(x)^3 + cosh(x)^3 + (21*cosh(x)^5 + 20*cosh(x)^3 + 3*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 + 10*cosh(x)^4 + 3*cosh(x)^2)*sinh(x))","B",0
683,1,57,0,0.417530," ","integrate((-cosh(x)+sech(x))^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{\frac{1}{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{-\frac{1}{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}}"," ",0,"2*sqrt(1/2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(-1/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x)))","B",0
684,1,99,0,0.425900," ","integrate((-cosh(x)+sech(x))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(\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} + 7\right)} \sinh\left(x\right)^{2} + 14 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{-\frac{1}{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}}}{3 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/3*sqrt(1/2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 7)*sinh(x)^2 + 14*cosh(x)^2 + 4*(cosh(x)^3 + 7*cosh(x))*sinh(x) + 1)*sqrt(-1/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x)))/(cosh(x) + sinh(x))","B",0
685,1,257,0,0.468085," ","integrate((-cosh(x)+sech(x))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, \cosh\left(x\right)^{8} + 24 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, \sinh\left(x\right)^{8} + 12 \, {\left(7 \, \cosh\left(x\right)^{2} - 9\right)} \sinh\left(x\right)^{6} - 108 \, \cosh\left(x\right)^{6} + 24 \, {\left(7 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} - 810 \, \cosh\left(x\right)^{2} - 151\right)} \sinh\left(x\right)^{4} - 302 \, \cosh\left(x\right)^{4} + 8 \, {\left(21 \, \cosh\left(x\right)^{5} - 270 \, \cosh\left(x\right)^{3} - 151 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(7 \, \cosh\left(x\right)^{6} - 135 \, \cosh\left(x\right)^{4} - 151 \, \cosh\left(x\right)^{2} - 9\right)} \sinh\left(x\right)^{2} - 108 \, \cosh\left(x\right)^{2} + 8 \, {\left(3 \, \cosh\left(x\right)^{7} - 81 \, \cosh\left(x\right)^{5} - 151 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)} \sqrt{-\frac{1}{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}}}{30 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/30*sqrt(1/2)*(3*cosh(x)^8 + 24*cosh(x)*sinh(x)^7 + 3*sinh(x)^8 + 12*(7*cosh(x)^2 - 9)*sinh(x)^6 - 108*cosh(x)^6 + 24*(7*cosh(x)^3 - 27*cosh(x))*sinh(x)^5 + 2*(105*cosh(x)^4 - 810*cosh(x)^2 - 151)*sinh(x)^4 - 302*cosh(x)^4 + 8*(21*cosh(x)^5 - 270*cosh(x)^3 - 151*cosh(x))*sinh(x)^3 + 12*(7*cosh(x)^6 - 135*cosh(x)^4 - 151*cosh(x)^2 - 9)*sinh(x)^2 - 108*cosh(x)^2 + 8*(3*cosh(x)^7 - 81*cosh(x)^5 - 151*cosh(x)^3 - 27*cosh(x))*sinh(x) + 3)*sqrt(-1/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x)))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(2*cosh(x)^3 + cosh(x))*sinh(x))","B",0
686,1,96,0,0.451009," ","integrate(1/(sinh(x)+tanh(x)),x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right)}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)}}"," ",0,"-1/2*((cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*cosh(x) + 2*sinh(x))/(cosh(x)^2 + 2*(cosh(x) + 1)*sinh(x) + sinh(x)^2 + 2*cosh(x) + 1)","B",0
687,1,96,0,0.439625," ","integrate(1/(sinh(x)-tanh(x)),x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right)}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, {\left(\cosh\left(x\right) - 1\right)} \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right) + 1\right)}}"," ",0,"-1/2*((cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*cosh(x) + 2*sinh(x))/(cosh(x)^2 + 2*(cosh(x) - 1)*sinh(x) + sinh(x)^2 - 2*cosh(x) + 1)","B",0
688,1,43,0,0.435388," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(a + b\right)} x - a \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} - b^{2}}"," ",0,"-((a + b)*x - a*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^2 - b^2)","A",0
689,1,435,0,0.447243," ","integrate(sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} - a^{2} b - a b^{2} + 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{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}, -\frac{a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2} - 4 \, {\left(a^{2} \cosh\left(x\right) + a^{2} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(a^3 + a^2*b - a*b^2 - b^3 - (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 - 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) - (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 - 2*(a^2*cosh(x) + a^2*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)), -1/2*(a^3 + a^2*b - a*b^2 - b^3 - (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 - 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) - (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 - 4*(a^2*cosh(x) + a^2*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x))]","B",0
690,1,337,0,0.427888," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} x \cosh\left(x\right)^{2} + a^{3} + a^{2} b - a b^{2} - b^{3} + 2 \, {\left(3 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} x\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)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\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}\right)}}"," ",0,"1/8*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^4 + 4*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x)^3 + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^4 + 4*(2*a^3 + 3*a^2*b - b^3)*x*cosh(x)^2 + a^3 + a^2*b - a*b^2 - b^3 + 2*(3*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 + 2*(2*a^3 + 3*a^2*b - b^3)*x)*sinh(x)^2 - 8*(a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^3 + 2*(2*a^3 + 3*a^2*b - b^3)*x*cosh(x))*sinh(x))/((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
691,1,42,0,0.430751," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a + b\right)} x - b \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} - b^{2}}"," ",0,"((a + b)*x - b*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^2 - b^2)","A",0
692,1,435,0,0.466891," ","integrate(cosh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}, -\frac{a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2} - 4 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(a^3 + a^2*b - a*b^2 - b^3 - (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 - 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) - (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 - 2*(b^2*cosh(x) + b^2*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)), -1/2*(a^3 + a^2*b - a*b^2 - b^3 - (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 - 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) - (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 - 4*(b^2*cosh(x) + b^2*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x))]","B",0
693,1,331,0,0.440439," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} x \cosh\left(x\right)^{2} - a^{3} - a^{2} b + a b^{2} + b^{3} + 2 \, {\left(3 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} x\right)} \sinh\left(x\right)^{2} + 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)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{3} - 3 \, a b^{2} - 2 \, b^{3}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\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}\right)}}"," ",0,"1/8*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^4 + 4*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x)^3 + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^4 + 4*(a^3 - 3*a*b^2 - 2*b^3)*x*cosh(x)^2 - a^3 - a^2*b + a*b^2 + b^3 + 2*(3*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 + 2*(a^3 - 3*a*b^2 - 2*b^3)*x)*sinh(x)^2 + 8*(b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^3 + 2*(a^3 - 3*a*b^2 - 2*b^3)*x*cosh(x))*sinh(x))/((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
694,1,200,0,0.468090," ","integrate(tanh(x)/(b*cosh(x)+a*sinh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} b \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{a^{2} - b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + a - b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - a + b}\right) + 2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}{a^{3} - a b^{2}}, -\frac{2 \, {\left(\sqrt{-a^{2} + b^{2}} b \arctan\left(\frac{\sqrt{-a^{2} + b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - {\left(a^{2} - b^{2}\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)}}{a^{3} - a b^{2}}\right]"," ",0,"[(sqrt(a^2 - b^2)*b*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(a^2 - b^2)*(cosh(x) + sinh(x)) + a - b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - a + b)) + 2*(a^2 - b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2), -2*(sqrt(-a^2 + b^2)*b*arctan(sqrt(-a^2 + b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - (a^2 - b^2)*arctan(cosh(x) + sinh(x)))/(a^3 - a*b^2)]","A",0
695,1,239,0,0.457330," ","integrate(coth(x)/(b*cosh(x)+a*sinh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} a \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{a^{2} - b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + a - b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - a + 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^{2} b - b^{3}}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} a \arctan\left(\frac{\sqrt{-a^{2} + b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\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^{2} b - b^{3}}\right]"," ",0,"[(sqrt(a^2 - b^2)*a*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(a^2 - b^2)*(cosh(x) + sinh(x)) + a - b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - a + b)) - (a^2 - b^2)*log(cosh(x) + sinh(x) + 1) + (a^2 - b^2)*log(cosh(x) + sinh(x) - 1))/(a^2*b - b^3), -(2*sqrt(-a^2 + b^2)*a*arctan(sqrt(-a^2 + b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + (a^2 - b^2)*log(cosh(x) + sinh(x) + 1) - (a^2 - b^2)*log(cosh(x) + sinh(x) - 1))/(a^2*b - b^3)]","A",0
696,1,594,0,0.450620," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left({\left(a b + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a b + b^{2}\right)} \sinh\left(x\right)^{2} + a b - b^{2}\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) - 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - 2 \, {\left(a^{3} - a b^{2}\right)} \sinh\left(x\right)}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}, \frac{2 \, {\left({\left({\left(a b + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a b + b^{2}\right)} \sinh\left(x\right)^{2} + a b - b^{2}\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) - {\left(a^{3} - a b^{2}\right)} \sinh\left(x\right)\right)}}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[(((a*b + b^2)*cosh(x)^2 + 2*(a*b + b^2)*cosh(x)*sinh(x) + (a*b + b^2)*sinh(x)^2 + a*b - b^2)*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) - 2*(a^3 - a*b^2)*cosh(x) - 2*(a^3 - a*b^2)*sinh(x))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2), 2*(((a*b + b^2)*cosh(x)^2 + 2*(a*b + b^2)*cosh(x)*sinh(x) + (a*b + b^2)*sinh(x)^2 + a*b - b^2)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - (a^3 - a*b^2)*cosh(x) - (a^3 - a*b^2)*sinh(x))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2)]","B",0
697,1,348,0,0.441023," ","integrate(sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{3} - 2 \, a^{2} b + {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} x - 2 \, {\left(a^{2} b - a b^{2} + {\left(a^{2} b + a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b + a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b + a b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}"," ",0,"((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)^2 + 2*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)*sinh(x) + (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*sinh(x)^2 + 2*a^3 - 2*a^2*b + (a^3 + a^2*b - a*b^2 - b^3)*x - 2*(a^2*b - a*b^2 + (a^2*b + a*b^2)*cosh(x)^2 + 2*(a^2*b + a*b^2)*cosh(x)*sinh(x) + (a^2*b + a*b^2)*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2)","B",0
698,1,1633,0,0.487838," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} - a b^{4} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 6 \, {\left({\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{3} b + a^{2} b^{2}\right)} \sinh\left(x\right)^{3} + {\left(a^{3} b - a^{2} b^{2}\right)} \cosh\left(x\right) + {\left(a^{3} b - a^{2} b^{2} + 3 \, {\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, \frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{5} - a b^{4} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 12 \, {\left({\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{3} b + a^{2} b^{2}\right)} \sinh\left(x\right)^{3} + {\left(a^{3} b - a^{2} b^{2}\right)} \cosh\left(x\right) + {\left(a^{3} b - a^{2} b^{2} + 3 \, {\left(a^{3} b + a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 6*(a^5 - a*b^4)*cosh(x)^2 + 6*(a^5 - a*b^4 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 6*((a^3*b + a^2*b^2)*cosh(x)^3 + 3*(a^3*b + a^2*b^2)*cosh(x)*sinh(x)^2 + (a^3*b + a^2*b^2)*sinh(x)^3 + (a^3*b - a^2*b^2)*cosh(x) + (a^3*b - a^2*b^2 + 3*(a^3*b + a^2*b^2)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + 3*(a^5 - a*b^4)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)), 1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 6*(a^5 - a*b^4)*cosh(x)^2 + 6*(a^5 - a*b^4 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 12*((a^3*b + a^2*b^2)*cosh(x)^3 + 3*(a^3*b + a^2*b^2)*cosh(x)*sinh(x)^2 + (a^3*b + a^2*b^2)*sinh(x)^3 + (a^3*b - a^2*b^2)*cosh(x) + (a^3*b - a^2*b^2 + 3*(a^3*b + a^2*b^2)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + 3*(a^5 - a*b^4)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x))]","B",0
699,1,596,0,0.460666," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left({\left(a^{2} + a b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + a b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + a b\right)} \sinh\left(x\right)^{2} + a^{2} - a b\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - 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^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left({\left({\left(a^{2} + a b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + a b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + a b\right)} \sinh\left(x\right)^{2} + a^{2} - a b\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)\right)}}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[(((a^2 + a*b)*cosh(x)^2 + 2*(a^2 + a*b)*cosh(x)*sinh(x) + (a^2 + a*b)*sinh(x)^2 + a^2 - a*b)*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 2*(a^2*b - b^3)*cosh(x) + 2*(a^2*b - b^3)*sinh(x))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2), -2*(((a^2 + a*b)*cosh(x)^2 + 2*(a^2 + a*b)*cosh(x)*sinh(x) + (a^2 + a*b)*sinh(x)^2 + a^2 - a*b)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - (a^2*b - b^3)*cosh(x) - (a^2*b - b^3)*sinh(x))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2)]","B",0
700,1,348,0,0.449384," ","integrate(cosh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \sinh\left(x\right)^{2} + 2 \, a b^{2} - 2 \, b^{3} + {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} x - 2 \, {\left(a^{2} b - a b^{2} + {\left(a^{2} b + a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b + a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b + a b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}"," ",0,"((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)^2 + 2*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)*sinh(x) + (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*sinh(x)^2 + 2*a*b^2 - 2*b^3 + (a^3 + a^2*b - a*b^2 - b^3)*x - 2*(a^2*b - a*b^2 + (a^2*b + a*b^2)*cosh(x)^2 + 2*(a^2*b + a*b^2)*cosh(x)*sinh(x) + (a^2*b + a*b^2)*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2)","B",0
701,1,1645,0,0.476549," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b - b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b^{2} + a b^{3}\right)} \sinh\left(x\right)^{3} + {\left(a^{2} b^{2} - a b^{3}\right)} \cosh\left(x\right) + {\left(a^{2} b^{2} - a b^{3} + 3 \, {\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) - 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, -\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 6 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b - b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 12 \, {\left({\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b^{2} + a b^{3}\right)} \sinh\left(x\right)^{3} + {\left(a^{2} b^{2} - a b^{3}\right)} \cosh\left(x\right) + {\left(a^{2} b^{2} - a b^{3} + 3 \, {\left(a^{2} b^{2} + a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 6*(a^4*b - b^5)*cosh(x)^2 + 6*(a^4*b - b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^2*b^2 + a*b^3)*cosh(x)^3 + 3*(a^2*b^2 + a*b^3)*cosh(x)*sinh(x)^2 + (a^2*b^2 + a*b^3)*sinh(x)^3 + (a^2*b^2 - a*b^3)*cosh(x) + (a^2*b^2 - a*b^3 + 3*(a^2*b^2 + a*b^3)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) - 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(a^4*b - b^5)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)), -1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 6*(a^4*b - b^5)*cosh(x)^2 + 6*(a^4*b - b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 12*((a^2*b^2 + a*b^3)*cosh(x)^3 + 3*(a^2*b^2 + a*b^3)*cosh(x)*sinh(x)^2 + (a^2*b^2 + a*b^3)*sinh(x)^3 + (a^2*b^2 - a*b^3)*cosh(x) + (a^2*b^2 - a*b^3 + 3*(a^2*b^2 + a*b^3)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(a^4*b - b^5)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x))]","B",0
702,1,216,0,0.407223," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(a \cosh\left(x\right) + {\left(a + 2 \, b\right)} \sinh\left(x\right)\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sinh\left(x\right)^{3} + {\left(3 \, a^{4} + 4 \, a^{3} b - 2 \, a^{2} b^{2} - 4 \, a b^{3} - b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} + 4 \, a^{3} b + 2 \, a^{2} b^{2} - 4 \, a b^{3} - 3 \, b^{4} + 3 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}"," ",0,"-2*(a*cosh(x) + (a + 2*b)*sinh(x))/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^3 + 3*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)*sinh(x)^2 + (a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sinh(x)^3 + (3*a^4 + 4*a^3*b - 2*a^2*b^2 - 4*a*b^3 - b^4)*cosh(x) + (a^4 + 4*a^3*b + 2*a^2*b^2 - 4*a*b^3 - 3*b^4 + 3*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^2)*sinh(x))","B",0
703,1,1268,0,0.479732," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","-\frac{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \sinh\left(x\right)^{4} + 6 \, a^{4} b - 12 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - 2 \, {\left(a^{5} - 3 \, a^{4} b - a^{3} b^{2} + 3 \, a^{2} b^{3} - {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} - 3 \, a^{4} b - a^{3} b^{2} + 3 \, a^{2} b^{3} - 3 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{2} - {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \sinh\left(x\right)^{2} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} x - {\left(a^{5} - 2 \, a^{4} b + 4 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 3 \, a b^{4} + {\left(a^{5} + 2 \, a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 3 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + 2 \, a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 3 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + 2 \, a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 3 \, a b^{4}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} - 3 \, a b^{4} + 3 \, {\left(a^{5} + 2 \, a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 3 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} + 2 \, a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 3 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{3} - {\left(a^{5} - 3 \, a^{4} b - a^{3} b^{2} + 3 \, a^{2} b^{3} - {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{8} - 2 \, a^{7} b - 2 \, a^{6} b^{2} + 6 \, a^{5} b^{3} - 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} + 2 \, a b^{7} - b^{8} + {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \sinh\left(x\right)^{4} + 2 \, {\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} + 2 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} + 3 \, {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - 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)}"," ",0,"-((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^4 + 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)*sinh(x)^3 + (a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*sinh(x)^4 + 6*a^4*b - 12*a^3*b^2 + 6*a^2*b^3 - 2*(a^5 - 3*a^4*b - a^3*b^2 + 3*a^2*b^3 - (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x)^2 - 2*(a^5 - 3*a^4*b - a^3*b^2 + 3*a^2*b^3 - 3*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^2 - (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*sinh(x)^2 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*x - (a^5 - 2*a^4*b + 4*a^3*b^2 - 6*a^2*b^3 + 3*a*b^4 + (a^5 + 2*a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 3*a*b^4)*cosh(x)^4 + 4*(a^5 + 2*a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 3*a*b^4)*cosh(x)*sinh(x)^3 + (a^5 + 2*a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 3*a*b^4)*sinh(x)^4 + 2*(a^5 + 2*a^3*b^2 - 3*a*b^4)*cosh(x)^2 + 2*(a^5 + 2*a^3*b^2 - 3*a*b^4 + 3*(a^5 + 2*a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 3*a*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 + 2*a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 3*a*b^4)*cosh(x)^3 + (a^5 + 2*a^3*b^2 - 3*a*b^4)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^3 - (a^5 - 3*a^4*b - a^3*b^2 + 3*a^2*b^3 - (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x))*sinh(x))/(a^8 - 2*a^7*b - 2*a^6*b^2 + 6*a^5*b^3 - 6*a^3*b^5 + 2*a^2*b^6 + 2*a*b^7 - b^8 + (a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)^4 + 4*(a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)*sinh(x)^3 + (a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*sinh(x)^4 + 2*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2 + 2*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 + 3*(a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)^2)*sinh(x)^2 + 4*((a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - 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
704,1,216,0,0.418031," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sinh\left(x\right)^{3} + {\left(3 \, a^{4} + 4 \, a^{3} b - 2 \, a^{2} b^{2} - 4 \, a b^{3} - b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} + 4 \, a^{3} b + 2 \, a^{2} b^{2} - 4 \, a b^{3} - 3 \, b^{4} + 3 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}"," ",0,"-2*((2*a + b)*cosh(x) + b*sinh(x))/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^3 + 3*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)*sinh(x)^2 + (a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sinh(x)^3 + (3*a^4 + 4*a^3*b - 2*a^2*b^2 - 4*a*b^3 - b^4)*cosh(x) + (a^4 + 4*a^3*b + 2*a^2*b^2 - 4*a*b^3 - 3*b^4 + 3*(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*cosh(x)^2)*sinh(x))","B",0
705,1,1269,0,0.476214," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""fricas"")","\frac{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \sinh\left(x\right)^{4} + 6 \, a^{3} b^{2} - 12 \, a^{2} b^{3} + 6 \, a b^{4} + 2 \, {\left(3 \, a^{3} b^{2} - a^{2} b^{3} - 3 \, a b^{4} + b^{5} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{3} b^{2} - a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 3 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{2} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \sinh\left(x\right)^{2} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} x - {\left(3 \, a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - 2 \, a b^{4} + b^{5} + {\left(3 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(3 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(3 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5} + 3 \, {\left(3 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(3 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{3} + {\left(3 \, a^{3} b^{2} - a^{2} b^{3} - 3 \, a b^{4} + b^{5} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{8} - 2 \, a^{7} b - 2 \, a^{6} b^{2} + 6 \, a^{5} b^{3} - 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} + 2 \, a b^{7} - b^{8} + {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \sinh\left(x\right)^{4} + 2 \, {\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} + 2 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8} + 3 \, {\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - b^{8}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{8} + 2 \, a^{7} b - 2 \, a^{6} b^{2} - 6 \, a^{5} b^{3} + 6 \, a^{3} b^{5} + 2 \, a^{2} b^{6} - 2 \, a b^{7} - 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)}"," ",0,"((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^4 + 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)*sinh(x)^3 + (a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*sinh(x)^4 + 6*a^3*b^2 - 12*a^2*b^3 + 6*a*b^4 + 2*(3*a^3*b^2 - a^2*b^3 - 3*a*b^4 + b^5 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x)^2 + 2*(3*a^3*b^2 - a^2*b^3 - 3*a*b^4 + b^5 + 3*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^2 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*sinh(x)^2 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*x - (3*a^4*b - 6*a^3*b^2 + 4*a^2*b^3 - 2*a*b^4 + b^5 + (3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(x)^4 + 4*(3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(x)*sinh(x)^3 + (3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*sinh(x)^4 + 2*(3*a^4*b - 2*a^2*b^3 - b^5)*cosh(x)^2 + 2*(3*a^4*b - 2*a^2*b^3 - b^5 + 3*(3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(x)^2)*sinh(x)^2 + 4*((3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(x)^3 + (3*a^4*b - 2*a^2*b^3 - b^5)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x*cosh(x)^3 + (3*a^3*b^2 - a^2*b^3 - 3*a*b^4 + b^5 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x))*sinh(x))/(a^8 - 2*a^7*b - 2*a^6*b^2 + 6*a^5*b^3 - 6*a^3*b^5 + 2*a^2*b^6 + 2*a*b^7 - b^8 + (a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)^4 + 4*(a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)*sinh(x)^3 + (a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*sinh(x)^4 + 2*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^2 + 2*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8 + 3*(a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - b^8)*cosh(x)^2)*sinh(x)^2 + 4*((a^8 + 2*a^7*b - 2*a^6*b^2 - 6*a^5*b^3 + 6*a^3*b^5 + 2*a^2*b^6 - 2*a*b^7 - 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
706,1,427,0,0.491550," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[\frac{a^{3} + a^{2} b - a b^{2} - b^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a b \cosh\left(x\right) + a b \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}, \frac{a^{3} + a^{2} b - a b^{2} - b^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2} - 4 \, {\left(a b \cosh\left(x\right) + a b \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right)}{2 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/2*(a^3 + a^2*b - a*b^2 - b^3 + (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 + 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 + 2*(a*b*cosh(x) + a*b*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)), 1/2*(a^3 + a^2*b - a*b^2 - b^3 + (a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 + 2*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x) + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^2 - 4*(a*b*cosh(x) + a*b*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))))/((a^4 - 2*a^2*b^2 + b^4)*cosh(x) + (a^4 - 2*a^2*b^2 + b^4)*sinh(x))]","B",0
707,1,334,0,0.448908," ","integrate(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} x \cosh\left(x\right)^{2} - a^{3} - a^{2} b + a b^{2} + b^{3} + 2 \, {\left(3 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} x\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{2} b \cosh\left(x\right)^{2} + 2 \, a^{2} b \cosh\left(x\right) \sinh\left(x\right) + a^{2} b \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\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}\right)}}"," ",0,"1/8*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^4 + 4*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x)^3 + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^4 - 4*(a^3 + 2*a^2*b + a*b^2)*x*cosh(x)^2 - a^3 - a^2*b + a*b^2 + b^3 + 2*(3*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 - 2*(a^3 + 2*a^2*b + a*b^2)*x)*sinh(x)^2 + 8*(a^2*b*cosh(x)^2 + 2*a^2*b*cosh(x)*sinh(x) + a^2*b*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^3 - 2*(a^3 + 2*a^2*b + a*b^2)*x*cosh(x))*sinh(x))/((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
708,1,1861,0,0.483574," ","integrate(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left(a^{3} b \cosh\left(x\right)^{3} + 3 \, a^{3} b \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{3} b \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{3} b \sinh\left(x\right)^{3}\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}, \frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 48 \, {\left(a^{3} b \cosh\left(x\right)^{3} + 3 \, a^{3} b \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{3} b \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{3} b \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(3 \, a^{5} - 5 \, a^{4} b - 2 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} + 5 \, a^{4} b - 2 \, a^{3} b^{2} - 6 \, a^{2} b^{3} - a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}\right]"," ",0,"[1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^4 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x))*sinh(x)^3 - 3*(3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5)*cosh(x)^2 - 3*(3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 24*(a^3*b*cosh(x)^3 + 3*a^3*b*cosh(x)^2*sinh(x) + 3*a^3*b*cosh(x)*sinh(x)^2 + a^3*b*sinh(x)^3)*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 - 2*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^3 - (3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3), 1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^4 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x))*sinh(x)^3 - 3*(3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5)*cosh(x)^2 - 3*(3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 + 48*(a^3*b*cosh(x)^3 + 3*a^3*b*cosh(x)^2*sinh(x) + 3*a^3*b*cosh(x)*sinh(x)^2 + a^3*b*sinh(x)^3)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 - 2*(3*a^5 - 5*a^4*b - 2*a^3*b^2 + 6*a^2*b^3 - a*b^4 - b^5)*cosh(x)^3 - (3*a^5 + 5*a^4*b - 2*a^3*b^2 - 6*a^2*b^3 - a*b^4 + b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3)]","B",0
709,1,334,0,0.469865," ","integrate(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right)^{2} + a^{3} + a^{2} b - a b^{2} - b^{3} + 2 \, {\left(3 \, {\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} x\right)} \sinh\left(x\right)^{2} - 8 \, {\left(a b^{2} \cosh\left(x\right)^{2} + 2 \, a b^{2} \cosh\left(x\right) \sinh\left(x\right) + a b^{2} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\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}\right)}}"," ",0,"1/8*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^4 + 4*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)*sinh(x)^3 + (a^3 - a^2*b - a*b^2 + b^3)*sinh(x)^4 + 4*(a^2*b + 2*a*b^2 + b^3)*x*cosh(x)^2 + a^3 + a^2*b - a*b^2 - b^3 + 2*(3*(a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^2 + 2*(a^2*b + 2*a*b^2 + b^3)*x)*sinh(x)^2 - 8*(a*b^2*cosh(x)^2 + 2*a*b^2*cosh(x)*sinh(x) + a*b^2*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 4*((a^3 - a^2*b - a*b^2 + b^3)*cosh(x)^3 + 2*(a^2*b + 2*a*b^2 + b^3)*x*cosh(x))*sinh(x))/((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
710,1,1847,0,0.479565," ","integrate(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} - a^{5} - a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - a b^{4} - b^{5} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left(a^{2} b^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} b^{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{2} b^{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{2} b^{2} \sinh\left(x\right)^{3}\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}, \frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} - a^{5} - a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - a b^{4} - b^{5} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 48 \, {\left(a^{2} b^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} b^{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{2} b^{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{2} b^{2} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}\right]"," ",0,"[1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 - a^5 - a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - a*b^4 - b^5 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x)^4 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x))*sinh(x)^3 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^2 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*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(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 - 2*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x)^3 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3), 1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 - a^5 - a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - a*b^4 - b^5 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x)^4 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x))*sinh(x)^3 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x)^2 + 3*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x)^2)*sinh(x)^2 - 48*(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)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 - 2*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5)*cosh(x)^3 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3)]","B",0
711,1,1158,0,0.459794," ","integrate(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4} - 7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} - 8 \, {\left(3 \, a^{4} b + 8 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - b^{5}\right)} x \cosh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + 2 \, {\left(35 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, a^{4} b + 8 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - b^{5}\right)} x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(3 \, a^{4} b + 8 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - b^{5}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{5} + 2 \, a^{4} b - 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} - a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} + a b^{4} - 15 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(3 \, a^{4} b + 8 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - b^{5}\right)} x \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 64 \, {\left(a^{3} b^{2} \cosh\left(x\right)^{4} + 4 \, a^{3} b^{2} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a^{3} b^{2} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a^{3} b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} b^{2} \sinh\left(x\right)^{4}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(3 \, a^{4} b + 8 \, a^{3} b^{2} + 6 \, a^{2} b^{3} - b^{5}\right)} x \cosh\left(x\right)^{3} - {\left(a^{5} + 2 \, a^{4} b - 2 \, a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{64 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\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) + 6 \, {\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)^{2} + 4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{4}\right)}}"," ",0,"1/64*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^8 + 8*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^7 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^8 - 4*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x)^6 - 4*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4 - 7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^6 - 8*(3*a^4*b + 8*a^3*b^2 + 6*a^2*b^3 - b^5)*x*cosh(x)^4 + 8*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - 3*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x))*sinh(x)^5 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + 2*(35*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 30*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x)^2 - 4*(3*a^4*b + 8*a^3*b^2 + 6*a^2*b^3 - b^5)*x)*sinh(x)^4 + 8*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 - 10*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x)^3 - 4*(3*a^4*b + 8*a^3*b^2 + 6*a^2*b^3 - b^5)*x*cosh(x))*sinh(x)^3 - 4*(a^5 + 2*a^4*b - 2*a^2*b^3 - a*b^4)*cosh(x)^2 + 4*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 - a^5 - 2*a^4*b + 2*a^2*b^3 + a*b^4 - 15*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x)^4 - 12*(3*a^4*b + 8*a^3*b^2 + 6*a^2*b^3 - b^5)*x*cosh(x)^2)*sinh(x)^2 + 64*(a^3*b^2*cosh(x)^4 + 4*a^3*b^2*cosh(x)^3*sinh(x) + 6*a^3*b^2*cosh(x)^2*sinh(x)^2 + 4*a^3*b^2*cosh(x)*sinh(x)^3 + a^3*b^2*sinh(x)^4)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 8*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^7 - 3*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4)*cosh(x)^5 - 4*(3*a^4*b + 8*a^3*b^2 + 6*a^2*b^3 - b^5)*x*cosh(x)^3 - (a^5 + 2*a^4*b - 2*a^2*b^3 - a*b^4)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3*sinh(x) + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2*sinh(x)^2 + 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^4)","B",0
712,1,1829,0,0.466115," ","integrate(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left(a b^{3} \cosh\left(x\right)^{3} + 3 \, a b^{3} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a b^{3} \cosh\left(x\right) \sinh\left(x\right)^{2} + a b^{3} \sinh\left(x\right)^{3}\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}, \frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5} + 5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 48 \, {\left(a b^{3} \cosh\left(x\right)^{3} + 3 \, a b^{3} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a b^{3} \cosh\left(x\right) \sinh\left(x\right)^{2} + a b^{3} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 6 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} + a^{4} b - 6 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 5 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 6 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + 5 \, a b^{4} + 3 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\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)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{3}\right)}}\right]"," ",0,"[1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^4 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x))*sinh(x)^3 + 3*(a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5)*cosh(x)^2 + 3*(a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^2)*sinh(x)^2 - 24*(a*b^3*cosh(x)^3 + 3*a*b^3*cosh(x)^2*sinh(x) + 3*a*b^3*cosh(x)*sinh(x)^2 + a*b^3*sinh(x)^3)*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 2*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^3 + (a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3), 1/24*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^4 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + 3*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x))*sinh(x)^3 + 3*(a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5)*cosh(x)^2 + 3*(a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5 + 5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^2)*sinh(x)^2 + 48*(a*b^3*cosh(x)^3 + 3*a*b^3*cosh(x)^2*sinh(x) + 3*a*b^3*cosh(x)*sinh(x)^2 + a*b^3*sinh(x)^3)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 6*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 2*(a^5 + a^4*b - 6*a^3*b^2 + 2*a^2*b^3 + 5*a*b^4 - 3*b^5)*cosh(x)^3 + (a^5 - a^4*b - 6*a^3*b^2 - 2*a^2*b^3 + 5*a*b^4 + 3*b^5)*cosh(x))*sinh(x))/((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)^2*sinh(x) + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^2 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^3)]","B",0
713,1,1162,0,0.611603," ","integrate(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5} + 7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} - 8 \, {\left(a^{5} - 6 \, a^{3} b^{2} - 8 \, a^{2} b^{3} - 3 \, a b^{4}\right)} x \cosh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{5} - a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - a b^{4} - b^{5} + 2 \, {\left(35 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} - 6 \, a^{3} b^{2} - 8 \, a^{2} b^{3} - 3 \, a b^{4}\right)} x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{5} - 6 \, a^{3} b^{2} - 8 \, a^{2} b^{3} - 3 \, a b^{4}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5} + 15 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{5} - 6 \, a^{3} b^{2} - 8 \, a^{2} b^{3} - 3 \, a b^{4}\right)} x \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 64 \, {\left(a^{2} b^{3} \cosh\left(x\right)^{4} + 4 \, a^{2} b^{3} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a^{2} b^{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a^{2} b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} b^{3} \sinh\left(x\right)^{4}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{5} - 6 \, a^{3} b^{2} - 8 \, a^{2} b^{3} - 3 \, a b^{4}\right)} x \cosh\left(x\right)^{3} + {\left(a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{64 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\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) + 6 \, {\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)^{2} + 4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{4}\right)}}"," ",0,"1/64*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^8 + 8*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^7 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^8 + 4*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x)^6 + 4*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5 + 7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^6 - 8*(a^5 - 6*a^3*b^2 - 8*a^2*b^3 - 3*a*b^4)*x*cosh(x)^4 + 8*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + 3*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x))*sinh(x)^5 - a^5 - a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - a*b^4 - b^5 + 2*(35*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 30*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x)^2 - 4*(a^5 - 6*a^3*b^2 - 8*a^2*b^3 - 3*a*b^4)*x)*sinh(x)^4 + 8*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 10*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x)^3 - 4*(a^5 - 6*a^3*b^2 - 8*a^2*b^3 - 3*a*b^4)*x*cosh(x))*sinh(x)^3 + 4*(a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5)*cosh(x)^2 + 4*(7*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5 + 15*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x)^4 - 12*(a^5 - 6*a^3*b^2 - 8*a^2*b^3 - 3*a*b^4)*x*cosh(x)^2)*sinh(x)^2 - 64*(a^2*b^3*cosh(x)^4 + 4*a^2*b^3*cosh(x)^3*sinh(x) + 6*a^2*b^3*cosh(x)^2*sinh(x)^2 + 4*a^2*b^3*cosh(x)*sinh(x)^3 + a^2*b^3*sinh(x)^4)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 8*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^7 + 3*(a^4*b - 2*a^3*b^2 + 2*a*b^4 - b^5)*cosh(x)^5 - 4*(a^5 - 6*a^3*b^2 - 8*a^2*b^3 - 3*a*b^4)*x*cosh(x)^3 + (a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3*sinh(x) + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2*sinh(x)^2 + 4*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^4)","B",0
714,1,4935,0,0.667529," ","integrate(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{10} + 30 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + 3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7} - 27 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(9 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 3 \, a^{7} + 3 \, a^{6} b - 9 \, a^{5} b^{2} - 9 \, a^{4} b^{3} + 9 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 3 \, a b^{6} - 3 \, b^{7} - 30 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} - 10 \, {\left(3 \, a^{7} + 3 \, a^{6} b - 27 \, a^{5} b^{2} + 21 \, a^{4} b^{3} + 21 \, a^{3} b^{4} - 27 \, a^{2} b^{5} + 3 \, a b^{6} + 3 \, b^{7} - 63 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(189 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - 45 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 30 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(3 \, a^{7} - 3 \, a^{6} b - 27 \, a^{5} b^{2} - 21 \, a^{4} b^{3} + 21 \, a^{3} b^{4} + 27 \, a^{2} b^{5} + 3 \, a b^{6} - 3 \, b^{7} - 63 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 45 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(9 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 5 \, {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(27 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} - a^{7} - 3 \, a^{6} b - a^{5} b^{2} + 5 \, a^{4} b^{3} + 5 \, a^{3} b^{4} - a^{2} b^{5} - 3 \, a b^{6} - b^{7} - 28 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{6} - 90 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} - 36 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 480 \, {\left(a^{3} b^{3} \cosh\left(x\right)^{5} + 5 \, a^{3} b^{3} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, a^{3} b^{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, a^{3} b^{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, a^{3} b^{3} \cosh\left(x\right) \sinh\left(x\right)^{4} + a^{3} b^{3} \sinh\left(x\right)^{5}\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 10 \, {\left(3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{7} - 18 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 12 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{480 \, {\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)^{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)^{4} \sinh\left(x\right) + 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)^{3} \sinh\left(x\right)^{2} + 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)^{2} \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) \sinh\left(x\right)^{4} + {\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)^{5}\right)}}, \frac{3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{10} + 30 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + 3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7} - 27 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(9 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 3 \, a^{7} + 3 \, a^{6} b - 9 \, a^{5} b^{2} - 9 \, a^{4} b^{3} + 9 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 3 \, a b^{6} - 3 \, b^{7} - 30 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} - 10 \, {\left(3 \, a^{7} + 3 \, a^{6} b - 27 \, a^{5} b^{2} + 21 \, a^{4} b^{3} + 21 \, a^{3} b^{4} - 27 \, a^{2} b^{5} + 3 \, a b^{6} + 3 \, b^{7} - 63 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(189 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - 45 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 30 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(3 \, a^{7} - 3 \, a^{6} b - 27 \, a^{5} b^{2} - 21 \, a^{4} b^{3} + 21 \, a^{3} b^{4} + 27 \, a^{2} b^{5} + 3 \, a b^{6} - 3 \, b^{7} - 63 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 45 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(9 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 5 \, {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(27 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} - a^{7} - 3 \, a^{6} b - a^{5} b^{2} + 5 \, a^{4} b^{3} + 5 \, a^{3} b^{4} - a^{2} b^{5} - 3 \, a b^{6} - b^{7} - 28 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{6} - 90 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} - 36 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 960 \, {\left(a^{3} b^{3} \cosh\left(x\right)^{5} + 5 \, a^{3} b^{3} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, a^{3} b^{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, a^{3} b^{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, a^{3} b^{3} \cosh\left(x\right) \sinh\left(x\right)^{4} + a^{3} b^{3} \sinh\left(x\right)^{5}\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 10 \, {\left(3 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{7} - 18 \, {\left(a^{7} + a^{6} b - 9 \, a^{5} b^{2} + 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} - 9 \, a^{2} b^{5} + a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 12 \, {\left(a^{7} - a^{6} b - 9 \, a^{5} b^{2} - 7 \, a^{4} b^{3} + 7 \, a^{3} b^{4} + 9 \, a^{2} b^{5} + a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{480 \, {\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)^{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)^{4} \sinh\left(x\right) + 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)^{3} \sinh\left(x\right)^{2} + 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)^{2} \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) \sinh\left(x\right)^{4} + {\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)^{5}\right)}}\right]"," ",0,"[1/480*(3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^10 + 30*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^9 + 3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^10 - 5*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^8 - 5*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7 - 27*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^8 + 40*(9*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - (a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x))*sinh(x)^7 + 3*a^7 + 3*a^6*b - 9*a^5*b^2 - 9*a^4*b^3 + 9*a^3*b^4 + 9*a^2*b^5 - 3*a*b^6 - 3*b^7 - 30*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^6 - 10*(3*a^7 + 3*a^6*b - 27*a^5*b^2 + 21*a^4*b^3 + 21*a^3*b^4 - 27*a^2*b^5 + 3*a*b^6 + 3*b^7 - 63*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 + 14*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^2)*sinh(x)^6 + 4*(189*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 70*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^3 - 45*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x))*sinh(x)^5 - 30*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^4 - 10*(3*a^7 - 3*a^6*b - 27*a^5*b^2 - 21*a^4*b^3 + 21*a^3*b^4 + 27*a^2*b^5 + 3*a*b^6 - 3*b^7 - 63*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 + 35*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^4 + 45*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^2)*sinh(x)^4 + 40*(9*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 7*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^5 - 15*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^3 - 3*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x))*sinh(x)^3 - 5*(a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*cosh(x)^2 + 5*(27*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 - a^7 - 3*a^6*b - a^5*b^2 + 5*a^4*b^3 + 5*a^3*b^4 - a^2*b^5 - 3*a*b^6 - b^7 - 28*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^6 - 90*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^4 - 36*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^2)*sinh(x)^2 + 480*(a^3*b^3*cosh(x)^5 + 5*a^3*b^3*cosh(x)^4*sinh(x) + 10*a^3*b^3*cosh(x)^3*sinh(x)^2 + 10*a^3*b^3*cosh(x)^2*sinh(x)^3 + 5*a^3*b^3*cosh(x)*sinh(x)^4 + a^3*b^3*sinh(x)^5)*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 10*(3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^9 - 4*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^7 - 18*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^5 - 12*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^3 - (a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*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)^5 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4*sinh(x) + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3*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)^2*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)*sinh(x)^4 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*sinh(x)^5), 1/480*(3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^10 + 30*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^9 + 3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^10 - 5*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^8 - 5*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7 - 27*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^8 + 40*(9*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - (a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x))*sinh(x)^7 + 3*a^7 + 3*a^6*b - 9*a^5*b^2 - 9*a^4*b^3 + 9*a^3*b^4 + 9*a^2*b^5 - 3*a*b^6 - 3*b^7 - 30*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^6 - 10*(3*a^7 + 3*a^6*b - 27*a^5*b^2 + 21*a^4*b^3 + 21*a^3*b^4 - 27*a^2*b^5 + 3*a*b^6 + 3*b^7 - 63*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 + 14*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^2)*sinh(x)^6 + 4*(189*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 70*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^3 - 45*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x))*sinh(x)^5 - 30*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^4 - 10*(3*a^7 - 3*a^6*b - 27*a^5*b^2 - 21*a^4*b^3 + 21*a^3*b^4 + 27*a^2*b^5 + 3*a*b^6 - 3*b^7 - 63*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 + 35*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^4 + 45*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^2)*sinh(x)^4 + 40*(9*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 7*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^5 - 15*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^3 - 3*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x))*sinh(x)^3 - 5*(a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*cosh(x)^2 + 5*(27*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 - a^7 - 3*a^6*b - a^5*b^2 + 5*a^4*b^3 + 5*a^3*b^4 - a^2*b^5 - 3*a*b^6 - b^7 - 28*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^6 - 90*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^4 - 36*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^2)*sinh(x)^2 - 960*(a^3*b^3*cosh(x)^5 + 5*a^3*b^3*cosh(x)^4*sinh(x) + 10*a^3*b^3*cosh(x)^3*sinh(x)^2 + 10*a^3*b^3*cosh(x)^2*sinh(x)^3 + 5*a^3*b^3*cosh(x)*sinh(x)^4 + a^3*b^3*sinh(x)^5)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 10*(3*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^9 - 4*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^7 - 18*(a^7 + a^6*b - 9*a^5*b^2 + 7*a^4*b^3 + 7*a^3*b^4 - 9*a^2*b^5 + a*b^6 + b^7)*cosh(x)^5 - 12*(a^7 - a^6*b - 9*a^5*b^2 - 7*a^4*b^3 + 7*a^3*b^4 + 9*a^2*b^5 + a*b^6 - b^7)*cosh(x)^3 - (a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*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)^5 + 5*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^4*sinh(x) + 10*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*cosh(x)^3*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)^2*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)*sinh(x)^4 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*sinh(x)^5)]","B",0
715,1,376,0,0.607294," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","-\frac{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x \sinh\left(x\right)^{2} + 2 \, a^{2} b - 2 \, a b^{2} + {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} x - {\left(a^{3} - a^{2} b + a b^{2} - b^{3} + {\left(a^{3} + a^{2} b + a b^{2} + b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + a^{2} b + a b^{2} + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} + a^{2} b + a b^{2} + b^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5} + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{2}}"," ",0,"-((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)^2 + 2*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*cosh(x)*sinh(x) + (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x*sinh(x)^2 + 2*a^2*b - 2*a*b^2 + (a^3 + a^2*b - a*b^2 - b^3)*x - (a^3 - a^2*b + a*b^2 - b^3 + (a^3 + a^2*b + a*b^2 + b^3)*cosh(x)^2 + 2*(a^3 + a^2*b + a*b^2 + b^3)*cosh(x)*sinh(x) + (a^3 + a^2*b + a*b^2 + b^3)*sinh(x)^2)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*sinh(x)^2)","B",0
716,1,1819,0,0.552669," ","integrate(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5} - 3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left({\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \sinh\left(x\right)^{3} + {\left(a^{4} - a^{3} b + 2 \, a^{2} b^{2} - 2 \, a b^{3}\right)} \cosh\left(x\right) + {\left(a^{4} - a^{3} b + 2 \, a^{2} b^{2} - 2 \, a b^{3} + 3 \, {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) - 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, -\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} - {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5} - 3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 4 \, {\left({\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \sinh\left(x\right)^{3} + {\left(a^{4} - a^{3} b + 2 \, a^{2} b^{2} - 2 \, a b^{3}\right)} \cosh\left(x\right) + {\left(a^{4} - a^{3} b + 2 \, a^{2} b^{2} - 2 \, a b^{3} + 3 \, {\left(a^{4} + a^{3} b + 2 \, a^{2} b^{2} + 2 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) - 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} - {\left(5 \, a^{4} b - 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 2*(5*a^4*b - 4*a^2*b^3 - b^5)*cosh(x)^2 + 2*(5*a^4*b - 4*a^2*b^3 - b^5 - 3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 + 2*((a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)^3 + 3*(a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)*sinh(x)^2 + (a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*sinh(x)^3 + (a^4 - a^3*b + 2*a^2*b^2 - 2*a*b^3)*cosh(x) + (a^4 - a^3*b + 2*a^2*b^2 - 2*a*b^3 + 3*(a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) - 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - (5*a^4*b - 4*a^2*b^3 - b^5)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)), -1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 - (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 2*(5*a^4*b - 4*a^2*b^3 - b^5)*cosh(x)^2 + 2*(5*a^4*b - 4*a^2*b^3 - b^5 - 3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 4*((a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)^3 + 3*(a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)*sinh(x)^2 + (a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*sinh(x)^3 + (a^4 - a^3*b + 2*a^2*b^2 - 2*a*b^3)*cosh(x) + (a^4 - a^3*b + 2*a^2*b^2 - 2*a*b^3 + 3*(a^4 + a^3*b + 2*a^2*b^2 + 2*a*b^3)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) - 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 - (5*a^4*b - 4*a^2*b^3 - b^5)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x))]","B",0
717,1,1655,0,0.575937," ","integrate(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} x\right)} \cosh\left(x\right)^{4} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + 8 \, {\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{5} + 19 \, a^{4} b - 14 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 8 \, {\left(a^{5} + 2 \, a^{4} b - 2 \, a^{2} b^{3} - a b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + {\left(a^{5} + 19 \, a^{4} b - 14 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} x\right)} \cosh\left(x\right)^{2} + 8 \, {\left(a^{5} + 2 \, a^{4} b - 2 \, a^{2} b^{3} - a b^{4}\right)} x\right)} \sinh\left(x\right)^{2} - 8 \, {\left({\left(a^{5} + a^{4} b + 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + a^{4} b + 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + a^{4} b + 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3}\right)} \sinh\left(x\right)^{4} + {\left(a^{5} - a^{4} b + 3 \, a^{3} b^{2} - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + {\left(a^{5} - a^{4} b + 3 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 6 \, {\left(a^{5} + a^{4} b + 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{5} + a^{4} b + 3 \, a^{3} b^{2} + 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a^{4} b + 3 \, a^{3} b^{2} - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} x\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 19 \, a^{4} b - 14 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 8 \, {\left(a^{5} + 2 \, a^{4} b - 2 \, a^{2} b^{3} - a b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{4} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 6 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*x)*cosh(x)^4 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2 + 8*(a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*x)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*x)*cosh(x))*sinh(x)^3 + (a^5 + 19*a^4*b - 14*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5 + 8*(a^5 + 2*a^4*b - 2*a^2*b^3 - a*b^4)*x)*cosh(x)^2 + (a^5 + 19*a^4*b - 14*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5 + 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*x)*cosh(x)^2 + 8*(a^5 + 2*a^4*b - 2*a^2*b^3 - a*b^4)*x)*sinh(x)^2 - 8*((a^5 + a^4*b + 3*a^3*b^2 + 3*a^2*b^3)*cosh(x)^4 + 4*(a^5 + a^4*b + 3*a^3*b^2 + 3*a^2*b^3)*cosh(x)*sinh(x)^3 + (a^5 + a^4*b + 3*a^3*b^2 + 3*a^2*b^3)*sinh(x)^4 + (a^5 - a^4*b + 3*a^3*b^2 - 3*a^2*b^3)*cosh(x)^2 + (a^5 - a^4*b + 3*a^3*b^2 - 3*a^2*b^3 + 6*(a^5 + a^4*b + 3*a^3*b^2 + 3*a^2*b^3)*cosh(x)^2)*sinh(x)^2 + 2*(2*(a^5 + a^4*b + 3*a^3*b^2 + 3*a^2*b^3)*cosh(x)^3 + (a^5 - a^4*b + 3*a^3*b^2 - 3*a^2*b^3)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 2*(3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 2*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*x)*cosh(x)^3 + (a^5 + 19*a^4*b - 14*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5 + 8*(a^5 + 2*a^4*b - 2*a^2*b^3 - a*b^4)*x)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^4 + 4*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^3 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^4 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 6*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)^2 + 2*(2*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x))*sinh(x))","B",0
718,1,1805,0,0.467204," ","integrate(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4} + 3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 2 \, {\left({\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \sinh\left(x\right)^{3} + {\left(2 \, a^{3} b - 2 \, a^{2} b^{2} + a b^{3} - b^{4}\right)} \cosh\left(x\right) + {\left(2 \, a^{3} b - 2 \, a^{2} b^{2} + a b^{3} - b^{4} + 3 \, {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, \frac{a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4} + 3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 4 \, {\left({\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \sinh\left(x\right)^{3} + {\left(2 \, a^{3} b - 2 \, a^{2} b^{2} + a b^{3} - b^{4}\right)} \cosh\left(x\right) + {\left(2 \, a^{3} b - 2 \, a^{2} b^{2} + a b^{3} - b^{4} + 3 \, {\left(2 \, a^{3} b + 2 \, a^{2} b^{2} + a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 4 \, {\left({\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 4 \, a^{3} b^{2} - 5 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 3 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 2*(a^5 + 4*a^3*b^2 - 5*a*b^4)*cosh(x)^2 + 2*(a^5 + 4*a^3*b^2 - 5*a*b^4 + 3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 2*((2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)^3 + 3*(2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)*sinh(x)^2 + (2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*sinh(x)^3 + (2*a^3*b - 2*a^2*b^2 + a*b^3 - b^4)*cosh(x) + (2*a^3*b - 2*a^2*b^2 + a*b^3 - b^4 + 3*(2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + (a^5 + 4*a^3*b^2 - 5*a*b^4)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)), 1/2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 4*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^3 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^4 + 2*(a^5 + 4*a^3*b^2 - 5*a*b^4)*cosh(x)^2 + 2*(a^5 + 4*a^3*b^2 - 5*a*b^4 + 3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2)*sinh(x)^2 - 4*((2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)^3 + 3*(2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)*sinh(x)^2 + (2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*sinh(x)^3 + (2*a^3*b - 2*a^2*b^2 + a*b^3 - b^4)*cosh(x) + (2*a^3*b - 2*a^2*b^2 + a*b^3 - b^4 + 3*(2*a^3*b + 2*a^2*b^2 + a*b^3 + b^4)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 4*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + (a^5 + 4*a^3*b^2 - 5*a*b^4)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^2 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x) + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 3*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x))]","B",0
719,1,1726,0,0.549042," ","integrate(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} - a^{5} - a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - a b^{4} - b^{5} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{4} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{5} + 3 \, a^{4} b + 18 \, a^{3} b^{2} - 18 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 4 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)^{2} - {\left(a^{5} + 3 \, a^{4} b + 18 \, a^{3} b^{2} - 18 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} - 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \sinh\left(x\right)^{2} + 16 \, {\left({\left(a^{4} b + a^{3} b^{2} + a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} b + a^{3} b^{2} + a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} b + a^{3} b^{2} + a^{2} b^{3} + a b^{4}\right)} \sinh\left(x\right)^{4} + {\left(a^{4} b - a^{3} b^{2} + a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b - a^{3} b^{2} + a^{2} b^{3} - a b^{4} + 6 \, {\left(a^{4} b + a^{3} b^{2} + a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{4} b + a^{3} b^{2} + a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b - a^{3} b^{2} + a^{2} b^{3} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} - 4 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{3} - {\left(a^{5} + 3 \, a^{4} b + 18 \, a^{3} b^{2} - 18 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5} + 4 \, {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} - 3 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{4} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 6 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 - a^5 - a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - a*b^4 - b^5 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x)*cosh(x)^4 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2 - 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x)*cosh(x))*sinh(x)^3 - (a^5 + 3*a^4*b + 18*a^3*b^2 - 18*a^2*b^3 - 3*a*b^4 - b^5 + 4*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x)^2 - (a^5 + 3*a^4*b + 18*a^3*b^2 - 18*a^2*b^3 - 3*a*b^4 - b^5 - 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 - 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x)*cosh(x)^2 + 4*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*sinh(x)^2 + 16*((a^4*b + a^3*b^2 + a^2*b^3 + a*b^4)*cosh(x)^4 + 4*(a^4*b + a^3*b^2 + a^2*b^3 + a*b^4)*cosh(x)*sinh(x)^3 + (a^4*b + a^3*b^2 + a^2*b^3 + a*b^4)*sinh(x)^4 + (a^4*b - a^3*b^2 + a^2*b^3 - a*b^4)*cosh(x)^2 + (a^4*b - a^3*b^2 + a^2*b^3 - a*b^4 + 6*(a^4*b + a^3*b^2 + a^2*b^3 + a*b^4)*cosh(x)^2)*sinh(x)^2 + 2*(2*(a^4*b + a^3*b^2 + a^2*b^3 + a*b^4)*cosh(x)^3 + (a^4*b - a^3*b^2 + a^2*b^3 - a*b^4)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 2*(3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 2*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 - 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*x)*cosh(x)^3 - (a^5 + 3*a^4*b + 18*a^3*b^2 - 18*a^2*b^3 - 3*a*b^4 - b^5 + 4*(a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*x)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^4 + 4*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^3 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^4 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 6*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)^2 + 2*(2*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x))*sinh(x))","B",0
720,1,5061,0,0.627792," ","integrate(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{8} + a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7} - 2 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 6 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(9 \, a^{7} + 81 \, a^{5} b^{2} - 69 \, a^{3} b^{4} - 21 \, a b^{6} - 35 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 5 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left({\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{5} + {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4} + 10 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 4 \, {\left(2 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{3} - {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \sinh\left(x\right)^{5} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{3} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9} + 10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, \frac{{\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{8} + a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7} - 2 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 6 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{4} - 2 \, {\left(9 \, a^{7} + 81 \, a^{5} b^{2} - 69 \, a^{3} b^{4} - 21 \, a b^{6} - 35 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 5 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 48 \, {\left({\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{5} + {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4} + 10 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(2 \, a^{5} b + 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{5} b - 2 \, a^{4} b^{2} + 3 \, a^{3} b^{3} - 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 4 \, {\left(2 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(4 \, a^{7} - 9 \, a^{6} b - 2 \, a^{5} b^{2} + 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} - 7 \, a^{2} b^{5} + 6 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(3 \, a^{7} + 27 \, a^{5} b^{2} - 23 \, a^{3} b^{4} - 7 \, a b^{6}\right)} \cosh\left(x\right)^{3} - {\left(4 \, a^{7} + 9 \, a^{6} b - 2 \, a^{5} b^{2} - 17 \, a^{4} b^{3} - 8 \, a^{3} b^{4} + 7 \, a^{2} b^{5} + 6 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \sinh\left(x\right)^{5} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{3} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9} + 10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/24*((a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 + 8*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^7 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^8 + a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7 - 2*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^6 - 2*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^6 + 4*(14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - 3*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x))*sinh(x)^5 - 6*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^4 - 2*(9*a^7 + 81*a^5*b^2 - 69*a^3*b^4 - 21*a*b^6 - 35*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 + 15*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 5*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^3 - 3*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x))*sinh(x)^3 - 2*(4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7)*cosh(x)^2 - 2*(4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 + 15*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^4 + 18*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^2)*sinh(x)^2 + 24*((2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^5 + 5*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)*sinh(x)^4 + (2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*sinh(x)^5 + (2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x)^3 + (2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4 + 10*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^3 + (10*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^3 + 3*(2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x))*sinh(x)^2 + (5*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^4 + 3*(2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 - 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 4*(2*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 3*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^5 - 6*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^3 - (4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7)*cosh(x))*sinh(x))/((a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^5 + 5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)*sinh(x)^4 + (a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*sinh(x)^5 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^3 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9 + 10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^2)*sinh(x)^3 + (10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^3 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x))*sinh(x)^2 + (5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^4 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^2)*sinh(x)), 1/24*((a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 + 8*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^7 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^8 + a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7 - 2*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^6 - 2*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^6 + 4*(14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - 3*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x))*sinh(x)^5 - 6*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^4 - 2*(9*a^7 + 81*a^5*b^2 - 69*a^3*b^4 - 21*a*b^6 - 35*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 + 15*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 5*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^3 - 3*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x))*sinh(x)^3 - 2*(4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7)*cosh(x)^2 - 2*(4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 + 15*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^4 + 18*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^2)*sinh(x)^2 + 48*((2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^5 + 5*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)*sinh(x)^4 + (2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*sinh(x)^5 + (2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x)^3 + (2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4 + 10*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^3 + (10*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^3 + 3*(2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x))*sinh(x)^2 + (5*(2*a^5*b + 2*a^4*b^2 + 3*a^3*b^3 + 3*a^2*b^4)*cosh(x)^4 + 3*(2*a^5*b - 2*a^4*b^2 + 3*a^3*b^3 - 3*a^2*b^4)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 4*(2*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 3*(4*a^7 - 9*a^6*b - 2*a^5*b^2 + 17*a^4*b^3 - 8*a^3*b^4 - 7*a^2*b^5 + 6*a*b^6 - b^7)*cosh(x)^5 - 6*(3*a^7 + 27*a^5*b^2 - 23*a^3*b^4 - 7*a*b^6)*cosh(x)^3 - (4*a^7 + 9*a^6*b - 2*a^5*b^2 - 17*a^4*b^3 - 8*a^3*b^4 + 7*a^2*b^5 + 6*a*b^6 + b^7)*cosh(x))*sinh(x))/((a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^5 + 5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)*sinh(x)^4 + (a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*sinh(x)^5 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^3 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9 + 10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^2)*sinh(x)^3 + (10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^3 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x))*sinh(x)^2 + (5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^4 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^2)*sinh(x))]","B",0
721,1,1661,0,0.518915," ","integrate(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \sinh\left(x\right)^{6} + a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 4 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{4} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + 8 \, {\left(a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 4 \, a b^{4} + b^{5}\right)} x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 4 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} + 14 \, a^{2} b^{3} - 19 \, a b^{4} - b^{5} + 8 \, {\left(a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} + 14 \, a^{2} b^{3} - 19 \, a b^{4} - b^{5} + 15 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 4 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 8 \, {\left(a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5}\right)} x\right)} \sinh\left(x\right)^{2} - 8 \, {\left({\left(3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \sinh\left(x\right)^{4} + {\left(3 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + a b^{4} - b^{5} + 6 \, {\left(3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(3 \, a^{3} b^{2} + 3 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(3 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - 3 \, a^{4} b + 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 3 \, a b^{4} + b^{5} + 8 \, {\left(a^{4} b + 4 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 4 \, a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 3 \, a^{4} b + 2 \, a^{3} b^{2} + 14 \, a^{2} b^{3} - 19 \, a b^{4} - b^{5} + 8 \, {\left(a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} - b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \sinh\left(x\right)^{4} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7} + 6 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/8*((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^6 + 6*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)*sinh(x)^5 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*sinh(x)^6 + a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 4*a*b^4 + b^5)*x)*cosh(x)^4 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2 + 8*(a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 4*a*b^4 + b^5)*x)*sinh(x)^4 + 4*(5*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^3 + (a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 4*a*b^4 + b^5)*x)*cosh(x))*sinh(x)^3 + (a^5 + 3*a^4*b + 2*a^3*b^2 + 14*a^2*b^3 - 19*a*b^4 - b^5 + 8*(a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5)*x)*cosh(x)^2 + (a^5 + 3*a^4*b + 2*a^3*b^2 + 14*a^2*b^3 - 19*a*b^4 - b^5 + 15*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^4 + 6*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 4*a*b^4 + b^5)*x)*cosh(x)^2 + 8*(a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5)*x)*sinh(x)^2 - 8*((3*a^3*b^2 + 3*a^2*b^3 + a*b^4 + b^5)*cosh(x)^4 + 4*(3*a^3*b^2 + 3*a^2*b^3 + a*b^4 + b^5)*cosh(x)*sinh(x)^3 + (3*a^3*b^2 + 3*a^2*b^3 + a*b^4 + b^5)*sinh(x)^4 + (3*a^3*b^2 - 3*a^2*b^3 + a*b^4 - b^5)*cosh(x)^2 + (3*a^3*b^2 - 3*a^2*b^3 + a*b^4 - b^5 + 6*(3*a^3*b^2 + 3*a^2*b^3 + a*b^4 + b^5)*cosh(x)^2)*sinh(x)^2 + 2*(2*(3*a^3*b^2 + 3*a^2*b^3 + a*b^4 + b^5)*cosh(x)^3 + (3*a^3*b^2 - 3*a^2*b^3 + a*b^4 - b^5)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 2*(3*(a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*cosh(x)^5 + 2*(a^5 - 3*a^4*b + 2*a^3*b^2 + 2*a^2*b^3 - 3*a*b^4 + b^5 + 8*(a^4*b + 4*a^3*b^2 + 6*a^2*b^3 + 4*a*b^4 + b^5)*x)*cosh(x)^3 + (a^5 + 3*a^4*b + 2*a^3*b^2 + 14*a^2*b^3 - 19*a*b^4 - b^5 + 8*(a^4*b + 2*a^3*b^2 - 2*a*b^4 - b^5)*x)*cosh(x))*sinh(x))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^4 + 4*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)*sinh(x)^3 + (a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*sinh(x)^4 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7 + 6*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^2)*sinh(x)^2 + 2*(2*(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*cosh(x)^3 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x))*sinh(x))","B",0
722,1,5031,0,0.693148," ","integrate(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{{\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{8} - a^{7} - a^{6} b + 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} - 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} + a b^{6} + b^{7} - 2 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(21 \, a^{6} b + 69 \, a^{4} b^{3} - 81 \, a^{2} b^{5} - 9 \, b^{7} + 35 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 5 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7} + 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left({\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \sinh\left(x\right)^{5} + {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5} + 10 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - a + b}{{\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b}\right) + 4 \, {\left(2 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \sinh\left(x\right)^{5} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{3} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9} + 10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}, \frac{{\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{8} - a^{7} - a^{6} b + 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} - 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} + a b^{6} + b^{7} - 2 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{6} - 2 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7} - 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(21 \, a^{6} b + 69 \, a^{4} b^{3} - 81 \, a^{2} b^{5} - 9 \, b^{7} + 35 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 5 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7} + 14 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 48 \, {\left({\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \sinh\left(x\right)^{5} + {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5} + 10 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(3 \, a^{4} b^{2} + 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{4} b^{2} - 3 \, a^{3} b^{3} + 2 \, a^{2} b^{4} - 2 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \arctan\left(\frac{\sqrt{a^{2} - b^{2}}}{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)}\right) + 4 \, {\left(2 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{7} - 6 \, a^{6} b + 7 \, a^{5} b^{2} + 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} + 2 \, a^{2} b^{5} + 9 \, a b^{6} - 4 \, b^{7}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(7 \, a^{6} b + 23 \, a^{4} b^{3} - 27 \, a^{2} b^{5} - 3 \, b^{7}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} + 6 \, a^{6} b + 7 \, a^{5} b^{2} - 8 \, a^{4} b^{3} - 17 \, a^{3} b^{4} - 2 \, a^{2} b^{5} + 9 \, a b^{6} + 4 \, b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \sinh\left(x\right)^{5} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{3} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9} + 10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + {\left(10 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/24*((a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 + 8*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^7 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^8 - a^7 - a^6*b + 3*a^5*b^2 + 3*a^4*b^3 - 3*a^3*b^4 - 3*a^2*b^5 + a*b^6 + b^7 - 2*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^6 - 2*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^6 + 4*(14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - 3*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x))*sinh(x)^5 + 6*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^4 + 2*(21*a^6*b + 69*a^4*b^3 - 81*a^2*b^5 - 9*b^7 + 35*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 - 15*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 5*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^3 + 3*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x))*sinh(x)^3 + 2*(a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7)*cosh(x)^2 + 2*(a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7 + 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 - 15*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^4 + 18*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^2)*sinh(x)^2 + 24*((3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^5 + 5*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)*sinh(x)^4 + (3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*sinh(x)^5 + (3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x)^3 + (3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5 + 10*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^2)*sinh(x)^3 + (10*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^3 + 3*(3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x))*sinh(x)^2 + (5*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^4 + 3*(3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x)^2)*sinh(x))*sqrt(-a^2 + b^2)*log(((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + 2*sqrt(-a^2 + b^2)*(cosh(x) + sinh(x)) - a + b)/((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)) + 4*(2*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 3*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^5 + 6*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^3 + (a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7)*cosh(x))*sinh(x))/((a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^5 + 5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)*sinh(x)^4 + (a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*sinh(x)^5 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^3 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9 + 10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^2)*sinh(x)^3 + (10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^3 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x))*sinh(x)^2 + (5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^4 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^2)*sinh(x)), 1/24*((a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 + 8*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^7 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^8 - a^7 - a^6*b + 3*a^5*b^2 + 3*a^4*b^3 - 3*a^3*b^4 - 3*a^2*b^5 + a*b^6 + b^7 - 2*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^6 - 2*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7 - 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^6 + 4*(14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - 3*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x))*sinh(x)^5 + 6*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^4 + 2*(21*a^6*b + 69*a^4*b^3 - 81*a^2*b^5 - 9*b^7 + 35*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 - 15*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 5*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^3 + 3*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x))*sinh(x)^3 + 2*(a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7)*cosh(x)^2 + 2*(a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7 + 14*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 - 15*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^4 + 18*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^2)*sinh(x)^2 - 48*((3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^5 + 5*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)*sinh(x)^4 + (3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*sinh(x)^5 + (3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x)^3 + (3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5 + 10*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^2)*sinh(x)^3 + (10*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^3 + 3*(3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x))*sinh(x)^2 + (5*(3*a^4*b^2 + 3*a^3*b^3 + 2*a^2*b^4 + 2*a*b^5)*cosh(x)^4 + 3*(3*a^4*b^2 - 3*a^3*b^3 + 2*a^2*b^4 - 2*a*b^5)*cosh(x)^2)*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 4*(2*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 3*(a^7 - 6*a^6*b + 7*a^5*b^2 + 8*a^4*b^3 - 17*a^3*b^4 + 2*a^2*b^5 + 9*a*b^6 - 4*b^7)*cosh(x)^5 + 6*(7*a^6*b + 23*a^4*b^3 - 27*a^2*b^5 - 3*b^7)*cosh(x)^3 + (a^7 + 6*a^6*b + 7*a^5*b^2 - 8*a^4*b^3 - 17*a^3*b^4 - 2*a^2*b^5 + 9*a*b^6 + 4*b^7)*cosh(x))*sinh(x))/((a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^5 + 5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)*sinh(x)^4 + (a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*sinh(x)^5 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^3 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9 + 10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^2)*sinh(x)^3 + (10*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^3 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x))*sinh(x)^2 + (5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^4 + 3*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^2)*sinh(x))]","B",0
723,1,4001,0,0.603411," ","integrate(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""fricas"")","\frac{{\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \sinh\left(x\right)^{10} - 3 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{8} - 3 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7} - 15 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 24 \, {\left(5 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7} - 4 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{6} - 2 \, {\left(2 \, a^{7} - 10 \, a^{6} b + 18 \, a^{5} b^{2} - 10 \, a^{4} b^{3} - 10 \, a^{3} b^{4} + 18 \, a^{2} b^{5} - 10 \, a b^{6} + 2 \, b^{7} - 105 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{4} + 42 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{2} + 24 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \sinh\left(x\right)^{6} + 12 \, {\left(21 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{5} - 14 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 4 \, {\left(a^{7} + 5 \, a^{6} b + 9 \, a^{5} b^{2} + 37 \, a^{4} b^{3} - 37 \, a^{3} b^{4} - 9 \, a^{2} b^{5} - 5 \, a b^{6} - b^{7} + 12 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 2 \, a^{4} b^{3} - 2 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6}\right)} x\right)} \cosh\left(x\right)^{4} - 2 \, {\left(2 \, a^{7} + 10 \, a^{6} b + 18 \, a^{5} b^{2} + 74 \, a^{4} b^{3} - 74 \, a^{3} b^{4} - 18 \, a^{2} b^{5} - 10 \, a b^{6} - 2 \, b^{7} - 105 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{6} + 105 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 24 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 2 \, a^{4} b^{3} - 2 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6}\right)} x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(15 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{7} - 21 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} - 2 \, {\left(a^{7} + 5 \, a^{6} b + 9 \, a^{5} b^{2} + 37 \, a^{4} b^{3} - 37 \, a^{3} b^{4} - 9 \, a^{2} b^{5} - 5 \, a b^{6} - b^{7} + 12 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 2 \, a^{4} b^{3} - 2 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(15 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{8} - a^{7} - 3 \, a^{6} b - a^{5} b^{2} + 5 \, a^{4} b^{3} + 5 \, a^{3} b^{4} - a^{2} b^{5} - 3 \, a b^{6} - b^{7} - 28 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{6} - 20 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{4} - 8 \, {\left(a^{7} + 5 \, a^{6} b + 9 \, a^{5} b^{2} + 37 \, a^{4} b^{3} - 37 \, a^{3} b^{4} - 9 \, a^{2} b^{5} - 5 \, a b^{6} - b^{7} + 12 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 2 \, a^{4} b^{3} - 2 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6}\right)} x\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 192 \, {\left({\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \sinh\left(x\right)^{6} + {\left(a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - a^{2} b^{5}\right)} \cosh\left(x\right)^{4} + {\left(a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - a^{2} b^{5} + 15 \, {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - a^{2} b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - a^{2} b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - a^{2} b^{5}\right)} \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(5 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} \cosh\left(x\right)^{9} - 12 \, {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} \cosh\left(x\right)^{7} - 12 \, {\left(a^{7} - 5 \, a^{6} b + 9 \, a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + 9 \, a^{2} b^{5} - 5 \, a b^{6} + b^{7} + 12 \, {\left(a^{6} b + 5 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 10 \, a^{3} b^{4} + 5 \, a^{2} b^{5} + a b^{6}\right)} x\right)} \cosh\left(x\right)^{5} - 8 \, {\left(a^{7} + 5 \, a^{6} b + 9 \, a^{5} b^{2} + 37 \, a^{4} b^{3} - 37 \, a^{3} b^{4} - 9 \, a^{2} b^{5} - 5 \, a b^{6} - b^{7} + 12 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 2 \, a^{4} b^{3} - 2 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6}\right)} x\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{7} + 3 \, a^{6} b + a^{5} b^{2} - 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} + a^{2} b^{5} + 3 \, a b^{6} + b^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{64 \, {\left({\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \sinh\left(x\right)^{6} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{4} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9} + 15 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{3} + {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{9} + a^{8} b - 4 \, a^{7} b^{2} - 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} + 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} - 4 \, a^{2} b^{7} + a b^{8} + b^{9}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{9} - a^{8} b - 4 \, a^{7} b^{2} + 4 \, a^{6} b^{3} + 6 \, a^{5} b^{4} - 6 \, a^{4} b^{5} - 4 \, a^{3} b^{6} + 4 \, a^{2} b^{7} + a b^{8} - b^{9}\right)} \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/64*((a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^10 + 10*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)*sinh(x)^9 + (a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*sinh(x)^10 - 3*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^8 - 3*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7 - 15*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^2)*sinh(x)^8 + 24*(5*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^3 - (a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x))*sinh(x)^7 + a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7 - 4*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x)^6 - 2*(2*a^7 - 10*a^6*b + 18*a^5*b^2 - 10*a^4*b^3 - 10*a^3*b^4 + 18*a^2*b^5 - 10*a*b^6 + 2*b^7 - 105*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^4 + 42*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^2 + 24*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*sinh(x)^6 + 12*(21*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^5 - 14*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^3 - 2*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x))*sinh(x)^5 - 4*(a^7 + 5*a^6*b + 9*a^5*b^2 + 37*a^4*b^3 - 37*a^3*b^4 - 9*a^2*b^5 - 5*a*b^6 - b^7 + 12*(a^6*b + 3*a^5*b^2 + 2*a^4*b^3 - 2*a^3*b^4 - 3*a^2*b^5 - a*b^6)*x)*cosh(x)^4 - 2*(2*a^7 + 10*a^6*b + 18*a^5*b^2 + 74*a^4*b^3 - 74*a^3*b^4 - 18*a^2*b^5 - 10*a*b^6 - 2*b^7 - 105*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^6 + 105*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^4 + 30*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x)^2 + 24*(a^6*b + 3*a^5*b^2 + 2*a^4*b^3 - 2*a^3*b^4 - 3*a^2*b^5 - a*b^6)*x)*sinh(x)^4 + 8*(15*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^7 - 21*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^5 - 10*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x)^3 - 2*(a^7 + 5*a^6*b + 9*a^5*b^2 + 37*a^4*b^3 - 37*a^3*b^4 - 9*a^2*b^5 - 5*a*b^6 - b^7 + 12*(a^6*b + 3*a^5*b^2 + 2*a^4*b^3 - 2*a^3*b^4 - 3*a^2*b^5 - a*b^6)*x)*cosh(x))*sinh(x)^3 - 3*(a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*cosh(x)^2 + 3*(15*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^8 - a^7 - 3*a^6*b - a^5*b^2 + 5*a^4*b^3 + 5*a^3*b^4 - a^2*b^5 - 3*a*b^6 - b^7 - 28*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^6 - 20*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x)^4 - 8*(a^7 + 5*a^6*b + 9*a^5*b^2 + 37*a^4*b^3 - 37*a^3*b^4 - 9*a^2*b^5 - 5*a*b^6 - b^7 + 12*(a^6*b + 3*a^5*b^2 + 2*a^4*b^3 - 2*a^3*b^4 - 3*a^2*b^5 - a*b^6)*x)*cosh(x)^2)*sinh(x)^2 + 192*((a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)^6 + 6*(a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)*sinh(x)^5 + (a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*sinh(x)^6 + (a^5*b^2 - a^4*b^3 + a^3*b^4 - a^2*b^5)*cosh(x)^4 + (a^5*b^2 - a^4*b^3 + a^3*b^4 - a^2*b^5 + 15*(a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)^3 + (a^5*b^2 - a^4*b^3 + a^3*b^4 - a^2*b^5)*cosh(x))*sinh(x)^3 + 3*(5*(a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)^4 + 2*(a^5*b^2 - a^4*b^3 + a^3*b^4 - a^2*b^5)*cosh(x)^2)*sinh(x)^2 + 2*(3*(a^5*b^2 + a^4*b^3 + a^3*b^4 + a^2*b^5)*cosh(x)^5 + 2*(a^5*b^2 - a^4*b^3 + a^3*b^4 - a^2*b^5)*cosh(x)^3)*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 2*(5*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*cosh(x)^9 - 12*(a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*cosh(x)^7 - 12*(a^7 - 5*a^6*b + 9*a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + 9*a^2*b^5 - 5*a*b^6 + b^7 + 12*(a^6*b + 5*a^5*b^2 + 10*a^4*b^3 + 10*a^3*b^4 + 5*a^2*b^5 + a*b^6)*x)*cosh(x)^5 - 8*(a^7 + 5*a^6*b + 9*a^5*b^2 + 37*a^4*b^3 - 37*a^3*b^4 - 9*a^2*b^5 - 5*a*b^6 - b^7 + 12*(a^6*b + 3*a^5*b^2 + 2*a^4*b^3 - 2*a^3*b^4 - 3*a^2*b^5 - a*b^6)*x)*cosh(x)^3 - 3*(a^7 + 3*a^6*b + a^5*b^2 - 5*a^4*b^3 - 5*a^3*b^4 + a^2*b^5 + 3*a*b^6 + b^7)*cosh(x))*sinh(x))/((a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^6 + 6*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)*sinh(x)^5 + (a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*sinh(x)^6 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^4 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9 + 15*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^3 + (a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x))*sinh(x)^3 + 3*(5*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^4 + 2*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^2)*sinh(x)^2 + 2*(3*(a^9 + a^8*b - 4*a^7*b^2 - 4*a^6*b^3 + 6*a^5*b^4 + 6*a^4*b^5 - 4*a^3*b^6 - 4*a^2*b^7 + a*b^8 + b^9)*cosh(x)^5 + 2*(a^9 - a^8*b - 4*a^7*b^2 + 4*a^6*b^3 + 6*a^5*b^4 - 6*a^4*b^5 - 4*a^3*b^6 + 4*a^2*b^7 + a*b^8 - b^9)*cosh(x)^3)*sinh(x))","B",0
724,1,233,0,0.532640," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[\frac{C b \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \sqrt{-b^{2} + c^{2}} A \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) - {\left(C b + C c\right)} x}{b^{2} - c^{2}}, \frac{C b \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, \sqrt{b^{2} - c^{2}} A \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) - {\left(C b + C c\right)} x}{b^{2} - c^{2}}\right]"," ",0,"[(C*b*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) - sqrt(-b^2 + c^2)*A*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) - (C*b + C*c)*x)/(b^2 - c^2), (C*b*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) - 2*sqrt(b^2 - c^2)*A*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) - (C*b + C*c)*x)/(b^2 - c^2)]","A",0
725,1,679,0,0.496274," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, A b^{3} - 2 \, A b^{2} c - 2 \, A b c^{2} + 2 \, A c^{3} - {\left(C b c - C c^{2} + {\left(C b c + C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(C b c + C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(C b c + C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) + 2 \, {\left(C b^{3} - C b c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(C b^{3} - C b c^{2}\right)} \sinh\left(x\right)}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - {\left(C b c - C c^{2} + {\left(C b c + C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(C b c + C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(C b c + C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) + {\left(C b^{3} - C b c^{2}\right)} \cosh\left(x\right) + {\left(C b^{3} - C b c^{2}\right)} \sinh\left(x\right)\right)}}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-(2*A*b^3 - 2*A*b^2*c - 2*A*b*c^2 + 2*A*c^3 - (C*b*c - C*c^2 + (C*b*c + C*c^2)*cosh(x)^2 + 2*(C*b*c + C*c^2)*cosh(x)*sinh(x) + (C*b*c + C*c^2)*sinh(x)^2)*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) + 2*(C*b^3 - C*b*c^2)*cosh(x) + 2*(C*b^3 - C*b*c^2)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2), -2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - (C*b*c - C*c^2 + (C*b*c + C*c^2)*cosh(x)^2 + 2*(C*b*c + C*c^2)*cosh(x)*sinh(x) + (C*b*c + C*c^2)*sinh(x)^2)*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) + (C*b^3 - C*b*c^2)*cosh(x) + (C*b^3 - C*b*c^2)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2)]","B",0
726,1,1855,0,0.556794," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[\frac{4 \, C b^{2} c - 8 \, C b c^{2} + 4 \, C c^{3} + 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(C b^{3} - C b^{2} c - C b c^{2} + C c^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, C b^{3} - 2 \, C b^{2} c - 2 \, C b c^{2} + 2 \, C c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) - 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) - 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(C b^{3} - C b^{2} c - C b c^{2} + C c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{2 \, C b^{2} c - 4 \, C b c^{2} + 2 \, C c^{3} + {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} + {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} - 2 \, {\left(C b^{3} - C b^{2} c - C b c^{2} + C c^{3}\right)} \cosh\left(x\right)^{2} - {\left(2 \, C b^{3} - 2 \, C b^{2} c - 2 \, C b c^{2} + 2 \, C c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) - {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) - {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(C b^{3} - C b^{2} c - C b c^{2} + C c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[1/2*(4*C*b^2*c - 8*C*b*c^2 + 4*C*c^3 + 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 + 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 - 4*(C*b^3 - C*b^2*c - C*b*c^2 + C*c^3)*cosh(x)^2 - 2*(2*C*b^3 - 2*C*b^2*c - 2*C*b*c^2 + 2*C*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 + ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) - 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) - 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*(C*b^3 - C*b^2*c - C*b*c^2 + C*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x)), (2*C*b^2*c - 4*C*b*c^2 + 2*C*c^3 + (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 + (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 - 2*(C*b^3 - C*b^2*c - C*b*c^2 + C*c^3)*cosh(x)^2 - (2*C*b^3 - 2*C*b^2*c - 2*C*b*c^2 + 2*C*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 - ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) - (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) - (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*(C*b^3 - C*b^2*c - C*b*c^2 + C*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x))]","B",0
727,1,234,0,0.515457," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{B c \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \sqrt{-b^{2} + c^{2}} A \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) - {\left(B b + B c\right)} x}{b^{2} - c^{2}}, -\frac{B c \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, \sqrt{b^{2} - c^{2}} A \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) - {\left(B b + B c\right)} x}{b^{2} - c^{2}}\right]"," ",0,"[-(B*c*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) + sqrt(-b^2 + c^2)*A*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) - (B*b + B*c)*x)/(b^2 - c^2), -(B*c*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) + 2*sqrt(b^2 - c^2)*A*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) - (B*b + B*c)*x)/(b^2 - c^2)]","A",0
728,1,680,0,0.525545," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, A b^{3} - 2 \, A b^{2} c - 2 \, A b c^{2} + 2 \, A c^{3} - {\left(B b^{2} - B b c + {\left(B b^{2} + B b c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + B b c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + B b c\right)} \sinh\left(x\right)^{2}\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) - 2 \, {\left(B b^{2} c - B c^{3}\right)} \cosh\left(x\right) - 2 \, {\left(B b^{2} c - B c^{3}\right)} \sinh\left(x\right)}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} + {\left(B b^{2} - B b c + {\left(B b^{2} + B b c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + B b c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + B b c\right)} \sinh\left(x\right)^{2}\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) - {\left(B b^{2} c - B c^{3}\right)} \cosh\left(x\right) - {\left(B b^{2} c - B c^{3}\right)} \sinh\left(x\right)\right)}}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-(2*A*b^3 - 2*A*b^2*c - 2*A*b*c^2 + 2*A*c^3 - (B*b^2 - B*b*c + (B*b^2 + B*b*c)*cosh(x)^2 + 2*(B*b^2 + B*b*c)*cosh(x)*sinh(x) + (B*b^2 + B*b*c)*sinh(x)^2)*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) - 2*(B*b^2*c - B*c^3)*cosh(x) - 2*(B*b^2*c - B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2), -2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 + (B*b^2 - B*b*c + (B*b^2 + B*b*c)*cosh(x)^2 + 2*(B*b^2 + B*b*c)*cosh(x)*sinh(x) + (B*b^2 + B*b*c)*sinh(x)^2)*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) - (B*b^2*c - B*c^3)*cosh(x) - (B*b^2*c - B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2)]","B",0
729,1,1855,0,0.518837," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[-\frac{4 \, B b^{3} - 8 \, B b^{2} c + 4 \, B b c^{2} - 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} + 4 \, {\left(B b^{3} - B b^{2} c - B b c^{2} + B c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B b^{3} - 2 \, B b^{2} c - 2 \, B b c^{2} + 2 \, B c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) + 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) + 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(B b^{3} - B b^{2} c - B b c^{2} + B c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{2 \, B b^{3} - 4 \, B b^{2} c + 2 \, B b c^{2} - {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} - {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(B b^{3} - B b^{2} c - B b c^{2} + B c^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, B b^{3} - 2 \, B b^{2} c - 2 \, B b c^{2} + 2 \, B c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) + {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) + {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(B b^{3} - B b^{2} c - B b c^{2} + B c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-1/2*(4*B*b^3 - 8*B*b^2*c + 4*B*b*c^2 - 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 - 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 + 4*(B*b^3 - B*b^2*c - B*b*c^2 + B*c^3)*cosh(x)^2 + 2*(2*B*b^3 - 2*B*b^2*c - 2*B*b*c^2 + 2*B*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 - ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) + 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) + 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*(B*b^3 - B*b^2*c - B*b*c^2 + B*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x)), -(2*B*b^3 - 4*B*b^2*c + 2*B*b*c^2 - (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 - (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 + 2*(B*b^3 - B*b^2*c - B*b*c^2 + B*c^3)*cosh(x)^2 + (2*B*b^3 - 2*B*b^2*c - 2*B*b*c^2 + 2*B*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 + ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) + (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) + (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*(B*b^3 - B*b^2*c - B*b*c^2 + B*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x))]","B",0
730,1,16,0,0.526040," ","integrate((cosh(x)+sinh(x))/(cosh(x)-sinh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right) + \sinh\left(x\right)}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"1/2*(cosh(x) + sinh(x))/(cosh(x) - sinh(x))","A",0
731,1,19,0,0.434241," ","integrate((cosh(x)-sinh(x))/(cosh(x)+sinh(x)),x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"-1/2/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
732,1,13,0,0.492010," ","integrate((cosh(x)-I*sinh(x))/(cosh(x)+I*sinh(x)),x, algorithm=""fricas"")","i \, x - i \, \log\left(e^{\left(2 \, x\right)} - i\right)"," ",0,"I*x - I*log(e^(2*x) - I)","A",0
733,1,60,0,0.525901," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\frac{{\left({\left(B - C\right)} b + {\left(B - C\right)} c\right)} x + {\left(C b - B c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b^{2} - c^{2}}"," ",0,"(((B - C)*b + (B - C)*c)*x + (C*b - B*c)*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))))/(b^2 - c^2)","A",0
734,1,749,0,0.537757," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{{\left(B b^{2} - {\left(B + C\right)} b c + C c^{2} + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) + 2 \, {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \cosh\left(x\right) + 2 \, {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \sinh\left(x\right)}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left({\left(B b^{2} - {\left(B + C\right)} b c + C c^{2} + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) + {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \cosh\left(x\right) + {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \sinh\left(x\right)\right)}}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-((B*b^2 - (B + C)*b*c + C*c^2 + (B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)^2 + 2*(B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)*sinh(x) + (B*b^2 + (B - C)*b*c - C*c^2)*sinh(x)^2)*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) + 2*(C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*cosh(x) + 2*(C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2), -2*((B*b^2 - (B + C)*b*c + C*c^2 + (B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)^2 + 2*(B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)*sinh(x) + (B*b^2 + (B - C)*b*c - C*c^2)*sinh(x)^2)*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) + (C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*cosh(x) + (C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2)]","B",0
735,1,232,0,0.505534," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left({\left({\left(2 \, B + C\right)} b + B c\right)} \cosh\left(x\right) + {\left(C b + {\left(B + 2 \, C\right)} c\right)} \sinh\left(x\right)\right)}}{{\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{3} + {\left(3 \, b^{4} + 4 \, b^{3} c - 2 \, b^{2} c^{2} - 4 \, b c^{3} - c^{4}\right)} \cosh\left(x\right) + {\left(b^{4} + 4 \, b^{3} c + 2 \, b^{2} c^{2} - 4 \, b c^{3} - 3 \, c^{4} + 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}"," ",0,"-2*(((2*B + C)*b + B*c)*cosh(x) + (C*b + (B + 2*C)*c)*sinh(x))/((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 + 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^2 + (b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^3 + (3*b^4 + 4*b^3*c - 2*b^2*c^2 - 4*b*c^3 - c^4)*cosh(x) + (b^4 + 4*b^3*c + 2*b^2*c^2 - 4*b*c^3 - 3*c^4 + 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x))","B",0
736,1,264,0,0.534187," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b^{2} + c^{2}} A \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) - {\left({\left(B - C\right)} b + {\left(B - C\right)} c\right)} x - {\left(C b - B c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b^{2} - c^{2}}, -\frac{2 \, \sqrt{b^{2} - c^{2}} A \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) - {\left({\left(B - C\right)} b + {\left(B - C\right)} c\right)} x - {\left(C b - B c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b^{2} - c^{2}}\right]"," ",0,"[-(sqrt(-b^2 + c^2)*A*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) - ((B - C)*b + (B - C)*c)*x - (C*b - B*c)*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))))/(b^2 - c^2), -(2*sqrt(b^2 - c^2)*A*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) - ((B - C)*b + (B - C)*c)*x - (C*b - B*c)*log(2*(b*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))))/(b^2 - c^2)]","A",0
737,1,799,0,0.531275," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, A b^{3} - 2 \, A b^{2} c - 2 \, A b c^{2} + 2 \, A c^{3} + {\left(B b^{2} - {\left(B + C\right)} b c + C c^{2} + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) + 2 \, {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \cosh\left(x\right) + 2 \, {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \sinh\left(x\right)}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}, -\frac{2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} + {\left(B b^{2} - {\left(B + C\right)} b c + C c^{2} + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(B b^{2} + {\left(B - C\right)} b c - C c^{2}\right)} \sinh\left(x\right)^{2}\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) + {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \cosh\left(x\right) + {\left(C b^{3} - B b^{2} c - C b c^{2} + B c^{3}\right)} \sinh\left(x\right)\right)}}{b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \sinh\left(x\right)^{2}}\right]"," ",0,"[-(2*A*b^3 - 2*A*b^2*c - 2*A*b*c^2 + 2*A*c^3 + (B*b^2 - (B + C)*b*c + C*c^2 + (B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)^2 + 2*(B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)*sinh(x) + (B*b^2 + (B - C)*b*c - C*c^2)*sinh(x)^2)*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) + 2*(C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*cosh(x) + 2*(C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2), -2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 + (B*b^2 - (B + C)*b*c + C*c^2 + (B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)^2 + 2*(B*b^2 + (B - C)*b*c - C*c^2)*cosh(x)*sinh(x) + (B*b^2 + (B - C)*b*c - C*c^2)*sinh(x)^2)*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) + (C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*cosh(x) + (C*b^3 - B*b^2*c - C*b*c^2 + B*c^3)*sinh(x))/(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2 + 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)*sinh(x) + (b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*sinh(x)^2)]","B",0
738,1,1931,0,0.522546," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[-\frac{4 \, B b^{3} - 4 \, {\left(2 \, B + C\right)} b^{2} c + 4 \, {\left(B + 2 \, C\right)} b c^{2} - 4 \, C c^{3} - 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} + 4 \, {\left({\left(B + C\right)} b^{3} - {\left(B + C\right)} b^{2} c - {\left(B + C\right)} b c^{2} + {\left(B + C\right)} c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} b^{3} - 2 \, {\left(B + C\right)} b^{2} c - 2 \, {\left(B + C\right)} b c^{2} + 2 \, {\left(B + C\right)} c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{-b^{2} + c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + b - c}\right) + 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) + 2 \, {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left({\left(B + C\right)} b^{3} - {\left(B + C\right)} b^{2} c - {\left(B + C\right)} b c^{2} + {\left(B + C\right)} c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{2 \, B b^{3} - 2 \, {\left(2 \, B + C\right)} b^{2} c + 2 \, {\left(B + 2 \, C\right)} b c^{2} - 2 \, C c^{3} - {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{3} - {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \sinh\left(x\right)^{3} + 2 \, {\left({\left(B + C\right)} b^{3} - {\left(B + C\right)} b^{2} c - {\left(B + C\right)} b c^{2} + {\left(B + C\right)} c^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, {\left(B + C\right)} b^{3} - 2 \, {\left(B + C\right)} b^{2} c - 2 \, {\left(B + C\right)} b c^{2} + 2 \, {\left(B + C\right)} c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \sinh\left(x\right)^{4} + A b^{2} - 2 \, A b c + A c^{2} + 2 \, {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(A b^{2} - A c^{2} + 3 \, {\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(A b^{2} + 2 \, A b c + A c^{2}\right)} \cosh\left(x\right)^{3} + {\left(A b^{2} - A c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}} \arctan\left(\frac{\sqrt{b^{2} - c^{2}}}{{\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)}\right) + {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3}\right)} \cosh\left(x\right) + {\left(A b^{3} - A b^{2} c - A b c^{2} + A c^{3} - 3 \, {\left(A b^{3} + A b^{2} c - A b c^{2} - A c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left({\left(B + C\right)} b^{3} - {\left(B + C\right)} b^{2} c - {\left(B + C\right)} b c^{2} + {\left(B + C\right)} c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{b^{6} - 2 \, b^{5} c - b^{4} c^{2} + 4 \, b^{3} c^{3} - b^{2} c^{4} - 2 \, b c^{5} + c^{6} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6} + 3 \, {\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{6} + 2 \, b^{5} c - b^{4} c^{2} - 4 \, b^{3} c^{3} - b^{2} c^{4} + 2 \, b c^{5} + c^{6}\right)} \cosh\left(x\right)^{3} + {\left(b^{6} - 3 \, b^{4} c^{2} + 3 \, b^{2} c^{4} - c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-1/2*(4*B*b^3 - 4*(2*B + C)*b^2*c + 4*(B + 2*C)*b*c^2 - 4*C*c^3 - 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 - 2*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 + 4*((B + C)*b^3 - (B + C)*b^2*c - (B + C)*b*c^2 + (B + C)*c^3)*cosh(x)^2 + 2*(2*(B + C)*b^3 - 2*(B + C)*b^2*c - 2*(B + C)*b*c^2 + 2*(B + C)*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 - ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(-b^2 + c^2)*log(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(-b^2 + c^2)*(cosh(x) + sinh(x)) - b + c)/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + b - c)) + 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) + 2*(A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*((B + C)*b^3 - (B + C)*b^2*c - (B + C)*b*c^2 + (B + C)*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x)), -(2*B*b^3 - 2*(2*B + C)*b^2*c + 2*(B + 2*C)*b*c^2 - 2*C*c^3 - (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^3 - (A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*sinh(x)^3 + 2*((B + C)*b^3 - (B + C)*b^2*c - (B + C)*b*c^2 + (B + C)*c^3)*cosh(x)^2 + (2*(B + C)*b^3 - 2*(B + C)*b^2*c - 2*(B + C)*b*c^2 + 2*(B + C)*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x))*sinh(x)^2 + ((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^4 + 4*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)*sinh(x)^3 + (A*b^2 + 2*A*b*c + A*c^2)*sinh(x)^4 + A*b^2 - 2*A*b*c + A*c^2 + 2*(A*b^2 - A*c^2)*cosh(x)^2 + 2*(A*b^2 - A*c^2 + 3*(A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^2)*sinh(x)^2 + 4*((A*b^2 + 2*A*b*c + A*c^2)*cosh(x)^3 + (A*b^2 - A*c^2)*cosh(x))*sinh(x))*sqrt(b^2 - c^2)*arctan(sqrt(b^2 - c^2)/((b + c)*cosh(x) + (b + c)*sinh(x))) + (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3)*cosh(x) + (A*b^3 - A*b^2*c - A*b*c^2 + A*c^3 - 3*(A*b^3 + A*b^2*c - A*b*c^2 - A*c^3)*cosh(x)^2 + 4*((B + C)*b^3 - (B + C)*b^2*c - (B + C)*b*c^2 + (B + C)*c^3)*cosh(x))*sinh(x))/(b^6 - 2*b^5*c - b^4*c^2 + 4*b^3*c^3 - b^2*c^4 - 2*b*c^5 + c^6 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^4 + 4*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)*sinh(x)^3 + (b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*sinh(x)^4 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x)^2 + 2*(b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6 + 3*(b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^2)*sinh(x)^2 + 4*((b^6 + 2*b^5*c - b^4*c^2 - 4*b^3*c^3 - b^2*c^4 + 2*b*c^5 + c^6)*cosh(x)^3 + (b^6 - 3*b^4*c^2 + 3*b^2*c^4 - c^6)*cosh(x))*sinh(x))]","B",0
739,1,160,0,0.495593," ","integrate((a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\frac{3}{2} \, a b c \cosh\left(x\right)^{2} + \frac{1}{12} \, {\left(3 \, b^{2} c + c^{3}\right)} \cosh\left(x\right)^{3} + \frac{1}{12} \, {\left(b^{3} + 3 \, b c^{2}\right)} \sinh\left(x\right)^{3} + \frac{1}{4} \, {\left(6 \, a b c + {\left(3 \, b^{2} c + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + \frac{1}{2} \, {\left(2 \, a^{3} + 3 \, a b^{2} - 3 \, a c^{2}\right)} x - \frac{3}{4} \, {\left(c^{3} - {\left(4 \, a^{2} + b^{2}\right)} c\right)} \cosh\left(x\right) + \frac{1}{4} \, {\left(12 \, a^{2} b + 3 \, b^{3} - 3 \, b c^{2} + {\left(b^{3} + 3 \, b c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a b^{2} + a c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"3/2*a*b*c*cosh(x)^2 + 1/12*(3*b^2*c + c^3)*cosh(x)^3 + 1/12*(b^3 + 3*b*c^2)*sinh(x)^3 + 1/4*(6*a*b*c + (3*b^2*c + c^3)*cosh(x))*sinh(x)^2 + 1/2*(2*a^3 + 3*a*b^2 - 3*a*c^2)*x - 3/4*(c^3 - (4*a^2 + b^2)*c)*cosh(x) + 1/4*(12*a^2*b + 3*b^3 - 3*b*c^2 + (b^3 + 3*b*c^2)*cosh(x)^2 + 6*(a*b^2 + a*c^2)*cosh(x))*sinh(x)","A",0
740,1,59,0,0.488235," ","integrate((a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{2} \, b c \cosh\left(x\right)^{2} + \frac{1}{2} \, b c \sinh\left(x\right)^{2} + 2 \, a c \cosh\left(x\right) + \frac{1}{2} \, {\left(2 \, a^{2} + b^{2} - c^{2}\right)} x + \frac{1}{2} \, {\left(4 \, a b + {\left(b^{2} + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"1/2*b*c*cosh(x)^2 + 1/2*b*c*sinh(x)^2 + 2*a*c*cosh(x) + 1/2*(2*a^2 + b^2 - c^2)*x + 1/2*(4*a*b + (b^2 + c^2)*cosh(x))*sinh(x)","A",0
741,1,12,0,0.530116," ","integrate(a+b*cosh(x)+c*sinh(x),x, algorithm=""fricas"")","a x + c \cosh\left(x\right) + b \sinh\left(x\right)"," ",0,"a*x + c*cosh(x) + b*sinh(x)","A",0
742,1,248,0,0.474327," ","integrate(1/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right)}{\sqrt{a^{2} - b^{2} + c^{2}}}, \frac{2 \, \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right)}{a^{2} - b^{2} + c^{2}}\right]"," ",0,"[log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c))/sqrt(a^2 - b^2 + c^2), 2*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2))/(a^2 - b^2 + c^2)]","A",0
743,1,1268,0,0.472662," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{2 \, a^{2} b - 2 \, b^{3} + 2 \, b c^{2} - 2 \, c^{3} + {\left(2 \, a^{2} \cosh\left(x\right) + {\left(a b + a c\right)} \cosh\left(x\right)^{2} + {\left(a b + a c\right)} \sinh\left(x\right)^{2} + a b - a c + 2 \, {\left(a^{2} + {\left(a b + a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left(a^{2} - b^{2}\right)} c + 2 \, {\left(a^{3} - a b^{2} + a c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} - a b^{2} + a c^{2}\right)} \sinh\left(x\right)}{a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \sinh\left(x\right)^{2} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4} + a c^{4} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4} + a c^{4} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, \frac{2 \, {\left(a^{2} b - b^{3} + b c^{2} - c^{3} + {\left(2 \, a^{2} \cosh\left(x\right) + {\left(a b + a c\right)} \cosh\left(x\right)^{2} + {\left(a b + a c\right)} \sinh\left(x\right)^{2} + a b - a c + 2 \, {\left(a^{2} + {\left(a b + a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(a^{2} - b^{2}\right)} c + {\left(a^{3} - a b^{2} + a c^{2}\right)} \cosh\left(x\right) + {\left(a^{3} - a b^{2} + a c^{2}\right)} \sinh\left(x\right)\right)}}{a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \sinh\left(x\right)^{2} - {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4} + a c^{4} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4} + a c^{4} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{2} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + b c^{4} + c^{5} + 2 \, {\left(a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(a^{2} b - b^{3}\right)} c^{2} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[(2*a^2*b - 2*b^3 + 2*b*c^2 - 2*c^3 + (2*a^2*cosh(x) + (a*b + a*c)*cosh(x)^2 + (a*b + a*c)*sinh(x)^2 + a*b - a*c + 2*(a^2 + (a*b + a*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*(a^2 - b^2)*c + 2*(a^3 - a*b^2 + a*c^2)*cosh(x) + 2*(a^3 - a*b^2 + a*c^2)*sinh(x))/(a^4*b - 2*a^2*b^3 + b^5 + b*c^4 - c^5 - 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*cosh(x)^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*sinh(x)^2 - (a^4 - 2*a^2*b^2 + b^4)*c + 2*(a^5 - 2*a^3*b^2 + a*b^4 + a*c^4 + 2*(a^3 - a*b^2)*c^2)*cosh(x) + 2*(a^5 - 2*a^3*b^2 + a*b^4 + a*c^4 + 2*(a^3 - a*b^2)*c^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*cosh(x))*sinh(x)), 2*(a^2*b - b^3 + b*c^2 - c^3 + (2*a^2*cosh(x) + (a*b + a*c)*cosh(x)^2 + (a*b + a*c)*sinh(x)^2 + a*b - a*c + 2*(a^2 + (a*b + a*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (a^2 - b^2)*c + (a^3 - a*b^2 + a*c^2)*cosh(x) + (a^3 - a*b^2 + a*c^2)*sinh(x))/(a^4*b - 2*a^2*b^3 + b^5 + b*c^4 - c^5 - 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*cosh(x)^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*sinh(x)^2 - (a^4 - 2*a^2*b^2 + b^4)*c + 2*(a^5 - 2*a^3*b^2 + a*b^4 + a*c^4 + 2*(a^3 - a*b^2)*c^2)*cosh(x) + 2*(a^5 - 2*a^3*b^2 + a*b^4 + a*c^4 + 2*(a^3 - a*b^2)*c^2 + (a^4*b - 2*a^2*b^3 + b^5 + b*c^4 + c^5 + 2*(a^2 - b^2)*c^3 + 2*(a^2*b - b^3)*c^2 + (a^4 - 2*a^2*b^2 + b^4)*c)*cosh(x))*sinh(x))]","B",0
744,1,7379,0,0.595767," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[\frac{6 \, a^{3} b^{2} - 6 \, a b^{4} + 6 \, a^{3} c^{2} - 12 \, a b c^{3} + 6 \, a c^{4} + 2 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \sinh\left(x\right)^{3} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left({\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \sinh\left(x\right)^{4} + 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} + 2 \, b c^{3} - c^{4} + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2} + 3 \, {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} + a c^{3} - {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} + a c^{3} + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{3} + a b^{2}\right)} c + {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 12 \, {\left(a^{3} b - a b^{3}\right)} c + 2 \, {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - {\left(11 \, a^{2} - 2 \, b^{2}\right)} c^{3} + {\left(11 \, a^{2} b - 2 \, b^{3}\right)} c^{2} - {\left(10 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - {\left(11 \, a^{2} - 2 \, b^{2}\right)} c^{3} + {\left(11 \, a^{2} b - 2 \, b^{3}\right)} c^{2} + 3 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(10 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} - 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} - 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \sinh\left(x\right)^{4} - 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} - a c^{7} - 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} - 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} - {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} - a c^{7} - 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} - 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + 3 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{3 \, a^{3} b^{2} - 3 \, a b^{4} + 3 \, a^{3} c^{2} - 6 \, a b c^{3} + 3 \, a c^{4} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)^{3} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \sinh\left(x\right)^{3} + 3 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2} + {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \sinh\left(x\right)^{4} + 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} + 2 \, b c^{3} - c^{4} + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2} + 3 \, {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} + a c^{3} - {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} + a c^{3} + {\left(2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b c^{3} - c^{4} + 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} b + a b^{3} - a b c^{2} - a c^{3} + {\left(2 \, a^{3} + a b^{2}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{3} + a b^{2}\right)} c + {\left(4 \, a^{4} + 4 \, a^{2} b^{2} + b^{4} + c^{4} - 2 \, {\left(2 \, a^{2} + b^{2}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - 6 \, {\left(a^{3} b - a b^{3}\right)} c + {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - {\left(11 \, a^{2} - 2 \, b^{2}\right)} c^{3} + {\left(11 \, a^{2} b - 2 \, b^{3}\right)} c^{2} - {\left(10 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c\right)} \cosh\left(x\right) + {\left(10 \, a^{4} b - 11 \, a^{2} b^{3} + b^{5} + b c^{4} - c^{5} - {\left(11 \, a^{2} - 2 \, b^{2}\right)} c^{3} + {\left(11 \, a^{2} b - 2 \, b^{3}\right)} c^{2} + 3 \, {\left(2 \, a^{4} b - a^{2} b^{3} - b^{5} - b c^{4} - c^{5} + {\left(a^{2} + 2 \, b^{2}\right)} c^{3} + {\left(a^{2} b + 2 \, b^{3}\right)} c^{2} + {\left(2 \, a^{4} - a^{2} b^{2} - b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(10 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c + 6 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4} - a c^{4} + {\left(a^{3} + 2 \, a b^{2}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} - 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} - 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \sinh\left(x\right)^{4} - 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} - a c^{7} - 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} - 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} - {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} - a c^{7} - 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} - 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8} + 2 \, b c^{7} + c^{8} + {\left(3 \, a^{2} - 2 \, b^{2}\right)} c^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} c^{5} + 3 \, {\left(a^{4} - a^{2} b^{2}\right)} c^{4} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c^{3} + {\left(a^{6} - 3 \, a^{2} b^{4} + 2 \, b^{6}\right)} c^{2} + 2 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + 3 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7} + a b c^{6} + a c^{7} + 3 \, {\left(a^{3} - a b^{2}\right)} c^{5} + 3 \, {\left(a^{3} b - a b^{3}\right)} c^{4} + 3 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c^{3} + 3 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{2} + {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}\right)} c + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8} - c^{8} - {\left(a^{2} - 4 \, b^{2}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[1/2*(6*a^3*b^2 - 6*a*b^4 + 6*a^3*c^2 - 12*a*b*c^3 + 6*a*c^4 + 2*(2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x)^3 + 2*(2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*sinh(x)^3 + 6*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2)*cosh(x)^2 + 6*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2 + (2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x))*sinh(x)^2 - ((2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^4 + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*sinh(x)^4 + 2*a^2*b^2 + b^4 + 2*a^2*c^2 + 2*b*c^3 - c^4 + 4*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x)^3 + 4*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x))*sinh(x)^3 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2)*cosh(x)^2 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2 + 3*(2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^2 + 6*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x))*sinh(x)^2 - 2*(2*a^2*b + b^3)*c + 4*(2*a^3*b + a*b^3 - a*b*c^2 + a*c^3 - (2*a^3 + a*b^2)*c)*cosh(x) + 4*(2*a^3*b + a*b^3 - a*b*c^2 + a*c^3 + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^3 + 3*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x)^2 - (2*a^3 + a*b^2)*c + (4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 12*(a^3*b - a*b^3)*c + 2*(10*a^4*b - 11*a^2*b^3 + b^5 + b*c^4 - c^5 - (11*a^2 - 2*b^2)*c^3 + (11*a^2*b - 2*b^3)*c^2 - (10*a^4 - 11*a^2*b^2 + b^4)*c)*cosh(x) + 2*(10*a^4*b - 11*a^2*b^3 + b^5 + b*c^4 - c^5 - (11*a^2 - 2*b^2)*c^3 + (11*a^2*b - 2*b^3)*c^2 + 3*(2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x)^2 - (10*a^4 - 11*a^2*b^2 + b^4)*c + 6*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2)*cosh(x))*sinh(x))/(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 - 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 - 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*sinh(x)^4 - 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x)^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x))*sinh(x)^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2)*cosh(x)^2 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^2 + 6*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x))*sinh(x)^2 - 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 - a*c^7 - 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 - 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 - (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x) + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 - a*c^7 - 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 - 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + 3*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x)^2 - (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2)*cosh(x))*sinh(x)), (3*a^3*b^2 - 3*a*b^4 + 3*a^3*c^2 - 6*a*b*c^3 + 3*a*c^4 + (2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x)^3 + (2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*sinh(x)^3 + 3*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2)*cosh(x)^2 + 3*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2 + (2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x))*sinh(x)^2 + ((2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^4 + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*sinh(x)^4 + 2*a^2*b^2 + b^4 + 2*a^2*c^2 + 2*b*c^3 - c^4 + 4*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x)^3 + 4*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x))*sinh(x)^3 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2)*cosh(x)^2 + 2*(4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2 + 3*(2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^2 + 6*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x))*sinh(x)^2 - 2*(2*a^2*b + b^3)*c + 4*(2*a^3*b + a*b^3 - a*b*c^2 + a*c^3 - (2*a^3 + a*b^2)*c)*cosh(x) + 4*(2*a^3*b + a*b^3 - a*b*c^2 + a*c^3 + (2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b*c^3 - c^4 + 2*(2*a^2*b + b^3)*c)*cosh(x)^3 + 3*(2*a^3*b + a*b^3 - a*b*c^2 - a*c^3 + (2*a^3 + a*b^2)*c)*cosh(x)^2 - (2*a^3 + a*b^2)*c + (4*a^4 + 4*a^2*b^2 + b^4 + c^4 - 2*(2*a^2 + b^2)*c^2)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - 6*(a^3*b - a*b^3)*c + (10*a^4*b - 11*a^2*b^3 + b^5 + b*c^4 - c^5 - (11*a^2 - 2*b^2)*c^3 + (11*a^2*b - 2*b^3)*c^2 - (10*a^4 - 11*a^2*b^2 + b^4)*c)*cosh(x) + (10*a^4*b - 11*a^2*b^3 + b^5 + b*c^4 - c^5 - (11*a^2 - 2*b^2)*c^3 + (11*a^2*b - 2*b^3)*c^2 + 3*(2*a^4*b - a^2*b^3 - b^5 - b*c^4 - c^5 + (a^2 + 2*b^2)*c^3 + (a^2*b + 2*b^3)*c^2 + (2*a^4 - a^2*b^2 - b^4)*c)*cosh(x)^2 - (10*a^4 - 11*a^2*b^2 + b^4)*c + 6*(2*a^5 - a^3*b^2 - a*b^4 - a*c^4 + (a^3 + 2*a*b^2)*c^2)*cosh(x))*sinh(x))/(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 - 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 - 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^4 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*sinh(x)^4 - 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x)^3 + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x))*sinh(x)^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2)*cosh(x)^2 + 2*(2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^2 + 6*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x))*sinh(x)^2 - 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 - a*c^7 - 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 - 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 - (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x) + 4*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 - a*c^7 - 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 - 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8 + 2*b*c^7 + c^8 + (3*a^2 - 2*b^2)*c^6 + 6*(a^2*b - b^3)*c^5 + 3*(a^4 - a^2*b^2)*c^4 + 6*(a^4*b - 2*a^2*b^3 + b^5)*c^3 + (a^6 - 3*a^2*b^4 + 2*b^6)*c^2 + 2*(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*c)*cosh(x)^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + 3*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7 + a*b*c^6 + a*c^7 + 3*(a^3 - a*b^2)*c^5 + 3*(a^3*b - a*b^3)*c^4 + 3*(a^5 - 2*a^3*b^2 + a*b^4)*c^3 + 3*(a^5*b - 2*a^3*b^3 + a*b^5)*c^2 + (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c)*cosh(x)^2 - (a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6)*c + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8 - c^8 - (a^2 - 4*b^2)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^2)*cosh(x))*sinh(x))]","B",0
745,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
746,1,144,0,0.441877," ","integrate((a+a*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\frac{3}{2} \, a^{2} c \cosh\left(x\right)^{2} + \frac{1}{12} \, {\left(3 \, a^{2} c + c^{3}\right)} \cosh\left(x\right)^{3} + \frac{1}{12} \, {\left(a^{3} + 3 \, a c^{2}\right)} \sinh\left(x\right)^{3} + \frac{1}{4} \, {\left(6 \, a^{2} c + {\left(3 \, a^{2} c + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + \frac{1}{2} \, {\left(5 \, a^{3} - 3 \, a c^{2}\right)} x + \frac{3}{4} \, {\left(5 \, a^{2} c - c^{3}\right)} \cosh\left(x\right) + \frac{1}{4} \, {\left(15 \, a^{3} - 3 \, a c^{2} + {\left(a^{3} + 3 \, a c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{3} + a c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"3/2*a^2*c*cosh(x)^2 + 1/12*(3*a^2*c + c^3)*cosh(x)^3 + 1/12*(a^3 + 3*a*c^2)*sinh(x)^3 + 1/4*(6*a^2*c + (3*a^2*c + c^3)*cosh(x))*sinh(x)^2 + 1/2*(5*a^3 - 3*a*c^2)*x + 3/4*(5*a^2*c - c^3)*cosh(x) + 1/4*(15*a^3 - 3*a*c^2 + (a^3 + 3*a*c^2)*cosh(x)^2 + 6*(a^3 + a*c^2)*cosh(x))*sinh(x)","A",0
747,1,57,0,0.417195," ","integrate((a+a*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\frac{1}{2} \, a c \cosh\left(x\right)^{2} + \frac{1}{2} \, a c \sinh\left(x\right)^{2} + 2 \, a c \cosh\left(x\right) + \frac{1}{2} \, {\left(3 \, a^{2} - c^{2}\right)} x + \frac{1}{2} \, {\left(4 \, a^{2} + {\left(a^{2} + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)"," ",0,"1/2*a*c*cosh(x)^2 + 1/2*a*c*sinh(x)^2 + 2*a*c*cosh(x) + 1/2*(3*a^2 - c^2)*x + 1/2*(4*a^2 + (a^2 + c^2)*cosh(x))*sinh(x)","A",0
748,1,12,0,0.439993," ","integrate(a+a*cosh(x)+c*sinh(x),x, algorithm=""fricas"")","a x + c \cosh\left(x\right) + a \sinh\left(x\right)"," ",0,"a*x + c*cosh(x) + a*sinh(x)","A",0
749,1,32,0,0.397522," ","integrate(1/(a+a*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\frac{\log\left({\left(a + c\right)} \cosh\left(x\right) + {\left(a + c\right)} \sinh\left(x\right) + a - c\right) - \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)}{c}"," ",0,"(log((a + c)*cosh(x) + (a + c)*sinh(x) + a - c) - log(cosh(x) + sinh(x) + 1))/c","B",0
750,1,236,0,0.444157," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\frac{2 \, a c \cosh\left(x\right) + 2 \, a c \sinh\left(x\right) + 2 \, a c - 2 \, c^{2} + {\left(2 \, a^{2} \cosh\left(x\right) + {\left(a^{2} + a c\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + a c\right)} \sinh\left(x\right)^{2} + a^{2} - a c + 2 \, {\left(a^{2} + {\left(a^{2} + a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left({\left(a + c\right)} \cosh\left(x\right) + {\left(a + c\right)} \sinh\left(x\right) + a - c\right) - {\left(2 \, a^{2} \cosh\left(x\right) + {\left(a^{2} + a c\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + a c\right)} \sinh\left(x\right)^{2} + a^{2} - a c + 2 \, {\left(a^{2} + {\left(a^{2} + a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right)}{2 \, a c^{3} \cosh\left(x\right) + a c^{3} - c^{4} + {\left(a c^{3} + c^{4}\right)} \cosh\left(x\right)^{2} + {\left(a c^{3} + c^{4}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a c^{3} + {\left(a c^{3} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(2*a*c*cosh(x) + 2*a*c*sinh(x) + 2*a*c - 2*c^2 + (2*a^2*cosh(x) + (a^2 + a*c)*cosh(x)^2 + (a^2 + a*c)*sinh(x)^2 + a^2 - a*c + 2*(a^2 + (a^2 + a*c)*cosh(x))*sinh(x))*log((a + c)*cosh(x) + (a + c)*sinh(x) + a - c) - (2*a^2*cosh(x) + (a^2 + a*c)*cosh(x)^2 + (a^2 + a*c)*sinh(x)^2 + a^2 - a*c + 2*(a^2 + (a^2 + a*c)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1))/(2*a*c^3*cosh(x) + a*c^3 - c^4 + (a*c^3 + c^4)*cosh(x)^2 + (a*c^3 + c^4)*sinh(x)^2 + 2*(a*c^3 + (a*c^3 + c^4)*cosh(x))*sinh(x))","B",0
751,1,1504,0,0.445537," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\frac{6 \, a^{3} c - 12 \, a^{2} c^{2} + 6 \, a c^{3} + 2 \, {\left(3 \, a^{3} c + 3 \, a^{2} c^{2} - a c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{3} c + 3 \, a^{2} c^{2} - a c^{3} - c^{4}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(3 \, a^{3} c - a c^{3}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{3} c - a c^{3} + {\left(3 \, a^{3} c + 3 \, a^{2} c^{2} - a c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, {\left(9 \, a^{3} c - 9 \, a^{2} c^{2} + a c^{3} - c^{4}\right)} \cosh\left(x\right) + {\left({\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 6 \, a^{3} c + 2 \, a^{2} c^{2} + 2 \, a c^{3} - c^{4} + 4 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{4} + 3 \, {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(3 \, a^{4} - 3 \, a^{3} c - a^{2} c^{2} + a c^{3}\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{4} - 3 \, a^{3} c - a^{2} c^{2} + a c^{3} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)^{2} + {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left({\left(a + c\right)} \cosh\left(x\right) + {\left(a + c\right)} \sinh\left(x\right) + a - c\right) - {\left({\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 6 \, a^{3} c + 2 \, a^{2} c^{2} + 2 \, a c^{3} - c^{4} + 4 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{4} + 3 \, {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(3 \, a^{4} - 3 \, a^{3} c - a^{2} c^{2} + a c^{3}\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{4} - 3 \, a^{3} c - a^{2} c^{2} + a c^{3} + {\left(3 \, a^{4} + 6 \, a^{3} c + 2 \, a^{2} c^{2} - 2 \, a c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} + 3 \, a^{3} c - a^{2} c^{2} - a c^{3}\right)} \cosh\left(x\right)^{2} + {\left(9 \, a^{4} - 6 \, a^{2} c^{2} + c^{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(9 \, a^{3} c - 9 \, a^{2} c^{2} + a c^{3} - c^{4} + 3 \, {\left(3 \, a^{3} c + 3 \, a^{2} c^{2} - a c^{3} - c^{4}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, a^{3} c - a c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{2} c^{5} - 2 \, a c^{6} + c^{7} + {\left(a^{2} c^{5} + 2 \, a c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} + {\left(a^{2} c^{5} + 2 \, a c^{6} + c^{7}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{2} c^{5} + a c^{6}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{2} c^{5} + a c^{6} + {\left(a^{2} c^{5} + 2 \, a c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, a^{2} c^{5} - c^{7}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} c^{5} - c^{7} + 3 \, {\left(a^{2} c^{5} + 2 \, a c^{6} + c^{7}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{2} c^{5} + a c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{2} c^{5} - a c^{6}\right)} \cosh\left(x\right) + 4 \, {\left(a^{2} c^{5} - a c^{6} + {\left(a^{2} c^{5} + 2 \, a c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} c^{5} + a c^{6}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a^{2} c^{5} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(6*a^3*c - 12*a^2*c^2 + 6*a*c^3 + 2*(3*a^3*c + 3*a^2*c^2 - a*c^3 - c^4)*cosh(x)^3 + 2*(3*a^3*c + 3*a^2*c^2 - a*c^3 - c^4)*sinh(x)^3 + 6*(3*a^3*c - a*c^3)*cosh(x)^2 + 6*(3*a^3*c - a*c^3 + (3*a^3*c + 3*a^2*c^2 - a*c^3 - c^4)*cosh(x))*sinh(x)^2 + 2*(9*a^3*c - 9*a^2*c^2 + a*c^3 - c^4)*cosh(x) + ((3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^4 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*sinh(x)^4 + 3*a^4 - 6*a^3*c + 2*a^2*c^2 + 2*a*c^3 - c^4 + 4*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x)^3 + 4*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x))*sinh(x)^3 + 2*(9*a^4 - 6*a^2*c^2 + c^4)*cosh(x)^2 + 2*(9*a^4 - 6*a^2*c^2 + c^4 + 3*(3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^2 + 6*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x))*sinh(x)^2 + 4*(3*a^4 - 3*a^3*c - a^2*c^2 + a*c^3)*cosh(x) + 4*(3*a^4 - 3*a^3*c - a^2*c^2 + a*c^3 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^3 + 3*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x)^2 + (9*a^4 - 6*a^2*c^2 + c^4)*cosh(x))*sinh(x))*log((a + c)*cosh(x) + (a + c)*sinh(x) + a - c) - ((3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^4 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*sinh(x)^4 + 3*a^4 - 6*a^3*c + 2*a^2*c^2 + 2*a*c^3 - c^4 + 4*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x)^3 + 4*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x))*sinh(x)^3 + 2*(9*a^4 - 6*a^2*c^2 + c^4)*cosh(x)^2 + 2*(9*a^4 - 6*a^2*c^2 + c^4 + 3*(3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^2 + 6*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x))*sinh(x)^2 + 4*(3*a^4 - 3*a^3*c - a^2*c^2 + a*c^3)*cosh(x) + 4*(3*a^4 - 3*a^3*c - a^2*c^2 + a*c^3 + (3*a^4 + 6*a^3*c + 2*a^2*c^2 - 2*a*c^3 - c^4)*cosh(x)^3 + 3*(3*a^4 + 3*a^3*c - a^2*c^2 - a*c^3)*cosh(x)^2 + (9*a^4 - 6*a^2*c^2 + c^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 2*(9*a^3*c - 9*a^2*c^2 + a*c^3 - c^4 + 3*(3*a^3*c + 3*a^2*c^2 - a*c^3 - c^4)*cosh(x)^2 + 6*(3*a^3*c - a*c^3)*cosh(x))*sinh(x))/(a^2*c^5 - 2*a*c^6 + c^7 + (a^2*c^5 + 2*a*c^6 + c^7)*cosh(x)^4 + (a^2*c^5 + 2*a*c^6 + c^7)*sinh(x)^4 + 4*(a^2*c^5 + a*c^6)*cosh(x)^3 + 4*(a^2*c^5 + a*c^6 + (a^2*c^5 + 2*a*c^6 + c^7)*cosh(x))*sinh(x)^3 + 2*(3*a^2*c^5 - c^7)*cosh(x)^2 + 2*(3*a^2*c^5 - c^7 + 3*(a^2*c^5 + 2*a*c^6 + c^7)*cosh(x)^2 + 6*(a^2*c^5 + a*c^6)*cosh(x))*sinh(x)^2 + 4*(a^2*c^5 - a*c^6)*cosh(x) + 4*(a^2*c^5 - a*c^6 + (a^2*c^5 + 2*a*c^6 + c^7)*cosh(x)^3 + 3*(a^2*c^5 + a*c^6)*cosh(x)^2 + (3*a^2*c^5 - c^7)*cosh(x))*sinh(x))","B",0
752,1,4015,0,0.519631," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^4,x, algorithm=""fricas"")","\frac{30 \, a^{5} c - 90 \, a^{4} c^{2} + 82 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 24 \, a c^{5} + 8 \, c^{6} + 6 \, {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \sinh\left(x\right)^{5} + 30 \, {\left(5 \, a^{5} c + 5 \, a^{4} c^{2} - 3 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(5 \, a^{5} c + 5 \, a^{4} c^{2} - 3 \, a^{3} c^{3} - 3 \, a^{2} c^{4} + {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(75 \, a^{5} c - 65 \, a^{3} c^{3} + 12 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(75 \, a^{5} c - 65 \, a^{3} c^{3} + 12 \, a c^{5} + 15 \, {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 30 \, {\left(5 \, a^{5} c + 5 \, a^{4} c^{2} - 3 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(25 \, a^{5} c - 25 \, a^{4} c^{2} - 10 \, a^{3} c^{3} + 10 \, a^{2} c^{4} + 2 \, a c^{5} - 2 \, c^{6}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(25 \, a^{5} c - 25 \, a^{4} c^{2} - 10 \, a^{3} c^{3} + 10 \, a^{2} c^{4} + 2 \, a c^{5} - 2 \, c^{6} + 5 \, {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(5 \, a^{5} c + 5 \, a^{4} c^{2} - 3 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{2} + {\left(75 \, a^{5} c - 65 \, a^{3} c^{3} + 12 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 30 \, {\left(5 \, a^{5} c - 10 \, a^{4} c^{2} + 4 \, a^{3} c^{3} + 2 \, a^{2} c^{4} - a c^{5}\right)} \cosh\left(x\right) + 3 \, {\left({\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{6} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \sinh\left(x\right)^{6} + 5 \, a^{6} - 15 \, a^{5} c + 12 \, a^{4} c^{2} + 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} + 3 \, a c^{5} + 6 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{5} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(5 \, a^{6} - 10 \, a^{5} c + 2 \, a^{4} c^{2} + 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right) + 6 \, {\left(5 \, a^{6} - 10 \, a^{5} c + 2 \, a^{4} c^{2} + 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{2} + {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left({\left(a + c\right)} \cosh\left(x\right) + {\left(a + c\right)} \sinh\left(x\right) + a - c\right) - 3 \, {\left({\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{6} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \sinh\left(x\right)^{6} + 5 \, a^{6} - 15 \, a^{5} c + 12 \, a^{4} c^{2} + 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} + 3 \, a c^{5} + 6 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{5} + 5 \, {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(5 \, a^{6} - 10 \, a^{5} c + 2 \, a^{4} c^{2} + 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right) + 6 \, {\left(5 \, a^{6} - 10 \, a^{5} c + 2 \, a^{4} c^{2} + 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4} + {\left(5 \, a^{6} + 15 \, a^{5} c + 12 \, a^{4} c^{2} - 4 \, a^{3} c^{3} - 9 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(5 \, a^{6} + 10 \, a^{5} c + 2 \, a^{4} c^{2} - 6 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(25 \, a^{6} + 25 \, a^{5} c - 20 \, a^{4} c^{2} - 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} + 3 \, a c^{5}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(25 \, a^{6} - 30 \, a^{4} c^{2} + 9 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{2} + {\left(25 \, a^{6} - 25 \, a^{5} c - 20 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 3 \, a^{2} c^{4} - 3 \, a c^{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(25 \, a^{5} c - 50 \, a^{4} c^{2} + 20 \, a^{3} c^{3} + 10 \, a^{2} c^{4} - 5 \, a c^{5} + 5 \, {\left(5 \, a^{5} c + 10 \, a^{4} c^{2} + 2 \, a^{3} c^{3} - 6 \, a^{2} c^{4} - 3 \, a c^{5}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(5 \, a^{5} c + 5 \, a^{4} c^{2} - 3 \, a^{3} c^{3} - 3 \, a^{2} c^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(75 \, a^{5} c - 65 \, a^{3} c^{3} + 12 \, a c^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(25 \, a^{5} c - 25 \, a^{4} c^{2} - 10 \, a^{3} c^{3} + 10 \, a^{2} c^{4} + 2 \, a c^{5} - 2 \, c^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{6 \, {\left(a^{3} c^{7} - 3 \, a^{2} c^{8} + 3 \, a c^{9} - c^{10} + {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)^{6} + {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9} + {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(5 \, a^{3} c^{7} + 5 \, a^{2} c^{8} - a c^{9} - c^{10}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a^{3} c^{7} + 5 \, a^{2} c^{8} - a c^{9} - c^{10} + 5 \, {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a^{3} c^{7} - 3 \, a c^{9}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(5 \, a^{3} c^{7} - 3 \, a c^{9} + 5 \, {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{3} c^{7} + 5 \, a^{2} c^{8} - a c^{9} - c^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{3} c^{7} - 5 \, a^{2} c^{8} - a c^{9} + c^{10}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{3} c^{7} - 5 \, a^{2} c^{8} - a c^{9} + c^{10} + 5 \, {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(5 \, a^{3} c^{7} + 5 \, a^{2} c^{8} - a c^{9} - c^{10}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(5 \, a^{3} c^{7} - 3 \, a c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{3} c^{7} - 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right) + 6 \, {\left(a^{3} c^{7} - 2 \, a^{2} c^{8} + a c^{9} + {\left(a^{3} c^{7} + 3 \, a^{2} c^{8} + 3 \, a c^{9} + c^{10}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{3} c^{7} + 2 \, a^{2} c^{8} + a c^{9}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(5 \, a^{3} c^{7} + 5 \, a^{2} c^{8} - a c^{9} - c^{10}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(5 \, a^{3} c^{7} - 3 \, a c^{9}\right)} \cosh\left(x\right)^{2} + {\left(5 \, a^{3} c^{7} - 5 \, a^{2} c^{8} - a c^{9} + c^{10}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/6*(30*a^5*c - 90*a^4*c^2 + 82*a^3*c^3 - 6*a^2*c^4 - 24*a*c^5 + 8*c^6 + 6*(5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*cosh(x)^5 + 6*(5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*sinh(x)^5 + 30*(5*a^5*c + 5*a^4*c^2 - 3*a^3*c^3 - 3*a^2*c^4)*cosh(x)^4 + 30*(5*a^5*c + 5*a^4*c^2 - 3*a^3*c^3 - 3*a^2*c^4 + (5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*cosh(x))*sinh(x)^4 + 4*(75*a^5*c - 65*a^3*c^3 + 12*a*c^5)*cosh(x)^3 + 4*(75*a^5*c - 65*a^3*c^3 + 12*a*c^5 + 15*(5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*cosh(x)^2 + 30*(5*a^5*c + 5*a^4*c^2 - 3*a^3*c^3 - 3*a^2*c^4)*cosh(x))*sinh(x)^3 + 12*(25*a^5*c - 25*a^4*c^2 - 10*a^3*c^3 + 10*a^2*c^4 + 2*a*c^5 - 2*c^6)*cosh(x)^2 + 12*(25*a^5*c - 25*a^4*c^2 - 10*a^3*c^3 + 10*a^2*c^4 + 2*a*c^5 - 2*c^6 + 5*(5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*cosh(x)^3 + 15*(5*a^5*c + 5*a^4*c^2 - 3*a^3*c^3 - 3*a^2*c^4)*cosh(x)^2 + (75*a^5*c - 65*a^3*c^3 + 12*a*c^5)*cosh(x))*sinh(x)^2 + 30*(5*a^5*c - 10*a^4*c^2 + 4*a^3*c^3 + 2*a^2*c^4 - a*c^5)*cosh(x) + 3*((5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^6 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*sinh(x)^6 + 5*a^6 - 15*a^5*c + 12*a^4*c^2 + 4*a^3*c^3 - 9*a^2*c^4 + 3*a*c^5 + 6*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^5 + 6*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x))*sinh(x)^5 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^4 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^2 + 10*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x))*sinh(x)^4 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x)^3 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^3 + 15*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^2 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x))*sinh(x)^3 + 3*(25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5)*cosh(x)^2 + 3*(25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^4 + 20*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^3 + 6*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^2 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x))*sinh(x)^2 + 6*(5*a^6 - 10*a^5*c + 2*a^4*c^2 + 6*a^3*c^3 - 3*a^2*c^4)*cosh(x) + 6*(5*a^6 - 10*a^5*c + 2*a^4*c^2 + 6*a^3*c^3 - 3*a^2*c^4 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^5 + 5*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^4 + 2*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^3 + 2*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x)^2 + (25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5)*cosh(x))*sinh(x))*log((a + c)*cosh(x) + (a + c)*sinh(x) + a - c) - 3*((5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^6 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*sinh(x)^6 + 5*a^6 - 15*a^5*c + 12*a^4*c^2 + 4*a^3*c^3 - 9*a^2*c^4 + 3*a*c^5 + 6*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^5 + 6*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x))*sinh(x)^5 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^4 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^2 + 10*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x))*sinh(x)^4 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x)^3 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^3 + 15*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^2 + 3*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x))*sinh(x)^3 + 3*(25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5)*cosh(x)^2 + 3*(25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5 + 5*(5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^4 + 20*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^3 + 6*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^2 + 4*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x))*sinh(x)^2 + 6*(5*a^6 - 10*a^5*c + 2*a^4*c^2 + 6*a^3*c^3 - 3*a^2*c^4)*cosh(x) + 6*(5*a^6 - 10*a^5*c + 2*a^4*c^2 + 6*a^3*c^3 - 3*a^2*c^4 + (5*a^6 + 15*a^5*c + 12*a^4*c^2 - 4*a^3*c^3 - 9*a^2*c^4 - 3*a*c^5)*cosh(x)^5 + 5*(5*a^6 + 10*a^5*c + 2*a^4*c^2 - 6*a^3*c^3 - 3*a^2*c^4)*cosh(x)^4 + 2*(25*a^6 + 25*a^5*c - 20*a^4*c^2 - 20*a^3*c^3 + 3*a^2*c^4 + 3*a*c^5)*cosh(x)^3 + 2*(25*a^6 - 30*a^4*c^2 + 9*a^2*c^4)*cosh(x)^2 + (25*a^6 - 25*a^5*c - 20*a^4*c^2 + 20*a^3*c^3 + 3*a^2*c^4 - 3*a*c^5)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 6*(25*a^5*c - 50*a^4*c^2 + 20*a^3*c^3 + 10*a^2*c^4 - 5*a*c^5 + 5*(5*a^5*c + 10*a^4*c^2 + 2*a^3*c^3 - 6*a^2*c^4 - 3*a*c^5)*cosh(x)^4 + 20*(5*a^5*c + 5*a^4*c^2 - 3*a^3*c^3 - 3*a^2*c^4)*cosh(x)^3 + 2*(75*a^5*c - 65*a^3*c^3 + 12*a*c^5)*cosh(x)^2 + 4*(25*a^5*c - 25*a^4*c^2 - 10*a^3*c^3 + 10*a^2*c^4 + 2*a*c^5 - 2*c^6)*cosh(x))*sinh(x))/(a^3*c^7 - 3*a^2*c^8 + 3*a*c^9 - c^10 + (a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x)^6 + (a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*sinh(x)^6 + 6*(a^3*c^7 + 2*a^2*c^8 + a*c^9)*cosh(x)^5 + 6*(a^3*c^7 + 2*a^2*c^8 + a*c^9 + (a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x))*sinh(x)^5 + 3*(5*a^3*c^7 + 5*a^2*c^8 - a*c^9 - c^10)*cosh(x)^4 + 3*(5*a^3*c^7 + 5*a^2*c^8 - a*c^9 - c^10 + 5*(a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x)^2 + 10*(a^3*c^7 + 2*a^2*c^8 + a*c^9)*cosh(x))*sinh(x)^4 + 4*(5*a^3*c^7 - 3*a*c^9)*cosh(x)^3 + 4*(5*a^3*c^7 - 3*a*c^9 + 5*(a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x)^3 + 15*(a^3*c^7 + 2*a^2*c^8 + a*c^9)*cosh(x)^2 + 3*(5*a^3*c^7 + 5*a^2*c^8 - a*c^9 - c^10)*cosh(x))*sinh(x)^3 + 3*(5*a^3*c^7 - 5*a^2*c^8 - a*c^9 + c^10)*cosh(x)^2 + 3*(5*a^3*c^7 - 5*a^2*c^8 - a*c^9 + c^10 + 5*(a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x)^4 + 20*(a^3*c^7 + 2*a^2*c^8 + a*c^9)*cosh(x)^3 + 6*(5*a^3*c^7 + 5*a^2*c^8 - a*c^9 - c^10)*cosh(x)^2 + 4*(5*a^3*c^7 - 3*a*c^9)*cosh(x))*sinh(x)^2 + 6*(a^3*c^7 - 2*a^2*c^8 + a*c^9)*cosh(x) + 6*(a^3*c^7 - 2*a^2*c^8 + a*c^9 + (a^3*c^7 + 3*a^2*c^8 + 3*a*c^9 + c^10)*cosh(x)^5 + 5*(a^3*c^7 + 2*a^2*c^8 + a*c^9)*cosh(x)^4 + 2*(5*a^3*c^7 + 5*a^2*c^8 - a*c^9 - c^10)*cosh(x)^3 + 2*(5*a^3*c^7 - 3*a*c^9)*cosh(x)^2 + (5*a^3*c^7 - 5*a^2*c^8 - a*c^9 + c^10)*cosh(x))*sinh(x))","B",0
753,1,1293,0,0.449377," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{8} + 24 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{8} + 168 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{6} + 84 \, {\left(2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} - 2 \, c^{4} + {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 840 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x \cosh\left(x\right)^{4} + 168 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 210 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x\right)} \sinh\left(x\right)^{4} - 3 \, b^{4} + 12 \, b^{3} c - 18 \, b^{2} c^{2} + 12 \, b c^{3} - 3 \, c^{4} + 168 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} + 20 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 168 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2} + 84 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} - 2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} + 2 \, c^{4} + 60 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{5} + 140 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x \cosh\left(x\right)^{3} - 14 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 32 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{7} + 21 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{5} + 21 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 35 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 21 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 7 \, {\left(5 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 3 \, b^{3} + 3 \, b^{2} c + 3 \, b c^{2} - 3 \, c^{3} + 30 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 21 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \cosh\left(x\right) + {\left(7 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 105 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} - b^{3} + 3 \, b^{2} c - 3 \, b c^{2} + c^{3} - 63 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{192 \, {\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}\right)}}"," ",0,"1/192*(3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^8 + 24*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^7 + 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^8 + 168*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^6 + 84*(2*b^4 + 4*b^3*c - 4*b*c^3 - 2*c^4 + (b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^6 + 840*(b^4 - 2*b^2*c^2 + c^4)*x*cosh(x)^4 + 168*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 + 6*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^5 + 210*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 + 12*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2 + 4*(b^4 - 2*b^2*c^2 + c^4)*x)*sinh(x)^4 - 3*b^4 + 12*b^3*c - 18*b^2*c^2 + 12*b*c^3 - 3*c^4 + 168*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 + 20*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 + 20*(b^4 - 2*b^2*c^2 + c^4)*x*cosh(x))*sinh(x)^3 - 168*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x)^2 + 84*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 + 30*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 - 2*b^4 + 4*b^3*c - 4*b*c^3 + 2*c^4 + 60*(b^4 - 2*b^2*c^2 + c^4)*x*cosh(x)^2)*sinh(x)^2 + 24*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^7 + 42*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^5 + 140*(b^4 - 2*b^2*c^2 + c^4)*x*cosh(x)^3 - 14*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x))*sinh(x) + 32*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^7 + 7*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^6 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^7 + 21*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^5 + 21*(b^3 + b^2*c - b*c^2 - c^3 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^5 + 35*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 + 3*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^4 - 21*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^3 + 7*(5*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 3*b^3 + 3*b^2*c + 3*b*c^2 - 3*c^3 + 30*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^3 + 21*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 + 10*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 - 3*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x)^2 - (b^3 - 3*b^2*c + 3*b*c^2 - c^3)*cosh(x) + (7*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 105*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 - b^3 + 3*b^2*c - 3*b*c^2 + c^3 - 63*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2)*sinh(x))*sqrt(b^2 - c^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)","B",0
754,1,664,0,0.419059," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{{\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} + 45 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(3 \, b^{3} + 3 \, b^{2} c - 3 \, b c^{2} - 3 \, c^{3} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - b^{3} + 3 \, b^{2} c - 3 \, b c^{2} + c^{3} - 45 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 15 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 3 \, b^{3} + 3 \, b^{2} c + 3 \, b c^{2} - 3 \, c^{3} + 18 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 3 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + 3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{5} + 20 \, {\left(b^{2} - c^{2}\right)} x \cosh\left(x\right)^{3} + 10 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} - c^{2}\right)} x\right)} \sinh\left(x\right)^{3} + 30 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(b^{2} - c^{2}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(b^{2} - 2 \, b c + c^{2}\right)} \cosh\left(x\right) + 3 \, {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(b^{2} - c^{2}\right)} x \cosh\left(x\right)^{2} - b^{2} + 2 \, b c - c^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{24 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 6*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 + 45*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 15*(3*b^3 + 3*b^2*c - 3*b*c^2 - 3*c^3 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^4 + 20*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 + 9*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 - b^3 + 3*b^2*c - 3*b*c^2 + c^3 - 45*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 15*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 3*b^3 + 3*b^2*c + 3*b*c^2 - 3*c^3 + 18*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 6*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 + 30*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 - 15*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) + 3*(3*(b^2 + 2*b*c + c^2)*cosh(x)^5 + 15*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^4 + 3*(b^2 + 2*b*c + c^2)*sinh(x)^5 + 20*(b^2 - c^2)*x*cosh(x)^3 + 10*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 + 2*(b^2 - c^2)*x)*sinh(x)^3 + 30*((b^2 + 2*b*c + c^2)*cosh(x)^3 + 2*(b^2 - c^2)*x*cosh(x))*sinh(x)^2 - 3*(b^2 - 2*b*c + c^2)*cosh(x) + 3*(5*(b^2 + 2*b*c + c^2)*cosh(x)^4 + 20*(b^2 - c^2)*x*cosh(x)^2 - b^2 + 2*b*c - c^2)*sinh(x))*sqrt(b^2 - c^2))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
755,1,238,0,0.414644," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} + 12 \, {\left(b^{2} - c^{2}\right)} x \cosh\left(x\right)^{2} + 6 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} - c^{2}\right)} x\right)} \sinh\left(x\right)^{2} - b^{2} + 2 \, b c - c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(b^{2} - c^{2}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right) + 8 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 + 12*(b^2 - c^2)*x*cosh(x)^2 + 6*((b^2 + 2*b*c + c^2)*cosh(x)^2 + 2*(b^2 - c^2)*x)*sinh(x)^2 - b^2 + 2*b*c - c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 + 6*(b^2 - c^2)*x*cosh(x))*sinh(x) + 8*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))*sqrt(b^2 - c^2))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
756,1,61,0,0.401994," ","integrate(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(x \cosh\left(x\right) + x \sinh\left(x\right)\right)} - b + c}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(x*cosh(x) + x*sinh(x)) - b + c)/(cosh(x) + sinh(x))","B",0
757,1,88,0,0.399035," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2)),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) - \sqrt{b^{2} - c^{2}}\right)}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} - b^{2} + c^{2}}"," ",0,"-2*((b + c)*cosh(x) + (b + c)*sinh(x) - sqrt(b^2 - c^2))/((b^2 + 2*b*c + c^2)*cosh(x)^2 + 2*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x) + (b^2 + 2*b*c + c^2)*sinh(x)^2 - b^2 + c^2)","B",0
758,1,660,0,0.425059," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} + 6 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} - c^{2}\right)} \sinh\left(x\right)^{2} - b^{2} + 2 \, b c - c^{2} + 12 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 8 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3}\right)} \sqrt{b^{2} - c^{2}}\right)}}{3 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4} - 5 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} - b^{4} + 2 \, b^{3} c - 2 \, b c^{3} + c^{4} + 4 \, {\left(5 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} + b^{4} - 2 \, b^{2} c^{2} + c^{4} - 6 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-2/3*(3*(b^2 + 2*b*c + c^2)*cosh(x)^4 + 12*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + 3*(b^2 + 2*b*c + c^2)*sinh(x)^4 + 6*(b^2 - c^2)*cosh(x)^2 + 6*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 + b^2 - c^2)*sinh(x)^2 - b^2 + 2*b*c - c^2 + 12*((b^2 + 2*b*c + c^2)*cosh(x)^3 + (b^2 - c^2)*cosh(x))*sinh(x) - 8*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)^2*sinh(x) + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3)*sqrt(b^2 - c^2))/((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 + 6*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^5 + (b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^6 - 3*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 - 3*(b^4 + 2*b^3*c - 2*b*c^3 - c^4 - 5*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^4 - b^4 + 2*b^3*c - 2*b*c^3 + c^4 + 4*(5*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 - 3*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^3 + 3*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^2 + 3*(5*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 + b^4 - 2*b^2*c^2 + c^4 - 6*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x)^2 + 6*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 - 2*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 + (b^4 - 2*b^2*c^2 + c^4)*cosh(x))*sinh(x))","B",0
759,1,3035,0,0.502257," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(10 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{7} + 70 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + 10 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{7} + 76 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(38 \, b^{4} + 76 \, b^{3} c - 76 \, b c^{3} - 38 \, c^{4} + 105 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(35 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} + 38 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(35 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} + b^{4} - 2 \, b^{2} c^{2} + c^{4} + 76 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(21 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} + 76 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 10 \, {\left(7 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} + 38 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right) - {\left(45 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 270 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + 45 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} + 55 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(11 \, b^{3} + 11 \, b^{2} c - 11 \, b c^{2} - 11 \, c^{3} + 135 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(45 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 11 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3} - 5 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(135 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - b^{3} + b^{2} c + b c^{2} - c^{3} + 66 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(27 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} + 22 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} - {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)}}{15 \, {\left({\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7} - 9 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - b^{7} + 3 \, b^{6} c - b^{5} c^{2} - 5 \, b^{4} c^{3} + 5 \, b^{3} c^{4} + b^{2} c^{5} - 3 \, b c^{6} + c^{7} + 10 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7} + 21 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7} - 21 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{8} + b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7} - 28 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(b^{7} + 7 \, b^{6} c + 21 \, b^{5} c^{2} + 35 \, b^{4} c^{3} + 35 \, b^{3} c^{4} + 21 \, b^{2} c^{5} + 7 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} + {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-4/15*(10*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^7 + 70*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^6 + 10*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^7 + 76*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^5 + 2*(38*b^4 + 76*b^3*c - 76*b*c^3 - 38*c^4 + 105*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^5 + 10*(35*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 + 38*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^4 + 10*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^3 + 10*(35*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 + b^4 - 2*b^2*c^2 + c^4 + 76*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x)^3 + 10*(21*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 + 76*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 + 3*(b^4 - 2*b^2*c^2 + c^4)*cosh(x))*sinh(x)^2 + 10*(7*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 + 38*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 + 3*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^2)*sinh(x) - (45*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 270*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + 45*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 + 55*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 5*(11*b^3 + 11*b^2*c - 11*b*c^2 - 11*c^3 + 135*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^4 + 20*(45*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 + 11*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 + b^3 - 3*b^2*c + 3*b*c^2 - c^3 - 5*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 5*(135*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - b^3 + b^2*c + b*c^2 - c^3 + 66*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 10*(27*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 + 22*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 - (b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x))*sqrt(b^2 - c^2))/((b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^10 + 10*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)*sinh(x)^9 + (b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*sinh(x)^10 - 5*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^8 - 5*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7 - 9*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^2)*sinh(x)^8 + 40*(3*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^3 - (b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x))*sinh(x)^7 - b^7 + 3*b^6*c - b^5*c^2 - 5*b^4*c^3 + 5*b^3*c^4 + b^2*c^5 - 3*b*c^6 + c^7 + 10*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^6 + 10*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7 + 21*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^4 - 14*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^2)*sinh(x)^6 + 4*(63*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^5 - 70*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^3 + 15*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x))*sinh(x)^5 - 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^4 - 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7 - 21*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^6 + 35*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^4 - 15*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^2)*sinh(x)^4 + 40*(3*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^7 - 7*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^5 + 5*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^3 - (b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x))*sinh(x)^3 + 5*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^2 + 5*(9*(b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^8 + b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7 - 28*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^6 + 30*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^4 - 12*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^2)*sinh(x)^2 + 10*((b^7 + 7*b^6*c + 21*b^5*c^2 + 35*b^4*c^3 + 35*b^3*c^4 + 21*b^2*c^5 + 7*b*c^6 + c^7)*cosh(x)^9 - 4*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^7 + 6*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^5 - 4*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^3 + (b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x))*sinh(x))","B",0
760,1,6590,0,0.588977," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(35 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{10} + 350 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + 35 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \sinh\left(x\right)^{10} + 595 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{8} + 35 \, {\left(17 \, b^{5} + 51 \, b^{4} c + 34 \, b^{3} c^{2} - 34 \, b^{2} c^{3} - 51 \, b c^{4} - 17 \, c^{5} + 45 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 280 \, {\left(15 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} + 17 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 630 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} + 70 \, {\left(9 \, b^{5} + 9 \, b^{4} c - 18 \, b^{3} c^{2} - 18 \, b^{2} c^{3} + 9 \, b c^{4} + 9 \, c^{5} + 105 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} + 238 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 140 \, {\left(63 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} + 238 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + 27 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - b^{5} + 5 \, b^{4} c - 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} - 5 \, b c^{4} + c^{5} + 14 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(525 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} + b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + 2975 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 675 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 56 \, {\left(75 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{7} + 595 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{5} + 225 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 7 \, {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 7 \, {\left(225 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{8} + 2380 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{6} + b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5} + 1350 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 14 \, {\left(25 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{9} + 340 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{7} + 270 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 32 \, {\left(7 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{9} + 63 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{8} + 7 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{9} + 26 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{7} + 2 \, {\left(13 \, b^{4} + 26 \, b^{3} c - 26 \, b c^{3} - 13 \, c^{4} + 126 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{7} + 14 \, {\left(42 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} + 13 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 7 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{5} + 7 \, {\left(126 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} + b^{4} - 2 \, b^{2} c^{2} + c^{4} + 78 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 7 \, {\left(126 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} + 130 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 14 \, {\left(42 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} + 65 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 14 \, {\left(18 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{7} + 39 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{2} + 7 \, {\left(9 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{8} + 26 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{6} + 5 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{4}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)}}{35 \, {\left({\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{14} + 14 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right) \sinh\left(x\right)^{13} + {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \sinh\left(x\right)^{14} - 7 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{12} - 7 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9} - 13 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{12} + 28 \, {\left(13 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{11} + 21 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{10} + 7 \, {\left(3 \, b^{9} + 15 \, b^{8} c + 24 \, b^{7} c^{2} - 42 \, b^{5} c^{4} - 42 \, b^{4} c^{5} + 24 \, b^{2} c^{7} + 15 \, b c^{8} + 3 \, c^{9} + 143 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{4} - 66 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{10} + 14 \, {\left(143 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{5} - 110 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} - b^{9} + 5 \, b^{8} c - 8 \, b^{7} c^{2} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} - 5 \, b c^{8} + c^{9} - 35 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{8} - 7 \, {\left(5 \, b^{9} + 15 \, b^{8} c - 40 \, b^{6} c^{3} - 30 \, b^{5} c^{4} + 30 \, b^{4} c^{5} + 40 \, b^{3} c^{6} - 15 \, b c^{8} - 5 \, c^{9} - 429 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{6} + 495 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{4} - 135 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 8 \, {\left(429 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{7} - 693 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{5} + 315 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{3} - 35 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 35 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)^{6} + 7 \, {\left(5 \, b^{9} + 5 \, b^{8} c - 20 \, b^{7} c^{2} - 20 \, b^{6} c^{3} + 30 \, b^{5} c^{4} + 30 \, b^{4} c^{5} - 20 \, b^{3} c^{6} - 20 \, b^{2} c^{7} + 5 \, b c^{8} + 5 \, c^{9} + 429 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{8} - 924 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{6} + 630 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{4} - 140 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 14 \, {\left(143 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{9} - 396 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{7} + 378 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{5} - 140 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 21 \, {\left(b^{9} - b^{8} c - 4 \, b^{7} c^{2} + 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} + 4 \, b^{2} c^{7} + b c^{8} - c^{9}\right)} \cosh\left(x\right)^{4} + 7 \, {\left(143 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{10} - 3 \, b^{9} + 3 \, b^{8} c + 12 \, b^{7} c^{2} - 12 \, b^{6} c^{3} - 18 \, b^{5} c^{4} + 18 \, b^{4} c^{5} + 12 \, b^{3} c^{6} - 12 \, b^{2} c^{7} - 3 \, b c^{8} + 3 \, c^{9} - 495 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{8} + 630 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{6} - 350 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{4} + 75 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 28 \, {\left(13 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{11} - 55 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{9} + 90 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{7} - 70 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{5} + 25 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{9} - b^{8} c - 4 \, b^{7} c^{2} + 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} + 4 \, b^{2} c^{7} + b c^{8} - c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 7 \, {\left(b^{9} - 3 \, b^{8} c + 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{2} + 7 \, {\left(13 \, {\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{12} - 66 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{10} + b^{9} - 3 \, b^{8} c + 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} + c^{9} + 135 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{8} - 140 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{6} + 75 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)^{4} - 18 \, {\left(b^{9} - b^{8} c - 4 \, b^{7} c^{2} + 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} + 4 \, b^{2} c^{7} + b c^{8} - c^{9}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 14 \, {\left({\left(b^{9} + 9 \, b^{8} c + 36 \, b^{7} c^{2} + 84 \, b^{6} c^{3} + 126 \, b^{5} c^{4} + 126 \, b^{4} c^{5} + 84 \, b^{3} c^{6} + 36 \, b^{2} c^{7} + 9 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{13} - 6 \, {\left(b^{9} + 7 \, b^{8} c + 20 \, b^{7} c^{2} + 28 \, b^{6} c^{3} + 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} - 28 \, b^{3} c^{6} - 20 \, b^{2} c^{7} - 7 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{11} + 15 \, {\left(b^{9} + 5 \, b^{8} c + 8 \, b^{7} c^{2} - 14 \, b^{5} c^{4} - 14 \, b^{4} c^{5} + 8 \, b^{2} c^{7} + 5 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)^{9} - 20 \, {\left(b^{9} + 3 \, b^{8} c - 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} - c^{9}\right)} \cosh\left(x\right)^{7} + 15 \, {\left(b^{9} + b^{8} c - 4 \, b^{7} c^{2} - 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} + 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} - 4 \, b^{2} c^{7} + b c^{8} + c^{9}\right)} \cosh\left(x\right)^{5} - 6 \, {\left(b^{9} - b^{8} c - 4 \, b^{7} c^{2} + 4 \, b^{6} c^{3} + 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} - 4 \, b^{3} c^{6} + 4 \, b^{2} c^{7} + b c^{8} - c^{9}\right)} \cosh\left(x\right)^{3} + {\left(b^{9} - 3 \, b^{8} c + 8 \, b^{6} c^{3} - 6 \, b^{5} c^{4} - 6 \, b^{4} c^{5} + 8 \, b^{3} c^{6} - 3 \, b c^{8} + c^{9}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-4/35*(35*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^10 + 350*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)*sinh(x)^9 + 35*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*sinh(x)^10 + 595*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^8 + 35*(17*b^5 + 51*b^4*c + 34*b^3*c^2 - 34*b^2*c^3 - 51*b*c^4 - 17*c^5 + 45*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^2)*sinh(x)^8 + 280*(15*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^3 + 17*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x))*sinh(x)^7 + 630*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^6 + 70*(9*b^5 + 9*b^4*c - 18*b^3*c^2 - 18*b^2*c^3 + 9*b*c^4 + 9*c^5 + 105*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^4 + 238*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^2)*sinh(x)^6 + 140*(63*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^5 + 238*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^3 + 27*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x))*sinh(x)^5 - b^5 + 5*b^4*c - 10*b^3*c^2 + 10*b^2*c^3 - 5*b*c^4 + c^5 + 14*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^4 + 14*(525*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^6 + b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + 2975*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^4 + 675*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2)*sinh(x)^4 + 56*(75*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^7 + 595*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^5 + 225*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^3 + (b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x))*sinh(x)^3 + 7*(b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x)^2 + 7*(225*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^8 + 2380*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^6 + b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5 + 1350*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^4 + 12*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^2)*sinh(x)^2 + 14*(25*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^9 + 340*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^7 + 270*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^5 + 4*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^3 + (b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x))*sinh(x) - 32*(7*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^9 + 63*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^8 + 7*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^9 + 26*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^7 + 2*(13*b^4 + 26*b^3*c - 26*b*c^3 - 13*c^4 + 126*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^7 + 14*(42*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 + 13*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^6 + 7*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^5 + 7*(126*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 + b^4 - 2*b^2*c^2 + c^4 + 78*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x)^5 + 7*(126*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 + 130*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 + 5*(b^4 - 2*b^2*c^2 + c^4)*cosh(x))*sinh(x)^4 + 14*(42*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 + 65*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 + 5*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^2)*sinh(x)^3 + 14*(18*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^7 + 39*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^5 + 5*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^3)*sinh(x)^2 + 7*(9*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^8 + 26*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^6 + 5*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^4)*sinh(x))*sqrt(b^2 - c^2))/((b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^14 + 14*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)*sinh(x)^13 + (b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*sinh(x)^14 - 7*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^12 - 7*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9 - 13*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^2)*sinh(x)^12 + 28*(13*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^3 - 3*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x))*sinh(x)^11 + 21*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^10 + 7*(3*b^9 + 15*b^8*c + 24*b^7*c^2 - 42*b^5*c^4 - 42*b^4*c^5 + 24*b^2*c^7 + 15*b*c^8 + 3*c^9 + 143*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^4 - 66*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^2)*sinh(x)^10 + 14*(143*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^5 - 110*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^3 + 15*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x))*sinh(x)^9 - b^9 + 5*b^8*c - 8*b^7*c^2 + 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 - 5*b*c^8 + c^9 - 35*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^8 - 7*(5*b^9 + 15*b^8*c - 40*b^6*c^3 - 30*b^5*c^4 + 30*b^4*c^5 + 40*b^3*c^6 - 15*b*c^8 - 5*c^9 - 429*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^6 + 495*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^4 - 135*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^2)*sinh(x)^8 + 8*(429*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^7 - 693*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^5 + 315*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^3 - 35*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x))*sinh(x)^7 + 35*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x)^6 + 7*(5*b^9 + 5*b^8*c - 20*b^7*c^2 - 20*b^6*c^3 + 30*b^5*c^4 + 30*b^4*c^5 - 20*b^3*c^6 - 20*b^2*c^7 + 5*b*c^8 + 5*c^9 + 429*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^8 - 924*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^6 + 630*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^4 - 140*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^2)*sinh(x)^6 + 14*(143*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^9 - 396*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^7 + 378*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^5 - 140*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^3 + 15*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x))*sinh(x)^5 - 21*(b^9 - b^8*c - 4*b^7*c^2 + 4*b^6*c^3 + 6*b^5*c^4 - 6*b^4*c^5 - 4*b^3*c^6 + 4*b^2*c^7 + b*c^8 - c^9)*cosh(x)^4 + 7*(143*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^10 - 3*b^9 + 3*b^8*c + 12*b^7*c^2 - 12*b^6*c^3 - 18*b^5*c^4 + 18*b^4*c^5 + 12*b^3*c^6 - 12*b^2*c^7 - 3*b*c^8 + 3*c^9 - 495*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^8 + 630*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^6 - 350*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^4 + 75*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x)^2)*sinh(x)^4 + 28*(13*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^11 - 55*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^9 + 90*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^7 - 70*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^5 + 25*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x)^3 - 3*(b^9 - b^8*c - 4*b^7*c^2 + 4*b^6*c^3 + 6*b^5*c^4 - 6*b^4*c^5 - 4*b^3*c^6 + 4*b^2*c^7 + b*c^8 - c^9)*cosh(x))*sinh(x)^3 + 7*(b^9 - 3*b^8*c + 8*b^6*c^3 - 6*b^5*c^4 - 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 + c^9)*cosh(x)^2 + 7*(13*(b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^12 - 66*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^10 + b^9 - 3*b^8*c + 8*b^6*c^3 - 6*b^5*c^4 - 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 + c^9 + 135*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^8 - 140*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^6 + 75*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x)^4 - 18*(b^9 - b^8*c - 4*b^7*c^2 + 4*b^6*c^3 + 6*b^5*c^4 - 6*b^4*c^5 - 4*b^3*c^6 + 4*b^2*c^7 + b*c^8 - c^9)*cosh(x)^2)*sinh(x)^2 + 14*((b^9 + 9*b^8*c + 36*b^7*c^2 + 84*b^6*c^3 + 126*b^5*c^4 + 126*b^4*c^5 + 84*b^3*c^6 + 36*b^2*c^7 + 9*b*c^8 + c^9)*cosh(x)^13 - 6*(b^9 + 7*b^8*c + 20*b^7*c^2 + 28*b^6*c^3 + 14*b^5*c^4 - 14*b^4*c^5 - 28*b^3*c^6 - 20*b^2*c^7 - 7*b*c^8 - c^9)*cosh(x)^11 + 15*(b^9 + 5*b^8*c + 8*b^7*c^2 - 14*b^5*c^4 - 14*b^4*c^5 + 8*b^2*c^7 + 5*b*c^8 + c^9)*cosh(x)^9 - 20*(b^9 + 3*b^8*c - 8*b^6*c^3 - 6*b^5*c^4 + 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 - c^9)*cosh(x)^7 + 15*(b^9 + b^8*c - 4*b^7*c^2 - 4*b^6*c^3 + 6*b^5*c^4 + 6*b^4*c^5 - 4*b^3*c^6 - 4*b^2*c^7 + b*c^8 + c^9)*cosh(x)^5 - 6*(b^9 - b^8*c - 4*b^7*c^2 + 4*b^6*c^3 + 6*b^5*c^4 - 6*b^4*c^5 - 4*b^3*c^6 + 4*b^2*c^7 + b*c^8 - c^9)*cosh(x)^3 + (b^9 - 3*b^8*c + 8*b^6*c^3 - 6*b^5*c^4 - 6*b^4*c^5 + 8*b^3*c^6 - 3*b*c^8 + c^9)*cosh(x))*sinh(x))","B",0
761,0,0,0,0.439316," ","integrate((a+b*cosh(x)+c*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \cosh\left(x\right)^{2} + c^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, {\left(b c \cosh\left(x\right) + a c\right)} \sinh\left(x\right)\right)} \sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}, x\right)"," ",0,"integral((b^2*cosh(x)^2 + c^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*(b*c*cosh(x) + a*c)*sinh(x))*sqrt(b*cosh(x) + c*sinh(x) + a), x)","F",0
762,0,0,0,0.443051," ","integrate((a+b*cosh(x)+c*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*cosh(x) + c*sinh(x) + a)^(3/2), x)","F",0
763,0,0,0,0.423133," ","integrate((a+b*cosh(x)+c*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + c*sinh(x) + a), x)","F",0
764,0,0,0,0.416737," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}}, x\right)"," ",0,"integral(1/sqrt(b*cosh(x) + c*sinh(x) + a), x)","F",0
765,0,0,0,0.461623," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}}{b^{2} \cosh\left(x\right)^{2} + c^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, {\left(b c \cosh\left(x\right) + a c\right)} \sinh\left(x\right)}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + c*sinh(x) + a)/(b^2*cosh(x)^2 + c^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*(b*c*cosh(x) + a*c)*sinh(x)), x)","F",0
766,0,0,0,0.459605," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}}{b^{3} \cosh\left(x\right)^{3} + c^{3} \sinh\left(x\right)^{3} + 3 \, a b^{2} \cosh\left(x\right)^{2} + 3 \, a^{2} b \cosh\left(x\right) + a^{3} + 3 \, {\left(b c^{2} \cosh\left(x\right) + a c^{2}\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{2} c \cosh\left(x\right)^{2} + 2 \, a b c \cosh\left(x\right) + a^{2} c\right)} \sinh\left(x\right)}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + c*sinh(x) + a)/(b^3*cosh(x)^3 + c^3*sinh(x)^3 + 3*a*b^2*cosh(x)^2 + 3*a^2*b*cosh(x) + a^3 + 3*(b*c^2*cosh(x) + a*c^2)*sinh(x)^2 + 3*(b^2*c*cosh(x)^2 + 2*a*b*c*cosh(x) + a^2*c)*sinh(x)), x)","F",0
767,0,0,0,0.472827," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}}{b^{4} \cosh\left(x\right)^{4} + c^{4} \sinh\left(x\right)^{4} + 4 \, a b^{3} \cosh\left(x\right)^{3} + 6 \, a^{2} b^{2} \cosh\left(x\right)^{2} + 4 \, a^{3} b \cosh\left(x\right) + a^{4} + 4 \, {\left(b c^{3} \cosh\left(x\right) + a c^{3}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(b^{2} c^{2} \cosh\left(x\right)^{2} + 2 \, a b c^{2} \cosh\left(x\right) + a^{2} c^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{3} c \cosh\left(x\right)^{3} + 3 \, a b^{2} c \cosh\left(x\right)^{2} + 3 \, a^{2} b c \cosh\left(x\right) + a^{3} c\right)} \sinh\left(x\right)}, x\right)"," ",0,"integral(sqrt(b*cosh(x) + c*sinh(x) + a)/(b^4*cosh(x)^4 + c^4*sinh(x)^4 + 4*a*b^3*cosh(x)^3 + 6*a^2*b^2*cosh(x)^2 + 4*a^3*b*cosh(x) + a^4 + 4*(b*c^3*cosh(x) + a*c^3)*sinh(x)^3 + 6*(b^2*c^2*cosh(x)^2 + 2*a*b*c^2*cosh(x) + a^2*c^2)*sinh(x)^2 + 4*(b^3*c*cosh(x)^3 + 3*a*b^2*c*cosh(x)^2 + 3*a^2*b*c*cosh(x) + a^3*c)*sinh(x)), x)","F",0
768,1,784,0,0.443662," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 18 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + 3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} + 125 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(25 \, b^{3} + 25 \, b^{2} c - 25 \, b c^{2} - 25 \, c^{3} + 9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 25 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, b^{3} - 9 \, b^{2} c + 9 \, b c^{2} - 3 \, c^{3} + 125 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 25 \, b^{3} - 25 \, b^{2} c - 25 \, b c^{2} + 25 \, c^{3} + 150 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} + 250 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + 125 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{5} + 55 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + 11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{5} - 150 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - 15 \, b^{2} + 15 \, c^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - 45 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 11 \, {\left(b^{2} - 2 \, b c + c^{2}\right)} \cosh\left(x\right) + {\left(55 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} - 450 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 11 \, b^{2} - 22 \, b c + 11 \, c^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{30 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + c\right)} \sinh\left(x\right)^{4} - {\left(b - c\right)} \cosh\left(x\right)^{2} + {\left(6 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(b + c\right)} \cosh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/30*sqrt(1/2)*(3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 18*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + 3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 + 125*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 5*(25*b^3 + 25*b^2*c - 25*b*c^2 - 25*c^3 + 9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^4 + 20*(3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 + 25*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 + 3*b^3 - 9*b^2*c + 9*b*c^2 - 3*c^3 + 125*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 5*(9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 + 25*b^3 - 25*b^2*c - 25*b*c^2 + 25*c^3 + 150*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 2*(9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 + 250*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + 125*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) + 2*(11*(b^2 + 2*b*c + c^2)*cosh(x)^5 + 55*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^4 + 11*(b^2 + 2*b*c + c^2)*sinh(x)^5 - 150*(b^2 - c^2)*cosh(x)^3 + 10*(11*(b^2 + 2*b*c + c^2)*cosh(x)^2 - 15*b^2 + 15*c^2)*sinh(x)^3 + 10*(11*(b^2 + 2*b*c + c^2)*cosh(x)^3 - 45*(b^2 - c^2)*cosh(x))*sinh(x)^2 + 11*(b^2 - 2*b*c + c^2)*cosh(x) + (55*(b^2 + 2*b*c + c^2)*cosh(x)^4 - 450*(b^2 - c^2)*cosh(x)^2 + 11*b^2 - 22*b*c + 11*c^2)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^4 + 4*(b + c)*cosh(x)*sinh(x)^3 + (b + c)*sinh(x)^4 - (b - c)*cosh(x)^2 + (6*(b + c)*cosh(x)^2 - b + c)*sinh(x)^2 + 2*(2*(b + c)*cosh(x)^3 - (b - c)*cosh(x))*sinh(x))","B",0
769,1,329,0,0.444743," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 18 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - 3 \, b^{2} + 3 \, c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 8 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} + {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} + b - c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{3 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 18*(b^2 - c^2)*cosh(x)^2 + 6*((b^2 + 2*b*c + c^2)*cosh(x)^2 - 3*b^2 + 3*c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - 9*(b^2 - c^2)*cosh(x))*sinh(x) + 8*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 + (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 + b - c)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))","B",0
770,1,143,0,0.450971," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} {\left({\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - b + c}"," ",0,"2*sqrt(1/2)*((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - b + c)","B",0
771,1,681,0,0.499243," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\sqrt{2} \sqrt{-\frac{1}{\sqrt{b^{2} - c^{2}}}} \log\left(-\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, \sqrt{2} \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(b^{2} - c^{2}\right)} \sinh\left(x\right)^{2} - {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} + {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} + b - c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}} \sqrt{-\frac{1}{\sqrt{b^{2} - c^{2}}}} - b^{2} + 2 \, b c - c^{2} - 2 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - b^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right), -\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} {\left(\sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left({\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - b + c\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}}\right]"," ",0,"[sqrt(2)*sqrt(-1/sqrt(b^2 - c^2))*log(-((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)^3*sinh(x) + 6*(b^2 + 2*b*c + c^2)*cosh(x)^2*sinh(x)^2 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*sqrt(2)*sqrt(1/2)*(2*(b^2 - c^2)*cosh(x)^2 + 4*(b^2 - c^2)*cosh(x)*sinh(x) + 2*(b^2 - c^2)*sinh(x)^2 - ((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 + (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 + b - c)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))*sqrt(-1/sqrt(b^2 - c^2)) - b^2 + 2*b*c - c^2 - 2*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))*sqrt(b^2 - c^2))/((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*(b^2 - c^2)*cosh(x)^2 + 2*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 - b^2 + c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - (b^2 - c^2)*cosh(x))*sinh(x))), -2*sqrt(2)*arctan(sqrt(2)*sqrt(1/2)*(sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) - b + c)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - b + c)*(b^2 - c^2)^(1/4)))/(b^2 - c^2)^(1/4)]","B",0
772,1,1801,0,0.511794," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 6 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} - 3 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} - \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} - 3 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 6 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2} + \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(\sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} - 2 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - \sqrt{2} {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)}\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{\frac{1}{2}} {\left(\sqrt{2} {\left(b + c\right)} \cosh\left(x\right) + \sqrt{2} {\left(b + c\right)} \sinh\left(x\right) - \sqrt{2} \sqrt{b^{2} - c^{2}}\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} - b^{2} + c^{2}}\right) - 2 \, \sqrt{\frac{1}{2}} {\left(4 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 16 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 4 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3} + 6 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(2 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{5} + 6 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} - 3 \, c^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(b^{2} - 2 \, b c + c^{2}\right)} \cosh\left(x\right) + {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{2 \, {\left({\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \sinh\left(x\right)^{6} - b^{5} + 3 \, b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + 3 \, b c^{4} - c^{5} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*((sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 6*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 - 3*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 3*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2 - sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3))*sinh(x)^4 + 4*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 - 3*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 + 3*sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 3*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 6*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2 + sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3))*sinh(x)^2 + 6*(sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 - 2*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) - sqrt(2)*(b^3 - 3*b^2*c + 3*b*c^2 - c^3))*(b^2 - c^2)^(1/4)*arctan(-sqrt(1/2)*(sqrt(2)*(b + c)*cosh(x) + sqrt(2)*(b + c)*sinh(x) - sqrt(2)*sqrt(b^2 - c^2))*(b^2 - c^2)^(1/4)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b^2 + 2*b*c + c^2)*cosh(x)^2 + 2*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x) + (b^2 + 2*b*c + c^2)*sinh(x)^2 - b^2 + c^2)) - 2*sqrt(1/2)*(4*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 16*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)*sinh(x)^3 + 4*(b^3 + b^2*c - b*c^2 - c^3)*sinh(x)^4 + 4*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 4*(b^3 - b^2*c - b*c^2 + c^3 + 6*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 8*(2*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + (b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) - ((b^2 + 2*b*c + c^2)*cosh(x)^5 + 5*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^4 + (b^2 + 2*b*c + c^2)*sinh(x)^5 + 6*(b^2 - c^2)*cosh(x)^3 + 2*(5*(b^2 + 2*b*c + c^2)*cosh(x)^2 + 3*b^2 - 3*c^2)*sinh(x)^3 + 2*(5*(b^2 + 2*b*c + c^2)*cosh(x)^3 + 9*(b^2 - c^2)*cosh(x))*sinh(x)^2 + (b^2 - 2*b*c + c^2)*cosh(x) + (5*(b^2 + 2*b*c + c^2)*cosh(x)^4 + 18*(b^2 - c^2)*cosh(x)^2 + b^2 - 2*b*c + c^2)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x))))/((b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^6 + 6*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)*sinh(x)^5 + (b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*sinh(x)^6 - b^5 + 3*b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + 3*b*c^4 - c^5 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^4 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^3 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x))*sinh(x)^3 + 3*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^2 + 3*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^4 - 6*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2)*sinh(x)^2 + 6*((b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^5 - 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^3 + (b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x))*sinh(x))","B",0
773,1,5297,0,0.691496," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x, algorithm=""fricas"")","-\frac{\frac{3 \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5} - 9 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} - {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5} + 21 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - b^{5} + 5 \, b^{4} c - 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} - 5 \, b c^{4} + c^{5} - 10 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} - b^{5} + b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - b c^{4} + c^{5} - 35 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} - {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{6} + b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5} + 30 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\frac{{\left(\sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} - b + c\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left({\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - b + c\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}} - \sqrt{\frac{1}{2}} {\left(3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{9} + 27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{8} + 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{9} - 36 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{7} - 36 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4} - 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{7} + 252 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} - {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 190 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(189 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} - 95 \, b^{4} + 190 \, b^{2} c^{2} - 95 \, c^{4} - 378 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 2 \, {\left(189 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} - 630 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 36 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(63 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} - 315 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} - 9 \, b^{4} + 18 \, b^{3} c - 18 \, b c^{3} + 9 \, c^{4} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 4 \, {\left(27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{7} - 189 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{5} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{3} - 27 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{4} - 4 \, b^{3} c + 6 \, b^{2} c^{2} - 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) + {\left(27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{8} - 252 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{6} - 950 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{4} + 3 \, b^{4} - 12 \, b^{3} c + 18 \, b^{2} c^{2} - 12 \, b c^{3} + 3 \, c^{4} - 108 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right) - 4 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{8} - 33 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{6} - {\left(33 \, b^{3} + 33 \, b^{2} c - 33 \, b c^{2} - 33 \, c^{3} - 28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} - 99 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 33 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + {\left(70 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 33 \, b^{3} + 33 \, b^{2} c + 33 \, b c^{2} - 33 \, c^{3} - 495 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(14 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} - 165 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} - 33 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2} + {\left(28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} - 495 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3} - 198 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(4 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{7} - 99 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{5} - 66 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{8 \, {\left({\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7} - 9 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - b^{7} + 5 \, b^{6} c - 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} + 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} + 5 \, b c^{6} - c^{7} + 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7} + 21 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7} - 21 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{8} + b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7} - 28 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} + {\left(b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/8*(3*sqrt(1/2)*((b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^10 + 10*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)*sinh(x)^9 + (b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*sinh(x)^10 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^8 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5 - 9*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^2)*sinh(x)^8 + 40*(3*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^3 - (b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x))*sinh(x)^7 + 10*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^6 + 10*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5 + 21*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^4 - 14*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^2)*sinh(x)^6 + 4*(63*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^5 - 70*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^3 + 15*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x))*sinh(x)^5 - b^5 + 5*b^4*c - 10*b^3*c^2 + 10*b^2*c^3 - 5*b*c^4 + c^5 - 10*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^4 + 10*(21*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^6 - b^5 + b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - b*c^4 + c^5 - 35*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^4 + 15*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2)*sinh(x)^4 + 40*(3*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^7 - 7*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^5 + 5*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^3 - (b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x))*sinh(x)^3 + 5*(b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x)^2 + 5*(9*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^8 - 28*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^6 + b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5 + 30*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^4 - 12*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^2)*sinh(x)^2 + 10*((b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^9 - 4*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^7 + 6*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^5 - 4*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^3 + (b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x))*sinh(x))*arctan((sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) - b + c)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - b + c)*(b^2 - c^2)^(1/4)))/(b^2 - c^2)^(1/4) - sqrt(1/2)*(3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^9 + 27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^8 + 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^9 - 36*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^7 - 36*(b^4 + 2*b^3*c - 2*b*c^3 - c^4 - 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^7 + 252*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 - (b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^6 - 190*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^5 + 2*(189*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 - 95*b^4 + 190*b^2*c^2 - 95*c^4 - 378*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x)^5 + 2*(189*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 - 630*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x))*sinh(x)^4 - 36*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x)^3 + 4*(63*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 - 315*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 - 9*b^4 + 18*b^3*c - 18*b*c^3 + 9*c^4 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^2)*sinh(x)^3 + 4*(27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^7 - 189*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^5 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^3 - 27*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x))*sinh(x)^2 + 3*(b^4 - 4*b^3*c + 6*b^2*c^2 - 4*b*c^3 + c^4)*cosh(x) + (27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^8 - 252*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^6 - 950*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^4 + 3*b^4 - 12*b^3*c + 18*b^2*c^2 - 12*b*c^3 + 3*c^4 - 108*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x) - 4*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^8 + 8*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^7 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^8 - 33*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^6 - (33*b^3 + 33*b^2*c - 33*b*c^2 - 33*c^3 - 28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^6 + 2*(28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 - 99*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^5 - 33*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^4 + (70*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 33*b^3 + 33*b^2*c + 33*b*c^2 - 33*c^3 - 495*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^4 + 4*(14*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 - 165*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 - 33*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x)^3 + (b^3 - 3*b^2*c + 3*b*c^2 - c^3)*cosh(x)^2 + (28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 - 495*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3 - 198*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 2*(4*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^7 - 99*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^5 - 66*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^3 + (b^3 - 3*b^2*c + 3*b*c^2 - c^3)*cosh(x))*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x))))/((b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^10 + 10*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)*sinh(x)^9 + (b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*sinh(x)^10 - 5*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^8 - 5*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7 - 9*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^2)*sinh(x)^8 + 40*(3*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^3 - (b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x))*sinh(x)^7 - b^7 + 5*b^6*c - 9*b^5*c^2 + 5*b^4*c^3 + 5*b^3*c^4 - 9*b^2*c^5 + 5*b*c^6 - c^7 + 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^6 + 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7 + 21*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^4 - 14*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^2)*sinh(x)^6 + 4*(63*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^5 - 70*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^3 + 15*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x))*sinh(x)^5 - 10*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^4 - 10*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7 - 21*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^6 + 35*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^4 - 15*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^2)*sinh(x)^4 + 40*(3*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^7 - 7*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^5 + 5*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^3 - (b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x))*sinh(x)^3 + 5*(b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7)*cosh(x)^2 + 5*(9*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^8 + b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7 - 28*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^6 + 30*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^4 - 12*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^2)*sinh(x)^2 + 10*((b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^9 - 4*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^7 + 6*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^5 - 4*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^3 + (b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7)*cosh(x))*sinh(x))","B",0
774,1,784,0,0.497410," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left(3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 18 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + 3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} + 125 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(25 \, b^{3} + 25 \, b^{2} c - 25 \, b c^{2} - 25 \, c^{3} + 9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(3 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + 25 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, b^{3} - 9 \, b^{2} c + 9 \, b c^{2} - 3 \, c^{3} + 125 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 25 \, b^{3} - 25 \, b^{2} c - 25 \, b c^{2} + 25 \, c^{3} + 150 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(9 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} + 250 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + 125 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{5} + 55 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + 11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{5} - 150 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - 15 \, b^{2} + 15 \, c^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(11 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - 45 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 11 \, {\left(b^{2} - 2 \, b c + c^{2}\right)} \cosh\left(x\right) + {\left(55 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} - 450 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 11 \, b^{2} - 22 \, b c + 11 \, c^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{30 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + c\right)} \sinh\left(x\right)^{4} - {\left(b - c\right)} \cosh\left(x\right)^{2} + {\left(6 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(b + c\right)} \cosh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/30*sqrt(1/2)*(3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 18*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + 3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 + 125*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 5*(25*b^3 + 25*b^2*c - 25*b*c^2 - 25*c^3 + 9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^4 + 20*(3*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 + 25*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 + 3*b^3 - 9*b^2*c + 9*b*c^2 - 3*c^3 + 125*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 5*(9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 + 25*b^3 - 25*b^2*c - 25*b*c^2 + 25*c^3 + 150*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 2*(9*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 + 250*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + 125*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) - 2*(11*(b^2 + 2*b*c + c^2)*cosh(x)^5 + 55*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^4 + 11*(b^2 + 2*b*c + c^2)*sinh(x)^5 - 150*(b^2 - c^2)*cosh(x)^3 + 10*(11*(b^2 + 2*b*c + c^2)*cosh(x)^2 - 15*b^2 + 15*c^2)*sinh(x)^3 + 10*(11*(b^2 + 2*b*c + c^2)*cosh(x)^3 - 45*(b^2 - c^2)*cosh(x))*sinh(x)^2 + 11*(b^2 - 2*b*c + c^2)*cosh(x) + (55*(b^2 + 2*b*c + c^2)*cosh(x)^4 - 450*(b^2 - c^2)*cosh(x)^2 + 11*b^2 - 22*b*c + 11*c^2)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^4 + 4*(b + c)*cosh(x)*sinh(x)^3 + (b + c)*sinh(x)^4 - (b - c)*cosh(x)^2 + (6*(b + c)*cosh(x)^2 - b + c)*sinh(x)^2 + 2*(2*(b + c)*cosh(x)^3 - (b - c)*cosh(x))*sinh(x))","B",0
775,1,329,0,0.442036," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\frac{1}{2}} {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 18 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 6 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - 3 \, b^{2} + 3 \, c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - 9 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 8 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} + {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} + b - c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{3 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*sqrt(1/2)*((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 18*(b^2 - c^2)*cosh(x)^2 + 6*((b^2 + 2*b*c + c^2)*cosh(x)^2 - 3*b^2 + 3*c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - 9*(b^2 - c^2)*cosh(x))*sinh(x) - 8*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 + (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 + b - c)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))","B",0
776,1,143,0,0.446434," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} {\left({\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - b + c}"," ",0,"2*sqrt(1/2)*((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 + 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - b + c)","B",0
777,1,680,0,0.534386," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(-\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - \frac{2 \, \sqrt{2} \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(b^{2} - c^{2}\right)} \sinh\left(x\right)^{2} + {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} + {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} + b - c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}} - b^{2} + 2 \, b c - c^{2} + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - b^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}}, 2 \, \sqrt{2} \sqrt{-\frac{1}{\sqrt{b^{2} - c^{2}}}} \arctan\left(\frac{\sqrt{2} \sqrt{\frac{1}{2}} {\left(\sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}} \sqrt{-\frac{1}{\sqrt{b^{2} - c^{2}}}}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - b + c}\right)\right]"," ",0,"[sqrt(2)*log(-((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)^3*sinh(x) + 6*(b^2 + 2*b*c + c^2)*cosh(x)^2*sinh(x)^2 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*sqrt(2)*sqrt(1/2)*(2*(b^2 - c^2)*cosh(x)^2 + 4*(b^2 - c^2)*cosh(x)*sinh(x) + 2*(b^2 - c^2)*sinh(x)^2 + ((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 + (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 + b - c)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/(b^2 - c^2)^(1/4) - b^2 + 2*b*c - c^2 + 2*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))*sqrt(b^2 - c^2))/((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*(b^2 - c^2)*cosh(x)^2 + 2*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 - b^2 + c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - (b^2 - c^2)*cosh(x))*sinh(x)))/(b^2 - c^2)^(1/4), 2*sqrt(2)*sqrt(-1/sqrt(b^2 - c^2))*arctan(sqrt(2)*sqrt(1/2)*(sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))*sqrt(-1/sqrt(b^2 - c^2))/((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - b + c))]","B",0
778,1,2137,0,0.590227," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} + 6 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{6} - 3 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} - \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} - 3 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, \sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 6 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2} + \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(\sqrt{2} {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} - 2 \, \sqrt{2} {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + \sqrt{2} {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - \sqrt{2} {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)}\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, \sqrt{\frac{1}{2}} {\left(\sqrt{2} {\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} {\left(b + c\right)} \sinh\left(x\right)^{3} + \sqrt{2} {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, \sqrt{2} {\left(b + c\right)} \cosh\left(x\right)^{2} + \sqrt{2} {\left(b - c\right)}\right)} \sinh\left(x\right) + 2 \, {\left(\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2}\right)} \sqrt{b^{2} - c^{2}}\right)} {\left(b^{2} - c^{2}\right)}^{\frac{1}{4}} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}} - b^{2} + 2 \, b c - c^{2} + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - b^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) + 4 \, \sqrt{\frac{1}{2}} {\left(4 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + 16 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 4 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3} + 6 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(2 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{5} + 6 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} - 3 \, c^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(b^{2} - 2 \, b c + c^{2}\right)} \cosh\left(x\right) + {\left(5 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2}\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{4 \, {\left({\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \sinh\left(x\right)^{6} - b^{5} + 3 \, b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + 3 \, b c^{4} - c^{5} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} + 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/4*((sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 + 6*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^5 + sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^6 - 3*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 3*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2 - sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3))*sinh(x)^4 + 4*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 - 3*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^3 + 3*sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 3*(5*sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 6*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2 + sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3))*sinh(x)^2 + 6*(sqrt(2)*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 - 2*sqrt(2)*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + sqrt(2)*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) - sqrt(2)*(b^3 - 3*b^2*c + 3*b*c^2 - c^3))*(b^2 - c^2)^(1/4)*log(-((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)^3*sinh(x) + 6*(b^2 + 2*b*c + c^2)*cosh(x)^2*sinh(x)^2 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*sqrt(1/2)*(sqrt(2)*(b + c)*cosh(x)^3 + 3*sqrt(2)*(b + c)*cosh(x)*sinh(x)^2 + sqrt(2)*(b + c)*sinh(x)^3 + sqrt(2)*(b - c)*cosh(x) + (3*sqrt(2)*(b + c)*cosh(x)^2 + sqrt(2)*(b - c))*sinh(x) + 2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2)*sqrt(b^2 - c^2))*(b^2 - c^2)^(1/4)*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x))) - b^2 + 2*b*c - c^2 + 2*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))*sqrt(b^2 - c^2))/((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*(b^2 - c^2)*cosh(x)^2 + 2*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 - b^2 + c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - (b^2 - c^2)*cosh(x))*sinh(x))) + 4*sqrt(1/2)*(4*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + 16*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)*sinh(x)^3 + 4*(b^3 + b^2*c - b*c^2 - c^3)*sinh(x)^4 + 4*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2 + 4*(b^3 - b^2*c - b*c^2 + c^3 + 6*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^2 + 8*(2*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 + (b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x) + ((b^2 + 2*b*c + c^2)*cosh(x)^5 + 5*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^4 + (b^2 + 2*b*c + c^2)*sinh(x)^5 + 6*(b^2 - c^2)*cosh(x)^3 + 2*(5*(b^2 + 2*b*c + c^2)*cosh(x)^2 + 3*b^2 - 3*c^2)*sinh(x)^3 + 2*(5*(b^2 + 2*b*c + c^2)*cosh(x)^3 + 9*(b^2 - c^2)*cosh(x))*sinh(x)^2 + (b^2 - 2*b*c + c^2)*cosh(x) + (5*(b^2 + 2*b*c + c^2)*cosh(x)^4 + 18*(b^2 - c^2)*cosh(x)^2 + b^2 - 2*b*c + c^2)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x))))/((b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^6 + 6*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)*sinh(x)^5 + (b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*sinh(x)^6 - b^5 + 3*b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + 3*b*c^4 - c^5 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^4 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^3 - 3*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x))*sinh(x)^3 + 3*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^2 + 3*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 + 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^4 - 6*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2)*sinh(x)^2 + 6*((b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^5 - 2*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^3 + (b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x))*sinh(x))","B",0
779,1,5675,0,0.691736," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x, algorithm=""fricas"")","-\frac{\frac{3 \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5} - 9 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} - {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5} + 21 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - b^{5} + 5 \, b^{4} c - 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} - 5 \, b c^{4} + c^{5} - 10 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{6} - b^{5} + b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - b c^{4} + c^{5} - 35 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{3} - {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{6} + b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5} + 30 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(b^{5} + 5 \, b^{4} c + 10 \, b^{3} c^{2} + 10 \, b^{2} c^{3} + 5 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(b^{5} + 3 \, b^{4} c + 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} - 3 \, b c^{4} - c^{5}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(b^{5} + b^{4} c - 2 \, b^{3} c^{2} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5}\right)} \cosh\left(x\right)^{3} + {\left(b^{5} - 3 \, b^{4} c + 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} - 3 \, b c^{4} + c^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - b^{2} + 2 \, b c - c^{2} + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} - {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} - b + c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}} + \frac{2 \, {\left(2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(b^{2} - c^{2}\right)} \sinh\left(x\right)^{2} + {\left({\left(b + c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{3} + {\left(b - c\right)} \cosh\left(x\right) + {\left(3 \, {\left(b + c\right)} \cosh\left(x\right)^{2} + b - c\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} - b^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + b^{2} - 2 \, b c + c^{2} + 4 \, {\left({\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{1}{4}}} - 2 \, \sqrt{\frac{1}{2}} {\left(3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{9} + 27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{8} + 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \sinh\left(x\right)^{9} - 36 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{7} - 36 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4} - 3 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{7} + 252 \, {\left({\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{3} - {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 190 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(189 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{4} - 95 \, b^{4} + 190 \, b^{2} c^{2} - 95 \, c^{4} - 378 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 2 \, {\left(189 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{5} - 630 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 36 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(63 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{6} - 315 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{4} - 9 \, b^{4} + 18 \, b^{3} c - 18 \, b c^{3} + 9 \, c^{4} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 4 \, {\left(27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{7} - 189 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{5} - 475 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{3} - 27 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{4} - 4 \, b^{3} c + 6 \, b^{2} c^{2} - 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right) + {\left(27 \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} \cosh\left(x\right)^{8} - 252 \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{6} - 950 \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} \cosh\left(x\right)^{4} + 3 \, b^{4} - 12 \, b^{3} c + 18 \, b^{2} c^{2} - 12 \, b c^{3} + 3 \, c^{4} - 108 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right) + 4 \, {\left({\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \sinh\left(x\right)^{8} - 33 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{6} - {\left(33 \, b^{3} + 33 \, b^{2} c - 33 \, b c^{2} - 33 \, c^{3} - 28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 2 \, {\left(28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} - 99 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 33 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + {\left(70 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} - 33 \, b^{3} + 33 \, b^{2} c + 33 \, b c^{2} - 33 \, c^{3} - 495 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(14 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{5} - 165 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{3} - 33 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \cosh\left(x\right)^{2} + {\left(28 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{6} - 495 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3} - 198 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(4 \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} \cosh\left(x\right)^{7} - 99 \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \cosh\left(x\right)^{5} - 66 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{b^{2} - c^{2}}\right)} \sqrt{\frac{{\left(b + c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b + c\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{b^{2} - c^{2}} {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} + b - c}{\cosh\left(x\right) + \sinh\left(x\right)}}}{16 \, {\left({\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7} - 9 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - b^{7} + 5 \, b^{6} c - 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} + 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} + 5 \, b c^{6} - c^{7} + 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7} + 21 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 10 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7} - 21 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{4} - 15 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{3} - {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{8} + b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7} - 28 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(b^{7} + 5 \, b^{6} c + 9 \, b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - 9 \, b^{2} c^{5} - 5 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(b^{7} + 3 \, b^{6} c + b^{5} c^{2} - 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} + b^{2} c^{5} + 3 \, b c^{6} + c^{7}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(b^{7} + b^{6} c - 3 \, b^{5} c^{2} - 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} + 3 \, b^{2} c^{5} - b c^{6} - c^{7}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(b^{7} - b^{6} c - 3 \, b^{5} c^{2} + 3 \, b^{4} c^{3} + 3 \, b^{3} c^{4} - 3 \, b^{2} c^{5} - b c^{6} + c^{7}\right)} \cosh\left(x\right)^{3} + {\left(b^{7} - 3 \, b^{6} c + b^{5} c^{2} + 5 \, b^{4} c^{3} - 5 \, b^{3} c^{4} - b^{2} c^{5} + 3 \, b c^{6} - c^{7}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/16*(3*sqrt(1/2)*((b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^10 + 10*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)*sinh(x)^9 + (b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*sinh(x)^10 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^8 - 5*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5 - 9*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^2)*sinh(x)^8 + 40*(3*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^3 - (b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x))*sinh(x)^7 + 10*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^6 + 10*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5 + 21*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^4 - 14*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^2)*sinh(x)^6 + 4*(63*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^5 - 70*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^3 + 15*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x))*sinh(x)^5 - b^5 + 5*b^4*c - 10*b^3*c^2 + 10*b^2*c^3 - 5*b*c^4 + c^5 - 10*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^4 + 10*(21*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^6 - b^5 + b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - b*c^4 + c^5 - 35*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^4 + 15*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^2)*sinh(x)^4 + 40*(3*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^7 - 7*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^5 + 5*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^3 - (b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x))*sinh(x)^3 + 5*(b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x)^2 + 5*(9*(b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^8 - 28*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^6 + b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5 + 30*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^4 - 12*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^2)*sinh(x)^2 + 10*((b^5 + 5*b^4*c + 10*b^3*c^2 + 10*b^2*c^3 + 5*b*c^4 + c^5)*cosh(x)^9 - 4*(b^5 + 3*b^4*c + 2*b^3*c^2 - 2*b^2*c^3 - 3*b*c^4 - c^5)*cosh(x)^7 + 6*(b^5 + b^4*c - 2*b^3*c^2 - 2*b^2*c^3 + b*c^4 + c^5)*cosh(x)^5 - 4*(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5)*cosh(x)^3 + (b^5 - 3*b^4*c + 2*b^3*c^2 + 2*b^2*c^3 - 3*b*c^4 + c^5)*cosh(x))*sinh(x))*log(-((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)^3*sinh(x) + 6*(b^2 + 2*b*c + c^2)*cosh(x)^2*sinh(x)^2 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - b^2 + 2*b*c - c^2 + 2*((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 - (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 - b + c)*sinh(x))*sqrt(b^2 - c^2) + 2*(2*(b^2 - c^2)*cosh(x)^2 + 4*(b^2 - c^2)*cosh(x)*sinh(x) + 2*(b^2 - c^2)*sinh(x)^2 + ((b + c)*cosh(x)^3 + 3*(b + c)*cosh(x)*sinh(x)^2 + (b + c)*sinh(x)^3 + (b - c)*cosh(x) + (3*(b + c)*cosh(x)^2 + b - c)*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x)))/(b^2 - c^2)^(1/4))/((b^2 + 2*b*c + c^2)*cosh(x)^4 + 4*(b^2 + 2*b*c + c^2)*cosh(x)*sinh(x)^3 + (b^2 + 2*b*c + c^2)*sinh(x)^4 - 2*(b^2 - c^2)*cosh(x)^2 + 2*(3*(b^2 + 2*b*c + c^2)*cosh(x)^2 - b^2 + c^2)*sinh(x)^2 + b^2 - 2*b*c + c^2 + 4*((b^2 + 2*b*c + c^2)*cosh(x)^3 - (b^2 - c^2)*cosh(x))*sinh(x)))/(b^2 - c^2)^(1/4) - 2*sqrt(1/2)*(3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^9 + 27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)*sinh(x)^8 + 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*sinh(x)^9 - 36*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^7 - 36*(b^4 + 2*b^3*c - 2*b*c^3 - c^4 - 3*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^2)*sinh(x)^7 + 252*((b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^3 - (b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x))*sinh(x)^6 - 190*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^5 + 2*(189*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^4 - 95*b^4 + 190*b^2*c^2 - 95*c^4 - 378*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x)^5 + 2*(189*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^5 - 630*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^3 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x))*sinh(x)^4 - 36*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x)^3 + 4*(63*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^6 - 315*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^4 - 9*b^4 + 18*b^3*c - 18*b*c^3 + 9*c^4 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^2)*sinh(x)^3 + 4*(27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^7 - 189*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^5 - 475*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^3 - 27*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x))*sinh(x)^2 + 3*(b^4 - 4*b^3*c + 6*b^2*c^2 - 4*b*c^3 + c^4)*cosh(x) + (27*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*cosh(x)^8 - 252*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*cosh(x)^6 - 950*(b^4 - 2*b^2*c^2 + c^4)*cosh(x)^4 + 3*b^4 - 12*b^3*c + 18*b^2*c^2 - 12*b*c^3 + 3*c^4 - 108*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*cosh(x)^2)*sinh(x) + 4*((b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^8 + 8*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)*sinh(x)^7 + (b^3 + 3*b^2*c + 3*b*c^2 + c^3)*sinh(x)^8 - 33*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^6 - (33*b^3 + 33*b^2*c - 33*b*c^2 - 33*c^3 - 28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^2)*sinh(x)^6 + 2*(28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^3 - 99*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x))*sinh(x)^5 - 33*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^4 + (70*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^4 - 33*b^3 + 33*b^2*c + 33*b*c^2 - 33*c^3 - 495*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^2)*sinh(x)^4 + 4*(14*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^5 - 165*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^3 - 33*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x))*sinh(x)^3 + (b^3 - 3*b^2*c + 3*b*c^2 - c^3)*cosh(x)^2 + (28*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^6 - 495*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3 - 198*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 2*(4*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*cosh(x)^7 - 99*(b^3 + b^2*c - b*c^2 - c^3)*cosh(x)^5 - 66*(b^3 - b^2*c - b*c^2 + c^3)*cosh(x)^3 + (b^3 - 3*b^2*c + 3*b*c^2 - c^3)*cosh(x))*sinh(x))*sqrt(b^2 - c^2))*sqrt(((b + c)*cosh(x)^2 + 2*(b + c)*cosh(x)*sinh(x) + (b + c)*sinh(x)^2 - 2*sqrt(b^2 - c^2)*(cosh(x) + sinh(x)) + b - c)/(cosh(x) + sinh(x))))/((b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^10 + 10*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)*sinh(x)^9 + (b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*sinh(x)^10 - 5*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^8 - 5*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7 - 9*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^2)*sinh(x)^8 + 40*(3*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^3 - (b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x))*sinh(x)^7 - b^7 + 5*b^6*c - 9*b^5*c^2 + 5*b^4*c^3 + 5*b^3*c^4 - 9*b^2*c^5 + 5*b*c^6 - c^7 + 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^6 + 10*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7 + 21*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^4 - 14*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^2)*sinh(x)^6 + 4*(63*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^5 - 70*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^3 + 15*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x))*sinh(x)^5 - 10*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^4 - 10*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7 - 21*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^6 + 35*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^4 - 15*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^2)*sinh(x)^4 + 40*(3*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^7 - 7*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^5 + 5*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^3 - (b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x))*sinh(x)^3 + 5*(b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7)*cosh(x)^2 + 5*(9*(b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^8 + b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7 - 28*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^6 + 30*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^4 - 12*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^2)*sinh(x)^2 + 10*((b^7 + 5*b^6*c + 9*b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - 9*b^2*c^5 - 5*b*c^6 - c^7)*cosh(x)^9 - 4*(b^7 + 3*b^6*c + b^5*c^2 - 5*b^4*c^3 - 5*b^3*c^4 + b^2*c^5 + 3*b*c^6 + c^7)*cosh(x)^7 + 6*(b^7 + b^6*c - 3*b^5*c^2 - 3*b^4*c^3 + 3*b^3*c^4 + 3*b^2*c^5 - b*c^6 - c^7)*cosh(x)^5 - 4*(b^7 - b^6*c - 3*b^5*c^2 + 3*b^4*c^3 + 3*b^3*c^4 - 3*b^2*c^5 - b*c^6 + c^7)*cosh(x)^3 + (b^7 - 3*b^6*c + b^5*c^2 + 5*b^4*c^3 - 5*b^3*c^4 - b^2*c^5 + 3*b*c^6 - c^7)*cosh(x))*sinh(x))","B",0
780,1,429,0,0.456333," ","integrate(1/(a+c*sech(x)+b*tanh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{-a^{2} + b^{2} + c^{2}} a c \log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} - a^{2} + b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{-a^{2} + b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) + a - b}\right) + {\left(a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a + b\right)} c^{2}\right)} x - {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{2} - b^{2}\right)} c^{2}}, \frac{2 \, \sqrt{a^{2} - b^{2} - c^{2}} a c \arctan\left(-\frac{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right) + {\left(a^{3} + a^{2} b - a b^{2} - b^{3} - {\left(a + b\right)} c^{2}\right)} x - {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{2} - b^{2}\right)} c^{2}}\right]"," ",0,"[(sqrt(-a^2 + b^2 + c^2)*a*c*log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 - a^2 + b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) - 2*sqrt(-a^2 + b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) + a - b)) + (a^3 + a^2*b - a*b^2 - b^3 - (a + b)*c^2)*x - (a^2*b - b^3 - b*c^2)*log(2*(a*cosh(x) + b*sinh(x) + c)/(cosh(x) - sinh(x))))/(a^4 - 2*a^2*b^2 + b^4 - (a^2 - b^2)*c^2), (2*sqrt(a^2 - b^2 - c^2)*a*c*arctan(-((a + b)*cosh(x) + (a + b)*sinh(x) + c)/sqrt(a^2 - b^2 - c^2)) + (a^3 + a^2*b - a*b^2 - b^3 - (a + b)*c^2)*x - (a^2*b - b^3 - b*c^2)*log(2*(a*cosh(x) + b*sinh(x) + c)/(cosh(x) - sinh(x))))/(a^4 - 2*a^2*b^2 + b^4 - (a^2 - b^2)*c^2)]","A",0
781,1,438,0,0.459835," ","integrate(1/(a+b*coth(x)+c*csch(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{a^{2} - b^{2} + c^{2}} a c \log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) - a + b}\right) - {\left(a^{3} + a^{2} b - a b^{2} - b^{3} + {\left(a + b\right)} c^{2}\right)} x + {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} + {\left(a^{2} - b^{2}\right)} c^{2}}, -\frac{2 \, \sqrt{-a^{2} + b^{2} - c^{2}} a c \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(a^{3} + a^{2} b - a b^{2} - b^{3} + {\left(a + b\right)} c^{2}\right)} x + {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4} + {\left(a^{2} - b^{2}\right)} c^{2}}\right]"," ",0,"[-(sqrt(a^2 - b^2 + c^2)*a*c*log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 + a^2 - b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) - a + b)) - (a^3 + a^2*b - a*b^2 - b^3 + (a + b)*c^2)*x + (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + a*sinh(x) + c)/(cosh(x) - sinh(x))))/(a^4 - 2*a^2*b^2 + b^4 + (a^2 - b^2)*c^2), -(2*sqrt(-a^2 + b^2 - c^2)*a*c*arctan(sqrt(-a^2 + b^2 - c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c)/(a^2 - b^2 + c^2)) - (a^3 + a^2*b - a*b^2 - b^3 + (a + b)*c^2)*x + (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + a*sinh(x) + c)/(cosh(x) - sinh(x))))/(a^4 - 2*a^2*b^2 + b^4 + (a^2 - b^2)*c^2)]","A",0
782,1,455,0,0.464545," ","integrate(sinh(x)/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{a^{2} - b^{2} + c^{2}} a c \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + {\left(a^{2} b - b^{3} + b c^{2} + c^{3} + {\left(a^{2} - b^{2}\right)} c\right)} x - {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, \frac{2 \, \sqrt{-a^{2} + b^{2} - c^{2}} a c \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(a^{2} b - b^{3} + b c^{2} + c^{3} + {\left(a^{2} - b^{2}\right)} c\right)} x + {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[-(sqrt(a^2 - b^2 + c^2)*a*c*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + (a^2*b - b^3 + b*c^2 + c^3 + (a^2 - b^2)*c)*x - (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), (2*sqrt(-a^2 + b^2 - c^2)*a*c*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (a^2*b - b^3 + b*c^2 + c^3 + (a^2 - b^2)*c)*x + (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","A",0
783,1,19,0,0.408049," ","integrate(sinh(x)/(1+cosh(x)+sinh(x)),x, algorithm=""fricas"")","\frac{x \cosh\left(x\right) + x \sinh\left(x\right) + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/2*(x*cosh(x) + x*sinh(x) + 1)/(cosh(x) + sinh(x))","A",0
784,1,234,0,0.435153," ","integrate(sech(x)/(a+c*sech(x)+b*tanh(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2} + c^{2}} \log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} - a^{2} + b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{-a^{2} + b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) + a - b}\right)}{a^{2} - b^{2} - c^{2}}, -\frac{2 \, \arctan\left(-\frac{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right)}{\sqrt{a^{2} - b^{2} - c^{2}}}\right]"," ",0,"[-sqrt(-a^2 + b^2 + c^2)*log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 - a^2 + b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) - 2*sqrt(-a^2 + b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) + a - b))/(a^2 - b^2 - c^2), -2*arctan(-((a + b)*cosh(x) + (a + b)*sinh(x) + c)/sqrt(a^2 - b^2 - c^2))/sqrt(a^2 - b^2 - c^2)]","A",0
785,1,486,0,1.535497," ","integrate(sech(x)^2/(a+c*sech(x)+b*tanh(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2} + c^{2}} a c \log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} - a^{2} + b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{-a^{2} + b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) + a - b}\right) + 2 \, {\left(c^{3} - {\left(a^{2} - b^{2}\right)} c\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} + {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, \frac{2 \, \sqrt{a^{2} - b^{2} - c^{2}} a c \arctan\left(-\frac{{\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right) - 2 \, {\left(c^{3} - {\left(a^{2} - b^{2}\right)} c\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{2} b - b^{3} - b c^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} + {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[-(sqrt(-a^2 + b^2 + c^2)*a*c*log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 - a^2 + b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) + 2*sqrt(-a^2 + b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) + a - b)) + 2*(c^3 - (a^2 - b^2)*c)*arctan(cosh(x) + sinh(x)) - (a^2*b - b^3 - b*c^2)*log(2*(a*cosh(x) + b*sinh(x) + c)/(cosh(x) - sinh(x))) + (a^2*b - b^3 - b*c^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 + (a^2 - 2*b^2)*c^2), (2*sqrt(a^2 - b^2 - c^2)*a*c*arctan(-((a + b)*cosh(x) + (a + b)*sinh(x) + c)/sqrt(a^2 - b^2 - c^2)) - 2*(c^3 - (a^2 - b^2)*c)*arctan(cosh(x) + sinh(x)) + (a^2*b - b^3 - b*c^2)*log(2*(a*cosh(x) + b*sinh(x) + c)/(cosh(x) - sinh(x))) - (a^2*b - b^3 - b*c^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 + (a^2 - 2*b^2)*c^2)]","A",0
786,1,17,0,0.405108," ","integrate(csch(x)/(2+2*coth(x)+3*csch(x)),x, algorithm=""fricas"")","\frac{1}{3} \, x - \frac{1}{3} \, \log\left(2 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right) + 3\right)"," ",0,"1/3*x - 1/3*log(2*cosh(x) + 2*sinh(x) + 3)","A",0
787,1,244,0,0.454448," ","integrate(csch(x)/(a+b*coth(x)+c*csch(x)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) - a + b}\right)}{\sqrt{a^{2} - b^{2} + c^{2}}}, \frac{2 \, \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{a^{2} - b^{2} + c^{2}}\right)}{a^{2} - b^{2} + c^{2}}\right]"," ",0,"[log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 + a^2 - b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) - a + b))/sqrt(a^2 - b^2 + c^2), 2*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c)/(a^2 - b^2 + c^2))/(a^2 - b^2 + c^2)]","A",0
788,1,546,0,1.546931," ","integrate(csch(x)^2/(a+b*coth(x)+c*csch(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{a^{2} - b^{2} + c^{2}} a c \log\left(\frac{2 \, {\left(a + b\right)} c \cosh\left(x\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 2 \, c^{2} + 2 \, {\left({\left(a + b\right)} c + {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{{\left(a + b\right)} \cosh\left(x\right)^{2} + {\left(a + b\right)} \sinh\left(x\right)^{2} + 2 \, c \cosh\left(x\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(x\right) + c\right)} \sinh\left(x\right) - a + b}\right) + {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{2} b - b^{3} + b c^{2} + c^{3} + {\left(a^{2} - b^{2}\right)} c\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a^{2} b - b^{3} + b c^{2} - c^{3} - {\left(a^{2} - b^{2}\right)} c\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, \frac{2 \, \sqrt{-a^{2} + b^{2} - c^{2}} a c \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(a + b\right)} \cosh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right) + c\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(a^{2} b - b^{3} + b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a \sinh\left(x\right) + c\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} b - b^{3} + b c^{2} + c^{3} + {\left(a^{2} - b^{2}\right)} c\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a^{2} b - b^{3} + b c^{2} - c^{3} - {\left(a^{2} - b^{2}\right)} c\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[-(sqrt(a^2 - b^2 + c^2)*a*c*log((2*(a + b)*c*cosh(x) + (a^2 + 2*a*b + b^2)*cosh(x)^2 + (a^2 + 2*a*b + b^2)*sinh(x)^2 + a^2 - b^2 + 2*c^2 + 2*((a + b)*c + (a^2 + 2*a*b + b^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c))/((a + b)*cosh(x)^2 + (a + b)*sinh(x)^2 + 2*c*cosh(x) + 2*((a + b)*cosh(x) + c)*sinh(x) - a + b)) + (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + a*sinh(x) + c)/(cosh(x) - sinh(x))) - (a^2*b - b^3 + b*c^2 + c^3 + (a^2 - b^2)*c)*log(cosh(x) + sinh(x) + 1) - (a^2*b - b^3 + b*c^2 - c^3 - (a^2 - b^2)*c)*log(cosh(x) + sinh(x) - 1))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), (2*sqrt(-a^2 + b^2 - c^2)*a*c*arctan(sqrt(-a^2 + b^2 - c^2)*((a + b)*cosh(x) + (a + b)*sinh(x) + c)/(a^2 - b^2 + c^2)) - (a^2*b - b^3 + b*c^2)*log(2*(b*cosh(x) + a*sinh(x) + c)/(cosh(x) - sinh(x))) + (a^2*b - b^3 + b*c^2 + c^3 + (a^2 - b^2)*c)*log(cosh(x) + sinh(x) + 1) + (a^2*b - b^3 + b*c^2 - c^3 - (a^2 - b^2)*c)*log(cosh(x) + sinh(x) - 1))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","B",0
789,1,505,0,0.481147," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{{\left(A b^{2} + C a c - A c^{2}\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + {\left(C a^{2} b - C b^{3} + C b c^{2} + C c^{3} + {\left(C a^{2} - C b^{2}\right)} c\right)} x - {\left(C a^{2} b - C b^{3} + C b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, \frac{2 \, {\left(A b^{2} + C a c - A c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(C a^{2} b - C b^{3} + C b c^{2} + C c^{3} + {\left(C a^{2} - C b^{2}\right)} c\right)} x + {\left(C a^{2} b - C b^{3} + C b c^{2}\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[-((A*b^2 + C*a*c - A*c^2)*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + (C*a^2*b - C*b^3 + C*b*c^2 + C*c^3 + (C*a^2 - C*b^2)*c)*x - (C*a^2*b - C*b^3 + C*b*c^2)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), (2*(A*b^2 + C*a*c - A*c^2)*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (C*a^2*b - C*b^3 + C*b*c^2 + C*c^3 + (C*a^2 - C*b^2)*c)*x + (C*a^2*b - C*b^3 + C*b*c^2)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","A",0
790,1,2211,0,0.509175," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[\frac{2 \, A a^{2} b^{2} - 2 \, A b^{4} + 2 \, C a c^{3} - 2 \, A c^{4} - 2 \, {\left(A a^{2} - 2 \, A b^{2}\right)} c^{2} + {\left(A a b^{2} + C b^{2} c - A a c^{2} - C c^{3} + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b + C a c^{2} + {\left(A a^{2} + C a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b + C a c^{2} + {\left(A a^{2} + C a b\right)} c + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + 2 \, {\left(C a^{3} - C a b^{2}\right)} c - 2 \, {\left(C a^{4} - A a^{3} b - 2 \, C a^{2} b^{2} + A a b^{3} + C b^{4} - {\left(A a + C b\right)} c^{3} + {\left(C a^{2} - A a b - C b^{2}\right)} c^{2} - {\left(A a^{3} + C a^{2} b - A a b^{2} - C b^{3}\right)} c\right)} \cosh\left(x\right) - 2 \, {\left(C a^{4} - A a^{3} b - 2 \, C a^{2} b^{2} + A a b^{3} + C b^{4} - {\left(A a + C b\right)} c^{3} + {\left(C a^{2} - A a b - C b^{2}\right)} c^{2} - {\left(A a^{3} + C a^{2} b - A a b^{2} - C b^{3}\right)} c\right)} \sinh\left(x\right)}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, \frac{2 \, {\left(A a^{2} b^{2} - A b^{4} + C a c^{3} - A c^{4} - {\left(A a^{2} - 2 \, A b^{2}\right)} c^{2} + {\left(A a b^{2} + C b^{2} c - A a c^{2} - C c^{3} + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b + C a c^{2} + {\left(A a^{2} + C a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b + C a c^{2} + {\left(A a^{2} + C a b\right)} c + {\left(A a b^{2} + C c^{3} + {\left(A a + 2 \, C b\right)} c^{2} + {\left(2 \, A a b + C b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) + {\left(C a^{3} - C a b^{2}\right)} c - {\left(C a^{4} - A a^{3} b - 2 \, C a^{2} b^{2} + A a b^{3} + C b^{4} - {\left(A a + C b\right)} c^{3} + {\left(C a^{2} - A a b - C b^{2}\right)} c^{2} - {\left(A a^{3} + C a^{2} b - A a b^{2} - C b^{3}\right)} c\right)} \cosh\left(x\right) - {\left(C a^{4} - A a^{3} b - 2 \, C a^{2} b^{2} + A a b^{3} + C b^{4} - {\left(A a + C b\right)} c^{3} + {\left(C a^{2} - A a b - C b^{2}\right)} c^{2} - {\left(A a^{3} + C a^{2} b - A a b^{2} - C b^{3}\right)} c\right)} \sinh\left(x\right)\right)}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[(2*A*a^2*b^2 - 2*A*b^4 + 2*C*a*c^3 - 2*A*c^4 - 2*(A*a^2 - 2*A*b^2)*c^2 + (A*a*b^2 + C*b^2*c - A*a*c^2 - C*c^3 + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*cosh(x)^2 + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b + C*a*c^2 + (A*a^2 + C*a*b)*c)*cosh(x) + 2*(A*a^2*b + C*a*c^2 + (A*a^2 + C*a*b)*c + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + 2*(C*a^3 - C*a*b^2)*c - 2*(C*a^4 - A*a^3*b - 2*C*a^2*b^2 + A*a*b^3 + C*b^4 - (A*a + C*b)*c^3 + (C*a^2 - A*a*b - C*b^2)*c^2 - (A*a^3 + C*a^2*b - A*a*b^2 - C*b^3)*c)*cosh(x) - 2*(C*a^4 - A*a^3*b - 2*C*a^2*b^2 + A*a*b^3 + C*b^4 - (A*a + C*b)*c^3 + (C*a^2 - A*a*b - C*b^2)*c^2 - (A*a^3 + C*a^2*b - A*a*b^2 - C*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x)), 2*(A*a^2*b^2 - A*b^4 + C*a*c^3 - A*c^4 - (A*a^2 - 2*A*b^2)*c^2 + (A*a*b^2 + C*b^2*c - A*a*c^2 - C*c^3 + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*cosh(x)^2 + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b + C*a*c^2 + (A*a^2 + C*a*b)*c)*cosh(x) + 2*(A*a^2*b + C*a*c^2 + (A*a^2 + C*a*b)*c + (A*a*b^2 + C*c^3 + (A*a + 2*C*b)*c^2 + (2*A*a*b + C*b^2)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) + (C*a^3 - C*a*b^2)*c - (C*a^4 - A*a^3*b - 2*C*a^2*b^2 + A*a*b^3 + C*b^4 - (A*a + C*b)*c^3 + (C*a^2 - A*a*b - C*b^2)*c^2 - (A*a^3 + C*a^2*b - A*a*b^2 - C*b^3)*c)*cosh(x) - (C*a^4 - A*a^3*b - 2*C*a^2*b^2 + A*a*b^3 + C*b^4 - (A*a + C*b)*c^3 + (C*a^2 - A*a*b - C*b^2)*c^2 - (A*a^3 + C*a^2*b - A*a*b^2 - C*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x))]","B",0
791,1,12285,0,0.682039," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[\frac{6 \, A a^{3} b^{3} - 6 \, A a b^{5} + 4 \, C c^{6} + 2 \, {\left(3 \, A a - 2 \, C b\right)} c^{5} + 2 \, {\left(C a^{2} - 3 \, A a b - 4 \, C b^{2}\right)} c^{4} + 2 \, {\left(3 \, A a^{3} - C a^{2} b - 6 \, A a b^{2} + 4 \, C b^{3}\right)} c^{3} + 2 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{3} + 2 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} - 2 \, {\left(C a^{4} + 3 \, A a^{3} b + C a^{2} b^{2} - 6 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 2 \, {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c - 3 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + {\left(3 \, C a + A b\right)} c^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b + 3 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 2 \, {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, C a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} - 2 \, {\left(A a^{3} + A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - 2 \, {\left(A a^{3} + A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + 2 \, {\left(C a^{4} b - 3 \, A a^{3} b^{2} + C a^{2} b^{3} + 3 \, A a b^{4} - 2 \, C b^{5}\right)} c + 2 \, {\left(10 \, A a^{4} b^{2} - 11 \, A a^{2} b^{4} + A b^{6} - 5 \, C a c^{5} - A c^{6} - {\left(11 \, A a^{2} - 3 \, A b^{2}\right)} c^{4} - {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(10 \, A a^{4} - 22 \, A a^{2} b^{2} + 3 \, A b^{4}\right)} c^{2} + {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(10 \, A a^{4} b^{2} - 11 \, A a^{2} b^{4} + A b^{6} - 5 \, C a c^{5} - A c^{6} - {\left(11 \, A a^{2} - 3 \, A b^{2}\right)} c^{4} - {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(10 \, A a^{4} - 22 \, A a^{2} b^{2} + 3 \, A b^{4}\right)} c^{2} + 3 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c - 2 \, {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c\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} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{3 \, A a^{3} b^{3} - 3 \, A a b^{5} + 2 \, C c^{6} + {\left(3 \, A a - 2 \, C b\right)} c^{5} + {\left(C a^{2} - 3 \, A a b - 4 \, C b^{2}\right)} c^{4} + {\left(3 \, A a^{3} - C a^{2} b - 6 \, A a b^{2} + 4 \, C b^{3}\right)} c^{3} + {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{3} + {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} - {\left(C a^{4} + 3 \, A a^{3} b + C a^{2} b^{2} - 6 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c - 3 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + {\left(3 \, C a + A b\right)} c^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b + 3 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 2 \, {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, C a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} - 2 \, {\left(A a^{3} + A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} + {\left(2 \, A a^{2} b^{3} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} + 9 \, C a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b + 9 \, C a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} + C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - 2 \, {\left(A a^{3} + A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + 2 \, {\left(A a^{3} + 3 \, C a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b + 3 \, C a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} b + 4 \, A a^{2} b^{3} + A b^{5} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} + 3 \, C a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, C a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} + 6 \, C a^{3} b + 4 \, A a^{2} b^{2} + 3 \, C a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) + {\left(C a^{4} b - 3 \, A a^{3} b^{2} + C a^{2} b^{3} + 3 \, A a b^{4} - 2 \, C b^{5}\right)} c + {\left(10 \, A a^{4} b^{2} - 11 \, A a^{2} b^{4} + A b^{6} - 5 \, C a c^{5} - A c^{6} - {\left(11 \, A a^{2} - 3 \, A b^{2}\right)} c^{4} - {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(10 \, A a^{4} - 22 \, A a^{2} b^{2} + 3 \, A b^{4}\right)} c^{2} + {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\right)} \cosh\left(x\right) + {\left(10 \, A a^{4} b^{2} - 11 \, A a^{2} b^{4} + A b^{6} - 5 \, C a c^{5} - A c^{6} - {\left(11 \, A a^{2} - 3 \, A b^{2}\right)} c^{4} - {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(10 \, A a^{4} - 22 \, A a^{2} b^{2} + 3 \, A b^{4}\right)} c^{2} + 3 \, {\left(2 \, A a^{4} b^{2} - A a^{2} b^{4} - A b^{6} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} + 6 \, C a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} + 6 \, C a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b + 3 \, C a^{3} b^{2} - 2 \, A a^{2} b^{3} - 3 \, C a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c - 2 \, {\left(2 \, C a^{6} - 6 \, A a^{5} b - 6 \, C a^{4} b^{2} + 3 \, A a^{3} b^{3} + 6 \, C a^{2} b^{4} + 3 \, A a b^{5} - 2 \, C b^{6} + 3 \, A a c^{5} + 2 \, C c^{6} - 3 \, {\left(C a^{2} - A a b + 2 \, C b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} + 3 \, C a^{2} b + 2 \, A a b^{2}\right)} c^{3} - 3 \, {\left(C a^{4} + A a^{3} b + C a^{2} b^{2} + 2 \, A a b^{3} - 2 \, C b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} + 3 \, C a^{4} b - A a^{3} b^{2} - 3 \, C a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[1/2*(6*A*a^3*b^3 - 6*A*a*b^5 + 4*C*c^6 + 2*(3*A*a - 2*C*b)*c^5 + 2*(C*a^2 - 3*A*a*b - 4*C*b^2)*c^4 + 2*(3*A*a^3 - C*a^2*b - 6*A*a*b^2 + 4*C*b^3)*c^3 + 2*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x)^3 + 2*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*sinh(x)^3 - 2*(C*a^4 + 3*A*a^3*b + C*a^2*b^2 - 6*A*a*b^3 - 2*C*b^4)*c^2 - 2*(2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c)*cosh(x)^2 - 2*(2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c - 3*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^3 + A*b^5 - A*c^5 + (3*C*a + A*b)*c^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*C*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b + 3*C*a*b^2 + 2*A*b^3)*c^2 + 2*(4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c)*cosh(x)^2 + 2*(4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*C*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 - 2*(A*a^3 + A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^3 - 2*(A*a^3 + A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^2 + (4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + 2*(C*a^4*b - 3*A*a^3*b^2 + C*a^2*b^3 + 3*A*a*b^4 - 2*C*b^5)*c + 2*(10*A*a^4*b^2 - 11*A*a^2*b^4 + A*b^6 - 5*C*a*c^5 - A*c^6 - (11*A*a^2 - 3*A*b^2)*c^4 - (C*a^3 - 10*C*a*b^2)*c^3 - (10*A*a^4 - 22*A*a^2*b^2 + 3*A*b^4)*c^2 + (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*cosh(x) + 2*(10*A*a^4*b^2 - 11*A*a^2*b^4 + A*b^6 - 5*C*a*c^5 - A*c^6 - (11*A*a^2 - 3*A*b^2)*c^4 - (C*a^3 - 10*C*a*b^2)*c^3 - (10*A*a^4 - 22*A*a^2*b^2 + 3*A*b^4)*c^2 + 3*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x)^2 + (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c - 2*(2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)), (3*A*a^3*b^3 - 3*A*a*b^5 + 2*C*c^6 + (3*A*a - 2*C*b)*c^5 + (C*a^2 - 3*A*a*b - 4*C*b^2)*c^4 + (3*A*a^3 - C*a^2*b - 6*A*a*b^2 + 4*C*b^3)*c^3 + (2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x)^3 + (2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*sinh(x)^3 - (C*a^4 + 3*A*a^3*b + C*a^2*b^2 - 6*A*a*b^3 - 2*C*b^4)*c^2 - (2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c)*cosh(x)^2 - (2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c - 3*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x))*sinh(x)^2 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + (3*C*a + A*b)*c^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*C*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b + 3*C*a*b^2 + 2*A*b^3)*c^2 + 2*(4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c)*cosh(x)^2 + 2*(4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*C*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 - 2*(A*a^3 + A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 + (2*A*a^2*b^3 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 + 9*C*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b + 9*C*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 + C*a*b^3 + A*b^4)*c)*cosh(x)^3 - 2*(A*a^3 + A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + 2*(A*a^3 + 3*C*a^2*b)*c^2 + (4*A*a^3*b + 3*C*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^2 + (4*A*a^4*b + 4*A*a^2*b^3 + A*b^5 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 + 3*C*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*C*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 + 6*C*a^3*b + 4*A*a^2*b^2 + 3*C*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) + (C*a^4*b - 3*A*a^3*b^2 + C*a^2*b^3 + 3*A*a*b^4 - 2*C*b^5)*c + (10*A*a^4*b^2 - 11*A*a^2*b^4 + A*b^6 - 5*C*a*c^5 - A*c^6 - (11*A*a^2 - 3*A*b^2)*c^4 - (C*a^3 - 10*C*a*b^2)*c^3 - (10*A*a^4 - 22*A*a^2*b^2 + 3*A*b^4)*c^2 + (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*cosh(x) + (10*A*a^4*b^2 - 11*A*a^2*b^4 + A*b^6 - 5*C*a*c^5 - A*c^6 - (11*A*a^2 - 3*A*b^2)*c^4 - (C*a^3 - 10*C*a*b^2)*c^3 - (10*A*a^4 - 22*A*a^2*b^2 + 3*A*b^4)*c^2 + 3*(2*A*a^4*b^2 - A*a^2*b^4 - A*b^6 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 + 6*C*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b + 4*A*b^3)*c^3 + (2*A*a^4 + 6*C*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b + 3*C*a^3*b^2 - 2*A*a^2*b^3 - 3*C*a*b^4 - 2*A*b^5)*c)*cosh(x)^2 + (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c - 2*(2*C*a^6 - 6*A*a^5*b - 6*C*a^4*b^2 + 3*A*a^3*b^3 + 6*C*a^2*b^4 + 3*A*a*b^5 - 2*C*b^6 + 3*A*a*c^5 + 2*C*c^6 - 3*(C*a^2 - A*a*b + 2*C*b^2)*c^4 - 3*(A*a^3 + 3*C*a^2*b + 2*A*a*b^2)*c^3 - 3*(C*a^4 + A*a^3*b + C*a^2*b^2 + 2*A*a*b^3 - 2*C*b^4)*c^2 - 3*(2*A*a^5 + 3*C*a^4*b - A*a^3*b^2 - 3*C*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x))]","B",0
792,1,508,0,0.464017," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[-\frac{{\left(B a b - A b^{2} + A c^{2}\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - {\left(B a^{2} b - B b^{3} + B b c^{2} + B c^{3} + {\left(B a^{2} - B b^{2}\right)} c\right)} x + {\left(B c^{3} + {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, -\frac{2 \, {\left(B a b - A b^{2} + A c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(B a^{2} b - B b^{3} + B b c^{2} + B c^{3} + {\left(B a^{2} - B b^{2}\right)} c\right)} x + {\left(B c^{3} + {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[-((B*a*b - A*b^2 + A*c^2)*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - (B*a^2*b - B*b^3 + B*b*c^2 + B*c^3 + (B*a^2 - B*b^2)*c)*x + (B*c^3 + (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), -(2*(B*a*b - A*b^2 + A*c^2)*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (B*a^2*b - B*b^3 + B*b*c^2 + B*c^3 + (B*a^2 - B*b^2)*c)*x + (B*c^3 + (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","A",0
793,1,2228,0,0.480070," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{3} b - 2 \, A a^{2} b^{2} - 2 \, B a b^{3} + 2 \, A b^{4} + 2 \, A c^{4} + 2 \, {\left(A a^{2} + B a b - 2 \, A b^{2}\right)} c^{2} + {\left(A a b^{2} - B b^{3} - {\left(A a - B b\right)} c^{2} + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a^{2} - B a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a^{2} - B a b\right)} c + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + 2 \, {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3} + B c^{4} - {\left(A a - B b\right)} c^{3} + {\left(2 \, B a^{2} - A a b - B b^{2}\right)} c^{2} - {\left(A a^{3} - B a^{2} b - A a b^{2} + B b^{3}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3} + B c^{4} - {\left(A a - B b\right)} c^{3} + {\left(2 \, B a^{2} - A a b - B b^{2}\right)} c^{2} - {\left(A a^{3} - B a^{2} b - A a b^{2} + B b^{3}\right)} c\right)} \sinh\left(x\right)}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, -\frac{2 \, {\left(B a^{3} b - A a^{2} b^{2} - B a b^{3} + A b^{4} + A c^{4} + {\left(A a^{2} + B a b - 2 \, A b^{2}\right)} c^{2} - {\left(A a b^{2} - B b^{3} - {\left(A a - B b\right)} c^{2} + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a^{2} - B a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + {\left(A a^{2} - B a b\right)} c + {\left(A a b^{2} - B b^{3} + {\left(A a - B b\right)} c^{2} + 2 \, {\left(A a b - B b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) + {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3} + B c^{4} - {\left(A a - B b\right)} c^{3} + {\left(2 \, B a^{2} - A a b - B b^{2}\right)} c^{2} - {\left(A a^{3} - B a^{2} b - A a b^{2} + B b^{3}\right)} c\right)} \cosh\left(x\right) + {\left(B a^{4} - A a^{3} b - B a^{2} b^{2} + A a b^{3} + B c^{4} - {\left(A a - B b\right)} c^{3} + {\left(2 \, B a^{2} - A a b - B b^{2}\right)} c^{2} - {\left(A a^{3} - B a^{2} b - A a b^{2} + B b^{3}\right)} c\right)} \sinh\left(x\right)\right)}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-(2*B*a^3*b - 2*A*a^2*b^2 - 2*B*a*b^3 + 2*A*b^4 + 2*A*c^4 + 2*(A*a^2 + B*a*b - 2*A*b^2)*c^2 + (A*a*b^2 - B*b^3 - (A*a - B*b)*c^2 + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*cosh(x)^2 + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2 + (A*a^2 - B*a*b)*c)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + (A*a^2 - B*a*b)*c + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + 2*(B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3 + B*c^4 - (A*a - B*b)*c^3 + (2*B*a^2 - A*a*b - B*b^2)*c^2 - (A*a^3 - B*a^2*b - A*a*b^2 + B*b^3)*c)*cosh(x) + 2*(B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3 + B*c^4 - (A*a - B*b)*c^3 + (2*B*a^2 - A*a*b - B*b^2)*c^2 - (A*a^3 - B*a^2*b - A*a*b^2 + B*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x)), -2*(B*a^3*b - A*a^2*b^2 - B*a*b^3 + A*b^4 + A*c^4 + (A*a^2 + B*a*b - 2*A*b^2)*c^2 - (A*a*b^2 - B*b^3 - (A*a - B*b)*c^2 + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*cosh(x)^2 + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2 + (A*a^2 - B*a*b)*c)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + (A*a^2 - B*a*b)*c + (A*a*b^2 - B*b^3 + (A*a - B*b)*c^2 + 2*(A*a*b - B*b^2)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) + (B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3 + B*c^4 - (A*a - B*b)*c^3 + (2*B*a^2 - A*a*b - B*b^2)*c^2 - (A*a^3 - B*a^2*b - A*a*b^2 + B*b^3)*c)*cosh(x) + (B*a^4 - A*a^3*b - B*a^2*b^2 + A*a*b^3 + B*c^4 - (A*a - B*b)*c^3 + (2*B*a^2 - A*a*b - B*b^2)*c^2 - (A*a^3 - B*a^2*b - A*a*b^2 + B*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x))]","B",0
794,1,12366,0,0.696011," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[-\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(3 \, A a - 2 \, B b\right)} c^{5} + 2 \, {\left(3 \, A a b - 2 \, B b^{2}\right)} c^{4} - 2 \, {\left(3 \, A a^{3} - B a^{2} b - 6 \, A a b^{2} + 4 \, B b^{3}\right)} c^{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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, A a^{3} b - B a^{2} b^{2} - 6 \, A a b^{3} + 4 \, B b^{4}\right)} c^{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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c\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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c - 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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\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} + A b c^{4} - A c^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + A a c^{4} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + A a c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left(B a^{4} b - 3 \, A a^{3} b^{2} + B a^{2} b^{3} + 3 \, A a b^{4} - 2 \, B b^{5}\right)} c + 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} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2}\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} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - 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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c\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} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{B a^{4} b^{2} - 3 \, A a^{3} b^{3} + B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - {\left(3 \, A a - 2 \, B b\right)} c^{5} + {\left(3 \, A a b - 2 \, B b^{2}\right)} c^{4} - {\left(3 \, A a^{3} - B a^{2} b - 6 \, A a b^{2} + 4 \, B b^{3}\right)} c^{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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\right)} \cosh\left(x\right)^{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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} + {\left(3 \, A a^{3} b - B a^{2} b^{2} - 6 \, A a b^{3} + 4 \, B b^{4}\right)} c^{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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)^{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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c - 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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\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} + A b c^{4} - A c^{5} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + A a c^{4} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + A a c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - 3 \, A b c^{4} - A c^{5} + {\left(2 \, A a^{2} - 3 \, B a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - 2 \, A a b c^{3} - A a c^{4} + {\left(2 \, A a^{3} - 3 \, B a^{2} b\right)} c^{2} + 2 \, {\left(2 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} c\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} + A b c^{4} + A c^{5} - {\left(4 \, A a^{2} - 3 \, B a b + 2 \, A b^{2}\right)} c^{3} - {\left(4 \, A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, B a^{3} b + 4 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(B a^{4} b - 3 \, A a^{3} b^{2} + B a^{2} b^{3} + 3 \, A a b^{4} - 2 \, B b^{5}\right)} c + {\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} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2}\right)} \cosh\left(x\right) + {\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} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - 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} - 2 \, A b c^{5} - A c^{6} + {\left(A a^{2} - 3 \, B a b + A b^{2}\right)} c^{4} + 2 \, {\left(A a^{2} b - 3 \, B a b^{2} + 2 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, B a^{3} b + A b^{4}\right)} c^{2} + 2 \, {\left(2 \, A a^{4} b - 3 \, B a^{3} b^{2} - A a^{2} b^{3} + 3 \, B a b^{4} - A b^{5}\right)} c\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 \, A a c^{5} + 2 \, B c^{6} + 3 \, {\left(2 \, B a^{2} + A a b - 2 \, B b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left(2 \, B a^{4} - A a^{3} b - B a^{2} b^{2} - 2 \, A a b^{3} + 2 \, B b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, B a^{4} b - A a^{3} b^{2} + 3 \, B a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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*(3*A*a - 2*B*b)*c^5 + 2*(3*A*a*b - 2*B*b^2)*c^4 - 2*(3*A*a^3 - B*a^2*b - 6*A*a*b^2 + 4*B*b^3)*c^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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*sinh(x)^3 + 2*(3*A*a^3*b - B*a^2*b^2 - 6*A*a*b^3 + 4*B*b^4)*c^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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c)*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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c - 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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*cosh(x))*sinh(x)^2 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + A*b*c^4 - A*c^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + A*a*c^4 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + A*a*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^3 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*(B*a^4*b - 3*A*a^3*b^2 + B*a^2*b^3 + 3*A*a*b^4 - 2*B*b^5)*c + 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 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2)*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 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - 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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)), -(B*a^4*b^2 - 3*A*a^3*b^3 + B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - (3*A*a - 2*B*b)*c^5 + (3*A*a*b - 2*B*b^2)*c^4 - (3*A*a^3 - B*a^2*b - 6*A*a*b^2 + 4*B*b^3)*c^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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*cosh(x)^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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*sinh(x)^3 + (3*A*a^3*b - B*a^2*b^2 - 6*A*a*b^3 + 4*B*b^4)*c^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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c)*cosh(x)^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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c - 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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 + A*b*c^4 - A*c^5 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + A*a*c^4 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + A*a*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - 3*A*b*c^4 - A*c^5 + (2*A*a^2 - 3*B*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*B*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x)^3 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - 2*A*a*b*c^3 - A*a*c^4 + (2*A*a^3 - 3*B*a^2*b)*c^2 + 2*(2*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*c)*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 + A*b*c^4 + A*c^5 - (4*A*a^2 - 3*B*a*b + 2*A*b^2)*c^3 - (4*A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^2 + (4*A*a^4 - 6*B*a^3*b + 4*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (B*a^4*b - 3*A*a^3*b^2 + B*a^2*b^3 + 3*A*a*b^4 - 2*B*b^5)*c + (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 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2)*cosh(x) + (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 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - 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 - 2*A*b*c^5 - A*c^6 + (A*a^2 - 3*B*a*b + A*b^2)*c^4 + 2*(A*a^2*b - 3*B*a*b^2 + 2*A*b^3)*c^3 + (2*A*a^4 - 3*B*a^3*b + A*b^4)*c^2 + 2*(2*A*a^4*b - 3*B*a^3*b^2 - A*a^2*b^3 + 3*B*a*b^4 - A*b^5)*c)*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*A*a*c^5 + 2*B*c^6 + 3*(2*B*a^2 + A*a*b - 2*B*b^2)*c^4 - 3*(A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^3 + 3*(2*B*a^4 - A*a^3*b - B*a^2*b^2 - 2*A*a*b^3 + 2*B*b^4)*c^2 - 3*(2*A*a^5 - 3*B*a^4*b - A*a^3*b^2 + 3*B*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x))]","B",0
795,1,583,0,0.475233," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(B a b - C a c\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3} + {\left(B - C\right)} b c^{2} + {\left(B - C\right)} c^{3} + {\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} c\right)} x + {\left(C a^{2} b - C b^{3} + C b c^{2} - B c^{3} - {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, -\frac{2 \, {\left(B a b - C a c\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3} + {\left(B - C\right)} b c^{2} + {\left(B - C\right)} c^{3} + {\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} c\right)} x - {\left(C a^{2} b - C b^{3} + C b c^{2} - B c^{3} - {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[((B*a*b - C*a*c)*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + ((B - C)*a^2*b - (B - C)*b^3 + (B - C)*b*c^2 + (B - C)*c^3 + ((B - C)*a^2 - (B - C)*b^2)*c)*x + (C*a^2*b - C*b^3 + C*b*c^2 - B*c^3 - (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), -(2*(B*a*b - C*a*c)*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - ((B - C)*a^2*b - (B - C)*b^3 + (B - C)*b*c^2 + (B - C)*c^3 + ((B - C)*a^2 - (B - C)*b^2)*c)*x - (C*a^2*b - C*b^3 + C*b*c^2 - B*c^3 - (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","A",0
796,1,2119,0,0.485899," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{3} b - 2 \, B a b^{3} + 2 \, B a b c^{2} - 2 \, C a c^{3} + {\left(B b^{3} - C b^{2} c - B b c^{2} + C c^{3} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \cosh\left(x\right)^{2} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(B a b^{2} + {\left(B - C\right)} a b c - C a c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(B a b^{2} + {\left(B - C\right)} a b c - C a c^{2} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left(C a^{3} - C a b^{2}\right)} c + 2 \, {\left({\left(B + C\right)} a^{4} - {\left(B + 2 \, C\right)} a^{2} b^{2} + C b^{4} + {\left(B - C\right)} b c^{3} + B c^{4} + {\left({\left(2 \, B + C\right)} a^{2} - {\left(B + C\right)} b^{2}\right)} c^{2} + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left({\left(B + C\right)} a^{4} - {\left(B + 2 \, C\right)} a^{2} b^{2} + C b^{4} + {\left(B - C\right)} b c^{3} + B c^{4} + {\left({\left(2 \, B + C\right)} a^{2} - {\left(B + C\right)} b^{2}\right)} c^{2} + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3}\right)} c\right)} \sinh\left(x\right)}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, -\frac{2 \, {\left(B a^{3} b - B a b^{3} + B a b c^{2} - C a c^{3} + {\left(B b^{3} - C b^{2} c - B b c^{2} + C c^{3} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \cosh\left(x\right)^{2} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(B a b^{2} + {\left(B - C\right)} a b c - C a c^{2}\right)} \cosh\left(x\right) + 2 \, {\left(B a b^{2} + {\left(B - C\right)} a b c - C a c^{2} + {\left(B b^{3} + {\left(2 \, B - C\right)} b^{2} c + {\left(B - 2 \, C\right)} b c^{2} - C c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(C a^{3} - C a b^{2}\right)} c + {\left({\left(B + C\right)} a^{4} - {\left(B + 2 \, C\right)} a^{2} b^{2} + C b^{4} + {\left(B - C\right)} b c^{3} + B c^{4} + {\left({\left(2 \, B + C\right)} a^{2} - {\left(B + C\right)} b^{2}\right)} c^{2} + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3}\right)} c\right)} \cosh\left(x\right) + {\left({\left(B + C\right)} a^{4} - {\left(B + 2 \, C\right)} a^{2} b^{2} + C b^{4} + {\left(B - C\right)} b c^{3} + B c^{4} + {\left({\left(2 \, B + C\right)} a^{2} - {\left(B + C\right)} b^{2}\right)} c^{2} + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3}\right)} c\right)} \sinh\left(x\right)\right)}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-(2*B*a^3*b - 2*B*a*b^3 + 2*B*a*b*c^2 - 2*C*a*c^3 + (B*b^3 - C*b^2*c - B*b*c^2 + C*c^3 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*cosh(x)^2 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*sinh(x)^2 + 2*(B*a*b^2 + (B - C)*a*b*c - C*a*c^2)*cosh(x) + 2*(B*a*b^2 + (B - C)*a*b*c - C*a*c^2 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*(C*a^3 - C*a*b^2)*c + 2*((B + C)*a^4 - (B + 2*C)*a^2*b^2 + C*b^4 + (B - C)*b*c^3 + B*c^4 + ((2*B + C)*a^2 - (B + C)*b^2)*c^2 + ((B - C)*a^2*b - (B - C)*b^3)*c)*cosh(x) + 2*((B + C)*a^4 - (B + 2*C)*a^2*b^2 + C*b^4 + (B - C)*b*c^3 + B*c^4 + ((2*B + C)*a^2 - (B + C)*b^2)*c^2 + ((B - C)*a^2*b - (B - C)*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x)), -2*(B*a^3*b - B*a*b^3 + B*a*b*c^2 - C*a*c^3 + (B*b^3 - C*b^2*c - B*b*c^2 + C*c^3 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*cosh(x)^2 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*sinh(x)^2 + 2*(B*a*b^2 + (B - C)*a*b*c - C*a*c^2)*cosh(x) + 2*(B*a*b^2 + (B - C)*a*b*c - C*a*c^2 + (B*b^3 + (2*B - C)*b^2*c + (B - 2*C)*b*c^2 - C*c^3)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (C*a^3 - C*a*b^2)*c + ((B + C)*a^4 - (B + 2*C)*a^2*b^2 + C*b^4 + (B - C)*b*c^3 + B*c^4 + ((2*B + C)*a^2 - (B + C)*b^2)*c^2 + ((B - C)*a^2*b - (B - C)*b^3)*c)*cosh(x) + ((B + C)*a^4 - (B + 2*C)*a^2*b^2 + C*b^4 + (B - C)*b*c^3 + B*c^4 + ((2*B + C)*a^2 - (B + C)*b^2)*c^2 + ((B - C)*a^2*b - (B - C)*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x))]","B",0
797,1,10107,0,0.649573," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{4} b^{2} + 2 \, B a^{2} b^{4} - 4 \, B b^{6} + 4 \, {\left(B + C\right)} b c^{5} - 4 \, C c^{6} - 2 \, {\left(C a^{2} + 2 \, {\left(B - 2 \, C\right)} b^{2}\right)} c^{4} + 2 \, {\left({\left(B + C\right)} a^{2} b - 4 \, {\left(B + C\right)} b^{3}\right)} c^{3} + 6 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)^{3} + 6 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \sinh\left(x\right)^{3} + 2 \, {\left(C a^{4} - {\left(B - C\right)} a^{2} b^{2} + 2 \, {\left(2 \, B - C\right)} b^{4}\right)} c^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c + 9 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(B a b^{4} - {\left(B + C\right)} a b^{3} c - {\left(B - C\right)} a b^{2} c^{2} + {\left(B + C\right)} a b c^{3} - C a c^{4} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{4} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + 3 \, {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c + 6 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(B a^{2} b^{3} - C a^{2} b^{2} c - B a^{2} b c^{2} + C a^{2} c^{3}\right)} \cosh\left(x\right) + 4 \, {\left(B a^{2} b^{3} - C a^{2} b^{2} c - B a^{2} b c^{2} + C a^{2} c^{3} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left({\left(B + C\right)} a^{4} b + {\left(B + C\right)} a^{2} b^{3} - 2 \, {\left(B + C\right)} b^{5}\right)} c + 2 \, {\left(4 \, B a^{5} b + B a^{3} b^{3} - 5 \, B a b^{5} - 5 \, B a b c^{4} + 5 \, C a c^{5} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(B a^{3} b - 10 \, B a b^{3}\right)} c^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(4 \, B a^{5} b + B a^{3} b^{3} - 5 \, B a b^{5} - 5 \, B a b c^{4} + 5 \, C a c^{5} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(B a^{3} b - 10 \, B a b^{3}\right)} c^{2} + 9 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c\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} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{B a^{4} b^{2} + B a^{2} b^{4} - 2 \, B b^{6} + 2 \, {\left(B + C\right)} b c^{5} - 2 \, C c^{6} - {\left(C a^{2} + 2 \, {\left(B - 2 \, C\right)} b^{2}\right)} c^{4} + {\left({\left(B + C\right)} a^{2} b - 4 \, {\left(B + C\right)} b^{3}\right)} c^{3} + 3 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \sinh\left(x\right)^{3} + {\left(C a^{4} - {\left(B - C\right)} a^{2} b^{2} + 2 \, {\left(2 \, B - C\right)} b^{4}\right)} c^{2} + {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c + 9 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(B a b^{4} - {\left(B + C\right)} a b^{3} c - {\left(B - C\right)} a b^{2} c^{2} + {\left(B + C\right)} a b c^{3} - C a c^{4} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{4} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + 3 \, {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c + 6 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(B a^{2} b^{3} - C a^{2} b^{2} c - B a^{2} b c^{2} + C a^{2} c^{3}\right)} \cosh\left(x\right) + 4 \, {\left(B a^{2} b^{3} - C a^{2} b^{2} c - B a^{2} b c^{2} + C a^{2} c^{3} + {\left(B a b^{4} + {\left(3 \, B - C\right)} a b^{3} c + 3 \, {\left(B - C\right)} a b^{2} c^{2} + {\left(B - 3 \, C\right)} a b c^{3} - C a c^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(B a^{2} b^{3} + {\left(2 \, B - C\right)} a^{2} b^{2} c + {\left(B - 2 \, C\right)} a^{2} b c^{2} - C a^{2} c^{3}\right)} \cosh\left(x\right)^{2} + {\left(2 \, B a^{3} b^{2} + B a b^{4} - {\left(B - C\right)} a b c^{3} + C a c^{4} - {\left(2 \, C a^{3} + {\left(B + C\right)} a b^{2}\right)} c^{2} + {\left(2 \, {\left(B - C\right)} a^{3} b + {\left(B - C\right)} a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left({\left(B + C\right)} a^{4} b + {\left(B + C\right)} a^{2} b^{3} - 2 \, {\left(B + C\right)} b^{5}\right)} c + {\left(4 \, B a^{5} b + B a^{3} b^{3} - 5 \, B a b^{5} - 5 \, B a b c^{4} + 5 \, C a c^{5} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(B a^{3} b - 10 \, B a b^{3}\right)} c^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\right)} \cosh\left(x\right) + {\left(4 \, B a^{5} b + B a^{3} b^{3} - 5 \, B a b^{5} - 5 \, B a b c^{4} + 5 \, C a c^{5} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} - {\left(B a^{3} b - 10 \, B a b^{3}\right)} c^{2} + 9 \, {\left(B a^{3} b^{3} - B a b^{5} + {\left(B - 2 \, C\right)} a b c^{4} - C a c^{5} - {\left(C a^{3} - 2 \, B a b^{2}\right)} c^{3} + {\left({\left(B - 2 \, C\right)} a^{3} b + 2 \, C a b^{3}\right)} c^{2} + {\left({\left(2 \, B - C\right)} a^{3} b^{2} - {\left(2 \, B - C\right)} a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} - 2 \, {\left(B + C\right)} b^{6} + 9 \, {\left(B - C\right)} a^{2} b c^{3} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - {\left(B + C\right)} a^{2} b^{2} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} + 9 \, {\left({\left(B - C\right)} a^{4} b - {\left(B - C\right)} a^{2} b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-1/2*(2*B*a^4*b^2 + 2*B*a^2*b^4 - 4*B*b^6 + 4*(B + C)*b*c^5 - 4*C*c^6 - 2*(C*a^2 + 2*(B - 2*C)*b^2)*c^4 + 2*((B + C)*a^2*b - 4*(B + C)*b^3)*c^3 + 6*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x)^3 + 6*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*sinh(x)^3 + 2*(C*a^4 - (B - C)*a^2*b^2 + 2*(2*B - C)*b^4)*c^2 + 2*(2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c)*cosh(x)^2 + 2*(2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c + 9*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x))*sinh(x)^2 + 3*(B*a*b^4 - (B + C)*a*b^3*c - (B - C)*a*b^2*c^2 + (B + C)*a*b*c^3 - C*a*c^4 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^4 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*sinh(x)^4 + 4*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x)^3 + 4*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x))*sinh(x)^3 + 2*(2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c)*cosh(x)^2 + 2*(2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + 3*(B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c + 6*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x))*sinh(x)^2 + 4*(B*a^2*b^3 - C*a^2*b^2*c - B*a^2*b*c^2 + C*a^2*c^3)*cosh(x) + 4*(B*a^2*b^3 - C*a^2*b^2*c - B*a^2*b*c^2 + C*a^2*c^3 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^3 + 3*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x)^2 + (2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*((B + C)*a^4*b + (B + C)*a^2*b^3 - 2*(B + C)*b^5)*c + 2*(4*B*a^5*b + B*a^3*b^3 - 5*B*a*b^5 - 5*B*a*b*c^4 + 5*C*a*c^5 + (C*a^3 - 10*C*a*b^2)*c^3 - (B*a^3*b - 10*B*a*b^3)*c^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*cosh(x) + 2*(4*B*a^5*b + B*a^3*b^3 - 5*B*a*b^5 - 5*B*a*b*c^4 + 5*C*a*c^5 + (C*a^3 - 10*C*a*b^2)*c^3 - (B*a^3*b - 10*B*a*b^3)*c^2 + 9*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x)^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c + 2*(2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)), -(B*a^4*b^2 + B*a^2*b^4 - 2*B*b^6 + 2*(B + C)*b*c^5 - 2*C*c^6 - (C*a^2 + 2*(B - 2*C)*b^2)*c^4 + ((B + C)*a^2*b - 4*(B + C)*b^3)*c^3 + 3*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x)^3 + 3*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*sinh(x)^3 + (C*a^4 - (B - C)*a^2*b^2 + 2*(2*B - C)*b^4)*c^2 + (2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c)*cosh(x)^2 + (2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c + 9*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x))*sinh(x)^2 + 3*(B*a*b^4 - (B + C)*a*b^3*c - (B - C)*a*b^2*c^2 + (B + C)*a*b*c^3 - C*a*c^4 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^4 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*sinh(x)^4 + 4*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x)^3 + 4*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x))*sinh(x)^3 + 2*(2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c)*cosh(x)^2 + 2*(2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + 3*(B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c + 6*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x))*sinh(x)^2 + 4*(B*a^2*b^3 - C*a^2*b^2*c - B*a^2*b*c^2 + C*a^2*c^3)*cosh(x) + 4*(B*a^2*b^3 - C*a^2*b^2*c - B*a^2*b*c^2 + C*a^2*c^3 + (B*a*b^4 + (3*B - C)*a*b^3*c + 3*(B - C)*a*b^2*c^2 + (B - 3*C)*a*b*c^3 - C*a*c^4)*cosh(x)^3 + 3*(B*a^2*b^3 + (2*B - C)*a^2*b^2*c + (B - 2*C)*a^2*b*c^2 - C*a^2*c^3)*cosh(x)^2 + (2*B*a^3*b^2 + B*a*b^4 - (B - C)*a*b*c^3 + C*a*c^4 - (2*C*a^3 + (B + C)*a*b^2)*c^2 + (2*(B - C)*a^3*b + (B - C)*a*b^3)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - ((B + C)*a^4*b + (B + C)*a^2*b^3 - 2*(B + C)*b^5)*c + (4*B*a^5*b + B*a^3*b^3 - 5*B*a*b^5 - 5*B*a*b*c^4 + 5*C*a*c^5 + (C*a^3 - 10*C*a*b^2)*c^3 - (B*a^3*b - 10*B*a*b^3)*c^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*cosh(x) + (4*B*a^5*b + B*a^3*b^3 - 5*B*a*b^5 - 5*B*a*b*c^4 + 5*C*a*c^5 + (C*a^3 - 10*C*a*b^2)*c^3 - (B*a^3*b - 10*B*a*b^3)*c^2 + 9*(B*a^3*b^3 - B*a*b^5 + (B - 2*C)*a*b*c^4 - C*a*c^5 - (C*a^3 - 2*B*a*b^2)*c^3 + ((B - 2*C)*a^3*b + 2*C*a*b^3)*c^2 + ((2*B - C)*a^3*b^2 - (2*B - C)*a*b^4)*c)*cosh(x)^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c + 2*(2*(B + C)*a^6 + 3*(B - 2*C)*a^4*b^2 - 3*(B - 2*C)*a^2*b^4 - 2*(B + C)*b^6 + 9*(B - C)*a^2*b*c^3 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 - 2*(B + C)*b^2)*c^4 + 3*((2*B - C)*a^4 - (B + C)*a^2*b^2 + 2*(B + C)*b^4)*c^2 + 9*((B - C)*a^4*b - (B - C)*a^2*b^3)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x))]","B",0
798,1,605,0,0.506640," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""fricas"")","\left[\frac{{\left(B a b - A b^{2} - C a c + A c^{2}\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) + {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3} + {\left(B - C\right)} b c^{2} + {\left(B - C\right)} c^{3} + {\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} c\right)} x + {\left(C a^{2} b - C b^{3} + C b c^{2} - B c^{3} - {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}, -\frac{2 \, {\left(B a b - A b^{2} - C a c + A c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left({\left(B - C\right)} a^{2} b - {\left(B - C\right)} b^{3} + {\left(B - C\right)} b c^{2} + {\left(B - C\right)} c^{3} + {\left({\left(B - C\right)} a^{2} - {\left(B - C\right)} b^{2}\right)} c\right)} x - {\left(C a^{2} b - C b^{3} + C b c^{2} - B c^{3} - {\left(B a^{2} - B b^{2}\right)} c\right)} \log\left(\frac{2 \, {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b^{2} - b^{4} - c^{4} - {\left(a^{2} - 2 \, b^{2}\right)} c^{2}}\right]"," ",0,"[((B*a*b - A*b^2 - C*a*c + A*c^2)*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) + ((B - C)*a^2*b - (B - C)*b^3 + (B - C)*b*c^2 + (B - C)*c^3 + ((B - C)*a^2 - (B - C)*b^2)*c)*x + (C*a^2*b - C*b^3 + C*b*c^2 - B*c^3 - (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2), -(2*(B*a*b - A*b^2 - C*a*c + A*c^2)*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - ((B - C)*a^2*b - (B - C)*b^3 + (B - C)*b*c^2 + (B - C)*c^3 + ((B - C)*a^2 - (B - C)*b^2)*c)*x - (C*a^2*b - C*b^3 + C*b*c^2 - B*c^3 - (B*a^2 - B*b^2)*c)*log(2*(b*cosh(x) + c*sinh(x) + a)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 - c^4 - (a^2 - 2*b^2)*c^2)]","A",0
799,1,2541,0,0.499433," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B a^{3} b - 2 \, A a^{2} b^{2} - 2 \, B a b^{3} + 2 \, A b^{4} - 2 \, C a c^{3} + 2 \, A c^{4} + 2 \, {\left(A a^{2} + B a b - 2 \, A b^{2}\right)} c^{2} - {\left(A a b^{2} - B b^{3} + C b^{2} c - C c^{3} - {\left(A a - B b\right)} c^{2} + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2} + C a c^{2} + {\left(A a^{2} - {\left(B - C\right)} a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + C a c^{2} + {\left(A a^{2} - {\left(B - C\right)} a b\right)} c + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left(C a^{3} - C a b^{2}\right)} c + 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4} + B c^{4} - {\left(A a - {\left(B - C\right)} b\right)} c^{3} + {\left({\left(2 \, B + C\right)} a^{2} - A a b - {\left(B + C\right)} b^{2}\right)} c^{2} - {\left(A a^{3} - {\left(B - C\right)} a^{2} b - A a b^{2} + {\left(B - C\right)} b^{3}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4} + B c^{4} - {\left(A a - {\left(B - C\right)} b\right)} c^{3} + {\left({\left(2 \, B + C\right)} a^{2} - A a b - {\left(B + C\right)} b^{2}\right)} c^{2} - {\left(A a^{3} - {\left(B - C\right)} a^{2} b - A a b^{2} + {\left(B - C\right)} b^{3}\right)} c\right)} \sinh\left(x\right)}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}, -\frac{2 \, {\left(B a^{3} b - A a^{2} b^{2} - B a b^{3} + A b^{4} - C a c^{3} + A c^{4} + {\left(A a^{2} + B a b - 2 \, A b^{2}\right)} c^{2} - {\left(A a b^{2} - B b^{3} + C b^{2} c - C c^{3} - {\left(A a - B b\right)} c^{2} + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(A a^{2} b - B a b^{2} + C a c^{2} + {\left(A a^{2} - {\left(B - C\right)} a b\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(A a^{2} b - B a b^{2} + C a c^{2} + {\left(A a^{2} - {\left(B - C\right)} a b\right)} c + {\left(A a b^{2} - B b^{3} + C c^{3} + {\left(A a - {\left(B - 2 \, C\right)} b\right)} c^{2} + {\left(2 \, A a b - {\left(2 \, B - C\right)} b^{2}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left(C a^{3} - C a b^{2}\right)} c + {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4} + B c^{4} - {\left(A a - {\left(B - C\right)} b\right)} c^{3} + {\left({\left(2 \, B + C\right)} a^{2} - A a b - {\left(B + C\right)} b^{2}\right)} c^{2} - {\left(A a^{3} - {\left(B - C\right)} a^{2} b - A a b^{2} + {\left(B - C\right)} b^{3}\right)} c\right)} \cosh\left(x\right) + {\left({\left(B + C\right)} a^{4} - A a^{3} b - {\left(B + 2 \, C\right)} a^{2} b^{2} + A a b^{3} + C b^{4} + B c^{4} - {\left(A a - {\left(B - C\right)} b\right)} c^{3} + {\left({\left(2 \, B + C\right)} a^{2} - A a b - {\left(B + C\right)} b^{2}\right)} c^{2} - {\left(A a^{3} - {\left(B - C\right)} a^{2} b - A a b^{2} + {\left(B - C\right)} b^{3}\right)} c\right)} \sinh\left(x\right)\right)}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - c^{6} - {\left(2 \, a^{2} - 3 \, b^{2}\right)} c^{4} - {\left(a^{4} - 4 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c\right)} \cosh\left(x\right) + 2 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5} + a b c^{4} + a c^{5} + 2 \, {\left(a^{3} - a b^{2}\right)} c^{3} + 2 \, {\left(a^{3} b - a b^{3}\right)} c^{2} + {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} c + {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 2 \, b c^{5} + c^{6} + {\left(2 \, a^{2} - b^{2}\right)} c^{4} + 4 \, {\left(a^{2} b - b^{3}\right)} c^{3} + {\left(a^{4} - b^{4}\right)} c^{2} + 2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right]"," ",0,"[-(2*B*a^3*b - 2*A*a^2*b^2 - 2*B*a*b^3 + 2*A*b^4 - 2*C*a*c^3 + 2*A*c^4 + 2*(A*a^2 + B*a*b - 2*A*b^2)*c^2 - (A*a*b^2 - B*b^3 + C*b^2*c - C*c^3 - (A*a - B*b)*c^2 + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*cosh(x)^2 + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2 + C*a*c^2 + (A*a^2 - (B - C)*a*b)*c)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + C*a*c^2 + (A*a^2 - (B - C)*a*b)*c + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) - 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*(C*a^3 - C*a*b^2)*c + 2*((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4 + B*c^4 - (A*a - (B - C)*b)*c^3 + ((2*B + C)*a^2 - A*a*b - (B + C)*b^2)*c^2 - (A*a^3 - (B - C)*a^2*b - A*a*b^2 + (B - C)*b^3)*c)*cosh(x) + 2*((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4 + B*c^4 - (A*a - (B - C)*b)*c^3 + ((2*B + C)*a^2 - A*a*b - (B + C)*b^2)*c^2 - (A*a^3 - (B - C)*a^2*b - A*a*b^2 + (B - C)*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x)), -2*(B*a^3*b - A*a^2*b^2 - B*a*b^3 + A*b^4 - C*a*c^3 + A*c^4 + (A*a^2 + B*a*b - 2*A*b^2)*c^2 - (A*a*b^2 - B*b^3 + C*b^2*c - C*c^3 - (A*a - B*b)*c^2 + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*cosh(x)^2 + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*sinh(x)^2 + 2*(A*a^2*b - B*a*b^2 + C*a*c^2 + (A*a^2 - (B - C)*a*b)*c)*cosh(x) + 2*(A*a^2*b - B*a*b^2 + C*a*c^2 + (A*a^2 - (B - C)*a*b)*c + (A*a*b^2 - B*b^3 + C*c^3 + (A*a - (B - 2*C)*b)*c^2 + (2*A*a*b - (2*B - C)*b^2)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - (C*a^3 - C*a*b^2)*c + ((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4 + B*c^4 - (A*a - (B - C)*b)*c^3 + ((2*B + C)*a^2 - A*a*b - (B + C)*b^2)*c^2 - (A*a^3 - (B - C)*a^2*b - A*a*b^2 + (B - C)*b^3)*c)*cosh(x) + ((B + C)*a^4 - A*a^3*b - (B + 2*C)*a^2*b^2 + A*a*b^3 + C*b^4 + B*c^4 - (A*a - (B - C)*b)*c^3 + ((2*B + C)*a^2 - A*a*b - (B + C)*b^2)*c^2 - (A*a^3 - (B - C)*a^2*b - A*a*b^2 + (B - C)*b^3)*c)*sinh(x))/(a^4*b^2 - 2*a^2*b^4 + b^6 - c^6 - (2*a^2 - 3*b^2)*c^4 - (a^4 - 4*a^2*b^2 + 3*b^4)*c^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x)^2 + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*sinh(x)^2 + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c)*cosh(x) + 2*(a^5*b - 2*a^3*b^3 + a*b^5 + a*b*c^4 + a*c^5 + 2*(a^3 - a*b^2)*c^3 + 2*(a^3*b - a*b^3)*c^2 + (a^5 - 2*a^3*b^2 + a*b^4)*c + (a^4*b^2 - 2*a^2*b^4 + b^6 + 2*b*c^5 + c^6 + (2*a^2 - b^2)*c^4 + 4*(a^2*b - b^3)*c^3 + (a^4 - b^4)*c^2 + 2*(a^4*b - 2*a^2*b^3 + b^5)*c)*cosh(x))*sinh(x))]","B",0
800,1,13813,0,0.702605," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""fricas"")","\left[-\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} - 4 \, C c^{6} - 2 \, {\left(3 \, A a - 2 \, {\left(B + C\right)} b\right)} c^{5} - 2 \, {\left(C a^{2} - 3 \, A a b + 2 \, {\left(B - 2 \, C\right)} b^{2}\right)} c^{4} - 2 \, {\left(3 \, A a^{3} - {\left(B + C\right)} a^{2} b - 6 \, A a b^{2} + 4 \, {\left(B + C\right)} b^{3}\right)} c^{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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} + 2 \, {\left(C a^{4} + 3 \, A a^{3} b - {\left(B - C\right)} a^{2} b^{2} - 6 \, A a b^{3} + 2 \, {\left(2 \, B - C\right)} b^{4}\right)} c^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c - 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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\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} - A c^{5} + {\left(3 \, C a + A b\right)} c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B + C\right)} a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b - 3 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c\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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, {\left(B + C\right)} a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2} + c^{2}} \log\left(\frac{{\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)^{2} + {\left(b^{2} + 2 \, b c + c^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + c^{2} + 2 \, {\left(a b + a c\right)} \cosh\left(x\right) + 2 \, {\left(a b + a c + {\left(b^{2} + 2 \, b c + c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} - b^{2} + c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}\right) - 2 \, {\left({\left(B + C\right)} a^{4} b - 3 \, A a^{3} b^{2} + {\left(B + C\right)} a^{2} b^{3} + 3 \, A a b^{4} - 2 \, {\left(B + C\right)} b^{5}\right)} c + 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} + 5 \, C a c^{5} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\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} + 5 \, C a c^{5} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - 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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c\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} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{B a^{4} b^{2} - 3 \, A a^{3} b^{3} + B a^{2} b^{4} + 3 \, A a b^{5} - 2 \, B b^{6} - 2 \, C c^{6} - {\left(3 \, A a - 2 \, {\left(B + C\right)} b\right)} c^{5} - {\left(C a^{2} - 3 \, A a b + 2 \, {\left(B - 2 \, C\right)} b^{2}\right)} c^{4} - {\left(3 \, A a^{3} - {\left(B + C\right)} a^{2} b - 6 \, A a b^{2} + 4 \, {\left(B + C\right)} b^{3}\right)} c^{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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\right)} \sinh\left(x\right)^{3} + {\left(C a^{4} + 3 \, A a^{3} b - {\left(B - C\right)} a^{2} b^{2} - 6 \, A a b^{3} + 2 \, {\left(2 \, B - C\right)} b^{4}\right)} c^{2} + {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c - 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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\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} - A c^{5} + {\left(3 \, C a + A b\right)} c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B + C\right)} a b + 2 \, A b^{2}\right)} c^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)^{3} + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, A a^{2} b - 3 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c\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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c + 6 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(2 \, A a^{2} b^{2} - 3 \, {\left(B + C\right)} a b^{3} + A b^{4}\right)} c + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} + 3 \, C a^{2} b^{2} c - 3 \, C a^{2} c^{3} + A a c^{4} + {\left(2 \, A a^{2} b^{3} - 3 \, B a b^{4} + A b^{5} - A c^{5} + 3 \, {\left(C a - A b\right)} c^{4} + {\left(2 \, A a^{2} - 3 \, {\left(B - 3 \, C\right)} a b - 2 \, A b^{2}\right)} c^{3} + {\left(6 \, A a^{2} b - 9 \, {\left(B - C\right)} a b^{2} + 2 \, A b^{3}\right)} c^{2} + 3 \, {\left(2 \, A a^{2} b^{2} - {\left(3 \, B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, A a^{3} - 3 \, B a^{2} b + 2 \, A a b^{2}\right)} c^{2} + 3 \, {\left(2 \, A a^{3} b^{2} - 3 \, B a^{2} b^{3} + A a b^{4} - A a c^{4} + {\left(3 \, C a^{2} - 2 \, A a b\right)} c^{3} + {\left(2 \, A a^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b\right)} c^{2} + {\left(4 \, A a^{3} b - 3 \, {\left(2 \, B - C\right)} a^{2} b^{2} + 2 \, A a b^{3}\right)} c\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} + A c^{5} - {\left(3 \, C a - A b\right)} c^{4} - {\left(4 \, A a^{2} - 3 \, {\left(B - C\right)} a b + 2 \, A b^{2}\right)} c^{3} + {\left(6 \, C a^{3} - 4 \, A a^{2} b + 3 \, {\left(B + C\right)} a b^{2} - 2 \, A b^{3}\right)} c^{2} + {\left(4 \, A a^{4} - 6 \, {\left(B - C\right)} a^{3} b + 4 \, A a^{2} b^{2} - 3 \, {\left(B - C\right)} a b^{3} + A b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2} - c^{2}} \arctan\left(\frac{\sqrt{-a^{2} + b^{2} - c^{2}} {\left({\left(b + c\right)} \cosh\left(x\right) + {\left(b + c\right)} \sinh\left(x\right) + a\right)}}{a^{2} - b^{2} + c^{2}}\right) - {\left({\left(B + C\right)} a^{4} b - 3 \, A a^{3} b^{2} + {\left(B + C\right)} a^{2} b^{3} + 3 \, A a b^{4} - 2 \, {\left(B + C\right)} b^{5}\right)} c + {\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} + 5 \, C a c^{5} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c\right)} \cosh\left(x\right) + {\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} + 5 \, C a c^{5} + A c^{6} + {\left(11 \, A a^{2} - 5 \, B a b - 3 \, A b^{2}\right)} c^{4} + {\left(C a^{3} - 10 \, C a b^{2}\right)} c^{3} + {\left(10 \, A a^{4} - B a^{3} b - 22 \, A a^{2} b^{2} + 10 \, B a b^{3} + 3 \, A b^{4}\right)} c^{2} - 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} - A c^{6} + {\left(3 \, C a - 2 \, A b\right)} c^{5} + {\left(A a^{2} - 3 \, {\left(B - 2 \, C\right)} a b + A b^{2}\right)} c^{4} + {\left(3 \, C a^{3} + 2 \, A a^{2} b - 6 \, B a b^{2} + 4 \, A b^{3}\right)} c^{3} + {\left(2 \, A a^{4} - 3 \, {\left(B - 2 \, C\right)} a^{3} b - 6 \, C a b^{3} + A b^{4}\right)} c^{2} + {\left(4 \, A a^{4} b - 3 \, {\left(2 \, B - C\right)} a^{3} b^{2} - 2 \, A a^{2} b^{3} + 3 \, {\left(2 \, B - C\right)} a b^{4} - 2 \, A b^{5}\right)} c\right)} \cosh\left(x\right)^{2} - {\left(4 \, C a^{5} + C a^{3} b^{2} - 5 \, C a b^{4}\right)} c + 2 \, {\left(2 \, {\left(B + C\right)} a^{6} - 6 \, A a^{5} b + 3 \, {\left(B - 2 \, C\right)} a^{4} b^{2} + 3 \, A a^{3} b^{3} - 3 \, {\left(B - 2 \, C\right)} a^{2} b^{4} + 3 \, A a b^{5} - 2 \, {\left(B + C\right)} b^{6} + 3 \, A a c^{5} + 2 \, {\left(B + C\right)} c^{6} + 3 \, {\left({\left(2 \, B - C\right)} a^{2} + A a b - 2 \, {\left(B + C\right)} b^{2}\right)} c^{4} - 3 \, {\left(A a^{3} - 3 \, {\left(B - C\right)} a^{2} b + 2 \, A a b^{2}\right)} c^{3} + 3 \, {\left({\left(2 \, B - C\right)} a^{4} - A a^{3} b - {\left(B + C\right)} a^{2} b^{2} - 2 \, A a b^{3} + 2 \, {\left(B + C\right)} b^{4}\right)} c^{2} - 3 \, {\left(2 \, A a^{5} - 3 \, {\left(B - C\right)} a^{4} b - A a^{3} b^{2} + 3 \, {\left(B - C\right)} a^{2} b^{3} - A a b^{4}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} - b c^{8} + c^{9} + {\left(3 \, a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(3 \, a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{5} - 3 \, {\left(a^{4} b - 3 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \sinh\left(x\right)^{4} + {\left(a^{6} - 6 \, a^{4} b^{2} + 9 \, a^{2} b^{4} - 4 \, b^{6}\right)} c^{3} + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(a^{6} b - 6 \, a^{4} b^{3} + 9 \, a^{2} b^{5} - 4 \, b^{7}\right)} c^{2} + 2 \, {\left(2 \, a^{8} b - 5 \, a^{6} b^{3} + 3 \, a^{4} b^{5} + a^{2} b^{7} - b^{9} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + 3 \, {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c + 6 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2}\right)} \cosh\left(x\right) + 4 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} - a c^{8} - {\left(3 \, a^{3} - 4 \, a b^{2}\right)} c^{6} - 3 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{4} + {\left(a^{6} b^{3} - 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} - b^{9} + 3 \, a^{2} c^{7} + 3 \, b c^{8} + c^{9} + {\left(9 \, a^{2} b - 8 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(3 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} c^{4} + {\left(a^{6} + 6 \, a^{4} b^{2} - 15 \, a^{2} b^{4} + 8 \, b^{6}\right)} c^{3} + 3 \, {\left(a^{6} b - 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} c^{2} + 3 \, {\left(a^{6} b^{2} - 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} - b^{8}\right)} c\right)} \cosh\left(x\right)^{3} - {\left(a^{7} - 6 \, a^{5} b^{2} + 9 \, a^{3} b^{4} - 4 \, a b^{6}\right)} c^{2} + 3 \, {\left(a^{7} b^{2} - 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} - a b^{8} + 2 \, a b c^{7} + a c^{8} + {\left(3 \, a^{3} - 2 \, a b^{2}\right)} c^{6} + 6 \, {\left(a^{3} b - a b^{3}\right)} c^{5} + 3 \, {\left(a^{5} - a^{3} b^{2}\right)} c^{4} + 6 \, {\left(a^{5} b - 2 \, a^{3} b^{3} + a b^{5}\right)} c^{3} + {\left(a^{7} - 3 \, a^{3} b^{4} + 2 \, a b^{6}\right)} c^{2} + 2 \, {\left(a^{7} b - 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} - a b^{7}\right)} c\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} - b c^{8} - c^{9} - {\left(a^{2} - 4 \, b^{2}\right)} c^{7} - {\left(a^{2} b - 4 \, b^{3}\right)} c^{6} + 3 \, {\left(a^{4} + a^{2} b^{2} - 2 \, b^{4}\right)} c^{5} + 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, b^{5}\right)} c^{4} + {\left(5 \, a^{6} - 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, b^{6}\right)} c^{3} + {\left(5 \, a^{6} b - 6 \, a^{4} b^{3} - 3 \, a^{2} b^{5} + 4 \, b^{7}\right)} c^{2} + {\left(2 \, a^{8} - 5 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6} - b^{8}\right)} c\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 - 4*C*c^6 - 2*(3*A*a - 2*(B + C)*b)*c^5 - 2*(C*a^2 - 3*A*a*b + 2*(B - 2*C)*b^2)*c^4 - 2*(3*A*a^3 - (B + C)*a^2*b - 6*A*a*b^2 + 4*(B + C)*b^3)*c^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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*sinh(x)^3 + 2*(C*a^4 + 3*A*a^3*b - (B - C)*a^2*b^2 - 6*A*a*b^3 + 2*(2*B - C)*b^4)*c^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c)*cosh(x)^2 + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c - 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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*cosh(x))*sinh(x)^2 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + (3*C*a + A*b)*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*(B + C)*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b - 3*(B - C)*a*b^2 + 2*A*b^3)*c^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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c)*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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*(B + C)*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^3 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(a^2 - b^2 + c^2)*log(((b^2 + 2*b*c + c^2)*cosh(x)^2 + (b^2 + 2*b*c + c^2)*sinh(x)^2 + 2*a^2 - b^2 + c^2 + 2*(a*b + a*c)*cosh(x) + 2*(a*b + a*c + (b^2 + 2*b*c + c^2)*cosh(x))*sinh(x) + 2*sqrt(a^2 - b^2 + c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a))/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)) - 2*((B + C)*a^4*b - 3*A*a^3*b^2 + (B + C)*a^2*b^3 + 3*A*a*b^4 - 2*(B + C)*b^5)*c + 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 + 5*C*a*c^5 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (C*a^3 - 10*C*a*b^2)*c^3 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*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 + 5*C*a*c^5 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (C*a^3 - 10*C*a*b^2)*c^3 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - 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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*cosh(x)^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)), -(B*a^4*b^2 - 3*A*a^3*b^3 + B*a^2*b^4 + 3*A*a*b^5 - 2*B*b^6 - 2*C*c^6 - (3*A*a - 2*(B + C)*b)*c^5 - (C*a^2 - 3*A*a*b + 2*(B - 2*C)*b^2)*c^4 - (3*A*a^3 - (B + C)*a^2*b - 6*A*a*b^2 + 4*(B + C)*b^3)*c^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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*cosh(x)^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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*sinh(x)^3 + (C*a^4 + 3*A*a^3*b - (B - C)*a^2*b^2 - 6*A*a*b^3 + 2*(2*B - C)*b^4)*c^2 + (2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c)*cosh(x)^2 + (2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c - 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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + (3*C*a + A*b)*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*sinh(x)^4 + (2*A*a^2 - 3*(B + C)*a*b + 2*A*b^2)*c^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x)^3 + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x)^3 - (2*A*a^2*b - 3*(B - C)*a*b^2 + 2*A*b^3)*c^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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c)*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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + 3*(2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c + 6*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*cosh(x))*sinh(x)^2 - (2*A*a^2*b^2 - 3*(B + C)*a*b^3 + A*b^4)*c + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2)*cosh(x) + 4*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 + 3*C*a^2*b^2*c - 3*C*a^2*c^3 + A*a*c^4 + (2*A*a^2*b^3 - 3*B*a*b^4 + A*b^5 - A*c^5 + 3*(C*a - A*b)*c^4 + (2*A*a^2 - 3*(B - 3*C)*a*b - 2*A*b^2)*c^3 + (6*A*a^2*b - 9*(B - C)*a*b^2 + 2*A*b^3)*c^2 + 3*(2*A*a^2*b^2 - (3*B - C)*a*b^3 + A*b^4)*c)*cosh(x)^3 - (2*A*a^3 - 3*B*a^2*b + 2*A*a*b^2)*c^2 + 3*(2*A*a^3*b^2 - 3*B*a^2*b^3 + A*a*b^4 - A*a*c^4 + (3*C*a^2 - 2*A*a*b)*c^3 + (2*A*a^3 - 3*(B - 2*C)*a^2*b)*c^2 + (4*A*a^3*b - 3*(2*B - C)*a^2*b^2 + 2*A*a*b^3)*c)*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 + A*c^5 - (3*C*a - A*b)*c^4 - (4*A*a^2 - 3*(B - C)*a*b + 2*A*b^2)*c^3 + (6*C*a^3 - 4*A*a^2*b + 3*(B + C)*a*b^2 - 2*A*b^3)*c^2 + (4*A*a^4 - 6*(B - C)*a^3*b + 4*A*a^2*b^2 - 3*(B - C)*a*b^3 + A*b^4)*c)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2 - c^2)*arctan(sqrt(-a^2 + b^2 - c^2)*((b + c)*cosh(x) + (b + c)*sinh(x) + a)/(a^2 - b^2 + c^2)) - ((B + C)*a^4*b - 3*A*a^3*b^2 + (B + C)*a^2*b^3 + 3*A*a*b^4 - 2*(B + C)*b^5)*c + (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 + 5*C*a*c^5 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (C*a^3 - 10*C*a*b^2)*c^3 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c)*cosh(x) + (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 + 5*C*a*c^5 + A*c^6 + (11*A*a^2 - 5*B*a*b - 3*A*b^2)*c^4 + (C*a^3 - 10*C*a*b^2)*c^3 + (10*A*a^4 - B*a^3*b - 22*A*a^2*b^2 + 10*B*a*b^3 + 3*A*b^4)*c^2 - 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 - A*c^6 + (3*C*a - 2*A*b)*c^5 + (A*a^2 - 3*(B - 2*C)*a*b + A*b^2)*c^4 + (3*C*a^3 + 2*A*a^2*b - 6*B*a*b^2 + 4*A*b^3)*c^3 + (2*A*a^4 - 3*(B - 2*C)*a^3*b - 6*C*a*b^3 + A*b^4)*c^2 + (4*A*a^4*b - 3*(2*B - C)*a^3*b^2 - 2*A*a^2*b^3 + 3*(2*B - C)*a*b^4 - 2*A*b^5)*c)*cosh(x)^2 - (4*C*a^5 + C*a^3*b^2 - 5*C*a*b^4)*c + 2*(2*(B + C)*a^6 - 6*A*a^5*b + 3*(B - 2*C)*a^4*b^2 + 3*A*a^3*b^3 - 3*(B - 2*C)*a^2*b^4 + 3*A*a*b^5 - 2*(B + C)*b^6 + 3*A*a*c^5 + 2*(B + C)*c^6 + 3*((2*B - C)*a^2 + A*a*b - 2*(B + C)*b^2)*c^4 - 3*(A*a^3 - 3*(B - C)*a^2*b + 2*A*a*b^2)*c^3 + 3*((2*B - C)*a^4 - A*a^3*b - (B + C)*a^2*b^2 - 2*A*a*b^3 + 2*(B + C)*b^4)*c^2 - 3*(2*A*a^5 - 3*(B - C)*a^4*b - A*a^3*b^2 + 3*(B - C)*a^2*b^3 - A*a*b^4)*c)*cosh(x))*sinh(x))/(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 - b*c^8 + c^9 + (3*a^2 - 4*b^2)*c^7 - (3*a^2*b - 4*b^3)*c^6 + 3*(a^4 - 3*a^2*b^2 + 2*b^4)*c^5 - 3*(a^4*b - 3*a^2*b^3 + 2*b^5)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*sinh(x)^4 + (a^6 - 6*a^4*b^2 + 9*a^2*b^4 - 4*b^6)*c^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^3 + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x))*sinh(x)^3 - (a^6*b - 6*a^4*b^3 + 9*a^2*b^5 - 4*b^7)*c^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x)^2 + 2*(2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + 3*(a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c + 6*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x))*sinh(x)^2 - (a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2)*cosh(x) + 4*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 - a*c^8 - (3*a^3 - 4*a*b^2)*c^6 - 3*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^4 + (a^6*b^3 - 3*a^4*b^5 + 3*a^2*b^7 - b^9 + 3*a^2*c^7 + 3*b*c^8 + c^9 + (9*a^2*b - 8*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(3*a^4*b - 5*a^2*b^3 + 2*b^5)*c^4 + (a^6 + 6*a^4*b^2 - 15*a^2*b^4 + 8*b^6)*c^3 + 3*(a^6*b - 2*a^4*b^3 + a^2*b^5)*c^2 + 3*(a^6*b^2 - 3*a^4*b^4 + 3*a^2*b^6 - b^8)*c)*cosh(x)^3 - (a^7 - 6*a^5*b^2 + 9*a^3*b^4 - 4*a*b^6)*c^2 + 3*(a^7*b^2 - 3*a^5*b^4 + 3*a^3*b^6 - a*b^8 + 2*a*b*c^7 + a*c^8 + (3*a^3 - 2*a*b^2)*c^6 + 6*(a^3*b - a*b^3)*c^5 + 3*(a^5 - a^3*b^2)*c^4 + 6*(a^5*b - 2*a^3*b^3 + a*b^5)*c^3 + (a^7 - 3*a^3*b^4 + 2*a*b^6)*c^2 + 2*(a^7*b - 3*a^5*b^3 + 3*a^3*b^5 - a*b^7)*c)*cosh(x)^2 + (2*a^8*b - 5*a^6*b^3 + 3*a^4*b^5 + a^2*b^7 - b^9 - b*c^8 - c^9 - (a^2 - 4*b^2)*c^7 - (a^2*b - 4*b^3)*c^6 + 3*(a^4 + a^2*b^2 - 2*b^4)*c^5 + 3*(a^4*b + a^2*b^3 - 2*b^5)*c^4 + (5*a^6 - 6*a^4*b^2 - 3*a^2*b^4 + 4*b^6)*c^3 + (5*a^6*b - 6*a^4*b^3 - 3*a^2*b^5 + 4*b^7)*c^2 + (2*a^8 - 5*a^6*b^2 + 3*a^4*b^4 + a^2*b^6 - b^8)*c)*cosh(x))*sinh(x))]","B",0
801,1,55,0,0.453058," ","integrate((b^2-c^2+a*b*cosh(x)+a*c*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b - c\right)}}{{\left(b + c\right)} \cosh\left(x\right)^{2} + {\left(b + c\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left({\left(b + c\right)} \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b - c}"," ",0,"-2*(a*cosh(x) + a*sinh(x) + b - c)/((b + c)*cosh(x)^2 + (b + c)*sinh(x)^2 + 2*a*cosh(x) + 2*((b + c)*cosh(x) + a)*sinh(x) + b - c)","B",0
802,1,107,0,0.448737," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","\frac{C a b + {\left(2 \, A a b + C b^{2}\right)} x \cosh\left(x\right) + {\left(2 \, A a b + C b^{2}\right)} x \sinh\left(x\right) + {\left({\left(C a^{2} - 2 \, A a b - C b^{2}\right)} \cosh\left(x\right) + {\left(C a^{2} - 2 \, A a b - C b^{2}\right)} \sinh\left(x\right)\right)} \log\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}{2 \, {\left(a^{2} b \cosh\left(x\right) + a^{2} b \sinh\left(x\right)\right)}}"," ",0,"1/2*(C*a*b + (2*A*a*b + C*b^2)*x*cosh(x) + (2*A*a*b + C*b^2)*x*sinh(x) + ((C*a^2 - 2*A*a*b - C*b^2)*cosh(x) + (C*a^2 - 2*A*a*b - C*b^2)*sinh(x))*log(b*cosh(x) + b*sinh(x) + a))/(a^2*b*cosh(x) + a^2*b*sinh(x))","A",0
803,1,110,0,0.441104," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","-\frac{B a b - {\left(2 \, A a b - B b^{2}\right)} x \cosh\left(x\right) - {\left(2 \, A a b - B b^{2}\right)} x \sinh\left(x\right) - {\left({\left(B a^{2} - 2 \, A a b + B b^{2}\right)} \cosh\left(x\right) + {\left(B a^{2} - 2 \, A a b + B b^{2}\right)} \sinh\left(x\right)\right)} \log\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}{2 \, {\left(a^{2} b \cosh\left(x\right) + a^{2} b \sinh\left(x\right)\right)}}"," ",0,"-1/2*(B*a*b - (2*A*a*b - B*b^2)*x*cosh(x) - (2*A*a*b - B*b^2)*x*sinh(x) - ((B*a^2 - 2*A*a*b + B*b^2)*cosh(x) + (B*a^2 - 2*A*a*b + B*b^2)*sinh(x))*log(b*cosh(x) + b*sinh(x) + a))/(a^2*b*cosh(x) + a^2*b*sinh(x))","A",0
804,1,134,0,0.430890," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(B - C\right)} a b - {\left(2 \, A a b - {\left(B - C\right)} b^{2}\right)} x \cosh\left(x\right) - {\left(2 \, A a b - {\left(B - C\right)} b^{2}\right)} x \sinh\left(x\right) - {\left({\left({\left(B + C\right)} a^{2} - 2 \, A a b + {\left(B - C\right)} b^{2}\right)} \cosh\left(x\right) + {\left({\left(B + C\right)} a^{2} - 2 \, A a b + {\left(B - C\right)} b^{2}\right)} \sinh\left(x\right)\right)} \log\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}{2 \, {\left(a^{2} b \cosh\left(x\right) + a^{2} b \sinh\left(x\right)\right)}}"," ",0,"-1/2*((B - C)*a*b - (2*A*a*b - (B - C)*b^2)*x*cosh(x) - (2*A*a*b - (B - C)*b^2)*x*sinh(x) - (((B + C)*a^2 - 2*A*a*b + (B - C)*b^2)*cosh(x) + ((B + C)*a^2 - 2*A*a*b + (B - C)*b^2)*sinh(x))*log(b*cosh(x) + b*sinh(x) + a))/(a^2*b*cosh(x) + a^2*b*sinh(x))","A",0
805,1,59,0,0.447848," ","integrate((A+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""fricas"")","-\frac{C a^{2} x - C a b \cosh\left(x\right) - C a b \sinh\left(x\right) - {\left(C a^{2} + 2 \, A a b - C b^{2}\right)} \log\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}{2 \, a^{2} b}"," ",0,"-1/2*(C*a^2*x - C*a*b*cosh(x) - C*a*b*sinh(x) - (C*a^2 + 2*A*a*b - C*b^2)*log(a*cosh(x) + a*sinh(x) + b))/(a^2*b)","A",0
806,1,56,0,0.440370," ","integrate((A+B*cosh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""fricas"")","\frac{B a^{2} x + B a b \cosh\left(x\right) + B a b \sinh\left(x\right) - {\left(B a^{2} - 2 \, A a b + B b^{2}\right)} \log\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}{2 \, a^{2} b}"," ",0,"1/2*(B*a^2*x + B*a*b*cosh(x) + B*a*b*sinh(x) - (B*a^2 - 2*A*a*b + B*b^2)*log(a*cosh(x) + a*sinh(x) + b))/(a^2*b)","A",0
807,1,70,0,0.458555," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""fricas"")","\frac{{\left(B - C\right)} a^{2} x + {\left(B + C\right)} a b \cosh\left(x\right) + {\left(B + C\right)} a b \sinh\left(x\right) - {\left({\left(B - C\right)} a^{2} - 2 \, A a b + {\left(B + C\right)} b^{2}\right)} \log\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}{2 \, a^{2} b}"," ",0,"1/2*((B - C)*a^2*x + (B + C)*a*b*cosh(x) + (B + C)*a*b*sinh(x) - ((B - C)*a^2 - 2*A*a*b + (B + C)*b^2)*log(a*cosh(x) + a*sinh(x) + b))/(a^2*b)","A",0
808,1,19,0,0.425706," ","integrate(1/(cosh(x)^2+sinh(x)^2),x, algorithm=""fricas"")","-\arctan\left(-\frac{\cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-arctan(-(cosh(x) + sinh(x))/(cosh(x) - sinh(x)))","B",0
809,1,40,0,0.410465," ","integrate(1/(cosh(x)^2+sinh(x)^2)^2,x, algorithm=""fricas"")","-\frac{1}{\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}"," ",0,"-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)","B",0
810,1,304,0,0.427154," ","integrate(1/(cosh(x)^2+sinh(x)^2)^3,x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{6} + 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} + {\left(15 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{2} - {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \arctan\left(-\frac{\cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/2*(cosh(x)^6 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + (15*cosh(x)^4 - 1)*sinh(x)^2 - (cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 + 1)*sinh(x)^4 + 2*cosh(x)^4 + 8*(7*cosh(x)^5 + cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 + cosh(x)^3)*sinh(x) + 1)*arctan(-(cosh(x) + sinh(x))/(cosh(x) - sinh(x))) - cosh(x)^2 + 2*(3*cosh(x)^5 - cosh(x))*sinh(x))/(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 + 1)*sinh(x)^4 + 2*cosh(x)^4 + 8*(7*cosh(x)^5 + cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 + cosh(x)^3)*sinh(x) + 1)","B",0
811,1,1,0,0.396549," ","integrate(1/(cosh(x)^2-sinh(x)^2),x, algorithm=""fricas"")","x"," ",0,"x","A",0
812,1,1,0,0.400816," ","integrate(1/(cosh(x)^2-sinh(x)^2)^2,x, algorithm=""fricas"")","x"," ",0,"x","A",0
813,1,1,0,0.393492," ","integrate(1/(cosh(x)^2-sinh(x)^2)^3,x, algorithm=""fricas"")","x"," ",0,"x","A",0
814,1,1,0,0.388842," ","integrate(1/(sech(x)^2+tanh(x)^2),x, algorithm=""fricas"")","x"," ",0,"x","A",0
815,1,1,0,0.384838," ","integrate(1/(sech(x)^2+tanh(x)^2)^2,x, algorithm=""fricas"")","x"," ",0,"x","A",0
816,1,1,0,0.398915," ","integrate(1/(sech(x)^2+tanh(x)^2)^3,x, algorithm=""fricas"")","x"," ",0,"x","A",0
817,1,70,0,0.438373," ","integrate(1/(sech(x)^2-tanh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}\right) - x"," ",0,"1/2*sqrt(2)*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 - 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 - 3)) - x","B",0
818,1,266,0,0.438738," ","integrate(1/(sech(x)^2-tanh(x)^2)^2,x, algorithm=""fricas"")","\frac{4 \, x \cosh\left(x\right)^{4} + 16 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + 4 \, x \sinh\left(x\right)^{4} - 24 \, {\left(x + 1\right)} \cosh\left(x\right)^{2} + 24 \, {\left(x \cosh\left(x\right)^{2} - x - 1\right)} \sinh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right)^{4} + 4 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + \sqrt{2} \sinh\left(x\right)^{4} + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{2} - \sqrt{2}\right)} \sinh\left(x\right)^{2} - 6 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} - 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{2} - 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}\right) + 16 \, {\left(x \cosh\left(x\right)^{3} - 3 \, {\left(x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 4 \, x + 8}{4 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 6 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/4*(4*x*cosh(x)^4 + 16*x*cosh(x)*sinh(x)^3 + 4*x*sinh(x)^4 - 24*(x + 1)*cosh(x)^2 + 24*(x*cosh(x)^2 - x - 1)*sinh(x)^2 + (sqrt(2)*cosh(x)^4 + 4*sqrt(2)*cosh(x)*sinh(x)^3 + sqrt(2)*sinh(x)^4 + 6*(sqrt(2)*cosh(x)^2 - sqrt(2))*sinh(x)^2 - 6*sqrt(2)*cosh(x)^2 + 4*(sqrt(2)*cosh(x)^3 - 3*sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log((3*(2*sqrt(2) + 3)*cosh(x)^2 - 4*(3*sqrt(2) + 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) + 3)*sinh(x)^2 - 2*sqrt(2) - 3)/(cosh(x)^2 + sinh(x)^2 - 3)) + 16*(x*cosh(x)^3 - 3*(x + 1)*cosh(x))*sinh(x) + 4*x + 8)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 6*(cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x))*sinh(x) + 1)","B",0
819,1,717,0,0.448250," ","integrate(1/(sech(x)^2-tanh(x)^2)^3,x, algorithm=""fricas"")","-\frac{16 \, x \cosh\left(x\right)^{8} + 128 \, x \cosh\left(x\right) \sinh\left(x\right)^{7} + 16 \, x \sinh\left(x\right)^{8} - 8 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{6} + 8 \, {\left(56 \, x \cosh\left(x\right)^{2} - 24 \, x - 17\right)} \sinh\left(x\right)^{6} + 16 \, {\left(56 \, x \cosh\left(x\right)^{3} - 3 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 152 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{4} + 8 \, {\left(140 \, x \cosh\left(x\right)^{4} - 15 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{2} + 76 \, x + 57\right)} \sinh\left(x\right)^{4} + 32 \, {\left(28 \, x \cosh\left(x\right)^{5} - 5 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{3} + 19 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 8 \, {\left(24 \, x + 19\right)} \cosh\left(x\right)^{2} + 8 \, {\left(56 \, x \cosh\left(x\right)^{6} - 15 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{4} + 114 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{2} - 24 \, x - 19\right)} \sinh\left(x\right)^{2} - 7 \, {\left(\sqrt{2} \cosh\left(x\right)^{8} + 8 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{7} + \sqrt{2} \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{2} - 3 \, \sqrt{2}\right)} \sinh\left(x\right)^{6} - 12 \, \sqrt{2} \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{3} - 9 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \sqrt{2} \cosh\left(x\right)^{4} - 90 \, \sqrt{2} \cosh\left(x\right)^{2} + 19 \, \sqrt{2}\right)} \sinh\left(x\right)^{4} + 38 \, \sqrt{2} \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{5} - 30 \, \sqrt{2} \cosh\left(x\right)^{3} + 19 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{6} - 45 \, \sqrt{2} \cosh\left(x\right)^{4} + 57 \, \sqrt{2} \cosh\left(x\right)^{2} - 3 \, \sqrt{2}\right)} \sinh\left(x\right)^{2} - 12 \, \sqrt{2} \cosh\left(x\right)^{2} + 8 \, {\left(\sqrt{2} \cosh\left(x\right)^{7} - 9 \, \sqrt{2} \cosh\left(x\right)^{5} + 19 \, \sqrt{2} \cosh\left(x\right)^{3} - 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}\right) + 16 \, {\left(8 \, x \cosh\left(x\right)^{7} - 3 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{5} + 38 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{3} - {\left(24 \, x + 19\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 16 \, x + 24}{16 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 12 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 90 \, \cosh\left(x\right)^{2} + 19\right)} \sinh\left(x\right)^{4} + 38 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 19 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 57 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{2} - 12 \, \cosh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} + 19 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/16*(16*x*cosh(x)^8 + 128*x*cosh(x)*sinh(x)^7 + 16*x*sinh(x)^8 - 8*(24*x + 17)*cosh(x)^6 + 8*(56*x*cosh(x)^2 - 24*x - 17)*sinh(x)^6 + 16*(56*x*cosh(x)^3 - 3*(24*x + 17)*cosh(x))*sinh(x)^5 + 152*(4*x + 3)*cosh(x)^4 + 8*(140*x*cosh(x)^4 - 15*(24*x + 17)*cosh(x)^2 + 76*x + 57)*sinh(x)^4 + 32*(28*x*cosh(x)^5 - 5*(24*x + 17)*cosh(x)^3 + 19*(4*x + 3)*cosh(x))*sinh(x)^3 - 8*(24*x + 19)*cosh(x)^2 + 8*(56*x*cosh(x)^6 - 15*(24*x + 17)*cosh(x)^4 + 114*(4*x + 3)*cosh(x)^2 - 24*x - 19)*sinh(x)^2 - 7*(sqrt(2)*cosh(x)^8 + 8*sqrt(2)*cosh(x)*sinh(x)^7 + sqrt(2)*sinh(x)^8 + 4*(7*sqrt(2)*cosh(x)^2 - 3*sqrt(2))*sinh(x)^6 - 12*sqrt(2)*cosh(x)^6 + 8*(7*sqrt(2)*cosh(x)^3 - 9*sqrt(2)*cosh(x))*sinh(x)^5 + 2*(35*sqrt(2)*cosh(x)^4 - 90*sqrt(2)*cosh(x)^2 + 19*sqrt(2))*sinh(x)^4 + 38*sqrt(2)*cosh(x)^4 + 8*(7*sqrt(2)*cosh(x)^5 - 30*sqrt(2)*cosh(x)^3 + 19*sqrt(2)*cosh(x))*sinh(x)^3 + 4*(7*sqrt(2)*cosh(x)^6 - 45*sqrt(2)*cosh(x)^4 + 57*sqrt(2)*cosh(x)^2 - 3*sqrt(2))*sinh(x)^2 - 12*sqrt(2)*cosh(x)^2 + 8*(sqrt(2)*cosh(x)^7 - 9*sqrt(2)*cosh(x)^5 + 19*sqrt(2)*cosh(x)^3 - 3*sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 - 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 - 3)) + 16*(8*x*cosh(x)^7 - 3*(24*x + 17)*cosh(x)^5 + 38*(4*x + 3)*cosh(x)^3 - (24*x + 19)*cosh(x))*sinh(x) + 16*x + 24)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 - 3)*sinh(x)^6 - 12*cosh(x)^6 + 8*(7*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 - 90*cosh(x)^2 + 19)*sinh(x)^4 + 38*cosh(x)^4 + 8*(7*cosh(x)^5 - 30*cosh(x)^3 + 19*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 45*cosh(x)^4 + 57*cosh(x)^2 - 3)*sinh(x)^2 - 12*cosh(x)^2 + 8*(cosh(x)^7 - 9*cosh(x)^5 + 19*cosh(x)^3 - 3*cosh(x))*sinh(x) + 1)","B",0
820,1,67,0,0.450599," ","integrate(1/(coth(x)^2+csch(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 3}\right) + x"," ",0,"1/2*sqrt(2)*log((3*(2*sqrt(2) + 3)*cosh(x)^2 - 4*(3*sqrt(2) + 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) + 3)*sinh(x)^2 + 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 + 3)) + x","B",0
821,1,262,0,0.429757," ","integrate(1/(coth(x)^2+csch(x)^2)^2,x, algorithm=""fricas"")","\frac{4 \, x \cosh\left(x\right)^{4} + 16 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + 4 \, x \sinh\left(x\right)^{4} + 24 \, {\left(x + 1\right)} \cosh\left(x\right)^{2} + 24 \, {\left(x \cosh\left(x\right)^{2} + x + 1\right)} \sinh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right)^{4} + 4 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + \sqrt{2} \sinh\left(x\right)^{4} + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 6 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 3}\right) + 16 \, {\left(x \cosh\left(x\right)^{3} + 3 \, {\left(x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 4 \, x + 8}{4 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 6 \, {\left(\cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/4*(4*x*cosh(x)^4 + 16*x*cosh(x)*sinh(x)^3 + 4*x*sinh(x)^4 + 24*(x + 1)*cosh(x)^2 + 24*(x*cosh(x)^2 + x + 1)*sinh(x)^2 + (sqrt(2)*cosh(x)^4 + 4*sqrt(2)*cosh(x)*sinh(x)^3 + sqrt(2)*sinh(x)^4 + 6*(sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 6*sqrt(2)*cosh(x)^2 + 4*(sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log((3*(2*sqrt(2) + 3)*cosh(x)^2 - 4*(3*sqrt(2) + 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) + 3)*sinh(x)^2 + 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 + 3)) + 16*(x*cosh(x)^3 + 3*(x + 1)*cosh(x))*sinh(x) + 4*x + 8)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 6*(cosh(x)^2 + 1)*sinh(x)^2 + 6*cosh(x)^2 + 4*(cosh(x)^3 + 3*cosh(x))*sinh(x) + 1)","B",0
822,1,715,0,0.427200," ","integrate(1/(coth(x)^2+csch(x)^2)^3,x, algorithm=""fricas"")","\frac{16 \, x \cosh\left(x\right)^{8} + 128 \, x \cosh\left(x\right) \sinh\left(x\right)^{7} + 16 \, x \sinh\left(x\right)^{8} + 8 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{6} + 8 \, {\left(56 \, x \cosh\left(x\right)^{2} + 24 \, x + 17\right)} \sinh\left(x\right)^{6} + 16 \, {\left(56 \, x \cosh\left(x\right)^{3} + 3 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 152 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{4} + 8 \, {\left(140 \, x \cosh\left(x\right)^{4} + 15 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{2} + 76 \, x + 57\right)} \sinh\left(x\right)^{4} + 32 \, {\left(28 \, x \cosh\left(x\right)^{5} + 5 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{3} + 19 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 8 \, {\left(24 \, x + 19\right)} \cosh\left(x\right)^{2} + 8 \, {\left(56 \, x \cosh\left(x\right)^{6} + 15 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{4} + 114 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{2} + 24 \, x + 19\right)} \sinh\left(x\right)^{2} + 7 \, {\left(\sqrt{2} \cosh\left(x\right)^{8} + 8 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{7} + \sqrt{2} \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{2} + 3 \, \sqrt{2}\right)} \sinh\left(x\right)^{6} + 12 \, \sqrt{2} \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{3} + 9 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \sqrt{2} \cosh\left(x\right)^{4} + 90 \, \sqrt{2} \cosh\left(x\right)^{2} + 19 \, \sqrt{2}\right)} \sinh\left(x\right)^{4} + 38 \, \sqrt{2} \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{5} + 30 \, \sqrt{2} \cosh\left(x\right)^{3} + 19 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \sqrt{2} \cosh\left(x\right)^{6} + 45 \, \sqrt{2} \cosh\left(x\right)^{4} + 57 \, \sqrt{2} \cosh\left(x\right)^{2} + 3 \, \sqrt{2}\right)} \sinh\left(x\right)^{2} + 12 \, \sqrt{2} \cosh\left(x\right)^{2} + 8 \, {\left(\sqrt{2} \cosh\left(x\right)^{7} + 9 \, \sqrt{2} \cosh\left(x\right)^{5} + 19 \, \sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(\frac{3 \, {\left(2 \, \sqrt{2} + 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} + 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} + 3\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 3}\right) + 16 \, {\left(8 \, x \cosh\left(x\right)^{7} + 3 \, {\left(24 \, x + 17\right)} \cosh\left(x\right)^{5} + 38 \, {\left(4 \, x + 3\right)} \cosh\left(x\right)^{3} + {\left(24 \, x + 19\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 16 \, x + 24}{16 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{6} + 12 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 90 \, \cosh\left(x\right)^{2} + 19\right)} \sinh\left(x\right)^{4} + 38 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 30 \, \cosh\left(x\right)^{3} + 19 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 45 \, \cosh\left(x\right)^{4} + 57 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{2} + 12 \, \cosh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + 9 \, \cosh\left(x\right)^{5} + 19 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/16*(16*x*cosh(x)^8 + 128*x*cosh(x)*sinh(x)^7 + 16*x*sinh(x)^8 + 8*(24*x + 17)*cosh(x)^6 + 8*(56*x*cosh(x)^2 + 24*x + 17)*sinh(x)^6 + 16*(56*x*cosh(x)^3 + 3*(24*x + 17)*cosh(x))*sinh(x)^5 + 152*(4*x + 3)*cosh(x)^4 + 8*(140*x*cosh(x)^4 + 15*(24*x + 17)*cosh(x)^2 + 76*x + 57)*sinh(x)^4 + 32*(28*x*cosh(x)^5 + 5*(24*x + 17)*cosh(x)^3 + 19*(4*x + 3)*cosh(x))*sinh(x)^3 + 8*(24*x + 19)*cosh(x)^2 + 8*(56*x*cosh(x)^6 + 15*(24*x + 17)*cosh(x)^4 + 114*(4*x + 3)*cosh(x)^2 + 24*x + 19)*sinh(x)^2 + 7*(sqrt(2)*cosh(x)^8 + 8*sqrt(2)*cosh(x)*sinh(x)^7 + sqrt(2)*sinh(x)^8 + 4*(7*sqrt(2)*cosh(x)^2 + 3*sqrt(2))*sinh(x)^6 + 12*sqrt(2)*cosh(x)^6 + 8*(7*sqrt(2)*cosh(x)^3 + 9*sqrt(2)*cosh(x))*sinh(x)^5 + 2*(35*sqrt(2)*cosh(x)^4 + 90*sqrt(2)*cosh(x)^2 + 19*sqrt(2))*sinh(x)^4 + 38*sqrt(2)*cosh(x)^4 + 8*(7*sqrt(2)*cosh(x)^5 + 30*sqrt(2)*cosh(x)^3 + 19*sqrt(2)*cosh(x))*sinh(x)^3 + 4*(7*sqrt(2)*cosh(x)^6 + 45*sqrt(2)*cosh(x)^4 + 57*sqrt(2)*cosh(x)^2 + 3*sqrt(2))*sinh(x)^2 + 12*sqrt(2)*cosh(x)^2 + 8*(sqrt(2)*cosh(x)^7 + 9*sqrt(2)*cosh(x)^5 + 19*sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log((3*(2*sqrt(2) + 3)*cosh(x)^2 - 4*(3*sqrt(2) + 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) + 3)*sinh(x)^2 + 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 + 3)) + 16*(8*x*cosh(x)^7 + 3*(24*x + 17)*cosh(x)^5 + 38*(4*x + 3)*cosh(x)^3 + (24*x + 19)*cosh(x))*sinh(x) + 16*x + 24)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 + 3)*sinh(x)^6 + 12*cosh(x)^6 + 8*(7*cosh(x)^3 + 9*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 + 90*cosh(x)^2 + 19)*sinh(x)^4 + 38*cosh(x)^4 + 8*(7*cosh(x)^5 + 30*cosh(x)^3 + 19*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 45*cosh(x)^4 + 57*cosh(x)^2 + 3)*sinh(x)^2 + 12*cosh(x)^2 + 8*(cosh(x)^7 + 9*cosh(x)^5 + 19*cosh(x)^3 + 3*cosh(x))*sinh(x) + 1)","B",0
823,1,1,0,0.394476," ","integrate(1/(coth(x)^2-csch(x)^2),x, algorithm=""fricas"")","x"," ",0,"x","A",0
824,1,1,0,0.381633," ","integrate(1/(coth(x)^2-csch(x)^2)^2,x, algorithm=""fricas"")","x"," ",0,"x","A",0
825,1,1,0,0.379061," ","integrate(1/(coth(x)^2-csch(x)^2)^3,x, algorithm=""fricas"")","x"," ",0,"x","A",0
826,1,3313,0,0.590742," ","integrate(1/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c + \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c - {\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} + 2 \, {\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c - \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c - {\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} + 2 \, {\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c + \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c + {\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 2 \, {\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c - \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c + {\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c + 2 \, c^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 2 \, {\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"1/2*sqrt(2)*sqrt((b^2 - 2*a*c + 2*c^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c + sqrt(2)*(b^4 - 4*a*b^2*c - (a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c + 2*c^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) + 2*(4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((b^2 - 2*a*c + 2*c^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c - sqrt(2)*(b^4 - 4*a*b^2*c - (a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c + 2*c^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) + 2*(4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((b^2 - 2*a*c + 2*c^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c + sqrt(2)*(b^4 - 4*a*b^2*c + (a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c + 2*c^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 2*(4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((b^2 - 2*a*c + 2*c^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c - sqrt(2)*(b^4 - 4*a*b^2*c + (a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c + 2*c^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 2*(4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
827,1,3309,0,0.585389," ","integrate(sinh(x)/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} + \sqrt{2} {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c + {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} + 2 \, {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} - \sqrt{2} {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c + {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} + 2 \, {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} + \sqrt{2} {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 2 \, {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} - \sqrt{2} {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} + b^{2} - 2 \, a c - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 2 \, {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"-1/2*sqrt(2)*sqrt((2*a^2 + b^2 - 2*a*c + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 + sqrt(2)*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c + (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 + b^2 - 2*a*c + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) + 2*(a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((2*a^2 + b^2 - 2*a*c + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 - sqrt(2)*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c + (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 + b^2 - 2*a*c + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) + 2*(a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((2*a^2 + b^2 - 2*a*c - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 + sqrt(2)*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 + b^2 - 2*a*c - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 2*(a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((2*a^2 + b^2 - 2*a*c - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 - sqrt(2)*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 + b^2 - 2*a*c - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 2*(a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
828,1,4943,0,0.840088," ","integrate(sinh(x)^2/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""fricas"")","\frac{\sqrt{2} c \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} \log\left(-2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c + \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c^{2} + {\left(a^{2} b^{4} + b^{6}\right)} c + {\left(8 \, a^{2} c^{7} - 6 \, {\left(4 \, a^{3} + a b^{2}\right)} c^{6} + {\left(24 \, a^{4} + 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} - 2 \, {\left(4 \, a^{5} + 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} + {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{3} c^{5} - {\left(8 \, a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) - \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} \log\left(-2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c - \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c^{2} + {\left(a^{2} b^{4} + b^{6}\right)} c + {\left(8 \, a^{2} c^{7} - 6 \, {\left(4 \, a^{3} + a b^{2}\right)} c^{6} + {\left(24 \, a^{4} + 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} - 2 \, {\left(4 \, a^{5} + 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} + {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{3} c^{5} - {\left(8 \, a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) + \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} \log\left(-2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c + \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c^{2} + {\left(a^{2} b^{4} + b^{6}\right)} c - {\left(8 \, a^{2} c^{7} - 6 \, {\left(4 \, a^{3} + a b^{2}\right)} c^{6} + {\left(24 \, a^{4} + 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} - 2 \, {\left(4 \, a^{5} + 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} + {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{3} c^{5} - {\left(8 \, a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) - \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} \log\left(-2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c - \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c^{2} + {\left(a^{2} b^{4} + b^{6}\right)} c - {\left(8 \, a^{2} c^{7} - 6 \, {\left(4 \, a^{3} + a b^{2}\right)} c^{6} + {\left(24 \, a^{4} + 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} - 2 \, {\left(4 \, a^{5} + 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} + {\left(2 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} - {\left(8 \, a^{2} + b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} + b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} - {\left(a^{4} b + a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{3} c^{5} - {\left(8 \, a^{4} + a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} + 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} + a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} c}{4 \, a c^{9} - {\left(16 \, a^{2} + b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{7} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) + 2 \, x}{2 \, c}"," ",0,"1/2*(sqrt(2)*c*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c + (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2))*log(-2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c + sqrt(2)*(8*a^2*b^2*c^3 - 2*(2*a^3*b^2 + 3*a*b^4)*c^2 + (a^2*b^4 + b^6)*c + (8*a^2*c^7 - 6*(4*a^3 + a*b^2)*c^6 + (24*a^4 + 22*a^2*b^2 + b^4)*c^5 - 2*(4*a^5 + 9*a^3*b^2 + 4*a*b^4)*c^4 + (2*a^4*b^2 + 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c + (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*sinh(x) - 2*(4*a^3*c^5 - (8*a^4 + a^2*b^2)*c^4 + 2*(2*a^5 + 3*a^3*b^2)*c^3 - (a^4*b^2 + a^2*b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4))) - sqrt(2)*c*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c + (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2))*log(-2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c - sqrt(2)*(8*a^2*b^2*c^3 - 2*(2*a^3*b^2 + 3*a*b^4)*c^2 + (a^2*b^4 + b^6)*c + (8*a^2*c^7 - 6*(4*a^3 + a*b^2)*c^6 + (24*a^4 + 22*a^2*b^2 + b^4)*c^5 - 2*(4*a^5 + 9*a^3*b^2 + 4*a*b^4)*c^4 + (2*a^4*b^2 + 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c + (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*sinh(x) - 2*(4*a^3*c^5 - (8*a^4 + a^2*b^2)*c^4 + 2*(2*a^5 + 3*a^3*b^2)*c^3 - (a^4*b^2 + a^2*b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4))) + sqrt(2)*c*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c - (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2))*log(-2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c + sqrt(2)*(8*a^2*b^2*c^3 - 2*(2*a^3*b^2 + 3*a*b^4)*c^2 + (a^2*b^4 + b^6)*c - (8*a^2*c^7 - 6*(4*a^3 + a*b^2)*c^6 + (24*a^4 + 22*a^2*b^2 + b^4)*c^5 - 2*(4*a^5 + 9*a^3*b^2 + 4*a*b^4)*c^4 + (2*a^4*b^2 + 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c - (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*sinh(x) + 2*(4*a^3*c^5 - (8*a^4 + a^2*b^2)*c^4 + 2*(2*a^5 + 3*a^3*b^2)*c^3 - (a^4*b^2 + a^2*b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4))) - sqrt(2)*c*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c - (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2))*log(-2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c - sqrt(2)*(8*a^2*b^2*c^3 - 2*(2*a^3*b^2 + 3*a*b^4)*c^2 + (a^2*b^4 + b^6)*c - (8*a^2*c^7 - 6*(4*a^3 + a*b^2)*c^6 + (24*a^4 + 22*a^2*b^2 + b^4)*c^5 - 2*(4*a^5 + 9*a^3*b^2 + 4*a*b^4)*c^4 + (2*a^4*b^2 + 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 + b^4 + 2*a^2*c^2 - 2*(a^3 + 2*a*b^2)*c - (4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 - (8*a^2 + b^2)*c^4 + 2*(2*a^3 + 3*a*b^2)*c^3 - (a^2*b^2 + b^4)*c^2)) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 - (a^4*b + a^2*b^3)*c)*sinh(x) + 2*(4*a^3*c^5 - (8*a^4 + a^2*b^2)*c^4 + 2*(2*a^5 + 3*a^3*b^2)*c^3 - (a^4*b^2 + a^2*b^4)*c^2)*sqrt(-(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 - 4*(a^3*b^2 + a*b^4)*c)/(4*a*c^9 - (16*a^2 + b^2)*c^8 + 12*(2*a^3 + a*b^2)*c^7 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^4))) + 2*x)/c","B",0
829,1,6680,0,1.389478," ","integrate(sinh(x)^3/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(x\right) - c \cosh\left(x\right)^{2} - \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} \log\left(2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} - 4 \, {\left(a^{6} b^{2} + 2 \, a^{4} b^{4}\right)} c + \sqrt{2} {\left(12 \, a^{4} b c^{5} - {\left(20 \, a^{5} b + 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b + 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} + 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} c + {\left(12 \, a^{2} b c^{9} - 7 \, {\left(4 \, a^{3} b + a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b + 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} - {\left(4 \, a^{5} b + 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{4} c^{7} - {\left(8 \, a^{5} + a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} + a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) + \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} \log\left(2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} - 4 \, {\left(a^{6} b^{2} + 2 \, a^{4} b^{4}\right)} c - \sqrt{2} {\left(12 \, a^{4} b c^{5} - {\left(20 \, a^{5} b + 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b + 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} + 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} c + {\left(12 \, a^{2} b c^{9} - 7 \, {\left(4 \, a^{3} b + a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b + 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} - {\left(4 \, a^{5} b + 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{4} c^{7} - {\left(8 \, a^{5} + a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} + a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) - \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} \log\left(2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} - 4 \, {\left(a^{6} b^{2} + 2 \, a^{4} b^{4}\right)} c + \sqrt{2} {\left(12 \, a^{4} b c^{5} - {\left(20 \, a^{5} b + 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b + 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} + 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} c - {\left(12 \, a^{2} b c^{9} - 7 \, {\left(4 \, a^{3} b + a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b + 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} - {\left(4 \, a^{5} b + 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{4} c^{7} - {\left(8 \, a^{5} + a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} + a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) + \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} \log\left(2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} - 4 \, {\left(a^{6} b^{2} + 2 \, a^{4} b^{4}\right)} c - \sqrt{2} {\left(12 \, a^{4} b c^{5} - {\left(20 \, a^{5} b + 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b + 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} + 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} + 2 \, a^{2} b^{7} + b^{9}\right)} c - {\left(12 \, a^{2} b c^{9} - 7 \, {\left(4 \, a^{3} b + a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b + 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} - {\left(4 \, a^{5} b + 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} + b^{6} - 2 \, a^{3} c^{3} + {\left(2 \, a^{4} + 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} + 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} - {\left(8 \, a^{2} + b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} + b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} - 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3}\right)} c^{2} + {\left(a^{5} b^{3} + a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{4} c^{7} - {\left(8 \, a^{5} + a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} + a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} + 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} - 12 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} + 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} + 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} - {\left(16 \, a^{2} + b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{11} - 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) - c \sinh\left(x\right)^{2} + 2 \, {\left(b x - c \cosh\left(x\right)\right)} \sinh\left(x\right) - c}{2 \, {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*b*x*cosh(x) - c*cosh(x)^2 - sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c + (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4))*log(2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 - 4*(a^6*b^2 + 2*a^4*b^4)*c + sqrt(2)*(12*a^4*b*c^5 - (20*a^5*b + 31*a^3*b^3)*c^4 + (8*a^6*b + 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 + 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 + 2*a^2*b^7 + b^9)*c + (12*a^2*b*c^9 - 7*(4*a^3*b + a*b^3)*c^8 + (20*a^4*b + 27*a^2*b^3 + b^5)*c^7 - (4*a^5*b + 13*a^3*b^3 + 9*a*b^5)*c^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c + (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*sinh(x) + 2*(4*a^4*c^7 - (8*a^5 + a^3*b^2)*c^6 + 2*(2*a^6 + 3*a^4*b^2)*c^5 - (a^5*b^2 + a^3*b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8))) + sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c + (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4))*log(2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 - 4*(a^6*b^2 + 2*a^4*b^4)*c - sqrt(2)*(12*a^4*b*c^5 - (20*a^5*b + 31*a^3*b^3)*c^4 + (8*a^6*b + 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 + 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 + 2*a^2*b^7 + b^9)*c + (12*a^2*b*c^9 - 7*(4*a^3*b + a*b^3)*c^8 + (20*a^4*b + 27*a^2*b^3 + b^5)*c^7 - (4*a^5*b + 13*a^3*b^3 + 9*a*b^5)*c^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c + (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*sinh(x) + 2*(4*a^4*c^7 - (8*a^5 + a^3*b^2)*c^6 + 2*(2*a^6 + 3*a^4*b^2)*c^5 - (a^5*b^2 + a^3*b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8))) - sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c - (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4))*log(2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 - 4*(a^6*b^2 + 2*a^4*b^4)*c + sqrt(2)*(12*a^4*b*c^5 - (20*a^5*b + 31*a^3*b^3)*c^4 + (8*a^6*b + 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 + 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 + 2*a^2*b^7 + b^9)*c - (12*a^2*b*c^9 - 7*(4*a^3*b + a*b^3)*c^8 + (20*a^4*b + 27*a^2*b^3 + b^5)*c^7 - (4*a^5*b + 13*a^3*b^3 + 9*a*b^5)*c^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c - (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*sinh(x) - 2*(4*a^4*c^7 - (8*a^5 + a^3*b^2)*c^6 + 2*(2*a^6 + 3*a^4*b^2)*c^5 - (a^5*b^2 + a^3*b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8))) + sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c - (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4))*log(2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 - 4*(a^6*b^2 + 2*a^4*b^4)*c - sqrt(2)*(12*a^4*b*c^5 - (20*a^5*b + 31*a^3*b^3)*c^4 + (8*a^6*b + 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 + 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 + 2*a^2*b^7 + b^9)*c - (12*a^2*b*c^9 - 7*(4*a^3*b + a*b^3)*c^8 + (20*a^4*b + 27*a^2*b^3 + b^5)*c^7 - (4*a^5*b + 13*a^3*b^3 + 9*a*b^5)*c^6 + (a^4*b^3 + 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 + b^6 - 2*a^3*c^3 + (2*a^4 + 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 + 3*a*b^4)*c - (4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 - (8*a^2 + b^2)*c^6 + 2*(2*a^3 + 3*a*b^2)*c^5 - (a^2*b^2 + b^4)*c^4)) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 - 2*(a^6*b + 2*a^4*b^3)*c^2 + (a^5*b^3 + a^3*b^5)*c)*sinh(x) - 2*(4*a^4*c^7 - (8*a^5 + a^3*b^2)*c^6 + 2*(2*a^6 + 3*a^4*b^2)*c^5 - (a^5*b^2 + a^3*b^4)*c^4)*sqrt(-(a^4*b^6 + 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 - 12*(a^5*b^2 + 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 + 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 + 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 - (16*a^2 + b^2)*c^12 + 12*(2*a^3 + a*b^2)*c^11 - 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 + 2*a^2*b^4 + b^6)*c^8))) - c*sinh(x)^2 + 2*(b*x - c*cosh(x))*sinh(x) - c)/(c^2*cosh(x) + c^2*sinh(x))","B",0
830,1,57,0,0.427615," ","integrate((a+b*sinh(x))/(b^2-2*a*b*sinh(x)+a^2*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
831,1,6841,0,4.496173," ","integrate((d+e*sinh(x))/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(-2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} + 2 \, {\left(b^{3} + 2 \, a b c - 2 \, b c^{2}\right)} d^{3} e - 6 \, {\left(a b^{2} - b^{2} c\right)} d^{2} e^{2} + 2 \, {\left(2 \, a^{2} b - b^{3} - 2 \, a b c\right)} d e^{3} + \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} - b^{4} - 8 \, a^{3} c - 8 \, a c^{3} + 2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{2}\right)} d e^{2} + {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} e^{3} - {\left({\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) - 2 \, {\left({\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} + b^{5} - 4 \, a b c^{3} + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(-2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} + 2 \, {\left(b^{3} + 2 \, a b c - 2 \, b c^{2}\right)} d^{3} e - 6 \, {\left(a b^{2} - b^{2} c\right)} d^{2} e^{2} + 2 \, {\left(2 \, a^{2} b - b^{3} - 2 \, a b c\right)} d e^{3} - \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} - b^{4} - 8 \, a^{3} c - 8 \, a c^{3} + 2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{2}\right)} d e^{2} + {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} e^{3} - {\left({\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) - 2 \, {\left({\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} + b^{5} - 4 \, a b c^{3} + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(-2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} + 2 \, {\left(b^{3} + 2 \, a b c - 2 \, b c^{2}\right)} d^{3} e - 6 \, {\left(a b^{2} - b^{2} c\right)} d^{2} e^{2} + 2 \, {\left(2 \, a^{2} b - b^{3} - 2 \, a b c\right)} d e^{3} + \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} - b^{4} - 8 \, a^{3} c - 8 \, a c^{3} + 2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{2}\right)} d e^{2} + {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} e^{3} + {\left({\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) + 2 \, {\left({\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} + b^{5} - 4 \, a b c^{3} + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} \log\left(-2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} + 2 \, {\left(b^{3} + 2 \, a b c - 2 \, b c^{2}\right)} d^{3} e - 6 \, {\left(a b^{2} - b^{2} c\right)} d^{2} e^{2} + 2 \, {\left(2 \, a^{2} b - b^{3} - 2 \, a b c\right)} d e^{3} - \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} - b^{4} - 8 \, a^{3} c - 8 \, a c^{3} + 2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{2}\right)} d e^{2} + {\left(a b^{3} + 4 \, a b c^{2} - {\left(4 \, a^{2} b + b^{3}\right)} c\right)} e^{3} + {\left({\left(a^{2} b^{4} + b^{6} - 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} + b^{2}\right)} c^{4} - 6 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} + 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} + a b^{5} - 4 \, a b c^{4} + {\left(4 \, a^{2} b + b^{3}\right)} c^{3} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b + 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c + 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b + b c\right)} d e + {\left(2 \, a^{2} + b^{2} - 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} + b^{4} - 4 \, a c^{3} + {\left(8 \, a^{2} + b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c}} - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) - 4 \, {\left(b c^{2} d^{4} - a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} - 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c - b c^{2}\right)} d^{2} e^{2} + {\left(2 \, a c^{2} - {\left(2 \, a^{2} - b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) + 2 \, {\left({\left(4 \, a c^{4} - {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} + b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} + b^{5} - 4 \, a b c^{3} + {\left(8 \, a^{2} b + b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} + a b^{4} - 4 \, a^{2} c^{3} + {\left(8 \, a^{3} + a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b - b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} - b^{2} - 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} + 4 \, {\left(a b - b c\right)} d e^{3}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} + {\left(16 \, a^{2} + b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} + a b^{2}\right)} c^{3} + 2 \, {\left(8 \, a^{4} + 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} + 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"-1/2*sqrt(2)*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(-2*b^2*c*d^4 + 2*a*b^2*e^4 + 2*(b^3 + 2*a*b*c - 2*b*c^2)*d^3*e - 6*(a*b^2 - b^2*c)*d^2*e^2 + 2*(2*a^2*b - b^3 - 2*a*b*c)*d*e^3 + sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*d^2*e + (2*a^2*b^2 - b^4 - 8*a^3*c - 8*a*c^3 + 2*(8*a^2 + b^2)*c^2)*d*e^2 + (a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*e^3 - ((a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*d - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*cosh(x) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*sinh(x) - 2*((4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*d^2 + (a^2*b^3 + b^5 - 4*a*b*c^3 + (8*a^2*b + b^3)*c^2 - 2*(2*a^3*b + 3*a*b^3)*c)*d*e - (a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(-2*b^2*c*d^4 + 2*a*b^2*e^4 + 2*(b^3 + 2*a*b*c - 2*b*c^2)*d^3*e - 6*(a*b^2 - b^2*c)*d^2*e^2 + 2*(2*a^2*b - b^3 - 2*a*b*c)*d*e^3 - sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*d^2*e + (2*a^2*b^2 - b^4 - 8*a^3*c - 8*a*c^3 + 2*(8*a^2 + b^2)*c^2)*d*e^2 + (a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*e^3 - ((a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*d - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 + (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*cosh(x) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*sinh(x) - 2*((4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*d^2 + (a^2*b^3 + b^5 - 4*a*b*c^3 + (8*a^2*b + b^3)*c^2 - 2*(2*a^3*b + 3*a*b^3)*c)*d*e - (a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(-2*b^2*c*d^4 + 2*a*b^2*e^4 + 2*(b^3 + 2*a*b*c - 2*b*c^2)*d^3*e - 6*(a*b^2 - b^2*c)*d^2*e^2 + 2*(2*a^2*b - b^3 - 2*a*b*c)*d*e^3 + sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*d^2*e + (2*a^2*b^2 - b^4 - 8*a^3*c - 8*a*c^3 + 2*(8*a^2 + b^2)*c^2)*d*e^2 + (a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*e^3 + ((a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*d - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*cosh(x) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*sinh(x) + 2*((4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*d^2 + (a^2*b^3 + b^5 - 4*a*b*c^3 + (8*a^2*b + b^3)*c^2 - 2*(2*a^3*b + 3*a*b^3)*c)*d*e - (a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c))*log(-2*b^2*c*d^4 + 2*a*b^2*e^4 + 2*(b^3 + 2*a*b*c - 2*b*c^2)*d^3*e - 6*(a*b^2 - b^2*c)*d^2*e^2 + 2*(2*a^2*b - b^3 - 2*a*b*c)*d*e^3 - sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*d^2*e + (2*a^2*b^2 - b^4 - 8*a^3*c - 8*a*c^3 + 2*(8*a^2 + b^2)*c^2)*d*e^2 + (a*b^3 + 4*a*b*c^2 - (4*a^2*b + b^3)*c)*e^3 + ((a^2*b^4 + b^6 - 8*a*c^5 + 2*(12*a^2 + b^2)*c^4 - 6*(4*a^3 + 3*a*b^2)*c^3 + (8*a^4 + 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 + 4*a*b^4)*c)*d - (a^3*b^3 + a*b^5 - 4*a*b*c^4 + (4*a^2*b + b^3)*c^3 + (4*a^3*b - 5*a*b^3)*c^2 - (4*a^4*b + 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c + 2*c^2)*d^2 - 2*(a*b + b*c)*d*e + (2*a^2 + b^2 - 2*a*c)*e^2 - (a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 + b^4 - 4*a*c^3 + (8*a^2 + b^2)*c^2 - 2*(2*a^3 + 3*a*b^2)*c)) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*cosh(x) - 4*(b*c^2*d^4 - a*b*c*e^4 - (b^2*c + 2*a*c^2 - 2*c^3)*d^3*e + 3*(a*b*c - b*c^2)*d^2*e^2 + (2*a*c^2 - (2*a^2 - b^2)*c)*d*e^3)*sinh(x) + 2*((4*a*c^4 - (8*a^2 + b^2)*c^3 + 2*(2*a^3 + 3*a*b^2)*c^2 - (a^2*b^2 + b^4)*c)*d^2 + (a^2*b^3 + b^5 - 4*a*b*c^3 + (8*a^2*b + b^3)*c^2 - 2*(2*a^3*b + 3*a*b^3)*c)*d*e - (a^3*b^2 + a*b^4 - 4*a^2*c^3 + (8*a^3 + a*b^2)*c^2 - 2*(2*a^4 + 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b - b*c)*d^3*e + 2*(2*a^2 - b^2 - 4*a*c + 2*c^2)*d^2*e^2 + 4*(a*b - b*c)*d*e^3)/(a^4*b^2 + 2*a^2*b^4 + b^6 - 4*a*c^5 + (16*a^2 + b^2)*c^4 - 12*(2*a^3 + a*b^2)*c^3 + 2*(8*a^4 + 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 + 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
832,1,3485,0,0.599602," ","integrate(1/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c + \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c - {\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 2 \, {\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c - \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c - {\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 2 \, {\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c + \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c + {\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} - 2 \, {\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, b c^{2} \cosh\left(x\right) + 4 \, b c^{2} \sinh\left(x\right) + 2 \, b^{2} c - \sqrt{2} {\left(b^{4} - 4 \, a b^{2} c + {\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{b^{2} - 2 \, a c - 2 \, c^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} - 2 \, {\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"1/2*sqrt(2)*sqrt((b^2 - 2*a*c - 2*c^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c + sqrt(2)*(b^4 - 4*a*b^2*c - (a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c - 2*c^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 2*(4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((b^2 - 2*a*c - 2*c^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c - sqrt(2)*(b^4 - 4*a*b^2*c - (a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c - 2*c^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 2*(4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((b^2 - 2*a*c - 2*c^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c + sqrt(2)*(b^4 - 4*a*b^2*c + (a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c - 2*c^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) - 2*(4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((b^2 - 2*a*c - 2*c^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*b*c^2*cosh(x) + 4*b*c^2*sinh(x) + 2*b^2*c - sqrt(2)*(b^4 - 4*a*b^2*c + (a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((b^2 - 2*a*c - 2*c^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) - 2*(4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
833,1,3505,0,0.609178," ","integrate(cosh(x)/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} + \sqrt{2} {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} - 2 \, {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} - \sqrt{2} {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} - 2 \, {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} + \sqrt{2} {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c + {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 2 \, {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(4 \, a b c \cosh\left(x\right) + 4 \, a b c \sinh\left(x\right) + 2 \, a b^{2} - \sqrt{2} {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c + {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{2 \, a^{2} - b^{2} + 2 \, a c - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 2 \, {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} \sqrt{\frac{b^{2}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"-1/2*sqrt(2)*sqrt((2*a^2 - b^2 + 2*a*c + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 + sqrt(2)*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 - b^2 + 2*a*c + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) - 2*(a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((2*a^2 - b^2 + 2*a*c + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 - sqrt(2)*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 - b^2 + 2*a*c + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) - 2*(a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt((2*a^2 - b^2 + 2*a*c - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 + sqrt(2)*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c + (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 - b^2 + 2*a*c - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 2*(a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt((2*a^2 - b^2 + 2*a*c - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(4*a*b*c*cosh(x) + 4*a*b*c*sinh(x) + 2*a*b^2 - sqrt(2)*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c + (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt((2*a^2 - b^2 + 2*a*c - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 2*(a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*sqrt(b^2/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
834,1,5079,0,0.862111," ","integrate(cosh(x)^2/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""fricas"")","-\frac{\sqrt{2} c \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} \log\left(2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c + \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} + 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c^{2} - {\left(a^{2} b^{4} - b^{6}\right)} c - {\left(8 \, a^{2} c^{7} + 6 \, {\left(4 \, a^{3} - a b^{2}\right)} c^{6} + {\left(24 \, a^{4} - 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} + 2 \, {\left(4 \, a^{5} - 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} - {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{3} c^{5} + {\left(8 \, a^{4} - a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} - a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) - \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} \log\left(2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c - \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} + 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c^{2} - {\left(a^{2} b^{4} - b^{6}\right)} c - {\left(8 \, a^{2} c^{7} + 6 \, {\left(4 \, a^{3} - a b^{2}\right)} c^{6} + {\left(24 \, a^{4} - 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} + 2 \, {\left(4 \, a^{5} - 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} - {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c + {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{3} c^{5} + {\left(8 \, a^{4} - a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} - a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) + \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} \log\left(2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c + \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} + 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c^{2} - {\left(a^{2} b^{4} - b^{6}\right)} c + {\left(8 \, a^{2} c^{7} + 6 \, {\left(4 \, a^{3} - a b^{2}\right)} c^{6} + {\left(24 \, a^{4} - 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} + 2 \, {\left(4 \, a^{5} - 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} - {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{3} c^{5} + {\left(8 \, a^{4} - a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} - a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) - \sqrt{2} c \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} \log\left(2 \, a^{4} b^{2} - 2 \, a^{2} b^{4} + 4 \, a^{3} b^{2} c - \sqrt{2} {\left(8 \, a^{2} b^{2} c^{3} + 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c^{2} - {\left(a^{2} b^{4} - b^{6}\right)} c + {\left(8 \, a^{2} c^{7} + 6 \, {\left(4 \, a^{3} - a b^{2}\right)} c^{6} + {\left(24 \, a^{4} - 22 \, a^{2} b^{2} + b^{4}\right)} c^{5} + 2 \, {\left(4 \, a^{5} - 9 \, a^{3} b^{2} + 4 \, a b^{4}\right)} c^{4} - {\left(2 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + b^{6}\right)} c^{3}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right)} \sqrt{-\frac{a^{2} b^{2} - b^{4} - 2 \, a^{2} c^{2} - 2 \, {\left(a^{3} - 2 \, a b^{2}\right)} c - {\left(4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}}{4 \, a c^{5} + {\left(8 \, a^{2} - b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{3} - {\left(a^{2} b^{2} - b^{4}\right)} c^{2}}} + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(2 \, a^{3} b c^{2} + {\left(a^{4} b - a^{2} b^{3}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{3} c^{5} + {\left(8 \, a^{4} - a^{2} b^{2}\right)} c^{4} + 2 \, {\left(2 \, a^{5} - 3 \, a^{3} b^{2}\right)} c^{3} - {\left(a^{4} b^{2} - a^{2} b^{4}\right)} c^{2}\right)} \sqrt{-\frac{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} + 4 \, a^{2} b^{2} c^{2} + 4 \, {\left(a^{3} b^{2} - a b^{4}\right)} c}{4 \, a c^{9} + {\left(16 \, a^{2} - b^{2}\right)} c^{8} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{7} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{6} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{5} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{4}}}\right) - 2 \, x}{2 \, c}"," ",0,"-1/2*(sqrt(2)*c*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c + (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2))*log(2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c + sqrt(2)*(8*a^2*b^2*c^3 + 2*(2*a^3*b^2 - 3*a*b^4)*c^2 - (a^2*b^4 - b^6)*c - (8*a^2*c^7 + 6*(4*a^3 - a*b^2)*c^6 + (24*a^4 - 22*a^2*b^2 + b^4)*c^5 + 2*(4*a^5 - 9*a^3*b^2 + 4*a*b^4)*c^4 - (2*a^4*b^2 - 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c + (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*sinh(x) + 2*(4*a^3*c^5 + (8*a^4 - a^2*b^2)*c^4 + 2*(2*a^5 - 3*a^3*b^2)*c^3 - (a^4*b^2 - a^2*b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4))) - sqrt(2)*c*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c + (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2))*log(2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c - sqrt(2)*(8*a^2*b^2*c^3 + 2*(2*a^3*b^2 - 3*a*b^4)*c^2 - (a^2*b^4 - b^6)*c - (8*a^2*c^7 + 6*(4*a^3 - a*b^2)*c^6 + (24*a^4 - 22*a^2*b^2 + b^4)*c^5 + 2*(4*a^5 - 9*a^3*b^2 + 4*a*b^4)*c^4 - (2*a^4*b^2 - 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c + (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*sinh(x) + 2*(4*a^3*c^5 + (8*a^4 - a^2*b^2)*c^4 + 2*(2*a^5 - 3*a^3*b^2)*c^3 - (a^4*b^2 - a^2*b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4))) + sqrt(2)*c*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c - (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2))*log(2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c + sqrt(2)*(8*a^2*b^2*c^3 + 2*(2*a^3*b^2 - 3*a*b^4)*c^2 - (a^2*b^4 - b^6)*c + (8*a^2*c^7 + 6*(4*a^3 - a*b^2)*c^6 + (24*a^4 - 22*a^2*b^2 + b^4)*c^5 + 2*(4*a^5 - 9*a^3*b^2 + 4*a*b^4)*c^4 - (2*a^4*b^2 - 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c - (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*sinh(x) - 2*(4*a^3*c^5 + (8*a^4 - a^2*b^2)*c^4 + 2*(2*a^5 - 3*a^3*b^2)*c^3 - (a^4*b^2 - a^2*b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4))) - sqrt(2)*c*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c - (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2))*log(2*a^4*b^2 - 2*a^2*b^4 + 4*a^3*b^2*c - sqrt(2)*(8*a^2*b^2*c^3 + 2*(2*a^3*b^2 - 3*a*b^4)*c^2 - (a^2*b^4 - b^6)*c + (8*a^2*c^7 + 6*(4*a^3 - a*b^2)*c^6 + (24*a^4 - 22*a^2*b^2 + b^4)*c^5 + 2*(4*a^5 - 9*a^3*b^2 + 4*a*b^4)*c^4 - (2*a^4*b^2 - 3*a^2*b^4 + b^6)*c^3)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))*sqrt(-(a^2*b^2 - b^4 - 2*a^2*c^2 - 2*(a^3 - 2*a*b^2)*c - (4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4)))/(4*a*c^5 + (8*a^2 - b^2)*c^4 + 2*(2*a^3 - 3*a*b^2)*c^3 - (a^2*b^2 - b^4)*c^2)) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*cosh(x) + 4*(2*a^3*b*c^2 + (a^4*b - a^2*b^3)*c)*sinh(x) - 2*(4*a^3*c^5 + (8*a^4 - a^2*b^2)*c^4 + 2*(2*a^5 - 3*a^3*b^2)*c^3 - (a^4*b^2 - a^2*b^4)*c^2)*sqrt(-(a^4*b^2 - 2*a^2*b^4 + b^6 + 4*a^2*b^2*c^2 + 4*(a^3*b^2 - a*b^4)*c)/(4*a*c^9 + (16*a^2 - b^2)*c^8 + 12*(2*a^3 - a*b^2)*c^7 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^6 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^5 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^4))) - 2*x)/c","B",0
835,1,6794,0,1.404013," ","integrate(cosh(x)^3/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""fricas"")","-\frac{2 \, b x \cosh\left(x\right) - c \cosh\left(x\right)^{2} + \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} \log\left(-2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c + \sqrt{2} {\left(12 \, a^{4} b c^{5} + {\left(20 \, a^{5} b - 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b - 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} - 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} - 2 \, a^{2} b^{7} + b^{9}\right)} c - {\left(12 \, a^{2} b c^{9} + 7 \, {\left(4 \, a^{3} b - a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b - 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} + {\left(4 \, a^{5} b - 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} - {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{4} c^{7} + {\left(8 \, a^{5} - a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} - 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} - a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) - \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} \log\left(-2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c - \sqrt{2} {\left(12 \, a^{4} b c^{5} + {\left(20 \, a^{5} b - 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b - 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} - 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} - 2 \, a^{2} b^{7} + b^{9}\right)} c - {\left(12 \, a^{2} b c^{9} + 7 \, {\left(4 \, a^{3} b - a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b - 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} + {\left(4 \, a^{5} b - 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} - {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c + {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) - 2 \, {\left(4 \, a^{4} c^{7} + {\left(8 \, a^{5} - a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} - 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} - a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) + \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} \log\left(-2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c + \sqrt{2} {\left(12 \, a^{4} b c^{5} + {\left(20 \, a^{5} b - 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b - 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} - 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} - 2 \, a^{2} b^{7} + b^{9}\right)} c + {\left(12 \, a^{2} b c^{9} + 7 \, {\left(4 \, a^{3} b - a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b - 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} + {\left(4 \, a^{5} b - 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} - {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{4} c^{7} + {\left(8 \, a^{5} - a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} - 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} - a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) - \sqrt{2} {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} \log\left(-2 \, a^{5} b^{4} + 2 \, a^{3} b^{6} + 6 \, a^{5} b^{2} c^{2} + 4 \, {\left(a^{6} b^{2} - 2 \, a^{4} b^{4}\right)} c - \sqrt{2} {\left(12 \, a^{4} b c^{5} + {\left(20 \, a^{5} b - 31 \, a^{3} b^{3}\right)} c^{4} + {\left(8 \, a^{6} b - 33 \, a^{4} b^{3} + 27 \, a^{2} b^{5}\right)} c^{3} - 3 \, {\left(2 \, a^{5} b^{3} - 5 \, a^{3} b^{5} + 3 \, a b^{7}\right)} c^{2} + {\left(a^{4} b^{5} - 2 \, a^{2} b^{7} + b^{9}\right)} c + {\left(12 \, a^{2} b c^{9} + 7 \, {\left(4 \, a^{3} b - a b^{3}\right)} c^{8} + {\left(20 \, a^{4} b - 27 \, a^{2} b^{3} + b^{5}\right)} c^{7} + {\left(4 \, a^{5} b - 13 \, a^{3} b^{3} + 9 \, a b^{5}\right)} c^{6} - {\left(a^{4} b^{3} - 2 \, a^{2} b^{5} + b^{7}\right)} c^{5}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right)} \sqrt{-\frac{a^{2} b^{4} - b^{6} + 2 \, a^{3} c^{3} + {\left(2 \, a^{4} - 9 \, a^{2} b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} c - {\left(4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}}{4 \, a c^{7} + {\left(8 \, a^{2} - b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{5} - {\left(a^{2} b^{2} - b^{4}\right)} c^{4}}} + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \cosh\left(x\right) + 4 \, {\left(3 \, a^{5} b c^{3} + 2 \, {\left(a^{6} b - 2 \, a^{4} b^{3}\right)} c^{2} - {\left(a^{5} b^{3} - a^{3} b^{5}\right)} c\right)} \sinh\left(x\right) + 2 \, {\left(4 \, a^{4} c^{7} + {\left(8 \, a^{5} - a^{3} b^{2}\right)} c^{6} + 2 \, {\left(2 \, a^{6} - 3 \, a^{4} b^{2}\right)} c^{5} - {\left(a^{5} b^{2} - a^{3} b^{4}\right)} c^{4}\right)} \sqrt{-\frac{a^{4} b^{6} - 2 \, a^{2} b^{8} + b^{10} + 9 \, a^{4} b^{2} c^{4} + 12 \, {\left(a^{5} b^{2} - 2 \, a^{3} b^{4}\right)} c^{3} + 2 \, {\left(2 \, a^{6} b^{2} - 11 \, a^{4} b^{4} + 11 \, a^{2} b^{6}\right)} c^{2} - 4 \, {\left(a^{5} b^{4} - 3 \, a^{3} b^{6} + 2 \, a b^{8}\right)} c}{4 \, a c^{13} + {\left(16 \, a^{2} - b^{2}\right)} c^{12} + 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{11} + 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{10} + 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c^{9} - {\left(a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6}\right)} c^{8}}}\right) - c \sinh\left(x\right)^{2} + 2 \, {\left(b x - c \cosh\left(x\right)\right)} \sinh\left(x\right) + c}{2 \, {\left(c^{2} \cosh\left(x\right) + c^{2} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*b*x*cosh(x) - c*cosh(x)^2 + sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c + (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4))*log(-2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 + 4*(a^6*b^2 - 2*a^4*b^4)*c + sqrt(2)*(12*a^4*b*c^5 + (20*a^5*b - 31*a^3*b^3)*c^4 + (8*a^6*b - 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 - 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 - 2*a^2*b^7 + b^9)*c - (12*a^2*b*c^9 + 7*(4*a^3*b - a*b^3)*c^8 + (20*a^4*b - 27*a^2*b^3 + b^5)*c^7 + (4*a^5*b - 13*a^3*b^3 + 9*a*b^5)*c^6 - (a^4*b^3 - 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c + (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*sinh(x) - 2*(4*a^4*c^7 + (8*a^5 - a^3*b^2)*c^6 + 2*(2*a^6 - 3*a^4*b^2)*c^5 - (a^5*b^2 - a^3*b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8))) - sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c + (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4))*log(-2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 + 4*(a^6*b^2 - 2*a^4*b^4)*c - sqrt(2)*(12*a^4*b*c^5 + (20*a^5*b - 31*a^3*b^3)*c^4 + (8*a^6*b - 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 - 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 - 2*a^2*b^7 + b^9)*c - (12*a^2*b*c^9 + 7*(4*a^3*b - a*b^3)*c^8 + (20*a^4*b - 27*a^2*b^3 + b^5)*c^7 + (4*a^5*b - 13*a^3*b^3 + 9*a*b^5)*c^6 - (a^4*b^3 - 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c + (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*sinh(x) - 2*(4*a^4*c^7 + (8*a^5 - a^3*b^2)*c^6 + 2*(2*a^6 - 3*a^4*b^2)*c^5 - (a^5*b^2 - a^3*b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8))) + sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c - (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4))*log(-2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 + 4*(a^6*b^2 - 2*a^4*b^4)*c + sqrt(2)*(12*a^4*b*c^5 + (20*a^5*b - 31*a^3*b^3)*c^4 + (8*a^6*b - 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 - 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 - 2*a^2*b^7 + b^9)*c + (12*a^2*b*c^9 + 7*(4*a^3*b - a*b^3)*c^8 + (20*a^4*b - 27*a^2*b^3 + b^5)*c^7 + (4*a^5*b - 13*a^3*b^3 + 9*a*b^5)*c^6 - (a^4*b^3 - 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c - (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*sinh(x) + 2*(4*a^4*c^7 + (8*a^5 - a^3*b^2)*c^6 + 2*(2*a^6 - 3*a^4*b^2)*c^5 - (a^5*b^2 - a^3*b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8))) - sqrt(2)*(c^2*cosh(x) + c^2*sinh(x))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c - (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4))*log(-2*a^5*b^4 + 2*a^3*b^6 + 6*a^5*b^2*c^2 + 4*(a^6*b^2 - 2*a^4*b^4)*c - sqrt(2)*(12*a^4*b*c^5 + (20*a^5*b - 31*a^3*b^3)*c^4 + (8*a^6*b - 33*a^4*b^3 + 27*a^2*b^5)*c^3 - 3*(2*a^5*b^3 - 5*a^3*b^5 + 3*a*b^7)*c^2 + (a^4*b^5 - 2*a^2*b^7 + b^9)*c + (12*a^2*b*c^9 + 7*(4*a^3*b - a*b^3)*c^8 + (20*a^4*b - 27*a^2*b^3 + b^5)*c^7 + (4*a^5*b - 13*a^3*b^3 + 9*a*b^5)*c^6 - (a^4*b^3 - 2*a^2*b^5 + b^7)*c^5)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))*sqrt(-(a^2*b^4 - b^6 + 2*a^3*c^3 + (2*a^4 - 9*a^2*b^2)*c^2 - 2*(2*a^3*b^2 - 3*a*b^4)*c - (4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8)))/(4*a*c^7 + (8*a^2 - b^2)*c^6 + 2*(2*a^3 - 3*a*b^2)*c^5 - (a^2*b^2 - b^4)*c^4)) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*cosh(x) + 4*(3*a^5*b*c^3 + 2*(a^6*b - 2*a^4*b^3)*c^2 - (a^5*b^3 - a^3*b^5)*c)*sinh(x) + 2*(4*a^4*c^7 + (8*a^5 - a^3*b^2)*c^6 + 2*(2*a^6 - 3*a^4*b^2)*c^5 - (a^5*b^2 - a^3*b^4)*c^4)*sqrt(-(a^4*b^6 - 2*a^2*b^8 + b^10 + 9*a^4*b^2*c^4 + 12*(a^5*b^2 - 2*a^3*b^4)*c^3 + 2*(2*a^6*b^2 - 11*a^4*b^4 + 11*a^2*b^6)*c^2 - 4*(a^5*b^4 - 3*a^3*b^6 + 2*a*b^8)*c)/(4*a*c^13 + (16*a^2 - b^2)*c^12 + 12*(2*a^3 - a*b^2)*c^11 + 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^10 + 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c^9 - (a^4*b^2 - 2*a^2*b^4 + b^6)*c^8))) - c*sinh(x)^2 + 2*(b*x - c*cosh(x))*sinh(x) + c)/(c^2*cosh(x) + c^2*sinh(x))","B",0
836,1,54,0,0.418213," ","integrate((a+b*cosh(x))/(b^2+2*a*b*cosh(x)+a^2*cosh(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
837,1,6997,0,4.585965," ","integrate((d+e*cosh(x))/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} - 2 \, {\left(b^{3} + 2 \, a b c + 2 \, b c^{2}\right)} d^{3} e + 6 \, {\left(a b^{2} + b^{2} c\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{2} b + b^{3} + 2 \, a b c\right)} d e^{3} + \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} + b^{4} - 8 \, a^{3} c - 8 \, a c^{3} - 2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{2}\right)} d e^{2} - {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} e^{3} - {\left({\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) + 2 \, {\left({\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} - b^{5} - 4 \, a b c^{3} - {\left(8 \, a^{2} b - b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} - 2 \, {\left(b^{3} + 2 \, a b c + 2 \, b c^{2}\right)} d^{3} e + 6 \, {\left(a b^{2} + b^{2} c\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{2} b + b^{3} + 2 \, a b c\right)} d e^{3} - \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} + b^{4} - 8 \, a^{3} c - 8 \, a c^{3} - 2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{2}\right)} d e^{2} - {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} e^{3} - {\left({\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} + {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) + 2 \, {\left({\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} - b^{5} - 4 \, a b c^{3} - {\left(8 \, a^{2} b - b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} - 2 \, {\left(b^{3} + 2 \, a b c + 2 \, b c^{2}\right)} d^{3} e + 6 \, {\left(a b^{2} + b^{2} c\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{2} b + b^{3} + 2 \, a b c\right)} d e^{3} + \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} + b^{4} - 8 \, a^{3} c - 8 \, a c^{3} - 2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{2}\right)} d e^{2} - {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} e^{3} + {\left({\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) - 2 \, {\left({\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} - b^{5} - 4 \, a b c^{3} - {\left(8 \, a^{2} b - b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right) - \frac{1}{2} \, \sqrt{2} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} \log\left(2 \, b^{2} c d^{4} + 2 \, a b^{2} e^{4} - 2 \, {\left(b^{3} + 2 \, a b c + 2 \, b c^{2}\right)} d^{3} e + 6 \, {\left(a b^{2} + b^{2} c\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{2} b + b^{3} + 2 \, a b c\right)} d e^{3} - \sqrt{2} {\left({\left(b^{4} - 4 \, a b^{2} c\right)} d^{3} - 3 \, {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} d^{2} e + {\left(2 \, a^{2} b^{2} + b^{4} - 8 \, a^{3} c - 8 \, a c^{3} - 2 \, {\left(8 \, a^{2} - b^{2}\right)} c^{2}\right)} d e^{2} - {\left(a b^{3} - 4 \, a b c^{2} - {\left(4 \, a^{2} b - b^{3}\right)} c\right)} e^{3} + {\left({\left(a^{2} b^{4} - b^{6} + 8 \, a c^{5} + 2 \, {\left(12 \, a^{2} - b^{2}\right)} c^{4} + 6 \, {\left(4 \, a^{3} - 3 \, a b^{2}\right)} c^{3} + {\left(8 \, a^{4} - 22 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2} - 2 \, {\left(3 \, a^{3} b^{2} - 4 \, a b^{4}\right)} c\right)} d - {\left(a^{3} b^{3} - a b^{5} + 4 \, a b c^{4} + {\left(4 \, a^{2} b - b^{3}\right)} c^{3} - {\left(4 \, a^{3} b + 5 \, a b^{3}\right)} c^{2} - {\left(4 \, a^{4} b - 5 \, a^{2} b^{3} - b^{5}\right)} c\right)} e\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)} \sqrt{\frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} d^{2} - 2 \, {\left(a b - b c\right)} d e + {\left(2 \, a^{2} - b^{2} + 2 \, a c\right)} e^{2} - {\left(a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}}{a^{2} b^{2} - b^{4} - 4 \, a c^{3} - {\left(8 \, a^{2} - b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c}} + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \cosh\left(x\right) + 4 \, {\left(b c^{2} d^{4} + a b c e^{4} - {\left(b^{2} c + 2 \, a c^{2} + 2 \, c^{3}\right)} d^{3} e + 3 \, {\left(a b c + b c^{2}\right)} d^{2} e^{2} - {\left(2 \, a c^{2} + {\left(2 \, a^{2} + b^{2}\right)} c\right)} d e^{3}\right)} \sinh\left(x\right) - 2 \, {\left({\left(4 \, a c^{4} + {\left(8 \, a^{2} - b^{2}\right)} c^{3} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} c^{2} - {\left(a^{2} b^{2} - b^{4}\right)} c\right)} d^{2} + {\left(a^{2} b^{3} - b^{5} - 4 \, a b c^{3} - {\left(8 \, a^{2} b - b^{3}\right)} c^{2} - 2 \, {\left(2 \, a^{3} b - 3 \, a b^{3}\right)} c\right)} d e - {\left(a^{3} b^{2} - a b^{4} - 4 \, a^{2} c^{3} - {\left(8 \, a^{3} - a b^{2}\right)} c^{2} - 2 \, {\left(2 \, a^{4} - 3 \, a^{2} b^{2}\right)} c\right)} e^{2}\right)} \sqrt{\frac{b^{2} d^{4} + b^{2} e^{4} - 4 \, {\left(a b + b c\right)} d^{3} e + 2 \, {\left(2 \, a^{2} + b^{2} + 4 \, a c + 2 \, c^{2}\right)} d^{2} e^{2} - 4 \, {\left(a b + b c\right)} d e^{3}}{a^{4} b^{2} - 2 \, a^{2} b^{4} + b^{6} - 4 \, a c^{5} - {\left(16 \, a^{2} - b^{2}\right)} c^{4} - 12 \, {\left(2 \, a^{3} - a b^{2}\right)} c^{3} - 2 \, {\left(8 \, a^{4} - 11 \, a^{2} b^{2} + b^{4}\right)} c^{2} - 4 \, {\left(a^{5} - 3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} c}}\right)"," ",0,"1/2*sqrt(2)*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(2*b^2*c*d^4 + 2*a*b^2*e^4 - 2*(b^3 + 2*a*b*c + 2*b*c^2)*d^3*e + 6*(a*b^2 + b^2*c)*d^2*e^2 - 2*(2*a^2*b + b^3 + 2*a*b*c)*d*e^3 + sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*d^2*e + (2*a^2*b^2 + b^4 - 8*a^3*c - 8*a*c^3 - 2*(8*a^2 - b^2)*c^2)*d*e^2 - (a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*e^3 - ((a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*d - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*cosh(x) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*sinh(x) + 2*((4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*d^2 + (a^2*b^3 - b^5 - 4*a*b*c^3 - (8*a^2*b - b^3)*c^2 - 2*(2*a^3*b - 3*a*b^3)*c)*d*e - (a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(2*b^2*c*d^4 + 2*a*b^2*e^4 - 2*(b^3 + 2*a*b*c + 2*b*c^2)*d^3*e + 6*(a*b^2 + b^2*c)*d^2*e^2 - 2*(2*a^2*b + b^3 + 2*a*b*c)*d*e^3 - sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*d^2*e + (2*a^2*b^2 + b^4 - 8*a^3*c - 8*a*c^3 - 2*(8*a^2 - b^2)*c^2)*d*e^2 - (a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*e^3 - ((a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*d - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 + (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*cosh(x) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*sinh(x) + 2*((4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*d^2 + (a^2*b^3 - b^5 - 4*a*b*c^3 - (8*a^2*b - b^3)*c^2 - 2*(2*a^3*b - 3*a*b^3)*c)*d*e - (a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) + 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(2*b^2*c*d^4 + 2*a*b^2*e^4 - 2*(b^3 + 2*a*b*c + 2*b*c^2)*d^3*e + 6*(a*b^2 + b^2*c)*d^2*e^2 - 2*(2*a^2*b + b^3 + 2*a*b*c)*d*e^3 + sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*d^2*e + (2*a^2*b^2 + b^4 - 8*a^3*c - 8*a*c^3 - 2*(8*a^2 - b^2)*c^2)*d*e^2 - (a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*e^3 + ((a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*d - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*cosh(x) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*sinh(x) - 2*((4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*d^2 + (a^2*b^3 - b^5 - 4*a*b*c^3 - (8*a^2*b - b^3)*c^2 - 2*(2*a^3*b - 3*a*b^3)*c)*d*e - (a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c))) - 1/2*sqrt(2)*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c))*log(2*b^2*c*d^4 + 2*a*b^2*e^4 - 2*(b^3 + 2*a*b*c + 2*b*c^2)*d^3*e + 6*(a*b^2 + b^2*c)*d^2*e^2 - 2*(2*a^2*b + b^3 + 2*a*b*c)*d*e^3 - sqrt(2)*((b^4 - 4*a*b^2*c)*d^3 - 3*(a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*d^2*e + (2*a^2*b^2 + b^4 - 8*a^3*c - 8*a*c^3 - 2*(8*a^2 - b^2)*c^2)*d*e^2 - (a*b^3 - 4*a*b*c^2 - (4*a^2*b - b^3)*c)*e^3 + ((a^2*b^4 - b^6 + 8*a*c^5 + 2*(12*a^2 - b^2)*c^4 + 6*(4*a^3 - 3*a*b^2)*c^3 + (8*a^4 - 22*a^2*b^2 + 3*b^4)*c^2 - 2*(3*a^3*b^2 - 4*a*b^4)*c)*d - (a^3*b^3 - a*b^5 + 4*a*b*c^4 + (4*a^2*b - b^3)*c^3 - (4*a^3*b + 5*a*b^3)*c^2 - (4*a^4*b - 5*a^2*b^3 - b^5)*c)*e)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))*sqrt(((b^2 - 2*a*c - 2*c^2)*d^2 - 2*(a*b - b*c)*d*e + (2*a^2 - b^2 + 2*a*c)*e^2 - (a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))/(a^2*b^2 - b^4 - 4*a*c^3 - (8*a^2 - b^2)*c^2 - 2*(2*a^3 - 3*a*b^2)*c)) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*cosh(x) + 4*(b*c^2*d^4 + a*b*c*e^4 - (b^2*c + 2*a*c^2 + 2*c^3)*d^3*e + 3*(a*b*c + b*c^2)*d^2*e^2 - (2*a*c^2 + (2*a^2 + b^2)*c)*d*e^3)*sinh(x) - 2*((4*a*c^4 + (8*a^2 - b^2)*c^3 + 2*(2*a^3 - 3*a*b^2)*c^2 - (a^2*b^2 - b^4)*c)*d^2 + (a^2*b^3 - b^5 - 4*a*b*c^3 - (8*a^2*b - b^3)*c^2 - 2*(2*a^3*b - 3*a*b^3)*c)*d*e - (a^3*b^2 - a*b^4 - 4*a^2*c^3 - (8*a^3 - a*b^2)*c^2 - 2*(2*a^4 - 3*a^2*b^2)*c)*e^2)*sqrt((b^2*d^4 + b^2*e^4 - 4*(a*b + b*c)*d^3*e + 2*(2*a^2 + b^2 + 4*a*c + 2*c^2)*d^2*e^2 - 4*(a*b + b*c)*d*e^3)/(a^4*b^2 - 2*a^2*b^4 + b^6 - 4*a*c^5 - (16*a^2 - b^2)*c^4 - 12*(2*a^3 - a*b^2)*c^3 - 2*(8*a^4 - 11*a^2*b^2 + b^4)*c^2 - 4*(a^5 - 3*a^3*b^2 + 2*a*b^4)*c)))","B",0
838,1,367,0,0.468398," ","integrate(sinh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{a}{b}} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + 2 \, a b + 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} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 6 \, a b + b^{2} + 4 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 4 \, {\left({\left(a b + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a b + b^{2}\right)} \sinh\left(x\right)^{2} + a b - b^{2}\right)} \sqrt{-\frac{a}{b}}}{{\left(a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b\right)} \cosh\left(x\right)^{2} + a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b\right)} \cosh\left(x\right)^{3} + {\left(a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b}\right) + 2 \, x}{2 \, {\left(a + b\right)}}, -\frac{\sqrt{\frac{a}{b}} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b\right)} \sqrt{\frac{a}{b}}}{2 \, a}\right) - x}{a + b}\right]"," ",0,"[1/2*(sqrt(-a/b)*log(((a^2 + 2*a*b + b^2)*cosh(x)^4 + 4*(a^2 + 2*a*b + b^2)*cosh(x)*sinh(x)^3 + (a^2 + 2*a*b + b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 + 2*a*b + b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - 6*a*b + b^2 + 4*((a^2 + 2*a*b + b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x) - 4*((a*b + b^2)*cosh(x)^2 + 2*(a*b + b^2)*cosh(x)*sinh(x) + (a*b + b^2)*sinh(x)^2 + a*b - b^2)*sqrt(-a/b))/((a + b)*cosh(x)^4 + 4*(a + b)*cosh(x)*sinh(x)^3 + (a + b)*sinh(x)^4 + 2*(a - b)*cosh(x)^2 + 2*(3*(a + b)*cosh(x)^2 + a - b)*sinh(x)^2 + 4*((a + b)*cosh(x)^3 + (a - b)*cosh(x))*sinh(x) + a + b)) + 2*x)/(a + b), -(sqrt(a/b)*arctan(1/2*((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)*sqrt(a/b)/a) - x)/(a + b)]","A",0
839,1,363,0,0.491122," ","integrate(cosh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{b}{a}} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + 2 \, a b + 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} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 6 \, a b + b^{2} + 4 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 4 \, {\left({\left(a^{2} + a b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + a b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + a b\right)} \sinh\left(x\right)^{2} + a^{2} - a b\right)} \sqrt{-\frac{b}{a}}}{{\left(a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b\right)} \cosh\left(x\right)^{2} + a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b\right)} \cosh\left(x\right)^{3} + {\left(a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b}\right) + 2 \, x}{2 \, {\left(a + b\right)}}, \frac{\sqrt{\frac{b}{a}} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a + b\right)} \sinh\left(x\right)^{2} + a - b\right)} \sqrt{\frac{b}{a}}}{2 \, b}\right) + x}{a + b}\right]"," ",0,"[1/2*(sqrt(-b/a)*log(((a^2 + 2*a*b + b^2)*cosh(x)^4 + 4*(a^2 + 2*a*b + b^2)*cosh(x)*sinh(x)^3 + (a^2 + 2*a*b + b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 + 2*a*b + b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - 6*a*b + b^2 + 4*((a^2 + 2*a*b + b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x) + 4*((a^2 + a*b)*cosh(x)^2 + 2*(a^2 + a*b)*cosh(x)*sinh(x) + (a^2 + a*b)*sinh(x)^2 + a^2 - a*b)*sqrt(-b/a))/((a + b)*cosh(x)^4 + 4*(a + b)*cosh(x)*sinh(x)^3 + (a + b)*sinh(x)^4 + 2*(a - b)*cosh(x)^2 + 2*(3*(a + b)*cosh(x)^2 + a - b)*sinh(x)^2 + 4*((a + b)*cosh(x)^3 + (a - b)*cosh(x))*sinh(x) + a + b)) + 2*x)/(a + b), (sqrt(b/a)*arctan(1/2*((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)*sqrt(b/a)/b) + x)/(a + b)]","A",0
840,1,95,0,0.431263," ","integrate(sinh(x)^3/(cosh(x)^3+sinh(x)^3),x, algorithm=""fricas"")","\frac{18 \, x \cosh\left(x\right)^{2} + 36 \, x \cosh\left(x\right) \sinh\left(x\right) + 18 \, x \sinh\left(x\right)^{2} + 8 \, {\left(\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) + 3}{36 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/36*(18*x*cosh(x)^2 + 36*x*cosh(x)*sinh(x) + 18*x*sinh(x)^2 + 8*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2)*arctan(-1/3*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) + 3)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
841,1,95,0,0.424839," ","integrate(cosh(x)^3/(cosh(x)^3+sinh(x)^3),x, algorithm=""fricas"")","\frac{18 \, x \cosh\left(x\right)^{2} + 36 \, x \cosh\left(x\right) \sinh\left(x\right) + 18 \, x \sinh\left(x\right)^{2} - 8 \, {\left(\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) - 3}{36 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/36*(18*x*cosh(x)^2 + 36*x*cosh(x)*sinh(x) + 18*x*sinh(x)^2 - 8*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2)*arctan(-1/3*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) - 3)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
842,1,91,0,0.420647," ","integrate(x*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left({\left(e^{\left(2 \, x\right)} + 1\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(e^{\left(2 \, x\right)} + 1\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x e^{\left(2 \, x\right)} + x\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(x e^{\left(2 \, x\right)} + x\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}}}{a}"," ",0,"((e^(2*x) + 1)*dilog(cosh(x) + sinh(x)) - (e^(2*x) + 1)*dilog(-cosh(x) - sinh(x)) - (x*e^(2*x) + x)*log(cosh(x) + sinh(x) + 1) + (x*e^(2*x) + x)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))/a","A",0
843,1,188,0,0.434338," ","integrate(x^2*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} + 1\right)} e^{x} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} + 1\right)} e^{x} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(2 \, {\left(x e^{\left(2 \, x\right)} + x\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\left(x e^{\left(2 \, x\right)} + x\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}\right)} e^{\left(-x\right)}}{a}"," ",0,"-(2*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*(e^(2*x) + 1)*e^x*polylog(3, cosh(x) + sinh(x)) - 2*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*(e^(2*x) + 1)*e^x*polylog(3, -cosh(x) - sinh(x)) - (2*(x*e^(2*x) + x)*dilog(cosh(x) + sinh(x)) - 2*(x*e^(2*x) + x)*dilog(-cosh(x) - sinh(x)) - (x^2*e^(2*x) + x^2)*log(cosh(x) + sinh(x) + 1) + (x^2*e^(2*x) + x^2)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x)*e^(-x)/a","C",0
844,1,272,0,0.433372," ","integrate(x^3*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} + 1\right)} e^{x} {\rm polylog}\left(4, \cosh\left(x\right) + \sinh\left(x\right)\right) - 6 \, \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} + 1\right)} e^{x} {\rm polylog}\left(4, -\cosh\left(x\right) - \sinh\left(x\right)\right) - 6 \, {\left(x e^{\left(2 \, x\right)} + x\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) + 6 \, {\left(x e^{\left(2 \, x\right)} + x\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left(3 \, {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 3 \, {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}\right)} e^{\left(-x\right)}}{a}"," ",0,"(6*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*(e^(2*x) + 1)*e^x*polylog(4, cosh(x) + sinh(x)) - 6*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*(e^(2*x) + 1)*e^x*polylog(4, -cosh(x) - sinh(x)) - 6*(x*e^(2*x) + x)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, cosh(x) + sinh(x)) + 6*(x*e^(2*x) + x)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, -cosh(x) - sinh(x)) + (3*(x^2*e^(2*x) + x^2)*dilog(cosh(x) + sinh(x)) - 3*(x^2*e^(2*x) + x^2)*dilog(-cosh(x) - sinh(x)) - (x^3*e^(2*x) + x^3)*log(cosh(x) + sinh(x) + 1) + (x^3*e^(2*x) + x^3)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x)*e^(-x)/a","C",0
845,1,152,0,0.446551," ","integrate(x*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2} - 2 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - 2 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}}}{2 \, a}"," ",0,"-1/2*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2 - 2*(e^(4*x) + 2*e^(2*x) + 1)*dilog(cosh(x) + sinh(x)) - 2*(e^(4*x) + 2*e^(2*x) + 1)*dilog(-cosh(x) - sinh(x)) - 2*(x*e^(4*x) + 2*x*e^(2*x) + x)*log(cosh(x) + sinh(x) + 1) - 2*(x*e^(4*x) + 2*x*e^(2*x) + x)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))/a","B",0
846,1,294,0,0.474813," ","integrate(x^2*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(6 \, \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(2 \, x\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) + 6 \, \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left(x^{3} e^{\left(4 \, x\right)} + 2 \, x^{3} e^{\left(2 \, x\right)} + x^{3} - 6 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 6 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - 3 \, {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 3 \, {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}\right)} e^{\left(-2 \, x\right)}}{3 \, a}"," ",0,"-1/3*(6*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*(e^(4*x) + 2*e^(2*x) + 1)*e^(2*x)*polylog(3, cosh(x) + sinh(x)) + 6*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*(e^(4*x) + 2*e^(2*x) + 1)*e^(2*x)*polylog(3, -cosh(x) - sinh(x)) + (x^3*e^(4*x) + 2*x^3*e^(2*x) + x^3 - 6*(x*e^(4*x) + 2*x*e^(2*x) + x)*dilog(cosh(x) + sinh(x)) - 6*(x*e^(4*x) + 2*x*e^(2*x) + x)*dilog(-cosh(x) - sinh(x)) - 3*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*log(cosh(x) + sinh(x) + 1) - 3*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x))*e^(-2*x)/a","C",0
847,1,427,0,0.475882," ","integrate(x^3*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(24 \, \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(2 \, x\right)} {\rm polylog}\left(4, \cosh\left(x\right) + \sinh\left(x\right)\right) + 24 \, \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(2 \, x\right)} {\rm polylog}\left(4, -\cosh\left(x\right) - \sinh\left(x\right)\right) - 24 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 24 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x^{4} e^{\left(4 \, x\right)} + 2 \, x^{4} e^{\left(2 \, x\right)} + x^{4} - 12 \, {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 12 \, {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - 4 \, {\left(x^{3} e^{\left(4 \, x\right)} + 2 \, x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 4 \, {\left(x^{3} e^{\left(4 \, x\right)} + 2 \, x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}\right)} e^{\left(-2 \, x\right)}}{4 \, a}"," ",0,"1/4*(24*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*(e^(4*x) + 2*e^(2*x) + 1)*e^(2*x)*polylog(4, cosh(x) + sinh(x)) + 24*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*(e^(4*x) + 2*e^(2*x) + 1)*e^(2*x)*polylog(4, -cosh(x) - sinh(x)) - 24*(x*e^(4*x) + 2*x*e^(2*x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, cosh(x) + sinh(x)) - 24*(x*e^(4*x) + 2*x*e^(2*x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, -cosh(x) - sinh(x)) - (x^4*e^(4*x) + 2*x^4*e^(2*x) + x^4 - 12*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*dilog(cosh(x) + sinh(x)) - 12*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*dilog(-cosh(x) - sinh(x)) - 4*(x^3*e^(4*x) + 2*x^3*e^(2*x) + x^3)*log(cosh(x) + sinh(x) + 1) - 4*(x^3*e^(4*x) + 2*x^3*e^(2*x) + x^3)*log(-cosh(x) - sinh(x) + 1))*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x))*e^(-2*x)/a","C",0
848,1,351,0,0.488914," ","integrate(x*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} - 2 \, {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, x \cosh\left(x\right) + {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{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}}"," ",0,"(2*x*cosh(x)*e^(2*x) - 2*((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 2*x*cosh(x) + ((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(cosh(x) + sinh(x)) - ((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(-cosh(x) - sinh(x)) - (x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*log(cosh(x) + sinh(x) + 1) + (x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*log(-cosh(x) - sinh(x) + 1) + 2*(x*e^(2*x) + x)*sinh(x))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x/(2*cosh(x)*e^x*sinh(x) + e^x*sinh(x)^2 + (cosh(x)^2 + 1)*e^x)","B",0
849,1,778,0,0.491925," ","integrate(x^2*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) + 2 \, {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left({\left(-2 i \, e^{\left(2 \, x\right)} - 2 i\right)} \sinh\left(x\right)^{2} - 2 i \, \cosh\left(x\right)^{2} + {\left(-2 i \, \cosh\left(x\right)^{2} - 2 i\right)} e^{\left(2 \, x\right)} + {\left(-4 i \, \cosh\left(x\right) e^{\left(2 \, x\right)} - 4 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 i\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\left({\left(2 i \, e^{\left(2 \, x\right)} + 2 i\right)} \sinh\left(x\right)^{2} + 2 i \, \cosh\left(x\right)^{2} + {\left(2 i \, \cosh\left(x\right)^{2} + 2 i\right)} e^{\left(2 \, x\right)} + {\left(4 i \, \cosh\left(x\right) e^{\left(2 \, x\right)} + 4 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 i\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 2 \, {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x^{2} \cosh\left(x\right)^{2} + {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(2 i \, x \cosh\left(x\right)^{2} + {\left(2 i \, x e^{\left(2 \, x\right)} + 2 i \, x\right)} \sinh\left(x\right)^{2} + {\left(2 i \, x \cosh\left(x\right)^{2} + 2 i \, x\right)} e^{\left(2 \, x\right)} + {\left(4 i \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + 4 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 i \, x\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + {\left(-2 i \, x \cosh\left(x\right)^{2} + {\left(-2 i \, x e^{\left(2 \, x\right)} - 2 i \, x\right)} \sinh\left(x\right)^{2} + {\left(-2 i \, x \cosh\left(x\right)^{2} - 2 i \, x\right)} e^{\left(2 \, x\right)} + {\left(-4 i \, x \cosh\left(x\right) e^{\left(2 \, x\right)} - 4 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 i \, x\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + {\left(x^{2} \cosh\left(x\right)^{2} + {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{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}}"," ",0,"-(2*((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, cosh(x) + sinh(x)) - 2*((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, -cosh(x) - sinh(x)) - (2*x^2*cosh(x)*e^(2*x) + 2*x^2*cosh(x) + 2*(x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*dilog(cosh(x) + sinh(x)) + ((-2*I*e^(2*x) - 2*I)*sinh(x)^2 - 2*I*cosh(x)^2 + (-2*I*cosh(x)^2 - 2*I)*e^(2*x) + (-4*I*cosh(x)*e^(2*x) - 4*I*cosh(x))*sinh(x) - 2*I)*dilog(I*cosh(x) + I*sinh(x)) + ((2*I*e^(2*x) + 2*I)*sinh(x)^2 + 2*I*cosh(x)^2 + (2*I*cosh(x)^2 + 2*I)*e^(2*x) + (4*I*cosh(x)*e^(2*x) + 4*I*cosh(x))*sinh(x) + 2*I)*dilog(-I*cosh(x) - I*sinh(x)) - 2*(x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*dilog(-cosh(x) - sinh(x)) - (x^2*cosh(x)^2 + (x^2*e^(2*x) + x^2)*sinh(x)^2 + x^2 + (x^2*cosh(x)^2 + x^2)*e^(2*x) + 2*(x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + (2*I*x*cosh(x)^2 + (2*I*x*e^(2*x) + 2*I*x)*sinh(x)^2 + (2*I*x*cosh(x)^2 + 2*I*x)*e^(2*x) + (4*I*x*cosh(x)*e^(2*x) + 4*I*x*cosh(x))*sinh(x) + 2*I*x)*log(I*cosh(x) + I*sinh(x) + 1) + (-2*I*x*cosh(x)^2 + (-2*I*x*e^(2*x) - 2*I*x)*sinh(x)^2 + (-2*I*x*cosh(x)^2 - 2*I*x)*e^(2*x) + (-4*I*x*cosh(x)*e^(2*x) - 4*I*x*cosh(x))*sinh(x) - 2*I*x)*log(-I*cosh(x) - I*sinh(x) + 1) + (x^2*cosh(x)^2 + (x^2*e^(2*x) + x^2)*sinh(x)^2 + x^2 + (x^2*cosh(x)^2 + x^2)*e^(2*x) + 2*(x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 2*(x^2*e^(2*x) + x^2)*sinh(x))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x)/(2*cosh(x)*e^x*sinh(x) + e^x*sinh(x)^2 + (cosh(x)^2 + 1)*e^x)","C",0
850,1,1190,0,0.540871," ","integrate(x^3*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{6 \, {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(4, \cosh\left(x\right) + \sinh\left(x\right)\right) - 6 \, {\left({\left(e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(4, -\cosh\left(x\right) - \sinh\left(x\right)\right) - 6 \, {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) + {\left({\left(6 i \, e^{\left(2 \, x\right)} + 6 i\right)} \sinh\left(x\right)^{2} + 6 i \, \cosh\left(x\right)^{2} + {\left(6 i \, \cosh\left(x\right)^{2} + 6 i\right)} e^{\left(2 \, x\right)} + {\left(12 i \, \cosh\left(x\right) e^{\left(2 \, x\right)} + 12 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 6 i\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\left({\left(-6 i \, e^{\left(2 \, x\right)} - 6 i\right)} \sinh\left(x\right)^{2} - 6 i \, \cosh\left(x\right)^{2} + {\left(-6 i \, \cosh\left(x\right)^{2} - 6 i\right)} e^{\left(2 \, x\right)} + {\left(-12 i \, \cosh\left(x\right) e^{\left(2 \, x\right)} - 12 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 6 i\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, -i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + 6 \, {\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left(2 \, x^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + 2 \, x^{3} \cosh\left(x\right) + 3 \, {\left(x^{2} \cosh\left(x\right)^{2} + {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(-6 i \, x \cosh\left(x\right)^{2} + {\left(-6 i \, x e^{\left(2 \, x\right)} - 6 i \, x\right)} \sinh\left(x\right)^{2} + {\left(-6 i \, x \cosh\left(x\right)^{2} - 6 i \, x\right)} e^{\left(2 \, x\right)} + {\left(-12 i \, x \cosh\left(x\right) e^{\left(2 \, x\right)} - 12 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) - 6 i \, x\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\left(6 i \, x \cosh\left(x\right)^{2} + {\left(6 i \, x e^{\left(2 \, x\right)} + 6 i \, x\right)} \sinh\left(x\right)^{2} + {\left(6 i \, x \cosh\left(x\right)^{2} + 6 i \, x\right)} e^{\left(2 \, x\right)} + {\left(12 i \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + 12 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) + 6 i \, x\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 3 \, {\left(x^{2} \cosh\left(x\right)^{2} + {\left(x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(x^{3} \cosh\left(x\right)^{2} + x^{3} + {\left(x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \sinh\left(x\right)^{2} + {\left(x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(3 i \, x^{2} \cosh\left(x\right)^{2} + {\left(3 i \, x^{2} e^{\left(2 \, x\right)} + 3 i \, x^{2}\right)} \sinh\left(x\right)^{2} + 3 i \, x^{2} + {\left(3 i \, x^{2} \cosh\left(x\right)^{2} + 3 i \, x^{2}\right)} e^{\left(2 \, x\right)} + {\left(6 i \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + 6 i \, x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + {\left(-3 i \, x^{2} \cosh\left(x\right)^{2} + {\left(-3 i \, x^{2} e^{\left(2 \, x\right)} - 3 i \, x^{2}\right)} \sinh\left(x\right)^{2} - 3 i \, x^{2} + {\left(-3 i \, x^{2} \cosh\left(x\right)^{2} - 3 i \, x^{2}\right)} e^{\left(2 \, x\right)} + {\left(-6 i \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} - 6 i \, x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + {\left(x^{3} \cosh\left(x\right)^{2} + x^{3} + {\left(x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \sinh\left(x\right)^{2} + {\left(x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\left(x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{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}}"," ",0,"(6*((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(4, cosh(x) + sinh(x)) - 6*((e^(2*x) + 1)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(4, -cosh(x) - sinh(x)) - 6*(x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, cosh(x) + sinh(x)) + ((6*I*e^(2*x) + 6*I)*sinh(x)^2 + 6*I*cosh(x)^2 + (6*I*cosh(x)^2 + 6*I)*e^(2*x) + (12*I*cosh(x)*e^(2*x) + 12*I*cosh(x))*sinh(x) + 6*I)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, I*cosh(x) + I*sinh(x)) + ((-6*I*e^(2*x) - 6*I)*sinh(x)^2 - 6*I*cosh(x)^2 + (-6*I*cosh(x)^2 - 6*I)*e^(2*x) + (-12*I*cosh(x)*e^(2*x) - 12*I*cosh(x))*sinh(x) - 6*I)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, -I*cosh(x) - I*sinh(x)) + 6*(x*cosh(x)^2 + (x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x)*e^(2*x) + 2*(x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x)*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x*polylog(3, -cosh(x) - sinh(x)) + (2*x^3*cosh(x)*e^(2*x) + 2*x^3*cosh(x) + 3*(x^2*cosh(x)^2 + (x^2*e^(2*x) + x^2)*sinh(x)^2 + x^2 + (x^2*cosh(x)^2 + x^2)*e^(2*x) + 2*(x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x))*dilog(cosh(x) + sinh(x)) + (-6*I*x*cosh(x)^2 + (-6*I*x*e^(2*x) - 6*I*x)*sinh(x)^2 + (-6*I*x*cosh(x)^2 - 6*I*x)*e^(2*x) + (-12*I*x*cosh(x)*e^(2*x) - 12*I*x*cosh(x))*sinh(x) - 6*I*x)*dilog(I*cosh(x) + I*sinh(x)) + (6*I*x*cosh(x)^2 + (6*I*x*e^(2*x) + 6*I*x)*sinh(x)^2 + (6*I*x*cosh(x)^2 + 6*I*x)*e^(2*x) + (12*I*x*cosh(x)*e^(2*x) + 12*I*x*cosh(x))*sinh(x) + 6*I*x)*dilog(-I*cosh(x) - I*sinh(x)) - 3*(x^2*cosh(x)^2 + (x^2*e^(2*x) + x^2)*sinh(x)^2 + x^2 + (x^2*cosh(x)^2 + x^2)*e^(2*x) + 2*(x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x))*dilog(-cosh(x) - sinh(x)) - (x^3*cosh(x)^2 + x^3 + (x^3*e^(2*x) + x^3)*sinh(x)^2 + (x^3*cosh(x)^2 + x^3)*e^(2*x) + 2*(x^3*cosh(x)*e^(2*x) + x^3*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + (3*I*x^2*cosh(x)^2 + (3*I*x^2*e^(2*x) + 3*I*x^2)*sinh(x)^2 + 3*I*x^2 + (3*I*x^2*cosh(x)^2 + 3*I*x^2)*e^(2*x) + (6*I*x^2*cosh(x)*e^(2*x) + 6*I*x^2*cosh(x))*sinh(x))*log(I*cosh(x) + I*sinh(x) + 1) + (-3*I*x^2*cosh(x)^2 + (-3*I*x^2*e^(2*x) - 3*I*x^2)*sinh(x)^2 - 3*I*x^2 + (-3*I*x^2*cosh(x)^2 - 3*I*x^2)*e^(2*x) + (-6*I*x^2*cosh(x)*e^(2*x) - 6*I*x^2*cosh(x))*sinh(x))*log(-I*cosh(x) - I*sinh(x) + 1) + (x^3*cosh(x)^2 + x^3 + (x^3*e^(2*x) + x^3)*sinh(x)^2 + (x^3*cosh(x)^2 + x^3)*e^(2*x) + 2*(x^3*cosh(x)*e^(2*x) + x^3*cosh(x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 2*(x^3*e^(2*x) + x^3)*sinh(x))*sqrt(a/(e^(4*x) + 2*e^(2*x) + 1))*e^x)/(2*cosh(x)*e^x*sinh(x) + e^x*sinh(x)^2 + (cosh(x)^2 + 1)*e^x)","C",0
851,1,1757,0,0.526410," ","integrate(x*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, x + 1\right)} \cosh\left(x\right)^{2} + {\left({\left(2 \, x + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2 \, x + 1\right)} e^{\left(2 \, x\right)} + 2 \, x + 1\right)} \sinh\left(x\right)^{2} + {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left({\left(2 \, x + 1\right)} \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(2 \, x + 1\right)} \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\left({\left(2 \, x + 1\right)} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, {\left(2 \, x + 1\right)} \cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(2 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{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} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}}"," ",0,"((2*x + 1)*cosh(x)^2 + ((2*x + 1)*e^(4*x) + 2*(2*x + 1)*e^(2*x) + 2*x + 1)*sinh(x)^2 + ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(cosh(x) + sinh(x)) - ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(I*cosh(x) + I*sinh(x)) - ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(-I*cosh(x) - I*sinh(x)) + ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*dilog(-cosh(x) - sinh(x)) + ((2*x + 1)*cosh(x)^2 + 1)*e^(4*x) + 2*((2*x + 1)*cosh(x)^2 + 1)*e^(2*x) + (x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*log(cosh(x) + sinh(x) + 1) - (x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*log(I*cosh(x) + I*sinh(x) + 1) - (x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*log(-I*cosh(x) - I*sinh(x) + 1) + (x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*log(-cosh(x) - sinh(x) + 1) + 2*((2*x + 1)*cosh(x)*e^(4*x) + 2*(2*x + 1)*cosh(x)*e^(2*x) + (2*x + 1)*cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)/(4*cosh(x)*e^(2*x)*sinh(x)^3 + e^(2*x)*sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 4*(cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x))","C",0
852,1,3431,0,0.836759," ","integrate(x^2*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - 2 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + 2 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left(2 \, x \cosh\left(x\right)^{4} + 2 \, {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(x^{2} - x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(6 \, x \cosh\left(x\right)^{2} - x^{2} + {\left(6 \, x \cosh\left(x\right)^{2} - x^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(6 \, x \cosh\left(x\right)^{2} - x^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} - 2 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + 2 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 2 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + 2 \, {\left(x \cosh\left(x\right)^{4} - {\left(x^{2} - x\right)} \cosh\left(x\right)^{2}\right)} e^{\left(4 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{4} - {\left(x^{2} - x\right)} \cosh\left(x\right)^{2}\right)} e^{\left(2 \, x\right)} - {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + i\right) - {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - i\right) + {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 4 \, {\left(2 \, x \cosh\left(x\right)^{3} - {\left(x^{2} - x\right)} \cosh\left(x\right) + {\left(2 \, x \cosh\left(x\right)^{3} - {\left(x^{2} - x\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2 \, x \cosh\left(x\right)^{3} - {\left(x^{2} - x\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{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} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}}"," ",0,"-(2*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, cosh(x) + sinh(x)) - 2*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, I*cosh(x) + I*sinh(x)) - 2*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, -I*cosh(x) - I*sinh(x)) + 2*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, -cosh(x) - sinh(x)) + (2*x*cosh(x)^4 + 2*(x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 8*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 - 2*(x^2 - x)*cosh(x)^2 + 2*(6*x*cosh(x)^2 - x^2 + (6*x*cosh(x)^2 - x^2 + x)*e^(4*x) + 2*(6*x*cosh(x)^2 - x^2 + x)*e^(2*x) + x)*sinh(x)^2 - 2*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*dilog(cosh(x) + sinh(x)) + 2*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*dilog(I*cosh(x) + I*sinh(x)) + 2*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*dilog(-I*cosh(x) - I*sinh(x)) - 2*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*dilog(-cosh(x) - sinh(x)) + 2*(x*cosh(x)^4 - (x^2 - x)*cosh(x)^2)*e^(4*x) + 4*(x*cosh(x)^4 - (x^2 - x)*cosh(x)^2)*e^(2*x) - (x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) + I) - ((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) - I) + (x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*log(I*cosh(x) + I*sinh(x) + 1) + (x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*log(-I*cosh(x) - I*sinh(x) + 1) - (x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 4*(2*x*cosh(x)^3 - (x^2 - x)*cosh(x) + (2*x*cosh(x)^3 - (x^2 - x)*cosh(x))*e^(4*x) + 2*(2*x*cosh(x)^3 - (x^2 - x)*cosh(x))*e^(2*x))*sinh(x))*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x))/(4*cosh(x)*e^(2*x)*sinh(x)^3 + e^(2*x)*sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 4*(cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x))","C",0
853,1,4629,0,0.754558," ","integrate(x^3*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{6 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(4, \cosh\left(x\right) + \sinh\left(x\right)\right) - 6 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(4, i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - 6 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(4, -i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + 6 \, {\left({\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\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)^{3} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(4, -\cosh\left(x\right) - \sinh\left(x\right)\right) - 6 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, \cosh\left(x\right) + \sinh\left(x\right)\right) + 6 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + 6 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 6 \, {\left(x \cosh\left(x\right)^{4} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x \cosh\left(x\right) e^{\left(2 \, x\right)} + x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{4} + 2 \, x \cosh\left(x\right)^{2} + x\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right) + {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{3} + x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + x\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)} {\rm polylog}\left(3, -\cosh\left(x\right) - \sinh\left(x\right)\right) - {\left(3 \, x^{2} \cosh\left(x\right)^{4} + 3 \, {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 12 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right)^{2} + {\left(18 \, x^{2} \cosh\left(x\right)^{2} - 2 \, x^{3} + 3 \, x^{2} + {\left(18 \, x^{2} \cosh\left(x\right)^{2} - 2 \, x^{3} + 3 \, x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(18 \, x^{2} \cosh\left(x\right)^{2} - 2 \, x^{3} + 3 \, x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} - 3 \, {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + {\left(x^{2} + {\left(x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} - 1\right)} e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{2} + x^{2} + {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right) + {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) - 1\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + 3 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + {\left(x^{2} + {\left(x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} - 1\right)} e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{2} + x^{2} + {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{4} + 2 \, {\left(x^{2} - 1\right)} \cosh\left(x\right)^{2} + x^{2} - 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right) + {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{2} - 1\right)} \cosh\left(x\right)^{3} + {\left(x^{2} - 1\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) - 1\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 3 \, {\left(x^{2} \cosh\left(x\right)^{4} + {\left(x^{2} e^{\left(4 \, x\right)} + 2 \, x^{2} e^{\left(2 \, x\right)} + x^{2}\right)} \sinh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + 4 \, {\left(x^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2} + {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + x^{2} + {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{4} + 2 \, x^{2} \cosh\left(x\right)^{2} + x^{2}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right) + {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{2} \cosh\left(x\right)^{3} + x^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + {\left(3 \, x^{2} \cosh\left(x\right)^{4} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right)^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{2} \cosh\left(x\right)^{4} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right)^{2}\right)} e^{\left(2 \, x\right)} - {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + {\left(x^{3} e^{\left(4 \, x\right)} + 2 \, x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x^{3} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x^{3} + 2 \, {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3} + {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right) + {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + {\left(x^{3} + {\left(x^{3} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} - 3 \, x\right)} e^{\left(2 \, x\right)} - 3 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} + {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(2 \, x\right)} - 3 \, x\right)} \sinh\left(x\right)^{2} + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(2 \, x\right)} + 4 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) - 3 \, x\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + {\left(x^{3} + {\left(x^{3} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} - 3 \, x\right)} e^{\left(2 \, x\right)} - 3 \, x\right)} \sinh\left(x\right)^{4} + 4 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) e^{\left(2 \, x\right)} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} + {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} + 3 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(2 \, x\right)} - 3 \, x\right)} \sinh\left(x\right)^{2} + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{4} + x^{3} + 2 \, {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{2} - 3 \, x\right)} e^{\left(2 \, x\right)} + 4 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right) + {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left({\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)^{3} + {\left(x^{3} - 3 \, x\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) - 3 \, x\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + {\left(x^{3} e^{\left(4 \, x\right)} + 2 \, x^{3} e^{\left(2 \, x\right)} + x^{3}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(x^{3} \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, x^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + x^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + x^{3} + 2 \, {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3} + {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(3 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right)^{4} + 2 \, x^{3} \cosh\left(x\right)^{2} + x^{3}\right)} e^{\left(2 \, x\right)} + 4 \, {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right) + {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x^{3} \cosh\left(x\right)^{3} + x^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\left(6 \, x^{2} \cosh\left(x\right)^{3} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right) + {\left(6 \, x^{2} \cosh\left(x\right)^{3} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(6 \, x^{2} \cosh\left(x\right)^{3} - {\left(2 \, x^{3} - 3 \, x^{2}\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{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} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} + 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)}}"," ",0,"(6*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(4, cosh(x) + sinh(x)) - 6*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(4, I*cosh(x) + I*sinh(x)) - 6*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(4, -I*cosh(x) - I*sinh(x)) + 6*((e^(4*x) + 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) + 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 + 1)*e^(4*x) + 2*(3*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 2*cosh(x)^2 + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(4*x) + 2*(cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x) + 4*(cosh(x)^3 + (cosh(x)^3 + cosh(x))*e^(4*x) + 2*(cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(4, -cosh(x) - sinh(x)) - 6*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, cosh(x) + sinh(x)) + 6*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, I*cosh(x) + I*sinh(x)) + 6*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, -I*cosh(x) - I*sinh(x)) - 6*(x*cosh(x)^4 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^4 + 4*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x)^3 + 2*x*cosh(x)^2 + 2*(3*x*cosh(x)^2 + (3*x*cosh(x)^2 + x)*e^(4*x) + 2*(3*x*cosh(x)^2 + x)*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(4*x) + 2*(x*cosh(x)^4 + 2*x*cosh(x)^2 + x)*e^(2*x) + 4*(x*cosh(x)^3 + x*cosh(x) + (x*cosh(x)^3 + x*cosh(x))*e^(4*x) + 2*(x*cosh(x)^3 + x*cosh(x))*e^(2*x))*sinh(x) + x)*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x)*polylog(3, -cosh(x) - sinh(x)) - (3*x^2*cosh(x)^4 + 3*(x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 12*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 - (2*x^3 - 3*x^2)*cosh(x)^2 + (18*x^2*cosh(x)^2 - 2*x^3 + 3*x^2 + (18*x^2*cosh(x)^2 - 2*x^3 + 3*x^2)*e^(4*x) + 2*(18*x^2*cosh(x)^2 - 2*x^3 + 3*x^2)*e^(2*x))*sinh(x)^2 - 3*(x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*dilog(cosh(x) + sinh(x)) + 3*((x^2 - 1)*cosh(x)^4 + (x^2 + (x^2 - 1)*e^(4*x) + 2*(x^2 - 1)*e^(2*x) - 1)*sinh(x)^4 + 4*((x^2 - 1)*cosh(x)*e^(4*x) + 2*(x^2 - 1)*cosh(x)*e^(2*x) + (x^2 - 1)*cosh(x))*sinh(x)^3 + 2*(x^2 - 1)*cosh(x)^2 + 2*(3*(x^2 - 1)*cosh(x)^2 + x^2 + (3*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(4*x) + 2*(3*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(2*x) - 1)*sinh(x)^2 + x^2 + ((x^2 - 1)*cosh(x)^4 + 2*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(4*x) + 2*((x^2 - 1)*cosh(x)^4 + 2*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(2*x) + 4*((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x) + ((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x))*e^(4*x) + 2*((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x))*e^(2*x))*sinh(x) - 1)*dilog(I*cosh(x) + I*sinh(x)) + 3*((x^2 - 1)*cosh(x)^4 + (x^2 + (x^2 - 1)*e^(4*x) + 2*(x^2 - 1)*e^(2*x) - 1)*sinh(x)^4 + 4*((x^2 - 1)*cosh(x)*e^(4*x) + 2*(x^2 - 1)*cosh(x)*e^(2*x) + (x^2 - 1)*cosh(x))*sinh(x)^3 + 2*(x^2 - 1)*cosh(x)^2 + 2*(3*(x^2 - 1)*cosh(x)^2 + x^2 + (3*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(4*x) + 2*(3*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(2*x) - 1)*sinh(x)^2 + x^2 + ((x^2 - 1)*cosh(x)^4 + 2*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(4*x) + 2*((x^2 - 1)*cosh(x)^4 + 2*(x^2 - 1)*cosh(x)^2 + x^2 - 1)*e^(2*x) + 4*((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x) + ((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x))*e^(4*x) + 2*((x^2 - 1)*cosh(x)^3 + (x^2 - 1)*cosh(x))*e^(2*x))*sinh(x) - 1)*dilog(-I*cosh(x) - I*sinh(x)) - 3*(x^2*cosh(x)^4 + (x^2*e^(4*x) + 2*x^2*e^(2*x) + x^2)*sinh(x)^4 + 2*x^2*cosh(x)^2 + 4*(x^2*cosh(x)*e^(4*x) + 2*x^2*cosh(x)*e^(2*x) + x^2*cosh(x))*sinh(x)^3 + 2*(3*x^2*cosh(x)^2 + x^2 + (3*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(3*x^2*cosh(x)^2 + x^2)*e^(2*x))*sinh(x)^2 + x^2 + (x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(4*x) + 2*(x^2*cosh(x)^4 + 2*x^2*cosh(x)^2 + x^2)*e^(2*x) + 4*(x^2*cosh(x)^3 + x^2*cosh(x) + (x^2*cosh(x)^3 + x^2*cosh(x))*e^(4*x) + 2*(x^2*cosh(x)^3 + x^2*cosh(x))*e^(2*x))*sinh(x))*dilog(-cosh(x) - sinh(x)) + (3*x^2*cosh(x)^4 - (2*x^3 - 3*x^2)*cosh(x)^2)*e^(4*x) + 2*(3*x^2*cosh(x)^4 - (2*x^3 - 3*x^2)*cosh(x)^2)*e^(2*x) - (x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + (x^3*e^(4*x) + 2*x^3*e^(2*x) + x^3)*sinh(x)^4 + 4*(x^3*cosh(x)*e^(4*x) + 2*x^3*cosh(x)*e^(2*x) + x^3*cosh(x))*sinh(x)^3 + x^3 + 2*(3*x^3*cosh(x)^2 + x^3 + (3*x^3*cosh(x)^2 + x^3)*e^(4*x) + 2*(3*x^3*cosh(x)^2 + x^3)*e^(2*x))*sinh(x)^2 + (x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + x^3)*e^(4*x) + 2*(x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + x^3)*e^(2*x) + 4*(x^3*cosh(x)^3 + x^3*cosh(x) + (x^3*cosh(x)^3 + x^3*cosh(x))*e^(4*x) + 2*(x^3*cosh(x)^3 + x^3*cosh(x))*e^(2*x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((x^3 - 3*x)*cosh(x)^4 + (x^3 + (x^3 - 3*x)*e^(4*x) + 2*(x^3 - 3*x)*e^(2*x) - 3*x)*sinh(x)^4 + 4*((x^3 - 3*x)*cosh(x)*e^(4*x) + 2*(x^3 - 3*x)*cosh(x)*e^(2*x) + (x^3 - 3*x)*cosh(x))*sinh(x)^3 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 + 2*(x^3 + 3*(x^3 - 3*x)*cosh(x)^2 + (x^3 + 3*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(4*x) + 2*(x^3 + 3*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(2*x) - 3*x)*sinh(x)^2 + ((x^3 - 3*x)*cosh(x)^4 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(4*x) + 2*((x^3 - 3*x)*cosh(x)^4 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(2*x) + 4*((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x) + ((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x))*e^(4*x) + 2*((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x))*e^(2*x))*sinh(x) - 3*x)*log(I*cosh(x) + I*sinh(x) + 1) + ((x^3 - 3*x)*cosh(x)^4 + (x^3 + (x^3 - 3*x)*e^(4*x) + 2*(x^3 - 3*x)*e^(2*x) - 3*x)*sinh(x)^4 + 4*((x^3 - 3*x)*cosh(x)*e^(4*x) + 2*(x^3 - 3*x)*cosh(x)*e^(2*x) + (x^3 - 3*x)*cosh(x))*sinh(x)^3 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 + 2*(x^3 + 3*(x^3 - 3*x)*cosh(x)^2 + (x^3 + 3*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(4*x) + 2*(x^3 + 3*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(2*x) - 3*x)*sinh(x)^2 + ((x^3 - 3*x)*cosh(x)^4 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(4*x) + 2*((x^3 - 3*x)*cosh(x)^4 + x^3 + 2*(x^3 - 3*x)*cosh(x)^2 - 3*x)*e^(2*x) + 4*((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x) + ((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x))*e^(4*x) + 2*((x^3 - 3*x)*cosh(x)^3 + (x^3 - 3*x)*cosh(x))*e^(2*x))*sinh(x) - 3*x)*log(-I*cosh(x) - I*sinh(x) + 1) - (x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + (x^3*e^(4*x) + 2*x^3*e^(2*x) + x^3)*sinh(x)^4 + 4*(x^3*cosh(x)*e^(4*x) + 2*x^3*cosh(x)*e^(2*x) + x^3*cosh(x))*sinh(x)^3 + x^3 + 2*(3*x^3*cosh(x)^2 + x^3 + (3*x^3*cosh(x)^2 + x^3)*e^(4*x) + 2*(3*x^3*cosh(x)^2 + x^3)*e^(2*x))*sinh(x)^2 + (x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + x^3)*e^(4*x) + 2*(x^3*cosh(x)^4 + 2*x^3*cosh(x)^2 + x^3)*e^(2*x) + 4*(x^3*cosh(x)^3 + x^3*cosh(x) + (x^3*cosh(x)^3 + x^3*cosh(x))*e^(4*x) + 2*(x^3*cosh(x)^3 + x^3*cosh(x))*e^(2*x))*sinh(x))*log(-cosh(x) - sinh(x) + 1) + 2*(6*x^2*cosh(x)^3 - (2*x^3 - 3*x^2)*cosh(x) + (6*x^2*cosh(x)^3 - (2*x^3 - 3*x^2)*cosh(x))*e^(4*x) + 2*(6*x^2*cosh(x)^3 - (2*x^3 - 3*x^2)*cosh(x))*e^(2*x))*sinh(x))*sqrt(a/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))*e^(2*x))/(4*cosh(x)*e^(2*x)*sinh(x)^3 + e^(2*x)*sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 4*(cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^4 + 2*cosh(x)^2 + 1)*e^(2*x))","C",0
854,0,0,0,0.552295," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a\right)}^{m}, x\right)"," ",0,"integral((b*cosh(d*x + c)*sinh(d*x + c) + a)^m, x)","F",0
855,1,164,0,0.684182," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{b^{3} \cosh\left(d x + c\right)^{6} + 15 \, b^{3} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{4} + b^{3} \sinh\left(d x + c\right)^{6} + 72 \, a b^{2} \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 72 \, a b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 24 \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} d x + 9 \, {\left(16 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, b^{3} \cosh\left(d x + c\right)^{4} + 48 \, a^{2} b - 3 \, b^{3}\right)} \sinh\left(d x + c\right)^{2}}{192 \, d}"," ",0,"1/192*(b^3*cosh(d*x + c)^6 + 15*b^3*cosh(d*x + c)^2*sinh(d*x + c)^4 + b^3*sinh(d*x + c)^6 + 72*a*b^2*cosh(d*x + c)^3*sinh(d*x + c) + 72*a*b^2*cosh(d*x + c)*sinh(d*x + c)^3 + 24*(8*a^3 - 3*a*b^2)*d*x + 9*(16*a^2*b - b^3)*cosh(d*x + c)^2 + 3*(5*b^3*cosh(d*x + c)^4 + 48*a^2*b - 3*b^3)*sinh(d*x + c)^2)/d","A",0
856,1,80,0,0.491737," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 4 \, a b \cosh\left(d x + c\right)^{2} + 4 \, a b \sinh\left(d x + c\right)^{2} + {\left(8 \, a^{2} - b^{2}\right)} d x}{8 \, d}"," ",0,"1/8*(b^2*cosh(d*x + c)^3*sinh(d*x + c) + b^2*cosh(d*x + c)*sinh(d*x + c)^3 + 4*a*b*cosh(d*x + c)^2 + 4*a*b*sinh(d*x + c)^2 + (8*a^2 - b^2)*d*x)/d","A",0
857,1,31,0,0.556144," ","integrate(a+b*cosh(d*x+c)*sinh(d*x+c),x, algorithm=""fricas"")","\frac{4 \, a d x + b \cosh\left(d x + c\right)^{2} + b \sinh\left(d x + c\right)^{2}}{4 \, d}"," ",0,"1/4*(4*a*d*x + b*cosh(d*x + c)^2 + b*sinh(d*x + c)^2)/d","A",0
858,1,299,0,0.764711," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(\frac{b^{2} \cosh\left(d x + c\right)^{4} + 4 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{2} \sinh\left(d x + c\right)^{4} + 4 \, a b \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(d x + c\right)^{2} + 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 8 \, a^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(d x + c\right)^{3} + 2 \, a b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 2 \, {\left(b \cosh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b \sinh\left(d x + c\right)^{2} + 2 \, a\right)} \sqrt{4 \, a^{2} + b^{2}}}{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b \cosh\left(d x + c\right)^{2} + 2 \, a\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b \cosh\left(d x + c\right)^{3} + 2 \, a \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - b}\right)}{\sqrt{4 \, a^{2} + b^{2}} d}"," ",0,"log((b^2*cosh(d*x + c)^4 + 4*b^2*cosh(d*x + c)*sinh(d*x + c)^3 + b^2*sinh(d*x + c)^4 + 4*a*b*cosh(d*x + c)^2 + 2*(3*b^2*cosh(d*x + c)^2 + 2*a*b)*sinh(d*x + c)^2 + 8*a^2 + b^2 + 4*(b^2*cosh(d*x + c)^3 + 2*a*b*cosh(d*x + c))*sinh(d*x + c) - 2*(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 + 2*a)*sqrt(4*a^2 + b^2))/(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 4*a*cosh(d*x + c)^2 + 2*(3*b*cosh(d*x + c)^2 + 2*a)*sinh(d*x + c)^2 + 4*(b*cosh(d*x + c)^3 + 2*a*cosh(d*x + c))*sinh(d*x + c) - b))/(sqrt(4*a^2 + b^2)*d)","B",0
859,1,765,0,0.553733," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(4 \, a^{2} b + b^{3} - 2 \, {\left(4 \, a^{3} + a b^{2}\right)} \cosh\left(d x + c\right)^{2} - 4 \, {\left(4 \, a^{3} + a b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) - 2 \, {\left(4 \, a^{3} + a b^{2}\right)} \sinh\left(d x + c\right)^{2} - {\left(a b \cosh\left(d x + c\right)^{4} + 4 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a b \sinh\left(d x + c\right)^{4} + 4 \, a^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, a b \cosh\left(d x + c\right)^{2} + 2 \, a^{2}\right)} \sinh\left(d x + c\right)^{2} - a b + 4 \, {\left(a b \cosh\left(d x + c\right)^{3} + 2 \, a^{2} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{4 \, a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{4} + 4 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{2} \sinh\left(d x + c\right)^{4} + 4 \, a b \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(d x + c\right)^{2} + 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 8 \, a^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(d x + c\right)^{3} + 2 \, a b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 2 \, {\left(b \cosh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b \sinh\left(d x + c\right)^{2} + 2 \, a\right)} \sqrt{4 \, a^{2} + b^{2}}}{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b \cosh\left(d x + c\right)^{2} + 2 \, a\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b \cosh\left(d x + c\right)^{3} + 2 \, a \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - b}\right)\right)}}{{\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{4} + 4 \, {\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d \sinh\left(d x + c\right)^{4} + 4 \, {\left(16 \, a^{5} + 8 \, a^{3} b^{2} + a b^{4}\right)} d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{2} + 2 \, {\left(16 \, a^{5} + 8 \, a^{3} b^{2} + a b^{4}\right)} d\right)} \sinh\left(d x + c\right)^{2} - {\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d + 4 \, {\left({\left(16 \, a^{4} b + 8 \, a^{2} b^{3} + b^{5}\right)} d \cosh\left(d x + c\right)^{3} + 2 \, {\left(16 \, a^{5} + 8 \, a^{3} b^{2} + a b^{4}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}"," ",0,"-4*(4*a^2*b + b^3 - 2*(4*a^3 + a*b^2)*cosh(d*x + c)^2 - 4*(4*a^3 + a*b^2)*cosh(d*x + c)*sinh(d*x + c) - 2*(4*a^3 + a*b^2)*sinh(d*x + c)^2 - (a*b*cosh(d*x + c)^4 + 4*a*b*cosh(d*x + c)*sinh(d*x + c)^3 + a*b*sinh(d*x + c)^4 + 4*a^2*cosh(d*x + c)^2 + 2*(3*a*b*cosh(d*x + c)^2 + 2*a^2)*sinh(d*x + c)^2 - a*b + 4*(a*b*cosh(d*x + c)^3 + 2*a^2*cosh(d*x + c))*sinh(d*x + c))*sqrt(4*a^2 + b^2)*log((b^2*cosh(d*x + c)^4 + 4*b^2*cosh(d*x + c)*sinh(d*x + c)^3 + b^2*sinh(d*x + c)^4 + 4*a*b*cosh(d*x + c)^2 + 2*(3*b^2*cosh(d*x + c)^2 + 2*a*b)*sinh(d*x + c)^2 + 8*a^2 + b^2 + 4*(b^2*cosh(d*x + c)^3 + 2*a*b*cosh(d*x + c))*sinh(d*x + c) - 2*(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 + 2*a)*sqrt(4*a^2 + b^2))/(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 4*a*cosh(d*x + c)^2 + 2*(3*b*cosh(d*x + c)^2 + 2*a)*sinh(d*x + c)^2 + 4*(b*cosh(d*x + c)^3 + 2*a*cosh(d*x + c))*sinh(d*x + c) - b)))/((16*a^4*b + 8*a^2*b^3 + b^5)*d*cosh(d*x + c)^4 + 4*(16*a^4*b + 8*a^2*b^3 + b^5)*d*cosh(d*x + c)*sinh(d*x + c)^3 + (16*a^4*b + 8*a^2*b^3 + b^5)*d*sinh(d*x + c)^4 + 4*(16*a^5 + 8*a^3*b^2 + a*b^4)*d*cosh(d*x + c)^2 + 2*(3*(16*a^4*b + 8*a^2*b^3 + b^5)*d*cosh(d*x + c)^2 + 2*(16*a^5 + 8*a^3*b^2 + a*b^4)*d)*sinh(d*x + c)^2 - (16*a^4*b + 8*a^2*b^3 + b^5)*d + 4*((16*a^4*b + 8*a^2*b^3 + b^5)*d*cosh(d*x + c)^3 + 2*(16*a^5 + 8*a^3*b^2 + a*b^4)*d*cosh(d*x + c))*sinh(d*x + c))","B",0
860,1,2439,0,0.481627," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{6} + 12 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 2 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \sinh\left(d x + c\right)^{6} + 48 \, a^{3} b^{2} + 12 \, a b^{4} + 12 \, {\left(32 \, a^{5} + 4 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{4} + 6 \, {\left(64 \, a^{5} + 8 \, a^{3} b^{2} - 2 \, a b^{4} + 5 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + 8 \, {\left(5 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(32 \, a^{5} + 4 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 2 \, {\left(160 \, a^{4} b + 44 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(160 \, a^{4} b + 44 \, a^{2} b^{3} + b^{5} - 15 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{4} - 36 \, {\left(32 \, a^{5} + 4 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} - {\left({\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{8} + 8 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + {\left(8 \, a^{2} b^{2} - b^{4}\right)} \sinh\left(d x + c\right)^{8} + 8 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{6} + 4 \, {\left(16 \, a^{3} b - 2 \, a b^{3} + 7 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 2 \, {\left(64 \, a^{4} - 16 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{4} + 2 \, {\left(35 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{4} + 64 \, a^{4} - 16 \, a^{2} b^{2} + b^{4} + 60 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + 8 \, a^{2} b^{2} - b^{4} + 8 \, {\left(7 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{5} + 20 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} + {\left(64 \, a^{4} - 16 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 8 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{6} + 30 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{4} - 16 \, a^{3} b + 2 \, a b^{3} + 3 \, {\left(64 \, a^{4} - 16 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left({\left(8 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(d x + c\right)^{7} + 6 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{5} + {\left(64 \, a^{4} - 16 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right)^{3} - 2 \, {\left(8 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{4 \, a^{2} + b^{2}} \log\left(\frac{b^{2} \cosh\left(d x + c\right)^{4} + 4 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{2} \sinh\left(d x + c\right)^{4} + 4 \, a b \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(d x + c\right)^{2} + 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 8 \, a^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(d x + c\right)^{3} + 2 \, a b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 2 \, {\left(b \cosh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b \sinh\left(d x + c\right)^{2} + 2 \, a\right)} \sqrt{4 \, a^{2} + b^{2}}}{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, b \cosh\left(d x + c\right)^{2} + 2 \, a\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b \cosh\left(d x + c\right)^{3} + 2 \, a \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - b}\right) + 4 \, {\left(3 \, {\left(32 \, a^{4} b + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)^{5} + 12 \, {\left(32 \, a^{5} + 4 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(d x + c\right)^{3} - {\left(160 \, a^{4} b + 44 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}{{\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{8} + 8 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \sinh\left(d x + c\right)^{8} + 8 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{6} + 4 \, {\left(7 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 2 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{6} + 2 \, {\left(512 \, a^{8} + 320 \, a^{6} b^{2} + 48 \, a^{4} b^{4} - 4 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{4} + 8 \, {\left(7 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{3} + 6 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 2 \, {\left(35 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{4} + 60 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{2} + {\left(512 \, a^{8} + 320 \, a^{6} b^{2} + 48 \, a^{4} b^{4} - 4 \, a^{2} b^{6} - b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{4} - 8 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{2} + 8 \, {\left(7 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{5} + 20 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{3} + {\left(512 \, a^{8} + 320 \, a^{6} b^{2} + 48 \, a^{4} b^{4} - 4 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 4 \, {\left(7 \, {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{6} + 30 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{4} + 3 \, {\left(512 \, a^{8} + 320 \, a^{6} b^{2} + 48 \, a^{4} b^{4} - 4 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{2} - 2 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d + 8 \, {\left({\left(64 \, a^{6} b^{2} + 48 \, a^{4} b^{4} + 12 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{7} + 6 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)^{5} + {\left(512 \, a^{8} + 320 \, a^{6} b^{2} + 48 \, a^{4} b^{4} - 4 \, a^{2} b^{6} - b^{8}\right)} d \cosh\left(d x + c\right)^{3} - 2 \, {\left(64 \, a^{7} b + 48 \, a^{5} b^{3} + 12 \, a^{3} b^{5} + a b^{7}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}"," ",0,"2*(2*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)^6 + 12*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)*sinh(d*x + c)^5 + 2*(32*a^4*b + 4*a^2*b^3 - b^5)*sinh(d*x + c)^6 + 48*a^3*b^2 + 12*a*b^4 + 12*(32*a^5 + 4*a^3*b^2 - a*b^4)*cosh(d*x + c)^4 + 6*(64*a^5 + 8*a^3*b^2 - 2*a*b^4 + 5*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 8*(5*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)^3 + 6*(32*a^5 + 4*a^3*b^2 - a*b^4)*cosh(d*x + c))*sinh(d*x + c)^3 - 2*(160*a^4*b + 44*a^2*b^3 + b^5)*cosh(d*x + c)^2 - 2*(160*a^4*b + 44*a^2*b^3 + b^5 - 15*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)^4 - 36*(32*a^5 + 4*a^3*b^2 - a*b^4)*cosh(d*x + c)^2)*sinh(d*x + c)^2 - ((8*a^2*b^2 - b^4)*cosh(d*x + c)^8 + 8*(8*a^2*b^2 - b^4)*cosh(d*x + c)*sinh(d*x + c)^7 + (8*a^2*b^2 - b^4)*sinh(d*x + c)^8 + 8*(8*a^3*b - a*b^3)*cosh(d*x + c)^6 + 4*(16*a^3*b - 2*a*b^3 + 7*(8*a^2*b^2 - b^4)*cosh(d*x + c)^2)*sinh(d*x + c)^6 + 8*(7*(8*a^2*b^2 - b^4)*cosh(d*x + c)^3 + 6*(8*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c)^5 + 2*(64*a^4 - 16*a^2*b^2 + b^4)*cosh(d*x + c)^4 + 2*(35*(8*a^2*b^2 - b^4)*cosh(d*x + c)^4 + 64*a^4 - 16*a^2*b^2 + b^4 + 60*(8*a^3*b - a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 8*a^2*b^2 - b^4 + 8*(7*(8*a^2*b^2 - b^4)*cosh(d*x + c)^5 + 20*(8*a^3*b - a*b^3)*cosh(d*x + c)^3 + (64*a^4 - 16*a^2*b^2 + b^4)*cosh(d*x + c))*sinh(d*x + c)^3 - 8*(8*a^3*b - a*b^3)*cosh(d*x + c)^2 + 4*(7*(8*a^2*b^2 - b^4)*cosh(d*x + c)^6 + 30*(8*a^3*b - a*b^3)*cosh(d*x + c)^4 - 16*a^3*b + 2*a*b^3 + 3*(64*a^4 - 16*a^2*b^2 + b^4)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 8*((8*a^2*b^2 - b^4)*cosh(d*x + c)^7 + 6*(8*a^3*b - a*b^3)*cosh(d*x + c)^5 + (64*a^4 - 16*a^2*b^2 + b^4)*cosh(d*x + c)^3 - 2*(8*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c))*sqrt(4*a^2 + b^2)*log((b^2*cosh(d*x + c)^4 + 4*b^2*cosh(d*x + c)*sinh(d*x + c)^3 + b^2*sinh(d*x + c)^4 + 4*a*b*cosh(d*x + c)^2 + 2*(3*b^2*cosh(d*x + c)^2 + 2*a*b)*sinh(d*x + c)^2 + 8*a^2 + b^2 + 4*(b^2*cosh(d*x + c)^3 + 2*a*b*cosh(d*x + c))*sinh(d*x + c) + 2*(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 + 2*a)*sqrt(4*a^2 + b^2))/(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 4*a*cosh(d*x + c)^2 + 2*(3*b*cosh(d*x + c)^2 + 2*a)*sinh(d*x + c)^2 + 4*(b*cosh(d*x + c)^3 + 2*a*cosh(d*x + c))*sinh(d*x + c) - b)) + 4*(3*(32*a^4*b + 4*a^2*b^3 - b^5)*cosh(d*x + c)^5 + 12*(32*a^5 + 4*a^3*b^2 - a*b^4)*cosh(d*x + c)^3 - (160*a^4*b + 44*a^2*b^3 + b^5)*cosh(d*x + c))*sinh(d*x + c))/((64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^8 + 8*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)*sinh(d*x + c)^7 + (64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*sinh(d*x + c)^8 + 8*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^6 + 4*(7*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^2 + 2*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d)*sinh(d*x + c)^6 + 2*(512*a^8 + 320*a^6*b^2 + 48*a^4*b^4 - 4*a^2*b^6 - b^8)*d*cosh(d*x + c)^4 + 8*(7*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^3 + 6*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c))*sinh(d*x + c)^5 + 2*(35*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^4 + 60*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^2 + (512*a^8 + 320*a^6*b^2 + 48*a^4*b^4 - 4*a^2*b^6 - b^8)*d)*sinh(d*x + c)^4 - 8*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^2 + 8*(7*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^5 + 20*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^3 + (512*a^8 + 320*a^6*b^2 + 48*a^4*b^4 - 4*a^2*b^6 - b^8)*d*cosh(d*x + c))*sinh(d*x + c)^3 + 4*(7*(64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^6 + 30*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^4 + 3*(512*a^8 + 320*a^6*b^2 + 48*a^4*b^4 - 4*a^2*b^6 - b^8)*d*cosh(d*x + c)^2 - 2*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d)*sinh(d*x + c)^2 + (64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d + 8*((64*a^6*b^2 + 48*a^4*b^4 + 12*a^2*b^6 + b^8)*d*cosh(d*x + c)^7 + 6*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c)^5 + (512*a^8 + 320*a^6*b^2 + 48*a^4*b^4 - 4*a^2*b^6 - b^8)*d*cosh(d*x + c)^3 - 2*(64*a^7*b + 48*a^5*b^3 + 12*a^3*b^5 + a*b^7)*d*cosh(d*x + c))*sinh(d*x + c))","B",0
861,0,0,0,0.481644," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{2}\right)} \sqrt{b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a}, x\right)"," ",0,"integral((b^2*cosh(d*x + c)^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c)*sinh(d*x + c) + a^2)*sqrt(b*cosh(d*x + c)*sinh(d*x + c) + a), x)","F",0
862,0,0,0,0.469383," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*cosh(d*x + c)*sinh(d*x + c) + a)^(3/2), x)","F",0
863,0,0,0,0.461456," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a}, x\right)"," ",0,"integral(sqrt(b*cosh(d*x + c)*sinh(d*x + c) + a), x)","F",0
864,0,0,0,0.434539," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a}}, x\right)"," ",0,"integral(1/sqrt(b*cosh(d*x + c)*sinh(d*x + c) + a), x)","F",0
865,0,0,0,0.474896," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a}}{b^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*cosh(d*x + c)*sinh(d*x + c) + a)/(b^2*cosh(d*x + c)^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c)*sinh(d*x + c) + a^2), x)","F",0
866,0,0,0,0.476668," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a}}{b^{3} \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right)^{3} + 3 \, a b^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 3 \, a^{2} b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral(sqrt(b*cosh(d*x + c)*sinh(d*x + c) + a)/(b^3*cosh(d*x + c)^3*sinh(d*x + c)^3 + 3*a*b^2*cosh(d*x + c)^2*sinh(d*x + c)^2 + 3*a^2*b*cosh(d*x + c)*sinh(d*x + c) + a^3), x)","F",0
867,1,1488,0,0.541307," ","integrate(x^3/(a+b*cosh(x)*sinh(x)),x, algorithm=""fricas"")","-\frac{b x^{3} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b}\right) + b x^{3} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b}\right) - b x^{3} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b}\right) - b x^{3} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b}\right) + 3 \, b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b} + 1\right) + 3 \, b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b} + 1\right) - 3 \, b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b} + 1\right) - 6 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) - 6 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right) + 6 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right) + 6 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(4, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) + 6 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) - 6 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(4, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right) - 6 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(4, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right)}{4 \, a^{2} + b^{2}}"," ",0,"-(b*x^3*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b) + b*x^3*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b) - b*x^3*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b) - b*x^3*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b) + 3*b*x^2*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b + 1) + 3*b*x^2*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b + 1) - 3*b*x^2*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b + 1) - 3*b*x^2*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b + 1) - 6*b*x*sqrt((4*a^2 + b^2)/b^2)*polylog(3, (2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) - 6*b*x*sqrt((4*a^2 + b^2)/b^2)*polylog(3, -(2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) + 6*b*x*sqrt((4*a^2 + b^2)/b^2)*polylog(3, (2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b) + 6*b*x*sqrt((4*a^2 + b^2)/b^2)*polylog(3, -(2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b) + 6*b*sqrt((4*a^2 + b^2)/b^2)*polylog(4, (2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) + 6*b*sqrt((4*a^2 + b^2)/b^2)*polylog(4, -(2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) - 6*b*sqrt((4*a^2 + b^2)/b^2)*polylog(4, (2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b) - 6*b*sqrt((4*a^2 + b^2)/b^2)*polylog(4, -(2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b))/(4*a^2 + b^2)","C",0
868,1,1122,0,0.539285," ","integrate(x^2/(a+b*cosh(x)*sinh(x)),x, algorithm=""fricas"")","-\frac{b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b}\right) + b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b}\right) - b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b}\right) - b x^{2} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b}\right) + 2 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b} + 1\right) + 2 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b} + 1\right) - 2 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b} + 1\right) - 2 \, b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b} + 1\right) - 2 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) - 2 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}}}{b}\right) + 2 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, \frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right) + 2 \, b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}}}{b}\right)}{4 \, a^{2} + b^{2}}"," ",0,"-(b*x^2*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b) + b*x^2*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b) - b*x^2*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b) - b*x^2*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b) + 2*b*x*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b + 1) + 2*b*x*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b + 1) - 2*b*x*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b + 1) - 2*b*x*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b + 1) - 2*b*sqrt((4*a^2 + b^2)/b^2)*polylog(3, (2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) - 2*b*sqrt((4*a^2 + b^2)/b^2)*polylog(3, -(2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b)/b) + 2*b*sqrt((4*a^2 + b^2)/b^2)*polylog(3, (2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b) + 2*b*sqrt((4*a^2 + b^2)/b^2)*polylog(3, -(2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b)/b))/(4*a^2 + b^2)","C",0
869,1,754,0,0.481998," ","integrate(x/(a+b*cosh(x)*sinh(x)),x, algorithm=""fricas"")","-\frac{b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b}\right) + b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b}\right) - b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b}\right) - b x \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} \log\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b}\right) + b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} + b}{b} + 1\right) + b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) - {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{-\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} + 2 \, a}{b}} - b}{b} + 1\right) - b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} + b}{b} + 1\right) - b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} {\rm Li}_2\left(\frac{{\left(2 \, a \cosh\left(x\right) + 2 \, a \sinh\left(x\right) + {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}}\right)} \sqrt{\frac{b \sqrt{\frac{4 \, a^{2} + b^{2}}{b^{2}}} - 2 \, a}{b}} - b}{b} + 1\right)}{4 \, a^{2} + b^{2}}"," ",0,"-(b*x*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b) + b*x*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b) - b*x*sqrt((4*a^2 + b^2)/b^2)*log(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b) - b*x*sqrt((4*a^2 + b^2)/b^2)*log(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b) + b*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) + b)/b + 1) + b*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) - (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt(-(b*sqrt((4*a^2 + b^2)/b^2) + 2*a)/b) - b)/b + 1) - b*sqrt((4*a^2 + b^2)/b^2)*dilog(-((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) + b)/b + 1) - b*sqrt((4*a^2 + b^2)/b^2)*dilog(((2*a*cosh(x) + 2*a*sinh(x) + (b*cosh(x) + b*sinh(x))*sqrt((4*a^2 + b^2)/b^2))*sqrt((b*sqrt((4*a^2 + b^2)/b^2) - 2*a)/b) - b)/b + 1))/(4*a^2 + b^2)","B",0
870,0,0,0,0.538916," ","integrate(1/x/(a+b*cosh(x)*sinh(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x \cosh\left(x\right) \sinh\left(x\right) + a x}, x\right)"," ",0,"integral(1/(b*x*cosh(x)*sinh(x) + a*x), x)","F",0
871,0,0,0,0.489878," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^n,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \sinh\left(e x + d\right)^{n}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*sinh(e*x + d)^n, x)","F",0
872,1,105,0,0.489817," ","integrate(exp(2*b*x+2*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} - 2 \, \sinh\left(b x + a\right)^{3} - 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right) + 5 \, \cosh\left(b x + a\right)}{20 \, {\left(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}\right)}}"," ",0,"1/20*(3*cosh(b*x + a)^3 + 9*cosh(b*x + a)*sinh(b*x + a)^2 - 2*sinh(b*x + a)^3 - 2*(3*cosh(b*x + a)^2 + 5)*sinh(b*x + a) + 5*cosh(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)","A",0
873,1,92,0,0.447115," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(4 \, b x + 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(4 \, b x - 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(4 \, b x + 1\right)} \sinh\left(b x + a\right)^{2} - 4}{16 \, {\left(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}\right)}}"," ",0,"1/16*((4*b*x + 1)*cosh(b*x + a)^2 - 2*(4*b*x - 1)*cosh(b*x + a)*sinh(b*x + a) + (4*b*x + 1)*sinh(b*x + a)^2 - 4)/(b*cosh(b*x + a)^2 - 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
874,1,54,0,0.512999," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\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} - 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 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 3)/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
875,1,53,0,0.508883," ","integrate(exp(2*b*x+2*a)*csch(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right) - \log\left(\cosh\left(b x + a\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) + 2 \, \sinh\left(b x + a\right)}{b}"," ",0,"(2*cosh(b*x + a) - log(cosh(b*x + a) + sinh(b*x + a) + 1) + log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*sinh(b*x + a))/b","B",0
876,1,104,0,0.480543," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left({\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(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) - 1\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,"2*((cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) - 1)/(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
877,1,388,0,0.445222," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{10 \, \cosh\left(b x + a\right)^{3} + 30 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 10 \, \sinh\left(b x + a\right)^{3} + 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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)^{2} - 1\right)} \sinh\left(b x + a\right) - 6 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/2*(10*cosh(b*x + a)^3 + 30*cosh(b*x + a)*sinh(b*x + a)^2 + 10*sinh(b*x + a)^3 + 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(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)^2 - 1)*sinh(b*x + a) - 6*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
878,1,316,0,0.451578," ","integrate(exp(b*x+a)*sinh(d*x+c)^3,x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} - {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) + {\left(b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{3} - 3 \, {\left(b^{2} d - 9 \, d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) + 9 \, {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) + {\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} + 3 \, {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right)^{3} - {\left(b^{2} d - 9 \, d^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} - {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(b x + a\right) - {\left(b^{3} - 9 \, b d^{2} - {\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)}}"," ",0,"-1/4*(3*(b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)^3 - ((b^3 - b*d^2)*cosh(b*x + a) + (b^3 - b*d^2)*sinh(b*x + a))*sinh(d*x + c)^3 - 3*(b^2*d - 9*d^3)*cosh(b*x + a)*cosh(d*x + c) + 9*((b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c) + (b^2*d - d^3)*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c)^2 + 3*((b^2*d - d^3)*cosh(d*x + c)^3 - (b^2*d - 9*d^3)*cosh(d*x + c))*sinh(b*x + a) - 3*((b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)^2 - (b^3 - 9*b*d^2)*cosh(b*x + a) - (b^3 - 9*b*d^2 - (b^3 - b*d^2)*cosh(d*x + c)^2)*sinh(b*x + a))*sinh(d*x + c))/(b^4 - 10*b^2*d^2 + 9*d^4)","B",0
879,1,149,0,0.450077," ","integrate(exp(b*x+a)*sinh(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} \cosh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} - {\left(b^{2} - 4 \, d^{2}\right)} \cosh\left(b x + a\right) + {\left(b^{2} \cosh\left(d x + c\right)^{2} - b^{2} + 4 \, d^{2}\right)} \sinh\left(b x + a\right) - 4 \, {\left(b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) + b d \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left(b^{3} - 4 \, b d^{2}\right)}}"," ",0,"1/2*(b^2*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*cosh(b*x + a) + b^2*sinh(b*x + a))*sinh(d*x + c)^2 - (b^2 - 4*d^2)*cosh(b*x + a) + (b^2*cosh(d*x + c)^2 - b^2 + 4*d^2)*sinh(b*x + a) - 4*(b*d*cosh(b*x + a)*cosh(d*x + c) + b*d*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c))/(b^3 - 4*b*d^2)","A",0
880,1,67,0,0.488967," ","integrate(exp(b*x+a)*sinh(d*x+c),x, algorithm=""fricas"")","-\frac{d \cosh\left(b x + a\right) \cosh\left(d x + c\right) + d \cosh\left(d x + c\right) \sinh\left(b x + a\right) - {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{b^{2} - d^{2}}"," ",0,"-(d*cosh(b*x + a)*cosh(d*x + c) + d*cosh(d*x + c)*sinh(b*x + a) - (b*cosh(b*x + a) + b*sinh(b*x + a))*sinh(d*x + c))/(b^2 - d^2)","A",0
881,0,0,0,0.467262," ","integrate(exp(b*x+a)*csch(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(d x + c\right) e^{\left(b x + a\right)}, x\right)"," ",0,"integral(csch(d*x + c)*e^(b*x + a), x)","F",0
882,0,0,0,0.497126," ","integrate(exp(d*x+c)*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(csch(b*x + a)^2*e^(d*x + c), x)","F",0
883,0,0,0,0.547688," ","integrate(exp(d*x+c)*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(csch(b*x + a)^3*e^(d*x + c), x)","F",0
884,0,0,0,0.541147," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^n,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \cosh\left(e x + d\right)^{n}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*cosh(e*x + d)^n, x)","F",0
885,1,313,0,0.555784," ","integrate(exp(b*x+a)*cosh(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{3} - 3 \, {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) + {\left(b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) + 3 \, {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) + {\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} + {\left({\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(b^{3} - 9 \, b d^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(b x + a\right) - 3 \, {\left(3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} d - 9 \, d^{3}\right)} \cosh\left(b x + a\right) + {\left(b^{2} d - 9 \, d^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left(b^{4} - 10 \, b^{2} d^{2} + 9 \, d^{4}\right)}}"," ",0,"1/4*((b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)^3 - 3*((b^2*d - d^3)*cosh(b*x + a) + (b^2*d - d^3)*sinh(b*x + a))*sinh(d*x + c)^3 + 3*(b^3 - 9*b*d^2)*cosh(b*x + a)*cosh(d*x + c) + 3*((b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c) + (b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c)^2 + ((b^3 - b*d^2)*cosh(d*x + c)^3 + 3*(b^3 - 9*b*d^2)*cosh(d*x + c))*sinh(b*x + a) - 3*(3*(b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*d - 9*d^3)*cosh(b*x + a) + (b^2*d - 9*d^3 + 3*(b^2*d - d^3)*cosh(d*x + c)^2)*sinh(b*x + a))*sinh(d*x + c))/(b^4 - 10*b^2*d^2 + 9*d^4)","B",0
886,1,146,0,0.445377," ","integrate(exp(b*x+a)*cosh(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} \cosh\left(b x + a\right) \cosh\left(d x + c\right)^{2} + {\left(b^{2} \cosh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)^{2} + {\left(b^{2} - 4 \, d^{2}\right)} \cosh\left(b x + a\right) + {\left(b^{2} \cosh\left(d x + c\right)^{2} + b^{2} - 4 \, d^{2}\right)} \sinh\left(b x + a\right) - 4 \, {\left(b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) + b d \cosh\left(d x + c\right) \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left(b^{3} - 4 \, b d^{2}\right)}}"," ",0,"1/2*(b^2*cosh(b*x + a)*cosh(d*x + c)^2 + (b^2*cosh(b*x + a) + b^2*sinh(b*x + a))*sinh(d*x + c)^2 + (b^2 - 4*d^2)*cosh(b*x + a) + (b^2*cosh(d*x + c)^2 + b^2 - 4*d^2)*sinh(b*x + a) - 4*(b*d*cosh(b*x + a)*cosh(d*x + c) + b*d*cosh(d*x + c)*sinh(b*x + a))*sinh(d*x + c))/(b^3 - 4*b*d^2)","A",0
887,1,66,0,0.527338," ","integrate(exp(b*x+a)*cosh(d*x+c),x, algorithm=""fricas"")","\frac{b \cosh\left(b x + a\right) \cosh\left(d x + c\right) + b \cosh\left(d x + c\right) \sinh\left(b x + a\right) - {\left(d \cosh\left(b x + a\right) + d \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{b^{2} - d^{2}}"," ",0,"(b*cosh(b*x + a)*cosh(d*x + c) + b*cosh(d*x + c)*sinh(b*x + a) - (d*cosh(b*x + a) + d*sinh(b*x + a))*sinh(d*x + c))/(b^2 - d^2)","A",0
888,0,0,0,0.532871," ","integrate(exp(b*x+a)*sech(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right), x\right)"," ",0,"integral(e^(b*x + a)*sech(d*x + c), x)","F",0
889,0,0,0,0.406734," ","integrate(exp(b*x+a)*sech(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right)^{2}, x\right)"," ",0,"integral(e^(b*x + a)*sech(d*x + c)^2, x)","F",0
890,0,0,0,0.471550," ","integrate(exp(b*x+a)*sech(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right)^{3}, x\right)"," ",0,"integral(e^(b*x + a)*sech(d*x + c)^3, x)","F",0
891,0,0,0,0.547328," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^n,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{sech}\left(e x + d\right)^{n}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*sech(e*x + d)^n, x)","F",0
892,0,0,0,0.528782," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^n,x, algorithm=""fricas"")","{\rm integral}\left(F^{b c x + a c} \operatorname{csch}\left(e x + d\right)^{n}, x\right)"," ",0,"integral(F^(b*c*x + a*c)*csch(e*x + d)^n, x)","F",0
893,1,442,0,0.536552," ","integrate(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d))^2,x, algorithm=""fricas"")","\frac{{\left(24 \, e^{4} f^{2} e^{\left(2 \, e x + 2 \, d\right)} - {\left(b^{4} c^{4} f^{2} e^{\left(4 \, e x + 4 \, d\right)} - 4 i \, b^{4} c^{4} f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 6 \, b^{4} c^{4} f^{2} e^{\left(2 \, e x + 2 \, d\right)} + 4 i \, b^{4} c^{4} f^{2} e^{\left(e x + d\right)} + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} + {\left(2 \, b^{3} c^{3} e f^{2} e^{\left(4 \, e x + 4 \, d\right)} - 4 i \, b^{3} c^{3} e f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 4 i \, b^{3} c^{3} e f^{2} e^{\left(e x + d\right)} - 2 \, b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} + {\left(b^{2} c^{2} e^{2} f^{2} e^{\left(4 \, e x + 4 \, d\right)} - 16 i \, b^{2} c^{2} e^{2} f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 30 \, b^{2} c^{2} e^{2} f^{2} e^{\left(2 \, e x + 2 \, d\right)} + 16 i \, b^{2} c^{2} e^{2} f^{2} e^{\left(e x + d\right)} + b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} - {\left(2 \, b c e^{3} f^{2} e^{\left(4 \, e x + 4 \, d\right)} - 16 i \, b c e^{3} f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 16 i \, b c e^{3} f^{2} e^{\left(e x + d\right)} - 2 \, b c e^{3} f^{2}\right)} \log\left(F\right)\right)} F^{b c x + a c}}{4 \, {\left(b^{5} c^{5} e^{\left(2 \, e x + 2 \, d\right)} \log\left(F\right)^{5} - 5 \, b^{3} c^{3} e^{2} e^{\left(2 \, e x + 2 \, d\right)} \log\left(F\right)^{3} + 4 \, b c e^{4} e^{\left(2 \, e x + 2 \, d\right)} \log\left(F\right)\right)}}"," ",0,"1/4*(24*e^4*f^2*e^(2*e*x + 2*d) - (b^4*c^4*f^2*e^(4*e*x + 4*d) - 4*I*b^4*c^4*f^2*e^(3*e*x + 3*d) - 6*b^4*c^4*f^2*e^(2*e*x + 2*d) + 4*I*b^4*c^4*f^2*e^(e*x + d) + b^4*c^4*f^2)*log(F)^4 + (2*b^3*c^3*e*f^2*e^(4*e*x + 4*d) - 4*I*b^3*c^3*e*f^2*e^(3*e*x + 3*d) - 4*I*b^3*c^3*e*f^2*e^(e*x + d) - 2*b^3*c^3*e*f^2)*log(F)^3 + (b^2*c^2*e^2*f^2*e^(4*e*x + 4*d) - 16*I*b^2*c^2*e^2*f^2*e^(3*e*x + 3*d) - 30*b^2*c^2*e^2*f^2*e^(2*e*x + 2*d) + 16*I*b^2*c^2*e^2*f^2*e^(e*x + d) + b^2*c^2*e^2*f^2)*log(F)^2 - (2*b*c*e^3*f^2*e^(4*e*x + 4*d) - 16*I*b*c*e^3*f^2*e^(3*e*x + 3*d) - 16*I*b*c*e^3*f^2*e^(e*x + d) - 2*b*c*e^3*f^2)*log(F))*F^(b*c*x + a*c)/(b^5*c^5*e^(2*e*x + 2*d)*log(F)^5 - 5*b^3*c^3*e^2*e^(2*e*x + 2*d)*log(F)^3 + 4*b*c*e^4*e^(2*e*x + 2*d)*log(F))","A",0
894,1,135,0,0.492637," ","integrate(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d)),x, algorithm=""fricas"")","-\frac{{\left(2 \, e^{2} f e^{\left(e x + d\right)} - {\left(i \, b^{2} c^{2} f e^{\left(2 \, e x + 2 \, d\right)} + 2 \, b^{2} c^{2} f e^{\left(e x + d\right)} - i \, b^{2} c^{2} f\right)} \log\left(F\right)^{2} - {\left(-i \, b c e f e^{\left(2 \, e x + 2 \, d\right)} - i \, b c e f\right)} \log\left(F\right)\right)} F^{b c x + a c}}{2 \, {\left(b^{3} c^{3} e^{\left(e x + d\right)} \log\left(F\right)^{3} - b c e^{2} e^{\left(e x + d\right)} \log\left(F\right)\right)}}"," ",0,"-1/2*(2*e^2*f*e^(e*x + d) - (I*b^2*c^2*f*e^(2*e*x + 2*d) + 2*b^2*c^2*f*e^(e*x + d) - I*b^2*c^2*f)*log(F)^2 - (-I*b*c*e*f*e^(2*e*x + 2*d) - I*b*c*e*f)*log(F))*F^(b*c*x + a*c)/(b^3*c^3*e^(e*x + d)*log(F)^3 - b*c*e^2*e^(e*x + d)*log(F))","A",0
895,0,0,0,0.482389," ","integrate(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d)),x, algorithm=""fricas"")","\frac{{\left(e f e^{\left(e x + d\right)} - i \, e f\right)} {\rm integral}\left(-\frac{2 i \, F^{b c x + a c} b c \log\left(F\right)}{e f e^{\left(e x + d\right)} - i \, e f}, x\right) + 2 i \, F^{b c x + a c}}{e f e^{\left(e x + d\right)} - i \, e f}"," ",0,"((e*f*e^(e*x + d) - I*e*f)*integral(-2*I*F^(b*c*x + a*c)*b*c*log(F)/(e*f*e^(e*x + d) - I*e*f), x) + 2*I*F^(b*c*x + a*c))/(e*f*e^(e*x + d) - I*e*f)","F",0
896,0,0,0,0.489753," ","integrate(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d))^2,x, algorithm=""fricas"")","\frac{{\left(6 \, e^{2} e^{\left(e x + d\right)} + {\left(-2 i \, b^{2} c^{2} e^{\left(2 \, e x + 2 \, d\right)} - 4 \, b^{2} c^{2} e^{\left(e x + d\right)} + 2 i \, b^{2} c^{2}\right)} \log\left(F\right)^{2} - 2 i \, e^{2} - 2 \, {\left(i \, b c e e^{\left(2 \, e x + 2 \, d\right)} + b c e e^{\left(e x + d\right)}\right)} \log\left(F\right)\right)} F^{b c x + a c} + {\left(3 \, e^{3} f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 9 i \, e^{3} f^{2} e^{\left(2 \, e x + 2 \, d\right)} - 9 \, e^{3} f^{2} e^{\left(e x + d\right)} + 3 i \, e^{3} f^{2}\right)} {\rm integral}\left(\frac{{\left(2 i \, b^{3} c^{3} \log\left(F\right)^{3} - 2 i \, b c e^{2} \log\left(F\right)\right)} F^{b c x + a c}}{3 \, e^{3} f^{2} e^{\left(e x + d\right)} - 3 i \, e^{3} f^{2}}, x\right)}{3 \, e^{3} f^{2} e^{\left(3 \, e x + 3 \, d\right)} - 9 i \, e^{3} f^{2} e^{\left(2 \, e x + 2 \, d\right)} - 9 \, e^{3} f^{2} e^{\left(e x + d\right)} + 3 i \, e^{3} f^{2}}"," ",0,"((6*e^2*e^(e*x + d) + (-2*I*b^2*c^2*e^(2*e*x + 2*d) - 4*b^2*c^2*e^(e*x + d) + 2*I*b^2*c^2)*log(F)^2 - 2*I*e^2 - 2*(I*b*c*e*e^(2*e*x + 2*d) + b*c*e*e^(e*x + d))*log(F))*F^(b*c*x + a*c) + (3*e^3*f^2*e^(3*e*x + 3*d) - 9*I*e^3*f^2*e^(2*e*x + 2*d) - 9*e^3*f^2*e^(e*x + d) + 3*I*e^3*f^2)*integral((2*I*b^3*c^3*log(F)^3 - 2*I*b*c*e^2*log(F))*F^(b*c*x + a*c)/(3*e^3*f^2*e^(e*x + d) - 3*I*e^3*f^2), x))/(3*e^3*f^2*e^(3*e*x + 3*d) - 9*I*e^3*f^2*e^(2*e*x + 2*d) - 9*e^3*f^2*e^(e*x + d) + 3*I*e^3*f^2)","F",0
897,1,2340,0,0.492332," ","integrate(F^(c*(b*x+a))*(f+f*cosh(e*x+d))^2,x, algorithm=""fricas"")","\frac{{\left(24 \, e^{4} f^{2} \cosh\left(e x + d\right)^{2} + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{4} + 4 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{3} + 6 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 4 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} + {\left(b^{4} c^{4} f^{2} \log\left(F\right)^{4} - 2 \, b^{3} c^{3} e f^{2} \log\left(F\right)^{3} - b^{2} c^{2} e^{2} f^{2} \log\left(F\right)^{2} + 2 \, b c e^{3} f^{2} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} - 2 \, {\left(b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{4} + 2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{3} - 2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right) - b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} + 4 \, {\left({\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - {\left(2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right) + b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 4 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right) + 2 \, b c e^{3} f^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{4} + 16 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{3} + 30 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 16 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 6 \, {\left(4 \, e^{4} f^{2} + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 2 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - 2 \, {\left(b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{2} + b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 8 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 5 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{2} + 4 \, b c e^{3} f^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{4} + 8 \, b c e^{3} f^{2} \cosh\left(e x + d\right)^{3} - 8 \, b c e^{3} f^{2} \cosh\left(e x + d\right) - b c e^{3} f^{2}\right)} \log\left(F\right) + 4 \, {\left(12 \, e^{4} f^{2} \cosh\left(e x + d\right) + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{3} + 3 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 3 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - {\left(2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{3} + 3 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{2} - b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{3} + 12 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 15 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 4 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{3} + 6 \, b c e^{3} f^{2} \cosh\left(e x + d\right)^{2} - 2 \, b c e^{3} f^{2}\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(24 \, e^{4} f^{2} \cosh\left(e x + d\right)^{2} + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{4} + 4 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{3} + 6 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 4 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} + {\left(b^{4} c^{4} f^{2} \log\left(F\right)^{4} - 2 \, b^{3} c^{3} e f^{2} \log\left(F\right)^{3} - b^{2} c^{2} e^{2} f^{2} \log\left(F\right)^{2} + 2 \, b c e^{3} f^{2} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{4} - 2 \, {\left(b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{4} + 2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{3} - 2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right) - b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} + 4 \, {\left({\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - {\left(2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right) + b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 4 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right) + 2 \, b c e^{3} f^{2}\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{4} + 16 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{3} + 30 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 16 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 6 \, {\left(4 \, e^{4} f^{2} + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 2 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - 2 \, {\left(b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{2} + b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 8 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 5 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{2} + 4 \, b c e^{3} f^{2} \cosh\left(e x + d\right)\right)} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{4} + 8 \, b c e^{3} f^{2} \cosh\left(e x + d\right)^{3} - 8 \, b c e^{3} f^{2} \cosh\left(e x + d\right) - b c e^{3} f^{2}\right)} \log\left(F\right) + 4 \, {\left(12 \, e^{4} f^{2} \cosh\left(e x + d\right) + {\left(b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{3} + 3 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right)^{2} + 3 \, b^{4} c^{4} f^{2} \cosh\left(e x + d\right) + b^{4} c^{4} f^{2}\right)} \log\left(F\right)^{4} - {\left(2 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{3} + 3 \, b^{3} c^{3} e f^{2} \cosh\left(e x + d\right)^{2} - b^{3} c^{3} e f^{2}\right)} \log\left(F\right)^{3} - {\left(b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{3} + 12 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right)^{2} + 15 \, b^{2} c^{2} e^{2} f^{2} \cosh\left(e x + d\right) + 4 \, b^{2} c^{2} e^{2} f^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b c e^{3} f^{2} \cosh\left(e x + d\right)^{3} + 6 \, b c e^{3} f^{2} \cosh\left(e x + d\right)^{2} - 2 \, b c e^{3} f^{2}\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)}{4 \, {\left(b^{5} c^{5} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{5} - 5 \, b^{3} c^{3} e^{2} \cosh\left(e x + d\right)^{2} \log\left(F\right)^{3} + 4 \, b c e^{4} \cosh\left(e x + d\right)^{2} \log\left(F\right) + {\left(b^{5} c^{5} \log\left(F\right)^{5} - 5 \, b^{3} c^{3} e^{2} \log\left(F\right)^{3} + 4 \, b c e^{4} \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + 2 \, {\left(b^{5} c^{5} \cosh\left(e x + d\right) \log\left(F\right)^{5} - 5 \, b^{3} c^{3} e^{2} \cosh\left(e x + d\right) \log\left(F\right)^{3} + 4 \, b c e^{4} \cosh\left(e x + d\right) \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"1/4*((24*e^4*f^2*cosh(e*x + d)^2 + (b^4*c^4*f^2*cosh(e*x + d)^4 + 4*b^4*c^4*f^2*cosh(e*x + d)^3 + 6*b^4*c^4*f^2*cosh(e*x + d)^2 + 4*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 + (b^4*c^4*f^2*log(F)^4 - 2*b^3*c^3*e*f^2*log(F)^3 - b^2*c^2*e^2*f^2*log(F)^2 + 2*b*c*e^3*f^2*log(F))*sinh(e*x + d)^4 - 2*(b^3*c^3*e*f^2*cosh(e*x + d)^4 + 2*b^3*c^3*e*f^2*cosh(e*x + d)^3 - 2*b^3*c^3*e*f^2*cosh(e*x + d) - b^3*c^3*e*f^2)*log(F)^3 + 4*((b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - (2*b^3*c^3*e*f^2*cosh(e*x + d) + b^3*c^3*e*f^2)*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d) + 4*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d) + 2*b*c*e^3*f^2)*log(F))*sinh(e*x + d)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^4 + 16*b^2*c^2*e^2*f^2*cosh(e*x + d)^3 + 30*b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 16*b^2*c^2*e^2*f^2*cosh(e*x + d) + b^2*c^2*e^2*f^2)*log(F)^2 + 6*(4*e^4*f^2 + (b^4*c^4*f^2*cosh(e*x + d)^2 + 2*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - 2*(b^3*c^3*e*f^2*cosh(e*x + d)^2 + b^3*c^3*e*f^2*cosh(e*x + d))*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 8*b^2*c^2*e^2*f^2*cosh(e*x + d) + 5*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^2 + 4*b*c*e^3*f^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^4 + 8*b*c*e^3*f^2*cosh(e*x + d)^3 - 8*b*c*e^3*f^2*cosh(e*x + d) - b*c*e^3*f^2)*log(F) + 4*(12*e^4*f^2*cosh(e*x + d) + (b^4*c^4*f^2*cosh(e*x + d)^3 + 3*b^4*c^4*f^2*cosh(e*x + d)^2 + 3*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - (2*b^3*c^3*e*f^2*cosh(e*x + d)^3 + 3*b^3*c^3*e*f^2*cosh(e*x + d)^2 - b^3*c^3*e*f^2)*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^3 + 12*b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 15*b^2*c^2*e^2*f^2*cosh(e*x + d) + 4*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^3 + 6*b*c*e^3*f^2*cosh(e*x + d)^2 - 2*b*c*e^3*f^2)*log(F))*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + (24*e^4*f^2*cosh(e*x + d)^2 + (b^4*c^4*f^2*cosh(e*x + d)^4 + 4*b^4*c^4*f^2*cosh(e*x + d)^3 + 6*b^4*c^4*f^2*cosh(e*x + d)^2 + 4*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 + (b^4*c^4*f^2*log(F)^4 - 2*b^3*c^3*e*f^2*log(F)^3 - b^2*c^2*e^2*f^2*log(F)^2 + 2*b*c*e^3*f^2*log(F))*sinh(e*x + d)^4 - 2*(b^3*c^3*e*f^2*cosh(e*x + d)^4 + 2*b^3*c^3*e*f^2*cosh(e*x + d)^3 - 2*b^3*c^3*e*f^2*cosh(e*x + d) - b^3*c^3*e*f^2)*log(F)^3 + 4*((b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - (2*b^3*c^3*e*f^2*cosh(e*x + d) + b^3*c^3*e*f^2)*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d) + 4*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d) + 2*b*c*e^3*f^2)*log(F))*sinh(e*x + d)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^4 + 16*b^2*c^2*e^2*f^2*cosh(e*x + d)^3 + 30*b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 16*b^2*c^2*e^2*f^2*cosh(e*x + d) + b^2*c^2*e^2*f^2)*log(F)^2 + 6*(4*e^4*f^2 + (b^4*c^4*f^2*cosh(e*x + d)^2 + 2*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - 2*(b^3*c^3*e*f^2*cosh(e*x + d)^2 + b^3*c^3*e*f^2*cosh(e*x + d))*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 8*b^2*c^2*e^2*f^2*cosh(e*x + d) + 5*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^2 + 4*b*c*e^3*f^2*cosh(e*x + d))*log(F))*sinh(e*x + d)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^4 + 8*b*c*e^3*f^2*cosh(e*x + d)^3 - 8*b*c*e^3*f^2*cosh(e*x + d) - b*c*e^3*f^2)*log(F) + 4*(12*e^4*f^2*cosh(e*x + d) + (b^4*c^4*f^2*cosh(e*x + d)^3 + 3*b^4*c^4*f^2*cosh(e*x + d)^2 + 3*b^4*c^4*f^2*cosh(e*x + d) + b^4*c^4*f^2)*log(F)^4 - (2*b^3*c^3*e*f^2*cosh(e*x + d)^3 + 3*b^3*c^3*e*f^2*cosh(e*x + d)^2 - b^3*c^3*e*f^2)*log(F)^3 - (b^2*c^2*e^2*f^2*cosh(e*x + d)^3 + 12*b^2*c^2*e^2*f^2*cosh(e*x + d)^2 + 15*b^2*c^2*e^2*f^2*cosh(e*x + d) + 4*b^2*c^2*e^2*f^2)*log(F)^2 + 2*(b*c*e^3*f^2*cosh(e*x + d)^3 + 6*b*c*e^3*f^2*cosh(e*x + d)^2 - 2*b*c*e^3*f^2)*log(F))*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^5*c^5*cosh(e*x + d)^2*log(F)^5 - 5*b^3*c^3*e^2*cosh(e*x + d)^2*log(F)^3 + 4*b*c*e^4*cosh(e*x + d)^2*log(F) + (b^5*c^5*log(F)^5 - 5*b^3*c^3*e^2*log(F)^3 + 4*b*c*e^4*log(F))*sinh(e*x + d)^2 + 2*(b^5*c^5*cosh(e*x + d)*log(F)^5 - 5*b^3*c^3*e^2*cosh(e*x + d)*log(F)^3 + 4*b*c*e^4*cosh(e*x + d)*log(F))*sinh(e*x + d))","B",0
898,1,430,0,0.418182," ","integrate(F^(c*(b*x+a))*(f+f*cosh(e*x+d)),x, algorithm=""fricas"")","-\frac{{\left(2 \, e^{2} f \cosh\left(e x + d\right) - {\left(b^{2} c^{2} f \cosh\left(e x + d\right)^{2} + 2 \, b^{2} c^{2} f \cosh\left(e x + d\right) + b^{2} c^{2} f\right)} \log\left(F\right)^{2} - {\left(b^{2} c^{2} f \log\left(F\right)^{2} - b c e f \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + {\left(b c e f \cosh\left(e x + d\right)^{2} - b c e f\right)} \log\left(F\right) + 2 \, {\left(b c e f \cosh\left(e x + d\right) \log\left(F\right) + e^{2} f - {\left(b^{2} c^{2} f \cosh\left(e x + d\right) + b^{2} c^{2} f\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(2 \, e^{2} f \cosh\left(e x + d\right) - {\left(b^{2} c^{2} f \cosh\left(e x + d\right)^{2} + 2 \, b^{2} c^{2} f \cosh\left(e x + d\right) + b^{2} c^{2} f\right)} \log\left(F\right)^{2} - {\left(b^{2} c^{2} f \log\left(F\right)^{2} - b c e f \log\left(F\right)\right)} \sinh\left(e x + d\right)^{2} + {\left(b c e f \cosh\left(e x + d\right)^{2} - b c e f\right)} \log\left(F\right) + 2 \, {\left(b c e f \cosh\left(e x + d\right) \log\left(F\right) + e^{2} f - {\left(b^{2} c^{2} f \cosh\left(e x + d\right) + b^{2} c^{2} f\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)}{2 \, {\left(b^{3} c^{3} \cosh\left(e x + d\right) \log\left(F\right)^{3} - b c e^{2} \cosh\left(e x + d\right) \log\left(F\right) + {\left(b^{3} c^{3} \log\left(F\right)^{3} - b c e^{2} \log\left(F\right)\right)} \sinh\left(e x + d\right)\right)}}"," ",0,"-1/2*((2*e^2*f*cosh(e*x + d) - (b^2*c^2*f*cosh(e*x + d)^2 + 2*b^2*c^2*f*cosh(e*x + d) + b^2*c^2*f)*log(F)^2 - (b^2*c^2*f*log(F)^2 - b*c*e*f*log(F))*sinh(e*x + d)^2 + (b*c*e*f*cosh(e*x + d)^2 - b*c*e*f)*log(F) + 2*(b*c*e*f*cosh(e*x + d)*log(F) + e^2*f - (b^2*c^2*f*cosh(e*x + d) + b^2*c^2*f)*log(F)^2)*sinh(e*x + d))*cosh((b*c*x + a*c)*log(F)) + (2*e^2*f*cosh(e*x + d) - (b^2*c^2*f*cosh(e*x + d)^2 + 2*b^2*c^2*f*cosh(e*x + d) + b^2*c^2*f)*log(F)^2 - (b^2*c^2*f*log(F)^2 - b*c*e*f*log(F))*sinh(e*x + d)^2 + (b*c*e*f*cosh(e*x + d)^2 - b*c*e*f)*log(F) + 2*(b*c*e*f*cosh(e*x + d)*log(F) + e^2*f - (b^2*c^2*f*cosh(e*x + d) + b^2*c^2*f)*log(F)^2)*sinh(e*x + d))*sinh((b*c*x + a*c)*log(F)))/(b^3*c^3*cosh(e*x + d)*log(F)^3 - b*c*e^2*cosh(e*x + d)*log(F) + (b^3*c^3*log(F)^3 - b*c*e^2*log(F))*sinh(e*x + d))","B",0
899,0,0,0,0.510077," ","integrate(F^(c*(b*x+a))/(f+f*cosh(e*x+d)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b c x + a c}}{f \cosh\left(e x + d\right) + f}, x\right)"," ",0,"integral(F^(b*c*x + a*c)/(f*cosh(e*x + d) + f), x)","F",0
900,0,0,0,0.485940," ","integrate(F^(c*(b*x+a))/(f+f*cosh(e*x+d))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b c x + a c}}{f^{2} \cosh\left(e x + d\right)^{2} + 2 \, f^{2} \cosh\left(e x + d\right) + f^{2}}, x\right)"," ",0,"integral(F^(b*c*x + a*c)/(f^2*cosh(e*x + d)^2 + 2*f^2*cosh(e*x + d) + f^2), x)","F",0
901,1,111,0,0.483468," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} - \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + {\left(6 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right)^{2} - 5 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{3} - 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{30 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/30*(cosh(b*x + a)^4 - cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + (6*cosh(b*x + a)^2 - 5)*sinh(b*x + a)^2 - 5*cosh(b*x + a)^2 - (cosh(b*x + a)^3 - 5*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
902,1,95,0,0.433519," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2,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} - 3 \, \sinh\left(b x + a\right)^{3} + 2 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) - {\left(4 \, b x + 9 \, \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*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 - 3*sinh(b*x + a)^3 + 2*(2*b*x + 1)*cosh(b*x + a) - (4*b*x + 9*cosh(b*x + a)^2 - 2)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
903,1,53,0,0.445309," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sinh\left(b x + a\right)^{2}}{3 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/3*(cosh(b*x + a)^2 - cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2)/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
904,1,49,0,0.425585," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right) - \log\left(\cosh\left(b x + a\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) + \sinh\left(b x + a\right)}{b}"," ",0,"(cosh(b*x + a) - log(cosh(b*x + a) + sinh(b*x + a) + 1) + log(cosh(b*x + a) + sinh(b*x + a) - 1) + sinh(b*x + a))/b","B",0
905,1,103,0,0.434149," ","integrate(exp(b*x+a)*cosh(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(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) - 2}{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(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) - 2)/(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
906,1,387,0,0.446061," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(b x + a\right)^{3} + 18 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 6 \, \sinh\left(b x + a\right)^{3} + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 2 \, {\left(9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - 2 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"-1/2*(6*cosh(b*x + a)^3 + 18*cosh(b*x + a)*sinh(b*x + a)^2 + 6*sinh(b*x + a)^3 + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(9*cosh(b*x + a)^2 - 1)*sinh(b*x + a) - 2*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
907,1,167,0,0.472543," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b x + a\right)^{5} + 25 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - \sinh\left(b x + a\right)^{5} - {\left(10 \, \cosh\left(b x + a\right)^{2} - 3\right)} \sinh\left(b x + a\right)^{3} - 9 \, \cosh\left(b x + a\right)^{3} + {\left(50 \, \cosh\left(b x + a\right)^{3} - 27 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 12 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) - {\left(5 \, \cosh\left(b x + a\right)^{4} + 24 \, b x - 9 \, \cosh\left(b x + a\right)^{2} + 12\right)} \sinh\left(b x + a\right)}{384 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/384*(5*cosh(b*x + a)^5 + 25*cosh(b*x + a)*sinh(b*x + a)^4 - sinh(b*x + a)^5 - (10*cosh(b*x + a)^2 - 3)*sinh(b*x + a)^3 - 9*cosh(b*x + a)^3 + (50*cosh(b*x + a)^3 - 27*cosh(b*x + a))*sinh(b*x + a)^2 + 12*(2*b*x - 1)*cosh(b*x + a) - (5*cosh(b*x + a)^4 + 24*b*x - 9*cosh(b*x + a)^2 + 12)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
908,1,90,0,0.435105," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{4} - 16 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} - 16 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 15}{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)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 - 16*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 15)/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
909,1,96,0,0.529743," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a),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} - 2 \, {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right) + {\left(4 \, b x - 3 \, \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 - 2*(2*b*x - 1)*cosh(b*x + a) + (4*b*x - 3*cosh(b*x + a)^2 + 2)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
910,1,72,0,0.475871," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b x - \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} - 4 \, \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{4 \, b}"," ",0,"-1/4*(2*b*x - cosh(b*x + a)^2 - 2*cosh(b*x + a)*sinh(b*x + a) - sinh(b*x + a)^2 - 4*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","A",0
911,1,198,0,0.509303," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^2,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} + \sinh\left(b x + a\right)^{3} - {\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) + 3 \, {\left(\cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right) - 3 \, \cosh\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)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 - (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) + 3*(cosh(b*x + a)^2 - 1)*sinh(b*x + a) - 3*cosh(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
912,1,262,0,0.470093," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{4 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 4 \, \sinh\left(b x + a\right)^{2} - 2}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-(4*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 8*cosh(b*x + a)*sinh(b*x + a) + 4*sinh(b*x + a)^2 - 2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
913,1,154,0,0.447891," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{6} - 10 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 45 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 \, \sinh\left(b x + a\right)^{6} + 5 \, {\left(9 \, \cosh\left(b x + a\right)^{4} - 7\right)} \sinh\left(b x + a\right)^{2} - 35 \, \cosh\left(b x + a\right)^{2} - {\left(3 \, \cosh\left(b x + a\right)^{5} - 35 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{560 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/560*(3*cosh(b*x + a)^6 - 10*cosh(b*x + a)^3*sinh(b*x + a)^3 + 45*cosh(b*x + a)^2*sinh(b*x + a)^4 - 3*cosh(b*x + a)*sinh(b*x + a)^5 + 3*sinh(b*x + a)^6 + 5*(9*cosh(b*x + a)^4 - 7)*sinh(b*x + a)^2 - 35*cosh(b*x + a)^2 - (3*cosh(b*x + a)^5 - 35*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
914,1,165,0,0.466720," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 5 \, \sinh\left(b x + a\right)^{5} - {\left(50 \, \cosh\left(b x + a\right)^{2} + 9\right)} \sinh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)^{3} + {\left(10 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 12 \, {\left(2 \, b x + 1\right)} \cosh\left(b x + a\right) - {\left(25 \, \cosh\left(b x + a\right)^{4} + 24 \, b x + 27 \, \cosh\left(b x + a\right)^{2} - 12\right)} \sinh\left(b x + a\right)}{384 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/384*(cosh(b*x + a)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 - 5*sinh(b*x + a)^5 - (50*cosh(b*x + a)^2 + 9)*sinh(b*x + a)^3 + 3*cosh(b*x + a)^3 + (10*cosh(b*x + a)^3 + 9*cosh(b*x + a))*sinh(b*x + a)^2 + 12*(2*b*x + 1)*cosh(b*x + a) - (25*cosh(b*x + a)^4 + 24*b*x + 27*cosh(b*x + a)^2 - 12)*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","B",0
915,1,111,0,0.441557," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} - \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + {\left(6 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{2} + 5 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{30 \, {\left(b \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)}}"," ",0,"1/30*(cosh(b*x + a)^4 - cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + (6*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^2 + 5*cosh(b*x + a)^2 - (cosh(b*x + a)^3 + 5*cosh(b*x + a))*sinh(b*x + a))/(b*cosh(b*x + a) - b*sinh(b*x + a))","A",0
916,1,170,0,0.539124," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 6 \, {\left(\cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right)^{2} + 12 \, \cosh\left(b x + a\right)^{2} - 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 12 \, {\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 4 \, {\left(\cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 3}{12 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"1/12*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 6*(cosh(b*x + a)^2 + 2)*sinh(b*x + a)^2 + 12*cosh(b*x + a)^2 - 12*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 12*(cosh(b*x + a) + sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 4*(cosh(b*x + a)^3 + 6*cosh(b*x + a))*sinh(b*x + a) + 3)/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
917,1,213,0,0.461002," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} + {\left(2 \, b x + 6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, b x + 4 \, {\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(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 2 \, {\left(2 \, \cosh\left(b x + a\right)^{3} + {\left(2 \, b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 8}{4 \, {\left(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\right)}}"," ",0,"1/4*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + (2*b*x - 1)*cosh(b*x + a)^2 + (2*b*x + 6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*b*x + 4*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 2*(2*cosh(b*x + a)^3 + (2*b*x - 1)*cosh(b*x + a))*sinh(b*x + a) - 8)/(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
918,1,459,0,0.489100," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b x + a\right)^{5} + 10 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 2 \, \sinh\left(b x + a\right)^{5} + 10 \, {\left(2 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{3} - 10 \, \cosh\left(b x + a\right)^{3} + 10 \, {\left(2 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{4} - 15 \, \cosh\left(b x + a\right)^{2} + 2\right)} \sinh\left(b x + a\right) + 4 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"1/2*(2*cosh(b*x + a)^5 + 10*cosh(b*x + a)*sinh(b*x + a)^4 + 2*sinh(b*x + a)^5 + 10*(2*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^3 - 10*cosh(b*x + a)^3 + 10*(2*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^2 - 3*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(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)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(5*cosh(b*x + a)^4 - 15*cosh(b*x + a)^2 + 2)*sinh(b*x + a) + 4*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
919,1,152,0,0.453217," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + a\right)^{4} - 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, \sinh\left(b x + a\right)^{4} + 3 \, {\left(4 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(4 \, b x + 8 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(4 \, \cosh\left(b x + a\right)^{3} + 3 \, {\left(4 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{96 \, {\left(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}\right)}}"," ",0,"1/96*(4*cosh(b*x + a)^4 - 8*cosh(b*x + a)*sinh(b*x + a)^3 + 4*sinh(b*x + a)^4 + 3*(4*b*x - 1)*cosh(b*x + a)^2 + 3*(4*b*x + 8*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*(4*cosh(b*x + a)^3 + 3*(4*b*x + 1)*cosh(b*x + a))*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",0
920,1,105,0,0.425502," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(b x + a\right)^{3} + 18 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 9 \, \sinh\left(b x + a\right)^{3} - {\left(27 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right) + 10 \, \cosh\left(b x + a\right)}{60 \, {\left(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}\right)}}"," ",0,"-1/60*(6*cosh(b*x + a)^3 + 18*cosh(b*x + a)*sinh(b*x + a)^2 - 9*sinh(b*x + a)^3 - (27*cosh(b*x + a)^2 + 5)*sinh(b*x + a) + 10*cosh(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)","A",0
921,1,91,0,0.468191," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(4 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(4 \, b x + 1\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(4 \, b x - 1\right)} \sinh\left(b x + a\right)^{2}}{16 \, {\left(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}\right)}}"," ",0,"-1/16*((4*b*x - 1)*cosh(b*x + a)^2 - 2*(4*b*x + 1)*cosh(b*x + a)*sinh(b*x + a) + (4*b*x - 1)*sinh(b*x + a)^2)/(b*cosh(b*x + a)^2 - 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
922,1,64,0,0.525514," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","\frac{\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} + 2 \, \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{2 \, b}"," ",0,"1/2*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 + 2*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","A",0
923,1,200,0,0.479943," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(\cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sinh\left(b x + a\right)^{3} - {\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) + {\left(3 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right) - 2 \, \cosh\left(b x + a\right)\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,"2*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 - (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) + (3*cosh(b*x + a)^2 - 2)*sinh(b*x + a) - 2*cosh(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
924,1,262,0,0.519515," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 3 \, \sinh\left(b x + a\right)^{2} - 2\right)}}{b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b}"," ",0,"-2*(3*cosh(b*x + a)^2 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 6*cosh(b*x + a)*sinh(b*x + a) + 3*sinh(b*x + a)^2 - 2)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
925,1,175,0,0.445441," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{25 \, \cosh\left(b x + a\right)^{5} + 125 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 10 \, \sinh\left(b x + a\right)^{5} - 2 \, {\left(50 \, \cosh\left(b x + a\right)^{2} - 21\right)} \sinh\left(b x + a\right)^{3} - 63 \, \cosh\left(b x + a\right)^{3} + {\left(250 \, \cosh\left(b x + a\right)^{3} - 189 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(25 \, \cosh\left(b x + a\right)^{4} - 63 \, \cosh\left(b x + a\right)^{2} + 70\right)} \sinh\left(b x + a\right) + 70 \, \cosh\left(b x + a\right)}{1680 \, {\left(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}\right)}}"," ",0,"1/1680*(25*cosh(b*x + a)^5 + 125*cosh(b*x + a)*sinh(b*x + a)^4 - 10*sinh(b*x + a)^5 - 2*(50*cosh(b*x + a)^2 - 21)*sinh(b*x + a)^3 - 63*cosh(b*x + a)^3 + (250*cosh(b*x + a)^3 - 189*cosh(b*x + a))*sinh(b*x + a)^2 - 2*(25*cosh(b*x + a)^4 - 63*cosh(b*x + a)^2 + 70)*sinh(b*x + a) + 70*cosh(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",0
926,1,108,0,0.466791," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x + a\right)^{4} - 8 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} - 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 3}{48 \, {\left(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}\right)}}"," ",0,"-1/48*(cosh(b*x + a)^4 - 8*cosh(b*x + a)^3*sinh(b*x + a) + 6*cosh(b*x + a)^2*sinh(b*x + a)^2 - 8*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 3)/(b*cosh(b*x + a)^2 - 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
927,1,105,0,0.540586," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{9 \, \cosh\left(b x + a\right)^{3} + 27 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 6 \, \sinh\left(b x + a\right)^{3} - 2 \, {\left(9 \, \cosh\left(b x + a\right)^{2} - 5\right)} \sinh\left(b x + a\right) - 5 \, \cosh\left(b x + a\right)}{60 \, {\left(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}\right)}}"," ",0,"1/60*(9*cosh(b*x + a)^3 + 27*cosh(b*x + a)*sinh(b*x + a)^2 - 6*sinh(b*x + a)^3 - 2*(9*cosh(b*x + a)^2 - 5)*sinh(b*x + a) - 5*cosh(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)","A",0
928,1,98,0,0.496562," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a),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} + \sinh\left(b x + a\right)^{3} + 3 \, {\left(\cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 9 \, \cosh\left(b x + a\right) - 6 \, \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 6 \, \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right)}{6 \, b}"," ",0,"1/6*(cosh(b*x + a)^3 + 3*cosh(b*x + a)*sinh(b*x + a)^2 + sinh(b*x + a)^3 + 3*(cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 9*cosh(b*x + a) - 6*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 6*log(cosh(b*x + a) + sinh(b*x + a) - 1))/b","B",0
929,1,195,0,0.480724," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + {\left(6 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{2} + 4 \, {\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(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 2 \, {\left(2 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - 4}{2 \, {\left(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\right)}}"," ",0,"1/2*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + (6*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - cosh(b*x + a)^2 + 4*(cosh(b*x + a)^2 + 2*cosh(b*x + a)*sinh(b*x + a) + sinh(b*x + a)^2 - 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 2*(2*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) - 4)/(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
930,1,459,0,0.514780," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + a\right)^{5} + 20 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 4 \, \sinh\left(b x + a\right)^{5} + 2 \, {\left(20 \, \cosh\left(b x + a\right)^{2} - 9\right)} \sinh\left(b x + a\right)^{3} - 18 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(20 \, \cosh\left(b x + a\right)^{3} - 27 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 5 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 5 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\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) + 2 \, {\left(10 \, \cosh\left(b x + a\right)^{4} - 27 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right) + 10 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"1/2*(4*cosh(b*x + a)^5 + 20*cosh(b*x + a)*sinh(b*x + a)^4 + 4*sinh(b*x + a)^5 + 2*(20*cosh(b*x + a)^2 - 9)*sinh(b*x + a)^3 - 18*cosh(b*x + a)^3 + 2*(20*cosh(b*x + a)^3 - 27*cosh(b*x + a))*sinh(b*x + a)^2 - 5*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 5*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(10*cosh(b*x + a)^4 - 27*cosh(b*x + a)^2 + 5)*sinh(b*x + a) + 10*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
931,1,186,0,0.457447," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{6} - 20 \, \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 45 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 \, \sinh\left(b x + a\right)^{6} + 6 \, {\left(4 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(15 \, \cosh\left(b x + a\right)^{4} + 8 \, b x - 2\right)} \sinh\left(b x + a\right)^{2} - 6 \, {\left(\cosh\left(b x + a\right)^{5} + 2 \, {\left(4 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{512 \, {\left(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}\right)}}"," ",0,"1/512*(3*cosh(b*x + a)^6 - 20*cosh(b*x + a)^3*sinh(b*x + a)^3 + 45*cosh(b*x + a)^2*sinh(b*x + a)^4 - 6*cosh(b*x + a)*sinh(b*x + a)^5 + 3*sinh(b*x + a)^6 + 6*(4*b*x - 1)*cosh(b*x + a)^2 + 3*(15*cosh(b*x + a)^4 + 8*b*x - 2)*sinh(b*x + a)^2 - 6*(cosh(b*x + a)^5 + 2*(4*b*x + 1)*cosh(b*x + a))*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",0
932,1,176,0,0.460116," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{10 \, \cosh\left(b x + a\right)^{5} + 50 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 25 \, \sinh\left(b x + a\right)^{5} - {\left(250 \, \cosh\left(b x + a\right)^{2} + 63\right)} \sinh\left(b x + a\right)^{3} + 42 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(50 \, \cosh\left(b x + a\right)^{3} + 63 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - {\left(125 \, \cosh\left(b x + a\right)^{4} + 189 \, \cosh\left(b x + a\right)^{2} + 70\right)} \sinh\left(b x + a\right) + 140 \, \cosh\left(b x + a\right)}{1680 \, {\left(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}\right)}}"," ",0,"-1/1680*(10*cosh(b*x + a)^5 + 50*cosh(b*x + a)*sinh(b*x + a)^4 - 25*sinh(b*x + a)^5 - (250*cosh(b*x + a)^2 + 63)*sinh(b*x + a)^3 + 42*cosh(b*x + a)^3 + 2*(50*cosh(b*x + a)^3 + 63*cosh(b*x + a))*sinh(b*x + a)^2 - (125*cosh(b*x + a)^4 + 189*cosh(b*x + a)^2 + 70)*sinh(b*x + a) + 140*cosh(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",0
933,1,152,0,0.582976," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + a\right)^{4} - 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 4 \, \sinh\left(b x + a\right)^{4} - 3 \, {\left(4 \, b x - 1\right)} \cosh\left(b x + a\right)^{2} - 3 \, {\left(4 \, b x - 8 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(4 \, \cosh\left(b x + a\right)^{3} - 3 \, {\left(4 \, b x + 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)}{96 \, {\left(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}\right)}}"," ",0,"1/96*(4*cosh(b*x + a)^4 - 8*cosh(b*x + a)*sinh(b*x + a)^3 + 4*sinh(b*x + a)^4 - 3*(4*b*x - 1)*cosh(b*x + a)^2 - 3*(4*b*x - 8*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*(4*cosh(b*x + a)^3 - 3*(4*b*x + 1)*cosh(b*x + a))*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",0
934,1,127,0,0.453245," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{4} + 4 \, \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} + 4\right)} \sinh\left(b x + a\right)^{2} - 4 \, b x + 8 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} + 4 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 16 \, \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{16 \, b}"," ",0,"1/16*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 + 4)*sinh(b*x + a)^2 - 4*b*x + 8*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 + 4*cosh(b*x + a))*sinh(b*x + a) + 16*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
935,1,272,0,0.522907," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","\frac{\cosh\left(b x + a\right)^{5} + 5 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + \sinh\left(b x + a\right)^{5} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{2} + 7\right)} \sinh\left(b x + a\right)^{3} + 14 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 21 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 12 \, {\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) + 12 \, {\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(5 \, \cosh\left(b x + a\right)^{4} + 42 \, \cosh\left(b x + a\right)^{2} - 27\right)} \sinh\left(b x + a\right) - 27 \, \cosh\left(b x + a\right)}{6 \, {\left(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\right)}}"," ",0,"1/6*(cosh(b*x + a)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 + sinh(b*x + a)^5 + 2*(5*cosh(b*x + a)^2 + 7)*sinh(b*x + a)^3 + 14*cosh(b*x + a)^3 + 2*(5*cosh(b*x + a)^3 + 21*cosh(b*x + a))*sinh(b*x + a)^2 - 12*(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) + 12*(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) + (5*cosh(b*x + a)^4 + 42*cosh(b*x + a)^2 - 27)*sinh(b*x + a) - 27*cosh(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
936,1,398,0,0.483875," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","\frac{\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} + {\left(15 \, \cosh\left(b x + a\right)^{2} - 2\right)} \sinh\left(b x + a\right)^{4} - 2 \, \cosh\left(b x + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 2 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + {\left(15 \, \cosh\left(b x + a\right)^{4} - 12 \, \cosh\left(b x + a\right)^{2} - 11\right)} \sinh\left(b x + a\right)^{2} - 11 \, \cosh\left(b x + a\right)^{2} + 6 \, {\left(\cosh\left(b x + a\right)^{4} + 4 \, \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} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{5} - 4 \, \cosh\left(b x + a\right)^{3} - 11 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 8}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(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,"1/2*(cosh(b*x + a)^6 + 6*cosh(b*x + a)*sinh(b*x + a)^5 + sinh(b*x + a)^6 + (15*cosh(b*x + a)^2 - 2)*sinh(b*x + a)^4 - 2*cosh(b*x + a)^4 + 4*(5*cosh(b*x + a)^3 - 2*cosh(b*x + a))*sinh(b*x + a)^3 + (15*cosh(b*x + a)^4 - 12*cosh(b*x + a)^2 - 11)*sinh(b*x + a)^2 - 11*cosh(b*x + a)^2 + 6*(cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))) + 2*(3*cosh(b*x + a)^5 - 4*cosh(b*x + a)^3 - 11*cosh(b*x + a))*sinh(b*x + a) + 8)/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
937,1,164,0,0.506441," ","integrate(exp(x)*sech(2*x)*tanh(2*x),x, algorithm=""fricas"")","-\frac{4 \, {\left(\sqrt{2} e^{\left(4 \, 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(4 \, 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) + {\left(\sqrt{2} e^{\left(4 \, 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(4 \, x\right)} + \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 8 \, e^{\left(3 \, x\right)}}{8 \, {\left(e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/8*(4*(sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 4*(sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) + (sqrt(2)*e^(4*x) + sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) - (sqrt(2)*e^(4*x) + sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 8*e^(3*x))/(e^(4*x) + 1)","B",0
938,1,210,0,0.511052," ","integrate(exp(x)*sech(2*x)^2*tanh(2*x),x, algorithm=""fricas"")","-\frac{4 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, 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)} + 2 \, \sqrt{2} e^{\left(4 \, 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) - {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, 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)} + 2 \, \sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 40 \, e^{\left(5 \, x\right)} + 8 \, e^{x}}{32 \, {\left(e^{\left(8 \, x\right)} + 2 \, e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/32*(4*(sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*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) + 2*sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - (sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 40*e^(5*x) + 8*e^x)/(e^(8*x) + 2*e^(4*x) + 1)","B",0
939,1,213,0,0.505926," ","integrate(exp(x)*sech(2*x)*tanh(2*x)^2,x, algorithm=""fricas"")","-\frac{20 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, 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) + 20 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, 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) + 5 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - 5 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} + 2 \, \sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 24 \, e^{\left(7 \, x\right)} - 8 \, e^{\left(3 \, x\right)}}{32 \, {\left(e^{\left(8 \, x\right)} + 2 \, e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/32*(20*(sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 20*(sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) + 5*(sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 5*(sqrt(2)*e^(8*x) + 2*sqrt(2)*e^(4*x) + sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 24*e^(7*x) - 8*e^(3*x))/(e^(8*x) + 2*e^(4*x) + 1)","B",0
940,1,259,0,0.508400," ","integrate(exp(x)*sech(2*x)^2*tanh(2*x)^2,x, algorithm=""fricas"")","-\frac{36 \, {\left(\sqrt{2} e^{\left(12 \, x\right)} + 3 \, \sqrt{2} e^{\left(8 \, x\right)} + 3 \, \sqrt{2} e^{\left(4 \, 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) + 36 \, {\left(\sqrt{2} e^{\left(12 \, x\right)} + 3 \, \sqrt{2} e^{\left(8 \, x\right)} + 3 \, \sqrt{2} e^{\left(4 \, 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) - 9 \, {\left(\sqrt{2} e^{\left(12 \, x\right)} + 3 \, \sqrt{2} e^{\left(8 \, x\right)} + 3 \, \sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 9 \, {\left(\sqrt{2} e^{\left(12 \, x\right)} + 3 \, \sqrt{2} e^{\left(8 \, x\right)} + 3 \, \sqrt{2} e^{\left(4 \, x\right)} + \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 232 \, e^{\left(9 \, x\right)} + 48 \, e^{\left(5 \, x\right)} + 72 \, e^{x}}{192 \, {\left(e^{\left(12 \, x\right)} + 3 \, e^{\left(8 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/192*(36*(sqrt(2)*e^(12*x) + 3*sqrt(2)*e^(8*x) + 3*sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 36*(sqrt(2)*e^(12*x) + 3*sqrt(2)*e^(8*x) + 3*sqrt(2)*e^(4*x) + sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 9*(sqrt(2)*e^(12*x) + 3*sqrt(2)*e^(8*x) + 3*sqrt(2)*e^(4*x) + sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 9*(sqrt(2)*e^(12*x) + 3*sqrt(2)*e^(8*x) + 3*sqrt(2)*e^(4*x) + sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 232*e^(9*x) + 48*e^(5*x) + 72*e^x)/(e^(12*x) + 3*e^(8*x) + 3*e^(4*x) + 1)","B",0
941,1,202,0,0.534613," ","integrate(exp(x)*coth(2*x)*csch(2*x),x, algorithm=""fricas"")","-\frac{4 \, \cosh\left(x\right)^{3} + 12 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 4 \, \sinh\left(x\right)^{3} - 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 \, {\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*(4*cosh(x)^3 + 12*cosh(x)^2*sinh(x) + 12*cosh(x)*sinh(x)^2 + 4*sinh(x)^3 - 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))/(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
942,1,522,0,0.542476," ","integrate(exp(x)*coth(2*x)*csch(2*x)^2,x, algorithm=""fricas"")","-\frac{20 \, \cosh\left(x\right)^{5} + 200 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 200 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 100 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 20 \, \sinh\left(x\right)^{5} + 2 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 4 \, {\left(25 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right) - 4 \, \cosh\left(x\right)}{16 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/16*(20*cosh(x)^5 + 200*cosh(x)^3*sinh(x)^2 + 200*cosh(x)^2*sinh(x)^3 + 100*cosh(x)*sinh(x)^4 + 20*sinh(x)^5 + 2*(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + (cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*log(cosh(x) + sinh(x) + 1) - (cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 4*(25*cosh(x)^4 - 1)*sinh(x) - 4*cosh(x))/(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)","B",0
943,1,557,0,0.468885," ","integrate(exp(x)*coth(2*x)^2*csch(2*x),x, algorithm=""fricas"")","-\frac{12 \, \cosh\left(x\right)^{7} + 420 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{4} + 252 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{5} + 84 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + 12 \, \sinh\left(x\right)^{7} + 4 \, {\left(105 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{3} + 4 \, \cosh\left(x\right)^{3} + 12 \, {\left(21 \, \cosh\left(x\right)^{5} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 10 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 5 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 5 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 12 \, {\left(7 \, \cosh\left(x\right)^{6} + \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{16 \, {\left(\cosh\left(x\right)^{8} + 56 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{5} + 28 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{6} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/16*(12*cosh(x)^7 + 420*cosh(x)^3*sinh(x)^4 + 252*cosh(x)^2*sinh(x)^5 + 84*cosh(x)*sinh(x)^6 + 12*sinh(x)^7 + 4*(105*cosh(x)^4 + 1)*sinh(x)^3 + 4*cosh(x)^3 + 12*(21*cosh(x)^5 + cosh(x))*sinh(x)^2 - 10*(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 5*(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*log(cosh(x) + sinh(x) + 1) - 5*(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 12*(7*cosh(x)^6 + cosh(x)^2)*sinh(x))/(cosh(x)^8 + 56*cosh(x)^3*sinh(x)^5 + 28*cosh(x)^2*sinh(x)^6 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 2*(35*cosh(x)^4 - 1)*sinh(x)^4 - 2*cosh(x)^4 + 8*(7*cosh(x)^5 - cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 3*cosh(x)^2)*sinh(x)^2 + 8*(cosh(x)^7 - cosh(x)^3)*sinh(x) + 1)","B",0
944,1,992,0,0.531736," ","integrate(exp(x)*coth(2*x)^2*csch(2*x)^2,x, algorithm=""fricas"")","-\frac{116 \, \cosh\left(x\right)^{9} + 9744 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{6} + 4176 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{7} + 1044 \, \cosh\left(x\right) \sinh\left(x\right)^{8} + 116 \, \sinh\left(x\right)^{9} + 24 \, {\left(609 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{5} - 24 \, \cosh\left(x\right)^{5} + 24 \, {\left(609 \, \cosh\left(x\right)^{5} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 48 \, {\left(203 \, \cosh\left(x\right)^{6} - 5 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 48 \, {\left(87 \, \cosh\left(x\right)^{7} - 5 \, \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{2} + 18 \, {\left(\cosh\left(x\right)^{12} + 220 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{9} + 66 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{10} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 3 \, {\left(165 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 84 \, {\left(11 \, \cosh\left(x\right)^{6} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 7 \, \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{5} + 3 \, {\left(165 \, \cosh\left(x\right)^{8} - 70 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(55 \, \cosh\left(x\right)^{9} - 42 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 14 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 2 \, \cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) - 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 9 \, {\left(\cosh\left(x\right)^{12} + 220 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{9} + 66 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{10} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 3 \, {\left(165 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 84 \, {\left(11 \, \cosh\left(x\right)^{6} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 7 \, \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{5} + 3 \, {\left(165 \, \cosh\left(x\right)^{8} - 70 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(55 \, \cosh\left(x\right)^{9} - 42 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 14 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 2 \, \cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 9 \, {\left(\cosh\left(x\right)^{12} + 220 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{9} + 66 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{10} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 3 \, {\left(165 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 84 \, {\left(11 \, \cosh\left(x\right)^{6} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 7 \, \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{5} + 3 \, {\left(165 \, \cosh\left(x\right)^{8} - 70 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(55 \, \cosh\left(x\right)^{9} - 42 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 14 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 2 \, \cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 12 \, {\left(87 \, \cosh\left(x\right)^{8} - 10 \, \cosh\left(x\right)^{4} + 3\right)} \sinh\left(x\right) + 36 \, \cosh\left(x\right)}{96 \, {\left(\cosh\left(x\right)^{12} + 220 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{9} + 66 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{10} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{11} + \sinh\left(x\right)^{12} + 3 \, {\left(165 \, \cosh\left(x\right)^{4} - 1\right)} \sinh\left(x\right)^{8} - 3 \, \cosh\left(x\right)^{8} + 24 \, {\left(33 \, \cosh\left(x\right)^{5} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 84 \, {\left(11 \, \cosh\left(x\right)^{6} - \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(33 \, \cosh\left(x\right)^{7} - 7 \, \cosh\left(x\right)^{3}\right)} \sinh\left(x\right)^{5} + 3 \, {\left(165 \, \cosh\left(x\right)^{8} - 70 \, \cosh\left(x\right)^{4} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(55 \, \cosh\left(x\right)^{9} - 42 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, \cosh\left(x\right)^{10} - 14 \, \cosh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left(\cosh\left(x\right)^{11} - 2 \, \cosh\left(x\right)^{7} + \cosh\left(x\right)^{3}\right)} \sinh\left(x\right) - 1\right)}}"," ",0,"-1/96*(116*cosh(x)^9 + 9744*cosh(x)^3*sinh(x)^6 + 4176*cosh(x)^2*sinh(x)^7 + 1044*cosh(x)*sinh(x)^8 + 116*sinh(x)^9 + 24*(609*cosh(x)^4 - 1)*sinh(x)^5 - 24*cosh(x)^5 + 24*(609*cosh(x)^5 - 5*cosh(x))*sinh(x)^4 + 48*(203*cosh(x)^6 - 5*cosh(x)^2)*sinh(x)^3 + 48*(87*cosh(x)^7 - 5*cosh(x)^3)*sinh(x)^2 + 18*(cosh(x)^12 + 220*cosh(x)^3*sinh(x)^9 + 66*cosh(x)^2*sinh(x)^10 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 3*(165*cosh(x)^4 - 1)*sinh(x)^8 - 3*cosh(x)^8 + 24*(33*cosh(x)^5 - cosh(x))*sinh(x)^7 + 84*(11*cosh(x)^6 - cosh(x)^2)*sinh(x)^6 + 24*(33*cosh(x)^7 - 7*cosh(x)^3)*sinh(x)^5 + 3*(165*cosh(x)^8 - 70*cosh(x)^4 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(55*cosh(x)^9 - 42*cosh(x)^5 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 14*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 12*(cosh(x)^11 - 2*cosh(x)^7 + cosh(x)^3)*sinh(x) - 1)*arctan(cosh(x) + sinh(x)) + 9*(cosh(x)^12 + 220*cosh(x)^3*sinh(x)^9 + 66*cosh(x)^2*sinh(x)^10 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 3*(165*cosh(x)^4 - 1)*sinh(x)^8 - 3*cosh(x)^8 + 24*(33*cosh(x)^5 - cosh(x))*sinh(x)^7 + 84*(11*cosh(x)^6 - cosh(x)^2)*sinh(x)^6 + 24*(33*cosh(x)^7 - 7*cosh(x)^3)*sinh(x)^5 + 3*(165*cosh(x)^8 - 70*cosh(x)^4 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(55*cosh(x)^9 - 42*cosh(x)^5 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 14*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 12*(cosh(x)^11 - 2*cosh(x)^7 + cosh(x)^3)*sinh(x) - 1)*log(cosh(x) + sinh(x) + 1) - 9*(cosh(x)^12 + 220*cosh(x)^3*sinh(x)^9 + 66*cosh(x)^2*sinh(x)^10 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 3*(165*cosh(x)^4 - 1)*sinh(x)^8 - 3*cosh(x)^8 + 24*(33*cosh(x)^5 - cosh(x))*sinh(x)^7 + 84*(11*cosh(x)^6 - cosh(x)^2)*sinh(x)^6 + 24*(33*cosh(x)^7 - 7*cosh(x)^3)*sinh(x)^5 + 3*(165*cosh(x)^8 - 70*cosh(x)^4 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(55*cosh(x)^9 - 42*cosh(x)^5 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 14*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 12*(cosh(x)^11 - 2*cosh(x)^7 + cosh(x)^3)*sinh(x) - 1)*log(cosh(x) + sinh(x) - 1) + 12*(87*cosh(x)^8 - 10*cosh(x)^4 + 3)*sinh(x) + 36*cosh(x))/(cosh(x)^12 + 220*cosh(x)^3*sinh(x)^9 + 66*cosh(x)^2*sinh(x)^10 + 12*cosh(x)*sinh(x)^11 + sinh(x)^12 + 3*(165*cosh(x)^4 - 1)*sinh(x)^8 - 3*cosh(x)^8 + 24*(33*cosh(x)^5 - cosh(x))*sinh(x)^7 + 84*(11*cosh(x)^6 - cosh(x)^2)*sinh(x)^6 + 24*(33*cosh(x)^7 - 7*cosh(x)^3)*sinh(x)^5 + 3*(165*cosh(x)^8 - 70*cosh(x)^4 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(55*cosh(x)^9 - 42*cosh(x)^5 + 3*cosh(x))*sinh(x)^3 + 6*(11*cosh(x)^10 - 14*cosh(x)^6 + 3*cosh(x)^2)*sinh(x)^2 + 12*(cosh(x)^11 - 2*cosh(x)^7 + cosh(x)^3)*sinh(x) - 1)","B",0
945,1,505,0,0.499441," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} + {\left(16 \, b^{3} - b d^{2} - 6 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) - {\left({\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} - {\left(16 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) - {\left({\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} - {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(4 \, b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)^{4} - {\left(16 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(16 \, b^{3} - b d^{2} - 6 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"-1/2*((4*b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^3 - (4*b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)^4 + (16*b^3 - b*d^2 - 6*(4*b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a)^2 + ((4*b^2*d - d^3)*cosh(b*x + a)^3 - (16*b^2*d - d^3)*cosh(b*x + a))*cosh(d*x + c)*sinh(b*x + a) - ((4*b^3 - b*d^2)*cosh(b*x + a)^4 - (16*b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c) - ((4*b^3 - b*d^2)*cosh(b*x + a)^4 - (4*b^2*d - d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (4*b^3 - b*d^2)*sinh(b*x + a)^4 - (16*b^3 - b*d^2)*cosh(b*x + a)^2 - (16*b^3 - b*d^2 - 6*(4*b^3 - b*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - ((4*b^2*d - d^3)*cosh(b*x + a)^3 - (16*b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a))*sinh(d*x + c))/((64*b^4 - 20*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(64*b^4 - 20*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (64*b^4 - 20*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
946,1,379,0,0.429208," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} + {\left(9 \, b^{3} - b d^{2} - 9 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(9 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) + {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)^{3} - {\left(9 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) + {\left(9 \, b^{3} - b d^{2} - 9 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"-1/4*(3*(b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^2 - 3*(b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)^3 + (9*b^3 - b*d^2 - 9*(b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a) + ((b^2*d - d^3)*cosh(b*x + a)^3 - (9*b^2*d - d^3)*cosh(b*x + a))*cosh(d*x + c) + ((b^2*d - d^3)*cosh(b*x + a)^3 + 3*(b^2*d - d^3)*cosh(b*x + a)*sinh(b*x + a)^2 - 3*(b^3 - b*d^2)*sinh(b*x + a)^3 - (9*b^2*d - d^3)*cosh(b*x + a) + (9*b^3 - b*d^2 - 9*(b^3 - b*d^2)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^4 - 10*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
947,1,142,0,0.429391," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""fricas"")","\frac{b \cosh\left(b x + a\right)^{2} \cosh\left(d x + c\right) - d \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right) + b \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(b \cosh\left(b x + a\right)^{2} - d \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2}\right)} \sinh\left(d x + c\right)}{{\left(4 \, b^{2} - d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(4 \, b^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"(b*cosh(b*x + a)^2*cosh(d*x + c) - d*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a) + b*cosh(d*x + c)*sinh(b*x + a)^2 + (b*cosh(b*x + a)^2 - d*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)*sinh(d*x + c))/((4*b^2 - d^2)*cosh(b*x + a)^2 - (4*b^2 - d^2)*sinh(b*x + a)^2)","B",0
948,1,97,0,0.479285," ","integrate(exp(d*x+c)*cosh(b*x+a),x, algorithm=""fricas"")","-\frac{d \cosh\left(b x + a\right) \cosh\left(d x + c\right) - b \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left(d \cosh\left(b x + a\right) - b \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{{\left(b^{2} - d^{2}\right)} \cosh\left(b x + a\right)^{2} - {\left(b^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2}}"," ",0,"-(d*cosh(b*x + a)*cosh(d*x + c) - b*cosh(d*x + c)*sinh(b*x + a) + (d*cosh(b*x + a) - b*sinh(b*x + a))*sinh(d*x + c))/((b^2 - d^2)*cosh(b*x + a)^2 - (b^2 - d^2)*sinh(b*x + a)^2)","A",0
949,0,0,0,0.432644," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)*e^(d*x + c), x)","F",0
950,0,0,0,0.437931," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^2*e^(d*x + c), x)","F",0
951,0,0,0,0.464787," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)*csch(b*x + a)^3*e^(d*x + c), x)","F",0
952,1,919,0,0.449324," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{25 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} - {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{5} + {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5} - 10 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} + {\left(50 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 9 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(450 \, b^{4} d - 68 \, b^{2} d^{3} + 2 \, d^{5} - 5 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left(5 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{5} - 3 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 2 \, {\left(225 \, b^{5} - 34 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) + {\left(5 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{5} + 25 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \sinh\left(b x + a\right)^{5} - 3 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{3} + {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5} - 10 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(50 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{3} - 9 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(225 \, b^{5} - 34 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right) + {\left(450 \, b^{4} d - 68 \, b^{2} d^{3} + 2 \, d^{5} - 5 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{16 \, {\left({\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{4} \sinh\left(b x + a\right)^{2} + 3 \, {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \sinh\left(b x + a\right)^{6}\right)}}"," ",0,"1/16*(25*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^4 - (9*b^4*d - 10*b^2*d^3 + d^5)*cosh(d*x + c)*sinh(b*x + a)^5 + (25*b^4*d - 26*b^2*d^3 + d^5 - 10*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a)^3 + (50*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^3 - 9*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a))*cosh(d*x + c)*sinh(b*x + a)^2 + (450*b^4*d - 68*b^2*d^3 + 2*d^5 - 5*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^4 + 3*(25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a) + (5*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^5 - 3*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a)^3 - 2*(225*b^5 - 34*b^3*d^2 + b*d^4)*cosh(b*x + a))*cosh(d*x + c) + (5*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^5 + 25*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)*sinh(b*x + a)^4 - (9*b^4*d - 10*b^2*d^3 + d^5)*sinh(b*x + a)^5 - 3*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a)^3 + (25*b^4*d - 26*b^2*d^3 + d^5 - 10*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^2)*sinh(b*x + a)^3 + (50*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^3 - 9*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a))*sinh(b*x + a)^2 - 2*(225*b^5 - 34*b^3*d^2 + b*d^4)*cosh(b*x + a) + (450*b^4*d - 68*b^2*d^3 + 2*d^5 - 5*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^4 + 3*(25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^6 - 3*(225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^4*sinh(b*x + a)^2 + 3*(225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*sinh(b*x + a)^6)","B",0
953,1,303,0,0.549081," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{16 \, b d \cosh\left(b x + a\right)^{3} \cosh\left(d x + c\right) \sinh\left(b x + a\right) - 6 \, d^{2} \cosh\left(b x + a\right)^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + 16 \, b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - d^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} - {\left(d^{2} \cosh\left(b x + a\right)^{4} + 16 \, b^{2} - d^{2}\right)} \cosh\left(d x + c\right) - {\left(d^{2} \cosh\left(b x + a\right)^{4} - 16 \, b d \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right) + 6 \, d^{2} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} - 16 \, b d \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d^{2} \sinh\left(b x + a\right)^{4} + 16 \, b^{2} - d^{2}\right)} \sinh\left(d x + c\right)}{8 \, {\left({\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(16 \, b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/8*(16*b*d*cosh(b*x + a)^3*cosh(d*x + c)*sinh(b*x + a) - 6*d^2*cosh(b*x + a)^2*cosh(d*x + c)*sinh(b*x + a)^2 + 16*b*d*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^3 - d^2*cosh(d*x + c)*sinh(b*x + a)^4 - (d^2*cosh(b*x + a)^4 + 16*b^2 - d^2)*cosh(d*x + c) - (d^2*cosh(b*x + a)^4 - 16*b*d*cosh(b*x + a)^3*sinh(b*x + a) + 6*d^2*cosh(b*x + a)^2*sinh(b*x + a)^2 - 16*b*d*cosh(b*x + a)*sinh(b*x + a)^3 + d^2*sinh(b*x + a)^4 + 16*b^2 - d^2)*sinh(d*x + c))/((16*b^2*d - d^3)*cosh(b*x + a)^4 - 2*(16*b^2*d - d^3)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (16*b^2*d - d^3)*sinh(b*x + a)^4)","B",0
954,1,381,0,0.445414," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""fricas"")","\frac{9 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} - {\left(b^{2} d - d^{3}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - {\left(9 \, b^{2} d - d^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left(3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(9 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) + {\left(3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{3} + 9 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - {\left(b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)^{3} + {\left(9 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right) - {\left(9 \, b^{2} d - d^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"1/4*(9*(b^3 - b*d^2)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^2 - (b^2*d - d^3)*cosh(d*x + c)*sinh(b*x + a)^3 - (9*b^2*d - d^3 + 3*(b^2*d - d^3)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a) + (3*(b^3 - b*d^2)*cosh(b*x + a)^3 + (9*b^3 - b*d^2)*cosh(b*x + a))*cosh(d*x + c) + (3*(b^3 - b*d^2)*cosh(b*x + a)^3 + 9*(b^3 - b*d^2)*cosh(b*x + a)*sinh(b*x + a)^2 - (b^2*d - d^3)*sinh(b*x + a)^3 + (9*b^3 - b*d^2)*cosh(b*x + a) - (9*b^2*d - d^3 + 3*(b^2*d - d^3)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^4 - 10*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
955,1,176,0,0.447541," ","integrate(exp(d*x+c)*cosh(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b d \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right) - d^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} - {\left(d^{2} \cosh\left(b x + a\right)^{2} - 4 \, b^{2} + d^{2}\right)} \cosh\left(d x + c\right) - {\left(d^{2} \cosh\left(b x + a\right)^{2} - 4 \, b d \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d^{2} \sinh\left(b x + a\right)^{2} - 4 \, b^{2} + d^{2}\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{2} - {\left(4 \, b^{2} d - d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/2*(4*b*d*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a) - d^2*cosh(d*x + c)*sinh(b*x + a)^2 - (d^2*cosh(b*x + a)^2 - 4*b^2 + d^2)*cosh(d*x + c) - (d^2*cosh(b*x + a)^2 - 4*b*d*cosh(b*x + a)*sinh(b*x + a) + d^2*sinh(b*x + a)^2 - 4*b^2 + d^2)*sinh(d*x + c))/((4*b^2*d - d^3)*cosh(b*x + a)^2 - (4*b^2*d - d^3)*sinh(b*x + a)^2)","A",0
956,0,0,0,0.428585," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)*e^(d*x + c), x)","F",0
957,0,0,0,0.504521," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^2*e^(d*x + c), x)","F",0
958,0,0,0,0.520876," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^2*csch(b*x + a)^3*e^(d*x + c), x)","F",0
959,1,676,0,0.475805," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{10 \, {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - 45 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} + 3 \, {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{5} - 3 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{6} - 3 \, {\left(15 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} - 36 \, b^{3} + b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + 3 \, {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{5} - {\left(36 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) - 3 \, {\left({\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{6} - {\left(36 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) - {\left(3 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{6} - 10 \, {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3} + 45 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - 3 \, {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + 3 \, {\left(4 \, b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)^{6} - 3 \, {\left(36 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(15 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} - 36 \, b^{3} + b d^{2}\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{5} - {\left(36 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{16 \, {\left({\left(144 \, b^{4} - 40 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(144 \, b^{4} - 40 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} \sinh\left(b x + a\right)^{2} + 3 \, {\left(144 \, b^{4} - 40 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(144 \, b^{4} - 40 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{6}\right)}}"," ",0,"-1/16*(10*(4*b^2*d - d^3)*cosh(b*x + a)^3*cosh(d*x + c)*sinh(b*x + a)^3 - 45*(4*b^3 - b*d^2)*cosh(b*x + a)^2*cosh(d*x + c)*sinh(b*x + a)^4 + 3*(4*b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^5 - 3*(4*b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)^6 - 3*(15*(4*b^3 - b*d^2)*cosh(b*x + a)^4 - 36*b^3 + b*d^2)*cosh(d*x + c)*sinh(b*x + a)^2 + 3*((4*b^2*d - d^3)*cosh(b*x + a)^5 - (36*b^2*d - d^3)*cosh(b*x + a))*cosh(d*x + c)*sinh(b*x + a) - 3*((4*b^3 - b*d^2)*cosh(b*x + a)^6 - (36*b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c) - (3*(4*b^3 - b*d^2)*cosh(b*x + a)^6 - 10*(4*b^2*d - d^3)*cosh(b*x + a)^3*sinh(b*x + a)^3 + 45*(4*b^3 - b*d^2)*cosh(b*x + a)^2*sinh(b*x + a)^4 - 3*(4*b^2*d - d^3)*cosh(b*x + a)*sinh(b*x + a)^5 + 3*(4*b^3 - b*d^2)*sinh(b*x + a)^6 - 3*(36*b^3 - b*d^2)*cosh(b*x + a)^2 + 3*(15*(4*b^3 - b*d^2)*cosh(b*x + a)^4 - 36*b^3 + b*d^2)*sinh(b*x + a)^2 - 3*((4*b^2*d - d^3)*cosh(b*x + a)^5 - (36*b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a))*sinh(d*x + c))/((144*b^4 - 40*b^2*d^2 + d^4)*cosh(b*x + a)^6 - 3*(144*b^4 - 40*b^2*d^2 + d^4)*cosh(b*x + a)^4*sinh(b*x + a)^2 + 3*(144*b^4 - 40*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (144*b^4 - 40*b^2*d^2 + d^4)*sinh(b*x + a)^6)","B",0
960,1,917,0,0.532543," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} - 5 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{5} - {\left(75 \, b^{5} - 78 \, b^{3} d^{2} + 3 \, b d^{4} + 50 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} + {\left(10 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left(450 \, b^{5} - 68 \, b^{3} d^{2} + 2 \, b d^{4} - 25 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{4} - 9 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left({\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{5} + {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{3} - 2 \, {\left(225 \, b^{4} d - 34 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) + {\left({\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{5} + 5 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 5 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \sinh\left(b x + a\right)^{5} + {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{3} - {\left(75 \, b^{5} - 78 \, b^{3} d^{2} + 3 \, b d^{4} + 50 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{3} + {\left(10 \, {\left(9 \, b^{4} d - 10 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(25 \, b^{4} d - 26 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 2 \, {\left(225 \, b^{4} d - 34 \, b^{2} d^{3} + d^{5}\right)} \cosh\left(b x + a\right) + {\left(450 \, b^{5} - 68 \, b^{3} d^{2} + 2 \, b d^{4} - 25 \, {\left(9 \, b^{5} - 10 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{4} - 9 \, {\left(25 \, b^{5} - 26 \, b^{3} d^{2} + b d^{4}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{16 \, {\left({\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{6} - 3 \, {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{4} \sinh\left(b x + a\right)^{2} + 3 \, {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{4} - {\left(225 \, b^{6} - 259 \, b^{4} d^{2} + 35 \, b^{2} d^{4} - d^{6}\right)} \sinh\left(b x + a\right)^{6}\right)}}"," ",0,"-1/16*(5*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^4 - 5*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(d*x + c)*sinh(b*x + a)^5 - (75*b^5 - 78*b^3*d^2 + 3*b*d^4 + 50*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a)^3 + (10*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^3 + 3*(25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a))*cosh(d*x + c)*sinh(b*x + a)^2 + (450*b^5 - 68*b^3*d^2 + 2*b*d^4 - 25*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^4 - 9*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a) + ((9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^5 + (25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a)^3 - 2*(225*b^4*d - 34*b^2*d^3 + d^5)*cosh(b*x + a))*cosh(d*x + c) + ((9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^5 + 5*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)*sinh(b*x + a)^4 - 5*(9*b^5 - 10*b^3*d^2 + b*d^4)*sinh(b*x + a)^5 + (25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a)^3 - (75*b^5 - 78*b^3*d^2 + 3*b*d^4 + 50*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^2)*sinh(b*x + a)^3 + (10*(9*b^4*d - 10*b^2*d^3 + d^5)*cosh(b*x + a)^3 + 3*(25*b^4*d - 26*b^2*d^3 + d^5)*cosh(b*x + a))*sinh(b*x + a)^2 - 2*(225*b^4*d - 34*b^2*d^3 + d^5)*cosh(b*x + a) + (450*b^5 - 68*b^3*d^2 + 2*b*d^4 - 25*(9*b^5 - 10*b^3*d^2 + b*d^4)*cosh(b*x + a)^4 - 9*(25*b^5 - 26*b^3*d^2 + b*d^4)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^6 - 3*(225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^4*sinh(b*x + a)^2 + 3*(225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*cosh(b*x + a)^2*sinh(b*x + a)^4 - (225*b^6 - 259*b^4*d^2 + 35*b^2*d^4 - d^6)*sinh(b*x + a)^6)","B",0
961,1,501,0,0.443737," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{4} - {\left(16 \, b^{3} - b d^{2} + 6 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} + {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) - {\left({\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(16 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) - {\left({\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{4} - {\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(4 \, b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)^{4} + {\left(16 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(16 \, b^{3} - b d^{2} + 6 \, {\left(4 \, b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} - {\left({\left(4 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(16 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(64 \, b^{4} - 20 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"-1/2*((4*b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^3 - (4*b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)^4 - (16*b^3 - b*d^2 + 6*(4*b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a)^2 + ((4*b^2*d - d^3)*cosh(b*x + a)^3 + (16*b^2*d - d^3)*cosh(b*x + a))*cosh(d*x + c)*sinh(b*x + a) - ((4*b^3 - b*d^2)*cosh(b*x + a)^4 + (16*b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c) - ((4*b^3 - b*d^2)*cosh(b*x + a)^4 - (4*b^2*d - d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (4*b^3 - b*d^2)*sinh(b*x + a)^4 + (16*b^3 - b*d^2)*cosh(b*x + a)^2 + (16*b^3 - b*d^2 + 6*(4*b^3 - b*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 - ((4*b^2*d - d^3)*cosh(b*x + a)^3 + (16*b^2*d - d^3)*cosh(b*x + a))*sinh(b*x + a))*sinh(d*x + c))/((64*b^4 - 20*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(64*b^4 - 20*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (64*b^4 - 20*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
962,1,381,0,0.452880," ","integrate(exp(d*x+c)*cosh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right)^{3} - 3 \, {\left(9 \, b^{3} - b d^{2} + 3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \cosh\left(d x + c\right) \sinh\left(b x + a\right) + {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)\right)} \cosh\left(d x + c\right) + {\left({\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 3 \, {\left(b^{3} - b d^{2}\right)} \sinh\left(b x + a\right)^{3} + 3 \, {\left(9 \, b^{2} d - d^{3}\right)} \cosh\left(b x + a\right) - 3 \, {\left(9 \, b^{3} - b d^{2} + 3 \, {\left(b^{3} - b d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left({\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{4} - 2 \, {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2} + {\left(9 \, b^{4} - 10 \, b^{2} d^{2} + d^{4}\right)} \sinh\left(b x + a\right)^{4}\right)}}"," ",0,"-1/4*(3*(b^2*d - d^3)*cosh(b*x + a)*cosh(d*x + c)*sinh(b*x + a)^2 - 3*(b^3 - b*d^2)*cosh(d*x + c)*sinh(b*x + a)^3 - 3*(9*b^3 - b*d^2 + 3*(b^3 - b*d^2)*cosh(b*x + a)^2)*cosh(d*x + c)*sinh(b*x + a) + ((b^2*d - d^3)*cosh(b*x + a)^3 + 3*(9*b^2*d - d^3)*cosh(b*x + a))*cosh(d*x + c) + ((b^2*d - d^3)*cosh(b*x + a)^3 + 3*(b^2*d - d^3)*cosh(b*x + a)*sinh(b*x + a)^2 - 3*(b^3 - b*d^2)*sinh(b*x + a)^3 + 3*(9*b^2*d - d^3)*cosh(b*x + a) - 3*(9*b^3 - b*d^2 + 3*(b^3 - b*d^2)*cosh(b*x + a)^2)*sinh(b*x + a))*sinh(d*x + c))/((9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^4 - 2*(9*b^4 - 10*b^2*d^2 + d^4)*cosh(b*x + a)^2*sinh(b*x + a)^2 + (9*b^4 - 10*b^2*d^2 + d^4)*sinh(b*x + a)^4)","B",0
963,0,0,0,0.442607," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)*e^(d*x + c), x)","F",0
964,0,0,0,0.410417," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^2*e^(d*x + c), x)","F",0
965,0,0,0,0.488206," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(b*x + a)^3*csch(b*x + a)^3*e^(d*x + c), x)","F",0
966,-2,0,0,0.000000," ","integrate(exp(b*x+a)*sinh(d*x+c)^(3/2)-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sinh(d*x+c)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
967,1,26,0,0.498743," ","integrate(exp(n*cosh(b*x+a))*sinh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(n \cosh\left(b x + a\right)\right) + \sinh\left(n \cosh\left(b x + a\right)\right)}{b n}"," ",0,"(cosh(n*cosh(b*x + a)) + sinh(n*cosh(b*x + a)))/(b*n)","A",0
968,1,35,0,0.458531," ","integrate(exp(n*cosh(b*c*x+a*c))*sinh(c*(b*x+a)),x, algorithm=""fricas"")","\frac{\cosh\left(n \cosh\left(b c x + a c\right)\right) + \sinh\left(n \cosh\left(b c x + a c\right)\right)}{b c n}"," ",0,"(cosh(n*cosh(b*c*x + a*c)) + sinh(n*cosh(b*c*x + a*c)))/(b*c*n)","A",0
969,1,35,0,0.443784," ","integrate(exp(n*cosh(c*(b*x+a)))*sinh(b*c*x+a*c),x, algorithm=""fricas"")","\frac{\cosh\left(n \cosh\left(b c x + a c\right)\right) + \sinh\left(n \cosh\left(b c x + a c\right)\right)}{b c n}"," ",0,"(cosh(n*cosh(b*c*x + a*c)) + sinh(n*cosh(b*c*x + a*c)))/(b*c*n)","A",0
970,1,13,0,0.421928," ","integrate(exp(n*cosh(b*x+a))*tanh(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \cosh\left(b x + a\right)\right)}{b}"," ",0,"Ei(n*cosh(b*x + a))/b","A",0
971,1,19,0,0.509223," ","integrate(exp(n*cosh(b*c*x+a*c))*tanh(c*(b*x+a)),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \cosh\left(b c x + a c\right)\right)}{b c}"," ",0,"Ei(n*cosh(b*c*x + a*c))/(b*c)","A",0
972,1,19,0,0.431788," ","integrate(exp(n*cosh(c*(b*x+a)))*tanh(b*c*x+a*c),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \cosh\left(b c x + a c\right)\right)}{b c}"," ",0,"Ei(n*cosh(b*c*x + a*c))/(b*c)","A",0
973,1,26,0,0.432108," ","integrate(exp(n*sinh(b*x+a))*cosh(b*x+a),x, algorithm=""fricas"")","\frac{\cosh\left(n \sinh\left(b x + a\right)\right) + \sinh\left(n \sinh\left(b x + a\right)\right)}{b n}"," ",0,"(cosh(n*sinh(b*x + a)) + sinh(n*sinh(b*x + a)))/(b*n)","A",0
974,1,35,0,0.481261," ","integrate(exp(n*sinh(b*c*x+a*c))*cosh(c*(b*x+a)),x, algorithm=""fricas"")","\frac{\cosh\left(n \sinh\left(b c x + a c\right)\right) + \sinh\left(n \sinh\left(b c x + a c\right)\right)}{b c n}"," ",0,"(cosh(n*sinh(b*c*x + a*c)) + sinh(n*sinh(b*c*x + a*c)))/(b*c*n)","A",0
975,1,35,0,0.417133," ","integrate(exp(n*sinh(c*(b*x+a)))*cosh(b*c*x+a*c),x, algorithm=""fricas"")","\frac{\cosh\left(n \sinh\left(b c x + a c\right)\right) + \sinh\left(n \sinh\left(b c x + a c\right)\right)}{b c n}"," ",0,"(cosh(n*sinh(b*c*x + a*c)) + sinh(n*sinh(b*c*x + a*c)))/(b*c*n)","A",0
976,1,13,0,0.451250," ","integrate(exp(n*sinh(b*x+a))*coth(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \sinh\left(b x + a\right)\right)}{b}"," ",0,"Ei(n*sinh(b*x + a))/b","A",0
977,1,19,0,0.524829," ","integrate(exp(n*sinh(b*c*x+a*c))*coth(c*(b*x+a)),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \sinh\left(b c x + a c\right)\right)}{b c}"," ",0,"Ei(n*sinh(b*c*x + a*c))/(b*c)","A",0
978,1,19,0,0.505426," ","integrate(exp(n*sinh(c*(b*x+a)))*coth(b*c*x+a*c),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(n \sinh\left(b c x + a c\right)\right)}{b c}"," ",0,"Ei(n*sinh(b*c*x + a*c))/(b*c)","A",0
979,1,42,0,0.431597," ","integrate(sech(x)^2/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{b}"," ",0,"(log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - log(2*cosh(x)/(cosh(x) - sinh(x))))/b","B",0
980,1,19,0,0.442894," ","integrate(sech(x)^2/(1+tanh(x)^2),x, algorithm=""fricas"")","-\arctan\left(-\frac{\cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-arctan(-(cosh(x) + sinh(x))/(cosh(x) - sinh(x)))","B",0
981,1,21,0,0.425853," ","integrate(sech(x)^2/(9+tanh(x)^2),x, algorithm=""fricas"")","-\frac{1}{3} \, \arctan\left(-\frac{9 \, \cosh\left(x\right) + \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right)"," ",0,"-1/3*arctan(-1/3*(9*cosh(x) + sinh(x))/(cosh(x) - sinh(x)))","B",0
982,1,69,0,0.433732," ","integrate(sech(x)^2*(a+b*tanh(x))^n,x, algorithm=""fricas"")","\frac{{\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)} \cosh\left(n \log\left(\frac{a \cosh\left(x\right) + b \sinh\left(x\right)}{\cosh\left(x\right)}\right)\right) + {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)} \sinh\left(n \log\left(\frac{a \cosh\left(x\right) + b \sinh\left(x\right)}{\cosh\left(x\right)}\right)\right)}{{\left(b n + b\right)} \cosh\left(x\right)}"," ",0,"((a*cosh(x) + b*sinh(x))*cosh(n*log((a*cosh(x) + b*sinh(x))/cosh(x))) + (a*cosh(x) + b*sinh(x))*sinh(n*log((a*cosh(x) + b*sinh(x))/cosh(x))))/((b*n + b)*cosh(x))","B",0
983,1,14,0,0.415073," ","integrate(sech(x)^2*(1+1/(1-tanh(x)^2)),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right)}"," ",0,"((x - 1)*cosh(x) + sinh(x))/cosh(x)","B",0
984,1,14,0,0.432417," ","integrate(sech(x)^2*(2-tanh(x)^2)/(1-tanh(x)^2),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right)}"," ",0,"((x - 1)*cosh(x) + sinh(x))/cosh(x)","B",0
985,1,23,0,0.426194," ","integrate(sech(x)^2/(2+2*tanh(x)+tanh(x)^2),x, algorithm=""fricas"")","-\arctan\left(-\frac{3 \, \cosh\left(x\right) + 2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-arctan(-(3*cosh(x) + 2*sinh(x))/(cosh(x) - sinh(x)))","B",0
986,1,77,0,0.450357," ","integrate(sech(x)^2/(tanh(x)^2+tanh(x)^3),x, algorithm=""fricas"")","\frac{2 \, x \cosh\left(x\right)^{2} + 4 \, x \cosh\left(x\right) \sinh\left(x\right) + 2 \, x \sinh\left(x\right)^{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{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, x - 2}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1}"," ",0,"(2*x*cosh(x)^2 + 4*x*cosh(x)*sinh(x) + 2*x*sinh(x)^2 - (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*log(2*sinh(x)/(cosh(x) - sinh(x))) - 2*x - 2)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)","B",0
987,1,53,0,0.419824," ","integrate(sech(x)^2/(-tanh(x)^2+tanh(x)^3),x, algorithm=""fricas"")","-\frac{{\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{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1}"," ",0,"-((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*log(2*sinh(x)/(cosh(x) - sinh(x))) - 2)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)","B",0
988,1,309,0,0.461915," ","integrate(sech(x)^2/(3-4*tanh(x)^3),x, algorithm=""fricas"")","-\frac{1}{18} \cdot 36^{\frac{1}{6}} \sqrt{3} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{1}{54} \cdot 36^{\frac{1}{6}} {\left({\left(36^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} + 3 \cdot 36^{\frac{1}{3}} \sqrt{3} - 9 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(36^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} + 3 \cdot 36^{\frac{1}{3}} \sqrt{3} - 9 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(36^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} + 3 \cdot 36^{\frac{1}{3}} \sqrt{3} - 9 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}}\right)} \sinh\left(x\right)^{2} - 36^{\frac{2}{3}} \sqrt{3} \left(-1\right)^{\frac{2}{3}} - 9 \, \sqrt{3} \left(-1\right)^{\frac{1}{3}}\right)}\right) - \frac{1}{216} \cdot 36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{2 \, {\left({\left(36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + 3\right)} \cosh\left(x\right)^{2} - 2 \, {\left(36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} + 3\right)} \sinh\left(x\right)^{2} - 36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} + 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} - 21\right)}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right) + \frac{1}{108} \cdot 36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(\frac{2 \, {\left({\left(36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} - 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} - 9\right)} \cosh\left(x\right) - {\left(36^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} - 3 \cdot 36^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} - 12\right)} \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-1/18*36^(1/6)*sqrt(3)*(-1)^(1/3)*arctan(1/54*36^(1/6)*((36^(2/3)*sqrt(3)*(-1)^(2/3) + 3*36^(1/3)*sqrt(3) - 9*sqrt(3)*(-1)^(1/3))*cosh(x)^2 + 2*(36^(2/3)*sqrt(3)*(-1)^(2/3) + 3*36^(1/3)*sqrt(3) - 9*sqrt(3)*(-1)^(1/3))*cosh(x)*sinh(x) + (36^(2/3)*sqrt(3)*(-1)^(2/3) + 3*36^(1/3)*sqrt(3) - 9*sqrt(3)*(-1)^(1/3))*sinh(x)^2 - 36^(2/3)*sqrt(3)*(-1)^(2/3) - 9*sqrt(3)*(-1)^(1/3))) - 1/216*36^(2/3)*(-1)^(1/3)*log(2*((36^(2/3)*(-1)^(1/3) + 3*36^(1/3)*(-1)^(2/3) + 3)*cosh(x)^2 - 2*(36^(2/3)*(-1)^(1/3) + 3*36^(1/3)*(-1)^(2/3))*cosh(x)*sinh(x) + (36^(2/3)*(-1)^(1/3) + 3*36^(1/3)*(-1)^(2/3) + 3)*sinh(x)^2 - 36^(2/3)*(-1)^(1/3) + 3*36^(1/3)*(-1)^(2/3) - 21)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + 1/108*36^(2/3)*(-1)^(1/3)*log(2*((36^(2/3)*(-1)^(1/3) - 3*36^(1/3)*(-1)^(2/3) - 9)*cosh(x) - (36^(2/3)*(-1)^(1/3) - 3*36^(1/3)*(-1)^(2/3) - 12)*sinh(x))/(cosh(x) - sinh(x)))","B",0
989,1,32,0,0.476915," ","integrate(sech(x)^2/(11-5*tanh(x)+5*tanh(x)^2),x, algorithm=""fricas"")","-\frac{2}{195} \, \sqrt{195} \arctan\left(-\frac{17 \, \sqrt{195} \cosh\left(x\right) + 5 \, \sqrt{195} \sinh\left(x\right)}{195 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right)"," ",0,"-2/195*sqrt(195)*arctan(-1/195*(17*sqrt(195)*cosh(x) + 5*sqrt(195)*sinh(x))/(cosh(x) - sinh(x)))","A",0
990,1,172,0,0.437425," ","integrate(sech(x)^2*(a+b*tanh(x))/(c+d*tanh(x)),x, algorithm=""fricas"")","-\frac{2 \, b d + {\left({\left(b c - a d\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c - a d\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c - a d\right)} \sinh\left(x\right)^{2} + b c - a d\right)} \log\left(\frac{2 \, {\left(c \cosh\left(x\right) + d \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(b c - a d\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c - a d\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c - a d\right)} \sinh\left(x\right)^{2} + b c - a d\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{d^{2} \cosh\left(x\right)^{2} + 2 \, d^{2} \cosh\left(x\right) \sinh\left(x\right) + d^{2} \sinh\left(x\right)^{2} + d^{2}}"," ",0,"-(2*b*d + ((b*c - a*d)*cosh(x)^2 + 2*(b*c - a*d)*cosh(x)*sinh(x) + (b*c - a*d)*sinh(x)^2 + b*c - a*d)*log(2*(c*cosh(x) + d*sinh(x))/(cosh(x) - sinh(x))) - ((b*c - a*d)*cosh(x)^2 + 2*(b*c - a*d)*cosh(x)*sinh(x) + (b*c - a*d)*sinh(x)^2 + b*c - a*d)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(d^2*cosh(x)^2 + 2*d^2*cosh(x)*sinh(x) + d^2*sinh(x)^2 + d^2)","B",0
991,1,688,0,0.468789," ","integrate(sech(x)^2*(a+b*tanh(x))^2/(c+d*tanh(x)),x, algorithm=""fricas"")","\frac{2 \, b^{2} c d - 4 \, a b d^{2} + 2 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \sinh\left(x\right)^{2} + {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sinh\left(x\right)^{4} + b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} + 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(c \cosh\left(x\right) + d \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sinh\left(x\right)^{4} + b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} + 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\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)}{d^{3} \cosh\left(x\right)^{4} + 4 \, d^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + d^{3} \sinh\left(x\right)^{4} + 2 \, d^{3} \cosh\left(x\right)^{2} + d^{3} + 2 \, {\left(3 \, d^{3} \cosh\left(x\right)^{2} + d^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(d^{3} \cosh\left(x\right)^{3} + d^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"(2*b^2*c*d - 4*a*b*d^2 + 2*(b^2*c*d - (2*a*b + b^2)*d^2)*cosh(x)^2 + 4*(b^2*c*d - (2*a*b + b^2)*d^2)*cosh(x)*sinh(x) + 2*(b^2*c*d - (2*a*b + b^2)*d^2)*sinh(x)^2 + ((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^4 + 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)*sinh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sinh(x)^4 + b^2*c^2 - 2*a*b*c*d + a^2*d^2 + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2 + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2 + 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2)*sinh(x)^2 + 4*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x))*sinh(x))*log(2*(c*cosh(x) + d*sinh(x))/(cosh(x) - sinh(x))) - ((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^4 + 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)*sinh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sinh(x)^4 + b^2*c^2 - 2*a*b*c*d + a^2*d^2 + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2 + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2 + 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2)*sinh(x)^2 + 4*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))))/(d^3*cosh(x)^4 + 4*d^3*cosh(x)*sinh(x)^3 + d^3*sinh(x)^4 + 2*d^3*cosh(x)^2 + d^3 + 2*(3*d^3*cosh(x)^2 + d^3)*sinh(x)^2 + 4*(d^3*cosh(x)^3 + d^3*cosh(x))*sinh(x))","B",0
992,1,1975,0,0.554796," ","integrate(sech(x)^2*(a+b*tanh(x))^3/(c+d*tanh(x)),x, algorithm=""fricas"")","-\frac{6 \, b^{3} c^{2} d - 18 \, a b^{2} c d^{2} + 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{4} + 24 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(9 \, a^{2} b + b^{3}\right)} d^{3} + 6 \, {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3} + 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \sinh\left(x\right)^{6} + b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(c \cosh\left(x\right) + d \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 3 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \sinh\left(x\right)^{6} + b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{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) + 12 \, {\left(2 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{3} + {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(d^{4} \cosh\left(x\right)^{6} + 6 \, d^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + d^{4} \sinh\left(x\right)^{6} + 3 \, d^{4} \cosh\left(x\right)^{4} + 3 \, d^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, d^{4} \cosh\left(x\right)^{2} + d^{4}\right)} \sinh\left(x\right)^{4} + d^{4} + 4 \, {\left(5 \, d^{4} \cosh\left(x\right)^{3} + 3 \, d^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, d^{4} \cosh\left(x\right)^{4} + 6 \, d^{4} \cosh\left(x\right)^{2} + d^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(d^{4} \cosh\left(x\right)^{5} + 2 \, d^{4} \cosh\left(x\right)^{3} + d^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(6*b^3*c^2*d - 18*a*b^2*c*d^2 + 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^4 + 24*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)*sinh(x)^3 + 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*sinh(x)^4 + 2*(9*a^2*b + b^3)*d^3 + 6*(2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3)*cosh(x)^2 + 6*(2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3 + 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^2)*sinh(x)^2 + 3*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^6 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)*sinh(x)^5 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sinh(x)^6 + b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^2 + 6*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^5 + 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x))*log(2*(c*cosh(x) + d*sinh(x))/(cosh(x) - sinh(x))) - 3*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^6 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)*sinh(x)^5 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sinh(x)^6 + b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^2 + 6*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^5 + 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 12*(2*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^3 + (2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3)*cosh(x))*sinh(x))/(d^4*cosh(x)^6 + 6*d^4*cosh(x)*sinh(x)^5 + d^4*sinh(x)^6 + 3*d^4*cosh(x)^4 + 3*d^4*cosh(x)^2 + 3*(5*d^4*cosh(x)^2 + d^4)*sinh(x)^4 + d^4 + 4*(5*d^4*cosh(x)^3 + 3*d^4*cosh(x))*sinh(x)^3 + 3*(5*d^4*cosh(x)^4 + 6*d^4*cosh(x)^2 + d^4)*sinh(x)^2 + 6*(d^4*cosh(x)^5 + 2*d^4*cosh(x)^3 + d^4*cosh(x))*sinh(x))","B",0
993,1,73,0,0.424011," ","integrate(sech(x)^2*tanh(x)^2/(2+tanh(x)^3)^2,x, algorithm=""fricas"")","-\frac{8 \, {\left(\cosh\left(x\right)^{2} + \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}{9 \, {\left(3 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 \, \sinh\left(x\right)^{4} + 2 \, {\left(9 \, \cosh\left(x\right)^{2} + 2\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 4 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 9\right)}}"," ",0,"-8/9*(cosh(x)^2 + cosh(x)*sinh(x) + sinh(x)^2)/(3*cosh(x)^4 + 12*cosh(x)*sinh(x)^3 + 3*sinh(x)^4 + 2*(9*cosh(x)^2 + 2)*sinh(x)^2 + 4*cosh(x)^2 + 4*(3*cosh(x)^3 + cosh(x))*sinh(x) + 9)","B",0
994,1,778,0,0.438425," ","integrate(sech(x)^2*tanh(x)^6*(1-tanh(x)^2)^3,x, algorithm=""fricas"")","-\frac{64 \, {\left(1502 \, \cosh\left(x\right)^{9} + 13518 \, \cosh\left(x\right) \sinh\left(x\right)^{8} + 1501 \, \sinh\left(x\right)^{9} + {\left(54036 \, \cosh\left(x\right)^{2} - 4511\right)} \sinh\left(x\right)^{7} - 4498 \, \cosh\left(x\right)^{7} + 14 \, {\left(9012 \, \cosh\left(x\right)^{3} - 2249 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 3 \, {\left(63042 \, \cosh\left(x\right)^{4} - 31577 \, \cosh\left(x\right)^{2} + 2990\right)} \sinh\left(x\right)^{5} + 9048 \, \cosh\left(x\right)^{5} + 2 \, {\left(94626 \, \cosh\left(x\right)^{5} - 78715 \, \cosh\left(x\right)^{3} + 22620 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(126084 \, \cosh\left(x\right)^{6} - 157885 \, \cosh\left(x\right)^{4} + 89700 \, \cosh\left(x\right)^{2} - 8294\right)} \sinh\left(x\right)^{3} - 8008 \, \cosh\left(x\right)^{3} + 6 \, {\left(9012 \, \cosh\left(x\right)^{7} - 15743 \, \cosh\left(x\right)^{5} + 15080 \, \cosh\left(x\right)^{3} - 4004 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(13509 \, \cosh\left(x\right)^{8} - 31577 \, \cosh\left(x\right)^{6} + 44850 \, \cosh\left(x\right)^{4} - 24882 \, \cosh\left(x\right)^{2} + 6292\right)} \sinh\left(x\right) + 4004 \, \cosh\left(x\right)\right)}}{3003 \, {\left(\cosh\left(x\right)^{17} + 17 \, \cosh\left(x\right) \sinh\left(x\right)^{16} + \sinh\left(x\right)^{17} + {\left(136 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{15} + 13 \, \cosh\left(x\right)^{15} + 5 \, {\left(136 \, \cosh\left(x\right)^{3} + 39 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{14} + {\left(2380 \, \cosh\left(x\right)^{4} + 1365 \, \cosh\left(x\right)^{2} + 78\right)} \sinh\left(x\right)^{13} + 78 \, \cosh\left(x\right)^{13} + 13 \, {\left(476 \, \cosh\left(x\right)^{5} + 455 \, \cosh\left(x\right)^{3} + 78 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{12} + 13 \, {\left(952 \, \cosh\left(x\right)^{6} + 1365 \, \cosh\left(x\right)^{4} + 468 \, \cosh\left(x\right)^{2} + 22\right)} \sinh\left(x\right)^{11} + 286 \, \cosh\left(x\right)^{11} + 143 \, {\left(136 \, \cosh\left(x\right)^{7} + 273 \, \cosh\left(x\right)^{5} + 156 \, \cosh\left(x\right)^{3} + 22 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{10} + {\left(24310 \, \cosh\left(x\right)^{8} + 65065 \, \cosh\left(x\right)^{6} + 55770 \, \cosh\left(x\right)^{4} + 15730 \, \cosh\left(x\right)^{2} + 714\right)} \sinh\left(x\right)^{9} + 716 \, \cosh\left(x\right)^{9} + {\left(24310 \, \cosh\left(x\right)^{9} + 83655 \, \cosh\left(x\right)^{7} + 100386 \, \cosh\left(x\right)^{5} + 47190 \, \cosh\left(x\right)^{3} + 6444 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + {\left(19448 \, \cosh\left(x\right)^{10} + 83655 \, \cosh\left(x\right)^{8} + 133848 \, \cosh\left(x\right)^{6} + 94380 \, \cosh\left(x\right)^{4} + 25704 \, \cosh\left(x\right)^{2} + 1274\right)} \sinh\left(x\right)^{7} + 1300 \, \cosh\left(x\right)^{7} + {\left(12376 \, \cosh\left(x\right)^{11} + 65065 \, \cosh\left(x\right)^{9} + 133848 \, \cosh\left(x\right)^{7} + 132132 \, \cosh\left(x\right)^{5} + 60144 \, \cosh\left(x\right)^{3} + 9100 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(6188 \, \cosh\left(x\right)^{12} + 39039 \, \cosh\left(x\right)^{10} + 100386 \, \cosh\left(x\right)^{8} + 132132 \, \cosh\left(x\right)^{6} + 89964 \, \cosh\left(x\right)^{4} + 26754 \, \cosh\left(x\right)^{2} + 1638\right)} \sinh\left(x\right)^{5} + 1794 \, \cosh\left(x\right)^{5} + {\left(2380 \, \cosh\left(x\right)^{13} + 17745 \, \cosh\left(x\right)^{11} + 55770 \, \cosh\left(x\right)^{9} + 94380 \, \cosh\left(x\right)^{7} + 90216 \, \cosh\left(x\right)^{5} + 45500 \, \cosh\left(x\right)^{3} + 8970 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(680 \, \cosh\left(x\right)^{14} + 5915 \, \cosh\left(x\right)^{12} + 22308 \, \cosh\left(x\right)^{10} + 47190 \, \cosh\left(x\right)^{8} + 59976 \, \cosh\left(x\right)^{6} + 44590 \, \cosh\left(x\right)^{4} + 16380 \, \cosh\left(x\right)^{2} + 1430\right)} \sinh\left(x\right)^{3} + 2002 \, \cosh\left(x\right)^{3} + {\left(136 \, \cosh\left(x\right)^{15} + 1365 \, \cosh\left(x\right)^{13} + 6084 \, \cosh\left(x\right)^{11} + 15730 \, \cosh\left(x\right)^{9} + 25776 \, \cosh\left(x\right)^{7} + 27300 \, \cosh\left(x\right)^{5} + 17940 \, \cosh\left(x\right)^{3} + 6006 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(17 \, \cosh\left(x\right)^{16} + 195 \, \cosh\left(x\right)^{14} + 1014 \, \cosh\left(x\right)^{12} + 3146 \, \cosh\left(x\right)^{10} + 6426 \, \cosh\left(x\right)^{8} + 8918 \, \cosh\left(x\right)^{6} + 8190 \, \cosh\left(x\right)^{4} + 4290 \, \cosh\left(x\right)^{2} + 572\right)} \sinh\left(x\right) + 2002 \, \cosh\left(x\right)\right)}}"," ",0,"-64/3003*(1502*cosh(x)^9 + 13518*cosh(x)*sinh(x)^8 + 1501*sinh(x)^9 + (54036*cosh(x)^2 - 4511)*sinh(x)^7 - 4498*cosh(x)^7 + 14*(9012*cosh(x)^3 - 2249*cosh(x))*sinh(x)^6 + 3*(63042*cosh(x)^4 - 31577*cosh(x)^2 + 2990)*sinh(x)^5 + 9048*cosh(x)^5 + 2*(94626*cosh(x)^5 - 78715*cosh(x)^3 + 22620*cosh(x))*sinh(x)^4 + (126084*cosh(x)^6 - 157885*cosh(x)^4 + 89700*cosh(x)^2 - 8294)*sinh(x)^3 - 8008*cosh(x)^3 + 6*(9012*cosh(x)^7 - 15743*cosh(x)^5 + 15080*cosh(x)^3 - 4004*cosh(x))*sinh(x)^2 + (13509*cosh(x)^8 - 31577*cosh(x)^6 + 44850*cosh(x)^4 - 24882*cosh(x)^2 + 6292)*sinh(x) + 4004*cosh(x))/(cosh(x)^17 + 17*cosh(x)*sinh(x)^16 + sinh(x)^17 + (136*cosh(x)^2 + 13)*sinh(x)^15 + 13*cosh(x)^15 + 5*(136*cosh(x)^3 + 39*cosh(x))*sinh(x)^14 + (2380*cosh(x)^4 + 1365*cosh(x)^2 + 78)*sinh(x)^13 + 78*cosh(x)^13 + 13*(476*cosh(x)^5 + 455*cosh(x)^3 + 78*cosh(x))*sinh(x)^12 + 13*(952*cosh(x)^6 + 1365*cosh(x)^4 + 468*cosh(x)^2 + 22)*sinh(x)^11 + 286*cosh(x)^11 + 143*(136*cosh(x)^7 + 273*cosh(x)^5 + 156*cosh(x)^3 + 22*cosh(x))*sinh(x)^10 + (24310*cosh(x)^8 + 65065*cosh(x)^6 + 55770*cosh(x)^4 + 15730*cosh(x)^2 + 714)*sinh(x)^9 + 716*cosh(x)^9 + (24310*cosh(x)^9 + 83655*cosh(x)^7 + 100386*cosh(x)^5 + 47190*cosh(x)^3 + 6444*cosh(x))*sinh(x)^8 + (19448*cosh(x)^10 + 83655*cosh(x)^8 + 133848*cosh(x)^6 + 94380*cosh(x)^4 + 25704*cosh(x)^2 + 1274)*sinh(x)^7 + 1300*cosh(x)^7 + (12376*cosh(x)^11 + 65065*cosh(x)^9 + 133848*cosh(x)^7 + 132132*cosh(x)^5 + 60144*cosh(x)^3 + 9100*cosh(x))*sinh(x)^6 + (6188*cosh(x)^12 + 39039*cosh(x)^10 + 100386*cosh(x)^8 + 132132*cosh(x)^6 + 89964*cosh(x)^4 + 26754*cosh(x)^2 + 1638)*sinh(x)^5 + 1794*cosh(x)^5 + (2380*cosh(x)^13 + 17745*cosh(x)^11 + 55770*cosh(x)^9 + 94380*cosh(x)^7 + 90216*cosh(x)^5 + 45500*cosh(x)^3 + 8970*cosh(x))*sinh(x)^4 + (680*cosh(x)^14 + 5915*cosh(x)^12 + 22308*cosh(x)^10 + 47190*cosh(x)^8 + 59976*cosh(x)^6 + 44590*cosh(x)^4 + 16380*cosh(x)^2 + 1430)*sinh(x)^3 + 2002*cosh(x)^3 + (136*cosh(x)^15 + 1365*cosh(x)^13 + 6084*cosh(x)^11 + 15730*cosh(x)^9 + 25776*cosh(x)^7 + 27300*cosh(x)^5 + 17940*cosh(x)^3 + 6006*cosh(x))*sinh(x)^2 + (17*cosh(x)^16 + 195*cosh(x)^14 + 1014*cosh(x)^12 + 3146*cosh(x)^10 + 6426*cosh(x)^8 + 8918*cosh(x)^6 + 8190*cosh(x)^4 + 4290*cosh(x)^2 + 572)*sinh(x) + 2002*cosh(x))","B",0
995,1,50,0,0.436446," ","integrate(sech(x)^2*(2+tanh(x)^2)/(1+tanh(x)^3),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) + 2 \, x - \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-2/3*sqrt(3)*arctan(-1/3*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) + 2*x - log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
996,1,14,0,0.470314," ","integrate((1+cosh(x)^2)*sech(x)^2,x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right)}"," ",0,"((x - 1)*cosh(x) + sinh(x))/cosh(x)","B",0
997,1,67,0,0.409049," ","integrate(sech(x)^2/(1+sech(x)^2-3*tanh(x)),x, algorithm=""fricas"")","\frac{1}{17} \, \sqrt{17} \log\left(\frac{3 \, {\left(\sqrt{17} - 5\right)} \cosh\left(x\right)^{2} - 2 \, {\left(3 \, \sqrt{17} - 11\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(\sqrt{17} - 5\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{17} + 6}{\cosh\left(x\right)^{2} - 6 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 3}\right)"," ",0,"1/17*sqrt(17)*log((3*(sqrt(17) - 5)*cosh(x)^2 - 2*(3*sqrt(17) - 11)*cosh(x)*sinh(x) + 3*(sqrt(17) - 5)*sinh(x)^2 - 2*sqrt(17) + 6)/(cosh(x)^2 - 6*cosh(x)*sinh(x) + sinh(x)^2 + 3))","B",0
998,1,112,0,0.422510," ","integrate(sech(x)^2/(4-sech(x)^2)^(1/2),x, algorithm=""fricas"")","-\log\left(-\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \sinh\left(x\right)^{2} + \sqrt{\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) + \log\left(-\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \sinh\left(x\right)^{2} + \sqrt{\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}}} - 2\right)"," ",0,"-log(-cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + sqrt((2*cosh(x)^2 + 2*sinh(x)^2 + 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))) + log(-cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + sqrt((2*cosh(x)^2 + 2*sinh(x)^2 + 1)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 2)","B",0
999,1,118,0,0.460473," ","integrate(sech(x)^2/(1-4*tanh(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{2 \, \sqrt{2} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{-\frac{3 \, \cosh\left(x\right)^{2} + 3 \, \sinh\left(x\right)^{2} - 5}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{3 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 \, \sinh\left(x\right)^{4} + 2 \, {\left(9 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{2} - 10 \, \cosh\left(x\right)^{2} + 4 \, {\left(3 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3}\right)"," ",0,"-1/2*arctan(2*sqrt(2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(-(3*cosh(x)^2 + 3*sinh(x)^2 - 5)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(3*cosh(x)^4 + 12*cosh(x)*sinh(x)^3 + 3*sinh(x)^4 + 2*(9*cosh(x)^2 - 5)*sinh(x)^2 - 10*cosh(x)^2 + 4*(3*cosh(x)^3 - 5*cosh(x))*sinh(x) + 3))","B",0
1000,1,1,0,0.468741," ","integrate(sech(x)^2/(-4+tanh(x)^2)^(1/2),x, algorithm=""fricas"")","0"," ",0,"0","A",0
1001,1,219,0,0.442764," ","integrate(sech(x)^2*(1+coth(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\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{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \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) - {\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{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \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) - 4 \, \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)}}"," ",0,"-1/2*((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 2*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)) - (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 2*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)) - 4*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
1002,1,334,0,0.544775," ","integrate(sech(x)^2*(1+tanh(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(\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)} \log\left(\frac{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 2 \, \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \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) - {\left(\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)} \log\left(\frac{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 2 \, \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \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) + 4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{4 \, {\left(\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)}}"," ",0,"1/4*((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)*log((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 2*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)) - (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)*log((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 2*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)) + 4*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)))/(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)","B",0
1003,1,340,0,0.424349," ","integrate(sech(x)^4*(-1+sech(x)^2)^2*tanh(x),x, algorithm=""fricas"")","-\frac{4 \, {\left(3 \, \cosh\left(x\right)^{6} + 18 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + 3 \, \sinh\left(x\right)^{6} + {\left(45 \, \cosh\left(x\right)^{2} - 4\right)} \sinh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{4} + 4 \, {\left(15 \, \cosh\left(x\right)^{3} - 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(45 \, \cosh\left(x\right)^{4} - 24 \, \cosh\left(x\right)^{2} + 13\right)} \sinh\left(x\right)^{2} + 13 \, \cosh\left(x\right)^{2} + 2 \, {\left(9 \, \cosh\left(x\right)^{5} - 8 \, \cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 4\right)}}{3 \, {\left(\cosh\left(x\right)^{10} + 10 \, \cosh\left(x\right) \sinh\left(x\right)^{9} + \sinh\left(x\right)^{10} + {\left(45 \, \cosh\left(x\right)^{2} + 8\right)} \sinh\left(x\right)^{8} + 8 \, \cosh\left(x\right)^{8} + 8 \, {\left(15 \, \cosh\left(x\right)^{3} + 8 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + {\left(210 \, \cosh\left(x\right)^{4} + 224 \, \cosh\left(x\right)^{2} + 29\right)} \sinh\left(x\right)^{6} + 29 \, \cosh\left(x\right)^{6} + 2 \, {\left(126 \, \cosh\left(x\right)^{5} + 224 \, \cosh\left(x\right)^{3} + 81 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(210 \, \cosh\left(x\right)^{6} + 560 \, \cosh\left(x\right)^{4} + 435 \, \cosh\left(x\right)^{2} + 64\right)} \sinh\left(x\right)^{4} + 64 \, \cosh\left(x\right)^{4} + 4 \, {\left(30 \, \cosh\left(x\right)^{7} + 112 \, \cosh\left(x\right)^{5} + 135 \, \cosh\left(x\right)^{3} + 48 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(45 \, \cosh\left(x\right)^{8} + 224 \, \cosh\left(x\right)^{6} + 435 \, \cosh\left(x\right)^{4} + 384 \, \cosh\left(x\right)^{2} + 98\right)} \sinh\left(x\right)^{2} + 98 \, \cosh\left(x\right)^{2} + 2 \, {\left(5 \, \cosh\left(x\right)^{9} + 32 \, \cosh\left(x\right)^{7} + 81 \, \cosh\left(x\right)^{5} + 96 \, \cosh\left(x\right)^{3} + 42 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 56\right)}}"," ",0,"-4/3*(3*cosh(x)^6 + 18*cosh(x)*sinh(x)^5 + 3*sinh(x)^6 + (45*cosh(x)^2 - 4)*sinh(x)^4 - 4*cosh(x)^4 + 4*(15*cosh(x)^3 - 4*cosh(x))*sinh(x)^3 + (45*cosh(x)^4 - 24*cosh(x)^2 + 13)*sinh(x)^2 + 13*cosh(x)^2 + 2*(9*cosh(x)^5 - 8*cosh(x)^3 + 7*cosh(x))*sinh(x) - 4)/(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + (45*cosh(x)^2 + 8)*sinh(x)^8 + 8*cosh(x)^8 + 8*(15*cosh(x)^3 + 8*cosh(x))*sinh(x)^7 + (210*cosh(x)^4 + 224*cosh(x)^2 + 29)*sinh(x)^6 + 29*cosh(x)^6 + 2*(126*cosh(x)^5 + 224*cosh(x)^3 + 81*cosh(x))*sinh(x)^5 + (210*cosh(x)^6 + 560*cosh(x)^4 + 435*cosh(x)^2 + 64)*sinh(x)^4 + 64*cosh(x)^4 + 4*(30*cosh(x)^7 + 112*cosh(x)^5 + 135*cosh(x)^3 + 48*cosh(x))*sinh(x)^3 + (45*cosh(x)^8 + 224*cosh(x)^6 + 435*cosh(x)^4 + 384*cosh(x)^2 + 98)*sinh(x)^2 + 98*cosh(x)^2 + 2*(5*cosh(x)^9 + 32*cosh(x)^7 + 81*cosh(x)^5 + 96*cosh(x)^3 + 42*cosh(x))*sinh(x) + 56)","B",0
1004,1,73,0,0.425580," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(n \sinh\left(b x + a\right) - 1\right)} \cosh\left(n \sinh\left(b x + a\right)\right) + {\left(n \sinh\left(b x + a\right) - 1\right)} \sinh\left(n \sinh\left(b x + a\right)\right)\right)}}{b n^{2} \cosh\left(b x + a\right)^{2} - b n^{2} \sinh\left(b x + a\right)^{2}}"," ",0,"2*((n*sinh(b*x + a) - 1)*cosh(n*sinh(b*x + a)) + (n*sinh(b*x + a) - 1)*sinh(n*sinh(b*x + a)))/(b*n^2*cosh(b*x + a)^2 - b*n^2*sinh(b*x + a)^2)","A",0
1005,1,73,0,0.467949," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(n \sinh\left(b x + a\right) - 1\right)} \cosh\left(n \sinh\left(b x + a\right)\right) + {\left(n \sinh\left(b x + a\right) - 1\right)} \sinh\left(n \sinh\left(b x + a\right)\right)\right)}}{b n^{2} \cosh\left(b x + a\right)^{2} - b n^{2} \sinh\left(b x + a\right)^{2}}"," ",0,"2*((n*sinh(b*x + a) - 1)*cosh(n*sinh(b*x + a)) + (n*sinh(b*x + a) - 1)*sinh(n*sinh(b*x + a)))/(b*n^2*cosh(b*x + a)^2 - b*n^2*sinh(b*x + a)^2)","A",0
1006,1,91,0,0.435221," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, {\left({\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \cosh\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) + {\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \sinh\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)\right)}}{b n^{2} \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - b n^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2}}"," ",0,"4*((n*sinh(1/2*b*x + 1/2*a) - 1)*cosh(n*sinh(1/2*b*x + 1/2*a)) + (n*sinh(1/2*b*x + 1/2*a) - 1)*sinh(n*sinh(1/2*b*x + 1/2*a)))/(b*n^2*cosh(1/2*b*x + 1/2*a)^2 - b*n^2*sinh(1/2*b*x + 1/2*a)^2)","A",0
1007,1,91,0,0.432415," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, {\left({\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \cosh\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) + {\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \sinh\left(n \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)\right)}}{b n^{2} \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - b n^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2}}"," ",0,"4*((n*sinh(1/2*b*x + 1/2*a) - 1)*cosh(n*sinh(1/2*b*x + 1/2*a)) + (n*sinh(1/2*b*x + 1/2*a) - 1)*sinh(n*sinh(1/2*b*x + 1/2*a)))/(b*n^2*cosh(1/2*b*x + 1/2*a)^2 - b*n^2*sinh(1/2*b*x + 1/2*a)^2)","A",0
1008,1,73,0,0.420134," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(n \cosh\left(b x + a\right) - 1\right)} \cosh\left(n \cosh\left(b x + a\right)\right) + {\left(n \cosh\left(b x + a\right) - 1\right)} \sinh\left(n \cosh\left(b x + a\right)\right)\right)}}{b n^{2} \cosh\left(b x + a\right)^{2} - b n^{2} \sinh\left(b x + a\right)^{2}}"," ",0,"2*((n*cosh(b*x + a) - 1)*cosh(n*cosh(b*x + a)) + (n*cosh(b*x + a) - 1)*sinh(n*cosh(b*x + a)))/(b*n^2*cosh(b*x + a)^2 - b*n^2*sinh(b*x + a)^2)","A",0
1009,1,73,0,0.416112," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(n \cosh\left(b x + a\right) - 1\right)} \cosh\left(n \cosh\left(b x + a\right)\right) + {\left(n \cosh\left(b x + a\right) - 1\right)} \sinh\left(n \cosh\left(b x + a\right)\right)\right)}}{b n^{2} \cosh\left(b x + a\right)^{2} - b n^{2} \sinh\left(b x + a\right)^{2}}"," ",0,"2*((n*cosh(b*x + a) - 1)*cosh(n*cosh(b*x + a)) + (n*cosh(b*x + a) - 1)*sinh(n*cosh(b*x + a)))/(b*n^2*cosh(b*x + a)^2 - b*n^2*sinh(b*x + a)^2)","A",0
1010,1,91,0,0.470099," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, {\left({\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \cosh\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) + {\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \sinh\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)\right)}}{b n^{2} \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - b n^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2}}"," ",0,"4*((n*cosh(1/2*b*x + 1/2*a) - 1)*cosh(n*cosh(1/2*b*x + 1/2*a)) + (n*cosh(1/2*b*x + 1/2*a) - 1)*sinh(n*cosh(1/2*b*x + 1/2*a)))/(b*n^2*cosh(1/2*b*x + 1/2*a)^2 - b*n^2*sinh(1/2*b*x + 1/2*a)^2)","A",0
1011,1,91,0,0.457468," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""fricas"")","\frac{4 \, {\left({\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \cosh\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) + {\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 1\right)} \sinh\left(n \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)\right)}}{b n^{2} \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - b n^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2}}"," ",0,"4*((n*cosh(1/2*b*x + 1/2*a) - 1)*cosh(n*cosh(1/2*b*x + 1/2*a)) + (n*cosh(1/2*b*x + 1/2*a) - 1)*sinh(n*cosh(1/2*b*x + 1/2*a)))/(b*n^2*cosh(1/2*b*x + 1/2*a)^2 - b*n^2*sinh(1/2*b*x + 1/2*a)^2)","A",0
1012,1,12,0,0.421097," ","integrate(csch(x)*log(tanh(x))*sech(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{\sinh\left(x\right)}{\cosh\left(x\right)}\right)^{2}"," ",0,"1/2*log(sinh(x)/cosh(x))^2","A",0
1013,1,12,0,0.419766," ","integrate(csch(2*x)*log(tanh(x)),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(\frac{\sinh\left(x\right)}{\cosh\left(x\right)}\right)^{2}"," ",0,"1/4*log(sinh(x)/cosh(x))^2","A",0
1014,0,0,0,0.406921," ","integrate(cosh(b*x+a)*F(c,d,sinh(b*x+a),r,s),x, algorithm=""fricas"")","{\rm integral}\left(F\left(c, d, \sinh\left(b x + a\right), r, s\right) \cosh\left(b x + a\right), x\right)"," ",0,"integral(F(c, d, sinh(b*x + a), r, s)*cosh(b*x + a), x)","F",0
1015,0,0,0,0.422429," ","integrate(F(c,d,cosh(b*x+a),r,s)*sinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(F\left(c, d, \cosh\left(b x + a\right), r, s\right) \sinh\left(b x + a\right), x\right)"," ",0,"integral(F(c, d, cosh(b*x + a), r, s)*sinh(b*x + a), x)","F",0
1016,0,0,0,0.409583," ","integrate(F(c,d,tanh(b*x+a),r,s)*sech(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(F\left(c, d, \tanh\left(b x + a\right), r, s\right) \operatorname{sech}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(F(c, d, tanh(b*x + a), r, s)*sech(b*x + a)^2, x)","F",0
1017,0,0,0,0.411031," ","integrate(csch(b*x+a)^2*F(c,d,coth(b*x+a),r,s),x, algorithm=""fricas"")","{\rm integral}\left(F\left(c, d, \coth\left(b x + a\right), r, s\right) \operatorname{csch}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(F(c, d, coth(b*x + a), r, s)*csch(b*x + a)^2, x)","F",0
1018,1,87,0,0.406165," ","integrate(sech(x)*(5-11*sech(x)^2)*tanh(x),x, algorithm=""fricas"")","-\frac{2 \, {\left(15 \, \cosh\left(x\right)^{3} + 45 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 15 \, \sinh\left(x\right)^{3} + {\left(45 \, \cosh\left(x\right)^{2} - 29\right)} \sinh\left(x\right) + \cosh\left(x\right)\right)}}{3 \, {\left(\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} + 2\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}"," ",0,"-2/3*(15*cosh(x)^3 + 45*cosh(x)*sinh(x)^2 + 15*sinh(x)^3 + (45*cosh(x)^2 - 29)*sinh(x) + cosh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 2)*sinh(x)^2 + 4*cosh(x)^2 + 4*(cosh(x)^3 + cosh(x))*sinh(x) + 3)","B",0
1019,1,43,0,0.472138," ","integrate(csch(x)^2/(a+b*coth(x)),x, algorithm=""fricas"")","-\frac{\log\left(\frac{2 \, {\left(b \cosh\left(x\right) + a \sinh\left(x\right)\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)}{b}"," ",0,"-(log(2*(b*cosh(x) + a*sinh(x))/(cosh(x) - sinh(x))) - log(2*sinh(x)/(cosh(x) - sinh(x))))/b","B",0
1020,1,70,0,0.474835," ","integrate((a+b*coth(x))^n*csch(x)^2,x, algorithm=""fricas"")","-\frac{{\left(b \cosh\left(x\right) + a \sinh\left(x\right)\right)} \cosh\left(n \log\left(\frac{b \cosh\left(x\right) + a \sinh\left(x\right)}{\sinh\left(x\right)}\right)\right) + {\left(b \cosh\left(x\right) + a \sinh\left(x\right)\right)} \sinh\left(n \log\left(\frac{b \cosh\left(x\right) + a \sinh\left(x\right)}{\sinh\left(x\right)}\right)\right)}{{\left(b n + b\right)} \sinh\left(x\right)}"," ",0,"-((b*cosh(x) + a*sinh(x))*cosh(n*log((b*cosh(x) + a*sinh(x))/sinh(x))) + (b*cosh(x) + a*sinh(x))*sinh(n*log((b*cosh(x) + a*sinh(x))/sinh(x))))/((b*n + b)*sinh(x))","B",0
1021,1,14,0,0.416354," ","integrate(csch(x)^2*(-1+sinh(x)^2),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}{\sinh\left(x\right)}"," ",0,"((x - 1)*sinh(x) + cosh(x))/sinh(x)","B",0
1022,1,14,0,0.453584," ","integrate((-1-1/(1-coth(x)^2))*csch(x)^2,x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}{\sinh\left(x\right)}"," ",0,"((x - 1)*sinh(x) + cosh(x))/sinh(x)","B",0
1023,1,174,0,0.476390," ","integrate((a+b*coth(x))*csch(x)^2/(c+d*coth(x)),x, algorithm=""fricas"")","-\frac{2 \, b d - {\left({\left(b c - a d\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c - a d\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c - a d\right)} \sinh\left(x\right)^{2} - b c + a d\right)} \log\left(\frac{2 \, {\left(d \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left({\left(b c - a d\right)} \cosh\left(x\right)^{2} + 2 \, {\left(b c - a d\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(b c - a d\right)} \sinh\left(x\right)^{2} - b c + a d\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{d^{2} \cosh\left(x\right)^{2} + 2 \, d^{2} \cosh\left(x\right) \sinh\left(x\right) + d^{2} \sinh\left(x\right)^{2} - d^{2}}"," ",0,"-(2*b*d - ((b*c - a*d)*cosh(x)^2 + 2*(b*c - a*d)*cosh(x)*sinh(x) + (b*c - a*d)*sinh(x)^2 - b*c + a*d)*log(2*(d*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) + ((b*c - a*d)*cosh(x)^2 + 2*(b*c - a*d)*cosh(x)*sinh(x) + (b*c - a*d)*sinh(x)^2 - b*c + a*d)*log(2*sinh(x)/(cosh(x) - sinh(x))))/(d^2*cosh(x)^2 + 2*d^2*cosh(x)*sinh(x) + d^2*sinh(x)^2 - d^2)","B",0
1024,1,694,0,0.490467," ","integrate((a+b*coth(x))^2*csch(x)^2/(c+d*coth(x)),x, algorithm=""fricas"")","-\frac{2 \, b^{2} c d - 4 \, a b d^{2} - 2 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - 2 \, {\left(b^{2} c d - {\left(2 \, a b + b^{2}\right)} d^{2}\right)} \sinh\left(x\right)^{2} + {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sinh\left(x\right)^{4} + b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} - 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(d \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sinh\left(x\right)^{4} + b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} - 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \cosh\left(x\right)^{3} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{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)}{d^{3} \cosh\left(x\right)^{4} + 4 \, d^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + d^{3} \sinh\left(x\right)^{4} - 2 \, d^{3} \cosh\left(x\right)^{2} + d^{3} + 2 \, {\left(3 \, d^{3} \cosh\left(x\right)^{2} - d^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(d^{3} \cosh\left(x\right)^{3} - d^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-(2*b^2*c*d - 4*a*b*d^2 - 2*(b^2*c*d - (2*a*b + b^2)*d^2)*cosh(x)^2 - 4*(b^2*c*d - (2*a*b + b^2)*d^2)*cosh(x)*sinh(x) - 2*(b^2*c*d - (2*a*b + b^2)*d^2)*sinh(x)^2 + ((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^4 + 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)*sinh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sinh(x)^4 + b^2*c^2 - 2*a*b*c*d + a^2*d^2 - 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2 - 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2 - 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2)*sinh(x)^2 + 4*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^3 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x))*sinh(x))*log(2*(d*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) - ((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^4 + 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)*sinh(x)^3 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sinh(x)^4 + b^2*c^2 - 2*a*b*c*d + a^2*d^2 - 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2 - 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2 - 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^2)*sinh(x)^2 + 4*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x)^3 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))))/(d^3*cosh(x)^4 + 4*d^3*cosh(x)*sinh(x)^3 + d^3*sinh(x)^4 - 2*d^3*cosh(x)^2 + d^3 + 2*(3*d^3*cosh(x)^2 - d^3)*sinh(x)^2 + 4*(d^3*cosh(x)^3 - d^3*cosh(x))*sinh(x))","B",0
1025,1,1980,0,0.499304," ","integrate((a+b*coth(x))^3*csch(x)^2/(c+d*coth(x)),x, algorithm=""fricas"")","-\frac{6 \, b^{3} c^{2} d - 18 \, a b^{2} c d^{2} + 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{4} + 24 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(9 \, a^{2} b + b^{3}\right)} d^{3} - 6 \, {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3} - 6 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \sinh\left(x\right)^{6} - b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} - 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(d \cosh\left(x\right) + c \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 3 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \sinh\left(x\right)^{6} - b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} - 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} + 5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \cosh\left(x\right)^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{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) + 12 \, {\left(2 \, {\left(b^{3} c^{2} d - {\left(3 \, a b^{2} + b^{3}\right)} c d^{2} + {\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d^{3}\right)} \cosh\left(x\right)^{3} - {\left(2 \, b^{3} c^{2} d - {\left(6 \, a b^{2} + b^{3}\right)} c d^{2} + 3 \, {\left(2 \, a^{2} b + a b^{2}\right)} d^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(d^{4} \cosh\left(x\right)^{6} + 6 \, d^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + d^{4} \sinh\left(x\right)^{6} - 3 \, d^{4} \cosh\left(x\right)^{4} + 3 \, d^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, d^{4} \cosh\left(x\right)^{2} - d^{4}\right)} \sinh\left(x\right)^{4} - d^{4} + 4 \, {\left(5 \, d^{4} \cosh\left(x\right)^{3} - 3 \, d^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, d^{4} \cosh\left(x\right)^{4} - 6 \, d^{4} \cosh\left(x\right)^{2} + d^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(d^{4} \cosh\left(x\right)^{5} - 2 \, d^{4} \cosh\left(x\right)^{3} + d^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(6*b^3*c^2*d - 18*a*b^2*c*d^2 + 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^4 + 24*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)*sinh(x)^3 + 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*sinh(x)^4 + 2*(9*a^2*b + b^3)*d^3 - 6*(2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3)*cosh(x)^2 - 6*(2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3 - 6*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^2)*sinh(x)^2 - 3*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^6 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)*sinh(x)^5 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sinh(x)^6 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 - 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 - 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^2 + 6*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^5 - 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x))*log(2*(d*cosh(x) + c*sinh(x))/(cosh(x) - sinh(x))) + 3*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^6 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)*sinh(x)^5 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sinh(x)^6 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 - 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x)^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^4 - 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^2)*sinh(x)^2 + 6*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^5 - 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x)^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 12*(2*(b^3*c^2*d - (3*a*b^2 + b^3)*c*d^2 + (3*a^2*b + 3*a*b^2 + b^3)*d^3)*cosh(x)^3 - (2*b^3*c^2*d - (6*a*b^2 + b^3)*c*d^2 + 3*(2*a^2*b + a*b^2)*d^3)*cosh(x))*sinh(x))/(d^4*cosh(x)^6 + 6*d^4*cosh(x)*sinh(x)^5 + d^4*sinh(x)^6 - 3*d^4*cosh(x)^4 + 3*d^4*cosh(x)^2 + 3*(5*d^4*cosh(x)^2 - d^4)*sinh(x)^4 - d^4 + 4*(5*d^4*cosh(x)^3 - 3*d^4*cosh(x))*sinh(x)^3 + 3*(5*d^4*cosh(x)^4 - 6*d^4*cosh(x)^2 + d^4)*sinh(x)^2 + 6*(d^4*cosh(x)^5 - 2*d^4*cosh(x)^3 + d^4*cosh(x))*sinh(x))","B",0
1026,1,386,0,0.434223," ","integrate(cosh(x)^3*(a+b*cosh(x)^2)^3*sinh(x),x, algorithm=""fricas"")","\frac{1}{5120} \, b^{3} \cosh\left(x\right)^{10} + \frac{1}{5120} \, b^{3} \sinh\left(x\right)^{10} + \frac{1}{1024} \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{8} + \frac{1}{1024} \, {\left(9 \, b^{3} \cosh\left(x\right)^{2} + 3 \, a b^{2} + 2 \, b^{3}\right)} \sinh\left(x\right)^{8} + \frac{1}{1024} \, {\left(16 \, a^{2} b + 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{6} + \frac{1}{1024} \, {\left(42 \, b^{3} \cosh\left(x\right)^{4} + 16 \, a^{2} b + 24 \, a b^{2} + 9 \, b^{3} + 28 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + \frac{1}{256} \, {\left(8 \, a^{3} + 24 \, a^{2} b + 21 \, a b^{2} + 6 \, b^{3}\right)} \cosh\left(x\right)^{4} + \frac{1}{1024} \, {\left(42 \, b^{3} \cosh\left(x\right)^{6} + 70 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 32 \, a^{3} + 96 \, a^{2} b + 84 \, a b^{2} + 24 \, b^{3} + 15 \, {\left(16 \, a^{2} b + 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + \frac{1}{512} \, {\left(64 \, a^{3} + 120 \, a^{2} b + 84 \, a b^{2} + 21 \, b^{3}\right)} \cosh\left(x\right)^{2} + \frac{1}{1024} \, {\left(9 \, b^{3} \cosh\left(x\right)^{8} + 28 \, {\left(3 \, a b^{2} + 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(16 \, a^{2} b + 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{4} + 128 \, a^{3} + 240 \, a^{2} b + 168 \, a b^{2} + 42 \, b^{3} + 24 \, {\left(8 \, a^{3} + 24 \, a^{2} b + 21 \, a b^{2} + 6 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2}"," ",0,"1/5120*b^3*cosh(x)^10 + 1/5120*b^3*sinh(x)^10 + 1/1024*(3*a*b^2 + 2*b^3)*cosh(x)^8 + 1/1024*(9*b^3*cosh(x)^2 + 3*a*b^2 + 2*b^3)*sinh(x)^8 + 1/1024*(16*a^2*b + 24*a*b^2 + 9*b^3)*cosh(x)^6 + 1/1024*(42*b^3*cosh(x)^4 + 16*a^2*b + 24*a*b^2 + 9*b^3 + 28*(3*a*b^2 + 2*b^3)*cosh(x)^2)*sinh(x)^6 + 1/256*(8*a^3 + 24*a^2*b + 21*a*b^2 + 6*b^3)*cosh(x)^4 + 1/1024*(42*b^3*cosh(x)^6 + 70*(3*a*b^2 + 2*b^3)*cosh(x)^4 + 32*a^3 + 96*a^2*b + 84*a*b^2 + 24*b^3 + 15*(16*a^2*b + 24*a*b^2 + 9*b^3)*cosh(x)^2)*sinh(x)^4 + 1/512*(64*a^3 + 120*a^2*b + 84*a*b^2 + 21*b^3)*cosh(x)^2 + 1/1024*(9*b^3*cosh(x)^8 + 28*(3*a*b^2 + 2*b^3)*cosh(x)^6 + 15*(16*a^2*b + 24*a*b^2 + 9*b^3)*cosh(x)^4 + 128*a^3 + 240*a^2*b + 168*a*b^2 + 42*b^3 + 24*(8*a^3 + 24*a^2*b + 21*a*b^2 + 6*b^3)*cosh(x)^2)*sinh(x)^2","B",0
1027,1,386,0,0.404778," ","integrate(cosh(x)*sinh(x)^3*(a+b*sinh(x)^2)^3,x, algorithm=""fricas"")","\frac{1}{5120} \, b^{3} \cosh\left(x\right)^{10} + \frac{1}{5120} \, b^{3} \sinh\left(x\right)^{10} + \frac{1}{1024} \, {\left(3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{8} + \frac{1}{1024} \, {\left(9 \, b^{3} \cosh\left(x\right)^{2} + 3 \, a b^{2} - 2 \, b^{3}\right)} \sinh\left(x\right)^{8} + \frac{1}{1024} \, {\left(16 \, a^{2} b - 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{6} + \frac{1}{1024} \, {\left(42 \, b^{3} \cosh\left(x\right)^{4} + 16 \, a^{2} b - 24 \, a b^{2} + 9 \, b^{3} + 28 \, {\left(3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + \frac{1}{256} \, {\left(8 \, a^{3} - 24 \, a^{2} b + 21 \, a b^{2} - 6 \, b^{3}\right)} \cosh\left(x\right)^{4} + \frac{1}{1024} \, {\left(42 \, b^{3} \cosh\left(x\right)^{6} + 70 \, {\left(3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 32 \, a^{3} - 96 \, a^{2} b + 84 \, a b^{2} - 24 \, b^{3} + 15 \, {\left(16 \, a^{2} b - 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} - \frac{1}{512} \, {\left(64 \, a^{3} - 120 \, a^{2} b + 84 \, a b^{2} - 21 \, b^{3}\right)} \cosh\left(x\right)^{2} + \frac{1}{1024} \, {\left(9 \, b^{3} \cosh\left(x\right)^{8} + 28 \, {\left(3 \, a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(16 \, a^{2} b - 24 \, a b^{2} + 9 \, b^{3}\right)} \cosh\left(x\right)^{4} - 128 \, a^{3} + 240 \, a^{2} b - 168 \, a b^{2} + 42 \, b^{3} + 24 \, {\left(8 \, a^{3} - 24 \, a^{2} b + 21 \, a b^{2} - 6 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2}"," ",0,"1/5120*b^3*cosh(x)^10 + 1/5120*b^3*sinh(x)^10 + 1/1024*(3*a*b^2 - 2*b^3)*cosh(x)^8 + 1/1024*(9*b^3*cosh(x)^2 + 3*a*b^2 - 2*b^3)*sinh(x)^8 + 1/1024*(16*a^2*b - 24*a*b^2 + 9*b^3)*cosh(x)^6 + 1/1024*(42*b^3*cosh(x)^4 + 16*a^2*b - 24*a*b^2 + 9*b^3 + 28*(3*a*b^2 - 2*b^3)*cosh(x)^2)*sinh(x)^6 + 1/256*(8*a^3 - 24*a^2*b + 21*a*b^2 - 6*b^3)*cosh(x)^4 + 1/1024*(42*b^3*cosh(x)^6 + 70*(3*a*b^2 - 2*b^3)*cosh(x)^4 + 32*a^3 - 96*a^2*b + 84*a*b^2 - 24*b^3 + 15*(16*a^2*b - 24*a*b^2 + 9*b^3)*cosh(x)^2)*sinh(x)^4 - 1/512*(64*a^3 - 120*a^2*b + 84*a*b^2 - 21*b^3)*cosh(x)^2 + 1/1024*(9*b^3*cosh(x)^8 + 28*(3*a*b^2 - 2*b^3)*cosh(x)^6 + 15*(16*a^2*b - 24*a*b^2 + 9*b^3)*cosh(x)^4 - 128*a^3 + 240*a^2*b - 168*a*b^2 + 42*b^3 + 24*(8*a^3 - 24*a^2*b + 21*a*b^2 - 6*b^3)*cosh(x)^2)*sinh(x)^2","B",0
1028,1,154,0,0.450994," ","integrate(cosh(x)*sinh(x)*(a+b*sinh(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(b \cosh\left(x\right)^{4} + 4 \, b \cosh\left(x\right) \sinh\left(x\right)^{3} + b \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b\right)} \sqrt{\frac{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a - b}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{24 \, {\left(b \cosh\left(x\right)^{3} + 3 \, b \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b \cosh\left(x\right) \sinh\left(x\right)^{2} + b \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*sqrt(2)*(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*b*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*(b*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + b)*sqrt((b*cosh(x)^2 + b*sinh(x)^2 + 2*a - b)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(b*cosh(x)^3 + 3*b*cosh(x)^2*sinh(x) + 3*b*cosh(x)*sinh(x)^2 + b*sinh(x)^3)","B",0
1029,1,53,0,0.458090," ","integrate(csch(x)*sech(x)*(1+log(coth(x))^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{\log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right)^{2} + 1} \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right) + \frac{1}{2} \, \log\left(\sqrt{\log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right)^{2} + 1} - \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right)\right)"," ",0,"-1/2*sqrt(log(cosh(x)/sinh(x))^2 + 1)*log(cosh(x)/sinh(x)) + 1/2*log(sqrt(log(cosh(x)/sinh(x))^2 + 1) - log(cosh(x)/sinh(x)))","B",0
1030,1,37,0,0.466444," ","integrate(coth(x^(1/2))*csch(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(\cosh\left(\sqrt{x}\right) + \sinh\left(\sqrt{x}\right)\right)}}{\cosh\left(\sqrt{x}\right)^{2} + 2 \, \cosh\left(\sqrt{x}\right) \sinh\left(\sqrt{x}\right) + \sinh\left(\sqrt{x}\right)^{2} - 1}"," ",0,"-4*(cosh(sqrt(x)) + sinh(sqrt(x)))/(cosh(sqrt(x))^2 + 2*cosh(sqrt(x))*sinh(sqrt(x)) + sinh(sqrt(x))^2 - 1)","B",0
1031,1,17,0,0.462652," ","integrate(cosh(x^(1/2))*sinh(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \cosh\left(\sqrt{x}\right)^{2} + \frac{1}{2} \, \sinh\left(\sqrt{x}\right)^{2}"," ",0,"1/2*cosh(sqrt(x))^2 + 1/2*sinh(sqrt(x))^2","B",0
1032,1,37,0,0.415465," ","integrate(sech(x^(1/2))*tanh(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(\cosh\left(\sqrt{x}\right) + \sinh\left(\sqrt{x}\right)\right)}}{\cosh\left(\sqrt{x}\right)^{2} + 2 \, \cosh\left(\sqrt{x}\right) \sinh\left(\sqrt{x}\right) + \sinh\left(\sqrt{x}\right)^{2} + 1}"," ",0,"-4*(cosh(sqrt(x)) + sinh(sqrt(x)))/(cosh(sqrt(x))^2 + 2*cosh(sqrt(x))*sinh(sqrt(x)) + sinh(sqrt(x))^2 + 1)","B",0
1033,1,251,0,0.476397," ","integrate(sinh(x)^2/(a+b*sinh(2*x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} b \log\left(\frac{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} + 2 \, a b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + a b\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + a b \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + a\right)} \sqrt{a^{2} + b^{2}}}{b \cosh\left(x\right)^{4} + 4 \, b \cosh\left(x\right) \sinh\left(x\right)^{3} + b \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{2} + b^{2}\right)} x + {\left(a^{2} + b^{2}\right)} \log\left(\frac{2 \, {\left(2 \, b \cosh\left(x\right) \sinh\left(x\right) + a\right)}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right)}{4 \, {\left(a^{2} b + b^{3}\right)}}"," ",0,"1/4*(sqrt(a^2 + b^2)*b*log((b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 + 2*a*b*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + a*b)*sinh(x)^2 + 2*a^2 + b^2 + 4*(b^2*cosh(x)^3 + a*b*cosh(x))*sinh(x) + 2*(b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + a)*sqrt(a^2 + b^2))/(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 + 2*a*cosh(x)^2 + 2*(3*b*cosh(x)^2 + a)*sinh(x)^2 + 4*(b*cosh(x)^3 + a*cosh(x))*sinh(x) - b)) - 2*(a^2 + b^2)*x + (a^2 + b^2)*log(2*(2*b*cosh(x)*sinh(x) + a)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)))/(a^2*b + b^3)","B",0
1034,1,251,0,0.487079," ","integrate(cosh(x)^2/(a+b*sinh(2*x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} b \log\left(\frac{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} + 2 \, a b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + a b\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + a b \cosh\left(x\right)\right)} \sinh\left(x\right) - 2 \, {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + a\right)} \sqrt{a^{2} + b^{2}}}{b \cosh\left(x\right)^{4} + 4 \, b \cosh\left(x\right) \sinh\left(x\right)^{3} + b \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - b}\right) - 2 \, {\left(a^{2} + b^{2}\right)} x + {\left(a^{2} + b^{2}\right)} \log\left(\frac{2 \, {\left(2 \, b \cosh\left(x\right) \sinh\left(x\right) + a\right)}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right)}{4 \, {\left(a^{2} b + b^{3}\right)}}"," ",0,"1/4*(sqrt(a^2 + b^2)*b*log((b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 + 2*a*b*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + a*b)*sinh(x)^2 + 2*a^2 + b^2 + 4*(b^2*cosh(x)^3 + a*b*cosh(x))*sinh(x) - 2*(b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + a)*sqrt(a^2 + b^2))/(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 + 2*a*cosh(x)^2 + 2*(3*b*cosh(x)^2 + a)*sinh(x)^2 + 4*(b*cosh(x)^3 + a*cosh(x))*sinh(x) - b)) - 2*(a^2 + b^2)*x + (a^2 + b^2)*log(2*(2*b*cosh(x)*sinh(x) + a)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)))/(a^2*b + b^3)","B",0
1035,1,303,0,0.446084," ","integrate(sinh(x)^2/(a+b*cosh(2*x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{a + b}{a - b}} \log\left(\frac{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} + 2 \, a b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + a b\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + a b \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, {\left({\left(a b - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a b - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a b - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - a b\right)} \sqrt{\frac{a + b}{a - b}}}{b \cosh\left(x\right)^{4} + 4 \, b \cosh\left(x\right) \sinh\left(x\right)^{3} + b \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + b}\right) + 2 \, x}{4 \, b}, -\frac{\sqrt{-\frac{a + b}{a - b}} \arctan\left(\frac{{\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + a\right)} \sqrt{-\frac{a + b}{a - b}}}{a + b}\right) - x}{2 \, b}\right]"," ",0,"[1/4*(sqrt((a + b)/(a - b))*log((b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 + 2*a*b*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + a*b)*sinh(x)^2 + 2*a^2 - b^2 + 4*(b^2*cosh(x)^3 + a*b*cosh(x))*sinh(x) + 2*((a*b - b^2)*cosh(x)^2 + 2*(a*b - b^2)*cosh(x)*sinh(x) + (a*b - b^2)*sinh(x)^2 + a^2 - a*b)*sqrt((a + b)/(a - b)))/(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 + 2*a*cosh(x)^2 + 2*(3*b*cosh(x)^2 + a)*sinh(x)^2 + 4*(b*cosh(x)^3 + a*cosh(x))*sinh(x) + b)) + 2*x)/b, -1/2*(sqrt(-(a + b)/(a - b))*arctan((b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + a)*sqrt(-(a + b)/(a - b))/(a + b)) - x)/b]","A",0
1036,1,297,0,0.566144," ","integrate(cosh(x)^2/(a+b*cosh(2*x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{a - b}{a + b}} \log\left(\frac{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} + 2 \, a b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + a b\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} - b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + a b \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, {\left({\left(a b + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a b + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a b + b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + a b\right)} \sqrt{\frac{a - b}{a + b}}}{b \cosh\left(x\right)^{4} + 4 \, b \cosh\left(x\right) \sinh\left(x\right)^{3} + b \sinh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + b}\right) + 2 \, x}{4 \, b}, \frac{\sqrt{-\frac{a - b}{a + b}} \arctan\left(-\frac{{\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} + a\right)} \sqrt{-\frac{a - b}{a + b}}}{a - b}\right) + x}{2 \, b}\right]"," ",0,"[1/4*(sqrt((a - b)/(a + b))*log((b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 + 2*a*b*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + a*b)*sinh(x)^2 + 2*a^2 - b^2 + 4*(b^2*cosh(x)^3 + a*b*cosh(x))*sinh(x) + 2*((a*b + b^2)*cosh(x)^2 + 2*(a*b + b^2)*cosh(x)*sinh(x) + (a*b + b^2)*sinh(x)^2 + a^2 + a*b)*sqrt((a - b)/(a + b)))/(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 + 2*a*cosh(x)^2 + 2*(3*b*cosh(x)^2 + a)*sinh(x)^2 + 4*(b*cosh(x)^3 + a*cosh(x))*sinh(x) + b)) + 2*x)/b, 1/2*(sqrt(-(a - b)/(a + b))*arctan(-(b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 + a)*sqrt(-(a - b)/(a + b))/(a - b)) + x)/b]","A",0
1037,1,335,0,0.438946," ","integrate(tanh(d*x+c)/(a*sinh(d*x+c)^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} \log\left(-\frac{a \cosh\left(d x + c\right)^{2} + 2 \, \sqrt{a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + a} {\left(\cosh\left(d x + c\right) e^{\left(d x + c\right)} + e^{\left(d x + c\right)} \sinh\left(d x + c\right)\right)} \sqrt{-a} e^{\left(-d x - c\right)} - {\left(a e^{\left(2 \, d x + 2 \, c\right)} - a\right)} \sinh\left(d x + c\right)^{2} - {\left(a \cosh\left(d x + c\right)^{2} - a\right)} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, {\left(a \cosh\left(d x + c\right) e^{\left(2 \, d x + 2 \, c\right)} - a \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - a}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} \sinh\left(d x + c\right)^{2} - \cosh\left(d x + c\right)^{2} + {\left(\cosh\left(d x + c\right)^{2} + 1\right)} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, {\left(\cosh\left(d x + c\right) e^{\left(2 \, d x + 2 \, c\right)} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 1}\right)}{a d}, \frac{2 \, \sqrt{a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + a} \arctan\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right)\right)}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d}\right]"," ",0,"[-sqrt(-a)*log(-(a*cosh(d*x + c)^2 + 2*sqrt(a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + a)*(cosh(d*x + c)*e^(d*x + c) + e^(d*x + c)*sinh(d*x + c))*sqrt(-a)*e^(-d*x - c) - (a*e^(2*d*x + 2*c) - a)*sinh(d*x + c)^2 - (a*cosh(d*x + c)^2 - a)*e^(2*d*x + 2*c) - 2*(a*cosh(d*x + c)*e^(2*d*x + 2*c) - a*cosh(d*x + c))*sinh(d*x + c) - a)/((e^(2*d*x + 2*c) - 1)*sinh(d*x + c)^2 - cosh(d*x + c)^2 + (cosh(d*x + c)^2 + 1)*e^(2*d*x + 2*c) + 2*(cosh(d*x + c)*e^(2*d*x + 2*c) - cosh(d*x + c))*sinh(d*x + c) - 1))/(a*d), 2*sqrt(a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + a)*arctan(cosh(d*x + c) + sinh(d*x + c))/(a*d*e^(2*d*x + 2*c) - a*d)]","B",0
1038,1,174,0,0.425857," ","integrate(coth(d*x+c)/(a*cosh(d*x+c)^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + a} \log\left(\frac{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1}{\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1}\right)}{a d e^{\left(2 \, d x + 2 \, c\right)} + a d}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{a e^{\left(4 \, d x + 4 \, c\right)} + 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + a} \sqrt{-a}}{a \cosh\left(d x + c\right) e^{\left(2 \, d x + 2 \, c\right)} + a \cosh\left(d x + c\right) + {\left(a e^{\left(2 \, d x + 2 \, c\right)} + a\right)} \sinh\left(d x + c\right)}\right)}{a d}\right]"," ",0,"[sqrt(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + a)*log((cosh(d*x + c) + sinh(d*x + c) - 1)/(cosh(d*x + c) + sinh(d*x + c) + 1))/(a*d*e^(2*d*x + 2*c) + a*d), 2*sqrt(-a)*arctan(sqrt(a*e^(4*d*x + 4*c) + 2*a*e^(2*d*x + 2*c) + a)*sqrt(-a)/(a*cosh(d*x + c)*e^(2*d*x + 2*c) + a*cosh(d*x + c) + (a*e^(2*d*x + 2*c) + a)*sinh(d*x + c)))/(a*d)]","B",0
1039,1,124,0,0.437741," ","integrate(x*cosh(2*x)*sech(x),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x - 1\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(x - 1\right)} \sinh\left(x\right)^{2} + {\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + {\left(i \, x \cosh\left(x\right) + i \, x \sinh\left(x\right)\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + {\left(-i \, x \cosh\left(x\right) - i \, x \sinh\left(x\right)\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - x - 1}{\cosh\left(x\right) + \sinh\left(x\right)}"," ",0,"((x - 1)*cosh(x)^2 + 2*(x - 1)*cosh(x)*sinh(x) + (x - 1)*sinh(x)^2 + (-I*cosh(x) - I*sinh(x))*dilog(I*cosh(x) + I*sinh(x)) + (I*cosh(x) + I*sinh(x))*dilog(-I*cosh(x) - I*sinh(x)) + (I*x*cosh(x) + I*x*sinh(x))*log(I*cosh(x) + I*sinh(x) + 1) + (-I*x*cosh(x) - I*x*sinh(x))*log(-I*cosh(x) - I*sinh(x) + 1) - x - 1)/(cosh(x) + sinh(x))","B",0
1040,1,91,0,0.418613," ","integrate(x*cosh(2*x)*sech(x)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 2 \, x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x^{2} - 2 \, x\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(x^{2} - 2 \, x\right)} \sinh\left(x\right)^{2} + x^{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{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}"," ",0,"((x^2 - 2*x)*cosh(x)^2 + 2*(x^2 - 2*x)*cosh(x)*sinh(x) + (x^2 - 2*x)*sinh(x)^2 + x^2 + (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
1041,1,400,0,0.440383," ","integrate(x*cosh(2*x)*sech(x)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(x + 1\right)} \cosh\left(x\right)^{3} + 6 \, {\left(x + 1\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, {\left(x + 1\right)} \sinh\left(x\right)^{3} - 2 \, {\left(x - 1\right)} \cosh\left(x\right) - {\left(3 i \, \cosh\left(x\right)^{4} + 12 i \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 i \, \sinh\left(x\right)^{4} + {\left(18 i \, \cosh\left(x\right)^{2} + 6 i\right)} \sinh\left(x\right)^{2} + 6 i \, \cosh\left(x\right)^{2} + {\left(12 i \, \cosh\left(x\right)^{3} + 12 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 3 i\right)} {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - {\left(-3 i \, \cosh\left(x\right)^{4} - 12 i \, \cosh\left(x\right) \sinh\left(x\right)^{3} - 3 i \, \sinh\left(x\right)^{4} + {\left(-18 i \, \cosh\left(x\right)^{2} - 6 i\right)} \sinh\left(x\right)^{2} - 6 i \, \cosh\left(x\right)^{2} + {\left(-12 i \, \cosh\left(x\right)^{3} - 12 i \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 3 i\right)} {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - {\left(-3 i \, x \cosh\left(x\right)^{4} - 12 i \, x \cosh\left(x\right) \sinh\left(x\right)^{3} - 3 i \, x \sinh\left(x\right)^{4} - 6 i \, x \cosh\left(x\right)^{2} + {\left(-18 i \, x \cosh\left(x\right)^{2} - 6 i \, x\right)} \sinh\left(x\right)^{2} + {\left(-12 i \, x \cosh\left(x\right)^{3} - 12 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) - 3 i \, x\right)} \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - {\left(3 i \, x \cosh\left(x\right)^{4} + 12 i \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + 3 i \, x \sinh\left(x\right)^{4} + 6 i \, x \cosh\left(x\right)^{2} + {\left(18 i \, x \cosh\left(x\right)^{2} + 6 i \, x\right)} \sinh\left(x\right)^{2} + {\left(12 i \, x \cosh\left(x\right)^{3} + 12 i \, x \cosh\left(x\right)\right)} \sinh\left(x\right) + 3 i \, x\right)} \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + 2 \, {\left(3 \, {\left(x + 1\right)} \cosh\left(x\right)^{2} - x + 1\right)} \sinh\left(x\right)}{2 \, {\left(\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)}}"," ",0,"-1/2*(2*(x + 1)*cosh(x)^3 + 6*(x + 1)*cosh(x)*sinh(x)^2 + 2*(x + 1)*sinh(x)^3 - 2*(x - 1)*cosh(x) - (3*I*cosh(x)^4 + 12*I*cosh(x)*sinh(x)^3 + 3*I*sinh(x)^4 + (18*I*cosh(x)^2 + 6*I)*sinh(x)^2 + 6*I*cosh(x)^2 + (12*I*cosh(x)^3 + 12*I*cosh(x))*sinh(x) + 3*I)*dilog(I*cosh(x) + I*sinh(x)) - (-3*I*cosh(x)^4 - 12*I*cosh(x)*sinh(x)^3 - 3*I*sinh(x)^4 + (-18*I*cosh(x)^2 - 6*I)*sinh(x)^2 - 6*I*cosh(x)^2 + (-12*I*cosh(x)^3 - 12*I*cosh(x))*sinh(x) - 3*I)*dilog(-I*cosh(x) - I*sinh(x)) - (-3*I*x*cosh(x)^4 - 12*I*x*cosh(x)*sinh(x)^3 - 3*I*x*sinh(x)^4 - 6*I*x*cosh(x)^2 + (-18*I*x*cosh(x)^2 - 6*I*x)*sinh(x)^2 + (-12*I*x*cosh(x)^3 - 12*I*x*cosh(x))*sinh(x) - 3*I*x)*log(I*cosh(x) + I*sinh(x) + 1) - (3*I*x*cosh(x)^4 + 12*I*x*cosh(x)*sinh(x)^3 + 3*I*x*sinh(x)^4 + 6*I*x*cosh(x)^2 + (18*I*x*cosh(x)^2 + 6*I*x)*sinh(x)^2 + (12*I*x*cosh(x)^3 + 12*I*x*cosh(x))*sinh(x) + 3*I*x)*log(-I*cosh(x) - I*sinh(x) + 1) + 2*(3*(x + 1)*cosh(x)^2 - x + 1)*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)","B",0
1042,-2,0,0,0.000000," ","integrate(csch(x)^(1/2)*(x*cosh(x)-4*sech(x)*tanh(x)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
1043,1,29,0,0.429364," ","integrate(sinh(x)*(cosh(x)+sinh(x)),x, algorithm=""fricas"")","-\frac{{\left(2 \, x - 1\right)} \cosh\left(x\right) - {\left(2 \, x + 1\right)} \sinh\left(x\right)}{4 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"-1/4*((2*x - 1)*cosh(x) - (2*x + 1)*sinh(x))/(cosh(x) - sinh(x))","A",0
1044,1,95,0,0.433541," ","integrate((1+sinh(x)^2)/(1+cosh(x)+sinh(x)),x, algorithm=""fricas"")","\frac{6 \, x \cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{3} + 6 \, {\left(x + \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{3} - 8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(6 \, x \cosh\left(x\right) + 3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) - 1}{8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*(6*x*cosh(x)^2 + 2*cosh(x)^3 + 6*(x + cosh(x))*sinh(x)^2 + 2*sinh(x)^3 - 8*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*log(cosh(x) + sinh(x) + 1) + 2*(6*x*cosh(x) + 3*cosh(x)^2 + 1)*sinh(x) + 2*cosh(x) - 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","A",0
1045,1,396,0,0.465855," ","integrate(x^5*cosh(b*x^3+a)^7*sinh(b*x^3+a),x, algorithm=""fricas"")","\frac{3 \, b x^{3} \cosh\left(b x^{3} + a\right)^{8} + 3 \, b x^{3} \sinh\left(b x^{3} + a\right)^{8} + 24 \, b x^{3} \cosh\left(b x^{3} + a\right)^{6} + 84 \, b x^{3} \cosh\left(b x^{3} + a\right)^{4} - 3 \, \cosh\left(b x^{3} + a\right) \sinh\left(b x^{3} + a\right)^{7} + 12 \, {\left(7 \, b x^{3} \cosh\left(b x^{3} + a\right)^{2} + 2 \, b x^{3}\right)} \sinh\left(b x^{3} + a\right)^{6} + 168 \, b x^{3} \cosh\left(b x^{3} + a\right)^{2} - 3 \, {\left(7 \, \cosh\left(b x^{3} + a\right)^{3} + 8 \, \cosh\left(b x^{3} + a\right)\right)} \sinh\left(b x^{3} + a\right)^{5} + 6 \, {\left(35 \, b x^{3} \cosh\left(b x^{3} + a\right)^{4} + 60 \, b x^{3} \cosh\left(b x^{3} + a\right)^{2} + 14 \, b x^{3}\right)} \sinh\left(b x^{3} + a\right)^{4} - {\left(21 \, \cosh\left(b x^{3} + a\right)^{5} + 80 \, \cosh\left(b x^{3} + a\right)^{3} + 84 \, \cosh\left(b x^{3} + a\right)\right)} \sinh\left(b x^{3} + a\right)^{3} + 12 \, {\left(7 \, b x^{3} \cosh\left(b x^{3} + a\right)^{6} + 30 \, b x^{3} \cosh\left(b x^{3} + a\right)^{4} + 42 \, b x^{3} \cosh\left(b x^{3} + a\right)^{2} + 14 \, b x^{3}\right)} \sinh\left(b x^{3} + a\right)^{2} - 3 \, {\left(\cosh\left(b x^{3} + a\right)^{7} + 8 \, \cosh\left(b x^{3} + a\right)^{5} + 28 \, \cosh\left(b x^{3} + a\right)^{3} + 56 \, \cosh\left(b x^{3} + a\right)\right)} \sinh\left(b x^{3} + a\right)}{9216 \, b^{2}}"," ",0,"1/9216*(3*b*x^3*cosh(b*x^3 + a)^8 + 3*b*x^3*sinh(b*x^3 + a)^8 + 24*b*x^3*cosh(b*x^3 + a)^6 + 84*b*x^3*cosh(b*x^3 + a)^4 - 3*cosh(b*x^3 + a)*sinh(b*x^3 + a)^7 + 12*(7*b*x^3*cosh(b*x^3 + a)^2 + 2*b*x^3)*sinh(b*x^3 + a)^6 + 168*b*x^3*cosh(b*x^3 + a)^2 - 3*(7*cosh(b*x^3 + a)^3 + 8*cosh(b*x^3 + a))*sinh(b*x^3 + a)^5 + 6*(35*b*x^3*cosh(b*x^3 + a)^4 + 60*b*x^3*cosh(b*x^3 + a)^2 + 14*b*x^3)*sinh(b*x^3 + a)^4 - (21*cosh(b*x^3 + a)^5 + 80*cosh(b*x^3 + a)^3 + 84*cosh(b*x^3 + a))*sinh(b*x^3 + a)^3 + 12*(7*b*x^3*cosh(b*x^3 + a)^6 + 30*b*x^3*cosh(b*x^3 + a)^4 + 42*b*x^3*cosh(b*x^3 + a)^2 + 14*b*x^3)*sinh(b*x^3 + a)^2 - 3*(cosh(b*x^3 + a)^7 + 8*cosh(b*x^3 + a)^5 + 28*cosh(b*x^3 + a)^3 + 56*cosh(b*x^3 + a))*sinh(b*x^3 + a))/b^2","B",0
1046,1,95,0,0.415506," ","integrate(cosh(x)^2/(1+exp(x)),x, algorithm=""fricas"")","\frac{6 \, x \cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{3} + 6 \, {\left(x + \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{3} - 8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(6 \, x \cosh\left(x\right) + 3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right) - 1}{8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*(6*x*cosh(x)^2 + 2*cosh(x)^3 + 6*(x + cosh(x))*sinh(x)^2 + 2*sinh(x)^3 - 8*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*log(cosh(x) + sinh(x) + 1) + 2*(6*x*cosh(x) + 3*cosh(x)^2 + 1)*sinh(x) + 2*cosh(x) - 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
1047,1,431,0,0.409347," ","integrate(sech(x)*(1+sech(x))^(1/2)*tanh(x)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(9 \, \cosh\left(x\right)^{6} + 54 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + 9 \, \sinh\left(x\right)^{6} + 27 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 27 \, \cosh\left(x\right)^{4} + 36 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 27 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 27 \, \cosh\left(x\right)^{2} + 54 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + \frac{9 \, \cosh\left(x\right)^{7} + 7 \, {\left(9 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right)^{6} + 9 \, \sinh\left(x\right)^{7} + 35 \, \cosh\left(x\right)^{6} + 7 \, {\left(27 \, \cosh\left(x\right)^{2} + 30 \, \cosh\left(x\right) + 7\right)} \sinh\left(x\right)^{5} + 49 \, \cosh\left(x\right)^{5} + 35 \, {\left(9 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 7 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{4} + 35 \, \cosh\left(x\right)^{4} + 35 \, {\left(9 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} + 14 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{3} + 35 \, \cosh\left(x\right)^{3} + 7 \, {\left(27 \, \cosh\left(x\right)^{5} + 75 \, \cosh\left(x\right)^{4} + 70 \, \cosh\left(x\right)^{3} + 30 \, \cosh\left(x\right)^{2} + 15 \, \cosh\left(x\right) + 7\right)} \sinh\left(x\right)^{2} + 49 \, \cosh\left(x\right)^{2} + 7 \, {\left(9 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{4} + 20 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} + 14 \, \cosh\left(x\right) + 5\right)} \sinh\left(x\right) + 35 \, \cosh\left(x\right) + 9}{\sqrt{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}} + 9\right)}}{35 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-2/35*(9*cosh(x)^6 + 54*cosh(x)*sinh(x)^5 + 9*sinh(x)^6 + 27*(5*cosh(x)^2 + 1)*sinh(x)^4 + 27*cosh(x)^4 + 36*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 27*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 27*cosh(x)^2 + 54*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + (9*cosh(x)^7 + 7*(9*cosh(x) + 5)*sinh(x)^6 + 9*sinh(x)^7 + 35*cosh(x)^6 + 7*(27*cosh(x)^2 + 30*cosh(x) + 7)*sinh(x)^5 + 49*cosh(x)^5 + 35*(9*cosh(x)^3 + 15*cosh(x)^2 + 7*cosh(x) + 1)*sinh(x)^4 + 35*cosh(x)^4 + 35*(9*cosh(x)^4 + 20*cosh(x)^3 + 14*cosh(x)^2 + 4*cosh(x) + 1)*sinh(x)^3 + 35*cosh(x)^3 + 7*(27*cosh(x)^5 + 75*cosh(x)^4 + 70*cosh(x)^3 + 30*cosh(x)^2 + 15*cosh(x) + 7)*sinh(x)^2 + 49*cosh(x)^2 + 7*(9*cosh(x)^6 + 30*cosh(x)^5 + 35*cosh(x)^4 + 20*cosh(x)^3 + 15*cosh(x)^2 + 14*cosh(x) + 5)*sinh(x) + 35*cosh(x) + 9)/sqrt(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1) + 9)/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
1048,1,271,0,0.411754," ","integrate(coth(x)^3*csch(x)*(1+csch(x))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(43 \, \cosh\left(x\right)^{6} + 2 \, {\left(129 \, \cosh\left(x\right) + 31\right)} \sinh\left(x\right)^{5} + 43 \, \sinh\left(x\right)^{6} + 62 \, \cosh\left(x\right)^{5} + {\left(645 \, \cosh\left(x\right)^{2} + 310 \, \cosh\left(x\right) - 117\right)} \sinh\left(x\right)^{4} - 117 \, \cosh\left(x\right)^{4} + 4 \, {\left(215 \, \cosh\left(x\right)^{3} + 155 \, \cosh\left(x\right)^{2} - 117 \, \cosh\left(x\right) - 1\right)} \sinh\left(x\right)^{3} - 4 \, \cosh\left(x\right)^{3} + {\left(645 \, \cosh\left(x\right)^{4} + 620 \, \cosh\left(x\right)^{3} - 702 \, \cosh\left(x\right)^{2} - 12 \, \cosh\left(x\right) + 117\right)} \sinh\left(x\right)^{2} + 117 \, \cosh\left(x\right)^{2} + 2 \, {\left(129 \, \cosh\left(x\right)^{5} + 155 \, \cosh\left(x\right)^{4} - 234 \, \cosh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{2} + 117 \, \cosh\left(x\right) + 31\right)} \sinh\left(x\right) + 62 \, \cosh\left(x\right) - 43\right)} \sqrt{\frac{\sinh\left(x\right) + 1}{\sinh\left(x\right)}}}{105 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{4} - 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} - 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} - 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) - 1\right)}}"," ",0,"-2/105*(43*cosh(x)^6 + 2*(129*cosh(x) + 31)*sinh(x)^5 + 43*sinh(x)^6 + 62*cosh(x)^5 + (645*cosh(x)^2 + 310*cosh(x) - 117)*sinh(x)^4 - 117*cosh(x)^4 + 4*(215*cosh(x)^3 + 155*cosh(x)^2 - 117*cosh(x) - 1)*sinh(x)^3 - 4*cosh(x)^3 + (645*cosh(x)^4 + 620*cosh(x)^3 - 702*cosh(x)^2 - 12*cosh(x) + 117)*sinh(x)^2 + 117*cosh(x)^2 + 2*(129*cosh(x)^5 + 155*cosh(x)^4 - 234*cosh(x)^3 - 6*cosh(x)^2 + 117*cosh(x) + 31)*sinh(x) + 62*cosh(x) - 43)*sqrt((sinh(x) + 1)/sinh(x))/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 - 1)*sinh(x)^4 - 3*cosh(x)^4 + 4*(5*cosh(x)^3 - 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 - 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 - 2*cosh(x)^3 + cosh(x))*sinh(x) - 1)","B",0
1049,1,13,0,0.412056," ","integrate(cosh(x)^x*(log(cosh(x))+x*tanh(x)),x, algorithm=""fricas"")","\cosh\left(x \log\left(\cosh\left(x\right)\right)\right) + \sinh\left(x \log\left(\cosh\left(x\right)\right)\right)"," ",0,"cosh(x*log(cosh(x))) + sinh(x*log(cosh(x)))","B",0
1050,1,70,0,0.412582," ","integrate(F^(b*x+a)*(cosh(d*x+c)+sinh(d*x+c))^n,x, algorithm=""fricas"")","\frac{{\left(\cosh\left(d n x + c n\right) + \sinh\left(d n x + c n\right)\right)} \cosh\left({\left(b x + a\right)} \log\left(F\right)\right) + {\left(\cosh\left(d n x + c n\right) + \sinh\left(d n x + c n\right)\right)} \sinh\left({\left(b x + a\right)} \log\left(F\right)\right)}{d n + b \log\left(F\right)}"," ",0,"((cosh(d*n*x + c*n) + sinh(d*n*x + c*n))*cosh((b*x + a)*log(F)) + (cosh(d*n*x + c*n) + sinh(d*n*x + c*n))*sinh((b*x + a)*log(F)))/(d*n + b*log(F))","B",0
1051,1,76,0,0.410685," ","integrate(F^(b*x+a)*(cosh(d*x+c)-sinh(d*x+c))^n,x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(d n x + c n\right) - \sinh\left(d n x + c n\right)\right)} \cosh\left({\left(b x + a\right)} \log\left(F\right)\right) + {\left(\cosh\left(d n x + c n\right) - \sinh\left(d n x + c n\right)\right)} \sinh\left({\left(b x + a\right)} \log\left(F\right)\right)}{d n - b \log\left(F\right)}"," ",0,"-((cosh(d*n*x + c*n) - sinh(d*n*x + c*n))*cosh((b*x + a)*log(F)) + (cosh(d*n*x + c*n) - sinh(d*n*x + c*n))*sinh((b*x + a)*log(F)))/(d*n - b*log(F))","B",0
1052,1,192,0,0.415177," ","integrate((cosh(b*x+a)^4-sinh(b*x+a)^4)/(cosh(b*x+a)^4+sinh(b*x+a)^4),x, algorithm=""fricas"")","-\frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(b x + a\right)^{3} + 3 \, \sqrt{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sqrt{2} \sinh\left(b x + a\right)^{3} + {\left(3 \, \sqrt{2} \cosh\left(b x + a\right)^{2} - 7 \, \sqrt{2}\right)} \sinh\left(b x + a\right) + 7 \, \sqrt{2} \cosh\left(b x + a\right)}{4 \, {\left(\cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - \sinh\left(b x + a\right)^{3}\right)}}\right) + \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(b x + a\right) + \sqrt{2} \sinh\left(b x + a\right)}{4 \, {\left(\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}}\right)}{2 \, b}"," ",0,"-1/2*(sqrt(2)*arctan(-1/4*(sqrt(2)*cosh(b*x + a)^3 + 3*sqrt(2)*cosh(b*x + a)*sinh(b*x + a)^2 + sqrt(2)*sinh(b*x + a)^3 + (3*sqrt(2)*cosh(b*x + a)^2 - 7*sqrt(2))*sinh(b*x + a) + 7*sqrt(2)*cosh(b*x + a))/(cosh(b*x + a)^3 - 3*cosh(b*x + a)^2*sinh(b*x + a) + 3*cosh(b*x + a)*sinh(b*x + a)^2 - sinh(b*x + a)^3)) + sqrt(2)*arctan(-1/4*(sqrt(2)*cosh(b*x + a) + sqrt(2)*sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
1053,1,127,0,0.447304," ","integrate((cosh(b*x+a)^3-sinh(b*x+a)^3)/(cosh(b*x+a)^3+sinh(b*x+a)^3),x, algorithm=""fricas"")","-\frac{8 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)}{3 \, {\left(\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}}\right) + 3}{18 \, {\left(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}\right)}}"," ",0,"-1/18*(8*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2)*arctan(-1/3*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a))) + 3)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
1054,1,38,0,0.399801," ","integrate((cosh(b*x+a)^2-sinh(b*x+a)^2)/(cosh(b*x+a)^2+sinh(b*x+a)^2),x, algorithm=""fricas"")","-\frac{\arctan\left(-\frac{\cosh\left(b x + a\right) + \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b}"," ",0,"-arctan(-(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a)))/b","B",0
1055,1,40,0,0.407978," ","integrate((cosh(b*x+a)-sinh(b*x+a))/(cosh(b*x+a)+sinh(b*x+a)),x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(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}\right)}}"," ",0,"-1/2/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","A",0
1056,1,40,0,0.407172," ","integrate((-csch(b*x+a)+sech(b*x+a))/(csch(b*x+a)+sech(b*x+a)),x, algorithm=""fricas"")","\frac{1}{2 \, {\left(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}\right)}}"," ",0,"1/2/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
1057,1,37,0,0.426687," ","integrate((-csch(b*x+a)^2+sech(b*x+a)^2)/(csch(b*x+a)^2+sech(b*x+a)^2),x, algorithm=""fricas"")","\frac{\arctan\left(-\frac{\cosh\left(b x + a\right) + \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b}"," ",0,"arctan(-(cosh(b*x + a) + sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a)))/b","B",0
1058,1,127,0,0.413296," ","integrate((-csch(b*x+a)^3+sech(b*x+a)^3)/(csch(b*x+a)^3+sech(b*x+a)^3),x, algorithm=""fricas"")","\frac{8 \, {\left(\sqrt{3} \cosh\left(b x + a\right)^{2} + 2 \, \sqrt{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)^{2}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(b x + a\right) + \sqrt{3} \sinh\left(b x + a\right)}{3 \, {\left(\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}}\right) + 3}{18 \, {\left(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}\right)}}"," ",0,"1/18*(8*(sqrt(3)*cosh(b*x + a)^2 + 2*sqrt(3)*cosh(b*x + a)*sinh(b*x + a) + sqrt(3)*sinh(b*x + a)^2)*arctan(-1/3*(sqrt(3)*cosh(b*x + a) + sqrt(3)*sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a))) + 3)/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
1059,1,192,0,0.414248," ","integrate((-csch(b*x+a)^4+sech(b*x+a)^4)/(csch(b*x+a)^4+sech(b*x+a)^4),x, algorithm=""fricas"")","\frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(b x + a\right)^{3} + 3 \, \sqrt{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + \sqrt{2} \sinh\left(b x + a\right)^{3} + {\left(3 \, \sqrt{2} \cosh\left(b x + a\right)^{2} - 7 \, \sqrt{2}\right)} \sinh\left(b x + a\right) + 7 \, \sqrt{2} \cosh\left(b x + a\right)}{4 \, {\left(\cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - \sinh\left(b x + a\right)^{3}\right)}}\right) + \sqrt{2} \arctan\left(-\frac{\sqrt{2} \cosh\left(b x + a\right) + \sqrt{2} \sinh\left(b x + a\right)}{4 \, {\left(\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}}\right)}{2 \, b}"," ",0,"1/2*(sqrt(2)*arctan(-1/4*(sqrt(2)*cosh(b*x + a)^3 + 3*sqrt(2)*cosh(b*x + a)*sinh(b*x + a)^2 + sqrt(2)*sinh(b*x + a)^3 + (3*sqrt(2)*cosh(b*x + a)^2 - 7*sqrt(2))*sinh(b*x + a) + 7*sqrt(2)*cosh(b*x + a))/(cosh(b*x + a)^3 - 3*cosh(b*x + a)^2*sinh(b*x + a) + 3*cosh(b*x + a)*sinh(b*x + a)^2 - sinh(b*x + a)^3)) + sqrt(2)*arctan(-1/4*(sqrt(2)*cosh(b*x + a) + sqrt(2)*sinh(b*x + a))/(cosh(b*x + a) - sinh(b*x + a))))/b","B",0
